Modeling multiallelic selection using a Moran model.

Abstract

We present a Moran-model approach to modeling general multiallelic selection in a finite population and show how it may be used to develop theoretical models of biological systems of balancing selection such as plant gametophytic self-incompatibility loci. We propose new expressions for the stationary distribution of allele frequencies under selection and use them to show that the continuous-time Markov chain describing allele frequency change with exchangeable selection and Moran-model reproduction is reversible. We then use the reversibility property to derive the expected allele frequency spectrum in a finite population for several general models of multiallelic selection. Using simulations, we show that our approach is valid over a broader range of parameters than previous analyses of balancing selection based on diffusion approximations to the Wright-Fisher model of reproduction. Our results can be applied to any model of multiallelic selection in which fitness is solely a function of allele frequency.

DOI: 10.1534/genetics.108.089474

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Cite this paper

@article{Muirhead2009ModelingMS, title={Modeling multiallelic selection using a Moran model.}, author={Christina A. Muirhead and John Wakeley}, journal={Genetics}, year={2009}, volume={182 4}, pages={1141-57} }