the mainland (assuming large $Q$). Some patterns predicted by this neutral theory, and in particular the species abundance distribution (SAD) on the island, fit quite nicely those recorded in many empirical studies.

Off the Hubbell point the infinite degeneracy is lifted, but the analysis of the stochastic system is still relatively easy since every species may be analyzed independently, the effect of all individuals from other species may be encapsulated into a single parameter. This feature was exploited by [@pigolotti2013species] who manage to solve the (metacommunity version) stochastic GCLV analytically along the $\sigma = 0$ line. As expected, below the Hubbell point the SAD shows a peak around the deterministic value $K/(1+(Q-1)C)$, and the sharpness of this peak increases as $C$ decreases.

An overview of the dynamics
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We present in Fig. \[fig all\] sample runs of the system for $K=100$, $\lambda=0.01$, $\sigma=0.5$, $Q=20$, for varying $C$. The abundance of each species is indicated by color. The horizontal axis is time, with snapshots of the system taken every $t=0.08/\lambda$. The vertical axis is species number, and runs from 1 to $Q=20$. It is clear that the system exhibits very different behavior as $C$ is varied. One can identify four different 