Karlin S, Raper J
Department of Mathematics, Stanford University, California 94305.
Theor Popul Biol. 1990 Dec;38(3):306-30. doi: 10.1016/0040-5809(90)90017-p.
An analysis of equilibria and dynamics of the means, variances, and covariances of female mating preference for a quantitative male secondary sexual character following a Gaussian model is presented. For many combinations of viability and sexual selection parameters the evolving Gaussian distribution of phenotypes can diverge. The results on the cases of convergence and their limiting forms suggest some reinterpretations of Fisher's "runaway" process of sexual selection. One possibility is to interpret Fisher's postulated "initial advantage not due to female preference" as a shift in viability selection where runaway evolution occurs if the mean preferred trait evolves beyond its new viability optimum (due to sexual selection). This definition is contrasted with situations in which the new viability optimum is undershot. The quantitative and qualitative conclusions differ from models that approximate genetic covariance evolution involving a constant covariance.
本文对遵循高斯模型的雌性对雄性定量第二性征交配偏好的均值、方差和协方差的平衡与动态进行了分析。对于生存力和性选择参数的许多组合，不断演变的表型高斯分布可能会发散。关于收敛情况及其极限形式的结果表明，需要对费希尔的性选择“失控”过程进行一些重新解释。一种可能性是将费希尔假定的“非因雌性偏好的初始优势”解释为生存力选择的转变，即如果平均偏好性状进化到超过其新的生存力最优值（由于性选择），就会发生失控进化。该定义与新的生存力最优值未达到的情况形成对比。定量和定性结论与涉及恒定协方差的近似遗传协方差进化模型不同。
