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

@article{Stadler2012DistributionOB,
  title={Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models.},
  author={Tanja Stadler and Mike Steel},
  journal={Journal of theoretical biology},
  year={2012},
  volume={297},
  pages={33-40}
}
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… CONTINUE READING

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