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A set of sufficient conditions to maintain heterozygosity in a spatially heterogeneous environment when random mating occurs within each niche or with more general spatial pattern of mating are derived. These are obtained by finding the necessary and sufficient conditions for 0 and 1 to be unstable. They are the same set of inequalities as derived by Levene (1953). Thus having mating occur within each niche does not make the conditions more favorable for the maintenance of heterozygosity. Also the conditions sufficient to maintain polymorphism when there is complete dominance are derived and agree with the inequalities derived by Prout (1968) for Levene's model.
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Curtis Strobeck (1974) studied this question.
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