I agree with the idea of Dr. Warheit.

And also apologize for my ingorance and possibly naive statements,
nevertheless I would like to add some coments on the same theme.

I have been thinking on how to remove allometric relationships after
applying warp transformations, and probably working with the residuals
from a regression on centroid size from parameters such as relative
warps will represent more accurately phenomena related to shape. Should
these residuals will represent more accurately evolutionary
relationships than the original data? At least the effects of size
(allometry and isometry) are reduced. I understand that relative warps
can be regressed individually on centroid size since they are
independent.

Are these new set of variables (residuals) more informative about
evolutionary change than ortogonal projections of the same data on the
first principal component obtained from continuos characters (e.g.
longitudinal measurements in skull and body bones)? I suppose this is
correct, since the rest of components contain useful information (but
they can also be "contaminated" by "size" variation) and they are
usually not considered together with the projected data; moreover, the
variables originated from landmarck data usually contain more
information than traditional continuous characters.

Thank you for all your patience and advice.

Pablo

Pablo Jarr�n
Center for Ecology and Conservation Biology
Biology Department
Boston University
[EMAIL PROTECTED]

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