The split-and-drift random graph, a null model for speciation

François Bienvenu, Florence Débarre and Amaury Lambert

Stochastic Processes and their Applications, 2019, vol. 129, issue 6, 2010-2048

Abstract: We introduce a new random graph model motivated by biological questions relating to speciation. This random graph is defined as the stationary distribution of a Markov chain on the space of graphs on {1,…,n}. The dynamics of this Markov chain is governed by two types of events: vertex duplication, where at constant rate a pair of vertices is sampled uniformly and one of these vertices loses its incident edges and is rewired to the other vertex and its neighbors; and edge removal, where each edge disappears at constant rate. Besides the number of vertices n, the model has a single parameter rn.

Keywords: Dynamical network; Duplication-divergence; Vertex duplication; Genetic drift; Species problem; Coalescent (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1016/j.spa.2018.06.009

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