  The aspect of self-affine nature of faulting and fracture is widely
documented from the data analysis of both field observations and laboratory
experiments. In this direction, Huang and Turcotte have stated that the
statistics of regional seismicity could be merely a macroscopic reflection of
the physical processes in earthquake source, namely, the activation of a single
fault is a reduced self-affine image of regional seismicity. This work verifies
the aforementioned proposal. More precisely we show that the population of: (i)
the earthquakes that precede of a significant event and occur around its the
epicentre, and (ii) the "fracto-electromagnetic earthquakes" that are emerged
during the fracture of strong entities distributed along the activated single
fault sustaining the system follow the same statistics, namely, the relative
cumulative number of earthquakes against magnitude. The analysis is mainly
performed by means of a recently introduced nonextensive model for earthquake
dynamics which leads to a Gutenberg-Richter type law. We examine the variation
of the parameters $q$ and $\alpha$, which are included in the nonextensive law,
for different thresholds of magnitude and different radius around the
epicentre. Such analysis enhances the physical background of the underlying
self-affinity. The parameter $q$ describes the deviation of Tsallis entropy
from the extensive Boltzmann-Gibbs entropy, and $\alpha$ is the constant of
proportionality between the energy released during the fracture of a fragment
and its size.
