Testing the generalized neutrality hypothesis

Various tests of the hypothesis of selective neutrality based on gene frequency are now available. These tests take as null hypothesis the concept of “strict neutrality”: all new mutants are required to be selectively identical to each other. For evolutionary questions, however, (as opposed to those of genetic polymorphism), a wider null hypothesis might be of interest. Since deleterious alleles have essentially no evolutionary importance, one might wish to test the null hypothesis that only neutral or deleterious mutations occur. The principal alternative to this hypothesis is that there exists heterotic selection of some form for some alleles tending to maintain a level of genetic polymorphism higher than that under neutrality. In this paper an assessment is made of the usefulness of a test of strict neutrality first proposed by this author (Ewens, 1972) as a test of null hypothesis of “generalized neutrality,” i.e. that only neutral or deleterious alleles occur. At the same time some remarks will be made about estimation of the fundamental parameter θ defining these processes.