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Water Resources Management

, Volume 33, Issue 1, pp 423–437 | Cite as

Improved Water Allocation under Limited Water Supplies Using Integrated Soil-Moisture Balance Calculations and Nonlinear Programming

  • Bennie GrovéEmail author
Article
  • 52 Downloads

Abstract

Water allocation under limited water supplies is becoming more important as water becomes scarcer. Optimization models are frequently used to provide decision support to enhance water allocation under limited water supplies. Correct modelling of the underlying soil-moisture balance calculations at the field scale, which governs optimal allocation of water is a necessity for decision-making. Research shows that the mathematical programming formulation of soil-moisture balance calculations presented by Ghahraman and Sepaskhah (2004) may malfunction under limited water supplies. A new model formulation is presented in this research that explicitly models deep percolation and evapotranspiration as a function of soil-moisture content. The new formulation also allows for the explicit modelling of inefficiencies resulting from nonuniform irrigation. Modelling inefficiencies are key to the evaluation of the economic profitability of deficit irrigation. Ignoring increasing efficiencies resulting from deficit irrigation may render deficit irrigation unprofitable. The results show that ignoring increasing efficiencies may overestimate the impact of deficit irrigation on maize yields by a maximum of 2.2 tons per hectare.

Keywords

Deficit irrigation Nonlinear programming Optimization Soil-moisture balance Water allocation 

Notes

Acknowledgements

The paper is based on research being conducted as part of a solicited research project, Long-run hydrolic and economic risk simulation and optimization of water curtailments (K5/2498//4), that is initiated, managed and funded by the Water Research Commission (Water Research Commission 2015). Financial and other assistance by the Water Research Commission are gratefully acknowledged.

References

  1. Allen RG, Pereira L, Raes D, Smith M (1998) Crop evapotranspiration: Guidelines for computing crop water requirements. Irrigation and Drainage Paper No 56. Food and Agriculture Organisation (FAO), Rome, ItalyGoogle Scholar
  2. Doorenbos J, Kassam AH (1979) Yield response to water. irrigation and drainage paper 33. Food and Agriculture Organisation (FAO), Rome, ItalyGoogle Scholar
  3. English MJ, Raja SN (1996) Review: Perspectives on deficit irrigation. Agric Water Manag 32 (1): 1–14.  https://doi.org/10.1016/S0378-3774(96)01255-3
  4. English MJ, Solomon KH, Hoffman GJ (2002) A paradigm shift in irrigation management. Journal of Irrigation and Drainage Engineering 128(5):267–277.  https://doi.org/10.1061/(ASCE)0733-9437(2002)128:5(267) CrossRefGoogle Scholar
  5. GAMS Development Corporation (2017) GAMS documentation, distribution 24.9. Washington DC, USAGoogle Scholar
  6. Ghahraman B, Sepaskhah A (2004) Linear and non-linear optimization models for allocation of a limited water supply. Irrig Drain 53:39–54.  https://doi.org/10.1002/ird.108 CrossRefGoogle Scholar
  7. Haro D, Paredes J, Solera A, Andreu J (2012) A model for solving the optimal water allocation problem in river basins with network flow programming when introducing non-linearities. Water Resour Manag 26(4):4059–4071.  https://doi.org/10.1007/s11269-012-0129-7 CrossRefGoogle Scholar
  8. Kanooni A, Monem NJ (2014) Integrated stepwise approach for optimal water allocation in irrigation canals. Irrig Drain 63:12–21.  https://doi.org/10.1002/ird.1798 CrossRefGoogle Scholar
  9. Li J (1998) Modeling crop yield as affected by uniformity of sprinkler irrigation system. Agric Water Manag 38:135–146.  https://doi.org/10.1016/S0378-3774(98)00055-9 CrossRefGoogle Scholar
  10. Moghaddasi M, Morid S, Araghinejad S, Alikhani A (2010) Assessment of irrigation water allocation based on optimization and equitable water reduction approaches to reduce agricultural drought losses: the 1999 drought in the Zayandeh RUD irrigation system (Iran). Irrig Drain 59(4):377–387.  https://doi.org/10.1002/ird.499 CrossRefGoogle Scholar
  11. Molden, D (Ed) (2007) Pathways for increasing agricultural water productivity. Water for Food, Water for Life: A Comprehensive Assessment of Water Management in Agriculture, International Water Management Institute, London: Earthscan, ColomboGoogle Scholar
  12. Montazar A, Riazi H, Behbahani SM (2010) Conjunctive water use planning in an irrigation command area. Water Resour Manag 24(3):577–596.  https://doi.org/10.1007/s11269-009-9460-z CrossRefGoogle Scholar
  13. Murtagh BA, Saunders MA, Gill PE (1998) MINOS 5.5 User’s guide. Stanford University, Stanford, CaliforniaGoogle Scholar
  14. Sadati SK, Speelman S, Sabouhi M, Gitizadeh M, Ghahraman B (2014) Optimal irrigation water allocation using a genetic algorithm under various weather conditions. Water 6(10):3068–3084.  https://doi.org/10.3390/w6103068 CrossRefGoogle Scholar
  15. Safa HH, Morid S, Moghaddasi M (2012) Incorporating economy and long-term inflow forecasting uncertainty into decision-making for agricultural water allocation during droughts. Water Resour Manag 26(8):2267–2281.  https://doi.org/10.1007/s11269-012-0015-3 CrossRefGoogle Scholar
  16. Singh A (2014) Irrigation planning and management through optimization modelling. Water Resour Manag 28(1):1–14.  https://doi.org/10.1007/s11269-013-0469-y CrossRefGoogle Scholar
  17. Smith M (1992) CROPWAT, A computer program for irrigation planning and management. Irrigation and Drainage Paper 46. Food and Agriculture Organisation (FAO), RomeGoogle Scholar
  18. Stewart, JI, Hagan RM, Pruitt, WO, Danielson RE, Franklin WT, Hanks RJ, Riley JP, Jackson EB (1977) Optimizing crop production through control of water and salinity levels in the soil. Reports, Paper 67. https://digitalcommons.usu.edu/water_rep/67
  19. Van Heerden PS, Walker S (2016) Upgrading of SAPWAT3 as a management toll to estimate the irrigation water use of crops, revised edition, SAPWAT4. Water research Commission report no. TT662/16, Water Research Commission, South AfricaGoogle Scholar
  20. Water Research Commission (2015) Knowledge review 2015/16. Water Research Commission, South AfricaGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Agricultural EconomicsUniversity of the Free StateBloemfonteinSouth Africa

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