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Assessment of the relative ratio of correlated and uncorrelated waiting times in the Southern California earthquakes catalogue

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  • Matcharashvili, Teimuraz
  • Chelidze, Tamaz
  • Zhukova, Natalia

Abstract

In the present study, we investigated the interevent time interval distribution of earthquakes in Southern California. We analyzed and compared datasets of waiting times between consecutive earthquakes and time structure-distorted datasets. The aim of this study was to determine the proportion of waiting time values in the original catalogue that can be regarded as statistically distinguishable or indistinguishable from the baseline time intervals datasets where the original structure of the temporal distribution of earthquakes was disrupted. We compiled two types of time structure-distorted baseline sequences, which comprised mean values of: (a) shuffled original interevent data and (b) interevent times data from time-randomized catalogues. To compare the dynamical characteristics of the original and time structure-distorted baseline sequences, we used several data analysis methods such as power spectrum regression, detrended fluctuation, and multifractal detrended fluctuation analysis. We also tested the nonlinear structure of the original and baseline sequences using the magnitude and sign scaling analysis method. We calculated theZscore in order to assess whether the interevent time values in the original dataset shared statistical similarity or dissimilarity with the time structure-distorted baseline interevent data sequence. We compared the interevent time values in the original dataset with the mean baseline interevent times computed for two types of time structure-distorted sequences. The results showed that about 30% of the original interevent times were statistically indistinguishable from the mean of the shuffled dataset and 10% from the mean of the time structure-distorted baseline interevent dataset. We performed similar analyses for other catalogues obtained from different parts of the world. According to the results of this analysis, the proportion of events in the original catalogues that were indistinguishable from sequences with disturbed time structure did not contradict the results obtained for the Southern California catalogue.

Suggested Citation

  • Matcharashvili, Teimuraz & Chelidze, Tamaz & Zhukova, Natalia, 2015. "Assessment of the relative ratio of correlated and uncorrelated waiting times in the Southern California earthquakes catalogue," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 291-303.
    • Handle: RePEc:eee:phsmap:v:433:y:2015:i:c:p:291-303
    DOI: 10.1016/j.physa.2015.03.060
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    References listed on IDEAS

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    1. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
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    4. Giulio Di Toro & David L. Goldsby & Terry E. Tullis, 2004. "Friction falls towards zero in quartz rock as slip velocity approaches seismic rates," Nature, Nature, vol. 427(6973), pages 436-439, January.
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    1. Lahmiri, Salim, 2017. "On fractality and chaos in Moroccan family business stock returns and volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 29-39.
    2. Matcharashvili, Teimuraz & Zhukova, Natalia & Chelidze, Tamaz & Founda, Dimitra & Gerasopoulos, Evangelos, 2017. "Analysis of long-term variation of the annual number of warmer and colder days using Mahalanobis distance metrics — A case study for Athens," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 22-31.
    3. Lahmiri, Salim, 2016. "Clustering of Casablanca stock market based on hurst exponent estimates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 310-318.
    4. Hayat, Umar & Barkat, Adnan & Ali, Aamir & Rehman, Khaista & Sifat, Shazia & Iqbal, Talat, 2019. "Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 71-82.
    5. Matcharashvili, T. & Chelidze, T. & Javakhishvili, Z. & Zhukova, N., 2016. "Variation of the scaling characteristics of temporal and spatial distribution of earthquakes in Caucasus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 136-144.

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