Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2008-11-10
Biology
Quantitative Biology
Populations and Evolution
Scientific paper
We examine genetic statistics used in the study of structured populations. In a 1999 paper, Wakeley observed that the coalescent process associated with the finite island model can be decomposed into a scattering phase and a collecting phase. In this paper, we introduce a class of population structure models, which we refer to as G/KC models, that obey such a decomposition. In a large population, large sample limit we derive the distribution of the statistic Fst for all G/KC models under the assumptions of strong or weak mutation. We show that in the large population, large sample limit the island and two dimensional stepping stone models are members of the G/KC class of models, thereby deriving the distributions of Fst for these two well known models as a special case of a general formula. We show that our analysis of Fst can be extended to an entire class of genetic statistics, and we use our approach to examine homozygosity measures. Our analysis uses coalescent based methods.
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