Correction: Distance-Based Functional Diversity Measures and Their Decomposition: A Framework Based on Hill Numbers

In this Appendix, we summarize some basic properties of the three classes of functional diversity measures: (1) functional Hill number ) (Q D q which quantifies the effective number of equally abundant and equally distinct species in an assemblage with a constant species pairwise distance Q, where Q denotes Rao’s quadratic entropy; (2) mean functional diversity MD(Q) = Q Q D q × )] ( [ which quantifies the effective sum of functional distances between a fixed species to all other species; and (3) (total) functional diversity FD(Q) ( ) ( ) ( Q MD Q D q q × = ), which quantifies the effective total distance between species of an assemblage. Since the three measures are closely related, all the properties are shared.