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A Stochastic Non-linear Programming Model for a Multi-period Water Resource Allocation with Multiple Objectives

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  • Andrew Higgins
  • Ainsley Archer
  • Stefan Hajkowicz

Abstract

A rapid increase in demand and severe droughts in recent years has increased the pressure on water supplies throughout most parts of Australia. This has resulted in the need for tools to allocate limited water across users in different regions, and explore scenarios so as to achieve economic, social and environmental benefits. A major challenge in water resource allocation is dealing with the uncertainty in the system, particularly with respect to reservoir inflow. Stochastic non-linear programming is applied to water resource allocation to accommodate this uncertainty across the time periods of the planning horizon. A large range of solutions is produced representing the distributions of uncertainty in reservoir inflow. These solutions are used in a Monte Carlo simulation to estimate the trade-off in amounts of water allocated versus risk of not achieving minimal reservoir levels. The methodology is applied to a case study in South East Queensland in Australia, a region which is currently facing a severe water shortage over the next 3 years. A new water supply initiative that the Queensland State Government is considering to overcome the water crisis is assessed using the methodology. Copyright Springer Science+Business Media B.V. 2008

Suggested Citation

  • Andrew Higgins & Ainsley Archer & Stefan Hajkowicz, 2008. "A Stochastic Non-linear Programming Model for a Multi-period Water Resource Allocation with Multiple Objectives," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(10), pages 1445-1460, October.
    • Handle: RePEc:spr:waterr:v:22:y:2008:i:10:p:1445-1460
    DOI: 10.1007/s11269-007-9236-2
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    References listed on IDEAS

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    4. Bakker, Hannah & Dunke, Fabian & Nickel, Stefan, 2020. "A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice," Omega, Elsevier, vol. 96(C).
    5. Teresa Torregrosa & Martín Sevilla & Borja Montaño & Victoria López-Vico, 2010. "The Integrated Management of Water Resources in Marina Baja (Alicante, Spain). A Simultaneous Equation Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(14), pages 3799-3815, November.
    6. Yan Han & Yue-Fei Huang & Guang-Qian Wang & Imran Maqsood, 2011. "A Multi-objective Linear Programming Model with Interval Parameters for Water Resources Allocation in Dalian City," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(2), pages 449-463, January.
    7. Jackson, T.M. & Hanjra, Munir A. & Khan, S. & Hafeez, M.M., 2011. "Building a climate resilient farm: A risk based approach for understanding water, energy and emissions in irrigated agriculture," Agricultural Systems, Elsevier, vol. 104(9), pages 729-745.
    8. Xiaona Li & Xiaosheng Wang & Haiying Guo & Weimin Ma, 2020. "Multi-Water Resources Optimal Allocation Based on Multi-Objective Uncertain Chance-Constrained Programming Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4881-4899, December.
    9. Saeed Golian & Bahram Saghafian & Reza Maknoon, 2010. "Derivation of Probabilistic Thresholds of Spatially Distributed Rainfall for Flood Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(13), pages 3547-3559, October.
    10. Chunlong Li & Jianzhong Zhou & Shuo Ouyang & Chao Wang & Yi Liu, 2015. "Water Resources Optimal Allocation Based on Large-scale Reservoirs in the Upper Reaches of Yangtze River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2171-2187, May.
    11. Pradeep Dogra & V. Sharda & P. Ojasvi & Shiv Prasher & R. Patel, 2014. "Compromise Programming Based Model for Augmenting Food Production with Minimum Water Allocation in a Watershed: a Case Study in the Indian Himalayas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(15), pages 5247-5265, December.
    12. Fuxing Wang & Oliver Saavedra Valeriano & Xinguo Sun, 2013. "Near Real-Time Optimization of Multi-Reservoir during Flood Season in the Fengman Basin of China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(12), pages 4315-4335, September.

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