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

Détails

Ressource 1Télécharger: BIB_1A00E5C9E3EE.P001.pdf (1473.74 [Ko])
Etat: Serval
Version: Final published version
ID Serval
serval:BIB_1A00E5C9E3EE
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.
Périodique
Journal of Theoretical Biology
Auteur(s)
Wakano J.Y., Lehmann L.
ISSN
1095-8541 (Electronic)
ISSN-L
0022-5193
Statut éditorial
Publié
Date de publication
2012
Peer-reviewed
Oui
Volume
310
Pages
206-215
Langue
anglais
Résumé
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
Création de la notice
28/06/2012 13:45
Dernière modification de la notice
03/03/2018 14:28
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