Random temporal variation in selection intensities: One-locus two-allele model

Abstract

The paper formulates a one locus two allele diploid model influenced by temporal random selection intensities. The concept of stochastic local stability for equilibria states is formulated. Necessary and sufficient conditions are derived for the stochastic local stability of the fixation states for non-dominant and dominant traits. A general model, where a fixed polymorphic equilibrium is maintained is investigated. The complete local evolutionary picture is derived and some cases of global convergence are established.