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2020 The seed bank coalescent with simultaneous switching
Jochen Blath, Adrián González Casanova, Noemi Kurt, Maite Wilke-Berenguer
Electron. J. Probab. 25(none): 1-21 (2020). DOI: 10.1214/19-EJP401

Abstract

We introduce a new Wright-Fisher type model for seed banks incorporating “simultaneous switching”, which is motivated by recent work on microbial dormancy ([21], [28]). We show that the simultaneous switching mechanism leads to a new jump-diffusion limit for the scaled frequency processes, extending the classical Wright-Fisher and seed bank diffusion limits. We further establish a new dual coalescent structure with multiple activation and deactivation events of lineages. While this seems reminiscent of multiple merger events in general exchangeable coalescents, it actually leads to an entirely new class of coalescent processes with unique qualitative and quantitative behaviour. To illustrate this, we provide a novel kind of condition for coming down from infinity for these coalescents, applying a recent approach of Griffiths [12].

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Jochen Blath. Adrián González Casanova. Noemi Kurt. Maite Wilke-Berenguer. "The seed bank coalescent with simultaneous switching." Electron. J. Probab. 25 1 - 21, 2020. https://doi.org/10.1214/19-EJP401

Information

Received: 14 February 2019; Accepted: 8 December 2019; Published: 2020
First available in Project Euclid: 21 February 2020

zbMATH: 1435.60058
MathSciNet: MR4073688
Digital Object Identifier: 10.1214/19-EJP401

Subjects:
Primary: 60K35
Secondary: 92D10

JOURNAL ARTICLE
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