The stationary distribution of a continuously varying strategy in a class-structured population under mutation-selection-drift balance.

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Serval ID
serval:BIB_8D290828E8E8
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
The stationary distribution of a continuously varying strategy in a class-structured population under mutation-selection-drift balance.
Journal
Journal of Evolutionary Biology
Author(s)
Lehmann L.
ISSN
1420-9101 (Electronic)
ISSN-L
1010-061X
Publication state
Published
Issued date
2012
Peer-reviewed
Oui
Volume
25
Number
4
Pages
770-787
Language
english
Abstract
Many traits and/or strategies expressed by organisms are quantitative phenotypes. Because populations are of finite size and genomes are subject to mutations, these continuously varying phenotypes are under the joint pressure of mutation, natural selection and random genetic drift. This article derives the stationary distribution for such a phenotype under a mutation-selection-drift balance in a class-structured population allowing for demographically varying class sizes and/or changing environmental conditions. The salient feature of the stationary distribution is that it can be entirely characterized in terms of the average size of the gene pool and Hamilton's inclusive fitness effect. The exploration of the phenotypic space varies exponentially with the cumulative inclusive fitness effect over state space, which determines an adaptive landscape. The peaks of the landscapes are those phenotypes that are candidate evolutionary stable strategies and can be determined by standard phenotypic selection gradient methods (e.g. evolutionary game theory, kin selection theory, adaptive dynamics). The curvature of the stationary distribution provides a measure of the stability by convergence of candidate evolutionary stable strategies, and it is evaluated explicitly for two biological scenarios: first, a coordination game, which illustrates that, for a multipeaked adaptive landscape, stochastically stable strategies can be singled out by letting the size of the gene pool grow large; second, a sex-allocation game for diploids and haplo-diploids, which suggests that the equilibrium sex ratio follows a Beta distribution with parameters depending on the features of the genetic system.
Keywords
Animals, Biological Evolution, Game Theory, Genetic Drift, Genetics, Population, Models, Genetic, Mutation, Selection, Genetic
Pubmed
Web of science
Open Access
Yes
Create date
14/01/2012 0:24
Last modification date
20/08/2019 14:51
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