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Computational and Mathematical Methods in Medicine
Volume 2014 (2014), Article ID 194202, 8 pages
http://dx.doi.org/10.1155/2014/194202
Research Article

On Coalescence Analysis Using Genealogy Rooted Trees

1Department of Biostatistics, Bioinformatics and Biomathematics, Georgetown University, Washington, DC 20057, USA
2Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA
3Department of Statistics and Actuarial Science, University of Western Ontario, London, ON, Canada N6A 5B7
4Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

Received 10 August 2013; Accepted 10 January 2014; Published 23 February 2014

Academic Editor: Henggui Zhang

Copyright © 2014 Ao Yuan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

DNA sequence data are now being used to study the ancestral history of human population. The existing methods for such coalescence inference use recursion formula to compute the data probabilities. These methods are useful in practical applications, but computationally complicated. Here we first investigate the asymptotic behavior of such inference; results indicate that, broadly, the estimated coalescent time will be consistent to a finite limit. Then we study a relatively simple computation method for this analysis and illustrate how to use it.