Just to add to Brian and Aaron’s comments, you also want to consider what those 
alpha values mean in relation to your data. The alpha’s you mention equate to 
phylogenetic half-lives of between 0.17 and 0.28 time units, which are 
extremely rapid rates of adaptation if your branch lengths are in millions of 
years and your clade is old--ish (i.e. 10s of millions of years). But they’re 
perhaps less dramatic if you’ve rescaled the root - tip distance of the tree to 
1 prior to analysis, or if your clade is just a couple of million years old. To 
be sure, checking the likelihood surfaces and your ability to identify the 
parameters for a given dataset is a crucial step in any analysis. But those 
numbers are essentially meaningless without being placed in the context of your 
data.

Graham

------------------------------------------------------------
Graham Slater
Peter Buck Post-Doctoral Fellow
Department of Paleobiology
National Museum of Natural History
The Smithsonian Institution [NHB, MRC 121]
P.O. Box 37012


(202) 633-1316
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On Mar 27, 2015, at 2:58 PM, Brian O'Meara 
<omeara.br...@gmail.com<mailto:omeara.br...@gmail.com>> wrote:

You can select between models using AICc, but then you can look at the
reliability, more robustly than using eigenvalues, by using OUwie.boot() to
do parametric bootstrapping. Another very useful thing done by
Hansen, Bartoszek, and colleagues is to do a contour plot around the
maximum likelihood estimate to see how much a parameter like alpha can vary
without changing the likelihood much. As Aaron indicated, this can be a
horrifyingly large region. It's especially tough with OUMA and OUMVA where
there are multiple alphas.

One thing to consider is what kind of model is most likely to give you
results you trust and that are relevant for your question. It could be that
you care about OUM-type models, but don't really care if it's OUMA, OUM, or
OUMVA. You should certainly report that, say, OUMVA is the best fitting
under AICc, but perhaps if your biological question is about the optima
only you focus on OUM due to OUMVA seeming to have issues estimating any
parameters well (though of course also indicate if the results under OUMVA
generally agree or disagree with the conclusions from OUM -- you need to
show that it's not that OUMVA fit better but gave you an answer you didn't
like, so you cherry picked a different model to get the result you want).

Hope this helps,
Brian

_______________________________________
Brian O'Meara
Assistant Professor
Dept. of Ecology & Evolutionary Biology
U. of Tennessee, Knoxville
http://www.brianomeara.info

Postdoc collaborators wanted: http://nimbios.org/postdocs/
Calendar: http://www.brianomeara.info/calendars/omeara

On Fri, Mar 27, 2015 at 12:57 PM, Diego Salazar Tortosa <dsala...@ugr.es>
wrote:

Thank you for your answer Aaron.

Clear to me that this situation is common in the OU models, but I don't
know what criteria I should use when select between different OU models,
AICc or reliability of parameters?

Thanks in advance

Regards

Diego Salazar

2015-03-27 11:08 GMT+00:00 Aaron King <kin...@umich.edu>:

In many situations, the OU model parameter alpha is not well identified.
This has been pointed out before, but it's quite common for the parameter
values (and not just alpha, though that's typically the worst) to be
poorly
identified, even if the model selection is unambiguous.  OU model
parameters can be well identified under some circumstances (detailed in
the
paper) but when they are not, estimates can be *very* unreliable.

On Fri, Mar 27, 2015 at 4:07 AM, Diego Salazar Tortosa <dsala...@ugr.es>
wrote:

Hi,

I am trying to analyze whether the evolution of a continuous trait is
state-dependent of discrete trait with three levels, through OU models.
My
phylogeny has 113 species and 112 internal nodes.

Clearly the most parsimonious models according AICc are OUMA and OUMVA
but
have alpha values between 2.5 and 4, are these values usual or too high?

Also some eigenvuales obtained with diagn=T  are negative for both
models,
althought standard errors are very small. Are these models valid?

Thanks in advance

Diego Salazar

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Mathematics
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--
Diego Francisco Salazar Tortosa
Ph student
Department of Ecology
University of Granada
Av. Fuente Nueva s/n
18071 Granada
Telefono: +34 958241000 ext 20007
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