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Updated: May 15, 2026

Chromosome Replicating Timing Combined with Fluorescent In situ Hybridization
Published on: December 10, 2012
Time to a single hybridization event in a group of species with unknown ancestral history
Krzysztof Bartoszek1, Graham Jones, Bengt Oxelman
1Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, Gothenburg, Sweden.
Abstract:
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.
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