Figure 1. Simulation analyses based on three models of population dynamics. See the text for details of the models. Species pools of 10,0000 species are assumed. Each illustrated pattern is the final set of counts obtained after 1000 iterations of the relevant death and birth algorithm. Black lines = simuated data; red lines = fits of the log series; blue lines = fits of the scaled odds distribution; green lines = fits of the exp^e distribution. (A) A routine model producing a log series-shaped pattern, which assumes no variation among species or through time in turnover rates (Kendall, 1948; Caswell, 1976; Hubbell, 2001). (B) The same data with the x-axis on a square root scale. (C) A model producing the scaled odds distribution, which assumes high variability among species and through time. (D) Square root scale. (E) A model producing the exp^e distribution, which assumes high variability among species and no variation through time. (F) Square root scale.