Fair water resources allocation with application to the south saskatchewan river basin

References

• Alberta Environment . 2003 . South Saskatchewan River Basin water allocation , Alberta , , Canada : Southern Region, Regional Services, Alberta Environment .
   Google Scholar
• Alberta Environment . 2006 . Approved water management plan for the South Saskatchewan River Basin (Alberta) , Alberta , , Canada : Alberta Environment .
   Google Scholar
• Blackett , P. M. S. 1962 . Studies of war , Edinburgh : Oliver and Boyd .
   Google Scholar
• Cai , X. , McKinney , D. C. and Lasdon , L. S. 2002 . A framework for sustainability analysis in water resources management and application to the Syr Darya Basin . Water Resources Research , 38 ( 6 ) : 21/1 – 21/14 .
   Web of Science ®Google Scholar
• de Loë, R. 2009. “A Canadian vision and strategy for water in the 21st century.” Policy Options July-August: 21-24.
   Google Scholar
• Dyson, I., B. Paterson, and D. Fitzpatrick. 2004. “The state of southern Alberta's water resources”. Confronting Water Scarcity: Challenges and Choices Conference, Lethbridge, Alberta, Canada, July 13–16.
   Google Scholar
• Edwards , W. , Miles , R. F. and Winterfeldt , D. V. , eds. 2007 . Advances in decision analysis: From foundations to applications , Cambridge : Cambridge University Press . 623 pp
   Google Scholar
• Emes , M. , Smith , A. and Cowper , D. 2005 . Confronting an identity crisis – How to ‘brand’ systems engineering . Systems engineering , 8 ( 2 ) : 164 – 186 .
   Google Scholar
• Fang , L. , Hipel , K. W. and Kilgour , D. M. 1993 . Interactive decision making: The graph model for conflict resolution , New York : Wiley .
   Google Scholar
• Fredericks , W. , Labadie , J. W. and Altenhofen , J. M. 1998 . Decision support system for conjunctive stream-aquifer management . Journal of Water Resources Planning and Management , 124 ( 2 ) : 69 – 78 .
   Web of Science ®Google Scholar
• GAMS Development Corporation. 2005. GAMS − The solver manuals: OQNLP and MSNLP. Washington, DC.
   Google Scholar
• Giordano , M. A. and Wolf , A. T. 2001 . Incorporating equity into international water agreements . Social Justice Research , 14 ( 4 ) : 349 – 366 .
   Google Scholar
• Gunderson, L. 1999. Resilience, flexibility and adaptive management — Antidotes for spurious certitude. Conservation Ecology 3(1): 7. Accessed April 2012. http://www.consecol.org/vol3/iss1/art7/
   Google Scholar
• Haimes , Y. 2009 . Risk modeling, assessment, and management , 3rd ed , New York : Wiley .
   Google Scholar
• Harsanyi, J. C. 1959. “A bargaining model for the cooperative n-person game.” In Contributions to the Theory of Games, 4 vol, edited by A.W. Tucker, and R.D. Luce, 325–355. Princeton, NJ: Princeton University Press.
   Google Scholar
• Hipel , K. W. and Fang , L. 2005 . “ Multiple participant decision making in societal and technological systems ” . In Systems and human science — for safety, security, and dependability , Edited by: Arai , T. , Yamamoto , S. and Makino , K. 3 – 31 . Amsterdam : Elsevier .
   Google Scholar
• Hipel , K. W. and McLeod , A. I. 1994 . Time series modelling of water resources and environmental systems , Amsterdam : Elsevier .
   Google Scholar
• Hipel , K. W. and Obeidi , A. 2005 . Trade versus the environment strategic settlement from a systems engineering perspective . Systems engineering , 8 ( 3 ) : 211 – 233 .
   Google Scholar
• Hipel , K. W. , Fang , L. and Kilgour , D. M. 2008a . Decision support systems in water resources and environmental management . Journal of Hydrologic Engineering , 13 ( 9 ) : 761 – 770 .
   Web of Science ®Google Scholar
• Hipel, K. W., L. Wang, and L. Fang. 2009b. “Systems thinking in fair water resources allocation.” In Proceedings of the international conference on water, environment, energy and society (WEES-2009): Volume II statistical and systems analysis techniques, 937-952. New Dehli: Allied Publishers PVT
   Google Scholar
• Hipel , K. W. , Jamshidi , M. M. , Tien , J. and White , C. C. 2007 . The future of systems, man and cybernetics: Application domains and research methods . IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews , 37 ( 5 ) : 726 – 743 .
   Web of Science ®Google Scholar
• Hipel , K. W. , Kilgour , D. M. , Rajabi , S. and Chen , Y. 2008b . “ Operations research and refinement of courses of action ” . In Handbook of systems engineering and management , 2nd ed , Edited by: Sage , A. P. and Rouse , W. B. 1171 – 1222 . New York : Wiley .
   Google Scholar
• Hipel , K. W. , Obeidi , A. , Fang , L. and Kilgour , D. M. 2008c . Adaptive systems thinking in integrated water resources management with insights into conflicts over water exports . INFOR , 46 ( 1 ) : 51 – 70 .
   Web of Science ®Google Scholar
• Hipel , K. W. , Obeidi , A. , Fang , L. and Kilgour , D. M. 2009a . “ Sustainable environmental management from a system of systems perspective ” . In System of systems engineering: Principles and applications , Edited by: Jamshidi , M. 443 – 481 . New York : Wiley .
   Google Scholar
• Holling , C. S. , ed. 1978 . Adaptive environmental assessment and management , Wiley : New York .
   Google Scholar
• Hsu , N. and Cheng , K. 2002 . Network flow optimization model for basin-scale water supply planning . Journal of Water Resources Planning and Management , 128 ( 2 ) : 102 – 112 .
   Web of Science ®Google Scholar
• International Conference on Water and Environment. 1992. The Dublin statement on water and sustainable development. Accessed April 2012. http://www.gdrc.org/uem/water/dublin-statement.html
   Google Scholar
• Jain , S. K. and Singh , V. P. 2003 . Water resources systems planning and management , New York : Elsevier .
   Google Scholar
• Johnson , S. 1997 . Three approaches to big technology: Operations research, systems engineering and project management . Technology and Culture , 38 ( 4 ) : 891 – 919 .
   Web of Science ®Google Scholar
• Lawson , H. 2010 . A journey through the systems landscape , London : College Publications .
   Google Scholar
• Lejano , R. P. and Davos , C. A. 1995 . Cost allocation of multiagency water resource projects: Game-theoretic approaches and case study . Water Resources Research , 31 : 1387 – 1393 .
   Web of Science ®Google Scholar
• Loucks , D. P. and van Beek , E. 2005 . Water resources systems planning and management: An introduction to methods, models and applications , Paris : UNESCO Publishing .
   Google Scholar
• Mahan , R. C. , Horbulykb , T. M. and Rowse , J. G. 2002 . Market mechanisms and the efficient allocation of surface water resources in southern Alberta . Socio-Economic Planning Sciences , 36 ( 1 ) : 25 – 49 .
   Google Scholar
• Martz , L. , Bruneau , J. and Rolfe , J. T. , eds. 2007 . Climate Change and Water: SSRB Final Technical Report , Saskatoon : University of Sasaktchewan . 252 pp
   Google Scholar
• McKinney , D. C. , Cai , X. , Rosegrant , M. W. , Ringler , C. and Scott , C. A. 1999 . Modeling water resources management at the basin level: Review and future directions , Colombo , , Sri Lanka : International Water Management Institute .
   Google Scholar
• Mitchell, B. 1990. “Integrated water management.” In Integrated water management: International experiences and perspectives, edited by. B. Mitchell, 1–21. London: Belhaven Press.
   Google Scholar
• Murtagh, B. A., Saunders, M. A., Murray, W., Gill, P. E., Raman, R., Kalvelagen, E., 2002. GAMS/MINOS: A Solver for Large-scale Nonlinear Optimization Problems. Accessed April 2012. www.gams.com/dd/docs/solvers/minos.pdf
   Google Scholar
• Nandalal , K. W. D. and Hipel , K. W. 2007 . Strategic decision support for resolving conflict over water sharing among countries along the Syr Darya River in the Aral Sea Basin . Journal of Water Resources Planning and Management , 133 ( 4 ) : 289 – 299 .
   Web of Science ®Google Scholar
• Nandalal , K. W. D. and Simonoric , S. P. , eds. 2003 . State-of-the-art on systems analysis methods for resolution of conflicts in water resources management , Paris : Division of Water Sciences, United Nations Educational, Scientific and Cultural Organization (UNESCO) . 138 pp
   Google Scholar
• National Round Table on the Environment and the Economy . 2009 . Charting a path: Synthesis of workshop discussion , Ottawa , Canada : Program on Water and Canada's Natural Resource Sector .
   Google Scholar
• Ogryczak , W. , Sliwinski , T. and Wierzbicki , A. 2003 . Fair resource allocation schemes and network dimensioning problems . Journal of Telecommunications and Information Technology , 4 ( 3 ) : 34 – 42 .
   Google Scholar
• Owen , G. 1995 . Game theory , 3rd ed , New York : Academic Press .
   Google Scholar
• Parrachino, I., A. Dinar, and F. Patrone. 2006. Cooperative game theory and its application to natural, environmental and water resource issues: 3. Application to water resources. World Bank Policy Research Working Paper 4074
   Google Scholar
• Pomeroy, J. W., X. Fang, and B. Williams. 2009. Impacts of climate change on Saskatchewan's water resources, Centre for Hydrology Report No. 6. Saskatoon: Centre for Hydrology, University of Saskatchewan
   Google Scholar
• Sage , A. P. 1992 . Systems engineering , New York : Wiley .
   Google Scholar
• Sage , A. P. and Rouse , W. B. , eds. 2009 . Handbook of systems engineering and management , New York : Wiley .
   Google Scholar
• Savenije , H. H. G. and Van der Zaag , P. 2000 . Conceptual framework for the management of shared river basins; with special reference to the SADC and EU . Water Policy , 2 ( 1 ) : 9 – 45 .
   Google Scholar
• Schindler , D. W. and Donahue , W. F. 2006 . An impending water crisis in Canada's western prairie provinces . Proceedings of the National Academy of Sciences , 103 ( 19 ) : 7210 – 7216 .
   PubMed Web of Science ®Google Scholar
• Schmeidler , D. 1969 . The nucleolus of a characteristic function game . SIAM Journal of Applied Mathematics , 17 ( 6 ) : 1163 – 1170 .
   Web of Science ®Google Scholar
• Seyam , I. , Savenije , H. H. G. , Aerts , J. and Schepel , M. 2000 . Algorithms for water resources distribution in international river basins . Physics and Chemistry of the Earth Part B , 25 ( 3 ) : 309 – 314 .
   Web of Science ®Google Scholar
• Shapley, L. S. 1953. “A value for n-person games”. In Contributions to the Theory of Games, Volume II, edited by H.W. Kuhn and A.W. Tucker, Annals of Mathematics Studies 28, 307–317. Princeton, NJ: Princeton University Press.
   Google Scholar
• Singh , V. P. 1995 . “ What is environmental hydrology? ” . In Environmental hydrology , Edited by: Singh , V.P. 1 – 12 . Dordrecht , , The Netherlands : Kluwer .
   Google Scholar
• Tu , M. , Hsu , N. , W-G , W. and Yeh . 2003 . Optimization of reservoir management and operation with hedging rules . Journal of Water Resources Planning and Management , 129 ( 2 ) : 86 – 97 .
   Web of Science ®Google Scholar
• United Nations. 1997. Convention on the law of the non-navigational uses of international watercourses. U.N. Doc. A/51/869, adopted by the UN General Assembly in resolution 51/229 of 21 May 1997. Accessed May 2008. http://www.un.org/law/ilc/texts/nnavfra.htm
   Google Scholar
• United Nations, Economic and Social Commission for Asia and the Pacific (UNESCAP). 2000. Principles and practices of water allocation among water-use sectors. Bangkok, Thailand: ESCAP Water Resources Series No. 80
   Google Scholar
• United Nations, World Water Assessment Programme (UNWWAP) . 2003 . UN world water development report: Water for people, water for life , Paris : United Nations Educational, Scientific and Cultural Organization and Berghahn Books .
   Google Scholar
• Waddington , C. H. 1973 . OR in World War 2 , London : Elek Science .
   Google Scholar
• Walters , C. 1986 . Adaptive management of renewable resources , New York : McGraw Hill .
   Google Scholar
• Wang, L. 2005. “Cooperative water resources allocation among competing users.” PhD diss., University of Waterloo.
   Google Scholar
• Wang , L. , Fang , L. and Hipel , K. W. 2003 . Water allocation: A cooperative game theoretic approach . Journal of Environmental Informatics , 2 ( 2 ) : 11 – 22 .
   Web of Science ®Google Scholar
• Wang , L. , Fang , L. and Hipel , K.W. 2007a . Mathematical programming approaches for modeling water rights allocation . Journal of Water Resources Planning and Management , 133 ( 1 ) : 50 – 59 .
   Web of Science ®Google Scholar
• Wang , L. , Fang , L. and Hipel , K. W. 2007b . On achieving fairness in the allocation of scarce resources: Measurable principles and multiple objective optimization approaches . IEEE Systems Journal , 1 ( 1 ) : 17 – 28 .
   Web of Science ®Google Scholar
• Wang , L. , Fang , L. and Hipel , K. W. 2008a . Basin-wide cooperative water resources allocation . European Journal of Operational Research , 190 ( 3 ) : 798 – 817 .
   Web of Science ®Google Scholar
• Wang , L. , Fang , L. and Hipel , K. W. 2008b . Integrated hydrologic-economic modeling of coalitions of stakeholders for water allocation in the South Saskatchewan River Basin . Journal of Hydrologic Engineering , 13 ( 9 ) : 781 – 792 .
   Web of Science ®Google Scholar
• Wolf , A. T. 1999 . Criteria for equitable allocations: The heart of international water conflict . Natural Resources Forum , 23 ( 1 ) : 3 – 30 .
   Google Scholar
• Wurbs , R. A. 2001 . Assessing water availability under a water rights priority system . Journal of Water Resources Planning and Management , 127 ( 4 ) : 235 – 243 .
   Web of Science ®Google Scholar
• Yager , R. R. 1988 . On ordered weighted averaging aggregation operators in multicriteria decision making . IEEE Transactions on Systems, Man and Cybernetics , 18 ( 1 ) : 183 – 190 .
   Web of Science ®Google Scholar
• Yager , R. R. 1997 . On the analytic representation of the Leximin ordering and its application to flexible constraint propagation . European Journal of Operational Research , 102 ( 1 ) : 176 – 192 .
   Web of Science ®Google Scholar
• Young , H. P. 1994 . Equity in theory and practice , Princeton , NJ : Princeton University Press .
   Google Scholar
• Young , H. P. , Okada , N. and Hashimoto , T. 1982 . Cost allocation in water resources development . Water Resources Research , 18 : 463 – 475 .
   Web of Science ®Google Scholar