Hi Aaron, Cody and Julien!

Cody I agree with Julien that you are mainly interested in whether the 
off-diagonals in A are zero or non-zero. The off diagonals in sigma 
would mean there is correlation but due to strange effects. You should 
also try with triangular A matrices - i.e. you may have adaptive effects 
only one way. e.g. the males are adapting to changes in females? Another 
model you could try is a slouch type model (OUBM type model in mvslouch) 
females are behaving as a Brownian motion while males are adapting to
them?
All depends what is the underlying biology of the system. Once you also 
start putting in ecological factors everything could change. Say that 
both males and females are adapting independently to the same ecological 
variable e.g. plant colour in their habitat. Say that this is behaving 
as a Brownian motion. Then if you leave out this variable the OU models 
could result in : females as BM, males as OU adapting to females and 
lead to the conclusion that changes in males are adapting to changes in
females. But once you put in this ecological variable then you should 
get plant colour BM, males and females as OU adapting independently to 
plant colour. Of course in both cases males and females are correlated 
(if that is only what you care about?) but conditional on plant colour 
independent.

Did you try running mvslouch on a reduced data set? How do the results 
compare?

Aaron, I don't think complex eigenvalues would be that much different in 
interpretation? Adaptation happens if the real part is positive, 
disruptive selection if negative. But of course it is a much more 
interesting problem how the path to stationarity looks like.

Best wishes
Krzysztof

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