Global patterns of speciation and diversity

In recent years, strikingly consistent patterns of biodiversity have been identified over space, time, organism type and geographical region(1,2). A neutral theory (assuming no environmental selection or organismal interactions) has been shown to predict many patterns of ecological biodiversity(2,3). This theory is based on a mechanism by which new species arise similarly to point mutations in a population without sexual reproduction. Here we report the simulation of populations with sexual reproduction, mutation and dispersal. We found simulated time dependence of speciation rates, species-area relationships and species abundance distributions consistent with the behaviours found in nature(1-13). From our results, we predict steady speciation rates, more species in one-dimensional environments than two-dimensional environments, three scaling regimes of species-area relationships and lognormal distributions of species abundance with an excess of rare species and a tail that may be approximated by Fisher's logarithmic series. These are consistent with dependences reported for, among others, global birds(4) and flowering plants(5), marine invertebrate fossils(6), ray-finned fishes(7), British birds(8,9) and moths(10), North American songbirds(11), mammal fossils from Kansas(12) and Panamanian shrubs(13). Quantitative comparisons of specific cases are remarkably successful. Our biodiversity results provide additional evidence that species diversity arises without specific physical barriers(6,11,14). This is similar to heavy traffic flows, where traffic jams can form even without accidents or barriers(15).