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On estimation of earthquake magnitude in Earthquake EarlyWarning systems

Earth, Planets and Space volume 61, pages 1275–1285 (2009)Cite this article

Abstract

Determination of earthquake magnitude from the initial P-wave portion of ground motion is the key problems for Earthquake Early Warning (EEW). We analyzed performance of scaling relations between one of the frequently used early warning parameters, so-called characteristic period τC and moment magnitude MW in respect of (a) characteristics of datasets accumulated in various regions (earthquake depth, characteristics of network) and (b) variation of initial conditions applying for determination of the parameter τC (length of Pwave window, number of used stations). The used data contain strong-motion records from 110 earthquakes (moment magnitude range 4.4–7.6) occurred in Japan and Taiwan. We show that, although the standard error of regression τC = f (MW) in general becomes smaller with the increase of the length of P-wave window (PL) and the number (N) of averaged observations (stations), the uncertainty in estimation of MW given observed tC does not decrease further for PL > 3–4 seconds and N > 3–4 stations. The information about earthquake depth also plays an important role in reducing the uncertainty of magnitude estimations. The table of confidence limits for estimations of the moment magnitude MW based on observations of the characteristic period τC is provided.

References

  • Aoi, A., S. Obara, S. Hori, K. Kasahara, and Y. Okada, New strong observation network KiK-net, Eos Trans. AGU, 81, F863, 2000.

    Google Scholar 

  • Cready, W. M., D. N. Hurtt, and J. A. Seida, Applying reverse regression techniques in earnings-return analyses, J. Account. Econ., 30, 227–240, 2001.

    Article  Google Scholar 

  • Furumura, T. and B. L. N. Kennett, Subduction zone guided waves and the heterogeneity structure of the subducted plate: intensity anomalies in northern Japan, J. Geophys. Res., 110, B10302. doi:10.1029/2004JB003486, 1–27, 2005.

    Google Scholar 

  • Graybill, F. A., Theory and Application of Linear Model, Duxbury, United States, 1976.

    Google Scholar 

  • Kanamori, H., Real-time seismology and earthquake damage mitigation, Ann. Rev. Earth Planet. Sci., 33, 195–214, 2005.

    Article  Google Scholar 

  • Kanno, T., A. Narita, N. Morikawa, H. Fujiwara, and Y. Fukushima, A new attenuation relation for strong ground motion in Japan based on recorded data, Bull. Seismol. Soc. Am., 96, 879–897, 2006.

    Article  Google Scholar 

  • Kinoshita, S., Kyoshin Net (K-NET), Seismol. Res. Lett., 69, 309–332, 1998.

    Article  Google Scholar 

  • Klepper, S. and E. E. Leamer, Consistent sets of estimates for regressions with errors in all variables, Econometrics, 53(1), 163–183, 1984.

    Article  Google Scholar 

  • Li, C. and H. C. Chiu, A simple method to estimate the seismic moment from seismograms, Proc. Geol. Soc. China, 32, 197–207, 1989.

    Google Scholar 

  • Lieftinck-Koeijers, C. A. J., Multivariate calibration: a generalization of the classical estimator, J. Multivar. Anal., 25, 31–44, 1988.

    Article  Google Scholar 

  • Lockman, A. B. and R. M. Allen, Single-station earthquake characterization for early warning, Bull. Seismol. Soc. Am., 95, 2029–2039, 2005.

    Article  Google Scholar 

  • Lockman, A. B. and R. M. Allen, Magnitude-period scaling relations for Japan and the Pacific Northwest: implications for earthquake early warning, Bull. Seismol. Soc. Am., 97(1B), 140–150, doi: 10.1785/0120040091, 2007.

    Article  Google Scholar 

  • Maddala, G. S., Introduction to Econometrics, Englewood Cliffs, NJ: Prentice Hall, 1992.

    Google Scholar 

  • Merkle, W., Statistical methods in regression and calibration analysis of chromosome aberration data, Radiat. Environ. Biophys., 21, 217–233, 1983.

    Article  Google Scholar 

  • Osborne, C., Statistical calibration: a review, Inter. Statist. Rev., 59(3), 309–336, 1991.

    Article  Google Scholar 

  • Rao, C. R., H. Toutenburg, Shalabh, and Heumann, Linear Models and Generalizations: Least Squares and Alternatives, 590 pp., Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg, Germany, 2007.

    Google Scholar 

  • Sato, T. and T. Hirasawa, Body wave spectra from propagating shear cracks, J. Phys. Earth, 21, 415–431, 1973.

    Article  Google Scholar 

  • Shieh, J. T., Y. M. Wu, and R. A. Allen, A comparison of τC and τC for magnitude estimation in earthquake early warming, Geophys. Res. Lett., 35, L20301, doi: 10.1029/2008GL035611, 2008.

    Article  Google Scholar 

  • Sprent, P., Models in regression and related topics, in Methuen’s Monographs on Applied Probability and Statistics, 173 pp., London, 1969.

    Google Scholar 

  • Wang, J. H., C. C. Liu, and Y. B. Tsai, Local magnitude determined from a simulated Wood-Anderson seismograph, Tectonophysics, 166, 15–26, 1989.

    Article  Google Scholar 

  • Wu, Y. M. and H. Kanamori, Rapid assessment of damage potential of earthquake in Taiwan from the beginning of P waves, Bull. Seismol. Soc. Am., 95, 1181–1185, 2005.

    Article  Google Scholar 

  • Wu, Y. M. and H. Kanamori, Development of an earthquake early warning system using real-time strong motion signals, Sensors, 8, 1–9, 2008a.

    Article  Google Scholar 

  • Wu, Y.-M. and H. Kanamori, Exploring the feasibility of on-site earthquake early warning using close-in records of the 2007 Noto Hanto earthquake, Earth Planets Space, 60, 155–160, 2008b.

    Article  Google Scholar 

  • Wu, Y. M., H. Y. Yen, L. Zhao, B. S. Huang, and W. T. Liang, Magnitude determination using initial P waves: a single-station approach, Geophys. Res. Lett., 33, L05306, doi:10.1029/2005GL025395, 2006.

    Article  Google Scholar 

  • Wu, Y. M., H. Kanamori, R. M. Allen, and E. Hauksson, Determination of earthquake early warning parameters, tC and Pd for southern California, Geophys. J. Int., 170, 711–717, 2007a.

    Article  Google Scholar 

  • Wu, Y. M., N. C. Hsiao, W. H. K. Lee, T. L. Teng, and T. C. Shin, State of art and progress in the earthquake early warning system in Taiwan, in Earthquake Early Warning Systems, edited by Gasparini, P., G. Manfredi, and J. Zschau, 283–306, Springer Berlin Heidelberg, doi:10.1007/978-3-540-72241-0, 2007b.

  • Yamada, M. and G. Mori, Using τC to estimate magnitude for earthquake early warning and effects of near-field terms, J. Geophys. Res., 114, B05301, doi:10.1029/ 2008JB006080, 2009.

    Article  Google Scholar 

  • Yamada, T. and S. Ide, Limitation of the predominant-period estimator for earthquake early warning and the initial rupture of earthquakes, Bull. Seismol. Soc. Am., 98, 2739–2745, doi:10.1785/0120080144, 2008.

    Article  Google Scholar 

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Authors and Affiliations

  1. Geophysical Institute of Karlsruhe Institute of Technology, Hertzstr. 16, Karlsruhe, 76187, Germany

    Vladimir Sokolov & Friedemann Wenzel

  2. Earthquake Research Institute, University of Tokyo, 1-1-1, Bunkyo-ku, Tokyo, Japan

    Takashi Furumura

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  1. Vladimir Sokolov
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  2. Friedemann Wenzel
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  3. Takashi Furumura
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Correspondence to Vladimir Sokolov.

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Sokolov, V., Wenzel, F. & Furumura, T. On estimation of earthquake magnitude in Earthquake EarlyWarning systems. Earth Planet Sp 61, 1275–1285 (2009). https://doi.org/10.1186/BF03352981

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