Skip to main content

Volume 58 Supplement 2

Special Issue: The 2004 Great Sumatra Earthquake and Tsunami

The effect of distribution of stations upon location error: Statistical tests based on the double-difference earthquake location algorithm and the bootstrap method

Abstract

In this letter, we investigate the effect of station distribution (including the number and azimuthal gap of stations) upon location error based on the field data observed at Northern California Seismic Network (NCSN) using a double-difference earthquake location algorithm and a bootstrap method. The earthquakes relocated by all 117 stations are set as reference and the error of location is defined as the RMS of the difference to the reference. We find that the location error has a nonlinear relationship with the distribution of stations. The results may be used as guidelines for building seismic network.

References

  • Bartal, Y., Z. Somer, G. Leonard, D. M. Steinberg, and Y. B. Horin, Optimal seismic network in Israel in the context of the Comprehensive Test Ban Treaty, Bull. Seism. Soc. Am., 90, 151–165, 2000.

    Article  Google Scholar 

  • Bondár, I., S. C. Myers, E. R. Engdual, and E. A. Bergman, Epicentre accuracy based on seismic network criteria, Geophys. J. Int., 156, 483–496, 2004.

    Article  Google Scholar 

  • Efron, B., Bootstrap methods: another look at the jackknife, Annals of Statistics, 7, 1–26, 1979.

    Article  Google Scholar 

  • Efron, B., The Jackknife, the Bootsreap, and Other Resampling Plans, Philadelphia: SIAM, 92 pp, 1982.

    Book  Google Scholar 

  • Hardt, M. and F. Scherbaum, The design of optimum network for aftershock recordings, Geophys. J. Int., 117, 716–726, 1994.

    Article  Google Scholar 

  • Kijko, A., An algorithm for the optimum distribution of a regional seismic network, Pure App. Geophys., 115, 999–1009, 1977.

    Article  Google Scholar 

  • Marcello, V., A. Dario, and M. Enzo, Classificatin of seismic strain estimates in the Mediterranean region from a ‘bootstrap’ approach, Geophys. J. Int., 146, 399–415, 2001.

    Article  Google Scholar 

  • Rabinowitz, N. and D. M. Steinberg, Optimal configuration of a seismographic network: a statistical approach, Bull. Seism. Soc. Am., 80, 187–196, 1990.

    Google Scholar 

  • Waldhauser, F. and W. L. Ellsworth, A double-difference earthquake location algorithm: method and application to the Northern Hayward fault, California, Bull. Seism. Soc. Am., 90, 1353–1368, 2000.

    Article  Google Scholar 

  • Zallen, R. Overview and application of percolation theory, Ann. Israel Phys. Soc, 2, 309–327, 1978.

    Google Scholar 

  • Zhang, H. J. and C. H. Thurber, Double-difference tomography: the method and its application to the Hayward fault, California, Bull. Seism. Soc. Am., 93, 1875–1889, 2003.

    Article  Google Scholar 

  • Zhang, T. Z., Y Huang, and B. Wu, The effect of data recorded at nearby stations on relative location algorithm, Abstract of AGU fall meeting, S51B-1003, 2005.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ling Bai.

Rights and permissions

Open Access  This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.

Reprints and Permissions

About this article

Cite this article

Bai, L., Wu, Z., Zhang, T. et al. The effect of distribution of stations upon location error: Statistical tests based on the double-difference earthquake location algorithm and the bootstrap method. Earth Planet Sp 58, e9–e12 (2006). https://doi.org/10.1186/BF03353364

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03353364

Key words

  • Number of stations
  • azimuthal gap of stations
  • location error
  • double-difference earthquake location algorithm
  • bootstrap method