Irrigation Science

, Volume 26, Issue 2, pp 177–190 | Cite as

Evolving strategies for crop planning and operation of irrigation reservoir system using multi-objective differential evolution

  • M. Janga Reddy
  • D. Nagesh KumarEmail author
Original Paper


In this paper multi-objective differential evolution (MODE) approach is proposed for the simultaneous evolution of optimal cropping pattern and operation policies for a multi-crop irrigation reservoir system. In general, farming community wants to maximize total net benefits by irrigating high economic value crops over larger area, which may also include water-intensive crops and longer duration crops. This poses a serious problem under water-scarce conditions and often results in crop failure. Under varying hydrological conditions, the fixed cropping pattern with conventional operating rule curve policies may not yield economically good results. To provide flexible policies, a nonlinear multi-objective optimization model is formulated. To achieve robust performance by handling interdependent relationships among the decision variables of the model, the recent MODE technique is adopted to solve the multi-objective problem. The developed model is applied for ten-daily reservoir operation to a case study in India. The model results suggest that changes in the hydrologic conditions over a season have considerable impact on the cropping pattern and net benefits from the irrigation system. Towards this purpose, the proposed MODE model can be used to evolve different strategies for irrigation planning and reservoir operation policies, and to select the best possible solution appropriate to the forecasted hydrologic condition.


Differential Evolution Pareto Optimal Solution Reservoir Operation Differential Evolution Algorithm Nondominated Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Allen RE, Pereira LS, Raes D, Smith M (1998) Crop evapotranspiration, guidelines for computing crop water requirements. FAO Irrig and Drain Paper 56. Food and Agric Organization of the United Nations, RomeGoogle Scholar
  2. Alvarez JFO, Valero JAJ, Benito JMT, Mata EL (2004) MOPECO: an economic optimization model for irrigation water management. Irrig Sci 23(2):61–75CrossRefGoogle Scholar
  3. Borg H, Grimes DW (1986) Depth development of roots with time—an empirical description. Trans ASAE 29:194–197Google Scholar
  4. Bras RL, Cordova JR (1981) Intra-seasonal water allocation in deficit irrigation. Water Resour Res 17(4):866–874Google Scholar
  5. Cai X, McKinney DC, Lasdon LS (2001) Solving nonlinear water management models using a combined genetic algorithm and linear programming approach. Adv Water Resour 24:667–676CrossRefGoogle Scholar
  6. Deb K (2001) Multi-objective optimization using evolutionary algorithms. Wiley, ChichesterGoogle Scholar
  7. Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6:182–197CrossRefGoogle Scholar
  8. Doorenbos J, Kassam AH (1979) Yield response to water. FAO Irrigation and Drainage Paper No. 33. Food and Agric. Org., RomeGoogle Scholar
  9. Dudley JN, Burt OR (1973) Stochastic reservoir management and system design for irrigation. Water Resour Res 9(3):507–522Google Scholar
  10. Dudley NJ, Howell DT, Musgrave WF (1971) Optimal intraseasonal irrigation water allocation. Water Resour Res 7(4):770–788Google Scholar
  11. Janga Reddy M, Nagesh Kumar D (2006) Optimal reservoir operation using multiobjective evolutionary algorithm. Water Resour Manage 20(6):861–878CrossRefGoogle Scholar
  12. Janga Reddy M, Nagesh Kumar D (2007a) Optimal reservoir operation for irrigation of multiple crops using elitist mutated particle swarm optimization. Hydrolog Sci J 52(4):1–16Google Scholar
  13. Janga Reddy M, Nagesh Kumar D (2007b) Multi-objective differential evolution with application to reservoir system optimization. J Comp Civil Eng ASCE 21(2):136–146CrossRefGoogle Scholar
  14. Kuo SF, Liu CW (2003) Simulation and optimization model for irrigation planning and management. Hydrol Process 17(15):3141–3159CrossRefGoogle Scholar
  15. Nagesh Kumar D, Raju KS, Ashok B (2006) Optimal reservoir operation for irrigation of multiple crops using genetic algorithms. J Irrig Drain Eng ASCE 132(2):123–129CrossRefGoogle Scholar
  16. Oliveira R, Loucks DP (1997) Operating rules for multireservoir systems. Water Resour Res 33(4):839–852CrossRefGoogle Scholar
  17. Onwubolu G, Davendra D (2006) Scheduling flow shops using differential evolution algorithm. Europ J Oper Res 171(2):674–692CrossRefGoogle Scholar
  18. Paul S, Panda SN, Nagesh Kumar D (2000) Optimal irrigation allocation: a multilevel approach. J Irrig Drain Eng ASCE 126(3):149–156CrossRefGoogle Scholar
  19. Raju KS, Nagesh Kumar D (2004) Irrigation planning using genetic algorithms. Water Resour Manage 18 (2):163–176CrossRefGoogle Scholar
  20. Rao NH, Sarma PBS, Chander S (1990) Optimal multicrop allocation of seasonal and intra-seasonal irrigation water. Water Resour Res 26(4):551–559CrossRefGoogle Scholar
  21. Storn R, Price K (1995) Differential Evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Tech Rep TR-95–012, International Computer Science Institute, BerkleyGoogle Scholar
  22. Storn R, Price K (1997) Differential evolution a simple and efficient heuristic for global optimization over continuous spaces. J Global Optimiz 11:341–359CrossRefGoogle Scholar
  23. Vedula S, Mujumdar PP (1992) Optimal reservoir operation for irrigation of multiple crops. Water Resour Res 28(1):1–9CrossRefGoogle Scholar
  24. Vedula S, Nagesh Kumar D (1996) An integrated model for optimal reservoir operation for irrigation of multiple crops. Water Resourc Res 32(4):1101–1108CrossRefGoogle Scholar
  25. Wardlaw R, Sharif M (1999) Evaluation of genetic algorithms for optimal reservoir system operation. J Water Resour Plan Manage ASCE 125(1):25–33CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of ScienceBangaloreIndia
  2. 2.Department of Civil EngineeringIndian Institute of TechnologyBombayIndia

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