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 Population genetics is a genetic subfield that deals with genetic differences within and among populations, and is a part of evolutionary biology. Studies in this branch of biology examine phenomena such as adaptation, speciation and population structure. Genetics of populations was a vital ingredient in the emergence of modern evolutionary synthesis. The population genetics mathematics was originally developed as the starting point for modern synthesis. Population genetics attempts to explain how and why allel and genotypical frequencies shift over time within and between populations. Population genetic studies promote the detection of disease risk-related alleles and provide insight into the impact of medical action on the incidence of a disease in a population. Frequencies of allle and genotype depend on factors such as matting patterns, population size and distribution, mutation, migration and selection. Population geneticists pursue their goals by developing abstract mathematical models of gene frequency dynamics, trying to extract conclusions from those models about the likely patterns of genetic variation in actual populations, and testing the conclusions against empirical data

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