A voter-model representation of the multi-allelic Moran process: Exact stationary distributions and diversity thresholds from well-mixed populations to complex networks.

Abstract excerpt

We extend the equivalence between the two-allele Moran process and the two-candidate voter model in a finite population to the multi-allele Moran process with parent-independent mutation and a multi-candidate voter model. This exact mapping yields a concise derivation of the finite-population Dirichlet-multinomial stationary distribution for the labeled allele-count vector in fully mixed populations of size n...

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