Abstract
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).
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Aoki, K. A criterion for the establishment of a stable polymorphism of higher order with an application to the evolution of polymorphism. J. Math. Biology 9, 133–146 (1980). https://doi.org/10.1007/BF00275918
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DOI: https://doi.org/10.1007/BF00275918