Frank S A
Theor Popul Biol. 1986 Jun;29(3):312-42. doi: 10.1016/0040-5809(86)90013-4.
Models of sex-ratio evolution in structured populations are derived with G.R. Price's covariance form for the hierarchical analysis of natural selection (1970, Nature 227, 520-521). Previous work on competition among related males for mates (local mate competition), competition among related females for a limiting resource (local resource competition), inbreeding, group selection, and asymmetry of genetic inheritance between males and females, are subsumed under a general formulation for sex-ratio biases in structured populations. I found that the evolutionarily stable strategy sex ratio (males:females) for diploids is 1 - rho m:1 - rho f, where rho m is the regression coefficient of relatedness of the controlling genotypes on males competing for mates, rho f is the regression of controlling genotypes on females that compete for a fixed, limiting resource, and there is no inbreeding. For inbreeding and no competition among females, the evolutionarily stable strategy is 1 - rho m:1 + rho mf, where rho mf is the regression of controlling genotypes on females' mates.
利用G.R. 普赖斯的协方差形式（用于自然选择的层次分析，1970年，《自然》227卷，520 - 521页）推导了结构化种群中性比进化的模型。先前关于相关雄性之间争夺配偶的竞争（局部配偶竞争）、相关雌性之间争夺有限资源的竞争（局部资源竞争）、近亲繁殖、群体选择以及雄性和雌性之间遗传继承不对称性的研究，都被纳入了结构化种群中性比偏差的一般公式中。我发现，对于二倍体而言，进化稳定策略性比（雄性：雌性）为1 - ρm：1 - ρf，其中ρm是控制基因型与争夺配偶的雄性之间的亲缘关系回归系数，ρf是控制基因型与争夺固定有限资源的雌性之间的回归系数，且不存在近亲繁殖。对于近亲繁殖且雌性之间无竞争的情况，进化稳定策略为1 - ρm：1 + ρmf，其中ρmf是控制基因型与雌性配偶之间的回归系数。
