Hi Oliver,

The "gls" from nlme uses REML by default. I think that caper or phylolm use ML 
instead. On small sample size ML estimates (e.g., "lambda") are known to be 
biased and you may sometimes not have enough power to estimate them. With 
increasing sample size (bigger trees) this is less an issue as the bias should 
vanishes and ML will likely converge to similar values to REML.

Also, “gls” estimates a correlation rather than a covariance structure. On 
non-ultrametric trees (such as yours) this will lead to different results.

Regards,

Julien




De : R-sig-phylo <r-sig-phylo-boun...@r-project.org> de la part de Oliver Betz 
<oliver.b...@uni-tuebingen.de>
Envoyé : dimanche 30 mai 2021 22:49
À : r-sig-phylo@r-project.org <r-sig-phylo@r-project.org>
Objet : [R-sig-phylo] question regarding PGLS 
 

Dear list members:


I tried various R packages to calcuate a PGLS with the data set (csv  
and nwk) I have attached to this email. I would like to use the Pagels  
lambda model to attain an index that measures whether data exhibit  
phylogenetic dependence or not.

While doing so, I came up with the following problem. Using ape - for  
example, according to the script of the Latin American Macroevolution  
Workshop and others - I attained results (regarding intercept, slope  
and lambda) that differ from the results I received from caper or  
phylolm. For example, with ape, lambda amounts to 0.57, whereas  
according to caper or phylolm lambda amounts to 0.

Please find the R script that I have used attached (first block is  
just the data reading and organisational part; 2nd block: PGLS Pagels  
Lambda according to ape, 3rd block: PGLS Pagels Lambda according to  
caper).

Do you have any idea why these packages produce these different  
results and which software I should follow?

Thanks for any suggestions.

Oliver Betz
University of Tübingen
Tübingen
Germany
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