Time to a single hybridization event in a group of species with unknown ancestral history
Journal article, 2013

We consider a stochastic process for the generation of species which combines a Yule process with a simple model for hybridization between pairs of co-existent species. We assume that the origin of the process, when there was one species, occurred at an unknown time in the past, and we condition the process on producing n species via the Yule process and a single hybridization event. We prove results about the distribution of the time of the hybridization event. In particular we calculate a formula for all moments and show that under various conditions, the distribution tends to an exponential with rate twice that of the birth rate for the Yule process.


Theoretical phylogenetics

Uncertainty in phylogeny

Yule tree


Krzysztof Bartoszek

Chalmers, Mathematical Sciences

University of Gothenburg

Robert Graham Jones

University of Gothenburg

Chalmers, Mathematical Sciences

Bengt Oxelman

University of Gothenburg

Serik Sagitov

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Journal of Theoretical Biology

0022-5193 (ISSN) 1095-8541 (eISSN)

Vol. 322 1-6

Stochastic models of gene and species trees

Swedish Research Council (VR) (2010-5623), 2011-01-01 -- 2013-12-31.

Subject Categories

Biological Systematics





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