Regular Article

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

¹ School of Mathematical Sciences, Ocean University of China, Qingdao 266100, P.R. China
² The First Institute of Oceanography, Key Laboratory of Marine Science and Numerical Modeling (MASNUM), State Oceanic Administration, Qingdao 266061, P.R. China
³ Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266237, P.R. China
⁴ National Engineering Laboratory for Integrated Aero-Space-Ground-Ocean Big Data Application Technology, First Institute of Oceanography, Ministry of Natural Resources, Qingdao 266061, P.R. China

^a e-mail: linminouc@163.com

Received: 1 November 2019
Received in final form: 15 January 2020
Published online: 9 March 2020

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 ρ_DCCA 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.