“…Over the past several decades, the empirical relationships between seismic moment (M 0 ) or moment magnitude (M w ) and various earthquake faulting parameters (e.g., rupture length, width, and displacement) have been studied by a number of researchers on the basis of worldwide data sets (e.g., Scholz, 1982;Bonilla et al, 1984;Scholz et al, 1986;Romanowicz, 1992;Wells and Coppersmith, 1994;Pegler and Das, 1996;Wang and Ou, 1998;Mai and Beroza, 2000;Stock and Smith, 2000;Henry and Das, 2001;Bakun, 2002, 2008;Kagan, 2002;Manighetti et al, 2007;Blaser et al, 2010;Leonard, 2010;Strasser et al, 2010) and regional data (e.g., Dowrick and Rhoades, 2004;Konstantinoua et al, 2005;Murotani et al, 2008;Yen and Ma, 2011). These scaling relationships provide not only useful empirical relationships for practical seismic hazard analyses but also perspective on earthquake physics (Shaw, 2009).…”