Asymptotic behaviour of an infinitely-many-alleles diffusion with symmetric overdominance

Youzhou Zhou

Stochastic Processes and their Applications, 2014, vol. 124, issue 8, 2771-2798

Abstract: This paper considers the limiting distribution of πλ,θ, the stationary distribution of the infinitely-many-alleles diffusion with symmetric overdominance (Ethier and Kurtz, 1998). In Feng (2009) the large deviation principle for πλ,θ indicates that there are countably many phase transitions for the limiting distribution of πλ,θ, and the critical points are λ=k(k+1),k≥1. The asymptotic behaviours at those critical points, however, are unclear. This article provides a definite description of the critical cases.

Keywords: Homozygosity; Phase transition; Overdominant selection (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:124:y:2014:i:8:p:2771-2798

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DOI: 10.1016/j.spa.2014.03.011

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