Existence of steady-state probability distributions in multilocus models for genotype evolution (Q1069880)

It is shown that a representative Fisher-Wright model with n(\(\geq 3)\) diallelic loci admits a necessary condition for existence of a time- independent steady-state probability distribution. This necessary condition states that a global integral depending on the phenotype fitness functions of natural selection must be larger than a certain quantity depending on the parameters associated with genetic drift.