“…We acknowledge that this empirical relationship derived from tectonic earthquake data may not be applicable to induced earthquakes at shallow depths (in part as a result of the lower effective crustal rigidity changing the relationship between seismic moment, rupture area, and fault displacement), but there are currently no equivalent relationships available for such events. The same procedure proposed here could equally be applied with another empirical relationship between magnitude and rupture dimensions (e.g., Clark et al, 2014;Leonard, 2014;Stafford, 2014). To account for the variability in that empirical relationship, we used an equivalent five-point distribution based upon equating moments and using GaussHermite quadrature (Miller and Rice, 1983).…”