The quantitative Kulczynski distance between two species
is 1-(mean of (mean of over regions minimum abundance of both
species)/(sum of abundances of species 1) and (mean of over regions
minimum abundance of both species)/(sum of abundances of species 2)).
If the abundance matrix is a 0-1-matrix, this gives the standard
Kulczynski distance.
References
D. P. Faith, P. R. Minchin and L. Belbin (1987) Compositional
dissimilarity as a robust measure of ecological distance.
Vegetation 69, 57-68.