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A consistent estimator of the evolutionary rate
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2015 (English)In: Journal of Theoretical Biology, ISSN 0022-5193, E-ISSN 1095-8541, Vol. 371, 69-78 p.Article in journal (Refereed) Published
Abstract [en]

We consider a branching particle system where particles reproduce according to the pure birth Yule process with the birth rate 2, conditioned on the observed number of particles to be equal to n. Particles are assumed to move independently on the real line according to the Brownian motion with the local variance sigma(2). In this paper we treat n particles as a sample of related species. The spatial Brownian motion of a particle describes the development of a trait value of interest (e.g. log-body-size). We propose an unbiased estimator 4 of the evolutionary rate rho(2) - sigma(2)/lambda. The estimator R-n(2) is proportional to the sample variance S-n(2) computed from n trait values. We find an approximate formula for the standard error of R-n(2), based on a neat asymptotic relation for the variance of S-n(2). (C) 2015 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2015. Vol. 371, 69-78 p.
Keyword [en]
Branching Brownian motion, Conditioned branching process, Tree-free phylogenetic comparative method, Quantitative trait evolution, Yule process
National Category
Evolutionary Biology Probability Theory and Statistics
URN: urn:nbn:se:uu:diva-252680DOI: 10.1016/j.jtbi.2015.01.019ISI: 000353011200006PubMedID: 25636492OAI: oai:DiVA.org:uu-252680DiVA: diva2:814245
Swedish Research Council, 621-2010-5623The Royal Swedish Academy of Sciences
Available from: 2015-05-26 Created: 2015-05-11 Last updated: 2015-05-26Bibliographically approved

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Bartoszek, Krzysztof
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