Event statistics for different scale ratios. Statistics of types of earthquakes in simulations conducted by Noda et al. (2013a). (a) Types of L events. As the scale ratio α increases, less and less L events are generated by cascade-up, and more and more L events are generated by their own nucleation. Modified from Figure 12 in Noda et al. (2013a). (b) The number of S events normalized by the number of L events. Patch S has its characteristic earthquake if the scale ratio α is comparable to or larger than the brittleness β. Note that there is only one Patch S for one Patch L.