Nonlinear Programming Model for Extensive Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 2
Abstract
In regions where irrigation water supply is less than the required amount, extensive but deficit irrigation becomes unavoidable, unless the irrigated area can be limited to ensure full supply. When reliable dated crop-water response (DCWR) functions are available, a scientific planning of deficit irrigation schedules can be undertaken. This paper presents the formulation of a nonlinear programming (NLP) problem for identifying optimal cropping pattern as well as optimal deficit irrigation schedule along with its application to a minor irrigation system. The model indicates, for the case studied, that an increase in the cropped area by approximately 50 is possible over that underintensive irrigation approach. In terms of the net monetary return from the system, it means an increase of approximately 20. The adoption of extensive irrigation policy in such a setting is seen to be desirable.
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References
1.
Bowen, R. L., and Yound, R. A.(1985). “Financial and irrigation net benefit functions for Egypt's Northern Delta.”Water Resour. Res., 21(9), 1329–1335.
2.
Bras, R. L., and Cordova, R. J.(1981). “Inter seasonal water allocation in deficit irrigation.”Water Resour. Res., 17(4), 866–874.
3.
Chavez-Morales, J., Marino, M. A., and Holzapfel, E. A.(1987). “Planning model of irrigation district.”J. Irrig. and Drain. Engrg., ASCE, 113(4), 549–564.
4.
Dariane, A. B., and Hughes, T. C.(1991). “Application of crop yield functions in reservoir operation.”Water Resour. Bull., 27(4), 649–656.
5.
De Datta, S. K. (1981). Principles and practices of rice production. John Wiley & Sons, Inc., New York, N.Y.
6.
Doorenbos, J., and Kassam, A. H. (1979). “Yield response to water.”Irrigation and Drainage Paper No. 33, Food and Agricultural Organization of the United Nations, Rome, Italy.
7.
Doorenbos, J., and Pruitt, W. O. (1984). “Crop water requirements.”Irrigation and Drainage Paper No. 24, Food and Agricultural Organization of the United Nations, Rome, Italy.
8.
Dudley, N. J.(1988). “A single decision-maker approach to irrigation reservoir and farm management decision making.”Water Resour. Res., 24(5), 633–640.
9.
Hargreaves, G. H., Samani, Z. A., and Zuniga, E.(1989). “Modelling yields from rainfall and supplemental irrigation.”J. Irrig. and Drain. Engrg., ASCE, 115(2), 239–247.
10.
Hiessl, H., and Plate, E. J.(1990). “A Heuristic closed-loop controller for water distribution in complex irrigation systems.”Water Resour. Res., 26(7), 1323–1333.
11.
Jensen, M. E. (1968). “Water consumption by agricultural plants.”Water deficits and plant growth, Vol. II, T. T. Kozlowski, ed., Academic Press, Inc., New York, N.Y., 1–22.
12.
Loucks, D. P., Stedinger, J. R., and Haith, A. D. (1981). Water resources systems planning and analysis. Prentice-Hall, Inc., Englewood Cliffs, N.J.
13.
Mayya, S. G., and Prasad, R.(1989). “Systems analysis of tank-irrigation: I. Crop staggering.”J. Irrig. and Drain. Engrg., ASCE, 115(3), 384–404.
14.
Nagaraju Kumar, C. (1994). “Optimal extensive irrigation in a tank-fed system,” PhD thesis, Indian Institute of Technology, Madras, India.
15.
Nagaraju Kumar, C., and Elango, K. (1993a). “A dated crop water-response function for paddy.”Proc., Workshop on Integrated Devel. of Irrig. Agr. (South Zone), Central Board of Irrigation and Power, New Delhi, India, 312–319.
16.
Nagaraju Kumar, C., and Elango, K. (1993b). “Review of models of irrigation systems facing water-scarcity.” 2nd Nat. Symp. on Irrig. Mgmt., Water and Land Mgmt. Training and Res. Inst., Hyderabad, India, I.3.1–11.
17.
Pierre, D. A., and Lowe, M. J. (1975). Mathematical programming via augmented Lagrangians: an introduction with computer programs. Addison-Wesley Publishing Co., Reading, Mass.
18.
Prasad, R., and Mayya, S. G.(1989). “Systems analysis of tank-irrigation: II. Delayed start and water deficit.”J. Irrig. and Drain. Engrg., ASCE, 115(3), 406–420.
19.
Rao, N. H., Sarma, P. B. S., and Chander, S.(1988). “A simple dated water-production function for use in irrigated agriculture.”Agric. Water Mgmt., Amsterdam, The Netherlands, 13, 25–32.
20.
Rao, N. H., Sarma, P. B. S., and Chander, S.(1990). “Optimal multicrop allocation of seasonal and inter seasonal irrigation water.”Water Resour. Res., 26(4), 551–559.
21.
Sinha, S. K., Aggarwal, P. K., and Khanna-Chopra, R. (1985). “Irrigation in India: a physiological and phenological approach to water management in grain crops.”Advances in irrigation, Vol. 3, D. Hillel, ed., Academic Press, Inc., London, England, 129–212.
22.
Vedula, S., and Mujumdar, P. P.(1992). “Optimal reservoir operation for irrigation of multiple crops.”Water Resour. Res., 28(1), 1–9.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 124 • Issue 2 • March 1998
Pages: 123 - 126
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Mar 1, 1998
Published in print: Mar 1998
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