Admixed populations result from the amalgamation of two or more source groups that have largely been separated for enough time to develop distinctive patterns of genetic variation. Genetic variation in populations recently formed by admixture has characteristic features not shared with populations that have not been formed by an admixture process. This talk will present a series of mathematical results on the properties of genetic variation in admixed populations. Two modeling frameworks will be considered: a commonly used non-mechanistic statistical model of admixture, in which allele frequencies in an admixed population are described by a linear combination of allele frequencies in the source populations, and a new mechanistic model, in which an admixed population represents the outcome of specific assumptions about the admixture process over a series of discrete generations.
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