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Pacific Salmon and the Coalescent Effective Population Size
Pacific salmon include several species that are both commercially important and endangered. Understanding the causes of loss in genetic variation is essential for designing better conservation strategies. Here we use a coalescent approach to analyze a model of the complex life history of salmon, and...
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Formato: | Texto |
Lenguaje: | English |
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Public Library of Science
2010
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2946355/ https://www.ncbi.nlm.nih.gov/pubmed/20885947 http://dx.doi.org/10.1371/journal.pone.0013019 |
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author | Cenik, Can Wakeley, John |
author_facet | Cenik, Can Wakeley, John |
author_sort | Cenik, Can |
collection | PubMed |
description | Pacific salmon include several species that are both commercially important and endangered. Understanding the causes of loss in genetic variation is essential for designing better conservation strategies. Here we use a coalescent approach to analyze a model of the complex life history of salmon, and derive the coalescent effective population (CES). With the aid of Kronecker products and a convergence theorem for Markov chains with two time scales, we derive a simple formula for the CES and thereby establish its existence. Our results may be used to address important questions regarding salmon biology, in particular about the loss of genetic variation. To illustrate the utility of our approach, we consider the effects of fluctuations in population size over time. Our analysis enables the application of several tools of coalescent theory to the case of salmon. |
format | Text |
id | pubmed-2946355 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2010 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-29463552010-09-30 Pacific Salmon and the Coalescent Effective Population Size Cenik, Can Wakeley, John PLoS One Research Article Pacific salmon include several species that are both commercially important and endangered. Understanding the causes of loss in genetic variation is essential for designing better conservation strategies. Here we use a coalescent approach to analyze a model of the complex life history of salmon, and derive the coalescent effective population (CES). With the aid of Kronecker products and a convergence theorem for Markov chains with two time scales, we derive a simple formula for the CES and thereby establish its existence. Our results may be used to address important questions regarding salmon biology, in particular about the loss of genetic variation. To illustrate the utility of our approach, we consider the effects of fluctuations in population size over time. Our analysis enables the application of several tools of coalescent theory to the case of salmon. Public Library of Science 2010-09-27 /pmc/articles/PMC2946355/ /pubmed/20885947 http://dx.doi.org/10.1371/journal.pone.0013019 Text en Cenik, Wakeley. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
spellingShingle | Research Article Cenik, Can Wakeley, John Pacific Salmon and the Coalescent Effective Population Size |
title | Pacific Salmon and the Coalescent Effective Population Size |
title_full | Pacific Salmon and the Coalescent Effective Population Size |
title_fullStr | Pacific Salmon and the Coalescent Effective Population Size |
title_full_unstemmed | Pacific Salmon and the Coalescent Effective Population Size |
title_short | Pacific Salmon and the Coalescent Effective Population Size |
title_sort | pacific salmon and the coalescent effective population size |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2946355/ https://www.ncbi.nlm.nih.gov/pubmed/20885947 http://dx.doi.org/10.1371/journal.pone.0013019 |
work_keys_str_mv | AT cenikcan pacificsalmonandthecoalescenteffectivepopulationsize AT wakeleyjohn pacificsalmonandthecoalescenteffectivepopulationsize |