Effect of cultural inheritance of reproductive compensation on the incidence of a sex-linked lethal disease

For a sex-linked recessive lethal disease, a model is constructed to study reproductive compensation for having at least one normal male with partial cultural inheritance. The equilibrium frequency of heterozygous females depends on the probability that a female offspring of the compensating parents will not compensate, α, the probability that a female offspring of the non-compensating parents will compensate, β, and the mutation rate, u. When α = 0, the equilibrium frequency of heterozygous females is given by √2u, whereas when α ≠ 0 it is given by 2{β +(2α + β) (α + β)}/{α(α + β)}]u.Then, the proportion of affected males due to fresh mutations is much smaller than Haldane's estimate of $\text{1}\text{3}$ without reproductive compensation.