Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

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Version: Final published version
Serval ID
serval:BIB_1A00E5C9E3EE
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.
Journal
Journal of Theoretical Biology
Author(s)
Wakano J.Y., Lehmann L.
ISSN
1095-8541 (Electronic)
ISSN-L
0022-5193
Publication state
Published
Issued date
2012
Peer-reviewed
Oui
Volume
310
Pages
206-215
Language
english
Abstract
The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established from second-order effects of selection). Here, we try to characterize long-term phenotypic evolution in finite populations from this two-allele representation of the evolutionary process. We construct a stochastic model describing evolutionary dynamics at non-rare mutant allele frequency. We then derive stability conditions based on stationary average mutant frequencies in the presence of vanishing mutation rates. We find that the second-order stability condition obtained from second-order effects of selection is identical to convergence stability. Thus, in two-allele systems in finite populations, convergence stability is enough to characterize long-term evolution under the trait substitution sequence assumption. We perform individual-based simulations to confirm our analytic results.
Pubmed
Web of science
Open Access
Yes
Create date
28/06/2012 12:45
Last modification date
20/08/2019 12:51
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