Multi-scale cross-correlation analysis of temporal and spatial seismic data

Abstract

We investigate the cross-correlation relationships between temporal and spatial seismic data by employing detrended cross-correlation analysis (DCCA) and temporal evolution of detrended cross-correlation analysis (TDCCA). The mentioned data are the series of inter-earthquakes times (IET) and inter-earthquakes distances (IED) between consecutive earthquakes in California and Sumatra regions from 1990 to 2013. Through cross-correlation test, we find long-range cross-correlation between IET and IED. We find the DCCA cross-correlation coefficient ρDCCA between them is significantly positive with the change of scale. The TDCCA between two series demonstrates cross-correlations on different window size scales over time. Strong cross-correlation levels between IET and IED on different window sizes are observed for the time periods after the big earthquakes occurred, while there are weak or no cross-correlation before and after the periods.