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Spectral Analysis of Earthquake Migration in South America

  • Jacques Delsemme
  • Albert T. Smith
Chapter
  • 51 Downloads
Part of the Contributions to Current Research in Geophysics book series (CCRG)

Abstract

Earthquake migration along linear seismic belts is investigated by analyzing space-time diagrams using spectral analysis. In order to sample the earthquakes in the space-time domain, they must first be convolved with a (sin x sin t)/xt surface to obtain an unbiased and alias free two-dimensional Fourier spectrum. Further enhancements are provided by selectively stacking patterns (a pattern is defined as the distribution of earthquakes in space and time before a particular earthquake), thereby reinforcing the similarities within the various patterns. With these techniques, it is possible to quantitatively estimate the migration rates (from their spatial frequencies) and recurrence intervals (from their temporal frequencies) of large earthquakes in South America.

Preliminary examination of the spectra for South America indicates that a low frequency peak occurs at approximately 2500 km and 27 years for earthquakes with magnitudes greater than 7.7. The results suggest a migration rate of approximately 95 km/yr from south to north and a recurrence interval of 27 years.

Key words

Earthquake prediction Earthquake migration Tectonics South America 

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References

  1. Bartlett, M. S. The spectral analysis of two-dimensional point processes, Biometrika 57, 299–311.Google Scholar
  2. Brigham, E. O., The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs 1974).Google Scholar
  3. Dewey, J. (1976), Seismicity of northern Anatolia, Bull. Seismol. Soc. Am. 66, 843–868.Google Scholar
  4. Dud A. S. J. (1965), Secular seismic energy release in the circum-Pacific belt, Tectonophysics 2, 409–452.CrossRefGoogle Scholar
  5. French, A. S. and Holden A. V. (1971), Alias-free sampling of Neuronal spike trains, Kybernetik 8, 5, 165–171.CrossRefGoogle Scholar
  6. Greensfelder, R. W. (1972), Crustal movement investigations in California; their history, data, and significance, Calif. Div. Mines Geol., Special Publ. 37.Google Scholar
  7. Greensfelder, R. W. and Bennett, J. H. (1973), Characteristics of strain variation along the San Andreas fault from geodimeter measurements, Standford Univ. Publ., Geol. Sci. XIII, 54–63.Google Scholar
  8. Kagan, Y. and Knopoff, L. (1976), Statistical search for non-random features of the seismicity of strong earthquakes, Phys. Earth Planet. Int. 12, 291–318.CrossRefGoogle Scholar
  9. Kagan, Y. and Knopoff, L. (1977), Earthquake risk prediction as a stochastic process, Phys. Earth Planet, Int. 14, 97–108.CrossRefGoogle Scholar
  10. Kanamori, H. (1977), The energy release in great earthquakes, J. Geophys. Res. 82, 20, 2981–2988.CrossRefGoogle Scholar
  11. Kanamori, H. (1978), Quantification of earthquakes, Nature 271, 411–414.CrossRefGoogle Scholar
  12. Kelleher, J. A. (1970), Space-time seismicity of the Alaska-Aleutian seismic zone, J. Geophys. Res. 75, 29, 5745–5756.CrossRefGoogle Scholar
  13. Kelleher, J. A. (1972), Rupture zones of large South American earthquakes and some predictions, J. Geophys. Res. 77, 2087–2103.CrossRefGoogle Scholar
  14. Kelleher, J., Sykes, L. and Oliver J. (1973), Possible criteria for predicting earthquake locations and their application to major plate boundaries of the Pacific and the Caribbean, J. Geophys. Res. 78, 14, 2547–2585.CrossRefGoogle Scholar
  15. Kelleher, J., Sa vino, J., Rowlett, H. and McCann, W. (1974), Why and where great earthquakes occur along island arcs, J. Geophys. Res. 79, 32, 4889–4899.CrossRefGoogle Scholar
  16. Kelleher, J. and Savino, J. (1975), Distribution of seismicity before large strike slip and thrust-type earthquakes, J. Geophys. Res. 80, 2, 260–271.CrossRefGoogle Scholar
  17. Kelleher, J. and W. McCann, W. (1976), Buoyant zones, great earthquakes, and unstable boundaries of subduction, J. Geophys. Res. 81, 26, 4885–4896.CrossRefGoogle Scholar
  18. Knopoff, L. (1964), The statistics of earthquakes in Southern California, Bull. Seismol. Soc. Am. 54, 1871–1873.Google Scholar
  19. Lomnitz, C, Global Tectonics and Earthquake Risk (Elsevier Scientific Publishing Co. 1974).Google Scholar
  20. Mogi, K. (1968a), Migration of seismic activity, Bull. Earthquake Res. Inst. 46, 53–74.Google Scholar
  21. Mogi, K. (1968b), Sequential occurrences of recent great earthquakes, J. Phys. Earth 16, 1, 30–36.CrossRefGoogle Scholar
  22. Papoulis, A., Probability, Random Variables and Stochastic Processes (McGraw-Hill Book Co., New York, 1965).Google Scholar
  23. Papoulis, A., Systems and Transforms with Applications in Optics (McGraw-Hill Book Co., New York 1968).Google Scholar
  24. Rayner, J. N. An Introduction to Spectral Analysis (Pion Limited, London 1971).Google Scholar
  25. Scholz, C. H. (1977), A physical interpretation of the Haicheng earthquake prediction, Nature 267, 121–124.CrossRefGoogle Scholar
  26. Schlien, S. and Toksoz, M. N. (1970), A clustering model for earthquake occurrences, Bull. Seism. Soc. Am. 60, 6, 1765–1787.Google Scholar
  27. Telford, W. M., Geldart, L. P., Sheriff, R. E. and Keys, D. A., Applied Geophysics (Cambridge University Press, Cambridge 1976).Google Scholar
  28. Toksoz, M. N., Shakal, A. F. and Michael, A. J., Space-time migration of earthquakes along the north Anatolian fault zone and seismic gaps. In Proc. of Conf. VI, Methodology for identifying seismic gaps and soon-to-break gaps. USGS Open-file report 78–943 (1978), 829–856.Google Scholar
  29. U.S. Earthquakes, Principal Earthquakes of the World, U.S. Government Printing Office, Washington, D.C. 20402 (1965 to 1974).Google Scholar
  30. Wood, M. D. and Allen, S. S. (1973), Recurrence of seismic migrations along the central California segment of the San Andreas fault system, Nature 244, 213–215.CrossRefGoogle Scholar
  31. Yang, M., The effect of viscoelastic medium and earthquakes on plate motion, Personal communication (1976).Google Scholar

Copyright information

© Springer Basel AG 1979

Authors and Affiliations

  • Jacques Delsemme
    • 1
  • Albert T. Smith
    • 1
  1. 1.Earth Sciences BoardUniversity of CaliforniaSanta CruzUSA

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