Appendix C. Behavior of the null model.

FIG. C1. Behavior of the null model. Each data point presented is the mean of 500 randomizations at each species richness. (A) The relationship between dimensionality (i.e., number of traits), convex hull volume, and species richness. For each dimensionality convex hull volume is standardized to the maximum space available based on the species pool. (B) The relationship between trait correlations, convex hull volume, and species richness. Each curve is based on convex hull volume of random draws from 3 vectors with pairwise r^{2} values as reported in the legend. |