Modeling Conjunctive Use Operations and Farm Decisions with Two-Stage Stochastic Quadratic Programming

This paper applies two-stage stochastic quadratic programming to optimize conjunctive use operations of groundwater pump- ing 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.

[1]  John D. Bredehoeft,et al.  Conjunctive use of groundwater and surface water for irrigated agriculture: Risk aversion , 1983 .

[2]  Sam H. Johnson.  Large-Scale Irrigation and Drainage Schemes in Pakistan: A Study of Rigidities in Public Decision Making , 1982 .

[3]  Jeanine Jones,et al.  Groundwater storage—The Western Experience , 2003 .

[4]  Gerrit Schoups,et al.  Sustainable conjunctive water management in irrigated agriculture: Model formulation and application to the Yaqui Valley, Mexico , 2006 .

[5]  Richard E. Howitt,et al.  Positive Mathematical Programming , 1995 .

[6]  Robert A. Young,et al.  Digital computer simulation for solving management problems of conjunctive groundwater and surface water systems , 1972 .

[7]  Bruce A. McCarl,et al.  An Economic, Hydrologic, and Environmental Assessment of Water Management Alternative Plans for the South Central Texas Region , 2001, Journal of Agricultural and Applied Economics.

[8]  Bill Provencher,et al.  Approximating the optimal groundwater pumping policy in a multiaquifer stochastic conjunctive use setting , 1994 .

[9]  Oscar R. Burt,et al.  The economics of conjunctive use of ground and surface water , 1964 .

[10]  R. Lacewell,et al.  Farm program impacts on an exhaustible groundwater supply: An analysis of the Texas Southern High Plains , 1990 .

[11]  Julien J. Harou,et al.  Ending groundwater overdraft in hydrologic-economic systems , 2008 .

[12]  M. Naceur Azaiez,et al.  A model for conjunctive use of ground and surface water with opportunity costs , 2002, Eur. J. Oper. Res..

[13]  Jay R. Lund,et al.  Modeling irrigated agricultural production and water use decisions under water supply uncertainty , 2005 .

[14]  G. Marques.  Economic Representation of Agricultural Activities in Water Resources Systems Engineering , 2004 .

[15]  John W. Labadie,et al.  Decision Support System for Conjunctive Stream-Aquifer Management , 1998 .

[16]  Richard Walker,et al.  WATER FROM POWER: WATER SUPPLY AND REGIONAL GROWTH IN THE SANTA CLARA VALLEY* , 1982 .

[17]  David Kendrick,et al.  GAMS, a user's guide , 1988, SGNM.

[18]  Eric C. Schuck,et al.  Supply-based water pricing in a conjunctive use system: implications for resource and energy use , 2002 .

[19]  Yacov Tsur,et al.  The buffer value of groundwater with stochastic surface water supplies. , 1991 .

[20]  N. Whittlesey,et al.  The Effect of Stochastic Irrigation Demands and Surface Water Supplies on On-Farm Water Management , 1998 .

[21]  Jay R. Lund,et al.  Economically Driven Simulation of Regional Water Systems: Friant-Kern, California , 2006 .

[22]  Y. Tsur.  The stabilization role of groundwater when surface water supplies are uncertain: The implications for groundwater development , 1990 .

[23]  Gerrit Schoups,et al.  Reliable conjunctive use rules for sustainable irrigated agriculture and reservoir spill control , 2006 .

[24]  R. Peralta,et al.  Optimal Large-Scale Conjunctive Water-Use Planning: Case Study , 1995 .

[25]  Richard C. Peralta,et al.  Simulation/Optimization Modeling for Water Resources Management , 1999 .

[26]  Peter K. Kitanidis,et al.  Optimal conjunctive‐use operations and plans , 1998 .

[27]  D. De Wrachien,et al.  Conjunctive use of surface and groundwater , 2007 .

[28]  Dennis P. Lettenmaier,et al.  Cyclic Storage: A Preliminary Assessment , 1982 .

[29]  James J. Doody.  CONJUNCTIVE USE OF GROUND AND SURFACE WATERS , 1969 .

[30]  M. Naceur Azaiez,et al.  A single-period model for conjunctive use of ground and surface water under severe overdrafts and water deficit , 2001, Eur. J. Oper. Res..

[31]  S. Gorelick.  A review of distributed parameter groundwater management modeling methods , 1983 .

[32]  H. Shuval.  Water Quality Management Under Conditions of Scarcity: Israel As a Case Study , 1980 .