Abstract:It is better to forecast the occurrence of an event by using pure-linear extrapolated method if the event is a stationary stochastic process. We are certain that the historical earthquake sequence is frequently non-stationary, but this non-stationary stochastic process can be transferred into stationary one by mathematical processing. We take the sequence of stress variation, that is the cube root of the released energy of an earthquake, 3√E, as seismic sequence.
In this paper, we forecast the seismic events of certain future period based on linear extrapolation of seismic sequences, which are M≥4.0 in Gansu province, M≥4.0 in the northern section of the North-South Seismic Zone and M≥7.0 in mainland China, respectively, using the expression of the reference 1:
gN+1=a1gN+a2gN-1+a3gN-2+…+apgN-P+1
And the result is satisfactory from the point of view of test.