The Estimation of Rainfall Distribution for Emergency Response to Chernobyl Type Incidents Utilizing Multidimensional Smoothing Splines
James G. Wendelberger
Journal of Geographic Information and Decision Analysis, Vol. 2, No. 2, pp. 182-193, 1998
Multidimensional smoothing splines are utilized to estimate the rainfall distribution from 100 rainfall measurements at irregularly spaced locations and from the corresponding elevation field on a fine grid. An interpolating spline of the elevation field is utilized to determine the elevation and the change in elevation at the irregularly spaced rainfall measurement locations. A smoothing spline is utilized to determine a rainfall surface utilizing the two dimensions of location, the elevation and the two dimensions of change in elevation as five independent variables and the rainfall measurement as the dependent variable. Predictions of rainfall are computed at 367 irregularly spaced locations. The predictions are compared to the measured rainfall at the 367 locations.