KJSSOneDayCalifornia and KJSSFiveYearCalifornia models

These models were introduced by Kagan and Jackson (2010)\cite{kagan2010short}. The KJSSFiveYearsCalifornia model is obtained from a long-term model determined by smoothing the location of past seismicity, while the KJSSOneDayCalifornia model uses the branching model by Kagan and Jackson (2000) \cite{kagan2000probabilistic} for the aftershocks. The latter assumes an Omori law decay in time and isotropic spatial triggering function, and a spatially varying background rate obtained by smoothing the locations of observed earthquakes using an isotropic kernel given by a Rayleigh distribution. The magnitudes follows a standard GR law with $b = 0.975$. The parameters are calibrated using $4,497$ $M \geq 4.0$ events reported in the ANSS catalogue between January 1, 1932 and October 2, 2008. The difference between the two models is that KJSSOneDayCalifornia includes a fraction of the KJSSFiveYearCalifornia model plus time-dependent contributions from all previous earthquakes.