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.
Past exam of the mathematics course of the University of Cambridge 2001 iii Paper 52 5 a Solution Created 2026-10-03 Updated 2026-10-14
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,ConsequentlyPut , . The underdominant allele-frequency dynamics has stable fixation states zero and one, separated by the unstable thresholdBelow 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.
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.