Conclusions
Convergence of the cluster probability and the power law behavior after convergence indicate self-organization of the landscape at a critical level
Independence of the initial and boundary conditions indicate that the critical state is a robust global attractor for the dynamics
There is no characteristic temporal scale for the self-organized state for r = 1 and 3
There is no characteristic spatial scale for the self-organized state
Even relatively large perturbations decay (not chaotic)