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Genetics, Vol 120, 853-856, Copyright © 1988
INVESTIGATIONS |
KING'S Formula for the Mutation Load with Epistasis
A. S. Kondrashov and J. F. Crow
Research Computer Center, Academy of Sciences, Pushchino, Moscow Region 142295, USSR
A formula by J. L. King gives the equilibrium mutation load as L = 2{sigma}u(i)(1 - q(i))/z-x) in which u(i) is the mutation rate to deleterious alleles at the ith locus, q(i) is the frequency of mutant alleles at this locus, x is the mean number of such mutant genes per individual before selection, z is the mean number in individuals eliminated by selection, and the summation is over all relevant loci. We show that this rule is inaccurate for intense selection and that a correct formula is L = 2{sigma}u(i)(1 - q(i)) w/(z - x) = 2U w/(z - x) = 2U/(z - x + 2U) in which U is the mean number of new mutations per haploid genome in the population and w is the mean relative fitness before selection. If w/(z - x) < 1/2, the mutation load is less than the Haldane value (U </= L </= 2U) and can be considerably less. In a diploid asexual population, however, with independent occurrence of mutations, L = 1 -e(-2U) regardless of the mode of selection.
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