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...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Public Library of Science (PLoS)
2017-01-01
|
Series: | PLoS ONE |
Online Access: | http://europepmc.org/articles/PMC5295683?pdf=render |
id |
doaj-5594aa701f954396b0dfe75e52051fe1 |
---|---|
record_format |
Article |
spelling |
doaj-5594aa701f954396b0dfe75e52051fe12020-11-24T21:47:24ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01122e017070110.1371/journal.pone.0170701Coalescence computations for large samples drawn from populations of time-varying sizes.Andrzej PolanskiAgnieszka SzczesnaMateusz GarbulowskiMarek KimmelWe 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.http://europepmc.org/articles/PMC5295683?pdf=render |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Andrzej Polanski Agnieszka Szczesna Mateusz Garbulowski Marek Kimmel |
spellingShingle |
Andrzej Polanski Agnieszka Szczesna Mateusz Garbulowski Marek Kimmel Coalescence computations for large samples drawn from populations of time-varying sizes. PLoS ONE |
author_facet |
Andrzej Polanski Agnieszka Szczesna Mateusz Garbulowski Marek Kimmel |
author_sort |
Andrzej Polanski |
title |
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_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_sort |
coalescence computations for large samples drawn from populations of time-varying sizes. |
publisher |
Public Library of Science (PLoS) |
series |
PLoS ONE |
issn |
1932-6203 |
publishDate |
2017-01-01 |
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. |
url |
http://europepmc.org/articles/PMC5295683?pdf=render |
work_keys_str_mv |
AT andrzejpolanski coalescencecomputationsforlargesamplesdrawnfrompopulationsoftimevaryingsizes AT agnieszkaszczesna coalescencecomputationsforlargesamplesdrawnfrompopulationsoftimevaryingsizes AT mateuszgarbulowski coalescencecomputationsforlargesamplesdrawnfrompopulationsoftimevaryingsizes AT marekkimmel coalescencecomputationsforlargesamplesdrawnfrompopulationsoftimevaryingsizes |
_version_ |
1725897269198192640 |