EVOLUTIONARILY STABLE ALLELE DISTRIBUTIONS

For the one-locus m-allele case we give a definition of an Evolutionar ily Stable Allele Distribution (ESAD) for sexual populations, such tha t the associated game dynamics is a modified Fisher selection equation . For the ESAD we prove some basic statements which are parallel to th ose known in classical ESS theory. For an illustration, considering a two-allele dominant inheritance, we show that, if there is only a game -theoretical conflict within the population land no Fisher type select ion) then the ESS of the asexual population and the ESAD of the sexual one provide the same phenotype distribution. We also give an example of a two-allele non-dominant inheritance where the phenotype distribut ions corresponding to ESS and ESAD differ, the mean fitnesses of the t wo populations at their evolutionarily stable states, however, are equ al. (C) 1998 Academic Press Limited.