A stochastic model for phylogenetic trees
Thomas M. Liggett and Rinaldo B. Schinazi
Source: J. Appl. Probab.
Volume 46, Number 2
(2009), 601-607.
Abstract
We propose the following simple stochastic model for phylogenetic trees. New types are born and die according to a
birth and death chain. At each birth we associate a fitness to the new type sampled from a fixed distribution. At each
death the type with the smallest fitness is killed. We show that if the birth (i.e. mutation) rate is subcritical, we
obtain a phylogenetic tree consistent with an influenza tree (few types at any given time and one dominating type
lasting a long time). When the birth rate is supercritical, we obtain a phylogenetic tree consistent with an HIV tree
(many types at any given time, none lasting very long).
Keywords: Phylogenetic tree; influenza; HIV; stochastic model
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/1245676110
Digital Object Identifier: doi:10.1239/jap/1245676110
Zentralblatt MATH identifier:
05578829
Mathematical Reviews number (MathSciNet):
MR2535836
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