Hi Sergio,

I am not quite understanding the situation nor why you see a "problem."  if I 
understand correctly, you are considering these five (5) alternative models for 
some sort of simple or multiple regression:

OLS = star phylogeny
PGLS with real-time branch lengths (ultrametric)
Pagel's lambda with real-time branch lengths (ultrametric)
PGLS with all branch legnths equal to 1.0
Pagel's lambda with all branch lengths equal to 1.0

To help decide which model best fits your data, you can look at AIC or for some 
comparisons do a likelihood ratio test.

My experience is that any of the transform models (Pagel's lambda, Grafen's 
rho, OU in various implementations, ACDC) can sometimes yield really bizarre 
results when you start with a non-ultrametric tree.  You need to be careful and 
check the REML likelihood surface for multiple peaks, etc.

Cheers,
Ted

Theodore Garland, Jr., Professor
Department of Biology
University of California, Riverside
Riverside, CA 92521
Office Phone:  (951) 827-3524
Facsimile:  (951) 827-4286 (not confidential)
Email:  tgarl...@ucr.edu
http://www.biology.ucr.edu/people/faculty/Garland.html
http://scholar.google.com/citations?hl=en&user=iSSbrhwAAAAJ

Director, UCR Institute for the Development of Educational Applications

Editor in Chief, Physiological and Biochemical Zoology

Fail Lab: Episode One
http://testtube.com/faillab/zoochosis-episode-one-evolution
http://www.youtube.com/watch?v=c0msBWyTzU0

________________________________________
From: R-sig-phylo [r-sig-phylo-boun...@r-project.org] on behalf of Sergio 
Ferreira Cardoso [sff.card...@campus.fct.unl.pt]
Sent: Thursday, May 14, 2015 8:32 AM
To: r-sig-phylo@r-project.org
Subject: [R-sig-phylo] Non-ultrametric tree PGLS

Hello all,

I have an ultrametric phylogenetic tree with divergence times as branch
lengths. To see if there was a big difference between using these branch
lengths and equal (=1) branch lengths I set all lengths to 1 and ran a
PGLS. I ran with Lambda transformations and the estimation is that Lambda
is superior than 1 (both with ML and REML estimation). I suppose this is a
consequence of the tree being non ultrametric. Is there a solution for this
problem or should I, in this case, just ran a GLS (Brownian Motion) to
avoid the over estimation of the phylogenetic signal?

Best regards,
Sérgio.

--
Com os melhores cumprimentos,
Sérgio Ferreira Cardoso.

--------------------

Best regards,
Sérgio Ferreira Cardoso




MSc. Paleontology candidate
Departamento de Ciências da Terra - FCT /Universidade Nova de Lisboa
Geociências - Universidade de Évora

Lisboa, Portugal
ᐧ

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