Dear Fabio, 

In R, there are many of things available... 
geomorph of course with morphol.disparity.... 
but also more specific packages: the recent vcvComp package by Lemaitre and 
Mitteroecker, they implement the relative eigenanalysis of Bookstein and 
Mitteroecker. 
not first designed for GM but easily adaptable:dispRity by Guillerme and 
Puttick. 
You can also have a look at the paper published by these people... 

In terms of more custom but older GM oriented things: 
You can compare the traces of the variance covariances using a goodall F test 
strategy and associated degrees of freedom (see for instance Klingenberg et al. 
2002 or 1998). Colleagues including myself have been compared traces (using or 
not permutation strategies), but yet and except vcvComp and relative eigen 
analysis example provided by Lemaitre and Mitteroecker, I have not seen anyone 
using a more 'multivariate' strategy for comparing variation among two or more 
groups. 
For that maybe also, you can go even more parametric and general by exploring 
the Hotellingsp function that I wrote for morphometrics in R for comparing 
variance covariances (p.252, some applications are given p.271, p.275). You 
should input the group of larger trace instead of the effect, and the one of 
smaller trace instead of the error (as it was written, the test was one 
sided)... but as it has not been used yet to my knowledge, maybe people will 
complain. 

Julien 




De: "Fabio Pinheiro" <[email protected]> 
À: "Morphmet" <[email protected]> 
Envoyé: Vendredi 18 Novembre 2022 11:37:06 
Objet: [MORPHMET2] measuring morphological diversity 




BQ_BEGIN

Dear all Morphmet members 

I am a professor at Universidade Estadual de Campinas, and we are analysing the 
geometric morphometrics of different populations of an orchid, including 
populations distributed along a geographic range. 
We aim to test the central-periphery hypothesis, which expects lower 
morphological diversity at the distribution edges. We were able to use MorphoJ 
at several steps of morphometric analysis, from organizing the landmarks to 
running PCA, Anova tests etc. 
However, we are struggling to find out how to measure the morphological 
diversity of each population. I believe it is something related to a measure of 
dispersion of the morphological variability of the individuals from one 
population, comparing to the centroid of the same population. But there are 
other methods in the literature. 
Thus, I would like to ask you if MorphoJ could be used to provide a 
morphological diversity estimate for each population we are analysing. If not, 
we would be happy with some suggestions for other software/R packages that may 
help us with this task 

Thank you for your help 

Sincerely 


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