Case Studies
Mar 4, 2014

Optimal Allocation of Water Resources Model for Different Growth Stages of Crops under Uncertainty

Publication: Journal of Irrigation and Drainage Engineering
Volume 140, Issue 6

Abstract

In this study, an integrated interval nonlinear programming model based on Jensen’s water production function is proposed for the optimal allocation of water resources under uncertainty in agricultural irrigation. The model provides an effective approach to solve the problems for crop irrigation schedules and to successfully deal with the inconsistencies in crop water requirements and rain capacity. The model can allocate the limited water to different growth stages of crops based on Jensen’s crop water production function, which further improves water use efficiency. The method provides the means to promote the development of water-saving irrigation and further improves the economic value of water resources. Two major advantages make the model unique in comparison to the other optimization techniques. First, it can solve the uncertainties of the agricultural water resources system, and the results are given in the form of intervals, which can provide more leeway for decision makers. Second, the rainfall was divided into 18 stages with 10 days per stage in this paper (each of the crop growth stages were matched with different stages); then, the limited water resources were optimally allocated to different crops in different growth stages based on Jensen’s model. The model not only increases the output per unit of water but also improves water use efficiency. In this paper, the Yongchang irrigation district in Wuwei was taken as an example to demonstrate the feasibility of the proposed model. The results are helpful for water resources managers in making decisions about water allocation and striking a balance between environmental and economic objectives.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (No. 41271536, 91125017, and 51321001).

References

Benli, B., and Kodal, S. (2003). “A non-linear model for farm optimization with adequate and limited water supplies: Application to the South-east Anatolian Project (GAP) Region.” Agri. Water Manage., 62(3), 187–203.
Cardwell, H., and Ellis, H. (1996). “Model uncertainty and model aggregation in environmental management.” Appl. Math. Model., 20(2), 121–134.
Esfandiari, M., and Maheshwari, B. L. (1997). “Application of the optimization method for estimating infiltration characteristics in furrow irrigation and its comparison with other methods.” Agri. Water Manage., 34(2), 169–185.
Evans, E. M., Lee, D. R., and Boisvert, R. N. (2003). “Achieving efficiency and equity in irrigation management: An optimization model of the El Angel watershed, Carchi, Ecuador.” Agri. Syst., 77(1), 1–22.
Glasnovic, Z., and Margeta, J. (2007). “A model for optimal sizing of photovoltaic irrigation water pumping systems.” Solar Energy, 81(7), 904–916.
Hales, A. L., and Burton, M. A. (2000). “Using the IRMOS model for diagnostic analysis and performance enhancement of the Rio Cobre Irrigation Scheme, Jamaica.” Agri. Water Manage., 45(2), 185–202.
Juan, J. A. D., Tarjuelo, J. M., Ortega, J. F., Valiente, M., and Carrión, P. (1999). “Management of water consumption in agriculture: A model for the economic optimization of water use: Application to a sub-humid area.” Agri. Water Manage., 40(2–3), 303–313.
Juan, J. A. D., Tarjuelo, J. M., Valiente, M., and García, P. (1996). “Model for optimal cropping patterns within the farm based on crop water production functions and irrigation uniformity I: Development of a decision model.” Agri. Water Manage., 31(1–2), 115–143.
Li, Y. P., Huang, G. H., and Nie, S. L. (2010). “Planning water resources management systems using a fuzzy-boundary interval-stochastic programming method.” Adv. Water Resour., 33(9), 1105–1117.
Li, Y. P., Huang, G. H., Nie, S. L., and Liu, L. (2008). “Inexact multistage stochastic integer programming for water resources management under uncertainty.” J. Environ. Manage., 88(1), 93–107.
Lu, H. W., Huang, G. H., and He, L. (2010). “Development of an interval-valued fuzzy linear-programming method based on infinite α-cuts for water resources management.” Environ. Model. Software, 25(3), 354–361.
Mei, H., Yang, D., and Liuyuan, X. (2010). “Research advances on water resources optimal distribution.” Procedia Environ. Sci., 203(2), 1912–1918.
Montesinos, P., Camacho, E., and Alvarez, S. (2001). “Seasonal furrow irrigation model with genetic algorithms (OPTIMEC).” Agri. Water Manage., 52(1), 1–16.
Playan, E., and Mateos, L. (2006). “Modernization and optimization of irrigation systems to increase water productivity.” Agri. Water Manage. 80(1–3), 100–116.
Raghuwanshi, N. S., and Wallender, W. W. (1998). “Optimization of furrow irrigation schedules, and net return to water.” Agri. Water Manage., 35(3), 209–226.
Reca, J., Roldán, J., Alcaide, M., López, R., and Camacho, E. (2001a). “Optimisation model for water allocation in deficit irrigation systems: I. Description of the model.” Agri. Water Manage., 48(2), 103–116.
Reca, J., Roldán, J., Alcaide, M., López, R., and Camacho, E. (2001b). “Optimisation model for water allocation in deficit irrigation systems: II. Application to the Bémbezar irrigation system.” Agri. Water Manage., 48(2), 117–132.
Sadeh, A., and Ravina, I. (2000). “Relationships between yield and irrigation with low-quality water—A system approach.” Agri. Syst., 64(2), 99–113.
Sethi, L. N., Panda, S. N., and Nayak, M. K. (2006). “Optimal crop planning and water resources allocation in a coastal groundwater basin, Orissa, India.” Agri. Water Manage., 83(3), 209–220.
Shang, G. Z., Shao, M., Horton, R., Lei, T., Qin, L., and Ma, J. (2002). “A model for regional optimal allocation of irrigation water resources under deficit irrigation and its applications.” Agri. Water Manage., 52(2), 139–154.
Tran, L. D., Schilizzi, S., Chalak, M., and Kingwell, R. (2011). “Optimizing competitive uses of water for irrigation and fisheries.” Agri. Water Manage., 101(1), 42–51.
Yapo, P. O., Gupta, H. V., and Sorooshian, S. (1998). “Multi-objective global optimization for hydrologic models.” J. Hydrol., 204(1–4), 83–97.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 140Issue 6June 2014

History

Received: May 8, 2013
Accepted: Dec 30, 2013
Published online: Mar 4, 2014
Published in print: Jun 1, 2014
Discussion open until: Aug 4, 2014

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Authors

Affiliations

Yinhuan Fu
Centre for Agricultural Water Research in China, China Agricultural Univ., Tsinghuadong St. No. 17, Beijing, China 100083; and Hebei Provincial Academy of Water Resources, Shijiazhuang, China 050057.
Mo Li
Centre for Agricultural Water Research in China, China Agricultural Univ., Tsinghuadong St. No. 17, Beijing, China 100083.
Professor, Centre for Agricultural Water Research in China, China Agricultural Univ., Tsinghuadong St. No. 17, Beijing, China 100083 (corresponding author). E-mail: [email protected]

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