ROLE OF EPISTASIS AND OVERDOMINANCE IN STABILITY OF EQUILIBRIA WITH SELECTION

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Abstract
The conditions for stable equilibria when genes exhibit epistasis, assuming 2 alleles per locus, constant genotype values, free recombination and random mating, are that overdominance occurs at each of the two loci, and that the geometric mean of the dominance variances from each locus be larger than the additive X additive variance for 2 loci. For more than 2 loci, assuming that all loci have equal effects and the same gene frequencies at equilibrium more dominance tends to maintain stable equilibria while more additive X additive epistasis tends to destroy stable equilibria.