tag:blogger.com,1999:blog-87855605276757001702024-02-19T04:23:47.752-08:00Filosofía, especie y sistemáticaDmirandaehttp://www.blogger.com/profile/13056310515360406367noreply@blogger.comBlogger142125tag:blogger.com,1999:blog-8785560527675700170.post-18014560870170496932021-03-10T08:55:00.004-08:002021-03-10T09:09:13.588-08:00Philosofical Posture<p style="text-align: justify;"> </p><p class="Default" style="text-align: center;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="font-size: 16pt; mso-ansi-language: EN-US; mso-bidi-font-size: 12.0pt;">PHILOSOPHICAL POSTURE</span></b></p><p class="Default" style="text-align: center;"><span style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="font-size: 16pt; mso-ansi-language: EN-US; mso-bidi-font-size: 12.0pt;"><i>Iver Leandro Daza</i></span></span></p>
<p class="Default" style="text-align: justify;"><span lang="EN-US" style="text-align: justify;">Traditionally the objective of parsimony has
been reduced to the expression of William de Ockham: "it is useless to do
with more what can be done with less", and this in essence has been said
to be the principle of parsimony</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;"> </span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">[1]</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">. Parsimony, among other principles for
inference, have been proposed to reach conclusions about phylogenetic
relationships </span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">[2]</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">. </span><span lang="EN-US" style="text-align: justify;">Maximum parsimony (MP), seeks to find the tree
topology that requires the least amount of changes in the state of the
character to produce the characteristics of the terminals present in the tree
and build said phylogenetic relationships and, additionally, provides an
ordering of the trees produced from "best" to “worst”</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;"> </span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">[3]</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">. </span><span lang="EN-US" style="text-align: justify;">This inference method requires that the
researcher distinguish between antetral and derived characters, plesiomorphies
of apomorphies, in the data set to be used</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;"> </span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">[4]</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">. </span><span lang="EN-US" style="text-align: justify;">With this said, the best genealogy is the one
that contains the least homoplasy </span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">[2]</span><span lang="EN-US" style="font-size: 10.5pt; line-height: 107%; text-align: justify;">.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">Among the main arguments against the use
of parsimony, it is found that parsimony implicitly assumes doubtful
propositions about evolutionary processes </span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1080/10635150490468657","ISSN":"10635157","PMID":"15371252","author":[{"dropping-particle":"","family":"Sober","given":"Elliott","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Systematic
Biology","id":"ITEM-1","issue":"4","issued":{"date-parts":[["2004"]]},"page":"644-653","title":"The
contest between parsimony and
likelihood","type":"article-journal","volume":"53"},"uris":["http://www.mendeley.com/documents/?uuid=19e9c216-da6e-4510-b267-ea63669537fa"]}],"mendeley":{"formattedCitation":"[3]","plainTextFormattedCitation":"[3]","previouslyFormattedCitation":"[3]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[3]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">. </span><span lang="EN-US" style="mso-ansi-language: EN-US;">For authors who propose against the use of
parsimony, such as Felsenstein, this may be inconsistent under a simplified
process model and also consider that in empirical data it has a higher
probability of failure </span><!--[if supportFields]><span style='font-size:
10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";color:black'><span
style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"author":[{"dropping-particle":"","family":"Donoghue","given":"Michael","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"EVOLUTION","id":"ITEM-1","issue":"4","issued":{"date-parts":[["1990"]]},"page":"1121-1123","title":"Why
parsimony","type":"article-journal","volume":"44"},"uris":["http://www.mendeley.com/documents/?uuid=875f894c-efc7-4a0e-aea4-8929c58d596c"]}],"mendeley":{"formattedCitation":"[5]","plainTextFormattedCitation":"[5]","previouslyFormattedCitation":"[5]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[5]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">. </span><span lang="EN-US" style="mso-ansi-language: EN-US;">Another argument mentions that it tries to
estimate too many parameters, this comes from the fact that, if each character
of the data is allowed its own branch length vector, the parsimony results are
similar to Maximum likelihood</span><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";"> </span><!--[if supportFields]><span style='font-size:
10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";color:black'><span
style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1016/s0748-3007(03)00017-3","ISSN":"07483007","abstract":"The
latest charge against parsimony in phylogenetic inference is that it involves estimating
too many parameters. The charge is derived from the fact that, when each
character is allowed a branch length vector of its own (instead of the
homogeneous branch lengths assumed in current likelihood models), the results
for likelihood and parsimony are identical. Parsimony, however, can also be
derived from simpler models, involvingfewer parameters. Therefore, parsimony
provides (as many authors had argued before) the simplest explanation of the
data, or the most realistic, dependingon one</span><span style='font-size:10.5pt;
line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";color:black'></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>s views. If (as argued by likelihoodists)
phylogenetic inference is to use the simplest model that provides sufficient
explanation of the data, the startingpoint of phylogenetic analyses should be
parsimony, not maximum likelihood. If the addition of new parameters (which
increase the likelihood) to a parsimony estimation is seen as desirable, this
may lead to a preference for results based on current likelihood models. If the
addition of parameters is continued, however, the results will eventually come
back to the same place where they had started, since allowing each character a
branch length of its own also produces parsimony. Parsimony can be justified by
very different types of models— either very complex or very simple. This
suggests that parsimony does have a unique place among methods of phylogenetic
esti-
mation.","author":[{"dropping-particle":"","family":"Goloboff","given":"P","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Cladistics","id":"ITEM-1","issue":"2","issued":{"date-parts":[["2003"]]},"page":"91-103","title":"Parsimony,
likelihood, and
simplicity","type":"article-journal","volume":"19"},"uris":["http://www.mendeley.com/documents/?uuid=c91f8e85-86e9-465f-89b4-6413d08f1dc5"]}],"mendeley":{"formattedCitation":"[6]","plainTextFormattedCitation":"[6]","previouslyFormattedCitation":"[6]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[6]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">. </span><span lang="EN-US" style="mso-ansi-language: EN-US;">Parsons also argues against it, mentioning that
the simplest explanation is not always correct, and there is no prima facie
reason to believe that a theory is correct because of the number of objects or
entities it contains </span><!--[if supportFields]><span style='font-size:10.5pt;
line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";color:black'><span
style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1007/s11229-012-0231-7","ISSN":"00397857","abstract":"The
theoretical virtue of parsimony values the minimizing of theoretical
commitments, but theoretical commitments come in two kinds: ontological and
ideological. While the ontological commitments of a theory are the entities it
posits, a theory's ideological commitments are the primitive concepts it
employs. Here, I show how we can extend the distinction between quantitative
and qualitative parsimony, commonly drawn regarding ontological commitments, to
the domain of ideological commitments. I then argue that qualitative
ideological parsimony is a theoretical virtue. My defense proceeds by
demonstrating the merits of qualitative ideological parsimony and by showing
how the qualitative conception of ideological parsimony undermines two notable
arguments from ideological parsimony: David Lewis' defense of modal realism and
Ted Sider's defense of mereological nihilism. © 2012 Springer Science+Business
Media Dordrecht.","author":[{"dropping-particle":"","family":"Cowling","given":"Sam","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Synthese","id":"ITEM-1","issue":"17","issued":{"date-parts":[["2013"]]},"page":"3889-3908","title":"Ideological
parsimony","type":"article-journal","volume":"190"},"uris":["http://www.mendeley.com/documents/?uuid=db755014-8a4b-4cbb-a1c8-1e0920924b81"]}],"mendeley":{"formattedCitation":"[7]","plainTextFormattedCitation":"[7]","previouslyFormattedCitation":"[7]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[7]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span lang="EN-US" style="mso-ansi-language: EN-US;">Despite the opposition against this approach,
there are others who favor this perspective.</span><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";"> </span><span lang="EN-US" style="mso-ansi-language: EN-US;">Platnick and Gaffne in a discussion of Popper and systematics suggested
that the best method for phylogenetic inferences is the one on which strong
proofs can be developed in the Popperian sense, which could offer a
justification for the use of cladistic parsimony</span><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";"> </span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"author":[{"dropping-particle":"","family":"Daniel","given":"Faith","non-dropping-particle":"","parse-names":false,"suffix":""},{"dropping-particle":"","family":"Peter","given":"Cranston","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Systematic
Biologists","id":"ITEM-1","issue":"2","issued":{"date-parts":[["2016"]]},"page":"252-257","title":"Probability
, Parsimony , and Popper","type":"article-journal","volume":"41"},"uris":["http://www.mendeley.com/documents/?uuid=73a478ea-584f-46ca-9de4-27257c962810"]}],"mendeley":{"formattedCitation":"[8]","plainTextFormattedCitation":"[8]","previouslyFormattedCitation":"[8]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[8]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">. </span><span lang="EN-US" style="mso-ansi-language: EN-US;">In fact, Sober maintains that phylogenetic
reconstructions are better interpreted from the Popperian corroboration </span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"author":[{"dropping-particle":"","family":"Donoghue","given":"Michael","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"EVOLUTION","id":"ITEM-1","issue":"4","issued":{"date-parts":[["1990"]]},"page":"1121-1123","title":"Why
parsimony","type":"article-journal","volume":"44"},"uris":["http://www.mendeley.com/documents/?uuid=875f894c-efc7-4a0e-aea4-8929c58d596c"]}],"mendeley":{"formattedCitation":"[5]","plainTextFormattedCitation":"[5]","previouslyFormattedCitation":"[5]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[5]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";">. Even when it’s generally accepted that f</span><span lang="EN-US" style="mso-ansi-language: EN-US;">or molecular analyzes likelihood is
more appropriate, as well as inference by parsimony is more appropriate for
morphological data, it has not been proven and in fact it is more “a social
fact and not something logically inevitable", in other words, the data
does not have an explicit indicator of which method is better for the analysis </span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-begin;mso-field-lock:yes'></span></span><span
lang=EN-US style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black;mso-ansi-language:EN-US'>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1080/10635150490468657","ISSN":"10635157","PMID":"15371252","author":[{"dropping-particle":"","family":"Sober","given":"Elliott","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Systematic
Biology","id":"ITEM-1","issue":"4","issued":{"date-parts":[["2004"]]},"page":"644-653","title":"The
contest between parsimony and
likelihood","type":"article-journal","volume":"53"},"uris":["http://www.mendeley.com/documents/?uuid=19e9c216-da6e-4510-b267-ea63669537fa"]}],"mendeley":{"formattedCitation":"[3]","plainTextFormattedCitation":"[3]","previouslyFormattedCitation":"[3]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}</span><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro"; mso-no-proof: yes;">[3]</span><!--[if supportFields]><span
style='font-size:10.5pt;line-height:107%;mso-bidi-font-family:"Adobe Garamond Pro";
color:black'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="color: black; font-size: 10.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-bidi-font-family: "Adobe Garamond Pro";"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span lang="EN-US" style="mso-ansi-language: EN-US;">It seems the homoplasy interference while
trying to study the phylogenetic relationship in the clade caudata has not been
fully resolved using these approaches, that’s why the implied weighing method
of the MP has a certain appeal given the fact that no other research (not even
the amphibian tree of life phylogeny </span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"abstract":"The
evidentiary basis of the currently accepted classification of living amphibians
is dis- cussed and shown not to warrant the degree of authority conferred on it
by use and tradition. A new taxonomy of living amphibians is proposed to
correct the deficiencies of the old one. This new taxonomy is based on the
largest phylogenetic analysis of living Amphibia so far accomplished. We
combined the comparative anatomical character evidence of Haas (2003) with DNA
sequences from the mitochondrial transcription unit H1 (12S and 16S ribosomal
RNA and tRNAValine histone H3, rhodopsin, tyrosinase, and seven in absentia,
and the large ribosomal subunit 28S ( 2,300 bp of nuclear sequences; ca. 1.8
million base pairs; x genes, 2,400 bp of mitochondrial sequences) and the
nuclear genes ¯ 3.7 kb/terminal). The dataset includes 532 terminals sampled
from 522 species representative of the global diversity of amphibians as well
as seven of the closest living relatives of amphibians for outgroup com-
parisons. The primary purpose of our taxon sampling strategy was to provide
strong tests of the monophyly of all ‘‘family-group’’ taxa. All currently
recognized nominal families and subfam- ilies were sampled, with the exception
of Protohynobiinae (Hynobiidae). Many of the currently recognized genera were
also sampled. Although we discuss the monophyly of genera, and provide remedies
for nonmonophyly where possible, we also make recommendations for future
research. A parsimony analysis was performed under Direct Optimization, which
simultaneously op- timizes nucleotide homology (alignment) and tree costs,
using the same set of assumptions throughout the analysis. Multiple search
algorithms were run in the program POY over a period of seven months of
computing time on the AMNH Parallel Computing Cluster. Results demonstrate that
the following major taxonomic groups, as currently recognized, are nonmonophyletic:
Ichthyophiidae (paraphyletic with respect to Uraeotyphlidae), Caecili- idae
(paraphyletic with respect to Typhlonectidae and Scolecomorphidae),
Salamandroidea (paraphyletic with respect to Sirenidae), Leiopelmatanura
(paraphyletic with respect to Asca- phidae), Discoglossanura (paraphyletic with
respect to Bombinatoridae), Mesobatrachia (par- aphyletic with respect to
Neobatrachia), Pipanura (paraphyletic with respect to Bombinatoridae and
Discoglossidae/Alytidae), Hyloidea (in the sense of containing Heleophrynidae;
paraphy- letic with respect to Ranoidea),
Lepto…","author":[{"dropping-particle":"","family":"Faivovich","given":"N","non-dropping-particle":"","parse-names":false,"suffix":""},{"dropping-particle":"","family":"Frost","given":"Darrel
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amphibian tree of life
´","type":"article-journal"},"uris":["http://www.mendeley.com/documents/?uuid=7685dc48-07f5-49a5-aae3-37f10d635cae"]}],"mendeley":{"formattedCitation":"[9]","plainTextFormattedCitation":"[9]","previouslyFormattedCitation":"[9]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}<span
style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-no-proof: yes;">[9]</span></span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">) has tried to reweight characters
given the rampant homoplasy some authors claim have found </span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1038/35069051","ISSN":"00280836","PMID":"11279493","abstract":"With
ten extant families, salamanders (urodeles) are one of the three major groups
of modern amphibians (lissamphibians). Extant salamanders are often used as a
model system to assess fundamental issues of developmental, morphological and
biogeographical evolution. Unfortunately, our understanding of these issues has
been hampered by the paucity of fossil evidence available to assess the early
history of the group. Here we report the discovery of an extraordinary sample
of salamander fossils, some with rare soft-tissue impressions, from the Upper
Jurassic of China. With over 500 articulated specimens, this assemblage
documents the morphological diversity of early urodeles and includes larvae and
adults of both neotenic and metamorphosed taxa. Phylogenetic analysis confirms
that these salamanders are primitive, and reveals that all basal salamander
clades have Asian distributions. This is compelling evidence for an Asian
origin of Recent salamanders, as well as for an extensive and early radiation
of several major lineages. These discoveries show that the evolution of
salamanders has involved phylogenetic and ecological diversification around a
body plan that has remained fundamentally stable for over 150 million
years.","author":[{"dropping-particle":"","family":"Gao","given":"Ke
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Jurassic salamanders from northern
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evolutionary history of the largest salamander family (Plethodontidae) is
characterized by extreme morphological homoplasy. Analysis of the mechanisms
generating such homoplasy requires an independent molecular phylogeny. To this
end, we sequenced 24 complete mitochondrial genomes (22 plethodontids and two
outgroup taxa), added data for three species from GenBank, and performed
partitioned and unpartitioned Bayesian, maximum likelihood, and maximum
parsimony phylogenetic analyses. We explored four dataset partitioning
strategies to account for evolutionary process heterogeneity among genes and
codon positions, all of which yielded increased model likelihoods and decreased
numbers of supported nodes in the topologies (Bayesian posterior probability
>0.95) relative to the unpartitioned analysis. Our phylogenetic analyses
yielded congruent trees that contrast with the traditional morphology-based
taxonomy; the monophyly of three of four major groups is rejected. Reanalysis
of current hypotheses in light of these evolutionary relationships suggests
that (i) a larval life history stage reevolved from a direct-developing
ancestor multiple times; (ii) there is no phylogenetic support for the
\"Out of Appalachia\" hypothesis of plethodontid origins; and (iii)
novel scenarios must be reconstructed for the convergent evolution of projectile
tongues, reduction in toe number, and specialization for defensive tail loss.
Some of these scenarios imply morphological transformation series that proceed
in the opposite direction than was previously thought. In addition, they
suggest surprising evolutionary lability in traits previously interpreted to be
conservative.","author":[{"dropping-particle":"","family":"Mueller","given":"Rachel
Lockridge","non-dropping-particle":"","parse-names":false,"suffix":""},{"dropping-particle":"","family":"Macey","given":"J.
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style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-no-proof: yes;">[10,11]</span></span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">. The justification for the use of
parsimony is quite dependent on philosophical and statistical inference </span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN CSL_CITATION {"citationItems":[{"id":"ITEM-1","itemData":{"DOI":"10.1111/ecog.04228","ISSN":"16000587","abstract":"The
idea that simplicity of explanation is important in science is as old as
science itself. However, scientists often assume that parsimonious theories, hypothesis
and models are more plausible than complex ones, forgetting that there is no
empirical evidence to connect parsimony with credibility. The justification for
the parsimony principle is strongly dependent on philosophical and statistical
inference. Parsimony may have a true epistemic value in the evaluation of
correlative and predictive models, as simpler models are less prone to
overfitting. However, when natural mechanisms are explicitly modelled to
represent the causes of biological phenomena, the application of the parsimony
principle to judge the plausibility of mechanistic models would entail an
unsupported belief that nature is simple. Here, we discuss the challenges we
face in justifying, measuring, and assessing the trade-off between simplicity
and complexity in ecological and evolutionary studies. We conclude that
invoking the parsimony principle in ecology and evolution is particularly
important in model-building programs in which models are viewed primarily as an
operational tool to make predictions (an instrumentalist view) and in which
data play a prominent role in deciding the structure of the model. However,
theoretical advances in ecology and evolutionary biology may be derailed by the
use of the parsimony principle to judge explanatory mechanistic models that are
designed to understand complex natural phenomena. We advocate a parsimonious
use of the parsimony
principle.","author":[{"dropping-particle":"","family":"Coelho","given":"Marco
Túlio P.","non-dropping-particle":"","parse-names":false,"suffix":""},{"dropping-particle":"","family":"Diniz-Filho","given":"José
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parsimonious view of the parsimony principle in ecology and
evolution","type":"article-journal","volume":"42"},"uris":["http://www.mendeley.com/documents/?uuid=a4b535ef-b670-46c5-96c7-923ee8d6be54"]}],"mendeley":{"formattedCitation":"[1]","plainTextFormattedCitation":"[1]","previouslyFormattedCitation":"[1]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}<span
style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-no-proof: yes;">[1]</span></span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;"> just as corroboration and
probability both are linked, as discussed by popper </span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN CSL_CITATION
{"citationItems":[{"id":"ITEM-1","itemData":{"author":[{"dropping-particle":"","family":"Daniel","given":"Faith","non-dropping-particle":"","parse-names":false,"suffix":""},{"dropping-particle":"","family":"Peter","given":"Cranston","non-dropping-particle":"","parse-names":false,"suffix":""}],"container-title":"Systematic
Biologists","id":"ITEM-1","issue":"2","issued":{"date-parts":[["2016"]]},"page":"252-257","title":"Probability
, Parsimony , and
Popper","type":"article-journal","volume":"41"},"uris":["http://www.mendeley.com/documents/?uuid=73a478ea-584f-46ca-9de4-27257c962810"]}],"mendeley":{"formattedCitation":"[8]","plainTextFormattedCitation":"[8]","previouslyFormattedCitation":"[8]"},"properties":{"noteIndex":0},"schema":"https://github.com/citation-style-language/schema/raw/master/csl-citation.json"}<span
style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-no-proof: yes;">[8]</span></span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">. In the maximum parsimony the
implied weighing method follows the inverse ratio path that the corroboration
and probability have, as the more homoplasy found in a tree’s character, the
less impact it has on the subsequent construction of the trees. <o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span lang="EN-US" style="mso-ansi-language: EN-US;">The ongoing debate on which method might be
better will continue, but I am not going to say that future works using
Bayesian inference or maximum likelihood methods will not be helpful. The
current approach is a proposal to resolve the current situation and try to
emphasize the important of parsimony method among the family-level relationship
of the salamanders <o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span lang="EN-GB" style="mso-ansi-language: EN-GB;">Bibliography<o:p></o:p></span></b></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><!--[if supportFields]><span
lang=EN-GB style='mso-ansi-language:EN-GB'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN Mendeley Bibliography CSL_BIBLIOGRAPHY <span
style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">1.Sober E. 2004 The contest between
parsimony and likelihood. <i>Syst. Biol.</i> <b>53</b>, 644–653. <o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">2.Rodríguez
A <i>et al.</i> 2017 Inferring the shallow phylogeny of true salamanders
(Salamandra) by multiple phylogenomic approaches. <i>Mol. Phylogenet. Evol.</i>
<b>115</b>, 16–26. <o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">3.Coelho
MTP, Diniz-Filho JA, Rangel TF. 2019 A parsimonious view of the parsimony
principle in ecology and evolution. <i>Ecography (Cop.).</i> <b>42</b>,
968–976. <o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">4.Sober
E. 1983 Parsimony in Systematics. <i>Ann. Rev. Ecol. Syst.</i> <b>14</b>,
335–357.<o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">5.Popper
K. 2005 <i>The logic of scientific discovery</i>. Routledge. <o:p></o:p></span></p>
<p class="MsoNormal" style="line-height: normal; margin-left: 32pt; text-align: justify; text-indent: -32pt;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-font-size: 12.0pt; mso-hansi-font-family: Calibri; mso-no-proof: yes;">6.Daniel
F, Peter C. 2016 Probability , Parsimony , and Popper . Cranston Published by :
Oxford University Press for the Society of Systematic Biologists Stable Pa. <i>Syst.
Biol.</i> <b>41</b>, 252–257.</span><span lang="EN-US" style="mso-ansi-language: EN-US; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-hansi-font-family: Calibri; mso-no-proof: yes;"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><!--[if supportFields]><span
lang=EN-GB style='mso-ansi-language:EN-GB'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-GB" style="mso-ansi-language: EN-GB;"><o:p> </o:p></span></p>Iver Leandro Dazahttp://www.blogger.com/profile/04804136159250273045noreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-66321940310753600092021-03-10T08:21:00.002-08:002021-03-10T08:22:59.471-08:00Parsimony analysis using implied weighting on an asian salamander family (amphibia, caudata)<div style="text-align: center;"><br /></div><div style="text-align: left;"><div><b>Introduction</b></div><p style="text-align: justify;">Caudata is a group that contains 578 species grouped into 67 genus, that forms part of the Lissamphibia together with modern Anura and extant Gymnophiona[1,2]. These species are contained within 10 families: Cryptobranchidae, Hynobiidae, Proteidae, Sirenidae, Dicamptodonidae, Ambystomatidae, Salamandridae, Plethodontidae, Amphiumidae and Rhyacotritonidae [2]. Since some genera of salamanders have been used as a study model [3–6], phylogenetic analyses with more robust resolution at the family level are necessary [3]. These investigations search for evolutionary patterns from comparatives studies, such as the mechanisms of tissue regeneration, and they can identify unique and derived characters and identify present homoplasy as long as they contain phylogenies with adequate resolutions [7]. This homoplasy is frequently found within the clade of caudata [8,9]. Many of the characters present in caudata have not developed due to synapomorphy, which may lead to the belief that this tendency may be reflected at the molecular level [10]. In this sense, using a phylogeny it’s possible to find answers about the behaviour, origin or development of certain characters, however, arguments explaining characteristics in plethodontids may not work for hynnobiids [10]. To search for these arguments, parsimony inference has been used for the phylogenies [3,8,9,11–13]. Even taking into account the aforementioned abundance of homoplasy throughout caudata, parsimony analyses have been using equal weights. The relationship between character weighing and parsimony was previously discussed and it was stated that "the most parsimonious cladogram is the hypothesis with the most explanatory power, given the weight that each character deserves", concluding that if the data is weighed appropriately, that data should always be preferred [14]. Furthermore, reducing the weight of characters with greater homoplasy is an issue that has been treated favourably on several occasions [15]. Implicit character weighing, as this method of weighing against homoplasy is known, improves analysis results even on large molecular data sets [16]. In other words, If the results of a given implied weighing outcome are not satisfactory “the results can only be criticized on the grounds that the weights have not been assigned in the best way” [15]. Said weighing can be done through a concavity function used in implied weighting, which is a decreasing function that weighs characters according to their homoplasy so that, when the fit of trees are compared, the influence of that homoplasy will be properly rescaled [17]. The influence of the homoplasy in the characters is altered with a constant, which is K, however, the use of a certain optimal value can be misleading because a group can appear only under this value, and the monophyly of this group cannot be considered as firmly established just because it occurs close or on that value [18].</p><div style="text-align: justify;"><b>Methodology</b></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">For this analysis, data was obtained from Weisrock [12]. With a total of 14 terminals used within the hynobiidae family with 1 mitochondrial gene and 1 nuclear gene (12S-16S and ND2-COI). For this, the sequences were aligned via MUSCLE [19] using Andrias japonicus as an outgroup and the present gaps were taken as missing information. The analysis was made using maximum parsimony and TNT v.1.5 [20], establishing parameters for the K value following previous guidelines [21], however in this work 5 values among said guidelines will be evaluated (20, 21, 23, 26, 30). Subsequently, a heuristic search was performed with the "mult" command using 100 replications, with the TBR method, 10 drifting iterations and using a random adittion sequence. The tree support was built by means of the "resample" command using 500 iterations of bootstrap. Saving each tree with its support values.</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><b>Results and discussions</b></div><div style="text-align: justify;"><b><br /></b></div><div style="text-align: justify;">Throughout the procedure, each value of K resulted in a tree on which bootstrap was applied, the topology of the trees conserves the same phylogenetic relationships among themselves except between <i>Hynobiidae amjieensis</i> and <i>H. leechi,</i> which presents a polytomy with the values of K = 26 and K = 30. In figure 1 you can see the tree with the best support obtained with the different values of K.</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiug0rDaS2Vm3QpW052vELFixR3NIWGvOu4mUAQVaKPYn07zzm9NbrwYVLV1QWZ73ZPBNOBKwo7n8eHv_C4a_Ae8DnxVSUNTjatIouBY5vobtFSaAhpWM14CPP98MrtUeNpre-NthK32Yw/s466/fig+1.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="466" data-original-width="409" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiug0rDaS2Vm3QpW052vELFixR3NIWGvOu4mUAQVaKPYn07zzm9NbrwYVLV1QWZ73ZPBNOBKwo7n8eHv_C4a_Ae8DnxVSUNTjatIouBY5vobtFSaAhpWM14CPP98MrtUeNpre-NthK32Yw/s320/fig+1.png" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;"><div>Fig. 1 Phylogeny of clade hynobiidae evaluated using value k = 23, includes the outgroup <i>A. japonicus</i> and bootstrap values</div></td></tr></tbody></table><br /><div class="separator" style="clear: both; text-align: justify;"><br /></div><br /><br /></div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto;"><tbody><tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgx40Av_lRP435ZxXffSJ0eVayZeTT6KlFlR36wbyRmo_wIcaaQA2YbMp6t0gzhpChyTjIJKBEwiDi9S5qqs7clkRzYQFxmSrPtUCGY75MWS97pu1-vG-F7XZBOZFdBdZwidMECrVhWahk/s466/fig+2.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="466" data-original-width="409" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgx40Av_lRP435ZxXffSJ0eVayZeTT6KlFlR36wbyRmo_wIcaaQA2YbMp6t0gzhpChyTjIJKBEwiDi9S5qqs7clkRzYQFxmSrPtUCGY75MWS97pu1-vG-F7XZBOZFdBdZwidMECrVhWahk/s320/fig+2.png" /></a></td></tr><tr><td class="tr-caption" style="text-align: center;">Fig. 2 Phylogeny of clade hynobiidae evaluated using value k = 30, includes the outgroup <i>A. japonicus</i> and bootstrap values</td></tr></tbody></table><p>The relationships that are presented are mostly similar, however, the differences found between the topologies given by the values of K = 26 and K = 30 lead to support the topology shown in figure 2. Compared with the tree obtained by maximum parsimony from the original work, the bootstrap supports are higher, while the bootstrap values obtained by TNT during this analysis are not as well supported as those mentioned from Weisrock et al. work. This may be due to the genres taken for the present analysis. On the other hand, the phylogenetic relationships obtained here do not differ much from those obtained by Weisrock [12], a result that can also be associated with the number of species taken.</p><p><b>Conclusions</b></p><p>Implicit weighing was used during the parsimony analysis, and larger differences were expected in phylogenetic relationships that could reflect the impact of an assessment of the weight of traits based on their homoplasy. However, the results do not show such an impact, so it is thought that an evaluation with more data and more terminals in the data matrix to be used could show if there is a significant difference. However, and taking into account the results obtained here, it is possible that it will not have a marked difference regarding the use of equal weights of the characters to be used in maximum parsimony for clades where homoplasy is very marked throughout the characters.</p><p><b>Bibliography</b></p><p>1. Blackburn D, Wake D. 2011 Class Amphibia Gray, 1825. In: Zhang, Z.-Q.(Ed.) Animal biodiversity: An outline of higher-level classification and survey of taxonomic richness. <i>Zootaxa</i> 3148, 39–55.</p><p>2. Pearson M. 2016 Phylogeny and systematic history of early salamanders. <i>University College London</i>.</p><p>3. Zhang P, Wake DB. 2009 Higher-level salamander relationships and divergence dates inferred from complete mitochondrial genomes. <i>Molecular Phylogenetics and Evolution</i>. 53, 492–508. </p><p>4. Arenas Gómez CM, Gómez Molina A, Zapata JD, Delgado JP. 2017 Limb regeneration in a direct-developing terrestrial salamander,<i> Bolitoglossa ramosi </i>(Caudata: Plethodontidae). <i>Regeneration</i> 4, 227–235.</p><p>5. Liu Q, Zhang Y, Wang J, Yang H, Hong L. 2020 Modeling of the neural mechanism underlying the terrestrial turning of the salamander. <i>Biological. Cybernetics.</i> 114, 317–336.</p><p>6. Parish CL, Beljajeva A, Arenas E, Simon A. 2007 Midbrain dopaminergic neurogenesis and behavioural recovery in a salamander lesion-induced regeneration model. <i>Development</i> 134, 2881–2887.</p><p>7. Dwaraka VB, Voss SR. 2019 Towards comparative analyses of salamander limb regeneration. <i>Journal of Experimental Zoology Part B: Molecular and Developmental Evolution</i></p><p>8. Gao KQ, Shubin NH. 2001 Late Jurassic salamanders from northern China. <i>Nature</i> 410, 574–577.</p><p>9. Mueller RL, Macey JR, Jaekel M, Wake DB, Boore JL. 2004 Morphological homoplasy, life history evolution, and historical biogeography of plethodontid salamanders inferred from complete mitochondrial genomes. <i>Proceedings of the National Academy of Sciences of the United States of America</i>. 101, 13820–13825.</p><p>10. Wake DB. 2009 What salamanders have taught Us about evolution. <i>Annual Review of Ecology, Evolution, and Systematics</i>. 40, 333–352.</p><p>11. Faivovich N et al. 2006 The amphibian tree of life. <i>Bulletin of the American Museum of Natural History</i></p><p>12. Weisrock DW, Macey JR, Matsui M, Mulcahy DG, Papenfuss TJ. 2013 Molecular phylogenetic reconstruction of the endemic Asian salamander family hynobiidae (Amphibia, Caudata). <i>Zootaxa</i> 3626, 77–93.</p><p>13. Weisrock DW, Harmon LJ, Larson A. 2005 Resolving deep phylogenetic relationships in salamanders: Analyses of mitochondrial and nuclear genomic data. <i>Systematic Biology</i>. 54, 758–777.</p><p>14. Farris J. 1983 The logical basis of phylogenetic taxonomy. <i>Systematic Biology</i>. 54, 595–619.</p><p>15. Goloboff PA. 1995 parsimony and weighting: a reply to turner and zandee. <i>Cladistics</i> , 91–104.</p><p>16. Goloboff PA. 2013 Extended implied weighting. <i>Cladistics</i> 1, 1–13.</p><p>17. Goloboff PA. 1995 parsimony and weighting: a reply to turner and zandee. <i>Cladistics</i> , 91–104.</p><p>18. Goloboff PA, Carpenter JM, Arias JS, Esquivel DRM. 2008 Weighting against homoplasy improves phylogenetic analysis of morphological data sets. <i>Cladistics</i> 24, 758–773.</p><p>19. Madeira F et al. 2019 The EMBL-EBI search and sequence analysis tools APIs in 2019. <i>Nucleic Acids Research</i>. 47, W636—W641.</p><p>20. Giribet G. 2005 TNT: Tree Analysis Using New Technology. <i>Systematic Biology</i>. 54, 176–178.</p><p>21. Mirande JM. 2018 Morphology, molecules and the phylogeny of Characidae (Teleostei, Characiformes). <i>Cladistics</i> 35, 282–300.</p><div style="text-align: justify;"><b><br /></b></div></div>Iver Leandro Dazahttp://www.blogger.com/profile/04804136159250273045noreply@blogger.com1tag:blogger.com,1999:blog-8785560527675700170.post-8891968080593956272021-03-10T08:11:00.008-08:002021-03-10T08:11:50.181-08:00Phylosophy in phylogenetic analyses <p> </p><div class="WordSection1">
<p align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman", serif;"><b><span style="font-size: large;">Phylosophy In Phylogenetic Analysis</span></b></span></i></p><p align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman",serif; font-size: 12.0pt; mso-ansi-language: EN-US;">María Cristina Navas Serrano <a name="_Hlk506826425">–</a> 2170058.<o:p></o:p></span></i></p>
</div>
<p class="MsoNormal" style="text-align: justify;"><br /></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">In the present written, I going to expose why the
Bayesian philosophy, according to my perspective, have a frame of beliefs more
credible than the philosophy of likelihoodism.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">First of all, bayesian philosophy, in general terms, use
the Bayes theorem to support its beliefs, used for Richard Royall's itself to
answer question about what we should believe from the evidence. But, why
believe in Bayesian philosophy and not in likelihoodism? The line of thought
proposed by Bayesian philosophy is firm, stating with certainty we should
believe in a hypothesis or not the given evidence, with a mathematical
foundation, that is different to the likelihoodish, which don’t have an answer
for this question. They support instead a degree of belief for the evidence,
and that’s a different approach<sup>1, 2</sup>.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The basis used by Bayesianism does not focus only on
the results based on the present observations we make (called posteriori
probabilities), it takes into account the probabilities of the hypotheses before
we have the observations (called a priori probabilities)<sup>1</sup>.
Likelihoodism may be similar to Bayesionism in some aspects of the probability,
they differ by those characteristics. Likelihood don’t take into account the
prior probabilities, focusing only on how the evidence may or may not support
one hypothesis compared to another alternative hypothesis. The probabilities a
priori influence the posteriori probabilities, this evidence of possible
results, an initial expectation, what Sober (2008) calls an "anchor"
of the results, is necessary <sup>1</sup>.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">And by focusing more on this part of the mathematical
basis of Bayesian philosophy, that as I said first, is based on the Bayes
theorem to support its beliefs, giving it a mathematical basis that supports its
ideas. However, likelihoodism is based on any theorem. Likelihoodism is a
concept based on the Likelihood function proposed and defended by R. A. Fisher,
who justified that likelihoodism is the measure of the fit to the evidence to
the hypothesis<sup>1, 2</sup>. It doesn't take care if the evidence make
changes in the hypotheses probabilities, it just compare hypotheses with
determinate probability. This is closer approach, and it could generate
mistakes when we want to know what is the reason of the changes. That mean that
this is not applicable, or that it doesn't work to support theories or support
hypotheses, eventually, my project is based on this philosophy. I don’t have
another option by the nature of my data and because it allows leaving out some
positions that can be subjective when it comes to Bayesianism. By not having a
priori probabilities or subjectively assigning the probabilities of the
hypotheses, my knowledge acquired empirically doesn't influence the analysis
that I'm making.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">However, Likelihoodism is more efficient, but it
doesn’t make it more precise. Bayesianism in addition to what we should believe
from evidence, permits us to know the reliability of a hypothesis if we know
how possible a hypothesis is to be true given the observations, and also
permits us to know how sensitive the observations and procedures are to changes
for answer the hypothesis, while likelihoodism depends on the quantitative
ratio of likelihoods (support measure of the observations to one hypothesis or
another) to give a degree of credibility to the hypotheses.<sup>1</sup>
Likelihood don’t measure the reliability or the sensitive in the observations,
because it doesn’t measure posteriori probabilities, and it doesn’t analyze one
single hypothesis, it always need an alternative hypothesis to compare.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">In likelihoodism, any hypothesis can have a degree of
credibility. With this, we return to the topic of ignoring probabilities a
priori, and I will use the example proposed by Sober (2008) to explain this a
bit<sup>1</sup>: <o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Suppose we hear noises in our attic. Analyzing the
situation, we might think that gremlins are bowling in our attic. Under a
likelihoodism and Bayesian frame, the probability that the noise was generated
by gremlins is high, because if the gremlins were playing bowling in the attic,
they would make a lot of noise, that's a fact. The probability that the noise
was due to gremlins would be taken into account, which is a hypothesis with a
very, very low probability under the likelihoodism and Bayesian frame, but,
Bayesianism take account the probability of have gremlins, that give us more
information, and that affects our posteriori probability and give us a more
precise result<sup>1</sup>. Because of this, we could use the likelihood
philosophical framework to state any hypothesis, even giving it a low
probability, whether it is supported by observations, it can become more likely
than other more realistic hypotheses. The fact that it is possible to build any
hypothesis does not justify the correctness, and it gives a degree of
subjectivity to this method, thus allowing very strange hypotheses to be very
probable and that any hypothesis can be raised.</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">If we put together everything described here, using
Bayesian philosophy we can have more precise answers that cover more
information about the total probabilistic frame that the hypothesis has, in
addition to having more possibility of analyzing the data, and taking into
account the probabilities a priori, due to its solid mathematical base provides
better analysis to the data, even though it cannot be very flexible in all its
terms and have some subjective aspects that could affect our analysis.<sup>1</sup>.
Because my question is based on answering how much data and methods influence
the result, it is possible to do it under a likelihoodism framework, focusing
on the methods that I use and the difference between them, however, I still
support my philosophical position on the side of the Bayesianism.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">BIBLIOGRAPHY<o:p></o:p></span></p>
<p class="MsoListParagraphCxSpFirst" style="margin-left: 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Sober, E.
(2008). <i style="mso-bidi-font-style: normal;">Evidence and Evolution: The logic
behind the science</i>. Cambridge University Press.<o:p></o:p></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-left: 18.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;"><!--[if !supportLists]--><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US; mso-fareast-font-family: "Times New Roman";"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Royall, R.
(1997). <i style="mso-bidi-font-style: normal;">Statistical Evidence. A
Likelihood Paradigm</i>. Chapman and Hall.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>Cristina Navashttp://www.blogger.com/profile/03985352034109679005noreply@blogger.com1tag:blogger.com,1999:blog-8785560527675700170.post-7924464435791325182021-03-10T08:04:00.006-08:002021-03-10T08:20:26.505-08:00How the number of fossils and the type of molecular clock changes the estimation of ages<p> </p><div class="WordSection1">
<p align="center" class="01PaperTitle" style="line-height: normal; margin-bottom: 0cm; text-align: center;"><span style="mso-ansi-language: EN-US; mso-bidi-font-size: 12.0pt;">HOW THE NUMBER OF FOSSILS AND THE TYPE OF MOLECULAR
CLOCK CHANGE THE ESTIMATION OF AGES?</span><b><i><span style="font-family: "Times New Roman",serif; font-size: 4pt; mso-ansi-language: EN-US; mso-bidi-font-size: 12.0pt;"><o:p> </o:p></span></i></b></p>
<p align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><i style="mso-bidi-font-style: normal;"><span lang="es" style="font-family: "Times New Roman",serif; font-size: 12pt;"><b style="mso-bidi-font-weight: normal;">DATE:
</b>10/03/2021<b style="mso-bidi-font-weight: normal;"><o:p></o:p></b></span></i></p>
<p align="center" class="MsoNormal" style="line-height: normal; text-align: center;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman",serif; font-size: 12pt; mso-ansi-language: EN-US;">María Cristina Navas Serrano <a name="_Hlk506826425">–</a> 2170058.<o:p></o:p></span></i></p>
</div>
<div class="WordSection2"><p class="MsoNormal" style="text-align: justify;"><br /></p></div>
<div class="WordSection3">
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">INTRODUCTION</span></b></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">In recent years, the use of DNA sequences is more common
to estimate evolutionary moments of relevance, especially for the estimation of
the divergence times of clades and species (Rutschmann, 2006). In 1965,
Zuckerkandl and Pauling (1965), after compare the differences in the hemoglobin
protein sequences of different species against the estimated ages of the
species' fossils, they postulated that the differences between the DNA
sequences of two species are a function of the time that they diverged apart,
so they evolved at a rate constant over time, adapting to the postulates of
Moto Kimura's neutral theory (Rutschmann, 2006; Bromham and Penny, 2003).<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">With the discovery of the molecular clock, various
techniques different than a constant rate clock has been proposed. Langley and
Fitch (1974) said that the evolutionary rates in primates were different from
those of mammals, so a molecular clock with strict rates will be an imprecise
method in some cases. Through time, it has been shown that constant rates of
evolution may be the exception rather than the rule, and therefore species have
different evolutionary rates, calling clocks that have variable rates “relax
clocks” (Welch and Bromham, 2005).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Various techniques have been developed for the
estimation of strict (constant rate clocks) and relax clocks, often using
information of geological moments or the estimated ages of the fossils to
calibrate the topologies. One of the simplest methods to estimate divergence
times with one rate of change is the Langley-Fitch method (Langley and Fitch,
1974; Sanderson, 2003), which uses maximum likelihood to optimize the rate of
substitutions in phylogenies with known branch lengths, recalculating the
branch lengths and calculating the divergence times (Rutschmann, 2006). For the
calculation of relax clocks, one of the methods that estimates divergence times
incorporating heterogeneity in the rates is the nonparametric rate smoothing
method, from the acronym NPRS, which estimates unknown divergence times at the
same time as smooths the rate at which the rates change along the phylogeny,
using a nonparametric function that penalizes the rates that change faster in
the branches, as the rate of the tree itself changes (Sanderson, 1997, 2003;
Rutschmann, 2006). A technique that combines the two mentioned methods is the
penalized likelihood (PL), a semi-parametric method that uses a penalty value
for smoothing, which can be estimated by methods based on the data, whose value
leads to strict models if the value is high, or models with unconstrained
smoothing such as NPRS if the smoothing value is low (Sanderson, 2002, 2003;
Rutschmann, 2006). Other varieties of techniques also estimate divergence times
by incorporating heterogeneous rates in their calculations, such as heuristic
rate smoothing (AHRS), or the implementation of Bayesian models such as
PHYBAYES (Rutschmann, 2006).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Through time, the increase in molecular information
and DNA sequences, and the improvement of technology has allowed the
development of programs that make these techniques, therefore, in this project,
it will be tested the sensitivity of the estimates of divergence times
depending on the number of fossils tips and depending of the type of molecular
clock used, using the program r8s v1.81 (Sanderson, 2003) under the Langley-Fitch
method (Langley and Fitch, 1974; Sanderson, 2003) for 6 topologies of turtles
to the Pleurodira suborder, of the Pelomedusoides clade.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></b></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">METHODOLOGY</span></b></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Sampling<o:p></o:p></span></i></b></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">For the construction of the topologies, it was used the
largest matrix of morphological characters of of extant and extinct turtles of
the Pleurodira suborder currently known, made by Ferreira <i style="mso-bidi-font-style: normal;">et al</i>. (2018) (101 taxa x 245 characters), which was edited to
select only 17 terminals with representatives of the 3 families of Pelomedusoides:
Podocnemididae, Pelomedusoidea and Bothremididae. 7 terminals fossils and 10
existing terminals was chosen randomly, where it was ensured that this terminal
had sufficient molecular information, including 2 outgroups: <i style="mso-bidi-font-style: normal;">Chelus fimbriata</i>, an outgroup of
Pelomedusoides currently existing, and <i style="mso-bidi-font-style: normal;">Proganochelys
quenstedti</i>, a fossil outgroup of Pleurodira.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">For the existing terminals, a sampling of molecular information
was performed in the public access database GenBank (Benson et al., 2015) of 8
loci, with the mitochondrial genes CYTB, COI, 12S and the nuclear genes RAG1,
RAG2, R35, because it was possible to find sequences of this genes for the most
terminals. When multiple sequences were available for a given species, the
longest sequence was used. The gene sequences were individually aligned with
the ClustalW algorithm (Wilm et al., 2007) in the program MEGA-X v11.0 (Kumar
et al., 2018), and all the genes sequences were concatenated in an only one molecular
matrix using MESQUITE v3.61 (Maddison and Maddison, 2019).<span style="mso-spacerun: yes;"> </span>The program JmodelTest v2.1.10 (Darriba, et
al. 2012) was used to infer adequate DNA substitution for the set of genes, using
the Akaike information content (AIC).<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The matrix of morphological characters was
concatenated by hand together with the molecular matrix in a single matrix of
total evidence consisted of 8493 morphological and molecular characters. <o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Phylogenetic Analyses</span></i></b><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">To see the effect of the different number of fossil
terminals, that matrix with a total of 7 fossils was edited by hand to generate
another 2 matrices, with 5 and 3 fossils respectively heuristic search,
removing the fossil terminals <i style="mso-bidi-font-style: normal;">Bothremys
maghrebiana</i> and <i style="mso-bidi-font-style: normal;">Bairdemys thalassica</i>
for the matrix of 5 fossils, and <i style="mso-bidi-font-style: normal;">Ummulisani
rutgersensis</i> and <i style="mso-bidi-font-style: normal;">Caninemys tridentate</i>
for the matrix of 3 fossils. The fossil terminals removed were chosen randomly.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Subsequently, with the matrices, a maximum likelihood analysis
in PAUP* v4.0a (Swofford, 2003) was performed, using a heuristic search of 100
replicates, applying the tree bisection and reconnection (TBR) algorithm, under
the parameters of the molecular model that best adjust to the molecular data, GTR
+ I + G, without forcing a clock (relax clock) and forcing the clock (strict
clock), obtaining only a single best tree for each one of the searches with
branch lengths.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><br /></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">Divergence Time Analyses<o:p></o:p></span></i></b></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">For the estimation of the divergence times, all the
topologies with branch lengths were analyzed in r8s v1.81 (Sanderson, 2003)
where the trees made with a clock were analyzed according the parameters of the
program, with parameters of ultrametric topologies using the <i style="mso-bidi-font-style: normal;">ultrametric</i> command, without using an
algorithm that changed the branch lengths, because with this the uncalibrated
ages are immediately available for the tree, and scales the times to the
absolute age of one specific node in the tree (Sanderson, 2003). The trees made
with the relax clock were edited to remove the length of the root, that had a
value of 0, and the branch lengths of the outgroup <i style="mso-bidi-font-style: normal;">Proganochelys quenstedti</i> was used as the root, because PAUP roots
the trees with the closest sister group, leaving a root of length 0, forcing a
basal trichotomy. For fixing that error, it was used the outgroup <i style="mso-bidi-font-style: normal;">Proganochelys quenstedti</i> as an extra
outgroup following the recommendations of the program. The topologies made with
relax clock were analyzed under the Langley-Fitch method (Langley and Fitch,
1974; Sanderson, 2003), trying 3 initial points.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">All topologies made with both clocks were calibrated
with the fossil node of <i style="mso-bidi-font-style: normal;">Acleistochelys
maliensis</i> with an approximate age of 60 Ma, and the topologies made with
relax clock were given a root age range between 140 Ma to 160 Ma, according to
the age estimates of the Pelomedusoides clade made by Ferreira et al. (2018).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">All the trees resulting from the analyzes were
visualized and edited in the Figtree v.1.4.4 program, and with the Ape package
(Paradis et al., 2004) from R (R Core Team, 2020).<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">RESULTS</span></b></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The best molecular model calculated by JmodelTest
v2.1.10 (Darriba, et al. 2012) using the Akaike information content (AIC) was
GTR with invariants and gamma (GTR + I + G).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The results of the phylogenetic analyses with maximum
likelihood were one best tree of each one of the 6 searches for the different
clocks. <o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">In the topologies made with strict clock it is noted
that <i style="mso-bidi-font-style: normal;">Bairdemys thalassica</i> is the
sister taxon of the clade compound of taxa <i style="mso-bidi-font-style: normal;">Carbonemys
cofrinii</i> to <i style="mso-bidi-font-style: normal;">Podocnemis lewyana</i>
(Figure 1). In the topologies made with relax clock <i style="mso-bidi-font-style: normal;">Bairdemys thalassica</i> is the sister taxon of <i style="mso-bidi-font-style: normal;">Caninemys tridentate</i>, and they compound one single clade, sister of
<i style="mso-bidi-font-style: normal;">Podocnemis expansa</i> (Figura2). It can
also be seen the different relations of the family Podocnemididae. In the
topologies with strict clock, the clade compound for <i style="mso-bidi-font-style: normal;">Podocnemis expansa</i> and <i style="mso-bidi-font-style: normal;">Podocnemis
unifilis</i> is the sister clade of the clade compound of <i style="mso-bidi-font-style: normal;">Podocnemis erythrocephala</i> and <i style="mso-bidi-font-style: normal;">Podocnemis
lewyana</i>. It is also observed that <i style="mso-bidi-font-style: normal;">Erymnochelys
madagascariensis</i> and <i style="mso-bidi-font-style: normal;">Peltocephalus
dumerilianus</i> made one single clade.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The results of the divergence time analysis for the
trees made with a strict clock showed different time intervals with the different
number of fossils used.</span></p></div>
<div class="WordSection4">
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The topologies made forcing a strict clock shows an
interval of time from 19.22 Ma, to 126.09 Ma with 7 fossils, form 18.31 Ma to
120.37 Ma with 5 fossils and 14.84 Ma to 97.97 Ma with 3 fossils (Figure 1),
showing time intervals smallest that the shows the topologies made with relax
clock and different estimations of time for all the nodes. All the estimations
keep the age of 60 Ma of the node of <i style="mso-bidi-font-style: normal;">Acleistochelys
maliensis</i>.<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">The topologies made with relax clock shows an interval
of time from 11.49 Ma to 157.83 Ma with 7 fossils, from 13.78 Ma to 163.1 Ma
with 5 fossils, and from 12.57 Ma to 163.48 Ma with 3 fossils (Figure 2),
showing similar ages for the root, the node of <i style="mso-bidi-font-style: normal;">Chelus fimbriata</i>, and the nodes of the clade of the Pelomedusidae family:
<i style="mso-bidi-font-style: normal;">Pelomedusa subrufa</i>, <i style="mso-bidi-font-style: normal;">Pelusios castanoides</i> and <i style="mso-bidi-font-style: normal;">Pelusios castaneus</i>. All the estimations
keep the age of 60 Ma of the node of <i style="mso-bidi-font-style: normal;">Acleistochelys
maliensis,</i> and the age range for the root of 140 Ma to 160 Ma.</span></p><p class="MsoNormal" style="text-align: justify;"><span style="font-family: Times New Roman, serif;"><br /></span><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p></o:p></span></p><p class="MsoNormal" style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjp6vHI_I4Bb8GHOn7DhJ-sn8YQuzIMAHF4sa4GNMV4NhzwghPCRdffmSpH4gLAyou4XFnRtrqOYkZJL9axvwjOfc5u-vqM5Jb76-UdF2rUlhn6I3YoJVATjWwRGolLv1lBZc4zY8-BWNg/s1316/Strict.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="925" data-original-width="1316" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjp6vHI_I4Bb8GHOn7DhJ-sn8YQuzIMAHF4sa4GNMV4NhzwghPCRdffmSpH4gLAyou4XFnRtrqOYkZJL9axvwjOfc5u-vqM5Jb76-UdF2rUlhn6I3YoJVATjWwRGolLv1lBZc4zY8-BWNg/w640-h450/Strict.png" width="640" /></a></div><p></p><p class="MsoNormal" style="text-align: justify;"><b><span style="font-family: "Times New Roman", serif; font-size: 10pt; line-height: 15.3333px;">Figure 1. </span></b><span style="font-family: "Times New Roman", serif; font-size: 10pt; line-height: 15.3333px;">Divergence time resulting from topologies made with strict clock and different number of fossils.</span></p><p class="MsoNormal" style="text-align: justify;"><br /></p>
<p class="MsoNormal" style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggpTGxfPyRaJweguzyu4LU6YdBL2k93bu95grm1y9fEgH6DaSsb1rsFWq-AQ3yzu2f6qc96e530X2YeSihnOUmrb-nm1qYzEB1hM7kJatZjyyzFbXN1T7snlv9BK8sa9bDwri5yJOmn7U/s1316/Relax.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="925" data-original-width="1316" height="450" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEggpTGxfPyRaJweguzyu4LU6YdBL2k93bu95grm1y9fEgH6DaSsb1rsFWq-AQ3yzu2f6qc96e530X2YeSihnOUmrb-nm1qYzEB1hM7kJatZjyyzFbXN1T7snlv9BK8sa9bDwri5yJOmn7U/w640-h450/Relax.png" width="640" /></a></div><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Figure 2. </span></b><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Divergence time resulting from
topologies made with relax clock and different number of fossils.<o:p></o:p></span><p></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;"><o:p> </o:p></span></p>
</div>
<span style="font-family: "Times New Roman",serif; font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: Arial; mso-fareast-language: ES-CO;"><br clear="all" style="break-before: auto; mso-break-type: section-break; page-break-before: auto;" />
</span>
<div class="WordSection5">
<p class="MsoNormal" style="text-align: justify;"><b style="mso-bidi-font-weight: normal;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">DISCUSSION</span></b></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">It is possible to observe that the estimations made
with a greater number of fossils are those that have the highest values in
the interval of ages of the estimation of divergence times (Figure 1 and 2).
This can be explained by the extra information provided by the fossils in these
analyzes, when a greater number of fossils, like in the estimation with 7
fossils, allows to have a more precise result then in both estimations with 3
fossils, when the most fossils allowing an increase in the total length of
branches of the trees (Schwartz and Mueller, 2010).<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span><span style="font-family: "Times New Roman", serif;">Of all the topologies, the topologies made with relax clock
were the ones that showed an estimated maximum value of the time interval
closest to the mean of the interval given to the root from 140 Ma to 160 Ma (Figure
2), allowing us to infer that r8s has a better behavior with topologies with a
relax clock, that is, not ultrametric topologies, since initially it permits a
more complete calibration, letting us to constrain complete nodes as it made with
the root node; receive more information on the ages of the fossil nodes for
dating, in addition to complementing the estimation using the Langley-Fitch
model (Langley and Fitch, 1974; Sanderson, 2003) to re-estimate the branch
lengths and ages, giving a parametric validation to the age estimations and a
more precise calculation compared to that performed by r8s for the ultrametric
trees (Figure 1), where it doesn’t use an estimation model of divergence ages, it
just scales the actual branch lengths of the given topologies in ages, in
relation with only one the age that is given to calibrate (Sanderson, 2002,
2003).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman", serif;">However, through times, the methods in which fossil
evidence is used for estimates of divergence, and how fossils affect the
estimates, have been controversial, in the estimations made, the node selected
to calibrate the estimates, </span><i style="font-family: "Times New Roman", serif;">Acleistochelys
maliensis</i><span style="font-family: "Times New Roman", serif;">, may have influenced the results (Ho and Phillips, 2009;
Lukoschek </span><i style="font-family: "Times New Roman", serif;">et al</i><span style="font-family: "Times New Roman", serif;">. 2012, Saladin </span><i style="font-family: "Times New Roman", serif;">et al</i><span style="font-family: "Times New Roman", serif;">. 2017). The position of this
fossil node in each topology, and the absence of the information of certain
fossils could have generated changes in the calibrations, since this specific
fossil in reality may not represent a specific node, but rather a point in the
branch, and however, certain fossils that allowed more precise estimates may
have been eliminated, such as </span><i style="font-family: "Times New Roman", serif;">Ummulisani
rutgersensis</i><span style="font-family: "Times New Roman", serif;"> and </span><i style="font-family: "Times New Roman", serif;">Caninemys tridentate</i><span style="font-family: "Times New Roman", serif;">
in the topologies made with strict clock (Figure 1), or being affected by the
precision of the estimation method, when the estimations made with 5 and 3
fossils of the topologies made with relax clock have close time intervals, so
the information of the fossils removed from an estimation to other, </span><i style="font-family: "Times New Roman", serif;">Ummulisani rutgersensis</i><span style="font-family: "Times New Roman", serif;"> and </span><i style="font-family: "Times New Roman", serif;">Caninemys tridentate</i><span style="font-family: "Times New Roman", serif;">, didn’t represent informative
nodes (Figure 2) (Lukoschek et al. 2012, Saladin </span><i style="font-family: "Times New Roman", serif;">et al</i><span style="font-family: "Times New Roman", serif;">. 2017).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">However, time-of-divergence analyzes can present
various errors that can affect estimates, such as poor selection of the
evolutionary model, poor molecular and morphological sampling and, as mentioned
before, errors in the selection of calibration nodes (Ho and Phillips, 2009;
Lukoschek et al. 2012, Tamura et al, 2012).</span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;">It is concluded then, that the divergence time
estimates are sensitive to the number of fossils contained in the topology, and
to the type of clock with which the topology is made, therefore, different
numbers of fossils generate different age intervals, where the topologies with
the highest number of fossils tend to be the most precise in the analysis, and
the topologies that subsequently underwent a time-of-divergence analysis under
the Langley-Fitch model (Langley and Fitch, 1974; Sanderson, 2003) were even
more precise (Figure 1 and 2).<o:p></o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
<p class="MsoNormal" style="text-align: justify;"><span style="font-family: "Times New Roman",serif; mso-ansi-language: EN-US;"><o:p> </o:p></span></p>
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</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Sanderson, M. J. (2002) Estimating absolute rates of molecular evolution
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</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Sanderson, M. J. (2003) r8s: inferring absolute rates of molecular
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</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Sanderson, M.J. (1997) A nonparameteric approach to estimating
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<p class="MsoListParagraphCxSpMiddle" style="margin-left: 18pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><!--[if !supportLists]--><span style="font-family: Symbol; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Sauquet, H. (2013). A practical guide to molecular dating. <i style="mso-bidi-font-style: normal;">Comptes Rendus Palevol</i>, 12(<i style="mso-bidi-font-style: normal;">6</i>): 355-367.<o:p></o:p></span></p>
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</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Schwartz, R. S., and Mueller, R. L. (2010). Branch length estimation and
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</span></span></span><!--[endif]--><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Swofford, D. L. (2003) PAUP*: Phylogenetic Analysis Using Parsimony
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A., and Kumar, S. (2012). Estimating divergence times in large molecular </span><span style="font-family: "Times New Roman", serif; font-size: 10pt; text-indent: -18pt;">phylogenies. </span><i style="font-family: "Times New Roman", serif; font-size: 10pt; text-indent: -18pt;">National Academy of
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<p class="MsoListParagraphCxSpMiddle" style="margin-left: 18pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><!--[if !supportLists]--><span style="font-family: Symbol; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7pt "Times New Roman";"> </span></span></span><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Welch, J. J., and Bromham, L. (2005) Molecular dating when rates vary. <i style="mso-bidi-font-style: normal;">Trends Ecol Evol</i>, 20(<i style="mso-bidi-font-style: normal;">6</i>): 320-7. <o:p></o:p></span></p>
<p class="MsoListParagraphCxSpLast" style="margin-left: 18pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><!--[if !supportLists]--><span style="font-family: Symbol; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Symbol; mso-bidi-font-size: 11.0pt; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7pt "Times New Roman";"> <span> </span></span></span></span><span style="font-family: "Times New Roman",serif; font-size: 10pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt;">Zuckerkandl, E. & Pauling, L. (1965) Evolutionary divergence and
convergence in proteins. Evolving genes and proteins (ed. By V. Bryson and H.
Vogel), pp. 97–166. Academic Press, New York.<o:p></o:p></span></p>Cristina Navashttp://www.blogger.com/profile/03985352034109679005noreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-90273108792166219392019-04-07T01:57:00.000-07:002019-04-07T02:30:30.353-07:00Different branch length for DNA simulate: effects under phylogenetic rebuild<br />
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<span lang="EN-US" style="mso-ansi-language: EN-US;">Obtain phylogenies with good resolution is some of the objectives when we perform a phylogenetic analysis for any use (Wortley, et al., 2005; Swenson, 2009), and in some cases this resolution is affected by type and/or amount of data (Scotland, et al., 2003; Huelsenbeck & Hills, 1993), methods (Huelsenbeck & Hills, 1993) or number of taxa using in the analysis (Hedtke, et al. 2006). However, some DNA data is obtained from simulations, which need reference topologies were taken branch lengths (BL) of trees as the probability of change of a site (pij) (Rambaut & Grassly, 1997). Here I’m going to evaluated cases when one branch of reference tree to simulated DNA data, is longer than the others (autapomorphies) and its effects in rebuild topologies with two phylogenetics methods: Maximum Parsimony (MP) and Maximum Likelihood (ML), expecting that MP could not resolve monophyly in resulting topologies.</span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">For this work, I simulated DNA data with SeqGen (Rambaut & Grassly, 1997) in R v.3.5.2 with 3 different reference trees with equal (br=0.5) and one of six branches different BL (br=1) at a time, under HKY model, for four terminals and 2000 DNA characters. For each tree were simulated three replicas of DNA matrices. I analyzed the matrices in TNT v1.1 (Goloboff et al., 2008), with 100 replicas of SPR search; and PhyML v3.0 (Guindon & Gascuel, 2003), by default. To compare relations between resulting trees I evaluated distances among the ML and MP trees with its BL by Robinson-Foulds (RF) distances (Robinson & Foulds 1981) in R. For more details: <span style="color: black;"><a href="https://github.com/DanielaP10/Final">https://github.com/DanielaP10/Final</a></span></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">In the simulation, some of the most important determinants are branch lengths (Huelsenbeck & Hills, 1993) but commonly effects of LBA in phylogeny are studied (Felsenstein, 1978; Bergsten, 2005) than the effect of the change in only one branch length. In parsimony LBA generate bias in relations between taxa, in this case, parsimony rebuild all topologies without polytomies different to ML which all trees have polytomies (Fig. 1) no matter if BL's are equal or different; surprisingly result, different than the expected assuming that parsimony takes branch length as amount of non-informative characters (Felsenstein, 1978). These results may due to parsimony being a simplistic method fit in the selection of the simplest hypothesis, allowing in this case, a better resolution in rebuilding phylogeny, contrary to ML which take BL as a parameter (Goloboff, 2003). However, distances between trees show that taxa relations in ML trees are very different than the other trees (Fig. 2, A), having the highest distances, mainly trees with a BL of one, concordant with the previous result. Anyway, among methods distance present a lot of variation (Fig. 2, B) maybe because of comparison were between trees of a different matrix of data.</span><br />
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<span lang="EN-US" style="mso-ansi-language: EN-US;"> Parsimony as a simplest phylogenetic method in some cases can rebuild phylogenies with good resolution when DNA data is simulated in base of topologies with equal or different branch length, adverse to the expected result. However, this may suggest that Parsimony, different from Maximum Likelihood can resolve in a better way phylogenies when the matrix data presents autapomorphies. </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkJ1sk6vldJ851fpsR27GToYce3ZQ0be5UfxzZrqiAAa1I8PmAMOJ25cVQQSw1uL_-rulVoz9cmW815SU7cY6AFmmrhs8V79yWUHtPUan8h1kK5-QCbXOdXng6a1XJtCiZb5CLTBjTj98/s1600/treeeees.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="554" data-original-width="590" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjkJ1sk6vldJ851fpsR27GToYce3ZQ0be5UfxzZrqiAAa1I8PmAMOJ25cVQQSw1uL_-rulVoz9cmW815SU7cY6AFmmrhs8V79yWUHtPUan8h1kK5-QCbXOdXng6a1XJtCiZb5CLTBjTj98/s1600/treeeees.png" /></a></div>
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<span lang="EN-US" style="font-family: "calibri" , sans-serif; font-size: 11.0pt; line-height: 107%;">Figure 1. One of the resulting topologies of ML (A) and MP (B), showing polytomies in ML tree and monophyly in MP tree.</span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">Figure 2. A) R-F distances comparison between ML and MP methods and its BL. BL of 0.5 and 1 are represented by 1 and 2, respectively; B) Boxplot of RF distances among methods, evidence little differences in distances of ML and MP.</span></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="mso-ansi-language: EN-US;">References</span></b></div>
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Bergsten, J. (2005). A review of long-branch attraction. <i>Cladistics</i>, 21: 163-193.</span></span></span> </span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Brower, A. (2017). Statistical consistency and phylogenetic inference: a brief review.<i> Cladistics</i>, 0: 1-6.</span></span></span></span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Felsenstein, J. (1978). Cases in which Parsimony or Compatibility Methods Will be Positively Misleading. <i>Systematic Zoology</i>, 27(4): 401-410.</span></span></span> </span></span></span></span></span></span></span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US" style="line-height: 107%;">Felsenstein, J. (1988). Phylogenies from Molecular Sequences: Inference and Reliability. <i>Annual Review of Genetics</i>, 22: 521-65.</span></span></span> </span></span></span> </span></span></span></span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Goloboff, P. (2003). Parsimony, likelihood, and simplicity. <i>Cladistics</i>, 19: 91-103.</span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Goloboff, P. A., Farris, J. S., & Nixon, K. C. (2008). TNT, a free program for phylogenetic analysis. <i>Cladistics</i>, 24(5): 774-786.</span></span></span></span></span></span><br />
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US"><span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Guindon, S., Gascuel, O. (2003). A Simple, Fast, and Accurate Algorithm to Estimate Large Phylogenies by Maximum Likelihood. <i>Systematic Biology</i>, 52(5): 696-704.</span></span></span> </span></span></span> </span></span></span></div>
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Hedtke, S., Townsend, T., Hills, D. (2006). Resolution of Phylogenetic Conflict in Large Data Sets by Increased Taxon Sampling. <i>Systematic Biologists</i>, 55(3)522-52</span>9.</span></span></div>
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"><span lang="EN-US">Huelsenbeck, J., Hills, D. (1993). Success of Phylogenetic Methods in the Four-taxon Case. <i>Systematic Biologists</i>, 42(3):247-26.</span></span></span></div>
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Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
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<span style="font-family: "times" , "times new roman" , serif;"><span style="font-size: x-small;"> </span></span>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-51302006892220213222019-04-07T01:40:00.000-07:002019-06-15T21:36:25.746-07:00Do sequences based on DNA and protein alignments phylogenies agree?<!--[if gte mso 9]><xml>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number 5"/>
<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Closing"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
UnhideWhenUsed="true" Name="Default Paragraph Font"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Continue 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Salutation"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Date"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
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<b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="background: white; mso-ansi-language: EN-US;">Introduction<o:p></o:p></span></b></div>
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<br /></div>
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<span lang="EN-US" style="background: white; mso-ansi-language: EN-US;">Phylogenies inferred from
independent data partitions tend to differ from each other in topology, despite
being extracted from the same set of taxa<sup>1</sup>.
</span><span lang="EN-US" style="mso-ansi-language: EN-US; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">The determination of phylogenetic trees based on DNA and protein
sequences has been hampered by the sensitivity of tree reconstruction
algorithms to unequal rate effects<sup>2</sup>. Therefore, the evolution rates
found in different sites within a sequence, the variation from site to site and
alignment biases parameters<sup>2-3</sup> affect the comparisons. Taxonomic
congruence is the degree of recovering a proposed or defined group</span><sup><span lang="EN-US" style="background: white; mso-ansi-language: EN-US;">4</span></sup><span lang="EN-US" style="background: white; mso-ansi-language: EN-US;">, and its incongruence
can be given by biological or methodological sources. The biological causes are
based on the degree of causal interdependence between the two sets of
characters used<sup>5</sup>, while the methodological are due to sampling error
or the use of inappropriate phylogenetic models<sup>6</sup>. </span><span lang="EN-US" style="mso-ansi-language: EN-US; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><o:p></o:p></span></div>
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<br /></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;">In this study, my purpose is to determine if sequences based on DNA and protein alignments
are congruent in phylogenies evaluating as hypothesis that the reconstructed
phylogenetic trees do not agree with each other.<o:p></o:p></span></div>
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<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="background: white; mso-ansi-language: EN-US;">Methods<o:p></o:p></span></b></div>
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<br /></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="background-color: white; font-family: "arial" , sans-serif; font-size: x-small;">♥ </span>Simulation process<o:p></o:p></span></div>
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<span lang="EN-US">First, I simulated the reference
topologies for different sample sizes (4 and 16 terminals) with all branch
lengths equal to 0.5 and 3 replicas through the ape<sup>7</sup> package using
R v3.5.4<sup>8</sup>. In Seq-Gen v1.3.4<sup>9</sup> I performed the sequence
simulation using 102, 1002 and 10002 characters with HKY for DNA
and WAG for evolutionary amino acid models.<o:p></o:p></span></div>
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<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="mso-ansi-language: EN-US; mso-bidi-font-weight: bold;"><span style="background-color: white; font-family: "arial" , sans-serif; font-size: x-small;">♥ </span>Estimation of phylogenetic
trees<o:p></o:p></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">I estimated maximum parsimony trees with 100
replicas and TBR branch swapping using TNT v1.5<sup>10</sup>. For </span>maximum likelihood in<span style="background: white;">
RAxML-NG</span><sup>11</sup> I used two
parsimony-based randomized stepwise and two random stars from a topology, the
best-scoring topology was selected as the best tree. The reference models were
GTR for nucleotides and LG for amino acids for the optimized model parameters.</div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="background-color: white; font-family: "arial" , sans-serif; font-size: x-small;">♥ </span>Tree Comparisons<o:p></o:p></span></div>
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<span lang="EN-US">I compared trees through Robinson-Foulds<sup>12 </sup>and Kuhner-Felsenestein<sup>13 </sup>distances. To </span><span lang="EN-US" style="mso-ansi-language: EN-US;">ensure
that the resulting trees were not the product of a deviation in the variation
of the initial topology, I compared the reference trees with the estimated
trees of each replica and then the trees reconstructed by DNA vs proteins. Finally,
I plotted random trees with FigTree.v1.4.4<sup>14</sup> to represent the
observed behaviors of the data.<o:p></o:p></span></div>
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<b><span lang="EN-US" style="mso-ansi-language: EN-US;">Results <span style="mso-spacerun: yes;"> and discussion</span></span><o:p></o:p></b><br />
<br /></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">The initial
trees and their replicas did not vary. For maximum parsimony, all the trees
estimated under the different </span><span style="text-align: justify;">sequence simulation</span> models and characters size showed the same topology,
so I chose to graph replica 2 under a character matrix by HKY as an example
(Fig. 1).</div>
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
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<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
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<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
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<w:LsdException Locked="false" Priority="51"
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
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<span style="font-family: "times" , "times new roman" , serif; font-size: small;"><span lang="EN-US" style="mso-ansi-language: EN-US;">In </span></span><span lang="EN-US" style="text-align: justify;"> </span><span style="text-align: justify;">maximum likelihood the f</span><span lang="EN-US" style="font-family: times, "times new roman", serif;">igure 2
shows that the distances between the branch length values improve with
increasing number of characters, for both 4 and 16 terminals. </span><span style="font-family: times, "times new roman", serif;">The KF of
the reference topologies vs the topologies recovered shows higher indices for
16 terminals, but for both cases as the number of characters increases, the
values tend to converge.</span></div>
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<span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US; mso-bidi-font-weight: bold;"><span style="font-size: xx-small;">Figure 2. </span></span><span lang="EN-US" style="background: white; color: #222222;">KF
distance between DNA vs protein (pink), DNA vs reference topology (green) and protein vs reference topology (brown) comparisons. </span></span><br />
<span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="background: white; color: #222222;"><br /></span></span>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">Proteins
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very well conserved, while other regions evolve faster both in terms of
nucleotide substitutions and insertions or deletions<sup>15</sup>. Sequence protein
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<span lang="EN-US" style="background: white; color: black; font-size: 11.5pt;">Substitution
models of amino acid evolution intend to mimic the evolution of protein data
and even if specific matrices should be implemented for certain analyses, general
matrices as WAG tend to perform well in many cases, as shown by Keane <i style="mso-bidi-font-style: normal;">et al. </i>(2006)<sup>18</sup>. I
used WAG model but my simulated sequence did not take into account insertion and
deletion events, c</span><span lang="EN-US" style="color: black; mso-ansi-language: EN-US; mso-themecolor: text1;">leaned alignments produce better topologies
although with lower bootstrap values indicating that divergent and problematic
alignment regions may lead to an apparently better supported but more biased
topologies<sup>17</sup>. This could explain why increasing the number of
characters improves behavior but variation of KF for DNA and proteins grows (Figure 3).<o:p></o:p></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;"><span lang="EN-US" style="font-family: "times" , "times new roman" , serif; font-size: x-small; text-align: start;"><span style="font-size: xx-small;">Figure 3. </span></span><span lang="EN-US" style="background: white; color: #222222; font-family: "times" , "times new roman" , serif; font-size: x-small;">KF distance variation between DNA vs protein, DNA vs reference topology and protein vs reference topology comparisons. The pink points represent de mean and the brown points represent the outliers of the KF distance. A clearer variation is observed in DNA vs protein values. </span></span><br />
<span lang="EN-US" style="mso-ansi-language: EN-US;"><span lang="EN-US" style="background: white; color: #222222; font-family: "times" , "times new roman" , serif; font-size: x-small;"><br /></span></span>
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<span style="font-family: "times" , "times new roman" , serif; font-size: small;"><span lang="EN-US" style="background: white;">Alignment quality have as much impact
on phylogenetic reconstruction as the phylogenetic methods used<sup>17</sup>. </span><span lang="EN-US" style="mso-ansi-language: EN-US;">It has been well established that
the performance of model-based methods, such as maximum likelihood depends
on the ability of the chosen model to capture the evolutionary process correctly<sup>18</sup>. On the other hand, if complex models are used, the
additional parameters will capture stochastic signal and the decreased
amount of information available for each calculation will lead to increased
variation in parameter estimates<sup>19</sup>
and that could happen when using RaxML-NG under parameterized models even if they are the best. <o:p></o:p></span></span></div>
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Name="footnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="header"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="footer"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="index heading"/>
<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of figures"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="envelope address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="envelope return"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="footnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="line number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="page number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote reference"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="endnote text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="table of authorities"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="macro"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="toa heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Number"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="List Bullet 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Signature"/>
<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Message Header"/>
<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text First Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
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<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
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<span lang="EN-US" style="mso-ansi-language: EN-US; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin;"><span style="font-family: "times" , "times new roman" , serif; font-size: small;">The phylogenies
reconstructed from DNA and protein sequence alignments are congruent in their
topology but not in their branch length, probably due to differences in
evolution rates. The null hypothesis is accepted, the phylogenies do not agree
at all.</span><o:p></o:p></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;"><o:p> <span style="font-family: "times" , "times new roman" , serif; font-size: small;"><b>References</b></span></o:p></span></div>
<div class="MsoNormal">
<br /></div>
<div class="MsoListParagraphCxSpFirst" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">1.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Rodrigo, A.G., Kelly-Borges, M.,
Bergquist, P.R. and Bergquist, P.L.A randomization test of the null hypothesis
that two cladograms are sample estimates of a parametric phylogenetic tree.
N.Z. J. Bot. 31, 257–268 (1993).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">2.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Lake, J.A. Reconstructing
evolutionary trees from DNA and protein sequences: Paralinear distances. Proc.
Natl. Acade. Sci. 29, 1455-1459 (1994).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">3.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Mindel, D. P. Phylogenetic Analysis
of DNA Sequences. Oxford Univ. Press, London 119-136 (1991).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">4.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Mickevich, M. F. Taxonomic
congruence. Syst. Zool. 27, 143-158 (1978).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">5.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Crisci, J. V. Taxonomic congruence.
Taxon 33:2, 233 (1984).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">6.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Hipp, A.L., Hall, J.C. and Sytsma, K.J.
Congruence Versus Phylogenetic Accuracy: Revisiting the Incongruence Length
Difference Test. Sys. Bio., 53:1, 81–89 (2004).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="background: white; margin-bottom: 3.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="color: #222222; mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">7.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></span><!--[endif]--><span lang="EN-US" style="color: #222222; mso-ansi-language: EN-US;">Paradis, E. Analysis of Phylogenetics and Evolution
with R (Second Edition). New York: Springer (2012).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span style="color: #222222;"><span style="mso-list: Ignore;">8.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></span><!--[endif]--><span lang="EN-US" style="color: #222222; mso-ansi-language: EN-US;">R Core Team. R: A language and environment for
statistical computing. </span><span style="color: #222222;">R Foundation for
Statistical Computing, Vienna, Austria (2012).</span> <span style="color: #222222;"><o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="color: #222222; mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">9.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="color: #222222; mso-ansi-language: EN-US;">Rambaut, A. and
Grassly, N.C. "Seq-Gen: An Application for the Monte Carlo Simulation of
DNA Sequence Evolution along Phylogenetic Trees", Computer Applications In
The Biosciences, 13:3, 235-238 (1997).</span><span lang="EN-US" style="mso-ansi-language: EN-US;"> <span style="color: #222222;"><o:p></o:p></span></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">10.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="background: white; color: #1c1d1e;">Goloboff,
P.A. and Catalano, S.A. TNT version 1.5, including a full implementation of
phylogenetic morphometrics. Cladistics 32, 221-238 (2016).</span><span lang="EN-US" style="mso-ansi-language: EN-US;"><o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">11.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="background: white; color: #24292e;">Kozlov,
A.M., Darriba, D., Flouri, T., Morel, B. and Stamatakis A. <strong><span style="font-weight: normal; mso-bidi-font-weight: bold;">RAxML-NG: A fast,
scalable, and user-friendly tool for maximum likelihood phylogenetic inference.</span></strong><b style="mso-bidi-font-weight: normal;"><span style="-webkit-text-stroke-width: 0px; float: none; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;"> </span></b><em style="-webkit-text-stroke-width: 0px; box-sizing: border-box; font-variant-caps: normal; font-variant-ligatures: normal; orphans: 2; text-align: start; text-decoration-color: initial; text-decoration-style: initial; widows: 2; word-spacing: 0px;">bioRxiv </em>(2018).</span><span lang="EN-US" style="mso-ansi-language: EN-US;"><o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">12.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Robinson, D.F. and Foulds L.R.
Comparison of phylogenetic trees. Mathematical Biosciences 53:1–2 131-147 (1981).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">13.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Kuhner, M.K. and Felsenstein, J. A
simulation comparison of phylogeny algorithms under equal and unequal
evolutionary rates. Mol. Biol. Evol. 11:3 459–468 (1994)<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">14.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="background: white; color: black;">Rambaut,
A. FigTree v1.3.1. (2010).</span><span lang="EN-US" style="mso-ansi-language: EN-US;"><o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">15.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Pesole, G., Sbisa, E. and Saccone,
C. The evolution of the mitochondrial D-loop region and the origin of modern
man. Mol. Biol. Evol. 9, 587-598 (1992)<o:p></o:p></span></span></div>
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<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">16.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Thorne, J. L. Models of protein
sequence evolution and their applications. Current Opinion in Genetics &
Development. 10, 602–605 (2000).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">17.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Talavera, G. and Castresana, J.
Improvement of Phylogenies after Removing Divergent and Ambiguously Aligned
Blocks from Protein Sequence Alignments. Systematic Biology, 56:4 564–577 (2007).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">18.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Keane T.M, Creevey C.J, Pentony M.M,
Naughton T.J, McInerney J.O. Assessment of methods for amino acid matrix
selection and their use on empirical data shows that ad hoc assumptions for
choice of matrix are not justified. Evol. Biol.6:29 (2006).<o:p></o:p></span></span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">19.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--><span lang="EN-US" style="mso-ansi-language: EN-US;">Sullivan, J. and Swofford, D. Should We Use Model-Based Methods for Phylogenetic Inference When We
Know That Assumptions About Among-Site Rate Variation and Nucleotide
Substitution Pattern Are Violated?. Systematic Biology, 50(5), pp.723-729 <o:p></o:p></span></span><span style="font-family: "times" , "times new roman" , serif; font-size: x-small; text-indent: -18pt;">(2001).</span></div>
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<!--[if !supportLists]--><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;"><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="mso-list: Ignore;">20.<span style="font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><!--[endif]--></span><span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="font-family: "times" , "times new roman" , serif; font-size: x-small;">Lemmon, A. and Moriarty, E.
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</style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-20199385733563992592019-04-06T23:36:00.002-07:002019-04-08T00:23:33.136-07:00Dirichlet vs. Fixed frequencies: Sensitivity of Bayesian Inference to bases frequencies prior<style type="text/css">
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><b>Introduction</b></span></span></span></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">The
phylogenetic reconstruction through Bayesian Inference (BI)
represents a significant advance whit advantages like the possibility
of incorporate <i>prior</i> information, easy
interpretation of the results, computational efficiency and involve
evolution complex models (Huelsenbeck <i>et al</i>., 2001;
Ronquist & Huelsenbeck, 2003). Also, due to it uses the
likelihood function, it shares its efficiency and consistency whit
Maximum Likelihood (Huelsenbeck <i>et al</i>., 2002). </span></span></span></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><br />
Nevertheless,
BI has its critical site, since it is limited due its inferences
always remain within the support of its <i>priors.</i> Therefore,
what we would call “the truth” it must be partially believed
before it can be made known, thus,
the appropriate <i>prior</i> specifications becomes
crucial in this type of analysis (Gelman & Shalizi,
2012; Schoot <i>et al</i>., 2014).</span></span></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><br />
For
this reason, I am going to estimate the sensitivity of
BI, in terms of accuracy and precision, to changes in the
criterion of the bases frequencies <i>prior. </i>The
hypotheses that I am going to test are: (1)Using
fixed frequencies like prior, BI is more precise than when
we use Dirichlet like bases frequencies <i>prior, </i>and (2)
BI estimations using fixed frequencies are more accuracy
than estimations using Dirichlet like <i>prior.</i></span></span></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; letter-spacing: normal; line-height: 150%; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><b>Methodology</b></span></span></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="background: #ffffff; font-family: "arial" , "helvetica" , sans-serif;">Using
RStudio I simulated 3 topologies of 12 and 48 terminals, for a total
of 6 different topologies, which I used to simulate in Seq-Gen 108
matrices with the HKY and JC models, and 3 character sequence lengths
(100-500-2500 ). For each particular matrix I made three replicas.
Then, I analysed all matrices with BI using MrBayes, once for fixed
frequencies and once with a flat dirichlet of 1,1,1,1. Due to my
interest was focused on the topology and not on the branch length, I
calculated the Robinson-Foulds distance to indirectly estimate
precision and accuracy in the recovery of trees, under the two cases
that I analyzed.</span></span></span></span></div>
<div align="justify" style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;"><br />
Scripts
with detailed methodology, parameters that I used and software
specifications, can be found in the following
link:</span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"> <a href="https://github.com/IndiraMG/Trabajo_final_BioComparada-I">https://github.com/IndiraMG/Trabajo_final_BioComparada-I</a></span></span></span></span></span></span></span></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; letter-spacing: normal; line-height: 150%; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><b>Results
and Discussion</b></span></span></span></div>
<div style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><span style="background: #ffffff;">Figure
1 and 2, show us very similar trends in the mean and standard
deviation of RF in all the scenarios we observed. This probably
happens due to the use of a flat Dirichlet value = (1,1,1,1), which
is appropriate if we want to estimate these parameters from the data,
assuming that we do not have prior knowledge about their values
(</span>Ronquist <i>et al</i>., 2011 ). <span style="background: #ffffff;">Therefore,
it is logical to think that the program estimated the value of the
</span><i><span style="background: #ffffff;">prior</span></i><span style="background: #ffffff;">
and this was very close to the values that had been set in in
fixed frequencies.</span></span></span></span></div>
<div style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span></div>
<div style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><span style="background: #ffffff;">On
the other hand, the effect of the size of the matrix influenced the
precision in which both estimates generated the topologies but when
model used was HKY, precision increased from 500 characters. contrary
to JC model which was more variable, therefore less precise. It
probably happens because JC is the most simple model (Matthew </span><i><span style="background: #ffffff;">et
al.,</span></i><span style="background: #ffffff;"> 2005) and
that what could reduce the probability of a minor adjustment to
the data, decreasing its precision. About the increasing in precision
when character also increase, is important highlight that the changes
in the number of taxa did not have any impact, but to be able to
conclude something more general, more differences in this aspect are
needed to be able to contrast them. </span></span></span></span>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2rOpXauaWeDhblQremmV4cdp3xz1BTgTjStX92bv7KNxkCYV-YUgwY6MeyS45ByAu1k1Iyjrwamme_YZe3FSCD8UZnsFiYYuF440y9zKuL3G1Pf3O4E5S5Gaegz50GU-m65pv1y97tXap/s1600/DirRplot.tiff" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="667" data-original-width="1600" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh2rOpXauaWeDhblQremmV4cdp3xz1BTgTjStX92bv7KNxkCYV-YUgwY6MeyS45ByAu1k1Iyjrwamme_YZe3FSCD8UZnsFiYYuF440y9zKuL3G1Pf3O4E5S5Gaegz50GU-m65pv1y97tXap/s640/DirRplot.tiff" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="background-color: white; font-size: 12.8px; text-align: left; white-space: pre-wrap;"><span style="font-size: x-small;"><b>Fig.1.</b> Statistical descriptions of RF behavior in the different types of inferred topologies using Dirichlet as a probability distribution in the base frequency <i>prior</i>. (A) Mean of RF in topologies only constructed with JC model. (B) Standard deviation </span></span><span style="font-size: 12.8px;">of RF in topologies only constructed with JC model. (C) Mean of RF in topologies only constructed with HKY model. (D) </span><span style="font-size: x-small;"> Standard deviation </span><span style="font-size: 12.8px;">of RF in topologies only constructed with JC model.</span></span></td></tr>
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<b><br /></b></div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEialZ1w3LlopICZTWvH_sBTC_pBGqpx8A5JOrDCbWin_daYRv5ozbo1BmUbDz0ym4zU9nktOyIvx2qFNjhR-TOmoqYV5a97-Qf7JXFVQopjsvOLN8QMXiRe_pkDma69Cq8HeqcHTNfIAVv4/s1600/fixedRplot.tiff" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="667" data-original-width="1600" height="266" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEialZ1w3LlopICZTWvH_sBTC_pBGqpx8A5JOrDCbWin_daYRv5ozbo1BmUbDz0ym4zU9nktOyIvx2qFNjhR-TOmoqYV5a97-Qf7JXFVQopjsvOLN8QMXiRe_pkDma69Cq8HeqcHTNfIAVv4/s640/fixedRplot.tiff" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: x-small;"><b>Fig.2</b>. Statistical descriptions of RF behavior in the different types of inferred topologies using Fixed frequencies as a criterion in the base frequency prior. (A) Mean of RF in topologies only constructed with JC model. (B) Standard deviation of RF in topologies only constructed with JC model. (C) Mean of RF in topologies only constructed with HKY model. (D) Standard deviation of RF in topologies only constructed with JC model.</span></td></tr>
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<div style="text-align: justify;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small; text-align: left;"><span style="background: rgb(255, 255, 255);">T</span></span><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small; text-align: left;"><span style="background: #ffffff;">he
Oxford dictionary defines accuracy like "the degree to which the
result of a measurement, calculation, or specification conforms to
the correct value or a standard.", </span></span><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small; text-align: left;">and
the problem with the determination of the accuracy of an estimator,
is the ignorance of the reference value with which a result should be
compared (Schoot </span><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small; text-align: left;"><i>et
al</i></span><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small; text-align: left;">., 2014). In this
case, it is not possible to determine the accuracy of BI because, due
to a small number of replicas, there is no way to guarantee that
topologies estimated in either case (Dirichlet or fixed frequencies),
will be influenced by the generation of matrices in seq-gen. For this
reason, I can not test my second hypothesis without committing a
large bias when comparing topologies recovered against initial
topologies.</span></div>
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<div style="text-align: justify;">
<br /></div>
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<div style="text-align: justify;">
<b><span style="font-family: "arial" , "helvetica" , sans-serif;">Conclusion</span></b></div>
</div>
<div>
<div style="text-align: justify;">
<span style="font-family: "arial" , "helvetica" , sans-serif;">With this work I did not generate a response to which prior is more accurate or precise since with
the data that was available there was no difference between the stimates using Dirichlet or
fixed frequencies. But it is clear that both are consistent because their precision increases when we work with large data sets.</span></div>
<pre class="western" style="font-variant-east-asian: normal; font-variant-numeric: normal;"><b style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt; font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; letter-spacing: normal; text-align: left;">
</b></pre>
<pre class="western" style="font-variant-east-asian: normal; font-variant-numeric: normal;"><b style="font-family: Arial, Helvetica, sans-serif; font-size: 12pt; font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; letter-spacing: normal; text-align: left;">References</b></pre>
</div>
</div>
</div>
<div lang="en-US" style="line-height: 150%; margin-bottom: 0in; text-align: left;">
<div style="text-align: justify;">
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">-Gelman,
A., & Shalizi, C.R. (2012). Philosophy and the practice of
Bayesian statistics. <i>British Journal of Mathematical and
Statistical Psychology,</i> 66(1), 8-38.</span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><br /></span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">-Huelsenbeck,
J. P., Larget, B., Miller, R. E., & Ronquist, F. (2002).
Potential applications and pitfalls of Bayesian inference of
phylogeny. <i>Systematic biology</i>, 51(5), 673-688.</span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><br /></span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">-Huelsenbeck,
J.P., Ronquist, F., Nielsen, R. and Bollback, J.P. (2001). Bayesian
inference of phylogeny and its impact on evolutionary
biology, <i>Science</i>, 294, 2310–2314.</span></span></div>
<div align="left" style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;"><br /></span></span></span></span></span></span></span></span></div>
<div align="left" style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;">-Matthew,
S., Edward, S., Andrew, J. R., (2005) Likelihood, Parsimony, and
Heterogeneous Evolution, </span></span></span></span></span></span></span><span style="border: none; display: inline-block; padding: 0in;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;"><em>Molecular
Biology and Evolution</em></span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;">,
22(5),1161–1164.</span></span></span></span></span></span></span></span></div>
<div align="left" style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: #ffffff;"><br /></span></span></span></span></span></span></span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">-Schoot,
R., Kaplan, D., Denissen, J., Asendorpf, J. B., Neyer, F. J. and
Aken, M. A. (2014). A Gentle Introduction to Bayesian Analysis:
Applications to Developmental Research. <i>Child Dev</i>, 85,
842-860.</span></span></div>
<div align="left" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><br /></span></span></div>
<div style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">-<span style="background: #ffffff;">Ronquist,
F., Huelsenbeck, J., & Teslenko, M. (2011). Draft MrBayes version
3.2 manual: tutorials and model summaries. </span><i><span style="background: #ffffff;">Distributed
with the software from http://brahms. biology. rochester.
edu/software. html</span></i><span style="background: #ffffff;">.</span></span></span></div>
<div style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><span style="background: #ffffff;"><br /></span></span></span></div>
<div style="margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">-
The Oxford Dictionary. Taken from: <a href="https://en.oxforddictionaries.com/definition/accuracy">https://en.oxforddictionaries.com</a></span></span></span></span></span></span></div>
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</style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-77252295488767559212019-04-06T20:08:00.003-07:002019-04-10T20:05:32.112-07:00Geometrical Morphometric Weighted<style type="text/css"> @page { margin: 0.79in } p { margin-bottom: 0.1in; direction: ltr; color: #000000; line-height: 115%; text-align: left; orphans: 2; widows: 2 } p.western { font-family: "Liberation Serif", serif; font-size: 12pt; so-language: en-US } p.cjk { font-family: "Noto Sans CJK SC Regular"; font-size: 12pt; so-language: zh-CN } p.ctl { font-family: "Lohit Devanagari"; font-size: 12pt; so-language: hi-IN } </style>
<br />
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Introduction:</b></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">Geometric morphometry (GM) is a tool that allows us to quantify the shape of biological structures (Adams <i>et al.</i>, 2004), this tool is an alternative to morphological characters and classical morphometric. Geometric morphometry is used to evaluate the variation of forms of some structure in some organism or taxa, this information could be used to evaluate the ancestral relationships between taxa, now the program used for this kind of analysis is TNT (Catalano <i>et al.</i>, 2010; Goloboff <i>et al.</i>, 2011) under a parsimony approach. This kind of analysis is not to much used, and the method may have some parameters unexplored as weight character.</span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">The objective of my work is to evaluate how weight could affect the topology when is based on mixed data included one partition of GM.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Method:</b></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">To fulfill my goal, I had to search for articles who used at less one configuration of GM with other data set as morphology or molecular. Next, I ran Parsimony in TNT applied different schemes of weight. First, linear parsimony for each partition (GM and molecular or morphology) and total evidence. For weight schemes, I used two, implied weights under four values of k (5, 10, 15 and 20). And priori weights given different values to GM partition, these weights were proportional to the length of the other partition, proportions were ¼, ½, ¾ and equal weights. The topologies result were compared with RF distance.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">The scripts and more details of the methodology can look at https://github.com/andres1898/Geometric-Morphometry-Weight.git</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><br /></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><b>Result and discussion:</b></span></div>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">I found tree data sets with 4 articles who included GM data in their analysis, DS1 is a paper of Watanabe and Slice (2014), this work is about Crocodilia order and uses morphological and GM of their skulls, also have a molecular data but I did not use it. DS2 is a Rosacea family analysis, and there are two paper, Töper <i>et al.</i> (2011) for molecular data, and Klingenberg <i>et al.</i> (2011) for GM data. And DS3 is a work of Ospina and De Luna with a molecular and GM of the skull of Myotis genus. The tree data set are different in matrix size, but all of them have just one configuration for GM partition and the configurations differ in the number of Landmarks (Tabla 1).</span></div>
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<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">Table 1. resume of some parameters for each data set. DS1=Cocrodilus data (Watanabe and Slice, 2014), DS2=Rosaceae (Klingenberg <i>et al. </i>(2012) and Töper <i>et al.</i> (2011)) and DS3=Myotis (Ospina and De Luna, 2017).</span></td></tr>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><span style="font-size: 12pt;">The RF distance is not influenced by the application of </span>piwe<span style="font-size: 12pt;"> with different k values (Figure 1). For any data set the RF distance is constant, that could be for the logic of apply weight during trees search, this method assigns a weight to a character according to their homoplasy, this weight against homoplasy improve the fit of character (Goloboff, 1993). Nevertheless, in the paper of Goloboff et al (2008), they discussed that weight improve the topology and get close to the reference topology, these are no my case, all data set had no improve or change the topology when applied weight. The topology did not change because the molecular or morphological data is structured the answer, because this partition is longer than GM partition. When using implicit weights </span>the fit of the characters to the tree is improved,<span style="font-size: 12pt;"> decreasing the impact or influence of homoplasic characters but not giving greater weight to certain characters.</span></span></div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVRn7uL0rStg-eEPYQ7qw6So735rA52AClmdqCz9bNpzNvFTQw34X5joJNCdEIMvXhjCxFkig5Ml80cGuELPIHBNERh943Ki205szaA7kbAnCsZhdan9Qcxg5xlMQHi4Arv_5Xfvm3CqVf/s1600/piwe.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><img border="0" height="190" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVRn7uL0rStg-eEPYQ7qw6So735rA52AClmdqCz9bNpzNvFTQw34X5joJNCdEIMvXhjCxFkig5Ml80cGuELPIHBNERh943Ki205szaA7kbAnCsZhdan9Qcxg5xlMQHi4Arv_5Xfvm3CqVf/s640/piwe.png" width="640" /></span></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;"><span style="text-align: justify;">Figure 1. RF distance between GM topology against each K value topology, A=DS1, B=DS2 </span>and<span style="text-align: justify;"> C=DS3.</span></span></td></tr>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: 12pt;">Priori weights of GM partition had an influence in topologies but are different per data set (Figure 2). DS1 changes drastically when a priori weight is greater than half total length, but before that, there is no topology change. DS2 showed an interesting behavior, when applied the half the topology changed and changed again when the partitions had the same weight. DS3 behavior similar to DS1 but with the half weight there is a small change in topology, and when applied more than half of weight the topology change completely. Goloboff (1993) discuss the types of weight character, and the prior weight per partition is one of them. The taxonomists are who defend this kind of weight, they use the idea that some structures are more informative than others.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">The results suggest GM and other types of data, give different reconstructions. When we used mixed data, the principal problem is the difference between the selection pressure and ontogeny process in morphological and molecular characters (Hillis, 1987). For analysis with partitions with different size, each partition could be said difference relationships and for reconcile the partition, could use weight, increasing the weight to the characters that best fit to a reference topology (Eernisse and Kluge, 1993), but that is a problem when the partitions have a lot of difference in size.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">This problem extends to GM data, in my case, the GM is just considered as one character and each partition of molecular or morphological data have more than a hundred characters, so the molecular or morphological partitions have more influenced to the topology (Catalano <i>et al.</i>, 2010). Other problems are the variation in GM evaluation, the shape of structures are very variable and can be influenced by environment variables, this makes us doubt in the use of this type of data in the phylogeny (Rohlf, 2002). For reduce the influence of homoplasy and have a better approach is recommended use more than one structure in the same analysis (Catalano and Torres, 2017).</span></div>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRVEh4nTCCA4hdY-Gq0oKqqBM-E-Qd6-byshrlFKQhtfM6qcH5awfxiMwC9Y9m6VUvzinol3IMxivhkQ-ZRd4FZU2qz18WdF3qtVBkNxdOqgzW81793TCC9qfladl65_R9QZbfrKEmUhiu/s1600/priori_final.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><img border="0" height="194" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRVEh4nTCCA4hdY-Gq0oKqqBM-E-Qd6-byshrlFKQhtfM6qcH5awfxiMwC9Y9m6VUvzinol3IMxivhkQ-ZRd4FZU2qz18WdF3qtVBkNxdOqgzW81793TCC9qfladl65_R9QZbfrKEmUhiu/s640/priori_final.png" width="640" /></span></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">Figure 2. RF distance against the priori<span style="text-align: justify;"> weight of Geometrical Morphometric (GM) partition. The weight is proportional to the total length of the matrix data.</span></span></td></tr>
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<b style="font-size: 12pt;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">Conclusion:</span></b></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;">The implied weight does not change the topologies but priori weight does it. This topological change is explained by the partitions give different relationships and give more weight to one or other influence the topology.</span></div>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><b>Reference:</b></span></span></div>
<ul>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Adams, D. C., Rohlf, F. J., & Slice, D. E. (2004). Geometric morphometrics: ten years of progress following the ‘revolution’. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Italian Journal of Zoology</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>71</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 5-16.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Catalano, S. A., & Torres, A. (2017). Phylogenetic inference based on landmark data in 41 empirical data sets. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Zoologica Scripta</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>46</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 1-11.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Catalano, S. A., Goloboff, P. A., & Giannini, N. P. (2010). Phylogenetic morphometrics (I): the use of landmark data in a phylogenetic framework. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Cladistics</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>26</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(5), 539-549.</span></span></span></div>
</li>
<li>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Eernisse, D. J., & Kluge, A. G. (1993). Taxonomic congruence versus total evidence, and amniote phylogeny inferred from fossils, molecules, and morphology. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Molecular biology and evolution</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>10</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(6), 1170-1195.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Goloboff, P. A. (1993). Estimating character weights during tree search. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Cladistics</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>9</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 83-91.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Goloboff, P. A., & Catalano, S. A. (2011). Phylogenetic morphometrics (II): algorithms for landmark optimization. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Cladistics</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>27</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 42-51.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Goloboff, P. A., Carpenter, J. M., Arias, J. S., & Esquivel, D. R. M. (2008). Weighting against homoplasy improves phylogenetic analysis of morphological data sets. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Cladistics</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>24</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(5), 758-773.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Hillis, D. M. (1987). Molecular versus morphological approaches to systematics. </span><i>Annual review of Ecology and Systematics</i><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><i>18</i><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 23-42.</span></span></span></div>
</li>
<li>
<div class="western" style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Klingenberg, C. P., Duttke, S., Whelan, S., & Kim, M. (2012). Developmental plasticity, morphological variation and evolvability: a multilevel analysis of morphometric integration in the shape of compound leaves. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Journal of evolutionary biology</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>25</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1), 115-129.</span></span></span></div>
</li>
<li>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Ospina-Garcés, S. M., & De Luna, E. (2017). Phylogenetic analysis of landmark data and the morphological evolution of cranial shape and diets in species of Myotis (Chiroptera: Vespertilionidae). </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Zoomorphology</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>136</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(2), 251-265.</span></span></span></div>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Rohlf, F. J. (2002). Geometric morphometrics and phylogeny. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Systematics Association Special Volume</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>64</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, 175-193.</span></span></span></div>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Töpel, M., Lundberg, M., Eriksson, T., & Eriksen, B. (2011). Molecular data and ploidal levels indicate several putative allopolyploidization events in the genus Potentilla (Rosaceae). </span><i>PLoS currents</i><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><i>3</i><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">.</span></span></span></div>
</li>
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<span style="font-family: "liberation" serif , serif;"><span style="font-size: 10pt;"><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Watanabe, A., & Slice, D. E. (2014). The utility of cranial ontogeny for phylogenetic inference: a case study in crocodylians using geometric morphometrics. </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>Journal of evolutionary biology</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">, </span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><i>27</i></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(6), 1078-1092.</span></span></span></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-88064564605100228872019-03-31T21:24:00.003-07:002019-04-06T12:07:21.258-07:00What is the right way to do phylogenetic reconstruction?<style type="text/css">
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<span style="color: black;">“<span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="font-style: normal;">Phylogenies
represent our attempts to reconstruct the evolutionary history of
life</span></span>” (Huelsenbeck and Ronquist, 2001), and while
computers have increased their speed and capacity, there are
more methods to infer phylogenetic trees, based on
distance and based on characters (Rizzo
and Rouchka, 2007). Maximum Parsimony (MP) (<span style="font-variant: normal;"><span style="font-style: normal;">Fitch, 1971)</span></span>, Maximum Likelihood (ML) (<span style="font-variant: normal;"><span style="font-style: normal;">Felsenstein, 1981)</span></span> and Bayesian Inference (IB), are
three character-based methods very used currently
but MP is the only that does not find branch
lenghts, therefore, it has the problem of not
specifying the amount of change (Egan and Crandall, 2006). On
the other hand, ML finds branch lenghts but assumes that
model used is precise, thus, if the model
does not precise reflect the data set, the method is
inconsistent, causing problems, even when the
method is designed to be robust; also, the extensive
computation required and new evidence that suggests
multiple maximum likelihood points for a given phylogenetic tree, are
more disadvantages (Rizzo and Rouchka, 2007).</span></span></span></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><br />
Now, we
are going to focus in IB, a method with advanced techniques that
allows to analyze more than 350 successful sequences using a
moderate computational effort and the implementation of evolutionary
models more complex and realistic than before (Huelsenbeck <i>et
al</i>., 2001; Ronquist and Huelsenbeck, 2003). For
this reason in this post I going to evaluate the effect of
changes in the size of the matrices and the number of <i>taxa</i> used in a phylogenetic analysis with IB. My
hypotheses is that resolution of topologies are more affected
by the size of the matrix than by the number of taxa.</span></span></span></div>
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<br /></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">To
do this, I did a simulation of 3 topologies <span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">which I used
to simulate 54</span></span></span></span><span style="font-variant: normal;"><span style="letter-spacing: normal;"> </span></span><span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">matrices
in total</span></span></span></span>, using HKY model, three
different character sizes (100, 500 and 2500), and two number of
taxa (12 and 48), each type of data had 3 replicas. Then, each
matrix was analyzed using Bayesian inference and I determined
the number of resolved nodes in each one to compared between
them. Scripts with methodology, software specifications
and <span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">parameters
that I used are detailed in the following link</span></span></span></span></span></span></span></div>
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<br /></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">None
of the topologies were completely resolved, nevertheless the best
resolution was presented in topologies whose matrices had 2500 characters. The number of resolved nodes was increasing as the number of characters increases but the change was more evident in analysis with 48 taxa when size of matrix went to 100 from 500. On the other hand, the change in resolution of topologies with 12 taxa was minimal in any of the three numbers of characters (Figure 1.). </span></span></span></span></span></span></span><br />
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><br /></span></span></span></span></span></span></span>
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<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHUEBtGcj6QLPAWDDzX24eKv0iNWjAVVdHF2BVNdvyKLuXI5zdGppwsbh92IyDeM3ZKyDiSw36c9trOFrziKqAntbylqDXwUcVDXa2_Sc2hyphenhyphen9mMnLbaPRK5qmxm8RimGtfEU9fGE4PcxwR/s1600/Rplot02.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" data-original-height="419" data-original-width="608" height="220" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHUEBtGcj6QLPAWDDzX24eKv0iNWjAVVdHF2BVNdvyKLuXI5zdGppwsbh92IyDeM3ZKyDiSw36c9trOFrziKqAntbylqDXwUcVDXa2_Sc2hyphenhyphen9mMnLbaPRK5qmxm8RimGtfEU9fGE4PcxwR/s320/Rplot02.png" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"> Fig.1. Mean of resolved nodes in 6 types of topologies. In the x axis we can see the different sizes of matrices and number of taxa.</td></tr>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;">In this case, only in sizes less than 500 characters, size of matrix had more impact on the resolution of the topology than the number of terminals. What indicates that in the phylogenetic analysis with Bayesian inference, increasing the number of characters would help to increase precision and number of resolved nodes, contrary to increase the number of taxa that have a lower impact. In other words, we can said that the estimator is consistent. </span></span></span></span></span></span></span>
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><br /></span></span></span></span></span></span></span>
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So
if I can choose a method to do phylogenetic reconstruction, I would
prefer IB, because this has several advantages like the ability to
incorporate <i>prior</i> knowledge, at this way, the
Bayesian framework offers a more direct expression of uncertainty,
including complete ignorance, what is suitable to create cumulative
knowledge. Also, some computational advantages, the capacity to
handle highly complex models efficiently and does not assume or
require normal distributions apart of the parameters of a model
(Schoot <i>et al</i>., 2014; Huelsenbeck and Ronquist, 2001). Of
course, the success of a good Bayesian analysis falls on the
objectivity and precision with which the <i>priors</i> are
assigned, however, assuming that this done correctly (as it should
be), all the advantages of a Bayesian analysis, make it the best
option to have a well-made phylogeny. </div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">References</span></span></span></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Egan,
A.N., and Crandall, K.A. (2006). Theory of Phylogenetic Estimation,
in <i>Evolutionary Genetics: Concepts and Case Studies</i>. 1
ed. Oxford University Press, 426-436.</span></span></span></div>
<div align="justify" style="line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<br /></div>
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<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Felsenstein, J.
(1981). Evolutionary trees from DNA sequences: a maximum
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<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Fitch,
W. (1971). Toward defining the course of evolution: minimum change
for a specified tree topology. <i>Syst. Zool.,</i> 20,
406-416.</span></span></span></div>
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<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Huelsenbeck,
J.P., Ronquist, F., Nielsen, R. and Bollback, J.P. (2001). Bayesian
inference of phylogeny and its impact on evolutionary
biology, <i>Science</i>, 294, 2310–2314</span></span></span></div>
<div align="justify" style="line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Huelsenbeck,
J.P. and Ronquist, F. (2001). MRBAYES: Bayesian
inference of phylogenetic trees, <i>Bioinformatics,</i> 17(8), 754-755.</span></span></span></div>
<div align="justify" style="line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Rizzo,
J. and Rouchka E.C. (2007). Review of Phylogenetic Tree
Construction. <i>University of Louisville Bioinformatics
Laboratory Technical Report Serie</i>s, 2-7.</span></span></span></div>
<div align="justify" style="line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Ronquist,
F., and Huelsenbeck, J.P. (2003). MrBayes 3: Bayesian
phylogenetic inference under mixed models. <i>Bioinformatics</i>, <i>19</i>(12),
1572-1574.</span></span></span></div>
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<br /></div>
<div align="justify" style="font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: 0.17in; margin-bottom: 0in; orphans: 2; widows: 2;">
<span style="color: black;"><span style="font-family: "liberation" serif , serif;"><span style="font-size: small;">-Schoot,
R., Kaplan, D., Denissen, J., Asendorpf, J. B., Neyer, F. J. and
Aken, M. A. (2014). A Gentle Introduction to Bayesian Analysis:
Applications to Developmental Research. <i>Child Dev</i>, 85,
842-860.</span></span></span></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-44782503921753917842019-03-31T15:50:00.000-07:002019-04-05T21:45:24.924-07:00Some methods to do phylogeny and why choose them<!--[if gte mso 9]><xml>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="10" QFormat="true" Name="Title"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="11" QFormat="true" Name="Subtitle"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
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<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
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<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
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<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
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<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
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<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
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<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
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<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
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<span lang="EN">When we perform a phylogenetic analysis, we
can find a lot of papers arguin the use (or not) of some phylogenetics software
and methods. Here I’m going to discuss about three of them: parsimony, maximum
likelihood (ML) and Bayesian inference (BI), in focus to evaluate empirically
what of them is the most appropriate to the phylogenic analysis in base of its
statistics consistency with distances between trees.</span></div>
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<span lang="EN">Some arguments that justify the method used in
phylogeny is statistics consistency, property discussed between parsimony and
ML advocates (Brower, 2017). Felsenstein (1978) said ML has the property of consistency
and parsimony have it too when probabilities of evolution change are small
(parsimony and ML behave the same), but no when probability of a tips
characters sets is higher than the others in way more data are added
(Felsenstein, 1973). Moreover, BI consistency is about posterior probability,
holding consistence at every point of a parameter space depending of its priors
(Goshal, 1998).</span></div>
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<span lang="EN">To test these assumptions, I simulated two matrices
of five taxa with 1000, 2000 and 4000 characters, with SeqGen (Rambaut &
Grassly, 1997) in R v.3.5.2, using the JC model and two different rooted trees
(one for each matrix) with all branch lengths fixed to 0.5. The parsimony analyses
were made using TNT v1.1 (Goloboff et al., 2008), with 30 replicates of SPR
search; to ML test I used PhyML v3.0 (Guindon & Gascuel, 2003) using the JC
evolution model; BI was realized in MrBayes v3.2.6 (Ronquist et al., 2012) under
JC model and the others parameters by default. Topological distances were
calculated with Robinson-Foulds (RF) distances (Robinson & Foulds 1981);
and branch score distances were calculate with the algorithm of Kuhner and
Felsenstein (1994), both in R.</span></div>
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<span lang="EN">Distances among resulting trees was 0 between
trees of the same DNA matrix, which they got the same relations (Fig. 1). Moreover,
distances between branch lengths of ML and BI trees showing a kind of patron,
being the trees with a smaller number of characters (ML phylogenies) those that
presented the highest distances comparing with trees with a greater number of
characters (Fig. 2). Also, ML of second matrix tree with 4000 characters (ML2_4000
in Fig. 2) showing short distances among trees (see also Distances branch
lengths in the GitHub link), compare to the others, mainly with ML1_1000 that
have the longest distances. For BI trees, distances show that among more data is
added closer are the branch lengths, corroborating the precision of this method
(Wiens & Moen, 2008), but not its accuracy.</span></div>
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<br /></div>
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<span lang="EN">Distances between trees is not the better way
to estimate consistency in BI, because it doesn’t compare among posterior
probabilities, because all methods rebuild the same relations between taxa.
However, that test will be consider in a posterior work.</span></div>
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<br /></div>
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<span lang="EN">In this way, BI, ML and parsimony can rebuild
the same relations between taxa no matter amount of characters is added, but if
we based in one characteristics of consistency (precision) BI show a better behave
compare to the others two methods.</span></div>
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" /><br />
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<style>
v\:* {behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
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<w:Zoom>0</w:Zoom>
<w:TrackMoves>false</w:TrackMoves>
<w:TrackFormatting/>
<w:HyphenationZone>21</w:HyphenationZone>
<w:PunctuationKerning/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:DoNotPromoteQF/>
<w:LidThemeOther>ES-CO</w:LidThemeOther>
<w:LidThemeAsian>X-NONE</w:LidThemeAsian>
<w:LidThemeComplexScript>X-NONE</w:LidThemeComplexScript>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:DontGrowAutofit/>
<w:SplitPgBreakAndParaMark/>
<w:EnableOpenTypeKerning/>
<w:DontFlipMirrorIndents/>
<w:OverrideTableStyleHps/>
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<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
<m:brkBinSub m:val="--"/>
<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
<m:rMargin m:val="0"/>
<m:defJc m:val="centerGroup"/>
<m:wrapIndent m:val="1440"/>
<m:intLim m:val="subSup"/>
<m:naryLim m:val="undOvr"/>
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DefSemiHidden="false" DefQFormat="false" DefPriority="99"
LatentStyleCount="375">
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" Priority="9" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="35" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="1" SemiHidden="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
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<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
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<w:LsdException Locked="false" Priority="30" QFormat="true"
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<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
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<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
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<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
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<w:LsdException Locked="false" Priority="21" QFormat="true"
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<w:LsdException Locked="false" Priority="31" QFormat="true"
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<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
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mso-tstyle-rowband-size:0;
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mso-style-parent:"";
mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
mso-para-margin-top:0cm;
mso-para-margin-right:0cm;
mso-para-margin-bottom:8.0pt;
mso-para-margin-left:0cm;
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mso-hansi-theme-font:minor-latin;
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<o:shapedefaults v:ext="edit" spidmax="1033"/>
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<o:shapelayout v:ext="edit">
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</o:shapelayout></xml><![endif]--> Figure 1. Resulting trees: A) BI, first matrix; B)BI, second matrix; C) ML, first matrix; D) ML, second matrix; E) Parsimony, first matrix; and F) Parsimony, second matrix.</span><br />
<br />
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Le+9S18+9vffs98//tfxXPP1eBf/SsgJwf4d//Owf/+31vx3e/+/WOP+eY3v4nvfOc76OzsXH0nJBvPORXXWyQSWf0BNxtrh8NheeD5blXj5R+8iG1H8lBz7i4WB86j+vRFBB7eUTJ5tgi116cAAPpINy7f7kPJjlfw0rodyK9owtUr57DrtX/CWzsOobDxAs7XVeDY4T3YuS8Xl+9N43ZbEfYfPYr8qssIR+fQ1lSLq6PGzz0O13Xh8/ng9/uFY9s2gsFgVs71NHn0LRZN06Svn3lLU/a6mb1nLmTZe9c0bfUtTRV91zRt9S1NFXuPRqOrn4GrmL3jOEquN5/Pl/XrLfMDROaVzHvFNA1EoxEcOBDH976XQlVVBLYdg2k+/pjM+XRdz+pzTtX1lvlhIxtra5om7y1NMziL/r5b6Ll6FbdHFhGLRaCHo6t3UCZCGvSEDQB4cLkEVVfuYWb0Lm5c70FP7wCmZhcxca8X16524/rdCUTjMUwN9qJ/7AFSANLGEu5cv4nJoAUgCT0UQMx+j8fBm1aEw8/w+Bmeitl/lD7DCwRWblx5UgKBIEKhAEwziHTaRiLhRzAYQCDw5OOydcPKo885Vdebxz/D+2CVXk6tvhWZ7SJ44iF4BE/F7D9q4H3Q6HoIqZTzEDu5IXgeL4InHoJH8FTMfq2Cx188J3gfugieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnmAl4gnYpomlyUH09t3BwP0JBBIppGJLGBq8D39i+Wff7EQxOTSAac1Y/SPXCCMUtQGk8GB8CEPTPiQBwI1gYngIc7oFANDnRzA4Mg87TfCyHYJH8FTMnuDJXdfvDyAU8gOwkEpFCN7TlYPp3gq8vrUI43MB3GjJx759O/DyS+vQeK0fF6uO4p23t6Go+QpCLgAYuNdZha0bN2HviRrMmACWNdSc3I38M2OIL9xEecEh7NpbgGv35zHUWYbdu3fhSFErBoZvoGjfLuzaexAt/b53PQrbtgmeYAgewVMxe4KXnfMFg0FEo1HEYrEnxrKiWFwMoqbGwYULcSQSIcTj8fc9LhKJZO0551nwUq6J+10FWLerHBO+5Mofan1o6OjFXF87Sls64aTiOFtfgq75NGBM4nRdJYbDyxjtLEPTQAhLg+eRX3QKzZfvo6+xAAcP7MHeg4XoGZzEpZp8dNwdQHNBCS4ODGNmIYrZa2XIPTsCAEgmk4jFYtB1HX6/H8FgUDi2bUPX9ayc62kSCARgGAYMw1h9AsuMruuwbVv6upm9W5aFWCwmfe+BQGD1AlTR98zeM/+gyF575R9BNXsPBoNwHEfJ9eb3+5Vfb47jZOVcoVAI8/Pz6OjoQGNjI5qbm98zLS2NaGpqxde+toR//a/T+E//KYmtWwfQ1lb/2GOam5tRX1+Pa9eurUIt+pyLRqNZe85lfmiSAl56OQ1gFlU1bRibdwAkcKmiBBfH40hrg6iuKsfFC63Yf+gILk2lgdA4zrbUwwdAGzuLo0eLUZR7EsUVRcirbkTZniOovXAT11rr0HGtD7fOlWHDa6/gnUMN0FIAArdxbPN6lF+ZQQrA8NAQXnnlFRQUFMA0TTiOA9u2hZJKpYTP8WHjui5c11W2vsq9p1IpZXt3HEf53rPx3P0wcV0XyWRS6d5VrZ1MJj8Se08mk+ju7saf/dmf4Q//8A/x2c9+9j3z+c9/Cp/85PPIyQkhJwfIyQH+7b9twB//8e899pjPfvaz+OQnP4nvf//7CAQCWblGs3m9GYaBZDIpB7yVmkZpaTPGlgCE+1Bc2YrZOABjHqcrcnFk317sOVGMwRgAZwYttWW4s2Rg9HIpTtZ2oPz4QWx+6xX8ZHc+ivYX4uaDBML951FRV4QTR6swGo7iZsVh5Ld1YmgmBmOpB0cPtSAMIOmuvB3i9/uz9gpP1U+cvwiv8LL1E+eH2bvqV3i2bSt7hWfbttJXeKZprrlXeB+l6y0cDmN2dhbV1dXIz89HYWHhe6a4uABFRWX4679eeohdGm+8cRtlZXmPPaawsBC5ubm4ePEiQqGQ8Kwyr/Cydb1JfYUHAEjPoLLqDKaCgHm/E/Ud3dABwHyAs1UnsWvnYZy+Noqp201oG5jA/atN2LxuPfbmtcCXWjmFb/wK2rvnYM534/D2t7BxVyFuT83jVksBtm/bhgMnq3D19mUU7NmOzbv2of7KJNxHHoJt8zM80fAzPH6Gp2L2/AwvO3MMhUJIJBIwTfOxMQwTrpvA3FwI1dUOOjriSCTCsKzHH5NJ5odR0V55+jO8lUrCMCwkl4Flx4Zp2cjck5mMBzE3t4hEEgj1NqHj3gOkUza0hVn4Yz97GZp0LZhWEkAa4aV5LPijK3/hxrAwMwNfxAYAGKFFzMz78S93wbs0s3MBEjyCJzsET+66fn8Auu4HYCKdjiAQ4F2aniuCJx6CR/BUzJ7gye85fw/P40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8D5AuaaF1MP/vezaMCwXQBrx4CImJyaxEIgh/fDv03YEc7OLiDsrf2JHNczM+WADQNqBf2EWvrANAEiZYSwuPEB89aEtwzYMuCkXocVZTE5NY2FxCdGVb4dj20imMisRvGyF4BE8FbMnePJ7TvCeVKk4+ppLcfhYHYIAkE7gQt5BFJ8fhGUFUH/obWzZfxgV54ewDCCdSuBazXG889ZbyOvoR0gPoKsqF/v3H0RDz31MD3Yi98A+HC6ox6RPQ3ddLra8sw3FrbdgpIH4vRYcOFqC4UAInWVHsWvHBrz4wzfRfj+E+cFGvL23GguR5acCLxgMfqAYhh+ABdf9YN8fDAaz+kRQfQESPIInOwRPfs8J3pMqPouG3MPYd6gaYQDhsW7k7jyM5mv3EAgMI2/zZuRWN+PekgEAsLXryC/rhmHMoaWiEefba3BwzzHk5R1HReMFtJTux64juThxqhYjY7dQWt6Ivls9qC6rxkgwgGtVx3CosArD4ZXl7bmbqG3ugi8SQ3/bQbyyvRqL4dS7HqLruvD5fPD7/T8XXdcRiUSemGg0AsPQUV0dwfe+l8KJEzHEYiFEo08+LhKJQNf191z3afPoBahpWlbO+TQJBoOwbVv6upm9Z8CTvXdN01bBU9F3TdNWwVOx9wx4Kvbu96/8YxUMBqWv6/P5lF9vjuMo6XnmOafqesuAl421NU3LMnjLSUTnxtFR3YqJhV6UFpairrQCVU0XMDrbh5qSRlw8X4Njea0ILAPOzFkUnB0FkMLN2iZU5e/A5twWXL9+DqVHT+HEvk2oPt+DMw3VuHJ/CpdK9+LVl9cht7YVjbWVqK2qQllRAS5Pm0inw7hYX4YLA/6Vt0vdcZRVnMWc3wUAhEIhdHd3486dO9B1HbFY7F0YJRIJdHZ24qWXXsI//dM/4Yc//OF75sc//i6++c19+Pf/PomcHOBXfiWJr361EK+88p3HHvPiiy/iBz/4AVpaWhCPxxGNRt8Xx/eLaZqwLEv4PB8msVgMrusqWTsSicC2bRiGoWTtRCIBx3GU7d1xHMTjcSVrG4YB27aV7T2ZTGbl2nnaZH7IMU1Tyb5jsRiSyaSyvjuOo/R6y9a/Nbquw3XdLIIHwJgdxumK0xgevYwTe7djwysv4eX1R3FtdBTjiyaQnEDxoUosAUDoGk6WX0cy6Ud7RR3qqwpQfH4OgIaqrTtxvLAAYyaweKcJJ3LLUNnYjtn5CTSV7sXbu49j7/b1ePEHL6KwZw7m0ggaqmoxaT58IMlxFBafwVxgZYPj4+PYtm0bampqkEgkYNs2TNNcjeM4qKiowHPPPYfnnnsOX/ziF98zf/M3f4pPf/qnyMlxkZMD5OQk8bu/uw9f/vKfPPaY559/Hn/xF3+BEydOwLbt1YtHJK7rwnVd4fN8mFiWhWQyqWRt0zSRTCbhOI6StW3bVr73bDx/Pkwcx1G691QqpWTvhmEov95SqZTSvqu83rK190QigWQymV3w4tNDaCqqhe/h19qtLpy7egeaNoD8PTuxe88+1J6/ges3r+LOyCx6qo5hyzvvIPdML5YWJ1FzaAe27NyL+u5B9HdWY9s7W3Agvx73xofQcOoAdu3chcMlrfC5AFILON/ahNEEEB7tRk11F4zMA3FHceoR8DKVSqXe8y3NQCCApaUlDA8PY2ho6LEZGbmH/v4RvPhiGP/5P6fxta/FcePGKEZG7j3xuKGhISwuLq6+lyz60jwejyMej6/ZtzQjkYiSt1h0XVf+lqau68reXjLNtfmWpurrTfVbmqqut2x+hJD9tzQBLDsWonoEGUddI45owgIARBbHMXh/BlYqjMsXWnF5MI606cPQ4AiC5srNJXFtCoNDk0gAQCqBqeFBTC4lAACJwBwGB4bwIGw91MtGLBqBvQwk7TgiEfNnDyRtQ9djcJMf/C7NUCiEaDT6xEQiURhGGH5/EGNjDpaWdBhGGJHIk4+LRqNZ+8Dd7+dNK7xphTetyApvWuFNK56tJ4H3wRsXgK4HADlskysAACAASURBVNiIRvlrCbL3TvAInswQPILn2coGeJnw9/DkrpvZO8EjeDJD8AieZ4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4L1vpRDxh2A//MqOhuDXEwBSWBq/g+7uq+if0JB++PdOeBa3bt7Bg1gSABBZvI8bt4YQTgFwoxi5fQNDM+GVBxicxZ3bA1iKLQNwMD3Qi/7xB3AfnmvZiCEciT889zJCoTBsN7MSwctWCB7BUzF7leA5TgK2TfBkr/2LDZ6r41LRIWzbU4EAALghNO3ditz2fhiGD9X7NmL3yQI0XR1HGsCyG8L54qPYvX0zjjVdx8KDOXSU5uHIkYOoPN+HoZvtOHn4CI7kVmB4ZgZnK05gz849KGq5ivu3z+PEgW3YsrsAt6bDMMMTyHtzA4ovDWEZLkY6T+JHbxdjPrL8rodoWRbBEwzBI3gqZp9t8HRdRzgcfmIikTAiEQ1LSwn4fAlEowFEIk8+JhwOQ9f1rD1OgveLCl5iHmcrS3DiRB1CALShyyg5WoSzvUPQtLs4umEjjhRV4MbUyis2+0E38qpvAgjhbGUD2pqKsXP7QRw7fgSVjRfQULADW/cdwdGCekxM96OivA7dXZ2oqylCfm4ThkIW/L0daLl4HVpwHCU7D6Dx6hDsdBL3L5/Chv0NWNRTAIB0Oo1UKoVEIkHwBEPwCJ6K2WcTPL/fj4WFBczOzj42c3OzePBgFtXVOj71qRQ+85kUWlqCePBgBnNzjz9udnYWCwsLWds3wftFBS+dRmJhHB3VZzAy2YXDB47i1LHjOFHchHszAzjX1oN7d8/h5LF6LKUAd+YcCs6OAkjhZm0TKvJ2YGd5NyYnbqF07xEcObAD5/oncLW9Bh2993GpfD9++toGnGxoQmXROczFAWe0E82dV2ACmL3YgbNX+uAAQGoSZRUdmPOvvOE5MzOD48ePo7W1FbFYDKZprqLxYZNMJmEYhvB5njbxeByO48BxHMTjcenrG4aBZDIpfd3M3l3XhW3bStY3TVPZ3hOJBFzXzcpz98PEtm24rqvkOZdIZO96SyaTGBsbw1e+8hX83u/9Hp555pn3zLPP/gGeffbT+Df/ZgE5OUBODvCxj13Hpz/9B3jmmU899rjf/d3fxde//nXMzs5m5bmi+npLJpOwLEvJ+pZlIZlMZuU5F4vF4LruKldZ+QwvMTOE5rImjM7cRm1xLna/9VOs25KHGyNDuDsagBseROHRGiwBgH4LecWXoOuTaKqox+nGchS33odlTaFy1wHklxSgX7MwcaMBeXmlKG3owJI2jYbKXOzecgp98z6MXWpGU+dtpABMtjWjtatv5TO95BhOFbVi9iF4fr8fZ8+exa1btxCJRBCPxxGLxYSSufhFz/O0iUajsCxr9Scv2etn9q5i3Wg0CsdxYBiG9L1Ho1EkEivoqOh7Zu+JRELJ3g3DgOM4yp5zmX/4RM9jmiZmZmawZ88evP7663jzzTffM+vXr8OGDevxzDPzq+D9z/95Dxs3voH169c99rjXXnsNBw8exMLCAgzDEH68GXRU9DwajcJ1XWXXm2EYWbvewuHw/wXw5kbRVtm88hkegPDgTXT3DSMcHkPJvq3YtHUv2q7fQefFNlwZWMDA6VxseHMDii4OIRJewunj27F+026c6Z/BxK3T2LZ+PfaeOoM5bRYdpQfxzsbNyG28isn7V3By53ps3FeOIc0EAExe6MD5a3dXwHMnUFF1HgtB912PL5VKwefzwe/3C8e2bQSDwayc62miaRri8Tji8Tg0TZO+fjAYhG3b0tfN7N00TUQiEel71zQNuq6vfg6sYu+WZUHXdSV7j0Qiqzd9qZi94zhZud40TUMwGFzF5EmxrBgGBzWsW+dgwwYb9+8HYJpPPiaDcjAYzEqvgsEgHMdR0vPMc07V9Zb5CCEba6/cfJTluzTTyym4joPMrSLLSRducuVzNDehwx+MYhlx9N64jL5xE1g2EPCHYK18C5JmBJo/jJV7NpOIBDWEjZWvUlYMmhZAwlm58zKuBxCKWT/DzP3ZWkAKtuNi+d03afIuzSyEn+HxMzwVs8/2TSvBYPADJRzWYNsJOE4CkYj/Ax+XrcfJz/B+UT/D80ARPPEQPIKnYvYqfy3BNBMwTf5aguy1CZ5gETzxEDyCp2L2/MVz+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4L3fmXHMDcxC+Phl5HFaUzMhwC4GLvRjuqaelzom0H64d/HF/pxuqkd930mAGDp/hW0tHZh0QTSsQV0tTbhypAGAAhP96O97TxGNRtIR3Gnsx0Xbo7CBpCOzeJiSxOujYcAJDF56yyaz91C6F9s4xcdvGAw+MQEAkEEg36k0wmk0wkEg/6Hf/Z+x2X3AiR4BE92CJ78nhO8J2LnQ8vhbdiwrQRBADAXUb55A0603UEstojKve/gSFk1LvbPAwBS1gO05J9E3okDOFbbifGJETQX5iP35GGUnu7GlfZyHDp0EifzKzA8NYrGkjzknjiJorqz6LnQjILCXBw/egpd/ePoayvEkfxcHD9Zg6s3L6LkxCmUFB5F+ZWf4QoAruvC5/PB7/cLx7ZtBIPBrJwrGAwiGo2+b+LxKPz+ABoaTDQ2mtC0AOLx9z8uGo1m9bHatp2Vcz1tNE1bBU/TNOlr67oOy7Kkr51Z37Is6LquZO8Z8FTs3e9f+ccqW8/hp4nP51sFT8Xeg8EgHMdR0vPMc07V9ZYBLxtra5qWZfAMH3raWlBS0IBA2sVsfxdqi+vQdWcYvqVeHFj3FvadyMO5u4tIAbAXOpFX3w8ggUtVjThdm4tNm/fi0JFDKKs+jdNNdZhxgdlbjWi80I2Gyio0NzSgsvYMOjsaUNnSjLrSCpy+dBnNZWcQAjDZWoTm2+PQgyHcOX0cBZ2TAFZe2c3MzGB+fh7BYBC6rgvHcRxEIhHh80QiETx48ADnzp1DXV0dGhsbH5MGnD5dhxdemMbHPraMj30sjRdfnERLSwMaGxsee1xdXR3OnTuHBw8eZOXxhsNhOI6TlR4+bUKhECzLQjweRygUkr52NBpdfWWvYu+2bSMajSrZezweh2VZSvau6zpc10U4HJa+bjAYhGmaME1Tyd4jkQhc11XS88xzTtX1FovFsna9ZX5wyB54AMyFMbRXt2Hofhu2b96OAzu2Y8ehcvRP38fNm2PQFm4h/3AVFpaB5Nx5FHSMAEjhRk0jyvN2YX/TACLhEZRsPYjqhnpoAB7ca0dl+3VcqDyKrZu3Ia+hE71X2nF87zZs35uHszd70FjaiQSA+QuluDATB4LDKDu8E6Vn78MBMDE2hs2bN6OqqgqJRAK2ba8+iT9skslkVs6TSqUwPj6O559/Hr/927+N3/md33nPfOIT/xWf+MT/g5yc+8jJwcPcwO/8zifwiU/8v4897rd+67fwpS99CZOTk0ilUsKP17IsJJNJ4fOI9N1xHCVr27atfO/ZeM59mDiOo3TvqVQKlmUp67vrukrWtm07K9etyN5VXm/Z2nsikUAymcwuePHpe2gsrseEbxyXO5qRv3srth4oRd9IP67cGINvugenTjRg0V1GSr+DUwWtmJzoRVV5I861N6C49gbmF/tReTgf5VUluHR3CtfaK1FVW4ei6tOYmx9HXfkhvPnGMVwZW8DYhSrkVzegpqgCN6an0Fl6CrXnzqCrdxbBmcs4cqgFYQDuw/fAM5/fhUIh4TiOg3A4LHweXdfh8/lw8eLF932F19paj1df9eFXfzWNX/mVNF57bRZnzjz5FV5tbS0uXrwIv9+/+pOT6OPNfJ4iO5mftmOxGILBoPS1M2+xyF47s75lWYhEIkr2HovFYJqmkr2HQqHVVzmy1w0EAjAMA4ZhKNl7OByG67pKep55zqm63jLvqGRj7UAg8HSv8OzgIAp3bsPJ+ga0tF/HYiL9c99jLE7iUst5hB5+HRu9i1v3JpAw5tFwfBc2bT+C7nvDaG+txbm+JUx2leLttzah9sYUbCuCSyV78dbm/eiaCGFp6CJ2b3wLx2qvI26G0F17Aps2bkHp2T5MDFxB3p53sGV/CQYWY9CG27Fz4wacbLmNgDaO2qPb8fbOI7g07MfyI4/PcZzV94NFPwTN1k0rmffpDcOAbduwLOuxcRwLuh5EV5eBri4DoZAO133891uWBdu2kUgkVtfKxofoa/GmFU3TfmFuWsnWjVdPs/ZavWnl0c/wVOw9FOJNK9lY2+9/mptWUiGUbfgO/vLzf4Hvvfk6Xnn5e1h3/MZTvv5bRjKVBmBhZLgfowsra6RSj5KURvKRr9Op5CM3naSRTKbe9XePHrqcSv3se9Oph2u9u0zzF/suzQ+SYNCP5eUElpczd2nKXX+tguf38y7NtQge79Jci+BZd7D+2xtQVZaL/cdOoOlCHl75UflTgqe+Pgrg+f38PTyCR/BkheCtRfDSNjrz1+OLn/8MPv25z+Ov/+EHyL80J5kr8SJ44iF4BE/F7Ame/J6vXfAALPXV4Ccvvo4dG17A331vB4biMqnKThE88RA8gqdi9gRPfs/XLnjuNHZ84x9w+LIPQARF23+An+y7LFerLBTBEw/BI3gqZk/w5Pd87YJnD+PNr3wDJX0z0PUQzpb8FP/0eoNkrsSL4ImH4BE8FbMnePJ7vnbBwzLu1m3HP3ztG/jB9/8PvvG919A2EpWrVRaK4ImH4BE8FbMnePJ7vobBAwADvaeLcfDgMdR39iMQteVJlaUieOIheARPxewJnvyer13wliOoeusf8aW/+xZ+9KMf4tsvvIJT5yclcyVeBE88BI/gqZg9wZPf87ULnj2Ezd9+DVcikoXKchE88RA8gqdi9gRPfs/XLnjpEPJf/F94/h9ewpZtW7Fx+3609i5K5kq8CJ54CB7BUzF7gie/52sXPLiY6e9CbUUFamprUFZdjyv3fHK1ykIRPPEQPIKnYvYET37P1zB4wOyNWmx+az02vPk6XnxlA2pvLMi0KitF8MRD8AieitkTPPk9X7vguVM4+PJLeOmF7+K7P3gBr294BdsrhiVzJV4ETzwEj+CpmD3Bk9/zNQte2hnBntd2or21BAePHUfF6TLs33lGtlfCRfDEQ/AInorZEzz5PV+z4AHA3fYyVDa3ofrYenz9m/+M4s4ZmVZlpQieeAgewVMxe4Inv+drE7yUg1hwEhea23F3xgffzBAaig+jqIVvaRI8+XsneARPZgjeGgMvHRjGsTf+Fv/ttz6JL3/z/+CfX/oxvv+D72NP7T0VZgkVwRMPwSN4KmZP8OT3fE2CB6RhRBfQXlaI07fu4Ub9Yby19RSmvPdfFiN4WQjBI3gqZk/w5Pd8jYIHAEGUbN+EwspTePUfnsdf/d03sK2wV65WWSiCJx6CR/BUzJ7gye/52gXPGcCGb/8zNr7yDXztxS2oaDqCV39cKZkr8SJ44iF4BE/F7Ame/J6vXfCQxNWCdfjbv/9nlJ27iKK9m3Dq0pxcrbJQBE88BI/gqZg9wZPf8zUJ3sj5SuSX1CFv03fwyT/4DP78C3+CP/i9/w+7WsZUmCVUBE88BI/gqZg9wZPf8zUJ3tLwDXRf78PVsw04eeQg9u/dhwPHT+FC/5IKs4SK4ImH4BE8FbMnePJ7vibBC4xdxqENb+LNN1/Hqz/diJ07NuGV195BUx//49EET/7eCR7BkxmCt8bAi2sT6D5TjBe+/Ld4u7gV3d2dOPjO9/HawSsqzBIqgicegkfwVMye4Mnv+ZoEb6U0HHv1DTQOaXDtOLqqt2HTvotytcpCETzxEDyCp2L2BE9+z9cweCkMtx3Hyy/+EK+8/CP86I2duDwVl6tVForgiYfgETwVsyd48nu+hsFbqfDcCPpuD8KXSMsyKqtF8MRD8AieitkTPPk9X/Pgeb0InngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PV+D4C1joK0KJXU3YKZNDPXewJIH/6PRmSJ44iF4BE/F7Ame/J6vQfBSuHRiCzbsa0ckNoH9P/0xukJqsMpGETzxEDyCp2L2BE9+z9ckeF15O7DlyEXE4hPY/eqL6AqrwSobRfDEQ/AInorZEzz5PV+D4AEDjbvwpT/6U/zt3/0NPvPJ38cXvvL3+Oq3XkLxpWkFZIkVwRMPwSN4KmZP8OT3fA2Ct4ywfxZDtwcxePcu7g0PY/j+CG71XETXbf6/JRA8+XsneARPZgjemgIviZGLxdi+rwGRDBpTXfjp976B7bWD0sESLYInHoJH8FTMnuDJ7/kaBA+w/EM4+PI/4pX9teg+nYtvfflv8NrRM1iIJlWYJVQETzwEj+CpmD3Bk9/zNQneSukoe/0r+P1Pfwllg6ZcpbJYBE88BI/gyd57MBiA6zrQdYIne+5rDrzA+BXk7tqJ7W98C3/wX/87vvrSO9iy9zDO9C7+HCh2aBF3b91D7OHXD4Zuo2/kAZbTFvraSnDkeC7qu0aw/PDv/cOXUHCyGNenwkA6jt62CuQWN2BgagE3Wotx5OgxHC+sxu25IKZvtCP/8EGUtfZAXwZc/yzu3h6BDSA83oOy/Dw0XxnG3P0rKDxxDMeO56K6rQ+P/hc/CZ54CB7By8Y5g8EgdF1/34TDIcRiAQAOEokQwuEQQqH3Py4YDGblcRK8NQZeaLoX5ceP4ERBIYpO5eHooUM4lFuES4Pav3j5tICa3Rvx5tZihAAgMo789W/iZMcdRCJzKN+zBfn1p3FrIgAASCamUJNbhOaGEuRWtKPvVicqSutxrr0Mh3NbMHS/D9cu1mH7O/vRMz2KxoJjOJlbia7+adiJGZRuXoe3D9QjgjguVxai/vw5lB48ijM3bqPv1jVUH96MPeU9sP4Fyj6fD36/Xzi2bSMYDGblXE8TTdMQj8cRj8ehaZr09YPBIGzblr5uZu+GYSASiUjfu6Zp0HV99YcmFXs3TRO6rivZeyQSgWEYWVs7FAqtnvtx8fs1hEJLyM0N4wtfWMb+/VEEAj4EAo8/JhNd17PyOH0+n/LrzXEc6es++pxTdb2Fw+GsXW+apmX5Py1mBTHY04Wa4iZobhz3b3ahteYMrtwZwoPFG9j7xkbsO3IYtZfH4ACw5y8ir2UQgIkL5Y3oG/MjDcCc7cKpiitIAgjebkXd1RkgPIBju7dgy9b9KDl9DaFEBIOd51FT1oIgluG6AGDgQmkxri/ZABbQXHMa47qzilxLSwt6enoQiUQQj8cRi8WE4rpuVs7zYWLbNmzbVrJ2PB6H67pK1o7FYnAcB6ZpKlnbMAyle3ddF4ZhKFnbNE04jiN8nng8jkQigY6ODvz4xz9+Yn760xfw9a8fw6/9moWcHOBXf9XGV79agDfeeOGJx7300ktoampCIpEQvkaj0ajy6y2ZTCp9zn0UrrdIJAJ3BYosgQfAnB9FW3UbBgeb8fa69dj85htYtzUPvVPjuD/mhxO/j8KD5ZhPA8sLF5B/ZhiAjUsVLRh+kIDxYBjNNU0YCpqAu4i64ircXXKAxAPcG52FaSygoawQV2eTSM7dQ3NFM4IAsBxB/4U6tPRMwAYwd7kJ1Wf7kPmvoE1OTmLfvn1oaGhAPB6HaZowDEMoyWQyK+f5MHEcZ/UfP9kxTROpVErJ2pkLwLZtJWtbloVkMqls78lkEpZlKVnbtu2sPOdM04Rt26isrMTzzz+P559/Hl/84hffM1/+8p/i2Wc3ICfHQU4OkJOTxP/4Hzvw5S//yWOPef755/GFL3wBBQUFsG07K9eo67pwHEdJ31Vfb8lkUtn1Ztt21vae+UE9q+DFpgZRf6oG0xEfRu72ojnvMA7lN2BwrBetbVcxcPMMCgpOYy6WgBG4h7K8alzraUNhRRsGb19D8eFDaOi5h6VwAvGxcyisPQt/Ckj5BtHecR69N7pQXFyOwWAKxlgv6oobEYKNm3XHcKDoDIanNRiWH+11lbjUH/i5x7e8vJy1tzQty+Jbmgr2bhhq39K0LItvaQqeL/PZ2OjoKO7fv4+RkZH3zNjYfYyMjOHll2P4+MfT+M53Ehgamnj45+99TCY+n2/1sxuR/CK8panyelP9lma2rrfsv6UJwPLP4+ala6u/sxefuo+BsVk4ySAuVBzD7oNFuDszidMN5Wi94YfvdhN27ziAC0OL8N3rwK4tW7B9524UNN3CwsRd3Lh7HwYApCLobSvD7p2HcKZ3ZuWtz4VJ3Lp6G7G0Hy3HdmPz1h3Yc/AU7kzOoL/vJsa11M8/vofNy8aHqrxpRe66mb3zppWPxk0roVAI0Wj0fRJDPB5BKBRAJLJyl2YiEUY0GnvfY7N1bfKmlTV200r2y8XC/DQWg/J/j493aYqH4BE82XsPhQJIpx2Ew/y1BNlzJ3geLoInHoJH8FTMnr94Lr/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07w3qeWEyFMDE8g8fDr0PQIhid9SAEAXMwMDmA6mFj9fn28B1WVDRhYNAAsY6r3LGqbO7FoAq4+hXONtbjUv7DyvWPXUVPVgIF5C0gHcaWlGk1dA0ikH27AP4GB0QWkkMbsnXOoaTiHmUiS4GU5kUgIy8s2QiG562b2TvAInswQPIL33mUtofHAZqzfWoIgACRmUfL2WzjafAtpANGZa9j18ptouq8BAJKREZQeO4ny8gLk113C0OB1lB7LR0XlflpxagAAIABJREFUKZQ3d+JSYwlOnKpAUUEp7owOo7niFPKO56G4vhVnm+pQWFyIghPF6Lz3AEACl/PWY1PxJUxPj6AuNw+5Jw7iVNsQHiXPtm2C9x7RdR3xePx9koBhROD3h+Dz2QgGgzCM6Ac4Lo5QKJS1Jy3BI3gyQ/AI3nuXqeHWhXaUn2qEf9nC5O0uNJY34tKtIZhWEL09Xag7VYPeB6GVBafbcbDyDgAL7YUVOHuxAxUF5WhqLEXVmcvobKlAYUUTqsur0HmxHc1dvVhOm7hysQjrXi/ClAUYd8+goqUDA/eHcaWpHC1Xb+N2Vy02btyFA/v3ourK9MNXl0A6nYZhGATvXyQYDGJubg59fX24ffv2Y3P37i309Izi+edt/Mf/mMa3vhXDnTv30N/f+9hjMudcXFxEMBjMyt4JHsGTGYJH8B5v3sIY2qrbcG+oFVs2bsaeLZuxbV8hmqoOYMPW/dj11pvYX9GJOIBlYxb1eSdxquQEtr5zDBevXkT5ycPYu/8QatquoudMKfbt3oPDRY3oOtOCjmu3AVi4evk0ivPKUVJShNzd23Egdx/efmcnDu3bgi3bduPYqaM43jYGIzSAsoIOxABMT05gz549qKurQyKRgG3bMAxDKMlkEqZpCp/nw8RxHDiOI3wey7LgOA7279+PT33qU3j22Wfxmc985j3zx3/83/Abv7ENOTl4GBv/5b+8gM9//r8/9phnnnkGn/70p1FVVQXXdbPSr2QymZX5fdh+JZNJJWtn9m5ZlpK1bduG67rK9p5KpZRdb67rKtu7aZpIpVLK+q7yerNtO2vXWzweh+u62QUvPnUPDUV1mAzM4lb3BZQf3I0dhysxMNSH7q7zOPr2RpxouoaI68JJzKG5IB/FJSdwtLAZF5qLkVvXC23+Jo5v2IZDx4+jZ8KHq02FKKtqQG1TC3pv9qChsQ5nWppRWlqAEwfz0NrVjb7rV9BRsg9bDpxAfVszSqquYGykE0XFl5AAoIdCuHz5Mvr7+xEOhxGLxRCNRoXium5WzvO0yfzUY1kWIpGI8Pni8Tja2tqwdetW7Nix47HZt+9tvPBCA/7Df7CRkwN8/OMJvP56Efbu3fTYY7Zv344dO3agp6cH8Xg8K3vPXHzZ2PvTrp1IJOA4jvS1M+s7joNEIqFk74ZhKNt7NBpFMplUcr1lXtVn63p72sRiMSSTSSU9zzznPgrXWzgczj545tI0utsuQX/4dWxsEDcHxvDwvhLMXr+GSW0SZ5qr0XZ9BiOXKrB371FcHNbgxObRkrcHm3Ycxrk70xi/2YI9mzbhUGkHfLaN+xfKsGnjDrT2LiD+oB8lR3bjWNUlaPbDk+tD6O6fhJGIoLNkHzZuO4KrU7F3Pb7l5WX4fD74/X7h2PbK51jZONfTRNO01c/GNE3LyjnD4TB0XX9iwmEduu5HcXEEL7yQREuLjmg08PDP3z/Z2nvm4svW3p9mbV3XYVmW9LUz61uWBV3Xlew9g56Kvfv9K29HqbjefD5f1q+3p0kwGITjOEp6nnnOqbreMj9sZGNtTdNU/VqCiYnxYUwtue//rdlemXdpvmeCwSBCodD7RteDSCRCAGxEo4EPdEw2e+T38zM8foYnd11+hsfP8DxbBE88uh6C4/D38FTsneARPNlzJ3geLoInHv7iOcFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJh+ARPBWzJ3jye07wPF4ETzwEj+CpmD3Bk99zgufxInjiIXgET8XsCZ78nhM8jxfBEw/BI3gqZk/w5Pec4Hm8CJ54CB7BUzF7gie/5wTP40XwxEPwCJ6K2RM8+T0neB4vgicegkfwVMye4MnvOcHzeBE88RA8gqdi9gRPfs8JnseL4ImH4BE8FbMnePJ7TvA8XgRPPASP4KmYPcGT33OC5/EieOIheARPxewJnvyeEzyPF8ETD8EjeCpmT/Dk95zgebwInngIHsFTMXuCJ7/nBM/jRfDEQ/AInorZEzz5PSd4Hi+CJx6CR/BUzJ7gye85wfN4ETzxEDyCp2L2BE9+zwmex4vgiYfgETwVsyd48ntO8DxeBE88BI/gqZg9wZPfc4Ln8SJ44iF4BE/F7Ame/J4TPI8XwRMPwSN4KmZP8OT3nOB5vAieeAgewVMxe4Inv+cEz+NF8MRD8AieitkTPPk9J3geL4InHoJH8FTMnuDJ7znB83gRPPEQPIKnYvYET37PCZ7Hi+CJRzV4lkXwCJ68EDyC99gylqZx8+odGACCg2dx9OBxXBrxA8sxXGsqxMGjxbgxFXn43SlM32jGkcMFuDYZRjoZRk/DKRw8XoY7iwkkFgZQmXcc9V0jSAFY7GvD0UO56BoOAADS4Slc6bqChcTK2WJTt9DVOwbTMXGnowzHC5swFnz3PgieeFSCp+t+pNMmHCeKYJDgyVyb4BE82Wv/YoNnzqNq10as31EBLbWIhrxSdLTXIL+8FbduXkZN1RlcuVSFQ7ntCKeAtDGFpsoWXDtfi/y6s+i7cxU1VWfQ3VmH/JPlqKsqQnnTedQVF+HqnV7UVVWiub4OxVVNmDUcjDYfwLodJzAUBeD40H7kp9hS0YWRgR6U5Fbh7JkS5DbewfIjDzGZTMLn88Hv9wvHtm0Eg8GsnOtp8ugFqGma9PWDwSBs287a+UKhECzLguM4T0wyaWNmJoiyMgfNzQlEImEkk08+xnVdGIax+oQX7buu67AsS0nfNU2DZVnQdV36+pqmrYKnYu9+/8o/ViquN5/Pp/x6cxxHSc8zz7loNKrkOZf5ATMba2ualmXwLB0jt3rQUNaKWe0ailoGATjorPz/23vz2LrS88xTaCBBN7r/ajQa6EyQTDBJAz0DNBIbSLsn9iD2OHDSsNOZbJjpbE67Y8eOk+pyucpVpZWiNlISRUqkRFLc933n5eVyue/7Iu77zrvv+/KbP0hKokoqu3xZ5/i63gd4UCiK53zne973O79zzzlXqmd85fhTmXuzm7yyXhxBIBIm7HcyV59GSnknRu8xmhwbvVRWaelsLCY1NZPsgmoGultp7psA3PTqaqlsHmCsU4umrYVlU4D1qUH6W6ppHJljd/0ZJamPyMhMpbhnDQCXy8XKygobGxuYTCasVisWiyUq+/1+bDZb1Pv5pDabzbjdbjweD2azWfHxbTYbfr//XPZlt9vZ2tqitraW4uJiSktLX+vy8mLKyyv50z91cOEC/Mt/GeHixSWqqgrfuE1paSmFhYV0dHRgNBrPpVZ2ux2fz6d45qd19/l82O12VcZ2Op14vV5Ves5isRAIBFRbbx6PR9X1FggEVMn8tOecTqcqc3c6nc/vpJ3HXM79lqZnd5nm0mY2DwfJbzoGXk95I3M7Dpx78zTWNLFk9j3//UjAyVxPGY+zmth3BHDuzNBY18bG0RFDjQVk5RWRX1pLa10tLYOTQIChjgy++4+XuRV/hR+9+wFPq8q4feUaN69/wHuXb1PZpqUot5DCwhxKmyfxAutrayQkJFBVVfV84brd7qgcDAbxeDxR7+eT2uVyPf8E43K5FB/f4/EQDAbPZV+RSITh4WG+8IUv8Cu/8iv8+q//+mv9G7/xq/zar32OCxfsXLgAFy7AP/tnNfz7f/+/8Ou//r+9cbtf+qVf4m/+5m/Q6/Xncsxer/fc5v7T9tx59O5P03M+n49AIKBKz7ndbkKhkGrrLRAIqLreQqGQKpm7XC6CwSA+n0+VuZ+ut/MY2+l0EgwGzxd4jo05qnOq2PPtUJVZjE5XR05pC7Pj/WQl3aO8Z5LtAwNmmxXL/gw1lS3MzveTk1lGf28bmQ+SqB6cZmtxgtLsVDTDc2jLc6hq1FJdVY6msZGS0lKG1jZZHNXwOCWZ1md7bG2sMdOSQ0pWEfX1pWSUdDE72khaehPmCARO7oEbDIbn98Wjtc/nw2q1nsu+PolNJtPzIppMJsXHt1qtz6+6orXFYmFvb4+RkRH6+voYGBh4rYeG+hkeHuTtty38638d4dd+LURGxiajo2/eZmBggL6+PqanpzEajc+v8qLJ3WazPb+VrUbdfT4fNptN8fFNJhMOhwOv16vK3M3m46tzNdab0WhUfb0FAgFVMj/tOYfDoUrPnd5ROY+xT28NnyvwvMZ9JgfGcQL6qWZSktLoXjzCuNzFw3t3uffgIcXVdRRWFtI8vMfmcC3J91Npn9nhcL7j+HeSUihsGGD5WQ9ZKQ/Iqx/EBuyMNJKS9ISuZ8e3RwlbWZidZN9zMrh1jcmlHRx2A11l6SSl5TO8biXy0vH5/f7n94OjfQgqL62cz1xOT6ZOp/Nj7XY70OsN9PV5mZhwYLOZcLk+fhun04ndbj9zsfPT+tVnCkrnfvo8xWq1Kj6+wfDZfWnl5Wd4aq23z+JLK3q9/mf8pZWfWBEMR3voraFPcYzXS97SjN7nCbxPapPp+C1Nr9eO0ShvaSo59mcVePKWprylGbMS4EVvNYFnMMgXzwV4yo4rwBPgxawEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNH7sww8u91KMOjFaBTgKW0BnvKZC/A+gUI+PZ1tWkaXnRBxM1idRnxCBuN7VvamW0m+eYO0knYOfREAgvYtmnKSuZH4mJ5VE+b1QdJuxfO0boJAOMh8ezE3byTROnOAbWeMvOSbJDypYsPsRT/bxN3bCSQ/rmJmc5Gm3GRu3n1Cz5KZiADvXP3zBjyTyYTFYvmxtttN2O1WnE4vdrsRm+3Hb2OxWM517gI8AZ7SdRfg/YTaHy3hn354jZYJM/adAQoKWpmdbiU3pw5dewuDc6t0lqVSMW4GQL86RFPrKCsLOp6mPKW8soiWgRl0dSU0t7ZQVlnD5MQo9XWllFe1Mzw7z2BNMVXaPgaaMknMrEI3tsbG4gCa9nGWphpJy2rD/tIxRSIRjo6OMBgMUdvn82Eymc5lX5/Eer0ep9OJ0+lEr9crPr7JZMLn8yk+7unc3W43Npst6rmfXviYzWaOjo7Q6/VvtMmkZ3V1n/ffd/EnfxKistKA0XiAwfDmbU77zGw2n9vcPR4PFotF8brr9XpsNhtut1uVnjMYjk9Waqy3o6Mj1deb3+9XJfPTnjuP9fbTjG21Wp9/SDmP/X2qwPM7dmhtbaRnZI+DhSYqhs2AnvrsZgwAQT3tFUUMbHnObKd/1kFBZjEN9XUcAoeL7WRn5FHV3ofDvkdZ/lO6NwG8jDZX0z40Q0vufZIyn5KWWsC04fjYd8caKNVM44/A/v4epaWldHV1Ybfbcbvdz5v4p3UwGMTlckW9n5/GPp8Pn8+nytgul4tgMKjK2E6nE7/fj8fjiXo/p+BMT0/nO9/5Dt///vff6B/84L/zu7/bwoULYS5cgH/zb8x861tXeeutN2/33e9+l7fffpvh4eFzOV6n00kgEDi3fX1Sezwe/H6/anVXa705HA5V15vb7VZ1vandc4FA4Fz2ZbfbCQQCnx7wwE1PeyPdI/scLDZT1qsH9qjObUNvP2SkrYn+Z4dntjh8Nkhz+wgH+2u0NVaxHYLdiXqquydoK39C0p3rXH2QzeSOk7UxLdrhVfx+L7trmwSA5cZMqsa32X82TFPrIKbw8X53d3cpLCyko6MDh8NxbsA7j/38NPb7/aqdfH4WgOf1eqPez+mt0Tt37vCVr3yFP/iDP3ij//APf4ff+I1qLlyACxfgF37Bwle+8i2+/vU3b/d7v/d7/PEf/zGDg4PndrJU8+Tj9Xo/k8A77Tm15i7Aixng2WlrrEI7pMelnybv0VPKynMprNNRl3mHuLvZtPVNsHtkYGdnn/XRJm5dukpOUwfjz2Zob8gnPbuUgrxSppcWaCjJIuNxFhWaVloqM7l2I4XGtl6WN1doLy+kvKGOwqw8ausKuXElnvxGHeMLu7w8E5/PJ8/wovTP2zM8vV7P3t7ex/rwcJeFhSP++q+9fPGLYTIyrBgMe+zvf/x2+/v75zp3eYYnz/CUrrs8w/uJ5WdrfYWNfQ8QYm2okYKKNraMRibbKsjNzSGnpI65pUGyC6oZ6OmhoqSAnJw86rqfYTas0VxSgHZ8D4C9qU5KShtZPjKzOtJKUW4O2dmF9C0eYNqdpaakmM7pLY5WhigtyD/eT+ccL98w9Xq9Arwo/fMGPLPZjNVq/VhbLFZsNiNutwWfz4vDYcBqtfwE21kwmUznNncBngBP6boL8M5dPkxWByEFRpK3NKP3zxvwPsnYNpuVQEC+h6dG7QV4ymcuwItxCfCi92cZePLFcwGe0uML8AR4P7UEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfgxbgEeNFbgCfAU6P2AjzlMxfg/USKnPw3hMftJXT606AXt9v3/E/PbBF56Xc8vuf78Xnc+MPPd4DH82J/fq8bjz/0yn4iJ7/qw+0JfGQcAV70FuApDzyDwYjZbAC8eDwCPCUtwBPgvV5hH2sDrRQXa7ERYrk1j2sXr1DUs4jdskFlWgJXrydQPbBB8ARwXusKpUUlDCw68DtXKU25zdUb92keW2V5uI5bV+JIrxrE7fMwpcnlyofXqepbZm++i8cJV7h2N4eJHRcAuwOl5DaOYjbvU//kBlduP6Zvwy7AO2cL8M4PeCaTCYfDgdPp/Fh7vQ70ehNTUz7W1mx4vVacTteP3c5qtZ7b3AV4Ajylx/7ZBp5rk/KUBG4nV3PoWaY4X8ve3hyVxbX0Dw0zPLmJZb+fJ08aMJ58+NobKeadiwm0T5lwHMwxML6JZX+Qpyn59IyOsLpzgK60gIHxLioa2lhdfkZDbRGVzSMsHxh41lJORcc4FvseDalxpNb1MtTTQEHzPKa9QfLyu3C+9JEyFApxdHSEwWCI2j6fD5PJdC77+iTW6/XPT2h6vV7x8U0mEz6fT/FxT+fu8Xiw2WyKz12v12OxWPB6vecyttFo5ODggNHRUQYGBhgcHHyth4cHGBwc4XvfM/HP/3mE3/5tH3V1C4yN9b9xm8HBQfr7+1lfXz+XHtXr9dhstucXjGrU3u/3q7Lejo6OVF9vfr9flcz1ej1er1e19XZ6gXkeY+v1+nMGXtCHcWMRbbmGzf1+CloXgRD9FY3MbB9/Clvrr6WibRbfyW3KkE+Prr2ZzuGjk51EWO6toUK3AsBcUw63k6uYGmindXAS8NDd0cDoPhAx0lVXQ9fIGK1NzXRpa6jRdtDd2UxJyzP2V7tJTSzDGIGlhQXee+898vLy8Hg8+Hy+qB0KhfD7/eeyr0/qYDBIMBhUZWy/308oFFJl7NPcA4FAzM/d7/fT2NjI1772Nb785S/z1a9+9bX+/d//Ir/923/LhQseLlyACxci/Lt/l8N/+S9feOM2X/3qV/nSl75EXFwcLpfrXI43EAioWvdwOKzKevN6vaqvt3A4rFruaq638+w5j8dDKPTiEdi5PMNz7yzSVNLElmmMvKpxwEFrWQNzmyZ2Z/po6ZnGeWYLJ7qWenSjRogE2RjrRNs3g5sgFqMek/mQnqYi8gvLaegZIxCw0qGpYWjliLn+FgaWLUQss6TeuMrVD97i++/FU9szQMnDJO4+uEviYy1OwOl08OzZM1ZWVjCbzVit1qjt9/ux2Wznsq9PYovFgsfjwePxYLFYFB/fZrPh9/sVH/d07j6fD5fLpfjcLRYLDocDv99/LmPb7XZmZ2d58OABd+7cITEx8bW+f/8W8fEZ/If/YOXCBfgX/yLIt7/dRnJy/Bu3SUxM5NatWzQ3N5/b3E/BqUbPWa1WAoGAKuvNbDarvt4CgYAqmVssFvx+v2rrzel0ntt6M5vNBAIv3us4F+A5NuaozqniMGShI/cxj1LukVHTy/xgPZd+8EMe5FfQ3jPC5PwcK3sewIm2sZrOMSP2hTree+uHpBSW09rZTUvNU9Iy88nKKWRobh5NSQZJd1MoamihsegBP3z/JnnFlQwtHxEBAkutFDf3srg0TWHKQzJzs2gY2T3zkkwwGPy5uKV5+kxBbmkqO/Z53tI0GAyYzWbsdjs2m+1jbMfrtTI4aOa994Lk5Dix23+S7Y7hcPr8Itq5f5Zvaaq93uSW5s/iLU0g6HZwsL2HH/DpF+ho62bD5MFjXKVb14amuYX+0UGq68vRjlmBEPqjA0xWH279El0dbWiaNPRNbWCz7DDQ1sLI4vHtTtfuM3QdfWybnRwsT6DTamhqbGFy03Q8uNvInt5KOBRga7qH9r5ZHGdf4pSXVs7B8tLK+b6laTKZfqyNRhN2uwHwEAxaMBoNP+F25zd3eWlFXlpReuyf7ZdWPgkYA34Cwdd9QeHTlQAvegvw5Ht4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKe4oy2PAAAgAElEQVR85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8GJcAL3oL8AR4atRegKd85gK8KBWJfOItznXnArzoLcAT4KlRewGe8pn/LADP5/tZBV4kwN70AHU1XdiJsNlTyo2r8VQOr+Nx7tOYdZ+4m0k0T+wRPtnE796hqb6O4UUbEMZ1NElRRTtHzjCOnXFyU+6TWdbBkT9C0LFHd30h/XsQNMxQ+OgO97Mb2bG52RisIiE+jofFOoz+AE79OAUVOo7s4TOHKMCL3gI8AZ4atRfgKZ+5msAzGg2EQlbAg92ux2CIfi7nCzzXFiX34rl+v5Ij3zqlOQ0sLQ1RUlzHwNAAnb1z7K51kvakAWPgeJPdoQL+6d0btEzaAS8jNbf5u0v57O7u09+YxcPMArKe5jFj8bPTU8bVH/2Qhk1Yb8mhvHeErqoyajsGGe7qYn5vj7acTNpmlhiqucN3LhWwZzsLPL/fz9HREQaDIWr7fD5MJtO57OuT+OUFqNfrFR//FHhKj3s691PgKT13vV7/HHhq5K7X658DT425nwJPjbkbDIbnwFN63KOjI1XXm8lkwu/3q5L5ac+d13ozGo04HA58Pt/H2u/343JZqa52kpkZYH7eQjjs+bHbeb3ej+2R8wVewM3B8jM0ZRo2DwYo0C4AQfrKG5nedACwN95ESdMEnhMOBVx7tGqb6BrVAxF8zjmKq7tZn52j7NFlHmSXkJ9XwsSBB4/DwkRLFpoNcM43c//WFa7eTmdw3Xm8M8cG9SVVTO/a8bvmyC9pY/eErC6Xi5WVFTY3NzGbzVitViwWS1T2+/3YbLao9/NJbTab8Xg8eDwezGaz4uPbbDb8fr/i457O3ev14nQ6FZ+72Wx+vljVyP30QsPhcKgyd6fT+fyEokbtA4HAZ3a9BQIBVTI/7bnzWG+n51yNRsOdO3e4f//+G/3w4U3+4R9G+MVfjHDhAvyn/2Th3r10HjxIeOM2iYmJpKWlsby8jMPheO1czv0ZnmdnkaaSJrYMI+TVTgFuOsoamNu2oF8cpqltCNOZD10udNp6dCP6k//forSig7WpcaqKc1gPwcFoKYV9RiDAdGsOLetWppvKqO3oQ1ddTN3AEk7nIX0tTYxtncAvvEZBYQs7J8BbXl4mLi6O0tJS3G43fr8fr9cblUOhUNT7+Gns8XgIBAIEAgE8Ho8qx6Dm3IPBIH6/X/G5ezzHV5ihUEiV3D0eD6FQCJ/Pp8rc/X4/wWDwM9lzaq63055Ta+6hUOhc1lswGMRqtfLOO+/wm7/5m3zhC194o7/0pf+df/WvarlwgROb+Y//8b/yO7/zW2/c5vOf/zxf/vKX6ezsfG1eLpeLQCBwvsBzrM9RnV3JQdBAS1YGOdlpZFR2Mjek4cYHH/KkopnB8TmWNtbYMfgABy31lWgHDk9AtUJ2XiPbO4eMtOTzKCOfvOw8Bnd9gIexhsfUr9iYqcslq6SCkqxMKts6KH14nUv3cmhq7WXDEoTgMhlZ9Wzpjyd4epKy2WzPbxNEa5/Ph8ViOZd9fRIbjcbnt1iMRqPi41sslue3c9WYu8fjweFwKD53o9H4/K0xNXI3Go14vV5sNpsqc3c4HHg8HlXmbjKZnt9VUHpcg8Gg+nrz+/2qZH7ac+e53ubn5+nv72dwcPCNHhvro7Bwkd/6LR//9t9G+N73DPT3DzE8PPDGbfr7+xkZGWFvbw+z2fzauZz7J7yAw8Lm8jo+wLUzTk1lA/MHTpwHszRUV1JWVkFrdyel1cU0D1uAELvbG+weeY53ELGzvLyF0w9h+zYdtRV0jG8fv+QSCWLcnmfLDrh26WmqpLZjAqPDyKSuiYqyUsoqm1gwBgAHS0vbOL1nn+H5fD55aSVKy0sr8tKKGrWXl1aUz/y0585zvVmtVux2+4+1y2VidtZOT48Pvd6I223DZvv4bWw223O4vW4uqn0Pz+t24vaFf/wvnrPkLc3zWYACPAGe0hbgKZ/5pwG8TzK2z2cDvJjNBn723tKMAQnworcAT4CnRu0FeMpnrjbwYv6L52pLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXoxLgBe9BXgCPDVqL8BTPnMBXozrPIEXCARUA57b7cbtdqu2AAOBgOLjns7d5/PhcDhUA57f71cNeH6/XzXgORwOfD6fasALBoOqAU/t9RYMBlXJ/LTn1Fpvdrv93NabAC9Kezwe1YDndDpxOp2qLUCPx6P4uKdzd7lc2Gw21YCn1onv9EJHLeDZbDbVPuUYjUa8Xq9qwFN7vXm9XlUyP+25n4f19pkEXiQSIRQKEQ6Ho7LP5+Pu3bvo9fqo9/VJHQqFqK2tpaam5lzm8kltMBi4c+cOgUBAlblnZWXR39+v+NxDoRALCwskJyerknsoFCIpKYnV1VVV5t7V1UVOTo4qc/d6vdy8eROr1apK7hUVFTQ0NKgy94ODA+7cuaP4uKdzT09PZ3R0VJWem5mZISUl5VzGDoVCRCKR5yz4TADvvBQMBrl48SIGg0GV8YuLSygpKVVlbIPBwPvvv0/4peZRUsnJyXR2dqky9tzcHNfj41UZG+DKlSssL6+oMrZWq+Xhw4eqjO33+3n33Xex2WyqjJ+Xl0d5ebkqYx8cHPD++++rMjZAYmIiAwMDqow9OTlJ/Ke03j7DwIsQ8Lmx2+24fcHjn4RCZ07okVdO7pFIhO2dPSKRMITDxz8M+3C6PJz8HyG/B5fnNMcQHpeLQJiPKBwK4HbYsTvdhI53Tij08i+GeZUtJrOJo/2dl8aL4HW78J0OEAnicroJnWwX9Lpw+UKvmXoYv8eF3e7Ae7JtOBQi/NJ4r4ItEAiwvb1zsvnJ6EEvTrfv+e/4vW48J1kS9uNyeXjN6IQCPpx2Ow6XlwhAOPx8bJ/bifs1x3xwcITL7YZI5HgbQrhd7hfZhn04nR5Oj9rvceIJvAbOkRBelwO73Yn/JKhw6Hi8SMB7ppan8ni87G5v4HI68Z/8YdDnxuUNnO70bB0Cx7l8dPQIQb8Hh93+okfCoZN6hfG4nHhfc8w7Ozv4fD4Ih473GQngPO0bIHymDmG8bidnIoyECYZCL44nEj6udzj82guYl/vearVyeHj44g+f970fp/OVvnef7fvTrMKhIC+3djgUPLkCf93F04u+j0QibG1tEY6ECQe8OF2ncz7O2/u8+Md9HzzZLuR14fKe9GEkRPDM4C/P/TWjv/QzvV6PyWR6kcvLfe960fcBr/v5OYRwANdLxxkKBc+uq+efWs4O7nc7z6xVv9/P9vb2i1840/cvnVNeqYPf48Tjj5wcb4hg6KXzWfjFJ6aXy37a9y+3zP7+Pg6n6+Sc8lLf+924PGf7/nkdgi/3feS4507HiUTe0HNhvK6za9XlcrG7u/tyaM/73vVS35+tQ+S474N8rD6zwPMfLZB96x0+uBbPzQfZDK/v0pWVx/ChnaDTQE/ZIyonjK/bkomGSsqbhvGGfQyVP+LylZvUTx/isW1T9eg6VxIymTqyszZQRfzFKzytG8F95iwaYaz8Ph9cvET8zTsUdc4w39lGTW03XoIcDlWSVall33d25KB1nfrse1y6dpfawVX257t5GPch9wq06D0+VtoKiLt0hcKuBazGZQqTrnPtbh7zBu+Z/diWenhw9QdcuhZPQnoFs+sbND/OYzEAXvMqDYVptK6+vhd2+kvIrhvGYjPRmn2Hy/HJ9Gy7ce9Nk51wmfjUctbsdiabsrn8YTwV3Uuc2VPISWvGFX50+Ro37iTROLnOVF012oEpNhc7SLoRx60HeUweeD4y9sFcPwWZ1RwRZru3kluXL5LeOIrT42GkMpXLV27ROLOLaWOE1PjL3HlSw677LDz3BquIv/hDrl2PJ6WolcWFWWpzath2bFL/9D5XrtyirHv+DDAiATtjDdlcu3adjOoBDvaWKE2O4+q9bGYsPqzzOh7Efci9gjaO7CY6Cx9w6co92mcPzpxEIvYdyu69y/tXr3Pzbiq6RTuG0UIKu6aY6a7m9tVr3MusZs3+0VXr2+onN6+cFWuABU0WVy9do3RgDbfLiDbrDpdvpNC/ZWZvuoWEy5d5VNyF9fScb1zkcfxVNPNWAFZ1eTzKqWOgS0PrnOVFfzkN9JY/pGLs6CPjRwJOJhsrKasfxBvxM1KZxpXLN6md2sdt36Em7QaXb6czfmhjY6iGGxevkFkzhCcCk2X3SMztIAhEzHM8TXlCZ08XdboJ7KfnzrCf/ZFqsipa2DvbrvjMa1Rn3OFSXCLVAyvsL/Tw6PqH3M3TcOjxsaor5Pqly+Tr5rCaVilOus61xFwWbQECW/0kXk9g/CgEhBiufEx2eRs97RoGN14sMI9pjaaCVLQrryy6074ZKCWrZgCzzUJ7TiKXrj+ga9OJ+2CGnITLXH9UyqrNzrQmlysfXqeiZ5kAQbRpcTxpnAXAudpJSkoeA33t1PevnJzEg+xONXP/Rhw3k3IY33O9MnKAvZle8jMqOSTMbn8Vty9f5En9CA6Ph7GqNK5cuUn95A7m7TEe37jC7bRqDgIRzKOVxN/JZMsLYKcpK5mK5k7a2tpZMBwDJmBboSrrPlcv36S0cw7vyw0bcjJY9YS4a3E8qernYH+ZiofXuXr3KdNmL7bFLlLiPuRufgsHdjPdxSlcunyXtmcGQn4DhXcuUza8D8D+cCXJTyoY7G2haeLkAiroYb67lFtXr3Evo5IV20f73rs1QF5uKUuWAEutOVy7dJXivhXcLhOtOQlcup5M74aJ/ZlWEi9fIqWwA/PHQO8zCzzHyhgVFbWYgZWBBhq6xqm7/5C+QxOm5UEeXvxHMgY/eusyYJoj/eo1Hpd2smuYoKC4H/3hFOUldbRqaqlrX2BnrZ+i1CzK6+uZW9umoyaf7u3AS3sJ0l+cQc9+EBwzVNS001NRTn5xCzY86B59yKX0anZeWXvmjWeMTS1zuLVATVYC94uamV9Zp1fbSLNGQ0l5J4eHi1QXVlKV+4S66SP2BsvI1y08v/oFOBrVUqHtJ0iYoZYaWruHKbn1iLmgj52+Gm5deo+qxQCvymNapT41jkd1fUyMdlLeMMXh9iBlZU1oGmrpHF5lfqKDkrQMylp72V6dpbqyglnzS1eZLiMtBU+ZcYNvp4+Kpn46c3OoaO5iYW6EZ/tO1nXZPG1bPTu47xBN7kPiruez592gvKCRjb1lmqtr0bY2UVw1jOFohpLMYiqLsulYNLDUkUfF2MGZ3axqS6gZXgXMtFTX0dnRRcGDXJ7tPWNkdhP7ej/ZBZUsWV9s47ftM9Y/xpHTjC77PsnFxbT0LrM+p6OyWkNtdQNTS2v0dzRTnv6Y0t5nHC70UFirPXPy9h4sUVNczC5wON1EZesq2z2pPKjsZGJslDWDlbHaJ5SOmM4cMwET/SUPuZtZyujiDGUlnRwdPqOqpI42bR0VjTMc7o1QmJZLRVUpI6uHDDXk0LLsPt78cJW8D/479zuWCXrdDBVd4XKmBl1DKdVjpxd1IfTzfTy69H2e9B/yqoLmeTKvx5Fa3MGeaYrC4j70h9OUFx/3fU3rPHsbAxSlZlNeV8fs2i5dtfn07QVZLLrJxcRU5t3gmynmcuITNJpGCuv7sJycckI+A22pF7n4uJLtV4Bn2ZpndHKRo90lap/e4X5RI3NL6wy0NdLUrKGkQsfB4RJ1xZVU5T6mduqI/eEKivo3MC+M8PBH3yZn2gquHWqfXOJucTstNaV0LJ8OFGS9r5bbl96lYv6j50CPeY2G1Os8rOlhfLSb8vpJjnaHKC9rQtNQQ8fQKgtTnZSkZVCq7WZzdY7amkrm9EH6U37A5awajryg73rIe0nF6FqqKWibO7m74WVtso+ZPSebndlktC6fHdx/hLbgEdeu5bDr3aCyoJH13RU01XVoW5soqhw87vunJVQVZdG2YGC5I4/qORuGgRpufPgD6rcBwxjp96+TVdNOTXUtUwfHa9KzO8PAzDr2zWFyC8pYeHH9Q8B+wFj/KIdOM105SSQXF6HpWmJjvpPKag31tfVMLq4x2Kmh7MljSntnOVzso6Sxg+1DC3XXv83NuhG8vhDzNTf4UVo9XU1llPaffHrzmpkdHWBVb2ei/gnFw6+cbwNmBspSuZtezOjiHOUlHRwdzlNVWkebtp7yxmmO9kcpepxHRWUpw6tHjDTm0Lz46kXDC31mgefdnSbt6j9y+XYCV+MSaRxfpDk5jd5dA4FgmJ2+AsrGP7rwIyEfuxMjtDbqWF7XUdK7D7jpzSuipLaEzrUQhPapuHiDis4uvMDsYD1Nky8/h4jQnxvPj67Gcyf+MkllnYw01lFYrMEOBDcHqWlpYd35+mNfG+mguTKfXG0f+iDsTozQlJ1MVt86EGG4rJr8ewmMuwDDANmNk2eu3Myzrdy++D+5fucWV26m0TU1R0VCGjPeAAGfm7m2HOoXz551Qq5dWqpq0LXUUN2ooU3XQOOMEzDSkZ5JrqaROSN49csU/egyddNLgIOO9kYG117qq4CN+uR3+VH8HW7GXSWrdZz+wjwq2saP/9x/QHtlKf1r1jPjE/ThMGyjLWpg63CYIs04AeBZaxu1hWkUjRoBL22PnlKYnclaGDzrWvLb187sZquzgMsXf8TtW3Fce1DE0MgIhfezOL15tD7YRJV29MUnj5fk2BqlobSYMk0Ng9sRwvZNWh8/4ml7H4Yg7M+Mkv/BJVq3rBDaorKpnRXDC9iHzBvk3XiLD28mEHf1OqX9++z1pJLcsnDcFdZl6ssqmdG/lFfExXhrDQ31TTTUV9PeraWkewMIMlxWRXllDg1zHsBM7fV7lNbXYgK2JxuoGNAD4N1dQ1d2h+TKfuZnF+gtTCanvY/2ujLqJk7hGsbnD7LXX0DZKxcJcNL3U6O0NuhY2eikpGcX8NKXV0xJTREdq0GIHFJ56SYVHTrcwPxwA81Tdnbbs0ktKqZ9ZJNnTaUU1leh1TZT0jSA9fTObiSEf2uYGk0zq46PZg+wPqajubKAXG0vh37Ynx6l6WkyWT3HNR6trCU/8TajTsA0REH7IgfTYzSW3iW9foqVyXG0hQ8p7OinpaaczpXTHg/h87h41pFD3cLZOwth9z7a6mo6NDXUNDbTqmukYdoBmNFlPCWvuYEZPfiMqxT/6DK1k/OAm+7OZvqfWVlqSiGpuJ6h6Q0mK5+SrWlF11xDccf82VvegUM6KkvoXTGfnXTQj8O4S2thHZuHwxRrxvAD820d1BWmUTCsB3y0p+VQ8PQJKyHwbbRR1LuHfriF4pJHFLYtsDLQSV1pBpXtPdTW1jNzePaW6sawhqqWIayv6XvXzjgNZcWUaarp2wyDc4u2x4/Iau/h0A+Hz8bJf/8i2k0zhHepbe1ibmGfsdpEksp0TM8tM1T8kKy2HnQN5VQM7p3N2LZCY1klU4cvXeFHXEy219BQ30hDfTUdPVpKulaBEMPl1ZSXZ1M36wYs1N+4T2ltNUZgb7qRioGPnrdP9ZkFnmt9grLCIpbMZhbaysksKOZpYib9u8cNt9ufS8no64MzTA7S3KBjZbuPgqZVwIAmv4yq2jK00w4i7hWK4+9R2tKGORBivL2EljMLKchgyROaZnYxHzyj5Ekq2ZlFFJdocQMcDFLe2Mz6qxcqIR9b011oehfw+/aoqdaw7QiwPNRJfUk+uc0zgBNdcQWFKffo1gObWrI108/vwQMYJtooqm5i32xmqDyLzOJynt7JYNYHEGC29Sl1C2eBFzwcI/XGVa5+8DZvvfMBKaXF1AyYILRBfXYRpXV1jG/7sOxMUHDtJuVDM4R9RloaqhjZe0HbiMeMNv8x3Vtm9It95GZmkp2aS33XJH6/jcFWDSPLr3zCOT0G6w7N+TVsWacpLO/Fg5fhpibqKvIpbN8ETNSlZlOYk8G0E2wzVRT0bJ/Zx1p7GSWtg5jNBrTZqWQWVZCVVMAeQfZn+9B0TvHR68Mw9u0JNC19HDlcTHTX0fHMic84S11uAQX17ew5A6yOdVMQH0/tgh4ci5TUtrDx0nWO/2iF6vxspgxmNgfqSM+qY6D1CentC7hte3RptDzbf+VWbmCf2ow7XP7gPf7xe2+RVJBFRsMyYKe9tIramiKqB03ANmW3UyiurmLHB6t9JVSfXGR5txbo1NagrSwkLb+AVm0rTZ06Wuor0C6eXfP7A7mUjOy/Nn/j9BDNdR2s7fZR0LgMGNHkl1NVU0rLpB28q5TcuEdJcwumQIQpXSnaRTebXeU0d3RQnXGLjNpeerpbaNE0Ut42efZ56eEIFQ1NrL56oRfysTPTjaZnHp/vgNqaZjZtAVZHu6gvzienaRpw01VWSWHyXTqPgO128jqXOZgepq2jCW1hGkkldfS0a2jQddJcV83wGa77mWt7Su382fxD+gnSbl3j6gdv808/eJ+UkmKq+00Q2aIhp4jSulpGN33Y9qYouHaL8oEpgn4zbc3VDK3YedZRjqZFQ1HmPUoau2jvbqO1qYby/q0XY3iPGGhrZnjxdY9QIGTbQ5NXzaZlhsLyblz4GGlupr4in4K2DcBE/eMcCrOeMOkAx2w1RcN6joa1aDrb0GQlklTRzkBnM41t7dTWt7D2vMmDbM30odFN8JHrjEgYx+4ULS09HNhdTPbW0TrjwG+eoy63gMKGNnbsAdYnesi/foOaZ4fgXKayqZ2FlX2G26toqaviaU4GjZp2NF0daOsrqJt6sSh8lg10zRrm9txnxw4eUJ+ZeNz3//AWSflPSW9YBOx0lFZRU11E1YAR2KE84SHFleVs+WBjoISqcQtv0mcWeJ7NcR7f/ID00nLy0jOp6uii6FYyndvHJ9utrgzyhz56pQtwONpDbXUbJvcRtWnJpKTcJ79jms3FYXLu3+XB4wy0I7P01Ody904SGQX1bJ+pZ5ierHhuPc6jvKyArMIaGouKyclrxAmw00NRTR1rr/SAZbaBi2+9zd30Ipr7RulurOTJ/QSSsiuY3dqlpyidhw/uklHdzbPxdtJSHvHwQSq6ReOZq0njRDN3b8aRV1rB07RM6nVdZMclM+mJAD4mm9KofPb6ZxnB1Q5KNH2sri5Qknyf5EcPqRndYGO0lSeJCdzPKKB/eobmkgzuJdwnt6Yb40v31CM+C7UPPiAxt5Sywhzya1uoy8ihuqWTjsp7vP3eLQrKqhlasX5kbL9pk7r0YrYjdobKsnl4P4GHJVrWtjZpyHhIysMHFGpHmO6rJen+Q1JTsxg7OBviemsuNxPuUVpWQcbjPJpatWQn5TO10sH1t9/mfnoeNV0zOF9+hmdfIO3Dt7h0L5vKxm6GB3Rk379LUloGHYs7LHZUkHo3gQe5VUzOjFGalcaDxCTKO2dwvRR80LBK7p33eVhcRtHTdIqaJ1nQpZJS1UrJg8u8e/UBxVVNzL368BbAukpTTTmjW3p0uak8TL5LZsMQm+uzFCffJzk1ldq+aUa0xdxNSOZxVhnLtmOcuDdm0TY2MDtZz+Ur6SysjlCjbUdT/IgPbz8hr7CE9onjF5J2uzPJf+UK/FRH473UVGoxefTUP35ISso98tqm2FwaJS/pHg8ep6MZnqGvPo+7CQ9Iz69jxw3P6gsZXZ8i/+ZF8lsnGB1upbmpjqSEOzzJyqWosR+DBzgcpLi6luVXrjhs881ceuttEtOLaOodoaepiif3Ekh6Ws7M1i69JRmkPEgkvUrHswkdj1Me8TDpEd2bViyz/bR26hhty+KDO5VsrA9QpdFRl5XI5btPyS2uYmjZBJEg081pVMx99NkxQGhNR2lzNytri5Q+vE/yoxSqRtbYGG8n/W4CSRn59E3NoCk96fvaHgweP8M1xcxsjpB88Sra0Uk6ulrR1hVz/XYS+QUFVLeP0JJzk7d/dIv80ioGls0fGTtg3qbuSSFbEQcjFSd9X9zC2tYmTRmPSHl4n3zNMDP99Ty4/5BHj54yafJz2NuAbnyYzqIE4jM6WFvqpFrTTlHqTW4+zKWgpo1hXRXx773DvfRcqjuncLy8Vh1LPL74Fh8mZlHR0MXQYCfZSfdISkunbWGHpc4qHt1NICmnkvGZccqyT/q+ex6b6ZDOukqeLeqI//AeE4sTNLS2oa3I5OKtVAqKSmnuHqQy+QPeuZJEcVUjs68+vAWwraGpKWNk20BnwWMeJt8lo36QjfU5SlKSSE59RG3vFCOtJdxNTOZxZglL1te8JXiizyzwIn4HS2NdtGi0dI3MY/UHMa6vYzx5e85j3mHP4sbjtGGxWLBaLFhsToKhCD6bmcPDY4jYt6fRdY5w6AYIsjXbT/fQAh4gaNlioKubxVdOugCmzVm62jRo23tY1jtxG/Xs7OqPX3Lwmtk/OsLudmG1WrBYLFgsVo62lxnu0tGq1dI/tY7TbWaqv4vJ1eNbV37jMt26PjbMPiDI2lg3PRMb+F95Gy3oNDDd34ampZX+mXVcfj+Hq+vYQgBh7PotDm0+XHbrydgWrM6gd64AAAcCSURBVI6TNyA9ZvYNNsJEOFoeQdc3c7xdxMnCaDcD01uEAdfePN3dg2xbXn2CHGJ/cYR2bQttXcPs2P04D/Y4ODKwszROl64dbZuOiaW957mbrXa8/hBhv4ej7T28QNi2RV9nN4sHx9eltpM6HHmBkIPZfh3DC4cfeVPSa9pipFuLpqWNsZUDPB4XB1t7GPWbjPXpaNNq6Bye5cBoeT53s3GXmYFeOtq0dPROYHC52Zzuo2dsGR+AT89Y74s6mJbH0PVNYnr13BnysD7Vh7alBd3AJHoPhCxbrO0esDI1iK6jDa2uh2cb+pd6zkEgdLyt4egAZxB8+gU6dQNsn9x/OlwaRtc3fXyF7jpktLuTmS3bS8M6MOiPcPmd7GwZCfqtHBrNGHeW6OloRaNtY3T55PaneYc9i+sNfW/h8MBABHDszqDrHObAFQFCbM8N0DU0jxsIWbYZ7Opi/uQFDPvhLvaAB/3eIVabE7vNgNGoZ36shxZNM639s1h9QMDK/uERdrf7bN/vrDBy0vd9k6s43Wam+7uYWDk66fsVunW9rJu8QIj18W56JtbxAyGHGYPJhNNpZXfHQtBv4cBo4Wh9ho5WDc1tXTzbsQPgMJz0veNNfW8lDOhXRtD1TmENAbhYHO1mYGqDEODeW6C7e+Ck78OYD/ZwhjwcbB3idjswmY2Y9HtMDOhoadHSPbbI2uwoPV0daNs6GF/cfanvbcd9H/BwtL2LB4jYt+nv7GZh/+SYT+pw6IlA2MncgI6h+eM7Uz7zESaHDZvZwMGhHb/HxKHRws7CCK0tzbR0jzL/bIGpoS7atBp0QzPsv9T3FuMuM4O9dLS10tE7jt7lZmu2n57RJbwAPiPjfS/qYF4ZR9c7gdEDhLwYDw9wBd3sburx++wcGU2Y9tcZ6GqjpbWdwcllVqdP+r6jh7mNoxc9Z33R98bTvjcs0qXrZ+uk74+WR9D1TmOLAK4jRrt1TG189EL5zPr/rALvJ1LQSEfJAy5fjedm/FXiUsrYNiiXkX6yjoSbccTHX+dy/F0ah15/q+lTkWONyozbXLkWT/z1ayRktWD3KPcdvK2+Iq5fi+Nm/DUu3Uqlb07B7z6aZ8hJjudaXDxxcdd5XDmq3NiEmGx6wpWr17kZf5Urd/OY33nzQ/hP5xBMdJYmP+/7a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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Mention"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
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<span lang="EN-US" style="mso-ansi-language: EN-US;"><span style="font-size: small;"><span lang="EN-US" style="font-family: "Times New Roman", serif; line-height: 115%;">Figure 2. Summation of branch lengths distances of
each method with its characters amount.</span></span></span></div>
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</span><br />
<br /></div>
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<b style="mso-bidi-font-weight: normal;"><span lang="EN-US" style="mso-ansi-language: EN-US;">References</span></b></div>
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<w:LsdException Locked="false" Priority="39" SemiHidden="true"
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<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
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<w:LsdException Locked="false" Priority="52"
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<w:LsdException Locked="false" Priority="46"
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<w:LsdException Locked="false" Priority="51"
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<w:LsdException Locked="false" Priority="52"
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<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;"><span lang="EN" style="background: white; color: black;">Being
able to gather several key concepts, the need to reconstruct a phylogeny was
born with the </span><span lang="EN" style="color: black;">origin of
species by Darwin in 1859<sup>1</sup>. Before that, knowing the evolutionary
history of the groups had not been thought. <span style="background: white;">Haeckel
in 1869<sup>2</sup> was the first to use the “phylogeny"<sup>1</sup> word,
nowadays it describes the relationships of species, taking into account their
evolutionary processes and patterns throughout history<sup>3</sup>. The </span>types
of phylogenetic relationship <span style="background: white;">can be
monophyletic, paraphyletic or polyphyletic<sup>4</sup>. Various </span>methods
were developed <span style="background: white;">to infer phylogenetic trees<sup>3</sup>,
however many times the results on which is the best tree that supports the
observations vary<sup>5-6</sup></span>. Some approaches use <span style="background: white;">a distance method, compressing phylogenetic
information within a set of sequences in a pairwise-matrix distance<sup>3</sup>.
While others use characters, taking advantage of all the information available
in the sequences of each homologous<sup>3</sup>. However, before embarking on
phylogenetic discover, first we must define the research question of interest.
In addition, the conceptual framework and a quantifiable hypothesis need
to </span>be generated <span style="background: white;">for our group
of study and once we know our objective, we start obtaining the respective
sequences<sup>7</sup>.</span></span><span lang="EN" style="color: black;"> </span><span lang="EN-US" style="color: black;">In this post, my goal is to test the accuracy in reconstructing an initial
topology between maximum parsimony (MP), maximum likelihood (ML) and Bayesian
inference (BI) methods.</span></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;"><br /></span></div>
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<span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">In this study, I simulated the reference topologies through the ape<sup>8</sup> package
using R v3.5.4<sup>9</sup>, for different sample sizes (4,10, 20 and 40
terminals) with all branch lengths equal to 0.5 and 3 replicas. For the DNA
simulation I used </span><span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">Seq-Gen v1.3.4</span><sup style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span lang="EN-US">10</span></sup><span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">, using HKY
model for 10000 characters. </span><span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">For
phylogenetic reconstruction in MP and ML I implemented PAUP* v 4.0<sup>11</sup>.</span><span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;"> For BI I used MrBayes v3.1.2<sup>12</sup> with 10000 generations and
the other parameters set by default. To compare recovered topologies, I chose
Robinson-Foulds distance<sup>13</sup> within phangorn<sup>14 </sup>package.</span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;"><br /></span></div>
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<span lang="EN" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">The MP analysis is carried out under the implicit assumption<sup>15</sup> that
the best estimation of the phylogeny is the shortest tree, given by the number
of evolutionary transformations between the characters<sup>6</sup>. Thus, by
involving the least amount of changes is it being said that evolution is
parsimonious? Its defenders maintain that the only thing that parsimony assumes
is that there has been descent with modification<sup>3</sup>, but this method
does not express a real proposition<sup>15</sup>. Also, when taxa with long branch
are distant by short internal branches, MP would group the long branches
together<sup>16</sup>. ML method uses a criterion-based approach: the best tree
is the one with the highest probability of producing the data we observe<sup>6</sup>,
given a specific evolution model, the topology of the tree and the branch
lengths between nodes<sup>3,15</sup>. ML differs from MP when considering the
length of the branch in relation to a model, but It’s affected when sister taxa
have long branch repulsion<sup>16</sup>. Bayesian inference uses likelihood
calculations, but the probabilities stand by estimating the probability of the
tree topology given the data and the model rather than the probability of
the data given the model and tree </span><span lang="EN-US" style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: small;">topology<sup>6</sup>. Choosing a method makes a practical
difference and knowing which is the best one, does not have a clear answer yet,
each phylogenetic approach has advantages and disadvantages.</span></div>
</div>
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<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: x-small;">Figura 1. RF distance between reference and recovered topologies by MP (maximum parsimony), ML (maximum likelihood) and BI (bayesian inference) methods. A lower distance value reflects a better initial construction. Under this assumption, ML is most accurate approach while BI presents values further away as the number of terminals increases.</span></div>
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<span lang="EN-US" style="color: black;"><span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: small;">In my
results, maximum parsimony and likelihood maintained similar distance values,
but the difference became clearer after 10 terminals, with the lowest distance
being ML (Fig. 1). One common cause of reconstruction error is a short sequence
length<sup>17</sup>, bootstrapping and Bayesian sampling methods provide
possible trees instead of a single-tree estimate, which highly supported
features are regarded as likely features of the true tree<sup>17</sup>.
Previously, I have declared my philosophy with a Bayesian spirit, but at
least to reconstruct the initial topology the largest differences in RF
distance are in it. BI is not only the method less accurate, but the one with
most variation too (Fig. 2). BI explores posterior probability space using MCMC
to find the model/tree topology with the highest posterior probability<sup>6</sup>,
if the initial parameters are not defined correctly, the bias will grow. The
amount of space explored for large terminals required a greater walk, when the
number of terminals was low the topology was completely reconstructed (Fig. 1).
The sum of complex evolutionary models, priors and posterior probabilities<sup>12</sup>
doesn't take away my interest, but in order to give a less erroneous answer and
have a defined position, the experiment could be repeated with a greater number
of generations and a set of more appropriate priors for BI.</span></span><span lang="EN-US" style="color: black; font-family: Times; font-size: 13.5pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: ES-TRAD;"><o:p></o:p></span></div>
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiasPROErqqwJaU_ch-KnKMeKEp5gEaZ8O6lsgV26xLFpJbkcgosZman-QRhJLCtNYxsFc-UGlvpzrU3K5Smj6YJirnw4T19wVeRNZiBVI40e9rLHt2DL5lz__dCHGwY7gwwhE-SNQhXGkB/s1600/Captura+de+pantalla+2019-04-01+a+la%2528s%2529+1.11.56+a.+m..png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="247" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiasPROErqqwJaU_ch-KnKMeKEp5gEaZ8O6lsgV26xLFpJbkcgosZman-QRhJLCtNYxsFc-UGlvpzrU3K5Smj6YJirnw4T19wVeRNZiBVI40e9rLHt2DL5lz__dCHGwY7gwwhE-SNQhXGkB/s320/Captura+de+pantalla+2019-04-01+a+la%2528s%2529+1.11.56+a.+m..png" width="320" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
<span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: x-small;">Figura 2. Variation in RF distance between MP (maximum parsimony), ML (maximum likelihood) and BI (bayesian inference) methods. The pink points represent the mean and brown point represent the outliers of t</span><span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif; font-size: x-small;">he RF distance. A clearer variation in BI is observed.</span></div>
<span style="font-size: small;"><span lang="EN"><span style="font-family: "helvetica neue" , "arial" , "helvetica" , sans-serif;"><br /></span></span></span></div>
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<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Note Heading"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Body Text Indent 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Block Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Hyperlink"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="FollowedHyperlink"/>
<w:LsdException Locked="false" Priority="22" QFormat="true" Name="Strong"/>
<w:LsdException Locked="false" Priority="20" QFormat="true" Name="Emphasis"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Document Map"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Plain Text"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="E-mail Signature"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Top of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Bottom of Form"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal (Web)"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Acronym"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Address"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Cite"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Code"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Definition"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Keyboard"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Preformatted"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Sample"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Typewriter"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="HTML Variable"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Normal Table"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="annotation subject"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="No List"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Outline List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Simple 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Classic 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Colorful 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Columns 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Grid 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 4"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 5"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 6"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 7"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table List 8"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table 3D effects 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Contemporary"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Elegant"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Professional"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Subtle 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 1"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 2"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Web 3"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Balloon Text"/>
<w:LsdException Locked="false" Priority="39" Name="Table Grid"/>
<w:LsdException Locked="false" SemiHidden="true" UnhideWhenUsed="true"
Name="Table Theme"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Placeholder Text"/>
<w:LsdException Locked="false" Priority="1" QFormat="true" Name="No Spacing"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading"/>
<w:LsdException Locked="false" Priority="61" Name="Light List"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 1"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 1"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 1"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 1"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 1"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 1"/>
<w:LsdException Locked="false" SemiHidden="true" Name="Revision"/>
<w:LsdException Locked="false" Priority="34" QFormat="true"
Name="List Paragraph"/>
<w:LsdException Locked="false" Priority="29" QFormat="true" Name="Quote"/>
<w:LsdException Locked="false" Priority="30" QFormat="true"
Name="Intense Quote"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 1"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 1"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 1"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 1"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 1"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 1"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 1"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 1"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 2"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 2"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 2"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 2"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 2"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 2"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 2"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 2"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 2"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 2"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 2"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 2"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 2"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 2"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 3"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 3"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 3"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 3"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 3"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 3"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 3"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 3"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 3"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 3"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 3"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 3"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 3"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 3"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 4"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 4"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 4"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 4"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 4"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 4"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 4"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 4"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 4"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 4"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 4"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 4"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 4"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 4"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 5"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 5"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 5"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 5"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 5"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 5"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 5"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 5"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 5"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 5"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 5"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 5"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 5"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 5"/>
<w:LsdException Locked="false" Priority="60" Name="Light Shading Accent 6"/>
<w:LsdException Locked="false" Priority="61" Name="Light List Accent 6"/>
<w:LsdException Locked="false" Priority="62" Name="Light Grid Accent 6"/>
<w:LsdException Locked="false" Priority="63" Name="Medium Shading 1 Accent 6"/>
<w:LsdException Locked="false" Priority="64" Name="Medium Shading 2 Accent 6"/>
<w:LsdException Locked="false" Priority="65" Name="Medium List 1 Accent 6"/>
<w:LsdException Locked="false" Priority="66" Name="Medium List 2 Accent 6"/>
<w:LsdException Locked="false" Priority="67" Name="Medium Grid 1 Accent 6"/>
<w:LsdException Locked="false" Priority="68" Name="Medium Grid 2 Accent 6"/>
<w:LsdException Locked="false" Priority="69" Name="Medium Grid 3 Accent 6"/>
<w:LsdException Locked="false" Priority="70" Name="Dark List Accent 6"/>
<w:LsdException Locked="false" Priority="71" Name="Colorful Shading Accent 6"/>
<w:LsdException Locked="false" Priority="72" Name="Colorful List Accent 6"/>
<w:LsdException Locked="false" Priority="73" Name="Colorful Grid Accent 6"/>
<w:LsdException Locked="false" Priority="19" QFormat="true"
Name="Subtle Emphasis"/>
<w:LsdException Locked="false" Priority="21" QFormat="true"
Name="Intense Emphasis"/>
<w:LsdException Locked="false" Priority="31" QFormat="true"
Name="Subtle Reference"/>
<w:LsdException Locked="false" Priority="32" QFormat="true"
Name="Intense Reference"/>
<w:LsdException Locked="false" Priority="33" QFormat="true" Name="Book Title"/>
<w:LsdException Locked="false" Priority="37" SemiHidden="true"
UnhideWhenUsed="true" Name="Bibliography"/>
<w:LsdException Locked="false" Priority="39" SemiHidden="true"
UnhideWhenUsed="true" QFormat="true" Name="TOC Heading"/>
<w:LsdException Locked="false" Priority="41" Name="Plain Table 1"/>
<w:LsdException Locked="false" Priority="42" Name="Plain Table 2"/>
<w:LsdException Locked="false" Priority="43" Name="Plain Table 3"/>
<w:LsdException Locked="false" Priority="44" Name="Plain Table 4"/>
<w:LsdException Locked="false" Priority="45" Name="Plain Table 5"/>
<w:LsdException Locked="false" Priority="40" Name="Grid Table Light"/>
<w:LsdException Locked="false" Priority="46" Name="Grid Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="Grid Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="Grid Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="Grid Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="Grid Table 2 Accent 6"/>
<w:LsdException Locked="false" Priority="48" Name="Grid Table 3 Accent 6"/>
<w:LsdException Locked="false" Priority="49" Name="Grid Table 4 Accent 6"/>
<w:LsdException Locked="false" Priority="50" Name="Grid Table 5 Dark Accent 6"/>
<w:LsdException Locked="false" Priority="51"
Name="Grid Table 6 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="52"
Name="Grid Table 7 Colorful Accent 6"/>
<w:LsdException Locked="false" Priority="46" Name="List Table 1 Light"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark"/>
<w:LsdException Locked="false" Priority="51" Name="List Table 6 Colorful"/>
<w:LsdException Locked="false" Priority="52" Name="List Table 7 Colorful"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 1"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 1"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 1"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 1"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 1"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 1"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 2"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 2"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 2"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 2"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 2"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 2"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 3"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 3"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 3"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 3"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 3"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 3"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 4"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 4"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 4"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 4"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 4"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 4"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 5"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 5"/>
<w:LsdException Locked="false" Priority="48" Name="List Table 3 Accent 5"/>
<w:LsdException Locked="false" Priority="49" Name="List Table 4 Accent 5"/>
<w:LsdException Locked="false" Priority="50" Name="List Table 5 Dark Accent 5"/>
<w:LsdException Locked="false" Priority="51"
Name="List Table 6 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="52"
Name="List Table 7 Colorful Accent 5"/>
<w:LsdException Locked="false" Priority="46"
Name="List Table 1 Light Accent 6"/>
<w:LsdException Locked="false" Priority="47" Name="List Table 2 Accent 6"/>
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</style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-68063072957404096572019-03-29T21:55:00.003-07:002019-03-30T21:57:02.053-07:00Can you recuperate the true?<div style="margin-bottom: 0in;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">Recover the “real” topology is an ambiguous terminology, how can we know, that what we get is real? It is impossible. There is another problem, the methods for phylogenetic reconstruction (Parsimony, Maximum Likelihood and Bayes) may give different topologies. When we reconstruct a topology we are testing something, for example, the monophyly hypothesis of a group. Monophyly defined by Henning (1966) as “A monophyletic group comprises all descendants of a group of individuals that at their time belonged to a [...] single biological species” and Ashlock (1971), said to evaluate monophyly, we have to do a cladistic analysis between the terminals and search one or more characters that bear the ancestor and all his descendants. Besides, Ashlock (1972) said: “Cladistic refers to branching sequences and connections within a phylogenetic dendrogram ...” , this clarification makes the concept of monophyly applicable to the cladistic and phenetic schools and, allows to compare topologies from different methods. In this post, I tested the difference between topologies, because I wanted to know which method is accurate, and accurate seen as recovery of real topology. In simple words, which method could give the correct topology.</span></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">As I said before, test something against the reconstruction, and some authors test monophyly of some taxonomic group (De Queiroz & Gauthier, 1990), in this post there is not a taxonomic group, there are reference topologies and I used there to simulate molecular data. I used Ape in R (Paradis and Schliep, 2018) to generated the reference topologies, with different terminal size (5, 10, 20, 30 and 40 terminals) and the branch lengths were all fixed to 0.5, I simulated 3 topologies for each terminal size. For DNA simulation, I used seq-gen v1.3.4 (Rambaut and Grass, 1997) under HKY model and for 10000 characters. Phylogenetic reconstructions were run under Parsimony, Maximum Likelihood, and Bayesian methodologies. In Parsimony I applied two approaches, linear and concave (implicit weight), both in TNT (Goloboff et al., 2008). ML approach was run in RaxML-NG (Kozlov et al., 2018) with two configurations, all by default and using model selected by AIC. And for Bayesian I used MrBayes 3 (Ronquist and Huelsenbeck, 2003) with GTR+Gamma model for 10000 generations and 4 chains, others parameters was running under “by default”. For compare the topologies recovered, I calculated Robinson-Foulds distance in Phytools R packages (Revell, 2012), ever comparing the reconstruction against the reference topology. All scripts are available in https://github.com/andres1898/post2.</span></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">In figure 1, the methods behave in a similar way, the RF distance increase when there are more terminals. ML looks great, I mean, yeah it has difference against the topology reference but the value are below 20 and there are just two fair values that correspond to one replica. Now, if we see the two approaches of ML, there is no real difference, so the model did not influence. Parsimony looks more scattered than ML but less than Bayes, and inside it, again, there is no difference between linear or concave weight, also the RF distance is less than 20 but it has farther values than ML. And Bayes looks very dispersed and has the highest values of RF distance.</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5VRe1iNPXp3u1HWL-wtlIlFjEmQL-9-yyMezU_cZkZXn1D7Vhoj8HJ7BcgaySJntJyVvDdhudkNvfmFna_Nlsly7lrpOKr-UfO0mbwX5P8PAXTEpqakf4c8vY8BXgBfPMILNXUDun1Kcv/s1600/final.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1328" data-original-width="1600" height="530" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5VRe1iNPXp3u1HWL-wtlIlFjEmQL-9-yyMezU_cZkZXn1D7Vhoj8HJ7BcgaySJntJyVvDdhudkNvfmFna_Nlsly7lrpOKr-UfO0mbwX5P8PAXTEpqakf4c8vY8BXgBfPMILNXUDun1Kcv/s640/final.png" width="640" /></a></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">Figure 2 is better to see the behavior of the methods, Bayes is the most dispersal, followed by Parsimony and the last is ML, but why? For the poor accuracy of Bayes, there is just one explication, the flat priors. In Bayes inference is so important to choose the correct prior (Huelsenbeck, 2002) but one is more important, the topological prior, these prior described how the tree is building and the nucleotide substitution model can change between the branches and nodes (Yang and Rannala, 1997). In this post I specified the model as the number of substitution state and rates, the other priors were by default. Topological prior is flat, meaning all topologies were equally likely, this is a problem because the number of generation need to be higher to explore all topology space (Pickett and Randle, 2005). In my case, there are just 10000 generations, so maybe the all possible topologies were not explored and when the terminals increase, also increase the possible topologies. In addition, these could explain that accuracy is better (less RF distance) when the number of terminals is small.</span></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">Parsimony looks great, for me, that result was a surprise, I thought parsimony would be the worst or would present the highest values of RF distance, but no. This high accuracy could be because of the data simulation process/parameters and the size of the molecular matrix. Parsimony gets low RF distance because of its behavior as ML approach, this because of the simple model used (Goloboff, 2003), the lack of long branch lengths and a large character matrix (Kim, 1993). That is my stage, a simple model of substitution bases, constant branch lengths without long branches, and big data matrix. Another curiosity is there is no difference between linear and concave weights, that because I only interest about the topologies and explained by Goloboff (1993), use differential weights impacts the length of the final tree and decreases homoplasy, and that could influence the topology or not.</span></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">Some problems of Maximum Likelihood is the tree search (Russo et al., 1996), some programs as PAUP, explores a lot the tree space and next makes a perturbation (for example NNI) (Swofford, 2001) that slows down the analysis and could restring the tree space. RaxML-NG implements a search with parsimony and heuristic start trees, and for each tree makes an SPR perturbation at different levels, that improves the speed to find the Maximal Likelihood topology (Kozlov et al., 2018). So this intense search could make ML the most accurate method. By the other hand, models are crucial in ML (Huelsenbeck and Crandall, 1997), but in this post, there is no real difference, because the simulation model was simple and the branch lengths were constant and, there were not long branches.</span></span></div>
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<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;"><span style="font-family: Verdana, sans-serif;">Finally, I conclude that Maximum Likelihood is the best approach, but working in RaxML-NG, I know that I did not evaluate other programs but in the literature, there are many articles that criticize the computation time of the analyses in other programs like PAUP or MEGA, in other hand, programs like PhyML could give the same accuracy and compute time. ML was the method that presented the least RF distance in all terminal sizes, that's mean it has the best accuracy; and was insensible to the model selection. In addition, the Bayesian approach was the method I defended in anterior post, but in this post I saw the difficult to choose correct priors and the sensibility to the number of generation, a good Bayes analysis could take more time to explore priors and perform the computations, so for fast analyses and good accuracy I prefer now ML.</span></span></div>
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<span style="color: black;"><span style="font-size: small;"><span style="font-weight: normal;">References</span></span></span></div>
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<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Ashlock, P. D. (1971). Monophyly and associated terms. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Systematic Biology</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>20</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(1), 63-69.</span></span></span></div>
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<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Ashlock, P. D. (1972). Monophyly again. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Systematic Zoology</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>21</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(4), 430-438.</span></span></span></div>
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<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">De Queiroz, K., & Gauthier, J. (1990). Phylogeny as a central principle in taxonomy: phylogenetic definitions of taxon names. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Systematic zoology</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>39</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(4), 307-322.</span></span></span></div>
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<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Goloboff, P. A. (2003). Parsimony, likelihood, and simplicity. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Cladistics</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>19</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(2), 91-103.</span></span></span></div>
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<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Goloboff, P. A., Farris, J. S., & Nixon, K. C. (2008). TNT, a free program for phylogenetic analysis. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Cladistics</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>24</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(5), 774-786. </span></span></span> </div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">HENNIG, W. 1966. Phylogenetic systematics. University of Illinois Press, Urbana.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Huelsenbeck, J. P., & Crandall, K. A. (1997). Phylogeny estimation and hypothesis testing using maximum likelihood. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Annual Review of Ecology and systematics</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>28</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(1), 437-466.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Huelsenbeck, J. P., Larget, B., Miller, R. E., & Ronquist, F. (2002). Potential applications and pitfalls of Bayesian inference of phylogeny. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Systematic biology</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>51</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(5), 673-688.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Kim, J. (1993). Improving the accuracy of phylogenetic estimation by combining different methods. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Systematic Biology</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>42</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(3), 331-340.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Kozlov, A., Darriba, D., Flouri, T., Morel, B., & Stamatakis, A. (2018). RAxML-NG: A fast, scalable, and user-friendly tool for maximum likelihood phylogenetic inference. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>BioRxiv</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, 447110. </span></span></span> </div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Kozlov, A., Darriba, D., Flouri, T., Morel, B., & Stamatakis, A. (2018). RAxML-NG: A fast, scalable, and user-friendly tool for maximum likelihood phylogenetic inference. BioRxiv: 447110.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Paradis E. & Schliep K. 2018. ape 5.0: an environment for modern phylogenetics and evolutionary analyses in R. Bioinformatics 35: 526-528.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Pickett, K. M., & Randle, C. P. (2005). Strange Bayes indeed: uniform topological priors imply non-uniform clade priors. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Molecular phylogenetics and evolution</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>34</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(1), 203-211.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Rambaut, A., & Grass, N. C. (1997). Seq-Gen: an application for the Monte Carlo simulation of DNA sequence evolution along phylogenetic trees. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Bioinformatics</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>13</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(3), 235-238.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Revell, L. J. (2012) phytools: An R package for phylogenetic comparative biology (and other things). </span></span></span><em><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Methods Ecol. Evol.</span></span></span></em><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, 3, 217-223.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Robinson, D. R.; Foulds, L. R. (1981). "Comparison of phylogenetic trees". </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Mathematical Biosciences</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><b>53 </b></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;">(1–2): 131–147.</span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Ronquist, F., and J.P. Huelsenbeck. 2003. MRBAYES 3: Bayesian phylogenetic inference under mixed models. Bioinformatics 19:1572-1574.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Russo, C. A., Takezaki, N., & Nei, M. (1996). Efficiencies of different genes and different tree-building methods in recovering a known vertebrate phylogeny. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Molecular biology and evolution</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>13</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(3), 525-536.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Russo, C. A., Takezaki, N., & Nei, M. (1996). Efficiencies of different genes and different tree-building methods in recovering a known vertebrate phylogeny. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Molecular biology and evolution</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>13</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(3), 525-536.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Swofford, D. L. (2001). Paup*: Phylogenetic analysis using parsimony (and other methods) 4.0. B5.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">Yang, Z., & Rannala, B. (1997). Bayesian phylogenetic inference using DNA sequences: a Markov Chain Monte Carlo method. </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>Molecular biology and evolution</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">, </span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;"><i>14</i></span></span></span><span style="font-variant-east-asian: normal; font-variant-numeric: normal;"><span style="color: black;"><span style="font-size: 12pt;">(7), 717-724.</span></span></span></div>
</li>
<li>
<div align="justify" class="western" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-variant-east-asian: normal; font-variant-numeric: normal;">Github site for script </span><u><span style="color: blue;">https://github.com/andres1898/post2</span></u></div>
</li>
</ol>
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<style type="text/css"> @page { margin: 0.79in } p { margin-bottom: 0.1in; direction: ltr; color: #000000; line-height: 115%; text-align: left; orphans: 2; widows: 2 } p.western { font-family: "Liberation Serif", serif; font-size: 12pt; so-language: en-US } p.cjk { font-family: "Noto Sans CJK SC Regular"; font-size: 12pt; so-language: zh-CN } p.ctl { font-family: "Lohit Devanagari"; font-size: 12pt; so-language: hi-IN } </style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-913253230370552912019-02-16T19:44:00.000-08:002019-02-23T07:11:50.115-08:00Philosophy postures in systematics: Which is the best approach to do science?<style type="text/css">
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<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-size: small;">The
diversity of viewpoints and positions around all study topics is
very important in the science world. This variety thoughts
allows to evaluate different perspectives of the same problem using
different methodologies, and generate a great framework (Pavese
and De Bièvre, 2015). Nevertheless, science must go
hand in hand with objectivity (Hanna, 2004), therefore we
must ask ourselves, which is the best approach to carry out
scientific research?</span></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<br /></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-size: small;">Firstly,
we must located on a radical idea: Falsification (Popper,
2002a). For this Popperian vision we only know what we
don’t know, thus, being literals, it’s impossible discover
absolutes trues, and we can only corroborate and falsify
hypotheses (Popper, 2002b). My viewpoint about Popper’s
falsification in science is: we must use it only as
a reminder of why we shouldn't take for granted the current
theories, thus, the search of knowledge remains
standing. However, beyond this last idea, I don’t think
Popper’s thought has a direct applicability nowadays.</span></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<br /></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-size: small;">Now,
we can understand that the impulse of science is to understand more
and more things, but, how do we trust what we know? The
knowledge search through science needs statistics, and
frequentists with their classical interpretation of probability
based on finite observations of experimental events, have contributed
greatly (Bayarri and Berger, 2004). Nevertheless, this
vision can generate problems like wrong interpretations or the
impossibility of assign probabilities to unrepeatable
events (Bayarri and Berger, 2004; Box and Tiao,
1992). Moreover, Bayesian vision doesn’t have these problems being
a better option because probabilities are based on
a <i>prior</i> knowledge, it means, there is always
uncertainly because we never know all facts but we can assign
a value of how much knowledge have about results (Briggs,
1999; Schoot <i>et al</i>., 2014). </span></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<br /></div>
<div style="line-height: 100%; margin-bottom: 0in; text-align: justify;">
<span style="font-size: small;">For
this reason, I must emphasize that we can’t know everything but we
can know a lot, therefore, methods based on the Bayesian philosophy,
give us, in my opinion, the best approximation to the scientific
truth, especially in systematics, where the evolutionary history
is a large set of inferences.</span></div>
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<br />
References<br />
<br />
<span style="font-family: "times" , "times new roman" , serif;">- Bayarri, M. J. and Berger, J. O. (2004). The interplay of Bayesian and frequestist analysis. <i>Statistical Science,</i> <i>19</i>(1), 58-80.</span></div>
</div>
<div style="line-height: 120%; margin-bottom: 0.1in;">
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- Briggs,
A.H. (1999). A Bayesian approach to stochastic cost‐effectiveness
analysis. </span><i>Health Econ.</i><span style="font-family: "liberation serif" , serif;">, </span><i>18</i><span style="font-family: "liberation serif" , serif;">, 257-261.
doi:10.1002/(SICI)1099-1050(199905)8:3<257::AID-HEC427>3.0.CO;2-E</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- Box,
G. E. and Tiao, G. C. (1992). </span><i>Bayesian inference in
statistical analysis. </i><span style="font-family: "liberation serif" , serif;">New York: John Wiley &
Sons.</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- Hanna,
J. (2004). The Scope and Limits of Scientific Objectivity. </span><i>Philosophy
of Science</i><span style="font-family: "liberation serif" , serif;">, </span><i>71</i><span style="font-family: "liberation serif" , serif;">(3), 339-361. doi:10.1086/421537</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- Pavese, F. and
De Bièvre, P. (2015). Fostering diversity of thought in
measurement science. In F. Pavese, W. Bremser, A. Chunovkina, N.
Fischer and A. Forbes (Ed.), </span><i>Advanced Mathematical and
Computational Tools in Metrology and Testing X </i><span style="font-family: "liberation serif" , serif;">(pp.
1–8). Singapore: World Scientific</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- Popper,
K. (2002a). </span><i>The logic of scientific
discovery</i><span style="font-family: "liberation serif" , serif;">. London, England:
Routledge. doi:https://doi.org/10.4324/9780203994627</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;"><span style="font-family: "liberation serif" , serif;">- </span><span style="font-family: "liberation serif" , serif;">Popper,
K. (2002b). </span><i><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial;">Conjectures
and refutations: The growth of scientific knowledge</span></i><span style="font-family: "liberation serif" , serif;">.
London, England:
Routledge. doi:https://doi.org/10.4324/9780203538074</span></span></div>
<div style="line-height: 0.2in; margin-bottom: 0.1in; orphans: 2; widows: 2;">
<span style="font-family: "times" , "times new roman" , serif;">- Schoot,
R., Kaplan, D., Denissen, J., Asendorpf, J. B., Neyer, F. J. and
Aken, M. A. (2014). A Gentle Introduction to Bayesian Analysis:
Applications to Developmental Research. <i>Child Dev</i>, 85,
842-860. doi:10.1111/cdev.12169</span></div>
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</style>Unknownnoreply@blogger.com2tag:blogger.com,1999:blog-8785560527675700170.post-25902229811966672482019-02-16T13:31:00.002-08:002019-03-23T07:08:41.414-07:00Philosophy and Systematics<br />
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<span style="font-size: small;"><span style="font-family: "times" , "times new roman" , serif;"><span lang="EN-US">When we think the role of philosophy in systematics, we can talk about Popperian falsification and corroboration, frequentism and Bayesian philosophy different philosophical currents, bases for phylogenetic methods. However, if we want to know the relations between groups of organism, which one is the better current to do phylogeny? </span></span></span></div>
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<span style="font-size: small;"><span style="font-family: "times" , "times new roman" , serif;">
</span></span><br />
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<span style="font-size: small;"><span style="font-family: "times" , "times new roman" , serif;"><span lang="EN-US">Popperian falsification and corroboration never search the best classification </span></span></span><span style="font-size: small;"><span style="font-family: "times" , "times new roman" , serif;"><span lang="EN-US">hypothesis</span></span></span><span style="font-size: small;"><span style="font-family: "times" , "times new roman" , serif;"><span lang="EN-US">, it looks hypothesis with the highest degree of corroboration (Bock, 1973); in other way frequentism has a statistical approach, assess <span class="tlid-translation">the expected frequencies of good and bad results of a repeated number of measures (Sober, 2008;</span> <span class="tlid-translation">VanderPlas, 2014).</span> As frequestism, Bayesian philosophy based on statistics, but using <i>a priori</i> and a <i>posteriori </i>probabilities (degrees of knowledge) that let us include ranks of certainty about statements (Stevens, 2006).</span></span></span></div>
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<span class="tlid-translation"><span lang="EN-US" style="mso-ansi-language: EN-US;">Bock, W. J. (1973). Philosophical foundations of classical evolutionary classification. <i style="mso-bidi-font-style: normal;">Systematic Zoology. Vol. 22</i> (4), 375–392.</span></span></div>
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<span class="tlid-translation"><span lang="EN-US" style="mso-ansi-language: EN-US;">Farris, J. (2012). Popper: not Bayes or Rieppel. <i style="mso-bidi-font-style: normal;">Cladistics</i>. </span></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">Ronquist, F. Huelsenbeck, J. P. Britton, T. (2004). Bayesian supertrees. In Bininda-Emonds, O. R. P. <i style="mso-bidi-font-style: normal;">Phylogenetic Supertrees: Combining Information to Reveal the Tree of Life</i>. Amsterdam, <span class="tlid-translation">Netherlands. Kluwer.</span></span></div>
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<span lang="EN-US" style="mso-ansi-language: EN-US;">Sober, E. (2008). <i style="mso-bidi-font-style: normal;">Evidence and Evolution: The logic behind the science</i>. New York, United States of America. Cambridge University Press.</span></div>
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<span class="tlid-translation"><span lang="EN-US" style="mso-ansi-language: EN-US;">Stevens, M. (2006). The Bayesian Approach to the Philosophy of Science. In </span></span><span lang="EN-US" style="mso-ansi-language: EN-US;">Borchert, D. (Ed.),<i style="mso-bidi-font-style: normal;"> <span class="tlid-translation">The Encyclopedia of Philosophy</span></i>. Michigan, United States of America. Thompson Gale.</span></div>
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<span class="tlid-translation"><span lang="EN-US" style="mso-ansi-language: EN-US;">VanderPlas, J. (2014). Frequentism and Bayesianism: A Practical Introduction, Part III. <i style="mso-bidi-font-style: normal;">Pythonic Perambulations</i>. Visible in: http://jakevdp.github.io/blog/2014/06/12/frequentism-and-bayesianism-3-confidence-credibility/</span></span></div>
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<br />Unknownnoreply@blogger.com2tag:blogger.com,1999:blog-8785560527675700170.post-3805269528584376692019-02-16T12:15:00.002-08:002019-02-16T12:23:20.422-08:00Me and the comparative biology<style type="text/css">
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<span class="s1">Systematics as a discipline, plays an important role in comparative biology, it allows us to understand species phylogenetic history, taking into account their evolutionary processes and patterns</span><span class="s2"><sup>1</sup></span><span class="s1">. There is a universe of philosophical ideas discussed in the systematic literature, where even the reasoning process from data, to the final tree hypothesis can have a direct impact on our phylogenetic analyzes</span><span class="s2"><sup>1-2</sup></span><span class="s1">. Hence, having a philosophical position should be the beginning to our study</span><span class="s2"><sup>2</sup></span><span class="s1">, how we know what we know and how we decided to address that knowledge has been debated along history</span><span class="s2"><sup>3</sup></span><span class="s1">.<span class="Apple-converted-space"> </span></span></div>
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<span class="s1">knowledge understood as the data obtained from the evidence, made me choose an induction approach, where multiple instances observed of a phenomenon will lead us to a more general view, in spite of deductivism, that falls into a syllogism</span><span class="s2"><sup>2</sup></span><span class="s1">. The contemporary systematics employs different forms of logic in combined forms nowadays</span><span class="s2"><sup>2,4</sup></span><span class="s1">. Therefore, the method that best fits my scientific inference is a Bayesian approach, the analyzes can rarely be sure of a result, but they can be very safe. Its inference differs from traditional statistical inference in preserving uncertainty</span><span class="s2"><sup>5-7</sup></span><span class="s1">.</span></div>
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<span class="s1">First, in order to carry out the respective phylogenetic analyzes, it’s necessary to define the research question of interest. The conceptual framework needs to be clarified and subsequently, generate a quantifiable hypothesis</span><span class="s2"><sup>6-7</sup></span><span class="s1">, the probability of how possible it’s depends on all previous information available. Observation alone can not give a posterior probability, we need to have a prior probability as well</span><span class="s2"><sup>3,6-7</sup></span><span class="s1">. Also, it’s necessary the establishment of interest parameters given our current data and models. The choice of a prior is based on how much information we believe we have prior to the data, and how accurate we believe that information to be</span><span class="s2"><sup>6-7</sup></span><span class="s1">. Therefore, the posterior distribution reflects our updated knowledge, balancing prior knowledge with observed data</span><span class="s2"><sup>7</sup></span><span class="s1">.<span class="Apple-converted-space"> </span></span></div>
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<span class="s1">The use of Bayesian statistics allows us, to update knowledge instead of testing a null hypothesis over and over again. If the evidence changes, knowledge will also change or be more reliable</span><span class="s2"><sup>3,6,8-9</sup></span><span class="s1">, thus that’s why I prefer it.</span></div>
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<span class="s1"><span style="font-size: xx-small;">1. Funk, V. & Brooks, D. <i>Phylogenetic systematics as the basis of comparative biology</i>. (Smithsonian Institution Press, 1993).<span class="Apple-converted-space"> </span></span></span></div>
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<span class="s1"><span style="font-size: xx-small;">2<i>. </i>Wiley, E. & Lieberman, B. <i>Phylogenetics: Theory and Practice of Phylogenetic Systematics. (John Wiley & Sons, 2011).</i></span></span></div>
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<span class="s1"><span style="font-size: xx-small;">3. Sober, E. <i>Evidence and Evolution: The Logic Behind the Science. </i>3-107 (Cambridge University Press, 2008).</span></span></div>
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<span class="s1"><span style="font-size: xx-small;">4. Hume, D. 1748. <i>An Enquiry concerning Human Understanding, T</i>. Cadell, London.</span></span></div>
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<span class="s1"><span style="font-size: xx-small;">5. Glickman, M. & Dyk, D. Basic Bayesian Methods. <i>Topics in Biostatistics </i>319-338 (2007). doi:10.1007/978-1-59745-530-5_16</span></span></div>
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<span class="s1"><span style="font-size: xx-small;">6. Van de Schoot, R. et al. A Gentle Introduction to Bayesian Analysis: Applications to Developmental Research. <i>Child Development </i>85, 842-860 (2013).</span></span></div>
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<span class="s1"><span style="font-size: xx-small;">7. Smith, A., Skene, A., Shaw, J., Naylor, J. & Dransfield, M. The implementation of the bayesian paradigm. <i>Communications in Statistics - Theory and Methods </i>14, 1079- 1102 (1985).</span></span></div>
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<span class="s1"><span style="font-size: xx-small;">8. Gelman, A. Simulation of a Statistics Blogosphere - Statistical Modeling, Causal Inference, and Social Science.<i> </i>(2010). At https://andrewgelman.com/2010/03/22/simulation_of_a/<span class="Apple-converted-space"> </span></span></span></div>
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<span class="s1"><span style="font-size: xx-small;">9. Cameron, D.<i>Bayesian Methods for Hackers: Probabilistic Programming and Bayesian Inference (Addison-Wesley Data & Analytics)</i>. (Addison-Wesley Professional, 2015).<span class="Apple-converted-space"> </span></span></span></div>
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Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-8785560527675700170.post-88768521916571627572019-02-15T08:42:00.000-08:002019-02-20T14:52:11.847-08:00Bayesian's philosophy on Systematics<div class="western" style="line-height: 100%; margin-bottom: 0.08in; margin-top: 0.08in; text-align: justify;">
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: small;"><span style="font-weight: normal;">First, I’ll talk about the ideas and how we obtain them. Idea is defined as "an understanding, though, or picture in your mind" by Cambridge Dictionary (1), so I considered an idea as something that we obtained from previous knowledge but, how we get this knowledge? For that let's talk about Tolksdorf (2), he takes two different views and confronts them, the first is the knowledge as things that you can do, that suggest that theories are no-knowledge; the second defines knowledge as a cycle where you know that you really know. The author proposes knowledge as a thing that helps us to change from "beliefs" to "performance". So, in my opinion, the knowledge is based on experience, and theories are real-knowledge when are based on real data, that look more like the prospect of Plato (3), when he use epistemic analysis to differentiate between real stage with different opinion and which one is true; and look too like a kind of inductivism but explained by Hurley (4) where theories resulting from induction have a probability to be true or not.</span></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif;"><span style="font-size: small;"><span style="font-weight: normal;">The knowledge its taken as evidence for some theories but, how we test that theories or hypothesis? Well, to test hypothesis has to be based on personal postured, here I will talk about Bayesianism because it's my way to think. Maybe could be contradictory think to inductivism and Bayesian at the same time (5), but I referred to inductivism as the source of knowledge and Bayesian is the methodology to test a hypothesis based on prior knowledge (6). </span></span> </span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: small;"><span style="font-weight: normal;">So, how Bayesian works? Bayesian approach is "personal choice statistic" (7), firstly we have the empirical data and then we chose a prior, secondly evaluate how prior model your data and then calculate the posterior probability, that says how "good" or "bad" is your hypothesis for your data. A prior is a distribution's prospect for your data, here is the "personal choice", there are so many articles that develop this theme of choice prior (8) and the most are based on prior information and parameters assumption, but it's not my objective talk about this theme.</span></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: small;"><span style="font-weight: normal;">Given the above definitions of knowledge and Bayesian approach, therefore it’s time to discuss Systematics and Bayesian phylogenetics. Systematics is the discipline of biology that compares biological progress between animal, plants and all life's forms (9). Phylogenetic analysis studies the relationship between the organism and its principal aim is to find the common history and this could derive in a classification of species or clades -taxonomy- (10). Finally, Bayesian phylogenetics takes other statistics such as likelihood to estimate their prior tree and compare with data -evince of common history- (11), it seems to me a good way to estimate the true relationship between taxa. Furthermore, there's another conflict in phylogenetics relationship, how find the true phylogeny? That is impossible because the relationship could change even when we add or change data or evaluate different species (12). Finally, we just have probabilities, because we can't model all variables of evolution, and we won't ever know is that the real truth, this is the reason that I use the Bayesian approach to evaluate a phylogenetic hypothesis.</span></span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(1) Idea Meaning in the Cambridge English Dictionary. (n.d.). Retrieved September, 2018, from https://dictionary.cambridge.org/dictionary/english/idea</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(2) Hetherington, S. (2011). Chapter One Knowledge, Ability, and Manifestation. In Conceptions of Knowledge (Vol. 4). Berlin, Germany: Technische Universität Berlin Institut für Philosophie.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(3) Plato. Book I, 344c. Plato Republic. Indianapolis: Hackett.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(4) Hurley, P. (2014).Chapter One: Basic Concepts. in A concise introduction to logic (Vol. 7). Nelson Education. pp 33-39</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(5) Dorling, J., & Miller, D. (1981). Bayesian Personalism, Falsificationism, and the Problem of Induction. Proceedings of the Aristotelian Society, Supplementary Volumes, 55, 109-141.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(6) Hawthorne, J. (1993). Bayesian induction is eliminative induction. Philosophical Topics, 21(1), 99-138.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(7) Fienberg, S. E. (2006). When did Bayesian inference become" Bayesian"?. Bayesian analysis, 6-20.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(8) Yang, Z. (2008). Empirical evaluation of a prior for Bayesian phylogenetic inference. Philosophical Transactions of the Royal Society of London B: Biological Sciences, 363(1512), 4031-4039.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(9) Kitching, I. J., Forey, P. L., Williams, D., & Humphries, C. (1998). Chapter One: Introduction. in Cladistics: the theory and practice of parsimony analysis (No. 11). Oxford University Press, USA.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(10) Futuyama, D. (2005) Chapter Two: Phylogeny. in Evolutionary Biology (3 ed.). New York: W.H. Freeman.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(11) Huelsenbeck, J. P., Rannala, B. and Masly, P. () An Introduction to Bayesian Inference of Phylogeny. Rochester: Department of Biology, University of Rochester.</span></div>
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<span style="font-family: Helvetica Neue, Arial, Helvetica, sans-serif; font-size: x-small;">(12) Nascimento, F. F., dos Reis, M., & Yang, Z. (2017). A biologist’s guide to Bayesian phylogenetic analysis. Nature ecology & evolution, 1(10), 1446.</span></div>
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Both Maximum Likelihood (ML) and Bayesian Inference (IB) use evolutionary models, which are used to <span style="background-color: yellow;">predict</span> substitution rates in molecular sequences (through probabilities) along the branches of a phylogenetic tree. That is, a substitution model describes the process by means of which a sequence of characters is transformed into another set of homologous states over time (Lio and Goldman, 1998). ML and IB are based on the Likelihood function, which needs explicit models of evolution to capture the underlying evolutionary processes of the sequence data (Lou et al, 2010). The majority of models taken into account in these two methodological approaches consist of modifications of the GTR model, in which both the nucleotide change and the frequency thereof can take different values (Huelsenbeck et al, 2004). Given that the evolutionary model chosen for the ML and IB analyzes can exert significant influence on the obtained phylogenetic tree (Lou et al, 2010); I propose to evaluate the sensitivity of THE? phylogenetic reconstruction to the choice of the evolutionary model under the ML method, as well as the effectiveness of the information and hLRT criteria.</div>
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Initially, a topology for a ten-terminal ultrametric tree was generated randomly, from which ten nucleotide sequences were simulated, with a total length of 1000 bp according to each parameter to be taken into account, generating three Groups "Models", "Models + G "," Models + I "and" Models + G + I ", each and every one of them in the <span style="color: black;"><span style="background: transparent;">SeqGen software </span></span><span style="color: black;"><span style="font-family: "lucida sans" , "arial" , "helvetica" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">v1.3.4</span></span></span></span></span></span></span><span style="color: black;"><span style="background: transparent;">.</span></span></div>
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For each group, the models to be taken into account were JC, K2P, F81, HKY, GTR. After having the nucleotide sequences the trees were reconstructed under the ML method, with ten replications in <span style="background: transparent;">PhyML </span><span style="background: transparent;">v3.1</span><span style="background: transparent;">.</span> The comparison of "Models" with respect to the rest of the groups was made through the Robinson-Foulds metric or symmetric difference.</div>
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Regarding the evaluation of the information criteria (BIC and AIC) and hLRT, the evolutionary model was calculated in <span style="background: transparent;">JmodelTest </span><span style="background: transparent;">v2.1.10</span>, reporting reporting the number of models found that corresponded to the initial models with which the sequences were calculated, as well as the frequency in which each model and group was recovered according to the criteria.</div>
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The evaluation of the models by group reports that the group "Model" and "Model_G" are the ones that present lower values of RF with respect to all the evolutionary models evaluated, these being, therefore, the most similar to the reference topology indicating that if At the moment of choosing the evolutionary model for a phylogenetic reconstruction, parameters such as I or I + G could be considered, adding noise, generating not so true topologies (Fig. 1). Likewise, the models, in general, show a similar behavior with respect to the RF values (Fig. 1), however, it is worth highlighting the particular model of JC that under the groups "Models" and "Models_G" are the most similar to the reference topology, perhaps because of the simplicity of it. However, it is important to keep in mind that these particular models depend very much on the heterogeneity given by the nucleotide sequence.</div>
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<img align="left" border="0" height="435" name="Image1" 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" width="665" />
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Fig 1. RF values for each model, according to the group given the reference topology.</div>
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The F81 model presented higher frequency with respect to the BIC criterion and, together with the GTR, it presented the highest frequency with respect to the AIC and hLRT criteria. In general, the frequency values for the different criteria were relatively similar, highlighting some differences in criteria such as BIC with F81 and AIC with HKY (Fig. 2). Likewise, F81 is the model reported by the criteria that coincides to a greater extent with respect to the initial models given by the calculated sequence (Fig 3.). With the exception of some particular cases, it could be said that in general the three criteria evaluated - or at least two of them in some cases - will always tend to choose the same model, being rare the case in which the three criteria choose models completely different, which agrees with that reported by Luo et al (2010) and Ripplinger et al, (2008).</div>
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" width="665" />
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Fig 2. Frequency of the models found by each criterion.</div>
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" width="665" /> Fig 3. Frequency of the models by criteria given the models initially proposed by the nucleotide sequences.</div>
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Criteria such as AIC and BIC tend to choose between models with less variation, likewise hLRT tends to choose models with more parameters such as G, I and I + G (Fig. 4). It should also be noted that among the models with more parameters, AIC and BIC always tend to choose those with the lowest possible variation, such as Model + G or Model + I, with Models + G + I being the one with the lowest frequency. The three criteria find the group "Models" as the one that most matches the initial models proposed with the sequences (Fig. 5).</div>
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" width="665" />
</div>
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Fig 4. Frequency of the groups given all the criteria used.</div>
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" width="665" />Fig 5. Groups with higher frequency by criteria given the groups initially proposed by the nucleotide sequences.</div>
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<span style="font-size: x-small;"> References</span></div>
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<span style="font-size: x-small;"> -Lu<span style="border: none; display: inline-block; padding: 0in;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">o et al </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">(2010)</span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">. Performance of criteria for selecting evolutionary models in phylogenetics: a comprehensive study based on simulated datasets. BMC Evolutionary Biology. 10: 242.</span></span></span></span></span></div>
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<span style="border: none; display: inline-block; padding: 0in;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">- </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">R</span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">ipplinger J, Sullivan J </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">(2008). </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">Does choice in model selection affect maximum likelihood analysis? Syst Biol, 57 :76-85.</span></span></span></span></span></div>
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<span style="border: none; display: inline-block; padding: 0in;"><span style="font-size: x-small;">- Posada D, Crandall KA (2001) Selecting the best-fit model of nucleotide substitution. Syst Biol, 50 :580-601.</span></span></div>
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<span style="border: none; display: inline-block; padding: 0in;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">- Posada D </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">(2008).</span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;"> jModelTest phylogenetic model averaging. Mol Biol Evol. 25 :1253-1256.</span></span></span></span></span></div>
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<span style="border: none; display: inline-block; padding: 0in;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="background: transparent;"><span style="font-variant: normal;">- Ramba</span></span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">ut A, Grassly NC </span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;">(1997).</span></span></span><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-variant: normal;"> Seq-Gen: an application for the Monte Carlo simulation of DNA sequence evolution along phylogenetic trees. Comput Appl Biosci, 13 :235-238.</span></span></span></span></span></div>
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<span style="font-size: x-small;"><span style="border: none; display: inline-block; padding: 0in;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="font-variant: normal;">- </span></span></span></span></span>Guindon S. et al. (2010). New Algorithms and Methods to Estimate Maximum-Likelihood Phylogenies: Assessing the Performance of PhyML 3.0. Systematic Biology, 59(3):307-21.</span></div>
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-83533619442383067222017-12-18T05:39:00.000-08:002017-12-18T05:39:35.409-08:00Character Weighting on Binary Data<div style="font-style: normal; font-variant: normal; line-height: 138%; margin-bottom: 0cm; text-decoration: none;">
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><b><span style="background: transparent;">Introduction</span></b></span></span></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent;"><span style="font-weight: normal;">Homoplasy
is understood as similarity between taxa because of convergence
or-not parallel coancestría- </span><span style="font-weight: normal;">(Rendall
& Di Fiore, 2007)</span><span style="font-weight: normal;">, in
contrast to the phylogenetic definition of homology where one
character is similar due there was a common ancestor between two taxa
</span><span style="font-weight: normal;">(Vogt & Vogt, 2002)</span><span style="font-weight: normal;">.
Farris </span><span style="font-weight: normal;">(Farris, 1983)</span><span style="font-weight: normal;">
established the neative relationship between homoplasy and search for
the most parsimonious tree. Therefore, taking into account the
homoplasy of each character would be useful when corroborating
phylogenetic hypotheses. The implicit weighing consists of assigning
weight to the characters according to their adjustment to the tree
that best fits the character. Therefore, the weight of a character
will be a value based on its homoplasy </span><span style="font-weight: normal;">(Goloboff,
1993).</span><span style="font-weight: normal;"></span></span></span></span></span></div>
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<span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><b><span style="background: transparent;">Methods</span></b></span></span></span></span></span></span></div>
<div align="justify" style="line-height: 120%; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">A
tree of 20 terminals without branch length was generated using the
"APE" package in software R </span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">(Paradis,
2012)</span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">,
then a binary morphological data was simulated in the Mesquite
3.31 software under the mk1 model </span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">(Lewis,
2001)</span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">.
Three matrices of 100, 500 and 1000 characters were generated. The
maximum parsimony analysis with implicit weighing was made in the
software TNT</span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">
</span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">(Goloboff,
Farris, & Nixon, 2008)</span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;"></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">
under different values of concavity (k = 3, k = 9, k = 15, k = 30, k
= 500 and k = 999), additionally it was compared with a search
without weighing. Finally, to compare the differences between the
topologies obtained, the method proposed by Robinson and Foulds in
1981 was used .</span></span></span></span></span></span></span></span></div>
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<br />
<br /></div>
<div align="justify" style="line-height: 138%; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><b><span style="background: transparent;">Results
and Discussion </span></b></span></span></span></span></span></span>
</div>
<div align="justify" style="line-height: 138%; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">The
minimum value of RF was 0.4, taking into account that RF is a value
ranging from 0 to 1 it can be understood that Robinson-Foulds
distance shows that the weighing method does not represent large
differences with respect to the search without weighing that had a
value also close to 0,4.However, with a value of K = 9 the shortest
distances were obtained, although with differences too low to be able
to draw conclusions about a positive contribution in obtaining a
topology. The number of characters did not influence the obtaining of
the topology too much since the three matrices in general had a
similar performance in the search of the tree.</span></span></span></span></span></span></span></span></div>
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<span style="color: black;"><span style="background: transparent;"><img align="bottom" border="0" height="357" name="Imagen1" 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" width="602" />
</span></span></div>
<div align="center" style="line-height: 138%; margin-bottom: 0cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><b><span style="background: transparent;"><br />
</span></b></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><b><span style="background: transparent;">Figure
1: </span></b></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">Robinson-Foulds
distance trees obtained acording to each model. In red the trees
obtained with the 100 characters matrix, in orange those obtained
with the 500 character matrix and in yellow with the 1000 characters
matrix.</span></span></span></span></span></span></span></span></div>
<div align="center" style="line-height: 138%; margin-bottom: 0cm;">
<br />
<div style="text-align: justify;">
<span style="font-family: "arial" , "helvetica" , sans-serif;">In conclusion, although it is considered that in general the weighing of characters helps to improve the search of the most parsimonious tree, for the matrices simulated with this model it didn't represent big differences.</span></div>
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<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><b><span style="font-variant-caps: normal; font-variant-ligatures: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="background: transparent;">B</span></span></span></span></span><span style="font-variant-caps: normal; font-variant-ligatures: normal;"><span style="color: black;"><span style="text-decoration: none;"><span style="font-style: normal;"><span style="background: transparent;">ibliografía</span></span></span></span></span></b></span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Farris,
J. S. (1983). The Logical Basis of Phylogenetic Analysis. <i>Advances
in Cladistics 2: Oceedings of the Second Meeting of the Willi Hennig
Society</i>, (September), 7–36.
https://doi.org/10.1080/106351591007453</span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Goloboff,
P. A. (1993). ESTIMATING CHARACTER WEIGHTS DURING TREE SEARCH.
<i>Cladistics</i>, <i>9</i>(1), 83–91.
https://doi.org/10.1111/j.1096-0031.1993.tb00209.x</span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Goloboff,
P. A., Farris, J. S., & Nixon, K. C. (2008). TNT, a free program
for phylogenetic analysis. <i>Cladistics</i>, <i>24</i>(5), 774–786.
https://doi.org/10.1111/j.1096-0031.2008.00217.x</span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Lewis,
P. O. (2001). A Likelihood Approach to Estimating Phylogeny from
Discrete Morphological Character Data. <i>Syst. Biol</i>, <i>50</i>(6),
913–925. Retrieved from
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.467.221&rep=rep1&type=pdf</span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Paradis,
E. (2012). <i>Analysis of phylogenetics and evolution with R</i>.
Springer.</span></span></div>
<div style="line-height: 120%; margin-left: 0.85cm; text-indent: -0.85cm;">
<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Rendall,
D., & Di Fiore, A. (2007). Homoplasy, homology, and the perceived
special status of behavior in evolution. <i>Journal of Human
Evolution</i>, <i>52</i>(5), 504–521.
https://doi.org/10.1016/j.jhevol.2006.11.014</span></span></div>
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<span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;">Vogt,
L., & Vogt, L. (2002). Testing and weighting characters.
<i>Organisms, Diversity and Evolution</i>, <i>2</i>(4), 319–333.
https://doi.org/10.1078/1439-6092-00051</span></span></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-37748867816893856822017-12-17T07:41:00.004-08:002017-12-17T07:43:27.456-08:00Criteria for phylogenetic analyses<div style="margin-bottom: 0in; margin-top: 0in;">
<div style="text-align: justify;">
<div style="margin-bottom: 0in; text-align: justify;">
<div style="font-variant-caps: normal; font-variant-ligatures: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "verdana" , sans-serif; font-size: small;"><span style="color: #1b1a1a;">When performing a phylogenetic analysis, we encountered several obstacles. The first of these is the tree space; we cannot be sure if the tree obtained is the real tree or the most suitable one</span>. <span style="color: #1b1a1a;">The second is the heterogeneity between the branches; since different characters change at different rates within and among evolutionary lineages (Gaut et al., 1992). The third is the character convergence; since they can suggest evolutionary similarities without the taxa being phylogenetically related (Felsenstein, 1988). The fourth is the lack of data, either of the terminals or of characters of genealogical importance. Because of this, researchers have proposed different criteria to reconstruct phylogenetic relationships among taxa. These criteria are parsimony, genetic distance, likelihood and Bayesian inference.</span></span></div>
<div style="margin-bottom: 0in; text-align: justify;">
<span style="font-family: "verdana" , sans-serif;"><br /></span> <span style="font-family: "verdana" , sans-serif;"></span><br />
<span style="font-family: "verdana" , sans-serif;">The distance methods calculate the total distance between pairs of taxa, taking into account the differences in their sequences (Sourdis & Nei, 1987). </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">The criterion of Parsimony is based on Occam's Razor </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">(Steel and Penny, 2000).</span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">This criterion, states that one should prefer simpler explanations (requiring fewer assumptions) over more complex, ad hoc ones. Then, the tree that requires fewer evolutionary events explains better the observed data (Steel and Penny, 2000). Likelihood and Bayesian inference are criteria of statistical inference. Likelihood seeks to find the tree topology that confers the highest probability on the observed characteristics of tip species (Sober, 2004). Maxi. Likelihood considers the fit between a model of the evolutionary process, the data and each of the possible phylogenetic trees to find the best tree (Salemi, 2009)</span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">. On the other hand, Bayesian inference uses probability distributions to describe the uncertainty of all parameters unknowns, including the model parameter(s). In phylogeny tree topology and substitution model specify the statistical model of the data (Nascimento et al., 2017), some of the parameters are base frequency, exchange rates, heterogeneity.</span></div>
<div style="font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; text-align: justify;">
<br /></div>
<div style="font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "verdana" , sans-serif;"><span style="color: #1b1a1a;"><span style="font-size: small;">Each of these approaches has advantages and disadvantages, each one has its own biases in the reconstruction. Therefore, defining what is the most appropriate criterion is an open question in phylogenetic analysis. </span></span> </span></div>
<div style="font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; text-align: justify;">
<span style="font-family: "verdana" , sans-serif;"><br /></span></div>
<div style="font-style: normal; font-variant-caps: normal; font-variant-ligatures: normal; font-weight: normal; letter-spacing: normal; margin-bottom: 0in; text-align: justify;">
<span style="color: #1b1a1a;"><span style="font-family: "verdana" , sans-serif; font-size: small;">Distance methods assume that the most similar organisms are phylogenetically closer. So it can lead to convergences. One of the most common </span></span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">distance-based methods is UPGMA, which can lead to errors in phylogenetic reconstruction such as grouping species that are not closely related if heterogeneity exists in the rate of evolutionary change (Nei, 1991).</span><br />
<span style="color: #1b1a1a;"><span style="font-family: "verdana" , sans-serif; font-size: small;"><br /></span></span> <span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">Parsimony is biased when the rate of change per branch is high and tends to reconstruct the wrong tree due to long-branch attraction, while likelihood does not suffer from these problems </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">(Clemente et al., 2009)</span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">. But also, maximum likelihood and Bayesian methods when the characters under study evolve at non-uniform rates over time have been shown to be inconsistent and perform worse than parsimony (Clemente et al., 2009).</span></div>
<div style="margin-bottom: 0in; text-align: justify;">
<span style="color: #1b1a1a;"><span style="font-family: "verdana" , sans-serif; font-size: small;"><br /></span></span> <span style="color: #1b1a1a;"><span style="font-family: "verdana" , sans-serif; font-size: small;">Also, phylogenetic reconstructions performed by Bayesian inference and likelihood due to ambiguous characters or lack of evidence, either of characters or terminals, can produce errors such as misleading estimates of topology and branch lengths </span></span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;"> </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">(Alan </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;"><i>et al</i></span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">., 2009). </span><span style="color: #1b1a1a; font-family: "verdana" , sans-serif;">To itself, in Bayesian inference, the priors of branch lengths and the parameters of heterogeneity of the rates due to incomplete data can generate high deceitful posterior probabilities (Alan <i>et al</i>., 2009).</span></div>
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<span style="color: #1b1a1a;"><span style="font-family: "verdana" , sans-serif; font-size: 12pt;">The above are just some of the arguments available in the literature to find the different criteria for the reconstruction of phylogenetic analysis. Then, given the above, it would not be possible to give the magic recipe or the indicated criterion for a good phylogenetic analysis, since of all the criteria proposed so far none addresses or resolves all the common problems that we find when reconstructing the phylogenetic relationships between the taxa.</span></span><br />
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<span style="color: #333333; font-family: "verdana" , sans-serif;">Bibliography</span></div>
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<li style="color: black;">Steel M, Penny D. (2000). Parsimony, Likelihood, and the Role of Models in Molecular Phylogenetics. <a abstractlink="yes" alsec="jour" alterm="Mol Biol Evol." aria-expanded="false" aria-haspopup="true" href="https://www.ncbi.nlm.nih.gov/pubmed/10833190#" role="menuitem" style="border-bottom: 0px; color: #660066;" title="Molecular biology and evolution.">Mol Biol Evol.</a><span style="background-color: white; text-align: left;"> 2000 Jun;17(6):839-50.</span></li>
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<li>Sober E. (2004). The Contest Between Parsimony and Likelihood. Syst. Biol. 53(4): 644-653.</li>
<li>Sourdis, J & NEI, M. Relative Efficiencies of the Maximum Parsimony and Distance-Matrix Methods in Obtaining the Correct Phylogenetic Tree. Center for Demographic and Population Genetics, The University of Texas Health Science Center at Houston.,1987;14 páginas.</li>
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</style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-49438261404851670482017-12-13T02:08:00.002-08:002017-12-18T04:45:55.145-08:00Molosid bats<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><b>Sensitivity
of partitions to phylogenetic reconstruction by maximum
likelihood(ML) <span style="font-size: small;">and Bayesian
inference(IB) in molosid bats (Molossidae Family, Molossinae
subfamily).</span></b></span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Introduction</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">The
molossidae family contains more than 100 species divided into 16
genera, positioning it as the 4 largest family of bats. Two
subfamilies are recognized, Molossinae (15 genera) and Tomopeatinae
(1 genus, with only one species: Tomopeas ravus.). The main
characteristic of the molosidos is the presence of free tail,
measured the forearm between 25 to 86 mm, extension of the ear, shape
of the antitrago, wrinkles on the lips and the presence of bristles
on the rump. As diagnostic characters, the Molossinae subfamily
presents a thick uropatagio, The tail usually extends a third or more
of its total length beyond the distal edge of the interfemural
membrane, The fur is velvety, the ears are well developed, thick and
provided of a prominent internal keel in most species, in addition to
the presence of tiny, rigid and curved hairs, with the apex dilated
in the external toes of the feet and long sensitive hairs starting
from the medial region of the feet (Gregorin 2001) .</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Phylogenetic
relationships within Molossidae have been investigated using
morphometry (Freeman, 1981), morphological characters (Legendre,
1984, 1985, Hand, 1990), and molecular data (Sudman et al., 1994).
The phylogenies derived from these studies are largely incongruent,
but most propose Molossinae as monophyletic. That is why the
objective of this study is to determine the effect of partitions in
phylogenetic reconstruction by ML and IB in the Molossinae subfamily.Taking as a hypothesis that IB is better than ML, given the support of the nodes of the tree.</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Methods</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">GenBank
sequences were downloaded for three nuclear genes (RAG2, DMP1 and
βFIB) and one mitochondrial gene (ND1) (Annex 1), for 38 species of
which 36 represent the ingroup at least one species for each genus
and 2 the outgroup ( Myotis velifer and Antrozous pallidus of the
family Vespertilionidae). The sequences were aligned in Muscle
v3.8.31. Evolutionary models of each gene were calculated with
jModelTest v2.1.10 under the Akaike Information Criterion (AIC).</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Two
methods of phylogenetic reconstruction were used: Maximum Likelihood
(ML) and Bayesian Inference (BI). For ML, RaxML v8.2.9 (Combining
tree search and bootstrapping analysis) was used. For IB the software
of MrBayes v3.2.6 was used. For the two methods, 3 types of data were
used: Nuclear, mitochondrial and total evidence (nuclear +
mitochondrial).</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Results
and Discussion</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">The
substitution models were: RAG2: TIM1 + G, DMP1: TrN + G, βFIB:
TPM2uf + I and ND1: GTR + G + I.</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"> <span style="font-size: small;">The
trees obtained with the two methods for mitochondrial and nuclear
data separately presented little resolution of the phylogenetic
relationships within the molossinae subfamily; On the contrary, for
total evidence in the two methods, trees with higher resolution are
obtained but the relationships within the subfamily are not
completely resolved. Some genera such as Mops, Chaerephon and
Tadarida in none of the cases were found as monolithic groups.</span></span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">The
bootstrap support for the ML tree is very low for some nodes (Image
1), whereas the posterior probability for most of the nodes of the
tree obtained by IB is 100% (Image 2).</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: arial, helvetica, sans-serif;">These
results are similar to that found in the literature about this
subfamily; Lamb et al. (2011) in the non-monophyly of the genera
Mops, Chaerehon and Tadarida, in the case of Tadaria, Gregorin, 2015
also supports non-monophyly. Like the clade Chaerephon-Mops, this
pattern was also recovered by Gregorin (2000) and Freeman (1981).</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">On
the other hand, as the objective of this work was to determine the
effect of partitions on phylogenetic reconstruction by ML and IB in
the Molossinae subfamily; I can affirm that the approximations of
only mitochondrial or nuclear data coincide with those found by other
authors for the phylogenetic relationships of this subfamily
(Gregorin (2000) and by Freeman (1981) Lamb et al. (2011)), besides
the idea is supported of using total evidence for phylogenetic
analysis. Regarding the methodology, the results are similar, but as
you can see there are long branches that may be affecting, but
according to the literature, Bayesian inference presents consistency
regardless of the length of the area or branch (Steel, 2013),
contrary to the ML, for which the most reliable result is obtained by
IB.</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br />
</span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: small;">Conclusions</span></div>
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<span style="font-family: "arial" , "helvetica" , sans-serif; font-size: 12pt;">The
phylogenetic reconstruction of the subfamily is affected by the type
of data with which the analysis is performed, being more appropriate
an approach with total evidence by Bayesian Inference.</span></div>
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<span style="font-family: "ubuntu mono";"><span style="font-size: 12pt;"><b>Image
1. Tree obtained from ML with bootstrap supports.</b></span></span></div>
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<span style="font-family: "ubuntu mono";"><span style="font-size: 12pt;"><b>Image
2. Tree obtained by IB with posterior probability values.</b></span></span></div>
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<div style="line-height: 100%; margin-bottom: 0cm;">
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Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-22673751479606772362017-12-12T22:04:00.000-08:002017-12-12T22:04:26.349-08:00Phylogenetic reconstruction in practice<div align="center" class="MsoNormal" style="text-align: center;">
<span style="font-family: "Arial Narrow", sans-serif; font-size: 12pt;">Phylogenetic
reconstruction in practice</span><br />
<span style="font-family: "Arial Narrow", sans-serif; font-size: 12pt;"><br /></span></div>
<div class="MsoNormal">
<div class="MsoNormal">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">There are thousands of data that can be analized
for making a reconstruction phylogenetic, the question is: How do you make it? <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">For
choose the best hypothesis of phylogenetics relation of inference cientific
have to do two analyses, first is the analyses of caracters that is in mayoria
empiric, and the second analysis is the exploration of trees's space that
demands the alternative topologies valoration and a quantitative decision ruler
for the optimum hipothesis selection of the phylogeny and for last evaluate the
confiability of these philogenetics hypotheses </span><!--[if supportFields]><span
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<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"><br /></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">Any
method used should be chosen by the researcher, taking into account the
properties it possesses and the characteristics of the data to be evaluated.
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lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:9.0pt;line-height:115%;
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‘‘long-branch repulsion’’, the region of
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the Felsenstein Zone.<o:p></o:p></span></div>
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<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"><br /></span></div>
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there are circumstances in which the methods of estimation are not
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when paralellism is rare </span><!--[if supportFields]><span lang=EN-US
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based on the properties that posses a method of get a correct result despite
that his parameters have been violated. <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"><br /></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">Besides
of this to find the most parsimonious trees, the technique must be chosen
according to the size of the data; there are traditional techniques: the first
is wagner tree where the trees are created by sequentially adding the taxa and
at the most parsimonious available branch, the next technique is
branch-swapping that evaluates the parsimony of each of a series of
branch-rearrangements of a tree; there are 3 branch-swapping algorithms of
which "tree bisection reconnection" or TBR is the most used, however
it has limitations when it comes to a quantity of taxa greater than 40, for
data sets larger than 50 and less than 150 a strategy is to perform TBR + RAS
or "random addition sequence" (Goloboff,1999)<o:p></o:p></span></div>
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<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"><br /></span></div>
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sets can be so large that they have regions or sectors that can be seen as
sub-problems, so they will be "local" and "global" optimal,
so an alternative strategy to the traditionally Ratchet, is a technique for
analyzing large data sets, it is based on slightly perturbing the data to avoid
that TBR gets stuck, repeating a TBR search for the perturbed data using the
same tree as starting point, then using that tree for searching again under the
original data (Goloboff, 2002). There are
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}<span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">(Goloboff, 2002)</span><!--[if supportFields]><span
lang=EN-US style='font-size:12.0pt;mso-bidi-font-size:9.0pt;line-height:115%;
font-family:"Arial Narrow","sans-serif";mso-bidi-font-family:Arial;mso-ansi-language:
EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"> which are used depending of the characteristics of data set in order to
be as accurate and efficient as possible. <o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;"><br /></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US">As a recipe, the steps in phylogenetic
reconstruction are: the collection of a set of characters, the next step is the
selection of a model that postulates the value of changes between states and select
optimal trees such as models of Parsimony: Wagner, Fitch, Dollo, Camin-Sokal,
etc., and the probabilistic ones like: Jukes-Cantor, Kimura 2P, etc., either
with programs like "PAUP" or "MrBayes", which refer to the
likelihood or Bayesian probabilities of the trees in competition </span><!--[if supportFields]><span
lang=EN-US style='mso-ansi-language:EN-US'><span style='mso-element:field-begin;
mso-field-lock:yes'></span>ADDIN CSL_CITATION { "citationItems" : [ {
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}<span style='mso-element:field-separator'></span></span><![endif]--><span lang="EN-US">(Luna
et al., 2005)</span><!--[if supportFields]><span lang=EN-US
style='mso-ansi-language:EN-US'><span style='mso-element:field-end'></span></span><![endif]--><span lang="EN-US">. To continue, there are three methods
of phylogenetic reconstruction, such as: parsimony methods (Farris, 1983), and
the two probabilistic approaches, maximum likelihood methods ("maximum
likelihood", ML) (Felsenstein, 2004), and Bayesian methods (Rannala and
Yang, 1996). For obtain the optimal tree in some cases it is necessary to make
a consensus that can be consensus or strict. Finally, the results are displayed
in programs such as FigTree.<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US"><br /></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US">Each set of data is unique so you must find the
combination of methods as accurate as possible in terms of explanation and
effectiveness so you can not remove the practice of the theory that is already
in it is the basis of decisions, as affirmed by De Luna et al. (2005), current
phylogenetic analyzes and the increase of data types, require knowledge in areas
such as science of science, statistics, probabilistic theory and molecular
evolution to achieve control both operationally and theoretically.<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
Bibliography<o:p></o:p></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<!--[if supportFields]><span
lang=EN-US style='font-size:12.0pt;font-family:"Arial Narrow","sans-serif";
mso-bidi-font-family:Arial;mso-ansi-language:EN-US'><span style='mso-element:
field-begin;mso-field-lock:yes'></span></span><span style='font-size:12.0pt;
font-family:"Arial Narrow","sans-serif";mso-bidi-font-family:Arial'>ADDIN
Mendeley Bibliography CSL_BIBLIOGRAPHY </span><span lang=EN-US
style='font-size:12.0pt;font-family:"Arial Narrow","sans-serif";mso-bidi-font-family:
Arial;mso-ansi-language:EN-US'><span style='mso-element:field-separator'></span></span><![endif]--><span style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Bak, Y., Otu, H. H., Tasci, N., Meydan, C.,
& Sezerman, U. O. (2013). </span><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Testing robustness of relative
complexity measure method constructing robust phylogenetic trees for Galanthus
L . Using the relative complexity measure.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Farris, J. S. (1983). The Logical Basis of Phylogenetic Analysis.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Farris, J. S. (1999). Likelihood and Inconsistency, <i>204</i>, 199–204.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Felsenstein, J. (1978). Cases in Which Parsimony or Compatibility Methods
Will Be Positively Misleading, (1965), 401–410.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: Arial; mso-bidi-font-size: 9.0pt;">Goloboff, </span><span style="font-family: "Arial Narrow", sans-serif; font-size: 16px;">P.</span><span style="font-family: "Arial Narrow", sans-serif; font-size: 16px;"> A. </span><span style="font-family: "Arial Narrow", sans-serif; font-size: 12pt; text-indent: -24pt;">(1999). Analyzing
Large Data Sets in Reasonable Times: Solutions for Composite Optima. Cladistics
15. 415-428</span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Goloboff, P. A. (2002). 4 Techniques for Analyzing Large Data Sets,
(August). https://doi.org/10.1007/978-3-0348-8125-8<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Holder, M. T., Zwickl, D. J., & Dessimoz, C. (2008). Evaluating the
robustness of phylogenetic methods to among-site variability in substitution
processes, (October), 4013–4021. https://doi.org/10.1098/rstb.2008.0162<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Luna, E. De, José A, G., & Tania Chew,
T. (2005). Sistemática biológica : avances y direcciones en la teoría y los
métodos de la reconstrucción filogenética Systematic biology : advances and
directions in theory and methods of phylogenetic reconstruction, <i>15</i>(3),
351–370.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Siddall, M. E. (1998). Success of Parsimony in the Four-Taxon Case :
Long-Branch Repulsion by Likelihood in the Farris Zone, <i>220</i>, 209–220.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-family: "Times New Roman"; mso-no-proof: yes;">Tang, C. Q., Humphreys, A. M., Fontaneto, D., & Barraclough, T. G.
(2014). Title : Effects of phylogenetic reconstruction method on the robustness
of species delimitation using single-locus data.
https://doi.org/10.1111/2041-210X.12246</span><span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-bidi-font-size: 11.0pt; mso-no-proof: yes;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span style="font-family: Arial Narrow, sans-serif;"><br /></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<span style="font-family: Arial Narrow, sans-serif;">Software</span></div>
<div class="MsoNormal" style="margin-left: 21.3pt; text-align: justify; text-indent: -21.3pt;">
<span lang="EN-US" style="background: white; color: #222222; font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">Swofford, D., & Douglas P..
Begle. (1993). <i>PAUP: Phylogenetic Analysis Using Parsimony, Version
3.1, March 1993</i>. Center for Biodiversity, Illinois Natural History Survey.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: 21.3pt; text-align: justify; text-indent: -21.3pt;">
<span lang="EN-US" style="background: white; color: #222222; font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">Ronquist, F., & Huelsenbeck, J.
P. (2003). MrBayes 3: Bayesian phylogenetic inference under mixed models. </span><i><span style="background: white; color: #222222; font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Arial;">Bioinformatics</span></i><span style="background: white; color: #222222; font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-bidi-font-family: Arial;">, <i>19</i>(12),
1572-1574.<o:p></o:p></span></div>
<div class="MsoNormal" style="text-align: justify;">
<span lang="EN-US" style="font-family: "Arial Narrow","sans-serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-font-family: Arial;">Andrew Rambaut. FigTree. V.
1.4.2. Institute of Evolutionary Biology, University of Edinburgh.<o:p></o:p></span></div>
<br />
<div class="MsoNormal" style="line-height: normal; margin-left: 24.0pt; mso-layout-grid-align: none; mso-pagination: none; text-autospace: none; text-indent: -24.0pt;">
<br /></div>
</div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-44868783113418901432017-12-12T18:28:00.000-08:002017-12-13T07:19:49.224-08:00The search without end; proof, and error the path of science.<div align="justify" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-family: "verdana" , sans-serif;">The human being in his infinite curiosity has always sought the truth, always wanted to know the laws of life and/or reality. But how close have come to this? Science, in its broadest definition, is a body of knowledge that seeks to understand, describe and explain reality using reproducible methods (Garcia, 2015). Science is the tool for which we approach reality. But this tool needs a criterion of demarcation, with which it is tried to define the limits that configure it and with which it is possible to be decided between two given theories. Popper (1972) raises the criterion of falsifiability, in which he says that a conjecture belongs to empirical science if and only if it is falsifiable. A hypothesis is falsifiable if there is an observational statement or a set of observations that are incompatible. Then the statements made in science should be based on observations in order to demonstrate the falsifiability of a theory through the results of observation and experimentation. But why should we demonstrate the falsifiability and not the veracity of the theories? Given that we do not know the absolute truth, that we cannot justify a statement as true and that work in science is a constant approach to the truth, of course without knowing it, it is more logical to look for potential falsifiers than to try to fit empirical evidence to the moment model. Since the purpose of science is to produce theories that are as close to the truth as possible, this degree of approach is achieved by testing theories in experience and contrasting theories about the same subject. A well-corroborated theory can be used as an indicator of its degree of nearness to the truth, for example, if I have two theories and one has endured proofs in which the other fails could be said that the first is closer to the truth (Popper, 1972). then it is considered corroborated, being able to be accepted provisionally, but not verified; that is, no theory is absolutely true, if not provisionally corroborated by empirical evidence (Garcia, 2015).</span></div>
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<span style="font-family: "verdana" , sans-serif;"><br /></span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "liberation" serif , serif;">Kuhn (2001) says that the demarcation criterion of Popper is wrong because for this author science is divided into two; normal science and extraordinary science. Normal science is the activity of non-revolutionary professionals, those who accept a paradigm and work around it and extraordinary science is when there is a series of phenomena that do not conform to existing paradigms and that despite several hypotheses are formulated ad In order to frame them remain confused within the paradigm, Kuhn accuses Popper that his criterion does not recognize normal science and only focuses on extraordinary science but this is not true, Popper believes that there is no division of science and that the "Normal science" is carried out by those scientists who do not investigate or challenge the dogma, it is in disagreement with Kuhn and his affirmation "the failures do not reject the theories altogether, it suffices to introduce ad hoc hypothesis" (Jaramillo and Aguirre, 2004). </span> </span></div>
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<span style="font-family: "verdana" , sans-serif;"><br /></span></div>
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<span style="font-family: "verdana" , sans-serif;">Lakatos (1970) says: "If all scientific statements are fallible theories, you can criticize only for inconsistency. But then, in what sense, if there is any, is science empirical? If the scientific theories are neither probable, nor probability, nor refutable, then it seems that the skeptic is finally right: science is nothing more than vain speculation and there is no such thing as progress in scientific knowledge ".</span></div>
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<span style="font-family: "verdana" , sans-serif;"><br /></span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">It is true that the development of science is based on previous knowledge but Popper is right when he states that science is generally fallible and the most accepted theories today can be false since they are conjectures that may or may not be true and we can not know that </span><span style="font-family: "verdana" , sans-serif;">a theory is true, even if it is "(Popper, 1962). If we do not know the truth, but we know that our explanation does not adjust with some phenomena then we could deduce that our explanation is not correct, we should look for another explanation instead of trying to adjust our evidence or empirical knowledge to a theory. And that's how science works, trial and error.</span></span></div>
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<span style="font-family: "verdana" , sans-serif;"><br /></span></div>
<div align="justify" style="line-height: 100%; margin-bottom: 0in;">
<span style="font-family: "verdana" , sans-serif;">Progress in scientific knowledge is not measured as a number of successes but as a gain in the evaluated explanations, that is, instead of having the true explanation we have ruled out an explanation, it would be like reducing the space of possible explanations in the style of the Detective Sherlock Holmes. Science will always be subject to changes, otherwise, it would have sense? Science is based on looking for an explanation of what we do not know, always researchers from previous knowledge ask questions about some phenomenon, always the questions are about what we do not understand if the progress in scientific knowledge was to obtain the truth Absolute would be enough to pose a universal explanation, accept it and pose a new problem. But no, in science there is no absolute truth, there are theories that are evaluated that corroborate or falsify, there is no true statement but the explanation that best fits are the theory most accepted at the time. if not, the earth would still be flat.</span></div>
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<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;"><br /></span> <span style="font-family: "verdana" , sans-serif;"><br /></span></span></div>
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<span style="font-family: "verdana" , sans-serif;">Bibliography:</span></div>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;">García Duque, C.E. “El realismo científico de Karl Popper, tan coherentes cómo es posible”. Discusiones Filosóficas. Jul.-Dic. 2015: 63-86. DOI: 10.17151/difil.2015.16.27.5.</span></li>
</ul>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;">Jaramillo, L. y Aguirre, J. 2004. La controversia Kuhn – Popper en torno al progreso científico y sus posibles aportes a la enseñanza de las ciencias Cinta moebio 20: 83-92.</span></li>
</ul>
<div align="justify" style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;">Kuhn, T.S. La estructura de las revoluciones científicas. México: Fondo de Cultura Económica, 2001.</span></li>
</ul>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;">Lakatos, I. “Falsification and the methodology of Scientific Research Programmes.” Criticism and the Growth of Knowledge. Eds. I. Lakatos and A. Musgrave. Cambridge: Cambridge University Press, 1970. Print.</span></li>
</ul>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;"><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;">Popper, K. </span></span><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;">Conjectures and Refutations. The Growth of Scientific Knowledge. New York: Basic Books, 1962. Print.</span></span></span></li>
</ul>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;"><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;">Popper, K.</span></span><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;"> Objective Knowledge. An evolutionary Approach. Oxford: Clarendon Press, 1972. Print.</span></span></span></li>
</ul>
<div style="line-height: 100%; margin-bottom: 0in;">
</div>
<ul>
<li><span style="font-family: "verdana" , sans-serif; font-size: xx-small;"><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;">Popper, K. </span></span><span style="color: black;"><span style="font-family: "verdana" , "arial" , "helvetica" , sans-serif;">Realism and the Aim of Science. Post Scriptum to the Logic of Scientific Discovery. London: Hutchison, 1983. Print.</span></span></span></li>
</ul>
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;"><br /></span> </span><br />
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<style type="text/css"> @page { margin: 0.79in } p { margin-bottom: 0.1in; line-height: 120% } </style>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-30133673990617722792017-12-12T16:13:00.000-08:002017-12-12T16:17:33.509-08:00The Phylogenetic Menu<div align="justify" style="line-height: 108%; margin-bottom: 0.28cm;">
<span style="font-family: "georgia" , "times new roman" , serif;">Currently there are three methods in the inference of phylogenetic trees: Maximum Parsimony (MP), Maximun Likelihood (ML) and Bayesian analysis. Also, there is a great variety of programs that allow to execute these methods on the data. However, the doubt about which method is the best has always been present and even after many years of discussion it has not yet been possible to reach an agreement. Here I will show the menu available to a researcher who wants to do a phylogenetic analysis, showing the three main courses, with their advantages and disadvantages.</span><span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;">The first is the most traditional, used for a long time, but has lost strength in recent years. </span></span><br />
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;">Maximum Parsimony was proposed by Edwards and Cavalli-Sforza (1963) and is characterized because it does not use an explicit method of evolution, nor any other type of assumptions prior to analysis. Based on the knife of Ockham whose tree chosen is the tree that has lower cost, which is the tree that explains the data with the smaller amount of possible changes. There are several ways to do this method and they are based on different ways in which the transformations of the characters are possible, among these are: Fitch, Wagner, Camin-Sokal and the general matrix (Wiley, 2011). The main problems in using this analysis lie in the impossibility of obtaining the length value of the branches, since it does not take into account the amount of change because there is no explicit evolutionary model, in addition the parsimony has problems of inconsistency of the branches when the number of taxa is large and the exchange rates are high (Kim, 1996).</span></span><br />
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;">On the probabilistic and most recent side is Maximum Likelihood (ML), this method uses a previously established evolution model of the sequences, given the model this analysis finds the hypothesis that best explains the data -probability of the data given the model- (Salemi, 2009). Thanks to the model used, a new value can be estimated in the topology: the lengths of the branches, which are the amount of change accumulated since the time of the fork (Swoffod, 1996). However, this method is not absolved from uncertainties, it has been empirically demonstrated that this method can fail under certain conditions in the same way as MP (Farris, 1999).</span></span><br />
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;">The Bayesian method is also on the probabilistic side - weaknesses similar to those of ML -this method is the newest of the three and is the most widely used in recent times. The question is the alternative to Maximum likelihood: What is the probability of the model given the data? It is also based on previous knowledge known as priors, among which are: the evolutionary model of the sequence, heterogeneity and distribution of the data. The probabilistic space exploration is done with the help of the MCMC method where the node is chosen with greater posterior probability and the lengths of the branches based on the model are also taken into account (Holmes, 2003).</span></span><br />
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;"><br /></span></span>
<span style="font-family: "arial" , serif;"><span lang="en-US" style="font-family: "georgia" , "times new roman" , serif;">It seems to me that each one of the analysis can be useful depending on the data, the researcher must know very well his type of data and his research question, since these are the ones that determine which method to approach the problem. Although all have their shortcomings, the utility of the length of the branches at the time of dating or the philosophical support of MP are qualities that are difficult to reject.</span></span></div>
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<span style="font-family: "arial" , serif;"><span style="font-size: small;"><b>Bibliography</b></span></span></div>
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<span style="font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , serif;"><span lang="en-US">Farris, J. S. (1999). Likelihood and inconsistency. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , serif;"><i>Cladistics</i></span></span><span style="color: #222222;"><span style="font-family: "arial" , serif;">, </span></span><span style="color: #222222;"><span style="font-family: "arial" , serif;"><i>15</i></span></span><span style="color: #222222;"><span style="font-family: "arial" , serif;">(2), 199-204.</span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-size: x-small;"><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">Holmes, S. (2003). Bootstrapping Phylogenetic Trees: Theory and Methods. </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;">Stat. Sci. 18, 241–255</span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-size: x-small;"><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">Kim, J. (1996). General inconsistency conditions for maximum parsimony: effects of branch lengths and increasing numbers of taxa. </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><i>Systematic Biology</i></span></span><span style="color: black;"><span style="font-family: "arial" , serif;">, </span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><i>45</i></span></span><span style="color: black;"><span style="font-family: "arial" , serif;">(3), 363-374.</span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-size: x-small;"><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">Salemi, M., Vandamme, A.-M., & Lemey, P. (2009). </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US"><i>The phylogenetic handbook : a practical approach to phylogenetic analysis and hypothesis testing</i></span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">. </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;">Cambridge University Press.</span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-size: x-small;"><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">Swofford, D. L., Olsen, G. J., Waddell, P. J. & Hillis, D. M. (1996). Phylogenetic inference. </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><i>Molecular Systematics</i></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"> 407–514.</span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-size: x-small;"><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">Wiley, E. O., & Lieberman, B. S. (2011). </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US"><i>Phylogenetics: theory and practice of phylogenetic systematics</i></span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;"><span lang="en-US">. </span></span></span><span style="color: black;"><span style="font-family: "arial" , serif;">John Wiley & Sons.</span></span></span></div>
</li>
</ul>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-75345028261249694522017-12-12T08:01:00.000-08:002017-12-12T16:19:33.420-08:00Philosophy, Classification and Phylogeny<div align="justify" style="line-height: 108%; margin-bottom: 0.28cm;">
<span style="font-family: Georgia, Times New Roman, serif;"><span style="color: black;"><span lang="en-US">From
the Greeks to the present day-passing by Darwin-the way in which we
classify living beings has remained in constant discussion. Aristotle
was one of the first to propose a character based method on a
classification system. Theophrastus, Pedanius and Plinius continued
to contribute in one way or another to the categorization of life
(Manktelow, 2010). In the mid- 18th century, Carl Von Linné
introduced the binary classification system, giving a more </span></span><span lang="en-US">organized
meaning to life, but Linné was only interested in descriptions of
the species and was not in organizational levels superior to genres.
Lammarck, de Jussieu and Adenson in different ways proposed the use
of characters for a hierarchical organization of the species. Lamarck
and Juisseu also believed that the similarities of the species
corresponded to a continuity in the form. Then emerged the compared
anatomy with Cuvier and Leclerc who went deeper into the importance
of the characters (Stevens, 2002).</span></span></div>
<div align="justify" style="line-height: 108%; margin-bottom: 0.28cm;">
<span lang="en-US" style="font-family: Georgia, Times New Roman, serif;">These
researchers prior to the theory of natural selection, had in common
that they conceived the species as immutable categories, that is,
could not emerge new species and these are simply transformed into
other “Scala naturae”. With the advent of Darwin and Wallace's
theory of natural selection, species began to be understood as groups
of organisms that changed their shape by various factors, the idea of
the common ancestor gained strength and the change of organisms over
time began to be represented with phylogenies (Ruse, 2009), taking
the classification from an evolutionary perspective. The use of
phylogenies represented in trees made it necessary to establish
techniques to infer these trees. So, the definitions of homology and
homoplasy became important when choosing the characters, but outside
the already famous discussion between the three schools, the
philosophical background of the methods used in cladistics has also
been generating great controversy from the beginning.</span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><a href="https://www.blogger.com/null" name="_GoBack"></a>
<span lang="en-US">Willi Hennig proposed the maximum parsimony method
based on Ockham's knife and Poper's epistemology. Popper believed to
have solved the problem of inductivism in science, the problem is
about making a posteriori conclusions based on repetitive prior
knowledge, since these are merely "historical memories" and
have no predictive power-they do not assure what will happen in the
future -. For Popper the only important thing is the data at the
moment and if a hypothesis can be falsifiable, then it is a valid
hypothesis (Reippel, 2003). The falsifiability implies that a theory
is capable of being rejected by empirical and verifiable evidence,
the rest would be pseudoscience (Popper, 1981). After Hennig, various
methods of inference (contrary to popperian ideology) have emerged,
that use either likelihood (Maximum Likelihood) or later probability
(Bayesian Analysis). These two methods considered deductive by those
who defend parsimony -as they use other information besides the data-
are considered contradictory to Popper's epistemological theory,
however, some authors claim that likelihood can be considered
popperian (Helfenbein, 2005). </span>
</span></div>
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<span lang="en-US" style="font-family: Georgia, Times New Roman, serif;">In
my opinion, any type of statement that is made in science must be
supported by empirical and explicit evidence, in addition to being
subject to falsification, either by new information available or by a
new interpretation of the data. It is a good way to avoid falling
into dogmatism and to advance in the creation of knowledge.</span></div>
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<td bgcolor="#ffffff" style="border: none; padding: 0cm;" width="67"><span style="color: black;"><span style="font-family: "arial" , serif;"><span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><u>Bibliography</u></span></span></span></td>
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<ul>
<li><div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">Helfenbein,
K. G., & DeSalle, R. (2005). Falsifications and corroborations:
Karl Popper’s influence on systematics. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>Molecular
Phylogenetics and Evolution</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">, </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>35</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">(1),
271-280.</span></span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">Manktelow,
M. (2010). History of taxonomy. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>Lecture
from Dept. of Systematic Biology, Uppsala University</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">.</span></span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">Popper,
K. (1981). Science, pseudo-science, and falsifiability. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>Scientific
thinking</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">,
92-99.</span></span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">Rieppel,
O. (2003). Popper and systematics. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>Systematic
Biology</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">, </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>52</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">(2),
259-271.</span></span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">Stevens,
P. F. (2003). History of Taxonomy. </span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US"><i>eLS</i></span></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><span lang="en-US">.</span></span></span></span></div>
</li>
<li>
<div align="justify" style="line-height: 100%; margin-bottom: 0cm;">
<span style="font-family: Georgia, Times New Roman, serif; font-size: x-small;"><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;">Ruse, M.
(2009). Darwin y la filosofía. </span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><i>teorema</i></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;">, </span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;"><i>28</i></span></span><span style="color: #222222;"><span style="font-family: "arial" , sans-serif;">(2).</span></span></span></div>
</li>
</ul>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-8785560527675700170.post-56235343557488196042017-12-09T22:11:00.000-08:002017-12-12T16:42:02.546-08:00Phylogenetic analyzes.<div align="justify">
<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;"><b>Phylogenetic analyzes.</b></span></span></span></span><br />
<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;"><b><br /></b></span></span></span></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;">Phylogenetic analysis is the means to estimate evolutionary relationships, such relationships are usually represented as a diagram known as a phylogenetic tree. Different methodologies have been proposed or exist with which phylogenetic analyses are carried out, each with advantages and disadvantages. But the important question is how to make a phylogenetic analysis well?. A large amount of data available for phylogenetic analyses is expanding at an exponential rate. As data sets have become larger, it has become increasingly critical to understand the advantages and disadvantages of using various methods of phylogenetic inference (Rosenberg & Kumar, 2001).</span></span></span></span><br />
<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;"><br /></span></span></span></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;">The most used methods we can find are Parsimony, Distance, Maximum Likelihood and Bayesian Inference. Generally, in the construction by the parsimony method look for the representation (cladogram) that has the least number of genetic changes with respect to the sequence of a common ancestor. Evaluate all the possible trees that represent evolution and look for the most optimal. Distance-based methods first calculate the total distance between all pairs of taxa, taking into account the differences in their sequences, and then calculate a tree based on those distances (Sourdis & Nei, 1987). Maximum Likelihood (ML) and Bayesian Inference (IB) are statistical methods, where a priori knowledge about the data is taken into account. The ML method estimates the probability of how well the character matrix is explained by phylogenetic trees (Felsenstein, 2004), while IB estimates the probability of how well phylogenetic trees are explained by the data (Huelsenbeck et al., 2001, Brooks et al., 2007). But these widely used methods have also been criticized; Maximum Parsimony is affected by the attraction of long branches (Felsenstein, 1978), which causes trees to reflect spurious phylogenetic relationships when the number of homoplastic characters overwhelms the homologous characters (Bergsten, 2005). Maximum Likelihood and IB is affected by the "repulsion" of sibling groups when they are located on long branches of trees (Siddall, 1998).</span></span></span></span><br />
<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;"><br /></span></span></span></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;">Personally I consider IB as the best method for phylogenetic reconstructions since it presents consistency regardless of the zone or branch length (Steel, 2013), besides other advantages such as computational efficiency (Ronquist & Huelsenbeck, 2009), integration of complex evolutionary models, incorporation of priors, in addition to an easy interpretation of the posterior probability (Yang, 2006).</span></span></span></span><br />
<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: small;"><span style="background: transparent; font-family: "verdana" , sans-serif;"><br /></span></span></span></span></div>
<div align="justify">
<span style="font-family: "verdana" , sans-serif;"><span style="background-color: white;">The steps for a "good" </span>phylogenetic analysis would be the following: Obtain the data (molecular or morphological), alignment, select the best substitution model (for nucleotide sequences, these range from the simple JC69 to the GTR complex, and for data morphological the Mk model (Nascimento et al., 2017), selection of priors (the prior should summarize the biologist's best knowledge about the model or parameters before the data are analyzed). The correlation must be ignored and independent priorities assigned for the parameters (Nascimento et al., 2017)), phylogenetic reconstruction by IB (The tree space is explored by visiting many combinations of parameter values in different trees by routes modeled by Monte Carlo Markov Chains (MCMC). </span><span style="font-family: "verdana" , sans-serif;">Starting from a T1 tree in space, each new random address is regulated by the decision rules of the algorithm. In each step (generation) the value of some of the parameters is modified, and the posterior probability of the T2 tree is calculated under that new combination of parameters. The Markov Chain "visits" another combination of probable values of the parameters associated with another tree to evaluate if the posterior probability value is slightly lower, equal or higher with respect to the combination of parameters of the previous tree (De Luna et al., 2005). If you explore trees of many "generations" and repeat several chains, the analysis eventually stabilizes. Ideally, the MCMC would be long enough to obtain a reliable estimate of the subsequent distribution, but not as long as to waste computational resources. After reaching a point of equilibrium, MCMC visits trees frequently in proportion to their posterior probability (Huelsenbeck et al., 2002), visualization and understanding of the results.</span><br />
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-family: "verdana" , sans-serif; font-size: x-small;">Bibliography.</span></span></span><br />
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="background: transparent; font-family: "verdana" , sans-serif; font-size: x-small;">Bergsten J. 2005. A review of long-branch attraction. Cladistics, 21, 163–193.</span></span></span></span></div>
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<span style="font-family: "verdana" , sans-serif; font-size: x-small;"><br /></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="background: transparent; font-family: "verdana" , sans-serif; font-size: x-small;">Brooks D.R., J. Bilewitch, C. Condy, et al. 2007. Quantitative Phylogenetic Analysis in the 21st Century. Revista Mexicana de Biodiversidad, 78, 225–252.</span></span></span></span></div>
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<span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="background: transparent;"><span lang="en-US" style="font-family: "verdana" , sans-serif; font-size: x-small;">Ronquist F., van der Mark P., Huelsenbeck J. P. 2009. Bayesian phylogenetic analysis using MrBayes. In: Lemey P., Salemi M., and Anne-Mieke V. (eds.) The Phylogenetic Handbook: a Practical Approach to Phylogenetic Analysis and Hypothesis Testing. Cambridge University Press. 219-236.</span></span></span></span></span></div>
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<span style="font-family: "verdana" , sans-serif; font-size: x-small;"><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">Rosenberg, </span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">S &</span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;"> Kumar, </span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">S. 2001.</span></span></span></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;"> Traditional Phylogenetic Reconstruction Methods Reconstruct Shallow and Deep Evolutionary Relationships Equally Well, </span></span></span></span></span></span></span></span><span style="border: none; display: inline-block; padding: 0cm;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><i><span style="font-weight: normal;"><span style="background: transparent;"><em>Molecular Biology and Evolution</em></span></span></i></span></span></span></span></span><span style="font-variant: normal;"><span style="color: black;"><span style="font-family: "arial" , sans-serif;"><span style="font-size: x-small;"><span style="letter-spacing: normal;"><span style="font-style: normal;"><span style="font-weight: normal;"><span style="background: transparent;">, Volume 18, Issue 9, 1 September 2001, Pages 1823–1827.</span></span></span></span></span></span></span></span></span></div>
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