The interpretation of a cloud of earthquake hypocenters in terms of ca
usative structures is not a simple task. Locations are subject to unce
rtainties, which will not be the same for every earthquake. The data s
hould therefore not be interpreted simply by inspection, which is diff
icult in the case of three-dimensional data anyway. Instead, we propos
e using the location uncertainties as a guide in processing the data.
Earthquake locations are moved inside their uncertainty or confidence
ellipsoids until a simplified picture of the earthquake cloud is obtai
ned, which can then be interpreted in terms of some simplified structu
re such as faults. The aim of the approach is to give the simplest pos
sible structure that is consistent with all the location and confidenc
e ellipsoid data. The method is applied to three synthetic sets of dat
a. These illustrate the potential and limitations of the method. Appli
cation to a real earthquake data set from Rabaul Caldera in Papua New
Guinea gives an image of the caldera ring fault that suggests departur
es from the simple ring-fault structure previously assumed. Sensitivit
y analysis on the Rabaul data shows that the method is not unduly sens
itive to the assumptions that have to be made in applying it.