EQUILIBRIUM FREQUENCIES OF SPOROPHYTIC SELF-INCOMPATIBILITY ALLELES
A deterministic model (Fortran computer program) was used to compute equilibrium frequencies of multiple S alleles The model permitted various numbers of alleles at three dominance levels in the pollen and with independent allele action in the stigma. Numerical solutions showed that the frequency of alleles at any one dominance level depends, in large measure, on the evenness with which the alleles are distributed among the three levels. The smaller the proportion at any one level, the greater the frequency per allele at that level. This is termed the "small number effect." It enables dominant alleles to become more frequent than recessive alleles.Recessive alleles are the more frequent at equilibrium when the dominance levels have equal numbers of alleles. The magnitude of this "recessive effect" diminishes rapidly as the number of alleles in the population is increased. Thus, its importance is less than that suggested by the previously solved cases with one or two alleles per level.With very large numbers of alleles in the population, the genotypic class frequencies at equilibrium approach frequencies generated by a modified use of the Hardy-Weinberg law. All alleles arrive at the same frequency at this limit, regardless of dominance or distribution along the dominance sequence.