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- W4297922018 abstract "We consider diploid bi-parental analogues of Cannings models: in a population of fixed size $N$ the next generation is composed of $V_{i,j}$ offspring from parents $i$ and $j$, where $V=(V_{i,j})_{1le ineq j le N}$ is a (jointly) exchangeable (symmetric) array. Every individual carries two chromosome copies, each of which is inherited from one of its parents. We obtain general conditions, formulated in terms of the vector of the total number of offspring to each individual, for the convergence of the properly scaled ancestral process for an $n$-sample of genes towards a ($Xi$-)coalescent. This complements Mohle and Sagitov's (2001) result for the haploid case and sharpens the profile of Mohle and Sagitov's (2003) study of the diploid case, which focused on fixed couples, where each row of $V$ has at most one non-zero entry. We apply the convergence result to several examples, in particular to two diploid variations of Schweinsberg's (2003) model, leading to Beta-coalescents with two-fold and with four-fold mergers, respectively." @default.
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- W4297922018 date "2017-09-08" @default.
- W4297922018 modified "2023-09-27" @default.
- W4297922018 title "Coalescent results for diploid exchangeable population models" @default.
- W4297922018 doi "https://doi.org/10.48550/arxiv.1709.02563" @default.
- W4297922018 hasPublicationYear "2017" @default.
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