Time to a single hybridization event in a group of species with unknown ancestral history.

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.

• Publication year

  2012

• Venue

  Journal of Theoretical Biology

• Publication date

  2012-09-07

• Fields of study

  Biology, Mathematics, Medicine

• Identifiers
  DOI 10.1016/j.jtbi.2013.01.001arXiv 1209.1494PMID 23318988
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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