Parameter estimates from the linear mixed effects model linking temporal community turnover (β-diversity) to dispersal rate, mean growth rate, the coefficient of variation in growth rate, mean sensitivity to competition, the coefficient of variation in sensitivity to competition, mean α-diversity across the gradient and initial spatial β-diversity across the gradient. Because the covariates and response variable were standardized, the estimates are also effect sizes (*P < 0.05; *** P < 0.001). The marginal R2 = 0.360 and conditional R2 = 0.411 indicate the amount of variance explained by the fixed effects, and by the combination of fixed and random effects, respectively. For all fixed effects, d.f. = 492.