Technical Papers
Nov 27, 2013

Water Resources Sustainability: Development of a Multiobjective Optimization Model

Publication: Journal of Water Resources Planning and Management
Volume 140, Issue 12

Abstract

This research investigates the application of multiobjective optimization (MO) modeling to the issue of water resources sustainability, from a water supply standpoint, with specific application to the Prescott Active Management Area (AMA) in Arizona. One unique aspect of the investigation is the development of a method to quantify the nonuse value of groundwater for use in a quantitative optimization model. Another is the incorporation within the model of objectives that include the typically conflicting goals of growth, conservation, and cost minimization. The model is solved using a multiobjective genetic algorithm.

Get full access to this article

View all available purchase options and get full access to this article.

References

Arizona Dept. of Water Resources (ADWR). (1999). “Third management plan for Prescott active management area: 2000–2010.” Phoenix.
Arizona Dept. of Water Resources (ADWR). (2004). “Prescott active management area 2003–2004 hydrologic monitoring Rep.” Arizona Dept. of Water Resources Hydrology Division, Phoenix.
Arizona Dept. of Water Resources (ADWR). (2006). “Identification of historically irrigated acres in the big chino sub-basin.” Arizona Dept. of Water Resources, Prescott Active Management Area (AMA), Phoenix.
ASCE Task Committee on Sustainability Criteria. (1998). “Sustainability criteria for water resource systems.” UNESCO/IHP EV Project M-4.3, ASCE Water Resources Planning and Management Division and Working Group, Reston, VA.
Bredehoeft, J. D., and Young, R. C. (1983). “Conjunctive use of groundwater and surface water for irrigated agriculture: Risk aversion.” Water Resour. Res., 19(5), 1111–1121.
Brundtland, G. (1987). “Our common future.” Rep. of the World Commission on Environment and Development, Oxford University Press, New York.
Chermak, J. M., and Patrick, R. H. (2001). “A microeconometric test of the theory of exhaustible resources.” J. Environ. Econ. Manage., 42(1), 82–103.
Deb, K. (2001). Multi-objective optimization using evolutionary algorithms, John Wiley & Sons, New York.
Deb, K., Agrawal, S., Pratap, A., and Meyarivan, T. (2000). “A fast and elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II.” Proc., Parallel Problem Solving from Nature VI Conference (PPSN-VI), Springer, New York, 849–858.
Deshmukh, S. D., and Pliska, S. R. (1985). “A Martingale characterization of the price of a nonrenewable resource with decisions involving uncertainty.” J. Econ. Theory, 35(2), 322–342.
Fisher, M. E., et al. (2002). “Optimal water management and conflict resolution: The Middle East water project.” Water Resour. Res., 38(11), 1–17.
Fonseca, C. M., and Fleming, P. J. (1993). “Genetic algorithms for multiobjective optimization: Formulation, discussion, and generalization.” Proc., Fifth Int. Conf. on Genetic Algorithms, Morgan Kaufmann Publishers, San Mateo, CA, 416–423.
Horn, J., Nafploitis, N., and Goldberg, D. (1994). “A niched Pareto genetic algorithm for multi-objective optimization.” Proc., First Institute of Electrical and Electronics Engineers (IEEE) Conf. on Evolutionary Computation, IEEE World Congress on Computational Intelligence, Vol. 1, IEEE Neural Networks Council, Piscataway, NJ, 82–87.
Hotelling, H. (1931). “The economics of exhaustible resources.” J. Political Econ., 39(2), 137–175.
Howard, C. D. D. (2002). “Sustainable development–Risk and uncertainty.” J. Water Resour. Plann. Manage., 309–311.
Liebman, J. C. (1976). “Some simple-minded observations on the role of optimization in public systems decision-making.” Interfaces, 6(4), 102–108.
Loucks, D. P., Stakhiv, E. Z., and Martin, L. R. (2000). “Sustainable water resources management.” J. Water Resour. Res., 43–47.
Marsden Jacob Associates. (2012). “Assessing the value of groundwater.”, National Water Commission, Australian Government, Canberra, Australia.
Mays, L. W. (2007). Water resources sustainability, McGraw-Hill, New York.
Mumford-Valenzuela, C. L. (2004). “A simple approach to evolutionary multiobjective optimization.” Evolutionary multiobjective optimization: Theoretical advances and applications, A. Abraham, J. Lakhmi, and R. Goldberg, eds., Springer, London, 55–79.
National Research Council (NRC). (1997). Valuing ground water: Economic concepts and approaches, National Academy Press, Washington, DC.
Pearce, D. W., and Turner, R. K. (1990). Economics of natural resources and the environment, Harvester Wheatsheaf, New York.
Provencher, B., and Burt, O. (1994). “Approximating the optimal groundwater pumping policy in a multiaquifer stochastic conjunctive use setting.” Water Resour. Res., 30(3), 833–843.
Ranjan, R. (2012). “Natural resource sustainability versus livelihood resilience: model of groundwater exploitation strategies in developing regions.” J. Water Resour. Plann. Manage., 512–522.
Ranjithan, S. R. (2005). “Role of evolutionary computation in environmental and water resources systems analysis.” J. Water Resour. Plann. Manage., 1–2.
Reddy, V. R. (2005). “Costs of resource depletion externalities: A study of groundwater overexploitation in Andhra Pradesh, India.” Environ. Dev. Econ., 10(4), 533–556.
Rothman, D. (2007). “Evaluation of water resources sustainability using a multi-objective genetic algorithm.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Arizona State Univ., Tempe, AZ.
Schaffer, J. D. (1985). “Multiple objective optimization with vector evaluated genetic algorithms.” Genetic Algorithms and their Applications: Proc., First Int. Conf. on Genetic Algorithms, Lawrence Erlbaum Associates, Hillsdale, NJ, 93–100.
Shiklomanov, I. A., and Rodda, J. C. (2003). “World water resources at the beginning of the 21st century.” UNESCO international hydrology series, Cambridge University Press, Cambridge, England.
Srinivas, N., and Deb, K. (1994). “Multi-objective function optimization using non-dominated sorting genetic algorithms.” Evol. Comput., 2(3), 221–248.
Unver, O. (2007). “Water-based sustainable integrated regional development.” Water resources sustainability, L. W. Mays, ed., McGraw-Hill, New York.
U.S. Census Bureau. (1995). Arizona: Population of counties by decennial census: 1900 to 1990, U.S. Census Bureau Population Division, Washington, DC.
U.S. Census Bureau. (2006). “Table 4: Annual estimates of the population of unincorporated places in Arizona, listed alphabetically: April 1, 2000 to July 1, 2005.”, U.S. Census Bureau Population Division, Washington, DC.
U.S. Council on Environmental Quality. (2013). “Principles and requirements for federal investments in water resources.” Washington, DC.
Weiss, E. B. (1993). “Intergenerational fairness and water resources.” Sustaining Our Water Resources, National Research Council, Water Science and Technology Board, Tenth Anniversary Symp., National Academy, Washington, DC., 3–10.
World Water Council. (2000). “A water secure world: Vision for water, life, and the environment.” World Water Vision Commission Rep., UNESCO Division of Water Sciences, UNESCO, Paris.
Zitzler, E., and Thiele, L. (1999). “Multiobjective evolutionary algorithms: A comparative case study and the strength Pareto approach.” IEEE Trans. Evol. Comput., 3(4), 257–271.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 140Issue 12December 2014

History

Received: Mar 2, 2013
Accepted: Nov 25, 2013
Published online: Nov 27, 2013
Discussion open until: Nov 2, 2014
Published in print: Dec 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Daniel W. Rothman, F.ASCE
Water Resources Engineer, 6890 N. 77th Place, Scottsdale, AZ 85250.
Larry W. Mays [email protected]
Professor, School of Sustainable Engineering and the Built Environment, Arizona State Univ., Tempe, AZ 85287 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share