I have a set of continuous distributions representing the leaf area density found at different heights through a forest canopy. e.g. like that found in Whitehurst et al. (2013):
For each of these foliage density profiles I also have information on the tree species diversity and tree trunk diameter of each tree contributing to the leaf area found in these profiles.
What statistical techniques can I use to test whether these foliage density profiles vary meaningfully as a result of various metrics related to tree diversity such as number of tree species, variance of trunk diameter?