A Mixed-Effect Scaling Model for Kinematic Slip-Fields

We addressed uncertainties in source-scaling relationships caused by database heterogeneities in kinematic fault-rupture models using a linear mixed-effects regression model. A total of 23 source-scaling relationships for various source scaling parameters are developed with respect to moment magnitude using a combined database of 465 rupture models from SRCMOD and USGS events. Detailed residual analyses and comparison studies are performed to evaluate the best fit for each parameter. The proposed relationships adhere to the regression principles and compare well with other scaling relationships. We observed that incorporating random effects improves the model’s prediction capacity, particularly for groups with small data population.