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Systematic Zoology Advance Access published online on November 9, 2009

Systematic Zoology, doi:10.1093/sysbio/syp076
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© The Author(s) 2009. Published by Oxford University Press, on behalf of the Society of Systematic Biologists. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Unifying Vertical and Nonvertical Evolution: A Stochastic ARG-based Framework

Erik W. Bloomquist1 and Marc A. Suchard1,2,3,*

1 Department of Biostatistics, UCLA School of Public Health, Los Angeles, CA 90095, USA
2 Department of Biomathematics, David Geffen School of Medicine at UCLA, Los Angeles, CA 90095-1766, USA
3 Department of Human Genetics, David Geffen School of Medicine at UCLA, Los Angeles, CA 90095-1766, USA

* Correspondence to be sent to: Department of Human Genetics, David Geffen School of Medicine at UCLA, Los Angeles, CA 90095-1766, USA; E-mail: msuchard{at}ucla.edu.


   Abstract

Evolutionary biologists have introduced numerous statistical approaches to explore nonvertical evolution, such as horizontal gene transfer, recombination, and genomic reassortment, through collections of Markov-dependent gene trees. These tree collections allow for inference of nonvertical evolution, but only indirectly, making findings difficult to interpret and models difficult to generalize. An alternative approach to explore nonvertical evolution relies on phylogenetic networks. These networks provide a framework to model nonvertical evolution but leave unanswered questions such as the statistical significance of specific nonvertical events. In this paper, we begin to correct the shortcomings of both approaches by introducing the "stochastic model for reassortment and transfer events" (SMARTIE) drawing upon ancestral recombination graphs (ARGs). ARGs are directed graphs that allow for formal probabilistic inference on vertical speciation events and nonvertical evolutionary events. We apply SMARTIE to phylogenetic data. Because of this, we can typically infer a single most probable ARG, avoiding coarse population dynamic summary statistics. In addition, a focus on phylogenetic data suggests novel probability distributions on ARGs. To make inference with our model, we develop a reversible jump Markov chain Monte Carlo sampler to approximate the posterior distribution of SMARTIE. Using the BEAST phylogenetic software as a foundation, the sampler employs a parallel computing approach that allows for inference on large-scale data sets. To demonstrate SMARTIE, we explore 2 separate phylogenetic applications, one involving pathogenic Leptospirochete and the other Saccharomyces.

Keywords: Ancestral recombination graph; Bayesian; horizontal gene transfer; phylogenetic network; reassortment; species tree

Received January 12, 2009; Revised April 8, 2009; Accepted September 21, 2009


Associate Editor: Laura Kubatko


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