Recursions for the exchangeable partition function of the seedbank coalescent

Noemi Kurt and Mathias Rafler

Theoretical Population Biology, 2017, vol. 114, issue C, 95-106

Abstract: For the seedbank coalescent with mutation under the infinite alleles assumption, which describes the gene genealogy of a population with a strong seedbank effect subject to mutations, we study the distribution of the final partition with mutation. This generalizes the coalescent with freeze by Dong et al. (2007) to coalescents where ancestral lineages are blocked from coalescing. We derive an implicit recursion which we show to have a unique solution and give an interpretation in terms of absorption problems of a random walk. Moreover, we derive recursions for the distribution of the number of blocks in the final partition.

Keywords: Seedbank; Coalescent; Exchangeable partition probability function; Infinite alleles (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:114:y:2017:i:c:p:95-106

DOI: 10.1016/j.tpb.2016.12.002

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