  In this article we implemented simulations of the OFC model for earthquakes
for two different topologies: regular and small-world, where in the latter the
links are randomly rewired with probability $p$ . In both topologies, we have
studied the distribution of time intervals between consecutive earthquakes and
the border effects present in each one. In addition, we also have characterized
the influence that the probability $p$ produces in certain characteristics of
the lattice and in the intensity of border effects. From the two topologies,
networks of consecutive epicenters were constructed, that allowed us to analyze
the distribution of connectivities of each one. In our results distributions
arise belonging to a family of non-traditional distributions functions, which
agrees with previous studies using data from actual earthquakes. Our results
reinforce the idea that the Earth is in a critical self-organized state and
furthermore point towards temporal and spatial correlations between earthquakes
in different places.
