Evolutionary principles for polynomial models of frequency-dependent selection

AUTOR(ES)

Curtsinger, James W.

RESUMO

A one-locus two-allele deterministic model of frequency-dependent selection is analyzed, where genotypic fitnesses [wi(q)] are assumed to be nth-degree polynomial functions of allelic frequency (q). The model encompasses many modes of selection, including intraspecies competitive interaction, brood selection, meiotic drive, cyclical selection, and mixed models. Allelic frequencies converge monotonically to locally stable equilibria provided that ǀdwi(q)/dqǀ is not large. There exists a function T(q) that is nondecreasing and locally maximized at locally stable equilibria. The rate of change of T(q) per generation is approximately equal to the additive genetic variance in fitness. T(q) is a simple function of the average effect of an allelic substitution and is closely related to Wright's “fitness function.” These results define “evolutionary landscapes” for some complex selection processes and enlarge the scope of the classical methods embodied in Wright's “mean fitness principle” and Fisher's “fundamental theorem.”

Documentos Relacionados

• Dynamics of density- and frequency-dependent selection
• Frequency-Dependent Selection for Plasmid-Containing Cells of ESCHERICHIA COLI
• Inference from Clines Stabilized by Frequency-Dependent Selection
• Overdominant Vs. Frequency-Dependent Selection at Mhc Loci
• A Frequency-Dependent Natural Selection Model for the Evolution of Social Cooperation Networks