Advertisement

Water Resources Management

, Volume 33, Issue 1, pp 57–73 | Cite as

Rational Function Method for Allocating Water Resources in the Coupled Natural-Human Systems

  • Dedi Liu
  • Shenglian Guo
  • Pan Liu
  • Hui Zou
  • Xingjun Hong
Article
  • 73 Downloads

Abstract

Allocating water resources in coupled natural-human systems is largely determined by available water (W), water demand (D), water demand and the regional characteristics of water resources management (m). As the interactions among these factors have evolved with hydrological and societal changes in the environment, water resources allocation models based on optimization and simulation techniques become more complicated and are challenged to meet the requirements of generating detailed but simple simulations that yield practical allocation results. Unlike the simulation-optimization model, we have proposed a rational function method for allocating water resources based on the physical mechanism of water use. The validity of the proposed method has been examined through the comparison of results from the Mike Basin optimal water resources allocation model. The sensitivity and the controlling factors of the rational function method are analyzed theoretically and applied in our case study. The result of the absolute value of mean percentage error (MPE) in every study unit is less than 2%, which indicates that the estimated the amounts of water resources allocation from proposed model agree well with the performance of the MIKE BASIN model. We have also identified two critical values at W / D = 1 and m = 2. The index of water richness (W / D) plays more important role than m when m > 2 and a lesser role when m < 2. Additionally, it has been demonstrated that aside from the water richness index, water demand, reservoir operation, and water management level are also significant factors for water resources allocation.

Keywords

Rational method Water resources allocation Optimization model Mike Basin 

Notes

Acknowledgments

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (No. 91647106, 51579183, 51539009 and 51525902).

Compliance with Ethical Standards

Conflict of Interest

None.

References

  1. Bangash RF, Pasuello A, Hammond M, Schuhmacher M (2012) Water allocation assessment in low flow river under data scare conditions: a study of hydrological simulation in Mediterranean basin. Sci Total Environ 440:60–71CrossRefGoogle Scholar
  2. Berkes F, Folke C (1998) Linking social and ecological systems: Management practices and social mechanisms for building resilience. Cambridge university press, CambridgeGoogle Scholar
  3. Davijani MH, Banihabib ME, Anvar AN, Hashemi SR (2016) Optimization model for the allocation of water resources based on the maximization of employment in the agriculture and industry sectors. J Hydrol 533(1):430–438CrossRefGoogle Scholar
  4. DHI (1997) MIKE BASIN-a tool for river planning and management. Danish Hydraulic Institute, HorsholmGoogle Scholar
  5. DHI (2009) MIKE BASIN-user’s guide. A GIS extension for integrated water resources management and planning. Danish Hydraulic Institute, HorsholmGoogle Scholar
  6. Doulgeris C, Georgiou P, Papadimos D, Papamichail D (2015) Water allocation under deficit irrigation using MIKE BASIN model for the mitigation of climate change. Irrig Sci 33:469–482CrossRefGoogle Scholar
  7. Elshafei Y, Coletti JZ, Sivapalan M, Hipsey MR (2015) A model of the socio-hydrologic dynamic in a semiarid catchment: Isolating feedbacks in the coupled human-hydrology system. Water Resour Res 51:6442–6471CrossRefGoogle Scholar
  8. Engle N, Johns O, Lemos M, Nelson D (2011) Integrated and adaptive management of water resources: Tensions, legacies, and the next best thing. Ecol Soc 16(1):1–2CrossRefGoogle Scholar
  9. Fernandes LFS, Marques MJ, Oliveira PC, Moura JP (2013) Decision support systems in water resources in the demarcated region of Douro-case study in Pinhão river basin, Portugal. Water Environ J 28:350–3574Google Scholar
  10. Fu BP (1981) On the calculation of the evaporation from land surface (in Chinese). Sci Atmos Sin 5:23–31Google Scholar
  11. Grafton RQ, Chu HL, Stewardson M, Kompas T (2011) Optimal dynamic water allocation: Irrigation extractions and environmental tradeoffs in the Murray River, Australia. Water Resour Res 47:W00G08.  https://doi.org/10.1029/2010WR009786 CrossRefGoogle Scholar
  12. Hanasaki N, Kanae S, OkiT MK, Motoya K, Shirakawa N, Shen Y, Tanaka K (2008) An integrated model for the assessment of global water resources-Part 2: Applications and assessments. Hydrol Earth Syst Sci 12:1027–1037CrossRefGoogle Scholar
  13. Hassaballah K, Jonoski A, Popescu I, Solomatine DP (2012) Model based optimization of downstream impact during filling of a new reservoir: case study of Mandaya/Roseires reservoirs on the Blue Nile river. Water Resour Manag 26:273–293CrossRefGoogle Scholar
  14. Hu ZN, Chen YZ, Yao LM, Wei CT, Li CZ (2016) Optimal allocation of regional water resources: From a perspective of equity-efficiency tradeoff. Resour Conserv Recycl 109:102–113CrossRefGoogle Scholar
  15. Huitema D, Mostert E, Egas W, Moellenkamp S, Pahl-Wostl C, Yalcin R (2009) Adaptive water governance: Assessing the institutional prescriptions of adaptive management from a governance perspective and defining a research agenda. Ecol Soc 14(1):1698–1707CrossRefGoogle Scholar
  16. Huntjens P, Lebel L, Pahl-Wostl C, Camkin J, Schulze R, Kranz N (2012) Instituional design propositions for the governance of adaptation to climate change in the water sector. Glob Environ Chang 22(1):67–68CrossRefGoogle Scholar
  17. Ireson A, Makropoulos C, Maksimovic C (2006) Water resources modelling under data scarcity: coupling MIKE BASIN and ASM groundwater model. Water Resour Manag 20:567–590CrossRefGoogle Scholar
  18. Jha MJ, Gupta AD (2003) Application of Mike Basin for water management strategies in a watershed. Water Int 28:27–35CrossRefGoogle Scholar
  19. Khan S, Dassanayake D, Gabriel HF (2010) An adaptive learning framework for forecasting seasonal water allocations in irrigated catchments. Nat Resour Model 23(3):324–353CrossRefGoogle Scholar
  20. Kirchhoff CJ, Dilling L (2016) The role of U.S. state in facilitating effective water governance under stress and change. Water Resour Res 52:2951–2964CrossRefGoogle Scholar
  21. Leemhuis C, Jung G, Kasei R, Liebe J (2009) The Volta Basin water allocation system: assessing the impact of small-scale reservoir development on the water resources of the Volta basin, West Africa. Adv Geosci 21:57–62CrossRefGoogle Scholar
  22. Li M, Guo P, Sing VP, Zhao J (2016) Irrigation water allocation using an inexact two-stage quadratic programming with fuzzy input under climate change. J Am Water Resour As 52(3):667–684CrossRefGoogle Scholar
  23. Liu DD, Chen XH, Lou ZH (2010) A Model for the Optimal Allocation of Water Resources in a Saltwater Intrusion Area: A Case Study in Pearl River Delta in China. Water Resour Manag 24(1):63–81CrossRefGoogle Scholar
  24. Liu DD, Chen XH, Nakato T (2012) Resilience assessment of water resources system. Water Resour Manag 26(13):3743–3755CrossRefGoogle Scholar
  25. Liu DD, Guo SL, Shao QX, Jiang YZ, Chen XH (2014) Optimal allocation of water quantity and waste load in the Northwest Pearl River Delta, China. Stoch Env Res Risk A 28(6):1525–1542CrossRefGoogle Scholar
  26. Liu J, Dietz T, Carpenter SR, Folke C, Alberti M, Redman CL, Schneider SH, Ostrom E, Pell AN, Lubchenco J, Taylor WW, Ouyang Z, Deadman P, Kratz T, Provencher W (2007) Coupled human and natural systems. Ambio 36(8):639–649CrossRefGoogle Scholar
  27. Liu Y, Gupta H, Springer E, Wagener T (2008) Linking science with environmental decision making: experiences from an integrated modelling approach to supporting sustainable water resources management. Eniron Modell Softw 23:846–858CrossRefGoogle Scholar
  28. Ljunggren M (2007) Calculation methods for water resources in small water basin-downscaling of hydrological models. M.Sc. thesis, KTH Land and Water Resources EngineeringGoogle Scholar
  29. Low B, Costanza R, Ostrom E, Wilson J, Simon CP (1999) Human-ecosystem interactions: a dynamic integrated model. Ecol Econ 31:227–242CrossRefGoogle Scholar
  30. Lund JR (2015) Integrating social and physical sciences in water management. Water Resour Res 51:5905–5918CrossRefGoogle Scholar
  31. Mekonnen MM, Hoekstra AY (2016) Four billion people facing severe water scarcity. Sci Adv 2(2):e1500323.  https://doi.org/10.1126/sciadv.1500323 CrossRefGoogle Scholar
  32. Montanari A, Yong G, Savenije H, Hughes D, Wagener T, Ren L, Koutsoyiannis D, Cudennec C, Toth E, Grimaldi S (2013) Panta Rhei-Everthing Flows: Change in hydrology and society-the IAHS scientific Decade 2013-2022. Hydrology SciJ 58:1256–1275CrossRefGoogle Scholar
  33. Ouyang Y, Wentz EA, Ruddell BL, Harlan SL (2014) A multi-scale analysis of single-family residential water use in the phoenix metropolitan area. J Am Water Resour As 50(2):448–467CrossRefGoogle Scholar
  34. Pahl-Wostl C (2009) A conceptual framework for analysing adaptive capacity and multi-level learning processes in resource governance regimes. Glob Environ Chang 19:354–365CrossRefGoogle Scholar
  35. Schlüter M, McAllister RRJ, Arlinghaus R, Bunnefeld N, Eisenack K, Hoelker F, MilnerGulland EJ, Müller B, Nicholson E, Quaas K, Stöven M (2012) New horizons for managing the environment: a review of coupled social-ecological systems modeling. Nat Resour Model 25:219–272CrossRefGoogle Scholar
  36. Srinivasan V, Seto KC, Emerson R, Gorelick SM (2013) The impact of urbanization on water vulnerability: a coupled human-environment system approach for Chennai, India. Glob Environ Chang 23:229–239CrossRefGoogle Scholar
  37. Tavoni A, Schlüter M, Levint S (2012) The survival of the conformist: social pressure and renewable resource management. J Thero Biol 299:152–161CrossRefGoogle Scholar
  38. Thompson SE, Sivapalan M, Harman CJ, Srinivasan V, Hipsey MR, Reed P, Montanari A, Blöschl G (2013) Developing predictive insight into changing water systems: use-inspired hydrologic science for the Anthropocene. Hydrol Earth Syst Sci 17:5013–5039CrossRefGoogle Scholar
  39. Zhang L, Hickel K, Dawes WR, Chiew FHS, Western AW, Briggs PR (2004) A rational function approach for estimating mean annual evapotranspiration. Water Resour Res 40:W02502.  https://doi.org/10.1029/2003WR002710 CrossRefGoogle Scholar
  40. Zhu T, Marques GF, Lund JR (2015) Hydroeconomic optimization of integrated water management and transfers under stochastic surface water supply. Water Resour Res 51:WR016519CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  • Dedi Liu
    • 1
    • 2
  • Shenglian Guo
    • 1
    • 2
  • Pan Liu
    • 1
    • 2
  • Hui Zou
    • 1
    • 2
  • Xingjun Hong
    • 1
  1. 1.State Key Laboratory of Water Resources and Hydropower Engineering ScienceWuhan UniversityWuhanChina
  2. 2.Hubei Provincial Collaborative Innovation Center for Water Resource SecurityWuhan UniversityWuhanChina

Personalised recommendations