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

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  • den Hollander, Frank
  • Nandan, Shubhamoy

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.

Suggested Citation

  • den Hollander, Frank & Nandan, Shubhamoy, 2022. "Spatially inhomogeneous populations with seed-banks: II. Clustering regime," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 116-146.
    • Handle: RePEc:eee:spapps:v:150:y:2022:i:c:p:116-146
    DOI: 10.1016/j.spa.2022.04.010
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    References listed on IDEAS

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    1. Jay T. Lennon & Frank den Hollander & Maite Wilke-Berenguer & Jochen Blath, 2021. "Principles of seed banks and the emergence of complexity from dormancy," Nature Communications, Nature, vol. 12(1), pages 1-16, December.
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