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.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

NATURVETENSKAP  -- Biologi -- Evolutionsbiologi (hsv//swe)

NATURAL SCIENCES  -- Biological Sciences -- Evolutionary Biology (hsv//eng)

NATURVETENSKAP  -- Biologi -- Biologisk systematik (hsv//swe)

NATURAL SCIENCES  -- Biological Sciences -- Biological Systematics (hsv//eng)

Keyword

Theoretical phylogenetics

Yule tree

Polyploidy

Uncertainty in phylogeny

Mathematical Statistics

Matematisk statistik

Statistics

Statistik

Textile Studies

Textilvetenskap

Textile Studies

Textilvetenskap

Theoretical phylogenetics

Yule tree

Polyploidy

Uncertainty in phylogeny

Publication and Content Type

ref (subject category)

art (subject category)