Angela,

The question I believe you are asking is if there is a way to have 2B-PLS work 
for n-dimensional data (n rows in your data matrix) when you have a 
s-dimensional phylogenetic covariance matrix (s x s dimensions for s species 
covariances) and s < n.  The phylo-integration function will work if you find a 
way to generalize your s x s species covariance matrix to an n x n specimen 
covariance matrix.  The n x n matrix would be certainly singular (if that is a 
concern) but not pose any computational hindrance on the phylo,integration 
function.

Doing this is not trivial.  Every cell of the n x n matrix would have to 
correspond to the species-species match in the s x s matrix.

There might also be a solution that involves centering specimen vectors, based 
on fitted values for a PGLS model with just a mean (i.e., phylo-mean-centering) 
and using standard 2B-PLS (without a covariance matrix input).

I offer these possible solutions as something one CAN do but do not wish to 
suggest this is something one SHOULD do.  I think this is sailing into 
unchartered waters with respect to statistical properties.

Cheers!
Mike

> On Jan 9, 2018, at 3:19 PM, Pena, Angela <angiep...@gwu.edu> wrote:
> 
> I am interested in using integration methods such as 2B-PLS on 3DGM data from 
> 4 different taxa with intraspecific variation. I was able to successfully run 
> 2B-PLS in geomorph considering all data points as independent. But I am 
> wondering if there is a way to consider that my taxonomic groups might be 
> following different patterns of integration. I know you can use the 
> phylo.integration function in geomorph for this, but this summarizes each 
> group to a species mean, and I am interested in the intraspecific variation. 
> Is there another way to do this without summarizing each group to a mean? Any 
> help would be greatly appreciated!
> 
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