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Long-range correlations in two-dimensional spatio-temporal seismic fluctuations

Author

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  • Telesca, Luciano
  • Lovallo, Michele
  • Lapenna, Vincenzo
  • Macchiato, Maria

Abstract

We analysed the scaling behaviour of the two-dimensional (2-D) sequence (Δs, Δt) of the 1981–1998 southern California seismicity, where Δs is the distance between two consecutive earthquakes (jump) and Δt is their interevent interval. The 2-D seismic spatio-temporal fluctuations were investigated by means of the detrended fluctuation analysis (DFA), well-known methodology used to detect scaling behaviour in observational time series possibly affected by nonstationarities. The estimated scaling exponents αDFA, larger than 0.5, indicate the presence of persistent long-range correlations in the 2-D sequence analysed. The variation of the scaling exponent with the increase of threshold magnitude shows a two-fold behaviour: in the range between 1.5 (the completeness magnitude of the catalog) and 3.0, the scaling exponent is quite constant and denoting a flicker-noise dynamics; while for magnitudes larger than 3.0 it decreases with the increase of magnitude, indicating a tendency toward a 2-D space–time Poissonian process for large events.

Suggested Citation

  • Telesca, Luciano & Lovallo, Michele & Lapenna, Vincenzo & Macchiato, Maria, 2007. "Long-range correlations in two-dimensional spatio-temporal seismic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 279-284.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:1:p:279-284
    DOI: 10.1016/j.physa.2006.10.092
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    Citations

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    Cited by:

    1. Telesca, Luciano & Pierini, Jorge O. & Scian, Beatrice, 2012. "Investigating the temporal variation of the scaling behavior in rainfall data measured in central Argentina by means of detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1553-1562.
    2. Filho, A.S. Nascimento & Araújo, M.L.V. & Miranda, J.G.V. & Murari, T.B. & Saba, H. & Moret, M.A., 2018. "Self-affinity and self-organized criticality applied to the relationship between the economic arrangements and the dengue fever spread in Bahia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 619-628.
    3. Zhang, Xiaonei & Zeng, Ming & Meng, Qinghao, 2018. "Multivariate multifractal detrended fluctuation analysis of 3D wind field signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 513-523.
    4. Ozger, Mehmet, 2011. "Scaling characteristics of ocean wave height time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 981-989.
    5. Telesca, Luciano & Golay, Jean & Kanevski, Mikhail, 2015. "Morisita-based space-clustering analysis of Swiss seismicity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 40-47.
    6. Kanevski, Mikhail & Pereira, Mário G., 2017. "Local fractality: The case of forest fires in Portugal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 400-410.
    7. Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos & Rodriguez, Eduardo & Dagdug, Leonardo, 2008. "1/f-Noise structures in Pollocks's drip paintings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 281-295.
    8. Alvarez-Ramirez, J. & Echeverria, J.C. & Rodriguez, E., 2012. "Temporal variations of long-term correlations in seismic activity fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2261-2267.
    9. Hernandez-Martinez, Eliseo & Velasco-Hernandez, Jorge X. & Perez-Muñoz, Teresa & Alvarez-Ramirez, Jose, 2013. "A DFA approach in well-logs for the identification of facies associations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6015-6024.
    10. Martín-Montoya, L.A. & Aranda-Camacho, N.M. & Quimbay, C.J., 2015. "Long-range correlations and trends in Colombian seismic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 124-133.
    11. Zheng, Hongyang & Song, Weiguo & Wang, Jian, 2008. "Detrended fluctuation analysis of forest fires and related weather parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2091-2099.
    12. Telesca, Luciano & Song, Weiguo, 2011. "Time-scaling properties of city fires," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 558-568.
    13. dos Anjos, Priscilla Sales & da Silva, Antonio Samuel Alves & Stošić, Borko & Stošić, Tatijana, 2015. "Long-term correlations and cross-correlations in wind speed and solar radiation temporal series from Fernando de Noronha Island, Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 90-96.
    14. 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.
    15. Ke Ma & Long Guo & Wangheng Liu, 2018. "Investigation of the Spatial Clustering Properties of Seismic Time Series: A Comparative Study from Shallow to Intermediate-Depth Earthquakes," Complexity, Hindawi, vol. 2018, pages 1-10, November.

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