A branching process with coalescence to model random phylogenetic networks

We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is that the hybridization rate of the lineages correlates negatively with their phylogenetic distance. We give...

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Bibliographic Details
Published in:Electronic journal of probability 2024-01, Vol.29 (none)
Main Authors: Bienvenu, François, Duchamps, Jean-Jil
Format: Article
Language:English
Subjects:
Biodiversity
Life Sciences
Mathematics
Populations and Evolution
Probability
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Summary:We introduce a biologically natural, mathematically tractable model of random phylogenetic network to describe evolution in the presence of hybridization. One of the features of this model is that the hybridization rate of the lineages correlates negatively with their phylogenetic distance. We give formulas / characterizations for quantities of biological interest that make them straightforward to compute in practice. We show that the appropriately rescaled network, seen as a metric space, converges to the Brownian continuum random tree, and that the uniformly rooted network has a local weak limit, which we describe explicitly.
ISSN:1083-6489
1083-6489
DOI:10.1214/24-EJP1088