We study the genealogical structure of a population with stochastically fluctuating size. If such fluctuations, after suitable rescaling, can be approximated by a nice continuous-time process, we prove weak convergence in the Skorokhod topology of the scaled ancestral process to a stochastic time change of Kingman's coalescent, the time change being given by an additive functional of the limiting backward size process.
No takes yet. Share an insight, caveat, or question.
Kaj et al. (2003) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: