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By Johannes Bisschop, Alexander Meeraus (auth.), Jean-Louis Goffin, Jean-Marc Rousseau (eds.)

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As the flow of water can be controlled and diverted at many points in the surface water system, it is necessary to devise efficient water allocation schemes that will optimize some measure of regional welfare. This cannot be done without considering the use of water on individual farms. The Indus Basin Model Family was designed to relate agricultural development to the combined use and management of ground and surface water by incorporating these individual components into a unified mathematical framework.

Received 24 January I980 Revised manuscript received 26 May 1981 A basic and verbal description of the Indus Basin Model is presented. The model is an example of a strategic planning exercise designed to aid in the specification of surface and ground water related policies in Pakistan. It is also a special application of the two-level linear programming problem. The concept of multi-level programming is introduced, and the general two-level linear program is described as a non-convex problem. It is shown, however, that linear programming techniques can be used in the particular application of the Indus Basin Model.

In some areas the water table is already quite near the surface, thereby creating problems of waterlogging and salinity. Such conditions reduce the productivity of the land, or even take it out of production. On the other hand, too many tubewells in a region may result in a mining of the aquifer, and a possible influx of saline water into a sweet water aquifer. Even under the assumption that ground and surface water can be properly managed so as to avoid disastrous future consequences, there is still the basic problem of water allocation.

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