A PASCAL computer program, named SERFIT, facilitates the identificatio
n of trend model for long-term forecasting and the estimation of model
parameters. Model identification is achieved through the computation
of slope characteristics from mineral data time series. The trend mode
ls generated by the program are: linear, normal, lognormal, and modifi
ed exponentials: simple-modified exponential, logistic, derivative log
istic, Gompertz, and derivative Gompertz. Parameters of the family of
modified exponential models are estimated using Mitscherlich's regress
ion, which is based upon the maximum likelihood method and provides a
probability structure for the models. SERFIT is demonstrated on U.S. p
etroleum production and world copper consumption data.