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A General Model to Account for Enzyme Variation in Natural Populations. III. Multiple Alleles
John H. Gillespie
Vol. 31, No. 1 (Mar., 1977), pp. 85-90
Published by: Society for the Study of Evolution
Stable URL: http://www.jstor.org/stable/2407547
Page Count: 6
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The recent findings of increased numbers of alleles at enzyme loci suggests that models of balancing selection must use biologically motivated constraints of the fitnesses if stable, multiple-allele equilibria are to be explained. The constraints introduced in Gillespie (1976) that enzyme activity is an additive trait across alleles and that fitness is a concave function of enzyme activity--is shown in this paper to allow the maintainance of an arbitrarily large number of alleles in a randomly fluctuating environment. The condition for polymorphism for n alleles requires, roughly, that the mean difference in activity between neighboring homozygous genotypes is less than twice the variance in activity divided by the square of the number of alleles.
Evolution © 1977 Society for the Study of Evolution