## Abstract

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 1 3 without reproductive compensation.

Original language | English |
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Pages (from-to) | 389-395 |

Number of pages | 7 |

Journal | Journal of Theoretical Biology |

Volume | 99 |

Issue number | 2 |

DOIs | |

State | Published - 21 Nov 1982 |

Externally published | Yes |

### Bibliographical note

Funding Information:Comments by an anonymous review are appreciated. This work was supported by USPHS grants GM-28672 and MH-31302 to S.Y. and AG-02246 to A.R.T.

## ASJC Scopus subject areas

- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics