Aoki K
J Math Biol. 1980 Apr;9(2):133-46. doi: 10.1007/BF00275918.
This note gives some further useful properties of the constant fitness selection model for multiple alleles which pertain to the effects of adding a new allele to n preexisting alleles in stable equilibrium. In particular the conditions are derived for the establishment of a stable equilibrium involving all n + 1 alleles. For 3 alleles (i.e. n = 2) I give a complete qualitative solution, including the case of the replacement of one diallelic polymorphism by another. As an application I discuss a possible mechanism for the evolution of polymorphism using Monte Carlo methods similar to Lewontin, Ginzburg and Tuljapurkar (1978).
本笔记给出了多等位基因恒定适合度选择模型的一些进一步有用性质，这些性质与在稳定平衡状态下向(n)个已有等位基因中添加一个新等位基因的效应有关。特别地，推导了涉及所有(n + 1)个等位基因建立稳定平衡的条件。对于三个等位基因（即(n = 2)），我给出了一个完整的定性解，包括一个双等位基因多态性被另一个取代的情况。作为一个应用，我使用类似于Lewontin、Ginzburg和Tuljapurkar（1978）的蒙特卡罗方法讨论了多态性进化的一种可能机制。
