TESTING FOR SELECTIVE NEUTRALITY OF ELECTROPHORETICALLY DETECTABLE PROTEIN POLYMORPHISMS

B. S. Weir ¹, A. H. D. Brown ², and D. R. Marshall ²

¹ Department of Statistics, North Carolina State University, P. O. Box 5457, Raleigh, North Carolina 27607
² CSIRO, Division of Plant Industry, P.O. Box 1600, Canberra, A.C.T., 2601, Australia

The statistical assessment of gene-frequency data on protein polymorphisms in natural populations remains a contentious issue. Here we formulate a test of whether polymorphisms detected by electrophoresis are in accordance with the stepwise, or charge-state, model of mutation in finite populations in the absence of selection. First, estimates of the model parameters are derived by minimizing chi-square deviations of the observed frequencies of genotypes with alleles (0,1,2...) units apart from their theoretical expected values. Then the remaining deviation is tested under the null hypothesis of neutrality. The procedure was found to be conservative for false rejections in simulation data. We applied the test to Ayala and Tracey 's data on 27 allozymic loci in six populations of Drosophila willistoni . About one-quarter of polymorphic loci showed significant departure from the neutral theory predictions in virtually all populations. A further quarter showed significant departure in some populations. The remaining data showed an acceptable fit to the charge state model. A predominating mode of selection was selection against alleles associated with extreme electrophoretic mobilities. The advantageous properties and the difficulties of the procedure are discussed.

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