A methodology for the spatial representation of the parameters of stoc
hastic weather models is presented. This method provides an efficient
method for the space-time modelling of weather data as inputs to other
agricultural, ecological and hydrological models used in weather impa
ct assessments. The seasonal variation of the parameters of a point ra
infall model, the Rectangular Pulses Poisson model, is represented by
a quadratic polynomial spline. The coefficients of this representation
are then spatially interpolated as functions of position as well as p
osition and elevation. Thin plate smoothing splines are used in the in
terpolation procedure, and the methodology is tested with data from 10
2 stations in the Darling Downs region of South-East Queensland, Austr
alia. Further testing with an independent data set demonstrates the ad
equacy of the technique in preserving historical statistics from the c
oefficients of the interpolated surfaces. A useful extension of this m
ethodology to provide stochastic weather data for future climate scena
rios is also discussed. (C) 1997 Academic Press Limited