A Dynamic Leontief Modeling Approach to Management for Optimal Utilization in Water Resources Systems

A quantitative framework to the problem of management for optimal utilization in water resources systems is developed using a dynamic Leontief modeling approach. The framework is comprised of a supply-demand disequilibrium model which allows for excess demand or supply to exist at any time. A linear control regulator formulation is undertaken in which the weighted difference between the time rate of change of actual water levels and the excess water demand is used as the control instrument. Application to the River Nile system is performed using the presently available data bank information. Several computer experiments illustrate the validity of the modeling approach and its suitability as a planning tool.