F‐statistics of clonal diploids structured in numerous demes

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Abstract
The expected apportionment of genetic diversity in diploid clonal organisms structured in numerous subpopulations is explored. Under the specific assumptions considered, corresponding, for instance, to clonal pathogens infecting a large number of hosts, the co-ancestry between individuals within subpopulations is the only nontrivial quantity. Thus the population structure can be fully described either by F(ST) or F(IS), as F(ST) = -F(IS)/(1 - F(IS)). We show that, for most of the parameter space considered, including simulations where equilibrium is not reached and/or where homoplasy is high, the number of effective migrants is most accurately estimated as Nm = -(1 + F(IS))/4F(IS). We further propose a criterion to test for the absence of cryptic sexual reproduction based on the F-statistics F(IS) and F(ST), which is applied to three previously published empirical data sets.