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 inarXiv.org
Main Authors Bienvenu, François, Jean-Jil Duchamps
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.10.2023
Subjects
Branching (mathematics)
Markov processes
Mathematics - Probability
Metric space
Quantitative Biology - Populations and Evolution
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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:2331-8422
DOI:10.48550/arxiv.2211.02407