Deficit Irrigation. I: Analytical Framework
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 3
Abstract
The economics of deficit irrigation are examined. The concepts developed in the heuristic discussion are developed into a set of rigorous mathematical expressions for determination of optimum water use under deficit irrigation. These expressions also can be used to estimate the range of water use within which deficit irrigation would be more profitable than full irrigation. The expressions are completely general in the sense that they can be used with any crop production function and cost function that the analyst chooses. The general expressions are used to derive a set of specific expressions for a particular case study involving a quadratic production function and linear cost function.
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References
1.
Arkin, G. F., and Taylor, H. M. (1981). “Modifying the root environment to reduce crop stress.” ASAE Monograph, 4, Amer. Soc. of Agric. Engrs., St. Joseph, Mich.
2.
Barrett, J. W. H., and Skogerboe, G. V. (1980). “Crop production functions and the allocation and use of irrigation water.” Agric. Water Mgmt., 3(1), 53–64.
3.
Canel, R. Q., et al. (1980). “Effects of waterlogging at different stages of development on the growth and yield of winter wheat.” J. Sci. Food Agric., 31(2), 117–132.
4.
Doorenbos, J., and Kassam, A. H. (1979). “Yield response to water.” FAO Irrig. and Drain. Paper, 33, Food and Agric. Org., United Nations, Rome, Italy.
5.
English, M. J. (1981). “The uncertainty of crop models in irrigation optimization.” Trans. ASAE, 24(4), 917–928.
6.
English, M. J., and Orlob, G. T. (1978). “Decision theory applications and irrigation optimization.” California Water Resour. Ctr. Contribution, 174, Univ. of California, Davis, Calif., Sep.
7.
English, M. J., and Nuss, G. S. (1982). “Designing for deficit irrigation.” J. Irrig. and Drain. Engrg., ASCE, 108(2), 91–106.
8.
English, M. J., Taylor, A. R., and John, P. (1986). “Evaluating sprinkler system performance.” New Zealand J. Agric. Sci., 20(1), 32–38.
9.
Grimes, D. W., Dickens, W. L., and Anderson, W. D. (1969). Agronomy J., 61(5), 773–776.
10.
Hanks, R. J. (1974). “Model for predicting yield as influenced by water use.” Agronomy J., 66(5), 660–665.
11.
Hanks, R. J., and Hill, R. W. (1980). Modelling crop response to irrigation in relation to soils, climate, and salinity. Int. Irrig. Info. Ctr., Bet Dagan, Israel.
12.
Hargreaves, G. H., and Samani, Z. A. (1984). “Economic considerations of deficit irrigation.” J. Irrig. and Drain. Engrg., ASCE, 110(4), 343–358.
13.
Hart, W. E., Norum, D. I., and Peri, G. (1980). “Optimal seasonal irrigation application analysis.” J. Irrig. and Drain. Div., ASCE, 106(3), 221–235.
14.
James, L. D., and Lee, R. R. (1971). Economics of water resources planning. McGraw‐Hill, New York, N.Y.
15.
Kumar, R., and Khepar, S. D. (1980). “Decision models for optimum cropping patterns on irrigations based on crop water production functions.” Agric. Water Mgmt., 3(1), 65–76.
16.
Norum, D. I., Peri, G., and Hart, W. E. (1979). “Application of system optimal depth concept.” J. Irrig. and Drain. Div., ASCE, 105(4), 357–367.
17.
“Partial irrigation feasibility study and demonstration project.” (1987). Phase IV Report, Bonneville Power Admin., Div. of Resour. Engrg., Branch of Conservation Engrg., Portland, Oreg., Sep.
18.
Peri, G., Hart, W. E., and Norum, D. I. (1979). “Optimal irrigation depths—A method of analysis.” J. Irrig. and Drain. Div., ASCE, 105(4), 341–355.
19.
Rawlins, S. L., and Raats, P. A. C. (1975). “Prospects for high frequency irrigation.” Science, 188, May, 604–610.
20.
Russo, D. (1983). “Crop yield—Irrigation relationships in a gypsiferous‐sodic soil.” Agronomy J., 75(3), 427–434.
21.
Sharma, P. N., and Neto, F. B. A. (1986). “Water production function of sorghum for northeast Brazil.” Agric. Water Mgmt., 11(2), 169–180.
22.
Shearer, M. N. (1978). “Comparative efficiency of irrigation systems.” Proc. Annual Tech. Conf., Irrig. Assoc. Feb., 183–188.
23.
Solomon, K. H. (1985). “Typical crop water production functions.” Paper No. 85‐2596, Winter Meeting, Amer. Soc. of Agric. Engrs., Chicago, III., 17–20.
24.
Stegman, E. C., Musick, J. T., and Stewart, J. I. (1980). “Irrigation water management.” Design and Operation of Farm Irrigation Systems, M. E. Jensen, ed., ASAE Monograph No. 3. Amer. Soc. of Agric. Engrs., St. Joseph, Mich.
25.
Stewart, J. I., and Hagan, R. M. (1969). “Predicting effects of water shortage on crop yield.” J. Irrig. and Drain. Div., ASCE, 95(10), 91–104.
26.
Stewart, J. I., and Hagan, R. M. (1973). “Functions to predict effects of crop water deficits.” J. Irrig. and Drain. Div., ASCE, 99(4), 421–439.
Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 116 • Issue 3 • May 1990
Pages: 399 - 412
Copyright
Copyright © 1990 ASCE.
History
Published online: May 1, 1990
Published in print: May 1990
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