Polymorphism resulting from the mating advantage of rare male genotypes.

An algebraic model is presented for selection by the mating advantage of rare genotypes. In accordance with the results of recent experiments, the selective advantage is formulated as inversely proportional to genotype frequency. The model applies to any number of alleles at an autosomal locus or at a sex-linked locus, and it provides for a different intensity of selection for each genotype in each sex. The frequency of an allele under this selection proceeds to a stable, nontrivial equilibrium when any one of the genotypes carrying the allele and any one of those carrying another allele possess some degree of the advantage which varies inversely with genotype frequency. The changes in gene frequency are not affected by the mating system, being, for instance, the same with random mating as with inbreeding. With low values for the selection parameters, genetic polymorphisms could be maintained with little selection apparent except at rather low or rather high gene frequencies. The rare genotype advantage may be a significant element among the mechanisms which maintain the extensive genetic polymorphisms of natural populations.