Da. Rhoades et al., ON THE HANDLING OF UNCERTAINTIES IN ESTIMATING THE HAZARD OF RUPTURE ON A FAULT SEGMENT, J GEO R-SOL, 99(B7), 1994, pp. 13701-13712
Uncertainties in data and parameter values have often been ignored in
hazard estimates based on historic and prehistoric records of rupture
on fault segments. A mixture of distributions approach is appropriate
to handle uncertainties in parameters of recurrence time distributions
estimated from the geological and historical earthquake record of a f
ault segment, and a mixture of hazards approach is appropriate for dat
a uncertainties and for uncertainties in parameters estimated from a s
et of similar faults. The former approach admits updating of the distr
ibutions for uncertainty as time passes. The aim is to present the haz
ard as a single value which takes account of both data and parameter u
ncertainties, conditional only on modeling assumptions. The proposed m
ethods axe described in detail for the exponential and lognormal recur
rence time models for fault-rupturing earthquakes and applied, by way
of illustration, to selected fault segments, namely, the Mojave segmen
t of the San Andreas fault, California, and the Wellington-Hutt Valley
segment of the Wellington fault, New Zealand.