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• W2005058417 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." @default.
• W2005058417 created "2016-06-24" @default.
• W2005058417 creator A5000731182 @default.
• W2005058417 creator A5023411287 @default.
• W2005058417 date "2012-10-01" @default.
• W2005058417 modified "2023-10-16" @default.
• W2005058417 title "Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models" @default.
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• W2005058417 doi "https://doi.org/10.1016/j.jtbi.2012.06.036" @default.
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