User:Carl Boettiger/Notebook/Comparative Phylogenetics/2010/06/27
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Evolution 2010 Day 2
Tests common macroscopic models of inferring population structure (i.e. via coalescent) an individual based simulation model.
Fascinating talk on estimating rates when the tree is not resolved to the species level. Approximate Bayesian Computing based approach which simulates the tree to the species level as a pure birth process with trait evolution by Brownian motion, estimating parameter posteriors by ABC. Seemed to me this calculation could be done analytically, since the Brownian rate inference depends only on the distribution of branch lengths, which is simply exponential under the pure-birth (or constant birth-death) model. For instance:
Well, if the branch length vii' is exponentially distributed with parameter λ
If we simply estimated the branch length as the mean always, we'd have