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The complexity of seismicity and the relation of magnitude and frequency are discussed in this paper on the basis of nonlinear dynamics and multifractal theory. We argue that seismic active systems normally have multifractal characteristics, either for the spatial-temporal distribution or the intensity distribution of events. In the view of multifractal theory the nonlinear characteristics of the magnitude-frequency relation are discussed and the formulation is revised. Also, one example of the variance of bq estimated based on the recent New Zealand catalogue is enumerated.
The complexity of seismicity and the relation of magnitude and frequency are discussed in this paper on the basis of nonlinear dynamics and multifractal theory. We argue that seismic active systems normally have multifractal characteristics, either for the spatial-temporal distribution or the intensity distribution of events . In the view of multifractal theory the nonlinear characteristics of the magnitude-frequency relation are discussed and the formulation is revised. Also, one example of the variance of bq estimated based on the recent New Zealand catalog is enumerated.