Abstract:Hill defined the effective species richness A=2 H , i.e., the theoretical (diversity equivalent) number of species if all species were equifrequent, where H is the Shannon‘s entropy. Frontier suggested that the effective species richness A can generally be expressed as A=S J , where S is the species richness and J is the Pielou‘s evenness. The equation A=S J takes the form of a fractal power law relationship, in this way J is thus interpreted as a scale invariant dimensi...