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Note on Migration Modification

The generalization of Balkau and Feldman's (1973) migration modification model by Gillespie (1981) merits discussion because it is predicated on a tacit assumption about the migration structure which may be overlooked by the casual reader. Although the assumption is natural for some circumstances and a reasonable approximation for other cases, there may be significant deviation from the conclusions of the model when the assumption is not appropriate. The model (Gillespie 1981) consists of two linked loci in a subdivided population: A, upon which selection acts and B, which determines the migratory tendency but is selectively neutral. If we assume that there is no selection (i.e., ignore locus A), Gillespie's equation (1) which governs the change in the B allele frequency in the jth deme reduces to