The Statistical Analysis of the Earthquake Hazard for Turkey by Generalized Linear Models

Abstract

In this paper, 4863 earthquake data of magnitude 4.0 and greater from 1900 to 2014 are statistically analyzed for the earthquake hazardin Turkey. The magnitude-frequency relationship in earthquake risk analysis is often performed by Gutenberg-Richter (GR) model. With the use of this model, information about earthquake potential of any region can be obtained by previous data and by estimating parameters such as return periods and possibilities of their occurrence. In this study, the relationship between earthquake numbers and magnitudes is modelled with the Generalized Linear Models (GLMs) as an alternative to Gutenberg-Richter (GR) Model. Generalized Poisson Regression Model (GPR) and Generalized Negative Binomial Regression Models (GNBR) as GLMs are utilized in the study. GPR is found as the best model when considering the dispersion parameters and model selection criteria. Exceeding probabilities and return periods are calculated for the selected years depending on yearly average occurrence number of earthquakes estimated with the GR and GPR models. According to the results, GPR model can be employed for seismic risk modelling in Turkey.

Keywords

• Earthquake,magnitude-frequency,Gutenberg-Richter relationship,Generalized Poisson Regression Model,Generalized Negative Binomial Regression Model,dispersion parameter

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