Most current models of human population structure view migration solely as a deterministic force reducing the variance in gene frequencies among the local colonies of a subdivided population. By an empirical example and through simulation experiments, it is shown that migration structured along kinship lines (by analogy to the lineal or 'kinship' effect) does not always reduce the variances of gene frequencies arising through intergenerational random genetic drift. Thus populations experiencing high rates of migration may not be genetically homogenous.
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Alan G. Fix (1978) studied this question.
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