BooksecrCollected Volumepp. 291–310

Ancestral lineages in spatial population models with local regulation

  • Matthias Birkner

    Johannes-Gutenberg-Universität Mainz, Germany
  • Nina Gantert

    TU München, Garching, Germany
Ancestral lineages in spatial population models with local regulation cover

A subscription is required to access this book chapter.

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.