Ancestral lineages in spatial population models with local regulation
arXiv:1912.02558 · doi:10.4171/ECR/17-1/14
Abstract
We give a short overview on our work on ancestral lineages in spatial population models with local regulation. We explain how an ancestral lineage can be interpreted as a random walk in a dynamic random environment. Defining regeneration times allows to prove central limit theorems for such walks. We also consider several ancestral lineages in the same population and show for one prototypical example that in one dimension the corresponding system of coalescing walks converges to the Brownian web.
This text will appear as a chapter in the proceedings volume of DFG SPP Priority Programme 1590 Probabilistic Structures in Evolution
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