PMID: 11909111Mar 23, 2002Paper

Stability and instability of polymorphic populations and the role of multiple breeding seasons in phase III of Wright's shifting balance theory

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M A M de AguiarM Baranger

Abstract

It is generally difficult for a large population at a fitness peak to acquire the genotypes of a higher peak, because the intermediates produced by allelic recombination between types at different peaks are of lower fitness. In his shifting-balance theory, Wright proposed that fitter genotypes could, however, become fixed in small isolated demes by means of random genetic fluctuations. These demes would then try to spread their genome to nearby demes by migration of their individuals. The resulting polymorphism, the coexistence of individuals with different genotypes, would give the invaded demes a chance to move up to a higher fitness peak. This last step of the process, namely, the invasion of lower fitness demes by higher fitness genotypes, is known as phase III of Wright's theory. Here we study the invasion process from the point of view of the stability of polymorphic populations. Invasion occurs when the polymorphic equilibrium, established at low migration rates, becomes unstable. We show that the instability threshold depends sensitively on the average number of breeding seasons of individuals. Iteroparous species (with many breeding seasons) have lower thresholds than semelparous species (with a single breeding season)...Continue Reading

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Citations

Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hiroki SayamaMichel Baranger

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