title: Recursions for the exchangeable partition function of the seedbank coalescent.
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.
authors.affiliation: Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany. Electronic address: kurt@math.tu-berlin.de.
authors.forename: Noemi
authors.initials: N
authors.lastname: Kurt
authors.affiliation: Institut für Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany. Electronic address: rafler@tu-berlin.de.
authors.forename: Mathias
authors.initials: M
authors.lastname: Rafler
mesh_terms: D000483:Alleles; D005789:Genealogy and Heraldry; D005828:Genetics, Population; D008957:Models, Genetic; D009154:Mutation; D000068098:Seed Bank
keywords: Coalescent; Exchangeable partition probability function; Infinite alleles; Seedbank