Abstract
We investigate an autoregressive diffusion approximation method applied to the Wright-Fisher model in population genetics by considering a Markov chain with Bernoulli distributed independent variables. The use of an autoregressive diffusion method and an averaged allelic frequency process lead to an Orn-stein-Uhlenbeck diffusion process with discrete time. The normalized averaged frequency process possesses independent allele frequency indicators with constant conditional variance at equilibrium. In a monoecious diploid population of size N with r generations, we consider the time to equilibrium of averaged allele frequency in a single-locus two allele pure sampling model.
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Coad, R.W. Diffusion approximation of the Wright-Fisher model of population genetics: Single-locus two alleles. Ukr Math J 52, 388–399 (2000). https://doi.org/10.1007/BF02513133
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DOI: https://doi.org/10.1007/BF02513133