Temporal characteristics of seismicity in the Alborz and Zagros regions of Iran, using a multifractal approach

Multifractal characteristics of the temporal distribution of earthquakes in the Zagros and Alborz regions of Iran were analyzed using the fixed-mass method. The generalized multifractal dimensions, singularity spectrum, mass exponents, and the asymmetry factor were calculated for these regions. The results indicate that the temporal distributions of earthquakes in the Zagros and Alborz regions are likely to be chaotic and have multifractal structures. Although both of the study areas show heterogeneous structures, the Dq and f(αq) spectra for the Zagros region indicate that densely populated time domains are as heterogeneous as the sparsely populated ones. On the other hand, the multifractal spectra of the Alborz region show that the densely clustered time domains are more heterogeneous than the sparsely populated ones. Such a multifractal spectrum shows that there are many more sparsely populated time domains (i.e. seismic gaps) within the multifractal structure than densely populated ones.