Derivation of the Gutenberg-Richter empirical formula from the solution of the generalized logistic equation

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References

[1] Ishimoto, M. and Iida, K. (1939) Observations sur les seismes enregistres parle microsismographe construit dernierement (1). Bulletin of the Earthquake Research Institute, 17, 443-478.

[2] Gutenberg, B. and Richter, C.F. (1942) Earthquake magnitude, intensity, energy and acceleration. Bulletin of the Seismological Society of America, 32, 163-191.

[3] Main, I. (1996) Statistical physics, seismogenesis, and seismic hazard. Reviews of Geophysics, 34, 433-462.
doi:10.1029/96RG02808

[4] Bundle, J.B., Turcott, D.L., Shcherbakov, R., Klein, W., Sammis, C. (2003) Statistical physics approach to understanding the multiscale dynamics of earthquake fault system. Reviews of Geophysics, 41, 1-30.

[5] Ayele, A. and Kulhanek, O. (1997) Spatial and temporal variation of seismicity in the horn of Africa from 1960 to 1993. Geophysical Journal International, 130, 805-810.
doi:10.1111/j.1365-246X.1997.tb01875.x

[6] Gerstenberger, M., Wiemer, S. and Gardini, D. (2001) A systematic test of the hypothesis that the b-value varies with depth in California. Geophysical Research Letters, 28, 57-60. doi:10.1029/2000GL012026

[7] Gibowicz, S.J. and Lasocki, S. (2001) Seismicity induced by mining: Ten years later. In: Dmowska, R. and Saltzman, B., Eds., Advances in Geophysics, Academic Press, Academic Press, 39-181.

[8] Smyth, C. and Mori, J. (2009) Temporal variations of the Gutenberg-Richter distribution prior to the Kobe earthquake. Annals of Disaster Prevention Research Institute, 52B, 255-261.