Heterozygote advantage 2026-10-13
A heterozygote has greater genotype fitness than either corresponding homozygote. In the deterministic random-mating two-allele viability-selection model this gives an attracting interior allele frequency, unlike the repelling interior frequency produced by underdominance.
Let be the allele frequency of , with random mating and sufficiently large population size to neglect genetic drift. The Hardy-Weinberg proportions before selection are . Write the three genotype fitnesses as , with smaller than either homozygote value. After one viability-selection generation,
Consequently
Put , . The underdominant allele-frequency dynamics has stable fixation states zero and one, separated by the unstable threshold
Below it decreases to allele fixation of ; above it increases to fixation. Exactly at the threshold the deterministic frequency remains balanced, but any perturbation selects a side. This is underdominance, or heterozygote disadvantage, rather than balancing selection from heterozygote advantage.
In a continuous-time weak-selection or selection-rate convention, the corresponding equation is . Equal homozygote fitness gives for a positive selection strength . The next part uses this explicitly stated continuous-time convention; and migration then have the same time units.
Underdominance 2026-10-13
Underdominance means that the heterozygote has lower genotype fitness than both corresponding homozygotes. In a deterministic randomly mating biallelic population, it produces an unstable interior allele-frequency threshold separating the two fixation outcomes, unlike heterozygote advantage.