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Coalescence computations for large samples drawn from populations of time-varying sizes
We present new results concerning probability distributions of times in the coalescence tree and expected allele frequencies for coalescent with large sample size. The obtained results are based on computational methodologies, which involve combining coalescence time scale changes with techniques of...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5295683/ https://www.ncbi.nlm.nih.gov/pubmed/28170404 http://dx.doi.org/10.1371/journal.pone.0170701 |
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author | Polanski, Andrzej Szczesna, Agnieszka Garbulowski, Mateusz Kimmel, Marek |
author_facet | Polanski, Andrzej Szczesna, Agnieszka Garbulowski, Mateusz Kimmel, Marek |
author_sort | Polanski, Andrzej |
collection | PubMed |
description | We present new results concerning probability distributions of times in the coalescence tree and expected allele frequencies for coalescent with large sample size. The obtained results are based on computational methodologies, which involve combining coalescence time scale changes with techniques of integral transformations and using analytical formulae for infinite products. We show applications of the proposed methodologies for computing probability distributions of times in the coalescence tree and their limits, for evaluation of accuracy of approximate expressions for times in the coalescence tree and expected allele frequencies, and for analysis of large human mitochondrial DNA dataset. |
format | Online Article Text |
id | pubmed-5295683 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-52956832017-02-17 Coalescence computations for large samples drawn from populations of time-varying sizes Polanski, Andrzej Szczesna, Agnieszka Garbulowski, Mateusz Kimmel, Marek PLoS One Research Article We present new results concerning probability distributions of times in the coalescence tree and expected allele frequencies for coalescent with large sample size. The obtained results are based on computational methodologies, which involve combining coalescence time scale changes with techniques of integral transformations and using analytical formulae for infinite products. We show applications of the proposed methodologies for computing probability distributions of times in the coalescence tree and their limits, for evaluation of accuracy of approximate expressions for times in the coalescence tree and expected allele frequencies, and for analysis of large human mitochondrial DNA dataset. Public Library of Science 2017-02-07 /pmc/articles/PMC5295683/ /pubmed/28170404 http://dx.doi.org/10.1371/journal.pone.0170701 Text en © 2017 Polanski et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Polanski, Andrzej Szczesna, Agnieszka Garbulowski, Mateusz Kimmel, Marek Coalescence computations for large samples drawn from populations of time-varying sizes |
title | Coalescence computations for large samples drawn from populations of time-varying sizes |
title_full | Coalescence computations for large samples drawn from populations of time-varying sizes |
title_fullStr | Coalescence computations for large samples drawn from populations of time-varying sizes |
title_full_unstemmed | Coalescence computations for large samples drawn from populations of time-varying sizes |
title_short | Coalescence computations for large samples drawn from populations of time-varying sizes |
title_sort | coalescence computations for large samples drawn from populations of time-varying sizes |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5295683/ https://www.ncbi.nlm.nih.gov/pubmed/28170404 http://dx.doi.org/10.1371/journal.pone.0170701 |
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