Time to a single hybridization event in a group of species with unknown ancestral history
Artikel i vetenskaplig tidskrift, 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, Matematiska vetenskaper

Göteborgs universitet

Robert Graham Jones

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Bengt Oxelman

Göteborgs universitet

Serik Sagitov

Chalmers, Matematiska vetenskaper, Matematisk statistik

Göteborgs universitet

Journal of Theoretical Biology

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

Vol. 322 1-6

Stokastiska modeller av gen- och artträd

Vetenskapsrådet (VR) (2010-5623), 2011-01-01 -- 2013-12-31.


Biologisk systematik





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