MIGRATION AND GENETIC DRIFT IN HUMAN POPULATIONS

Abstract

In humans and many other species, mortality is concentrated early in the life cycle, and is low during the ages of dispersal and reproduction. Yet precisely the opposite is assumed by classical population-genetics models of migration and genetic drift. We introduce a model in which population regulation occurs before migration. In contrast to the conventional model, our model implies that geographic variation in the allele frequencies of newborns should exceed that of adults. Thus, it is important to distinguish genetic variation of adults from that of newborns in species with human-like life cycles. Classical models deal with the variance of group allele frequencies about the allele frequency of a hypothetical “continent” or “foundation stock.” Empirical studies, however, can only measure “reduced” variance, i.e., variance about the current population mean. Our model deals with reduced variance, and should therefore be more relevant to field studies. We show that reduced variance converges faster, which implies that populations are more likely to be at equilibrium with respect to reduced than unreduced variance. To summarize the effect of migration on genetic population structure, we introduce a new parameter, the effective migration rate. Unlike most population structure statistics, it does not confound the effects of mobility and population size, and it should therefore be useful for comparisons between populations. Finally, we show that the difference between geographic variation of newborn and adult allele frequencies contains information about both effective population size and effective migration rate.