Comparing classic models of (a) local founder control and (e) a competitive hierarchy with the stochastic competition-colonization trade-off model where local community size, Je, is small (b, Je = 50), medium (c, Je = 500) or large (d, Je = 5000). Both species have the same extinction rates (e1 = e2 = 0.1); boxed numbers in each panel indicate the species are present at equilibrium in each region of state space. In panels (b)–(d), competitive ability of the superior competitor, s, is 0.01 and the frequency of the superior competitor, f1, is 0.01.