Time to a single hybridization event in a group of species with unknown ancestral history
2013 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 322, 1-6 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2013. Vol. 322, 1-6 p.
Theoretical phylogenetics, Yule tree, Polyploidy, Uncertainty in phylogeny
Probability Theory and Statistics Evolutionary Biology
Research subject Mathematical Statistics; Statistics; Textile Studies; Textile Studies
IdentifiersURN: urn:nbn:se:uu:diva-241893OAI: oai:DiVA.org:uu-241893DiVA: diva2:781841