Distribution of earthquake size for the finite velocity OFC model (see Fig. 1(a) and Fig. 1(b)) and the finite velocity random spatial model (see Fig. 1(c) and Fig. 1(d)). Figure 1(a) and 1(b) show the avalanche size distribution for different system size N and different dissipation α on the finite velocity OFC earthquake model with α=0.2 and N=128², respectively. Figure 1(c) and 1(d) show the avalanche size distribution for different system size N and different dissipation β on the finite velocity random spatial earthquake model with β=0.8 and N=128², respectively. The power law behavior of the avalanche distributions is not more robust in this finite velocity random spatial model than in the finite velocity OFC one.