The Unified Neutral Theory of Biodiversity and Biogeography

TLDR

Neutral theory predicts species abundance patterns, but Hubbell’s original model could not analytically derive the relative species abundance distribution for large communities, leading to reliance on simulations. Chisholm and Burgman evaluated Volkov’s analytical RSA formula and reproduced Hubbell’s simulation results for four benchmark scenarios. Volkov et al.

Abstract

study of the issue indicates that it is not a serious problem for neutral theory, for reasons we discuss below. First, a bit of background. Hubbell (2001) derived the analytical expression for the stochastic mean and variance of the abundance of a single arbitrary species in a neutral community undergoing immigration from a metacommunity source area. However, his approach did not lend itself to an analytical solution for the distribution of relative species abundance (RSA) in a multispecies community for community sizes larger than a handful of individuals. As a result, all of Hubbell's RSA distributions for local communities were based on simulations. This problem was solved by Volkov et al. (2003), who derived an analytical expression for the RSA distribution in local communities of arbitrary size. However, as Chisholm and Burgman noted, there is sometimes a difference between some of the simulation-based results of Hubbell and the analytical results of Volkov et al. (2003). Chisholm and Burgman computed Volkov's equation and resimulated Hubbell's results for the four cases