The relation between parameters of various types of rank distributions and
parameters of the species number-area empirical relationships is deduced fr
om the thermostatic model of biological diversity. A rank distribution is c
onstructed based on parameters calculated for actually existing relationshi
ps. Another type of rank distribution for the same original data is obtaine
d by converting the frequency of species into relative parameters of their
abundance, based on Poisson distribution. The resulting rank distributions
are used for assessing diversity on the basis of entropy. This approach is
illustrated by the example of measuring the biological diversity of higher
plants in middle taiga communities. The method is sufficiently universal to
be used for measuring the diversity of any organisms, their communities, a
nd ecosystems.