Optimal Stochastic Multicrop Seasonal and Intraseasonal Irrigation Control
Publication: Journal of Water Resources Planning and Management
Volume 123, Issue 1
Abstract
Optimal seasonal multicrop irrigation water allocation and optimal stochastic intraseasonal (daily) irrigation scheduling are carried out using a two-stage decomposition approach based on a stochastic dynamic programming methodology. In the first stage the optimal seasonal water and acreage allocation among several crops or fields is defined using deterministic dynamic programming with the objective of maximizing total benefits from all the crops. The optimization is based on seasonal crop production functions. Seasonal crop production functions are obtained using single-crop stochastic dynamic programming, which incorporates the physics of soil moisture depletion and the stochastic properties of precipitation. In the second stage optimal intraseasonal irrigation scheduling is performed using a single-crop stochastic dynamic programming algorithm, conditional on the optimal seasonal water allocation of stage one. Optimal daily irrigation decision functions are obtained as a function of root-zone soil moisture content and the currently available irrigation water. The methodology is applied to a case study characterized by four crops in which both the optimal irrigation applications and the optimal acreage for each crop are determined.
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References
1.
Bras, R. L., and Córdova, J. R.(1981). “Intraseasonal water allocation in deficit irrigation.”Water Resour. Res., 17(4), 866–874.
2.
Brooks, R. H., and Corey, A. T. (1966). “Properties of porous media affecting fluid flow.”J. Irrig. and Drain. Div., ASCE, 92(2).
3.
Córdova, J. R., and Bras, R. L. (1979). “Stochastic control of irrigation systems.”Ralph M. Parsons Tech. Rep. No. 239, Massachusetts Inst. of Technol. (MIT), Cambridge, Mass.
4.
de Lis, B. R., Ponce, I., and Tizio, R. (1963). “Studies on water requirements of horticultural crops. I. Influence of drought at different growth stages of potato on the tuber's yield.”Agronomy J., 377.
5.
Dudley, N. J.(1972). “Irrigation planning. 4. Optimal interseasonal water allocation.”Water Resour. Res., 8(3), 586–594.
6.
Dudley, N. J., Howell, D. T., and Musgrave, W. F.(1971a). “Optimal intraseasonal irrigation water allocation.”Water Resour. Res., 7(4), 770–788.
7.
Dudley, N. J., Howell, D. T., and Musgrave, W. F.(1971b). “Irrigation planning. 2. Choosing optimal acreages within an irrigation season.”Water Resour. Res., 7(5), 1051–1063.
8.
Hexem, R. W., and Heady, E. O. (1978). Water production functions for irrigated agriculture. Iowa State University Press, Ames, Iowa.
9.
Leib, B. G. (1989). “High water table irrigation management for the Alamosa-La Jara delivery system of the San Luis Valley, Colorado,” MS thesis, Dept. of Agric. and Chemical Engrg., Colorado State Univ., Fort Collins, Colo.
10.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. (1981). Water resources systems planning and analysis. Prentice-Hall, Inc., Englewood Cliffs, N.J.
11.
Mannocchi, F., and Mecarelli, P. (1994). “Optimization analysis of deficit irrigation systems.”J. Irrig. and Drain. Engrg., ASCE, 120(3), 1484–1503.
12.
Martin, D. L., Watts, D. G., and Gilley, J. R.(1984). “Model and production function of irrigation management.”J. Irrig. and Drain. Engrg., ASCE, 110(2), 149–162.
13.
Matanga, G. B., and Mariño, M. A.(1979). “Irrigation planning, 1 cropping pattern; and 2, water allocation for leaching and irrigation purposes.”Water Resour. Res., 15(3), 672–683.
14.
Ramírez, J. A., and Bras, R. L. (1982). “Optimal irrigation control using stochastic cluster point process for rainfall modeling and forecasting.”Ralph M. Parsons Tech. Rep. No. 275, Dept. of Civ. Engrg., Massachusetts Inst. of Technol. (MIT), Cambridge, Mass.
15.
Ramírez, J. A., and Bras, R. L.(1985). “Conditional distribution of Neyman-Scott models for storm arrivals and their use in irrigation scheduling.”Water Resour. Res., 21(3), 317–330.
16.
Ramírez, J. A., and Finnerty, B.(1996a). “Precipitation and water table effects on agricultural production and economics.”J. Irrig. and Drain. Engrg., ASCE, 122(3), 155–163.
17.
Ramírez, J. A., and Finnerty, B.(1996b). “CO2 and temperature effects on evapotranspiration and irrigated agriculture.”J. Irrig. and Drain. Engrg., ASCE, 122(3), 164–171.
18.
Rao, N. H., Sarma, P. B., and Chander, S.(1990). “Optimal multicrop allocation of seasonal and intraseasonal irrigation water.”Water Resour. Res., 26(4), 551–559.
19.
Salter, P. J., and Goode, J. E. (1967). “Crop response to water at different stages of growth.”Res. Rev. 2, Commonwealth Agric. Bureau, Farnham Royal, Bucks, England, 93–99.
20.
Stewart, J. I., Misra, R. D., Pruitt, W. O., and Hagan, R. M. (1974). “Irrigating corn and grain sorghum with limited water.”Paper No. 74-2024, Am. Soc. of Agric. Engrs. (ASAE), St. Joseph, Mich.
21.
Struchtemeyer, R. A.(1960). “Efficiency in the use of water by potatoes.”Am. Potato J., 38, 22–24.
22.
Sunantara, J. D., and Ramírez, J. A.(1993). “Stochastic dynamic programming for optimization of multicrop allocation of seasonal and intraseasonal irrigation water: linearized solution.”Hydro. Days Publ., 13, 351–362.
23.
Troolen, T. P. (1988). “Leaf area measurement and simulation for use in a potato growth model for irrigation scheduling,” PhD thesis, Dept. of Agric. and Chemical Engrg., Colorado State Univ., Fort Collins, Colo.
24.
Yaron, D.(1971). “Estimation and use of the water production function in crops.”J. Irrig. and Drain. Div., ASCE, 97(2), 291–303.
25.
Yaron, D., and Dinar, A.(1982). “Optimal allocations of water on a farm during peak season.”Am. J. Agr. Economic, 64, 681–689.
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Published In
Journal of Water Resources Planning and Management
Volume 123 • Issue 1 • January 1997
Pages: 39 - 48
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jan 1, 1997
Published in print: Jan 1997
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