Da. Rhoades et Ff. Evison, LONG-RANGE EARTHQUAKE FORECASTING BASED ON A SINGLE PREDICTOR WITH CLUSTERING, Geophysical journal international, 113(2), 1993, pp. 371-381
The methodology for formulating and testing a predictive hypothesis of
earthquake occurrence based on a single predictor (Rhoades & Evison 1
979) has been extended to allow for a cluster of similar precursors be
ing related to a subsequent cluster of mainshock events. The hazard is
conveniently represented by conditional intensity, from which probabi
lity is readily derived. and which can be updated as new information b
ecomes available. This method has been applied to the generalized swar
m hypothesis, tests of which are in progress in New Zealand and Japan.
Probability distributions for the mainshock origins are estimated fro
m magnitude-weighted locations and origin times of all the swarm earth
quakes in a cluster, and from the three largest magnitudes. Hazard ref
inement relative to the Poisson estimate is obtained by combining the
contributions for principal and secondary mainshocks. As time passes,
the hazard is adjusted for further swarm occurrences, and subsequently
for the occurrence or non-occurrence of mainshock events. The applica
tion of these methods is illustrated by an example from Japan, using c
ombined regression data.