Recurrent patterns in the spatial behaviour of Italian seismicity revealed by the fractal approach

Three are the essential parameters needed to describe seismicity: the b-value of the Gutenberg-Richter relation and the spatial and temporal fractal dimensions (Ds and Dt). Several cases have been reported when a significant decrease in the b-value or in the spatial fractal dimension preceded major earthquake sequences or aftershocks. Here we use the fractal method based on the correlation integral to study the temporal changes in the spatial (2-D) distribution of earthquakes in three important seismic zones of Italy. In all three zones Ds shows significant variability, which correlates well with the major events and clearly marks the beginning and the end of an earthquake cycle. Finally, the nucleation of most major events is associated with a fractal dimension value which corresponds to the topological dimension of a plane.

[1]  Toru Ouchi,et al.  Statistical analysis of the spatial distribution of earthquakes—variation of the spatial distribution of earthquakes before and after large earthquakes , 1986 .

[2]  D. Ruelle,et al.  Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems , 1992 .

[3]  Leonard A. Smith Intrinsic limits on dimension calculations , 1988 .

[4]  D. Turcotte,et al.  Fractal distributions of stress and strength and variations of b-value , 1988 .

[5]  Yan Y. Kagan,et al.  Spatial distribution of earthquakes: the two-point correlation function , 1980 .

[6]  Takayuki Hirata,et al.  A correlation between the b value and the fractal dimension of earthquakes , 1989 .

[7]  D. Sornette,et al.  Are sequences of volcanic eruptions deterministically chaotic , 1991 .

[8]  P. Grassberger Generalized dimensions of strange attractors , 1983 .

[9]  M. Radulian,et al.  Would it have been possible to predict the 30 August 1986 Vrancea earthquake? , 1991, Bulletin of the Seismological Society of America.

[10]  M. Möller,et al.  Errors from digitizing and noise in estimating attractor dimensions , 1989 .

[11]  Yan Y. Kagan,et al.  Long-term earthquake clustering , 1991 .

[12]  J. Havstad,et al.  Attractor dimension of nonstationary dynamical systems from small data sets. , 1989, Physical review. A, General physics.

[13]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .

[14]  G. Korvin,et al.  Fractal characterization of the South Australian gravity station network , 1990 .