Search: WFRF:(Bartoszek Krzysztof 1984 )
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A consistent estima...
A consistent estimator of the evolutionary rate
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- Bartoszek, Krzysztof, 1984- (author)
- Uppsala universitet,Tillämpad matematik och statistik
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- Sagitov, Serik (author)
- Chalmers University of Technology and the University of Gothenburg
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(creator_code:org_t)
- 2015
- 2015
- English.
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In: Journal of Theoretical Biology. - 0022-5193 .- 1095-8541. ; 371, s. 69-78
- Related links:
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https://urn.kb.se/re...
Abstract
Subject headings
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- We consider a branching particle system where particles reproduce according to the pure birth Yule process with the birth rate λ, 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 σ2. 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 Rn2 of the evolutionary rate ρ2=σ2/λ. The estimator Rn2 is proportional to the sample variance Sn2 computed from n trait values. We find an approximate formula for the standard error of Rn2 based on a neat asymptotic relation for the variance of Sn2.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Biologi -- Evolutionsbiologi (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Evolutionary Biology (hsv//eng)
Keyword
- Branching Brownian motion; Conditioned branching process; Tree-free phylogenetic comparative method; Quantitative trait evolution; Yule process
- Statistics
- Statistik
- Mathematical Statistics
- Matematisk statistik
- Biology
- Biologi
Publication and Content Type
- ref (subject category)
- art (subject category)
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