2004 Volume 80 Issue 9 Pages 429-434
It is explained, from first Principles, why in the Gutenberg-Richter law (stating that the cumulative number of earthquakes N(>M) with magnitude greater than M is given by N(>M) ~ 10-bM) the so called b-value is usually found to be around unity varying only slightly from region to region. The explanation is achieved just by applying the analysis in the natural time domain, without using any adjustable parameter.
(Communicated by Seiya UYEDA, M.J.A.)