A criterion for the establishment of a stable polymorphism of higher order with an application to the evolution of polymorphism
A criterion for the establishment of a stable polymorphism of higher order with an application to the evolution of polymorphism
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建立稳定高阶多态性的判据及其在多态性演化中的应用
DOI：
10.1007/bf00275918
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发表时间：
1980
影响因子：
1.9
通讯作者：
K. Aoki
中科院分区：
文献类型：
--
作者：
K. Aoki
本文给出了多个等位基因的常数适应度选择模型的一些进一步的有用性质，这些性质与在稳定平衡中向n个预先存在的等位基因添加一个新等位基因的影响有关。特别是导出的条件建立一个稳定的平衡，涉及所有n + 1等位基因。对于3个等位基因（即n = 2），我给出了一个完整的定性解决方案，包括一个双等位基因多态性被另一个替换的情况。作为一个应用程序，我讨论了一个可能的机制，多态性的演变使用Monte Carlo方法类似Lewontin，Ginzburg和Tuljapurkar（1978）。
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).