Spatially inhomogeneous populations with seed-banks: II. Clustering regime

Frank den Hollander and Shubhamoy Nandan

Stochastic Processes and their Applications, 2022, vol. 150, issue C, 116-146

Abstract: We consider a spatial version of the classical Moran model with seed-banks where the constituent populations have finite sizes. Individuals live in colonies labelled by Zd, d≥1, playing the role of a geographic space, carry one of two types, ♡ or ♠, and change type via resampling as long as they are active. Each colony contains a seed-bank into which individuals can enter to become dormant, suspending their resampling until they exit the seed-bank and become active again. Individuals resample not only from their own colony, but also from other colonies according to a symmetric random walk transition kernel. The latter is referred to as migration. The sizes of the active and the dormant populations depend on the colony and remain constant throughout the evolution.

Keywords: Moran model; Resampling; Migration; Seed-bank; Duality; Coexistence versus clustering (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2022.04.010

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