Hello morphometricians,
I am relatively new to morphometrics, and I am attempting to assess ontogenetic 
trajectories from a longitudinal sample of growth study x-rays. My subjects are 
divided into 2 groups, and I would like to determine whether there are 
developmental differences in cranial shape between these groups. I have precise 
ages for each subject, so I hope to use age as a variable (following McNulty et 
al., 2006) rather than centroid size.

>From what I gather from the literature, I can estimate ontogenetic 
>trajectories by regressing the Procrustes aligned shape coordinates onto the 
>independent variable of age. So far, I have attempted to do this in the 
>geomorph package in R using the procD.lm and the trajectory.analysis 
>functions. I am wondering if I am doing this correctly, or if there is a 
>better function to use.

I have tried the following:
lateral.gpa <- gpagen(vaultlandmarks)
procD.lm(two.d.array(lateral.gpa$coords) ~ age, iter = 999)

where “vaultlandmarks” refers to the 2D landmark and semi-landmark coordinates 
in my tps file, and “age” refers to a column in my metadata csv file which 
gives the age of each specimen to the nearest 1/10 of a year. This provides a 
sum-of-squared Procrustes distances, a mean square, and a highly significant 
p-value. I am not sure, however, how to compare the results I get from the 2 
groups.

When I try the trajectory.analysis function:
lateral.gpa <- two.d.array(gpagen(vaultlandmarks)$coords)
trajectory.analysis(lateral.gpa~age)

I get the error message: “Error in trajectory.analysis(lateral.gpa ~ age) :   
X-matrix does not specify enough model factors (see help file).”

Thank you for any advice or help you might provide.

Best,
Miranda Karban
PhD Candidate, University of Iowa

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