Glimpses from the strange world of phylogenetic mixtures
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Description: |
Matsen, FA (California)
Thursday 06 September 2007, 10:00-10:20 PLGw01 - Current Challenges and Problems in Phylogenetics |
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Created: | 2007-09-21 10:19 | ||
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Collection: | Phylogenetics | ||
Publisher: | Isaac Newton Institute | ||
Copyright: | Matsen, FA | ||
Language: | eng (English) | ||
Credits: |
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Abstract: | Rates of evolution and evolutionary history may vary across the genome of a given organism. The standard way of modeling the resulting data is a "mixture model" where a given phylogenetic pattern comes from one of a collection of trees with fixed probabilities. In this talk I will focus on recent results (joint with Mike Steel and Elchanan Mossel) which investigate what pattern probabilities are and are not possible when rates of evolution vary on a single topology.
In particular, we have shown that a mixture of two processes on a tree of one topology can produce exactly the same expected site pattern frequencies (i.e. sequence data) as an unmixed process on a different topology. For mixtures of a number of processes the situation is even more dire: in a certain sense the topology is not uniquely determined for a majority of data vectors. I will also present other related results along with the associated mathematics and indicate some interesting future directions for research. |
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