Mathematical models of(a) rainfall-excess, and (b) runoff are examined in light of appropriate objective functions. A comparison of models reflects on the goodness of one model relative to another. The regions of superiority of one model to another are established which can hopefully serve as a guide in choosing between them.

This report is the last in the sequence of eight on Rainfall-Runoff Modeling. The previous seven reports are:

1. Estimation of mean areal rainfall.
2. A distributed kinematic wave model of watershed surface runoff.
3. Converging overland flow.
4. Estimation of parameters of two mathematical models of surface runoff.
5. A uniformly nonlinear hydrologic cascade model.
6. A statistical analysis of rainfall-runoff relationship.
7. A nonlinear hydrologic cascade.

Project No. 3109-206