Research on the multifractal characteristics of the temporal-spatial distribution of earthquakes over New Zealand area
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Using the Hill estimator, general multifractal characteristics of events in the New Zealand area have been discussed. Results show that the spatial distribution of shallow events has apparent clustering characteristics, independent of the threshold magnitude; but for deep events these characteristics are not clear. While the time interval distribution has obvious clustering characteristics both for deep and shallow events, although with a different scaling range, the Hill estimates tend to indicate that the time interval distribution has a unifractal rather than a multifractal nature. All above reveal that the seismicity nature for shallow and deep events is apparently different.
Key wordsmultifractal unifractal shallow events moderate-to-deep events New Zealand
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- AN Zhen-wen, YANG Cui-hua, WANG Lin-ying, et al. 2000. Study on the multifractals of time and space clustering of earthquakes [J]. Chinese J Geophys, 43(1): 74–80 (in Chinese).Google Scholar
- Grassberger P. 1983. Generalized dimensions of strange attractors [J]. Physics Letters, 97A(6): 227–230.Google Scholar
- Harte D. 2000. Document for the Statistical Seismology Library, Research Rept [R]. New Zealand: School of Mathematics and Computing Sciences, Victoria University of Wellington, 1–162.Google Scholar
- Harte D. 2001. Multifractals: Theory and Application [M]. New York: Chapman & Hall/CRC Press, 29–46, 127–194.Google Scholar
- MA Zong-Jin. 1992. Basis for Active Tectonics and Earthquake Engineering [M]. Beijing: Seismological Press, 141–172 (in Chinese).Google Scholar
- Vere-Jones D. 1970. Stochastic models for earthquakes occurrence [J]. J R Stat Soc, 32: 1–45.Google Scholar
- Vere-Jones D. 1998. Probability and information gain for earthquake forecasting [J]. Computational Seismology, 30: 248–263.Google Scholar
- Vere-Jones D, DENG Yong-lu. 1988. A point process analysis of historical earthquakes from North China [J]. Earthquake Res China, 2(2): 165–181.Google Scholar
- Wang Jeen-Hwa, Lee Chung-Wein. 1997. Multifractal measures of time series of earthquakes [J]. J Phys Earth, 45: 331–345.Google Scholar