Gene genealogies in diploid populations evolving according to sweepstakes reproduction
The study models how gene genealogies evolve in a diploid population where offspring numbers are determined by sweepstakes reproduction, a skewed reproductive mechanism. It derives continuous-time coalescents to describe ancestral relations, identifying specific types like Beta and Poisson-Dirichlet coalescents. The results show that population size changes lead to time-changed coalescents and that approximations for gene genealogies can diverge from the limiting coalescent under certain conditions.