A. K. (University of Western Ontario, London, Canada) Dewdney 
Stochastic Communities [PDF ebook] 
A Mathematical Theory of Biodiversity

Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the 'J distribution.’ This distribution is a pure hyperbola and mathematically implied by the 'stochastic species hypothesis’ assigning equal probabilities of birth and death within the population of each species over varying periods of time. The J distribution in natural communities has strong empirical support resulting from a meta-study and strong theoretical support from a theorem that is mathematically implied by the stochastic species hypothesis.