The expected length of pendant and interior edges of a Yule tree
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| Authors: | Steel, M; Mooers, A |
| Year: | 2010 |
| Journal: | Applied Mathematics Letters 23: 1315-1319 Article Link (DOI) |
| Title: | The expected length of pendant and interior edges of a Yule tree |
| Abstract: | The Yule (pure-birth) model is the simplest null model of speciation; each lineage gives rise to a new lineage independently with the same rate lambda. We investigate the expected length of an edge chosen at random from the resulting evolutionary tree. In particular, we compare the expected length of a randomly selected edge with the expected length of a randomly selected pendant edge. We provide some exact formulae, and show how our results depend slightly on whether the depth of the tree or the number of leaves is conditioned on, and whether lambda is known or is estimated using maximum likelihood. (C) 2010 Elsevier Ltd. All rights reserved. |
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