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We introduce a biologically natural, mathematically tractable model of randomphylogenetic network to describe evolution in the presence of hybridization.One of the features of this model is that the hybridization rate of thelineages correlates negatively with their phylogenetic distance. We giveformulas / characterizations for quantities of biological interest that makethem straightforward to compute in practice. We show that the appropriatelyrescaled network, seen as a metric space, converges to the Brownian continuumrandom tree, and that the uniformly rooted network has a local weak limit,which we describe explicitly.

A branching process with coalescence to model random phylogenetic networks