Irrigation Planning by Multilevel Optimization
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 2
Abstract
The complex problem of irrigation management in a large heterogeneous basin is solved by using a multilevel optimization technique. The real problem consists of determining the optimal cropping patterns in various subareas of the basin, the optimal design capacities of irrigation facilities including both the surface and ground water resources, and the optimal water allocation policies for the conjunctive use. The objective of such a management is to obtain a high level of economic efficiency in the irrigation development and water use system within a hydrologically feasible policy domain. Various alternative activities, such as surface water diversion and pumpage, ground water withdrawal and recharge, and alternative future operational scenarios, have to be analyzed in an integrated way. The solution strategy is based on the physical decomposition of a large system into interconnected subsystems. A computationally efficient algorithm that can be implemented in a microcomputer is developed to solve the multilevel linear programming model by an iterative procedure. A case study is presented to illustrate the application in a realistic situation.
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References
1.
Bosch, D. J., Eidman, V. R., and Oosthuizen, L. K. (1987). “A review of methods for evaluating the economic efficiency of irrigation.” Agric. Water Mgmt., 12(3), 231–245.
2.
Burt, O. R. (1967). “Temporal allocation of ground water.” Water Resour. Res., 3(1), 45–56.
3.
Chaudhry, M. T., et al. (1974). “Optimal conjunctive use model for Indus Basin.” J. Hydr. Div., ASCE, 100(5), 667–687.
4.
Chavez‐Morales, J., Mariño, M. A., and Holzapfel, E. A. (1987). “Planning model of irrigation district.” J. Irrig. and Drain. Engrg., ASCE, 113(4), 549–564.
5.
Cochran, G. F., and Butcher, W. S. (1970). “Dynamic programming for optimum conjunctive use.” Water Resour. Bull., 6(3), 311–322.
6.
Coskunoglu, O., and Shetty, C. M. (1981). “Optimal stream‐aquifer development.” J. Water Resour. Plan. and Mgmt. Div., ASCE, 107(2), 513–531.
7.
Dantzig, G. B., and Wolfe, P. (1960). “Decomposition principle for linear programs.” Operations Res., 8(1), 101–111.
8.
Das Gupta, A., and Paudyal, G. N. (1987). “Integrated water resources development planning in the Tinao River Basin in Nepal.” Proc., Int. Symp. on Water for the Future, Rome, Italy, Balkema Press, 597–606.
9.
Doorenbos, J., and Pruitt, W. O. (1977). “Guidelines for predicting cropwater requirements.” FAO Irr. and Drain. Paper 24, Food and Agric. Organization of the United Nations, Rome, Italy.
10.
Dudley, N. J., Howell, D. T., and Musgrave, W. P. (1971). “Irrigation planning 2. Choosing optimal acreages within an irrigation season.” Water Resour. Res., 7(5), 1051–1063.
11.
Dudley, N. J., Howell, D. T., and Musgrave, W. F. (1972). “Irrigation planning 3. The best size of irrigation area for a reservoir.” Water Resour. Res., 8(1), 7–17.
12.
Geoffrion, A. M. (1970). “Primal resource‐directive approaches for optimizing nonlinear decomposable systems.” Operations Res., 18(3), 375–403.
13.
Haimes, Y. Y., and Dreizin, Y. C. (1977). “Management of ground water and surface water via decomposition.” Water Resour. Res., 13(1), 69–11.
14.
Khan, I. A. (1982). “A model for managing irrigated agriculture.” Water Resour. Bull., 18(10), 81–87.
15.
Lasdon, L. S. (1970). Optimization theory for large systems. McMillan Publishing Co., New York, N.Y.
16.
Loftis, J. C., and Houghtalen, R. J. (1987). “Optimizing temporal water allocation by irrigation ditch companies.” Trans. ASAE, 30(4), 1075–1082.
17.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). “Irrigation planning and operation.” Water Resources Systems Planning and Analysis, Prentice‐Hall, Englewood Cliffs, N.J.
18.
Maji, C. C., and Heady, E. O. (1980). “Optimal reservoir management and crop planning under deterministic and stochastic inflows.” Water Resour. Bull., 16(3), 438–443.
19.
Matanga, G. B., and Mariño, M. A. (1979). “Irrigation planning, 1. Cropping pattern.” Water Resour. Res., 15(3), 672–678.
20.
Paudyal, G. N. (1986). “Integrated surface and ground water development and management modeling: Tinao River Basin, Nepal.” Thesis presented to the Asian Institute of Technology, at Bangkok, Thailand, in partial fulfillment of the requirements for the degree of Doctor of Engineering.
21.
Rogers, P., and Smith, D. V. (1970). “The integrated use of ground and surface water in irrigation project planning.” Amer. J. Agric. Econ., 52(1), 13–24.
22.
Smith, D. V. (1973). “Systems analysis and irrigation planning.” J. Irrig. and Drain. Div., ASCE, 99(1), 89–107.
23.
'Study to establish irrigation subsector policy priorities.” (1983). Main Report and Appendices I and II, Water and Energy Comission, Kathmandu, Nepal.
24.
Yaron, D., and Dinar, A. (1982). “Optimal allocation of farm irrigation water during peak seasons.” Amer. J. Agric. Econ., 64(4), 681–689.
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Copyright © 1990 ASCE.
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Published online: Mar 1, 1990
Published in print: Mar 1990
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