期刊论文详细信息
JOURNAL OF THEORETICAL BIOLOGY 卷:371
A consistent estimator of the evolutionary rate
Article
Bartoszek, Krzysztof1  Sagitov, Serik2,3 
[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden
[2] Chalmers Univ Technol, Math Sci, S-41296 Gothenburg, Sweden
[3] Univ Gothenburg, S-41296 Gothenburg, Sweden
关键词: Branching Brownian motion;    Conditioned branching process;    Tree-free phylogenetic comparative method;    Quantitative trait evolution;    Yule process;   
DOI  :  10.1016/j.jtbi.2015.01.019
来源: Elsevier
PDF
【 摘 要 】

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.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jtbi_2015_01_019.pdf 490KB PDF download
  文献评价指标  
  下载次数:1次 浏览次数:0次