Optimization Analysis of Deficit Irrigation Systems
Publication: Journal of Irrigation and Drainage Engineering
Volume 120, Issue 3
Abstract
In the present paper the use of mathematical programming theory is proposed to define optimization criteria for the deficit irrigation of an area. A first application, which was carried out on a sample farm in the Upper Tiber Valley (Central Italy), gave significant results. By using a multiplicative Stewart's formula, it was possible to determine, for various crops, the relationships between crop yield and applied water, which depend on the deterministic component of the process of water exchange soil‐crop‐atmosphere. The stochastic component of the same process is defined by the hypothesis that the functions are variable from year to year. These relationships were introduced as a constraint in a mathematical programming framework, with the aim of optimizing, in economic terms, the application of available irrigation water taking into account the possibility of varying the crop pattern. Finally, since the optimal solution can be found only on an annual basis, due to the stochastic component of the process, an attempt was made to define a method for determining a single, constant and optimal solution.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Benfratello, G. (1980). “Contributo allo studio del bilancio idrologico del terreno agrario.” L'Acqua, Rome, Italy, 24 (in Italian).
2.
Doorembos, J., and Kassam, A. H. (1981). “Yield response to water.” Irrig. and Drain. Paper 33, F.A.O., Rome, Italy.
3.
Doorembos, J., and Pruitt, W. O. (1984). “Crop water requirements.” Irrig. and Drain. Paper 24, F.A.O., Rome, Italy.
4.
English, M. J., and Nuss, G. S. (1982). “Designing for deficit irrigation.” J. Irrig. and Drain. Engrg. Div., ASCE, 108(2), 91–106.
5.
English, M. J. (1990). “Deficit irrigation. I: Analytical framework.” J. Irrig. and Drain. Engrg., ASCE, 116(3), 399–412.
6.
Hall, W. A., and Butcher, W. (1968). “Optimal timing of irrigation.” J. Irrig. and Drain. Engrg., ASCE, 94(2), 267–275.
7.
Hanks, R. J. (1974). “Model for predicting plant yield as influenced by water use.” Agronomy J., 66, 660–665.
8.
Hargraves, G. H., and Samani, Z. A. (1984). “Economic consideration of deficit irrigation.” J. Irrig. and Drain. Engrg., ASCE, 110(4), 343–358.
9.
Hart, W. E., Norum, D. I., and Peri, G. (1980). “Optimal seasonal irrigation application analysis.” J. Irrig. and Drain. Engrg., ASCE, 106(3), 221–235.
10.
Hiler, E. A., and Clark, R. N. (1971). “Stress day index to characterise effects of water stress and crop yields.” Trans. ASAE, 14, 757–761.
11.
Jensen, M. E. (1968). “Water consumption by agricultural plants.” Water deficits and plant growth; Vol. 2, T. Kozlowski, ed., Academic Press, New York, N.Y., 1–22.
12.
Mannocchi, F., and Mecarelli, P. (1988). “Un modello matematico per valutare la produzione agricola regionale in regime irriguo.” Proc., IV Nat. Congress of A.I.G.R., Alghero, Italy, 192–197 (in Italian).
13.
Mannocchi, F., and Mecarelli, P. (1989). “Un problema di programmazione matematica per la pianificazione di sistemi irrigui.” Irrigazione e Drenaggio, Bologna, Italy, 26(4), 196–201 (in Italian).
14.
Melisenda, I. (1967). “Possibilite de deduction des besoins en eau d'irrigation à partir de la loi de dessechement du sol.” La Houille Blanche, Paris, France, 8, 829–839 (in French).
15.
Minhas, B. S., Parikh, K. S., and Srinivasan, T. N. (1974). “Towards the structure of a production function for wheat yields with dated inputs of irrigation water.” Water Resour. Res., 10, 383–393.
16.
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., 13, 25–32.
17.
Solomon, K. H. (1985). “Typical crop water production functions.” Paper No. 85‐2596, ASAE, Chicago, Ill.
18.
Stewart, J. I., and Haggan, R. M. (1973). “Functions to predict effects of crop water deficits.” J. Irrig. and Drain. Engrg. Div., ASCE, 99(4), 421–439.
19.
Sudar, R. A., Saxton, K. E., and Spomer, R. G. (1981). “A predictive model of water stress in corn and soybean.” Trans. ASAE, 24, 97–102.
20.
Thornthwaite, C. W., and Mather, J. R. (1955). “The water balance.” Climatology, 8(1).
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 120 • Issue 3 • May 1994
Pages: 484 - 503
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Oct 27, 1992
Published online: May 1, 1994
Published in print: May 1994
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.