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The Application of M-Function Analysis to the Geographical Distribution of Earthquake Sequence

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Classification and Data Mining

Abstract

Seismicity is a complex phenomenon and its statistical investigation is mainly concerned with the developing of computational models of earthquake processes. However, a substantial number of studies have been performed on the distribution of earthquakes in space and time in order to better understand the earthquake generation process and improve its prediction. The objective of the present paper, is to explore the effectiveness of a variant of Ripley’s K-function, the M-function, as a new means of quantifying the clustering of earthquakes. In particular we test how the positions of epicentres are clustered in space with respect to their attributes values, i.e. the magnitude of the earthquakes. The strength of interaction between events is discussed and results for L’Aquila earthquake sequence are analysed.

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References

  • Adelfio, G., & Chiodi, M. (2009). Second-order diagnostics for space-time point processes with application to seismic events. Environmetric,20, 895–911.

    Google Scholar 

  • Adelfio, G., & Schoenberg, F. P. (2009). Point process diagnostics based on weighted second-order statistics and their asymptotic properties. Annals of the Institute of Statistical Mathematics,61, 929–948.

    Google Scholar 

  • Baddeley, A., Møller, J., & Waagepetersen, R. (2000). Non and semi-parametric estimation of interaction in inhomogeneous point patterns. Statistica Neerlandica,54(3), 329–350.

    Google Scholar 

  • Gabriel, E., & Diggle, P. J. (2009). Second-order analysis of inhomogeneous spatio-temporal point process data. Statistica Neerlandica,63(1), 43–51.

    Google Scholar 

  • Getis, A. (1984). Interaction modeling using second-order analysis. Environmental and Planning A,16, 173–183.

    Google Scholar 

  • Marcon, E., & Puech, F. (2003a). Evaluating the geographic concentration of industries using distance-based methods. Journal of Economic Geography,3(4), 409–428.

    Google Scholar 

  • Marcon, E., & Puech, F. (2003b). Measures of the Geographic Concentration of Industries: Improving Distance-based Methods, Working paper. Universitè Paris I, Cahiers de la MSE.

    Google Scholar 

  • Ogata, Y. (1998). Space-time point-process models for earthquake occurrences. Annals of the Institute of Statistical Mathematics,50(2), 9–27.

    Google Scholar 

  • Ogata, Y., Zhuang, J., & Vere-Jones, D. (2002). Stochastic declustering of space-time earthquake occurrences. Journal of the American Statistical Association,97(458), 369–380.

    Google Scholar 

  • Ripley, B. D. (1976). The second-order analysis of stationary point processes. Journal of Applied Probability,13(2), 255–266.

    Google Scholar 

  • Schoenberg, F. P. (2004). Testing separability in multi-dimensional point processes. Biometrics,60, 471–481.

    Google Scholar 

  • Vere-Jones, D. (1970). Stochastic models for earthquake occurrence. Journal of the Royal Statistical Society, Series B,32, 1–62.

    Google Scholar 

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Correspondence to Eugenia Nissi .

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Nissi, E., Sarra, A., Palermi, S., De Luca, G. (2013). The Application of M-Function Analysis to the Geographical Distribution of Earthquake Sequence. In: Giusti, A., Ritter, G., Vichi, M. (eds) Classification and Data Mining. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28894-4_32

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