Source: Adv. in Appl. Probab.
Volume 44, Number 2
Obtaining a closed-form sampling distribution for the coalescent with
recombination is a challenging problem. In the case of two loci, a new
framework based on an asymptotic series has recently been developed to derive
closed-form results when the recombination rate is moderate to large. In this
paper, an arbitrary number of loci is considered and combinatorial
approaches are employed to find closed-form expressions for the first couple of
terms in an asymptotic expansion of the multi-locus sampling distribution.
These expressions are universal in the sense that their functional form in
terms of the marginal one-locus distributions applies to all finite- and
infinite-alleles models of mutation.
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