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A consistent estimator of the evolutionary rate

K. Bartoszek ; Serik Sagitov (Institutionen för matematiska vetenskaper, matematisk statistik)
Journal of Theoretical Biology (0022-5193). Vol. 371 (2015), p. 69-78.
[Artikel, refereegranskad vetenskaplig]

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).

Nyckelord: Branching Brownian motion, Conditioned branching process, Tree-free phylogenetic comparative

Denna post skapades 2015-05-12. Senast ändrad 2017-09-14.
CPL Pubid: 217013


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Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)



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