Abstract
A formula is derived for the probability that two genes taken at random from the same locus in two populations isolated at time t ago are of the same allelic type. The model assumed is a neutral one where there are possibly different mutation rates between different alleles. Inequalities are derived for this probability. A particular result is that for a fixed overall mutation rate, the probability is least for the infinite alleles model. Inequalities and approximations are found for Nei's genetic identity at one locus when mutation rates vary, and also for the identity across loci when the overall mutation rates per locus vary. Genetic identity at the molecular level is considered and a probability generating function found for the number of segregating sites between two randomly chosen gametes from two divergent populations, under various models.
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Griffiths, R.C. Genetic identity between populations when mutation rates vary within and across loci. J. Math. Biology 10, 195–204 (1980). https://doi.org/10.1007/BF00275842
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DOI: https://doi.org/10.1007/BF00275842