Model for Farm Irrigation in Humid Areas

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Abstract
A multicrop, multisoil, farm irrigation system is broken down into a number of discrete units, and then analyzed by means of a two-level optimization approach. At the first level of optimization dynamic programming is used to determine, on a per acre basis, the optimal irrigation policy, the maximum expected profit, and the expected monthly irrigation labor and water requirements for each crop-soil combination and each level of irrigation development. At the next level of optimization linear programming is used to determine the irrigation system, the level of irrigation development, and the crop mix, which maximize the expected farm profit without violating any of the farm resource limitations. The model assumes that water supply is the important variable which controls plant growth, and uses a production function which is based on the concept of stress days. To show how the procedure may be set up on a computer, a hypothetical two-crop, two-soil, farm irrigation system is analyzed considering several resource combinations.

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