Case Studies
Mar 28, 2014

Water Management Trade-offs between Agriculture and the Environment: A Multiobjective Approach and Application

Publication: Journal of Irrigation and Drainage Engineering
Volume 140, Issue 8

Abstract

Practical plans for agricultural water use within multiobjective frameworks require feasible solutions that meet the objectives of competing interests and this is the root of common decision problems that plague water resources systems. To find the best solutions among the set of feasible solutions, decision-makers can analyze their worth functions, which is the goal of the surrogate worth trade-off (SWT) method, which enables assessment of the worth functions after solutions that are optimal to separate groups are analyzed. The SWT method uses Lagrange multipliers to determine the set of Pareto optimal solutions and requires the exact equation of each objective function and its derivative or gradient. This is normally impractical in watershed scale problems because each objective function comprises a set of interactive physical and hydrological equations, but the problem can be partially overcome by incorporating a genetic algorithm. This approach was applied to a case study of California’s San Joaquin River watershed to approximate optimum rates of reduction in agricultural water allocations for environmental purposes. In the case study, decision-makers were aided in assessing their worth functions on the basis of the optimal solutions presented to them. The genetic algorithm optimization tool was linked to a watershed simulation model using the soil and water assessment tool (SWAT) to simulate streamflow and salinity. Model results showed that SWAT provides satisfactory predictions for salinity, which can be used in the trade-off analysis. The compromised rates of agricultural water allocations resulted in a significant increase in the system’s reliability and decreased its vulnerability to salinity.

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References

Arnold, J. G., Srinivasan, R., Muttiah, R. S., and Williams, J. R. (1998). “Large area hydrologic modeling and assessment part I: Model development.” J. Am. Water Resour. Assoc., 34(1), 73–89.
Berizzi, A., Bovo, C., and Marannino, P. (2001). “The surrogate worth trade off analysis for power system operation in electricity markets.” Proc., IEEE PES Summer Meeting, Vol. 2, IEEE, Vancouver, BC, Canada, 1034–1039.
Booth, B., and Mitchell., A. (2001).Getting started with ArcGIS, ESRI, Redlands, CA.
Branke, J., Deb, K., Miettinen, K., and Slowinski, R., eds. (2008). Multiobjective optimization: Interactive and evolutionary approaches. Springer, Berlin.
Bureau of Reclamation, and California Department of Water Resources. (2010). “Reclamation–Managing water in the west: Delta-Mendota canal recirculation feasibility study.” Plan Formulation Rep., Appendices, Vol. 2, Sacramento, CA.
California Regional Water Quality Control Board (CRWQCB) Central Valley Region. (2009). Water quality control plan (basin plan) for the California Regional Water Quality Control Board Central Valley Region Fourth Edition, The Sacramento River Basin and the San Joaquin River Basin.
Chankong, V., and Haims, Y. Y. (1983). Multiobjective decision making: Theory and methodology, Elsevier Science, New York.
Cohon, J. L., and Marks, D. (1975). “A review and evaluation of multiobjective programming techniques.” Water Resour. Res., 11(2), 208–220.
Das, P., and Haimes, Y. (1979). “Multiobjective optimization in water quality and land management.” Water Resour. Res., 15(6), 1313–1322.
Debeljak, C. J., Haimes, Y. Y., and Leach, M. (1986). “Integration of the surrogate worth trade-off method and the analytic hierarchy process.” Socio-Econ. Plann. Sci., 20(6), 375–385.
Dept. of Water Resources (DWR). (2009). “California water plan: San Joaquin River integrated water management.”, Vol. 3, Regional Reports.
Dhillon, J. S., and Kothari, D. P. (2000). “The surrogate worth trade- off approach for multi-objective thermal power dispatch problem.” Elec. Power Syst. Res., 56(2), 103–110.
Duan, Q., Gupta, V. K., and Sorooshian, S. (1993). “A shuffled complex evolution approach for effective and efficient global minimization.” J. Optim. Theor. Appl., 76(3), 501–521.
Duan, Q., Sorooshian, S., and Gupta, V. (1992). “Effective and efficient global optimization for conceptual rainfall-runoff models.” Water Resour. Res., 28(4), 1015–1031.
Edgeworth, F. Y. (1881). Mathematical psychics: An essay on the application of mathematics to the moral sciences, C. Kegan Paul & Co., London.
Gershon, M., and Duckstein, L. (1983). “Multiobjective approaches to river basin planning.” J. Water Resour. Plann. Manage., 13–28.
Grober, L. F. (1996). “Sources and circulation of salt in the San Joaquin River Basin.” North American Water and Environmental Congress 1996, ASCE, Reston, VA.
Haimes, Y. Y., and Hall, W. A. (1974). “Multiobjectives in water resources systems analysis: The surrogate worth trade-off method.” Water Resour. Res., 10(4), 615–624.
Hashimoto, T., Stedinger, J. R., and Loucks, D. P. (1982). “Reliability, resiliency, and vulnerability criteria for water resources performance evaluation.” Water Resour. Res., 18(1), 14–20.
Herr, J. W., and Chen, C. W. (2007). San Joaquin River Up-stream DO TMDL project—Task 6, San Joaquin Valley Drainage Authority.
Holland, J. H. (1975). Adaptation in natural and artificial systems, University of Michigan Press, Ann Arbor, MI.
Howitt, R., MacEwan, D., and Medellin-Azuara, J. (2008). “Calculating California cropping patterns in 2050.” Technical Memo, CA Water Plan Update 2009, Vol 4 Reference Guide, Dept. of Agricultural and Resource Economics, Univ. of California, Davis, CA.
Howitt, R. E., Kaplan, J., Larson, D., MacEwan, D., Medellín-Azuara, J., Horner, G., and Lee, N. S. (2009). “The economic impacts of central valley salinity.” Final Rep. to the State Water Resources Control Board Contract 05-417-150-0, Univ. of California, Davis, CA.
Hwang, C. L., and Masud, A. S. M. (1979). Multiple objective decision making—Methods and applications: A state-of-the-art survey, Springer, Berlin.
Karamouz, M., Akhbari, M., Moridi, A., and Kerachian, R. (2006). “A system dynamics-based conflict resolution model for river water quality management.” Iran. J. Environ. Health Sci. Eng., 3(3), 147–160.
Keller, A. (2000). “Peer review of the watershed analysis risk management framework (WARMF)—An evaluation of WARMF for TMDL applications by independent experts using USEPA guidelines.”, Electric Power Research Institute, Palo Alto, CA.
Khondabi, I. G., and Tafti, A. F. (2010). “Fuzzy group decision making using surrogate worth trade-off method.” Int. J. Comput. Sci. Eng., 2(8), 2602–2608.
Koopmans, T., (1951). “Analysis and production as an efficient combination of activities.” T. Koopmans, ed., Activity Analysis of Production and Allocation, Chapman & Hall, London.
Kratzer, C. R., and Grober, L. F. (1991). “San Joaquin River salinity: 1991 projections compared to 1977.” California Agric., 45(6), 24–27.
Kuhn, H., and Tucker, A. (1951). “Nonlinear programming.” Proc., Second Berkeley Symposium on Mathematical Statistics and Probability, J. Neyman, ed., University of California Press, Berkley, 481–492.
Marler, R. T., and Arora, J. S. (2004). “Survey of multi-objective optimization methods for engineering.” Struct. Multidiscip. Optim., 26(6), 369–395.
Miettinen, K. (1999). Nonlinear multi-objective optimization, Kluwer Academic, Boston.
Moriasi, D. N., Arnold, J. G., Van Liew, M. W., Bingner, R. L., Harmel, R. D., and Veith, T. L. (2007). “Model evaluation guidelines for systematic quantification of accuracy in watershed simulations.” Trans. ASABE, 50(3), 885–900.
Nangia, U., Jain, N. K., and Wadhwa, C. L. (1997). “Surrogate worth trade-off technique for multi-objective optimal power flows.” IEE Proc., Generation, Transmission and Distribution, IET, London, 144(6), 547–553.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models, Part I—A discussion of principles.” J. Hydrol., 10(3), 282–290.
Neitsch, S. L., Arnold, J. G., Kiniry, J. R., Srinivasan, R., and Williams, J. R. (2005). “Soil and water assessment tool theoretical documentation, version 2005.” Grassland, Soil and Water Research Laboratory, Agricultural Research Service, Temple, TX, 〈http://www.brc.tamus.edu/swat/doc.html〉 (Nov. 1, 2011).
Nicklow, J., et al. (2010). “State of the art for genetic algorithms and beyond in water resources planning and management.” J. Water Resour. Plann. Manage., 412–432.
Pareto, V. (1896). Cours d’Économie Politique, Rouge, Lausanne, Switzerland (in French).
Pareto, V. (1906). Manual of political economy, Trans. A. S. Schwier, MacMillan, London.
Periḉ, T., and Babiḉ, Z. (2008). “Determining optimal production plan by revised surrogate worth trade-off method.” Proc., World Academy of Science, Engineering and Technology, Vol. 23, Paris, 284–293.
Peterson, D. H., et al. (1996). San Francisco Bay salinity: Observations, numerical simulation, and statistical models, in San Francisco Bay: The ecosystem, J. T. Hollibaugh, American Association for the Advancement of Science, San Francisco, CA, 9–34.
Pitzer, G. (2009). Salinity in the Central Valley: A critical problem, Aquafornia, Water Education Foundation.
Sheikh, P. A., and Cody, B. A. (2005). CALFED Bay-Delta program: Overview of institutional and water use issues, Congressional Research Service, Library of Congress, Washington, DC, 16.
SWRCB. (2000). Revised water right decision 1641, State Water Resources Control Board, Sacramento, CA.
The MathWorks. (2011). Global optimization toolbox user’s guide, release 2011b, Natick, MA.
United States Department of Agriculture. (2009). “Trade and agriculture: What’s at stake for California?” Foreign Agriculture Service. 〈http://www.fas.usda.gov/info/factsheets/wto/states/ca.html〉 (Oct. 10, 2012).
U.S. Geological Survey. (2008). National Hydrography Datasets, 〈http://nhd.usgs.gov/data.html〉 (Dec. 1, 2012).
Vinke, P. (1992). Multicriteria decision aid, Wiley, Chichester, U.K.
Winchell, M., Srinivasan, R., Di Luzio, M., and Arnold, J. (2007). ArcSWAT interface for SWAT2005 user’s guide, Texas Agricultural Experiment Station and United States Dept. of Agriculture, Temple, TX.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 140Issue 8August 2014

History

Received: Jan 22, 2013
Accepted: Feb 4, 2014
Published online: Mar 28, 2014
Published in print: Aug 1, 2014
Discussion open until: Aug 28, 2014

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Authors

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Masih Akhbari [email protected]
Postdoctoral Researcher, Center for Watershed Sciences, Univ. of California, Davis, CA 95616-8576 (corresponding author). E-mail: [email protected]
Neil S. Grigg, F.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Colorado State Univ., CO 80523-1372. E-mail: [email protected]

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