Repository: Freie Universität Berlin, Math Department

A Λ-Fleming-Viot type model with intrinsically varying population size

Kern, Julian and Wiederhold, Bastian (2023) A Λ-Fleming-Viot type model with intrinsically varying population size. Electronic Journal of Probability . (Submitted)

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We propose an extension of the classical Λ-Fleming-Viot model to intrinsically varying population sizes. During events, instead of replacing a proportion of the population, a random mass dies and a, possibly different, random mass of new individuals is added. The model can also incorporate a drift term, representing infinitesimally small, but frequent events. We investigate elementary properties of the model, analyse its relation to the Λ-Fleming-Viot model and describe a duality relationship. Through the lookdown framework, we provide a forward-in-time analysis of fixation and coming down from infinity. Furthermore, we present a new duality argument allowing one to deduce well-posedness of the measure-valued process without the necessity of proving uniqueness of the associated lookdown martingale problem.

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:3037
Deposited By: Jana Jerosch
Deposited On:17 Jan 2024 12:19
Last Modified:17 Jan 2024 12:19

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