The embedding problem for markov models of nucleotide substitution.

Continuous-time Markov processes are often used to model the complex natural phenomenon of sequence evolution. To make the process of sequence evolution tractable, simplifying assumptions are often made about the sequence properties and the underlying process. The validity of one such assumption, ti...

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Autores principales: Klara L Verbyla, Von Bing Yap, Anuj Pahwa, Yunli Shao, Gavin A Huttley
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Publicado: Public Library of Science (PLoS) 2013
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Acceso en línea:https://doaj.org/article/e418da09653146ba84de9bb0611ebffa
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spelling oai:doaj.org-article:e418da09653146ba84de9bb0611ebffa2021-11-18T09:02:03ZThe embedding problem for markov models of nucleotide substitution.1932-620310.1371/journal.pone.0069187https://doaj.org/article/e418da09653146ba84de9bb0611ebffa2013-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23935949/pdf/?tool=EBIhttps://doaj.org/toc/1932-6203Continuous-time Markov processes are often used to model the complex natural phenomenon of sequence evolution. To make the process of sequence evolution tractable, simplifying assumptions are often made about the sequence properties and the underlying process. The validity of one such assumption, time-homogeneity, has never been explored. Violations of this assumption can be found by identifying non-embeddability. A process is non-embeddable if it can not be embedded in a continuous time-homogeneous Markov process. In this study, non-embeddability was demonstrated to exist when modelling sequence evolution with Markov models. Evidence of non-embeddability was found primarily at the third codon position, possibly resulting from changes in mutation rate over time. Outgroup edges and those with a deeper time depth were found to have an increased probability of the underlying process being non-embeddable. Overall, low levels of non-embeddability were detected when examining individual edges of triads across a diverse set of alignments. Subsequent phylogenetic reconstruction analyses demonstrated that non-embeddability could impact on the correct prediction of phylogenies, but at extremely low levels. Despite the existence of non-embeddability, there is minimal evidence of violations of the local time homogeneity assumption and consequently the impact is likely to be minor.Klara L VerbylaVon Bing YapAnuj PahwaYunli ShaoGavin A HuttleyPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 8, Iss 7, p e69187 (2013)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Klara L Verbyla
Von Bing Yap
Anuj Pahwa
Yunli Shao
Gavin A Huttley
The embedding problem for markov models of nucleotide substitution.
description Continuous-time Markov processes are often used to model the complex natural phenomenon of sequence evolution. To make the process of sequence evolution tractable, simplifying assumptions are often made about the sequence properties and the underlying process. The validity of one such assumption, time-homogeneity, has never been explored. Violations of this assumption can be found by identifying non-embeddability. A process is non-embeddable if it can not be embedded in a continuous time-homogeneous Markov process. In this study, non-embeddability was demonstrated to exist when modelling sequence evolution with Markov models. Evidence of non-embeddability was found primarily at the third codon position, possibly resulting from changes in mutation rate over time. Outgroup edges and those with a deeper time depth were found to have an increased probability of the underlying process being non-embeddable. Overall, low levels of non-embeddability were detected when examining individual edges of triads across a diverse set of alignments. Subsequent phylogenetic reconstruction analyses demonstrated that non-embeddability could impact on the correct prediction of phylogenies, but at extremely low levels. Despite the existence of non-embeddability, there is minimal evidence of violations of the local time homogeneity assumption and consequently the impact is likely to be minor.
format article
author Klara L Verbyla
Von Bing Yap
Anuj Pahwa
Yunli Shao
Gavin A Huttley
author_facet Klara L Verbyla
Von Bing Yap
Anuj Pahwa
Yunli Shao
Gavin A Huttley
author_sort Klara L Verbyla
title The embedding problem for markov models of nucleotide substitution.
title_short The embedding problem for markov models of nucleotide substitution.
title_full The embedding problem for markov models of nucleotide substitution.
title_fullStr The embedding problem for markov models of nucleotide substitution.
title_full_unstemmed The embedding problem for markov models of nucleotide substitution.
title_sort embedding problem for markov models of nucleotide substitution.
publisher Public Library of Science (PLoS)
publishDate 2013
url https://doaj.org/article/e418da09653146ba84de9bb0611ebffa
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