Although computer models are often used for forecasting future outcomes of
complex systems, the uncertainties in such forecasts are not usually treate
d formally. We describe a general Bayesian approach for using a computer mo
del or simulator of a complex system to forecast system outcomes. The appro
ach is based on constructing beliefs derived from a combination of expert j
udgments and experiments on the computer model. These beliefs, which are sy
stematically updated as we make runs of the computer model, are used for ei
ther Bayesian or Bayes linear forecasting for the system. Issues of design
and diagnostics are described in the context of forecasting. The methodolog
y is applied to forecasting for an active hydrocarbon reservoir.