Diffusion approximation of the Wright-Fisher model of population genetics: Single-locus two alleles

  • R. W. Coad


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.
How to Cite
Coad, R. W. “Diffusion Approximation of the Wright-Fisher Model of Population Genetics: Single-Locus Two Alleles”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 52, no. 3, Mar. 2000, pp. 336-45, https://umj.imath.kiev.ua/index.php/umj/article/view/4423.
Research articles