Scaling behavior of earthquakes’ inter-events time series

Shahriar Shadkhoo 1 , Fakhteh Ghanbarnejad 2 , Gholam Jafari 1 , and Mohammad Tabar 1
  • 1 Department of Physics, Sharif University of Technology, P. O. Box 11365-9161, Tehran, Iran
  • 2 Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran, 19839, Iran


In this paper, we investigate the statistical and scaling properties of the California earthquakes’ inter-events over a period of the recent 40 years. To detect long-term correlations behavior, we apply detrended fluctuation analysis (DFA), which can systematically detect and overcome nonstationarities in the data set at all time scales. We calculate for various earthquakes with magnitudes larger than a given M. The results indicate that the Hurst exponent decreases with increasing M; characterized by a Hurst exponent, which is given by, H = 0:34 + 1:53/M, indicating that for events with very large magnitudes M, the Hurst exponent decreases to 0:50, which is for independent events.

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