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• W4286524746 abstract "We model spatially expanding populations by means of two spatial Λ-Fleming Viot processes (or SLFVs) with selection: the k -parent SLFV and the ∞-parent SLFV. In order to do so, we fill empty areas with type 0 “ghost” individuals with a strong selective disadvantage against “real” type 1 individuals, quantified by a parameter k . The reproduction of ghost individuals is interpreted as local extinction events due to stochasticity in reproduction. When k → +∞, the limiting process, corresponding to the ∞-parent SLFV, is reminiscent of stochastic growth models from percolation theory, but is associated to tools making it possible to investigate the genetic diversity in a population sample. In this article, we provide a rigorous construction of the ∞-parent SLFV, and show that it corresponds to the limit of the k -parent SLFV when k → +∞. In order to do so, we introduce an alternative construction of the k -parent SLFV which allows us to couple SLFVs with different selection strengths and is of interest in its own right. We exhibit three different characterizations of the ∞-parent SLFV, which are valid in different settings and link together population genetics models and stochastic growth models." @default.
• W4286524746 created "2022-07-22" @default.
• W4286524746 creator A5037813929 @default.
• W4286524746 date "2023-01-01" @default.
• W4286524746 modified "2023-09-30" @default.
• W4286524746 title "Stochastic measure-valued models for populations expanding in a continuum" @default.
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• W4286524746 doi "https://doi.org/10.1051/ps/2022020" @default.
• W4286524746 hasPublicationYear "2023" @default.
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