@article {709646, title = {Modeling multiallelic selection using a Moran model.}, journal = {Genetics}, volume = {182}, year = {2009}, pages = {1141-1157}, 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{\textendash}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.\ 

}, author = {Muirhead, C. and Wakeley, J.} }