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Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects
We consider an infinitely large population under stabilizing selection and mutation in which the allelic effects determining a polygenic trait vary between loci. We obtain analytical expressions for the stationary genetic variance as a function of the distribution of effects, mutation rate, and sele...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Genetics Society of America
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4478537/ https://www.ncbi.nlm.nih.gov/pubmed/25834214 http://dx.doi.org/10.1534/g3.115.017970 |
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author | Jain, Kavita Stephan, Wolfgang |
author_facet | Jain, Kavita Stephan, Wolfgang |
author_sort | Jain, Kavita |
collection | PubMed |
description | We consider an infinitely large population under stabilizing selection and mutation in which the allelic effects determining a polygenic trait vary between loci. We obtain analytical expressions for the stationary genetic variance as a function of the distribution of effects, mutation rate, and selection coefficient. We also study the dynamics of the allele frequencies, focusing on short-term evolution of the phenotypic mean as it approaches the optimum after an environmental change. We find that when most effects are small, the genetic variance does not change appreciably during adaptation, and the time until the phenotypic mean reaches the optimum is short if the number of loci is large. However, when most effects are large, the change of the variance during the adaptive process cannot be neglected. In this case, the short-term dynamics may be described by those of a few loci of large effect. Our results may be used to understand polygenic selection driving rapid adaptation. |
format | Online Article Text |
id | pubmed-4478537 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Genetics Society of America |
record_format | MEDLINE/PubMed |
spelling | pubmed-44785372015-06-29 Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects Jain, Kavita Stephan, Wolfgang G3 (Bethesda) Investigations We consider an infinitely large population under stabilizing selection and mutation in which the allelic effects determining a polygenic trait vary between loci. We obtain analytical expressions for the stationary genetic variance as a function of the distribution of effects, mutation rate, and selection coefficient. We also study the dynamics of the allele frequencies, focusing on short-term evolution of the phenotypic mean as it approaches the optimum after an environmental change. We find that when most effects are small, the genetic variance does not change appreciably during adaptation, and the time until the phenotypic mean reaches the optimum is short if the number of loci is large. However, when most effects are large, the change of the variance during the adaptive process cannot be neglected. In this case, the short-term dynamics may be described by those of a few loci of large effect. Our results may be used to understand polygenic selection driving rapid adaptation. Genetics Society of America 2015-03-31 /pmc/articles/PMC4478537/ /pubmed/25834214 http://dx.doi.org/10.1534/g3.115.017970 Text en Copyright © 2015 Jain and Stephan http://creativecommons.org/licenses/by/3.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution Unported License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Investigations Jain, Kavita Stephan, Wolfgang Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title | Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title_full | Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title_fullStr | Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title_full_unstemmed | Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title_short | Response of Polygenic Traits Under Stabilizing Selection and Mutation When Loci Have Unequal Effects |
title_sort | response of polygenic traits under stabilizing selection and mutation when loci have unequal effects |
topic | Investigations |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4478537/ https://www.ncbi.nlm.nih.gov/pubmed/25834214 http://dx.doi.org/10.1534/g3.115.017970 |
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