Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models

Details Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models

2011-07-29

arxiv.org/abs/1107.5926v1

Mathematics

Probability

Scientific paper

The constant rate birth--death process is a popular null model for speciation and extinction. If one removes extinct and non-sampled lineages, this process induces `reconstructed trees' which describe the relationship between extant lineages. We derive the probability density of the length of a randomly chosen pendant edge in a reconstructed tree. For the special case of a pure-birth process with complete sampling, we also provide the probability density of the length of an interior edge, of the length of an edge descending from the root, and of the diversity (which is the sum of all edge lengths). We show that the results depend on whether the reconstructed trees are conditioned on the number of leaves, the age, or both.

Affiliated with

Also associated with

No associations

Rating

Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318753