applying semi-markov models for forecasting the triple dimensions of next earthquake occurrences: with case study in iran area

in this paper semi-markov models are used to forecast the triple dimensions of next earthquake occurrences. each earthquake can be investigated in three dimensions including temporal, spatial and magnitude. semi-markov models can be used for earthquake forecasting in each arbitrary area and each area can be divided into several zones. in semi-markov models each zone can be considered as a state of proposed semi-markov model. at first proposed semi-markov model is explained to forecast the three mentioned dimensions of next earthquake occurrences. next, a zoning method is introduced and several algorithms for the validation of the proposed method are also described to obtain the errors of this method.