Modeling Conjunctive Use Operations and Farm Decisions with Two-Stage Stochastic Quadratic Programming
Publication: Journal of Water Resources Planning and Management
Volume 136, Issue 3
Abstract
This paper applies two-stage stochastic quadratic programming to optimize conjunctive use operations of groundwater pumping and artificial recharge with farmer’s expected revenue and cropping decisions. The two-stage programming approach allows modeling of water and permanent crop production decisions, with recourse for uncertain conditions of hydrology, annual crops, and irrigation technology decisions. Results indicate potential gains in expected net benefits and reduction in income variability from conjunctive use, with increase in high value permanent crops along with more efficient irrigation technology.
Get full access to this article
View all available purchase options and get full access to this article.
References
Azaiez, M. N. (2002). “A model for conjunctive use of ground and surface water with opportunity costs.” Eur. J. Oper. Res., 143, 611–624.
Azaiez, M. N., and Hariga, M. (2001). “A single-period model for conjunctive use of ground and surface water under severe overdrafts and water deficit.” Eur. J. Oper. Res., 133, 653–666.
Belaineh, G., Peralta, R. C., and Hughes, T. C. (1999). “Simulation/optimization modeling for water resources management.” J. Water Resour. Plann. Manage., 125(3), 154–161.
Bredehoeft, J. D., and Young, R. A. (1983). “Conjunctive use of groundwater and surface water for irrigated agriculture: Risk aversion.” Water Resour. Res., 19(5), 1111–1121.
Brooke, A., Kendrick, D., Meeraus, A., and Raman, R. (1998). GAMS: A user's guide, GAMS Development Corporation.
Brown, L. D., Pinhey, N. A., and Spaletta, J. L. (2001). Designing successful groundwater banking programs in the central valley: Lessons from experience, The Natural Heritage Institute, Berkeley, Calif.
Burt, O. R. (1964). “The economics of conjunctive use of ground and surface water.” Hilgardia, 36(2), 31–111.
Coe, J. J. (1988). “Responses to some of the adverse external effects of groundwater withdrawals in California.” Efficiency in irrigation: The conjunctive use of surface and groundwater resources, G. O’Mara, ed., World Bank, Washington, D.C.
Fredericks, J. W., Labadie, J. W., and Altenhofen, J. M. (1998). “Decision support system for conjunctive stream-aquifer management.” J. Water Resour. Plann. Manage., 124(2), 69–78.
Gillig, D., McCarl, A., and Boadu, F. (2001). “An economic, hydrologic and environmental assessment of water management alternative plans for south central Texas region.” J. Agricultural and Applied Economics., 33(1), 59–68.
Gorelick, S. M. (1983). “A review of distributed parameter groundwater management models.” Water Resour. Res., 19(2), 305–319.
Gorelick, S. M. (1988). “A review of groundwater management models.” Efficiency in irrigation, the conjunctive use of surface and groundwater resources, G. T. O’Mara, ed., World Bank, Washington, D.C.
Harou, J. J., and Lund, J. R. (2008). “Ending groundwater overdraft in hydrologic-economic systems.” Hydrogeol. J., 16(6), 1039–1055.
Howitt, R. E. (1995). “Positive mathematical programming.” Am. J. Agric. Econom., 77, 329–342.
Jones, J. (2003). “Groundwater storage—The western experience.” J. Am. Water Works Assoc., 95(2), 71–83.
Lee, J. G., and Lacewell, R. D. (1990). “Farm program impacts on an exhaustible groundwater supply: An analysis of the Texas southern high plains.” Water Resour. Res., 26(3), 361–368.
Lettenmaier, D., and Burges, S. (1991). “Cyclic storage. A preliminary assessment.” Groundwater, 20(3), 278–288.
Marino, M. A. (2001). “Conjunctive management of surface and groundwater.” Regional management of water resources, A. H. Schuman, ed., International Association of Hydrological Sciences, Wallingford, U.K.
Marques, G. F. (2004). “Economic representation of agricultural activities in water resources systems engineering.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California at Davis, Davis, Calif.
Marques, G. F., et al. (2006). “Economically-driven simulation of regional water systems: Friant-Kern, California.” J. Water Resour. Plann. Manage., 132(6), 468–479.
Marques, G. F., Lund, J. R., and Howitt, R. E. (2005). “Modeling irrigated agricultural production and water use decisions under water supply uncertainty.” Water Resour. Res., 41, W08423.
Peralta, R. C., Cantiller, R. R. A., and Terry, J. E. (1995). “Optimal large-scale conjunctive water-use planning: Case study.” J. Water Resour. Plann. Manage., 121(6), 471–478.
Philbrick, C. R., and Kitanidis, P. K. (1998). “Optimal conjunctive-use operations and plans.” Water Resour. Res., 34(5), 1307–1316.
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.
Pulido, M., Marques, G. F., Jenkins, M., and Lund, J. R. (2003). “Conjunctive use of ground and surface waters: Classical approaches and California’s examples.” Proc., XI World Water Congress—Water Resources Management in the 21st Century, IWRA, Madrid, Spain.
Sahuquillo, A., and Lluria, M. (2003). “Conjunctive use as potential solution for stressed aquifers: Social constraints.” Intense use of groundwater. Challenges and opportunities, R. Llamas and E. Custodio, eds., Balkema, Rotterdam, The Netherlands.
Schoups, G., Addams, C. L., Minjares, J. L., and Gorelick, S. M. (2006a). “Reliable conjunctive use rules for sustainable irrigated agriculture and reservoir spill control.” Water Resour. Res., 42, W12406.
Schoups, G., Addams, C. L., Minjares, J. L., and Gorelick, S. M. (2006b). “Sustainable conjunctive water management in irrigated agriculture: Model formulation and application to the Yaqui Valley.” Water Resour. Res., 42, W10417.
Schuck, E. C., and Green, G. P. (2002). “Supply-based water pricing in a conjunctive use system: Implications for resource and energy use.” Resource Energ. Econ., 24, 175–192.
Schwartz, J. (1980). “A systems approach to the strategy of integrated management of surface and groundwater resources.” Water quality management under conditions of scarcity: Israel as a case study, H. I. Shuval, ed., Academic, New York, 167–187.
Tsur, Y. (1990). “The stabilization role of groundwater when surface water supplies are uncertain: The implications for groundwater development.” Water Resour. Res., 26(5), 811–818.
Tsur, Y. and Grahm-Tomasi, T. (1991). “The buffer of groundwater with stochastic surface water supplies.” J. Envir. Econom. Manage., 21, 811–818.
Walker, R. A., and Williams, M. J. (1982). “Water from power: Water supply and regional growth in the Santa Clara Valley.” Econ. Geogr., 58(2), 95–119.
Willis, D. B., and Whittlesey, N. K. (1998). “The effect of stochastic irrigation demands and surface water supplies on on-farm water management.” J. Agricultural and Resource Economics, 23(1), 206–224.
Young, R. A., and Bredehoeft, J. D. (1972). “Digital computer simulation for solving management problems of conjunctive groundwater and surface water systems.” Water Resour. Res., 8(3), 533–556.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 136 • Issue 3 • May 2010
Pages: 386 - 394
Copyright
© 2010 ASCE.
History
Received: Sep 10, 2008
Accepted: Aug 10, 2009
Published online: Aug 12, 2009
Published in print: May 2010
Authors
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.