King's Formula for the Mutation Load with Epistasis

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RESUMO

A formula by J. L. King gives the equilibrium mutation load as L = 2σu(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 = 2σu(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

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