Abstract
The Gutenberg-Richter (GR) law is a well-known empirical relation in seismology, which describes the frequency of earthquake occurrence as a function of the magnitude. The \(b\)-value anomalies may indicate the high or low-stress levels in the heterogeneity or the crust's thermal gradient. Some researchers have examined the spatial and temporal anomalies of the \(b\)-value before the mainshock and the aftershocks' spatial variability. The variations of the magnitude completeness (\({M}_{c}\)) have estimated from the different earthquake catalogues. The high-resolution map of the GR \(b\)-value, \({M}_{c}\) and stress variance have analysed in the different seismic regions in the Eastern Mediterranean and Caucasus. This study considered the spatial anomalies and correlation models between the \(b\)-value, faulting styles, and stress regime and moment release. Lower \(b\)-values (\(b\le 1\)) were observed along with the Main Marmara Fault (MMF), eastern Turkey, western Alborz, northern Zagros, southeast Iran and the northeast Caucasus, which indicates the active seismic region. The \({M}_{c}\) level in most of Turkey is in and around 2.8, and in the Caucasus is \({M}_{c}\)=3, while Iran has \({M}_{c}\)=3.5 value. This work includes a stress inversion map in the region based on the focal mechanisms. The normal, strike-slip and a few thrust fault solutions were observed in the research area. Consequently, the spatial pattern of the \(b\)-values and stress regime can be used as a tool for predicting the forthcoming seismic hazard regions.