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On estimation of earthquake magnitude in Earthquake EarlyWarning systems
Earth, Planets and Space volume 61, pages1275–1285(2009)
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.
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.
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.
Graybill, F. A., Theory and Application of Linear Model, Duxbury, United States, 1976.
Kanamori, H., Real-time seismology and earthquake damage mitigation, Ann. Rev. Earth Planet. Sci., 33, 195–214, 2005.
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.
Kinoshita, S., Kyoshin Net (K-NET), Seismol. Res. Lett., 69, 309–332, 1998.
Klepper, S. and E. E. Leamer, Consistent sets of estimates for regressions with errors in all variables, Econometrics, 53(1), 163–183, 1984.
Li, C. and H. C. Chiu, A simple method to estimate the seismic moment from seismograms, Proc. Geol. Soc. China, 32, 197–207, 1989.
Lieftinck-Koeijers, C. A. J., Multivariate calibration: a generalization of the classical estimator, J. Multivar. Anal., 25, 31–44, 1988.
Lockman, A. B. and R. M. Allen, Single-station earthquake characterization for early warning, Bull. Seismol. Soc. Am., 95, 2029–2039, 2005.
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.
Maddala, G. S., Introduction to Econometrics, Englewood Cliffs, NJ: Prentice Hall, 1992.
Merkle, W., Statistical methods in regression and calibration analysis of chromosome aberration data, Radiat. Environ. Biophys., 21, 217–233, 1983.
Osborne, C., Statistical calibration: a review, Inter. Statist. Rev., 59(3), 309–336, 1991.
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.
Sato, T. and T. Hirasawa, Body wave spectra from propagating shear cracks, J. Phys. Earth, 21, 415–431, 1973.
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.
Sprent, P., Models in regression and related topics, in Methuen’s Monographs on Applied Probability and Statistics, 173 pp., London, 1969.
Wang, J. H., C. C. Liu, and Y. B. Tsai, Local magnitude determined from a simulated Wood-Anderson seismograph, Tectonophysics, 166, 15–26, 1989.
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.
Wu, Y. M. and H. Kanamori, Development of an earthquake early warning system using real-time strong motion signals, Sensors, 8, 1–9, 2008a.
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.
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.
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.
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.
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.
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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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Key words
- Earthquake early warning
- magnitude estimation
- characteristic period