Generalized Stepping Stone Model with Ξ-resampling Mechanism

The rate of convergence of the block counting process of exchangeable coalescents with dust

“…In different mathematical context, the notion of a 'multi-type coalescent point process' also appears in the work of Popovic and Rivas [37], which is mentioned for completeness here. We would also like to draw the attention of the reader to the recent preprint of Allen and McAvoy [1] for a coalescent with a general spatial and genetic structure and to the work of Liu and Zhou [30] for a forward stepping stone model with Ξ-resampling mechanism.…”

“…does not depend on i and (30) follows from (27). Note that the transition probability π ij in (30) neither depends on i nor on the offspring sizes ν 1,N , . .…”