Irrigation Planning and Management Through Optimization Modelling

Proper planning and management of irrigation is vital in achieving food security for the burgeoning global population and sustaining livelihoods. Because irrigated agriculture is expected to provide more food, if managed properly. The comprehensive reviews on the use of various programming techniques used for planning and management of irrigation have been provided in this paper. The literature review revealed that the management models used in the past mainly considered the objectives of maximization of net farm income, minimization of waterlogging, and minimization of groundwater depletion. These objectives were achieved by optimizing the allocation of available land and water resources. The past reviews are grouped into four sections based on the programming techniques adopted. The sections include: linear programming, nonlinear programming, dynamic programming, and genetic algorithms. This review provides the basis for the selection of appropriate methodology for the planning and management of irrigation.

[1]  Yacov Y. Haimes,et al.  Management of groundwater and surface water via decomposition , 1977 .

[2]  Jeffry J. Stone,et al.  Multicriteria Analysis in an Irrigation District in Mexico , 2005 .

[3]  D. Kumar,et al.  Irrigation planning using Genetic Algorithms , 2004 .

[4]  Ehsanolah Malek-Mohammadi Irrigation Planning: Integrated Approach , 1998 .

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

[6]  Frederick Hall Fowler Hydroelectric power systems of California and their extensions into Oregon and Nevada , .

[7]  Zohrab Samani,et al.  Conjunctive Use of Surface and Groundwater , 1990 .

[8]  Driss Ouazar,et al.  Simulation-Optimization Modeling for Sustainable Groundwater Development: A Moroccan Coastal Aquifer Case Study , 2011 .

[9]  Mohammad Karamouz,et al.  Application of Genetic Algorithms and Artificial Neural Networks in Conjunctive Use of Surface and Groundwater Resources , 2007 .

[10]  Mohammad Karamouz,et al.  Crop pattern and conjunctive use management: A case study , 2008 .

[11]  Emery N. Castle,et al.  The Economics of Ground Water Allocation: A Case Study , 1960 .

[12]  Amy B. Chan Hilton,et al.  Groundwater Remediation Design under Uncertainty Using Genetic Algorithms , 2005 .

[13]  Robin Wardlaw,et al.  Comparison of Genetic Algorithm and Linear Programming Approaches for Lateral Canal Scheduling , 2004 .

[14]  S. D. Gorantiwar,et al.  Multilevel Approach for Optimizing Land and Water Resources and Irrigation Deliveries for Tertiary Units in Large Irrigation Schemes. I: Method , 2005 .

[15]  Rafael L. Bras,et al.  Intraseasonal water allocation in deficit irrigation , 1981 .

[16]  D. McKinney,et al.  Approximate Mixed‐Integer Nonlinear Programming Methods for Optimal Aquifer Remediation Design , 1995 .

[17]  A. Dinar,et al.  Optimal Allocation of Farm Irrigation Water during Peak Seasons , 1982 .

[18]  R. P. Oliveira,et al.  Operating rules for multireservoir systems , 1997 .

[19]  Aliasghar Montazar,et al.  Conjunctive Water Use Planning in an Irrigation Command Area , 2010 .

[20]  Miguel A. Mariño,et al.  Simulation-Optimization Modeling of Conjunctive Use of Surface Water and Groundwater , 2010 .

[21]  Norman J. Dudley,et al.  A single decision‐maker approach to irrigation reservoir and farm management decision making , 1988 .

[22]  J. R. Busch,et al.  Optimal Irrigation Distribution Systems with Internal Storage , 1983 .

[23]  Norman J. Dudley,et al.  Optimal Intraseasonal Irrigation Water Allocation , 1971 .

[24]  Oscar R. Burt,et al.  Groundwater Storage Control Under Institutional Restrictions , 1970 .

[25]  A. Turgeon,et al.  Fuzzy Learning Decomposition for the Scheduling of Hydroelectric Power Systems , 1996 .

[26]  Earl O. Heady,et al.  Intertemporal allocation of irrigation water in the Mayurakshi Project (India): An application of chance‐constrained linear programing , 1978 .

[27]  S. N. Panda,et al.  Saline groundwater management and optimal cropping pattern , 1985 .

[28]  Eli Feinerman,et al.  Economics of Irrigation Water Mixing Within A Farm Framework , 1983 .

[29]  F. A. De Wet,et al.  An optimization model for the management of a South African game ranch , 2007 .

[30]  Norman J. Dudley,et al.  Stochastic reservoir management and system design for irrigation , 1973 .

[31]  M. L. Granstrom,et al.  A Chance‐Constrained Approach to the Conjunctive Use of Surface Waters and Groundwaters , 1971 .

[32]  P. P. Mujumdar,et al.  Optimal reservoir operation for irrigation of multiple crops , 1992 .

[33]  Subhash Chander,et al.  Real-time adaptive irrigation scheduling under a limited water supply , 1992 .

[34]  Miguel A. Mariño,et al.  Coupled Reservoir Operation-Irrigation Scheduling by Dynamic Programming , 2002 .

[35]  A. R. Sepaskhah,et al.  Use of a water deficit sensitivity index for partial irrigation scheduling of wheat and barley , 1997, Irrigation Science.

[36]  Gordon H. Huang,et al.  A derivative algorithm for inexact quadratic program - application to environmental decision-making under uncertainty , 2001, Eur. J. Oper. Res..

[37]  David E. Goldberg,et al.  Adaptive Hybrid Genetic Algorithm for Groundwater Remediation Design , 2005 .

[38]  David E. Goldberg,et al.  Designing a competent simple genetic algorithm for search and optimization , 2000 .

[39]  LAURA A. IBÁÑEZ-CASTILLO,et al.  A Planning Model for the Fuerte-Carrizo Irrigation System, Mexico , 1997 .

[40]  Radhey Shyam,et al.  Optimal operation scheduling model for a canal system , 1994 .

[41]  Ping Guo,et al.  Fuzzy multi-objective linear programming applying to crop area planning , 2010 .

[42]  Ross Kingwell,et al.  Optimizing competitive uses of water for irrigation and fisheries , 2011 .

[43]  H. Md. Azamathulla,et al.  Comparison between genetic algorithm and linear programming approach for real time operation , 2008 .

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

[45]  Kumaraswamy Ponnambalam,et al.  An application of Karmarkar's interior-point linear programming algorithm for multi-reservoir operations optimization , 1989 .

[46]  Jonathan Barnes,et al.  Optimal Allocation of Irrigation Water Supplies in Real Time , 1999 .

[47]  Hongwei Lu,et al.  An inexact rough-interval fuzzy linear programming method for generating conjunctive water-allocation strategies to agricultural irrigation systems , 2011 .

[48]  G. Naadimuthu,et al.  A heuristic dynamic optimization algorithm for irrigation scheduling , 1999 .

[49]  Mohammad Karamouz,et al.  Monthly Water Resources and Irrigation Planning: Case Study of Conjunctive Use of Surface and Groundwater Resources , 2004 .

[50]  J. G. Kroes,et al.  Assessing Options to Increase Water Productivity in Irrigated River Basins Using Remote Sensing and Modelling Tools , 2006 .

[51]  Y. P. Li,et al.  IFMP: Interval-fuzzy multistage programming for water resources management under uncertainty , 2008 .

[52]  Shahbaz Khan,et al.  Spatio-temporal optimisation of agricultural drainage using groundwater models and genetic algorithms: an example from the Murray Irrigation Area, Australia , 2008 .

[53]  D. Yaron,et al.  Irrigation scheduling — Theoretical approach and application problems , 1987 .

[54]  L. L. Rogers,et al.  Optimization of groundwater remediation using artificial neural networks with parallel solute transport modeling , 1994 .

[55]  Venkatachaliah Lakshminarayana,et al.  Optimal Cropping Pattern for Basin in India , 1977 .

[56]  Jianfeng Wu,et al.  Optimizing groundwater development strategies by genetic algorithm: a case study for balancing the needs for agricultural irrigation and environmental protection in northern China , 2007 .

[57]  M. El-Fadel,et al.  An Optimization Approach for Multi-Sectoral Water Supply Management in the Greater Beirut Area , 2005 .

[58]  P. P. Mujumdar,et al.  Conjunctive use modeling for multicrop irrigation , 2005 .

[59]  Ajay Singh Development and Application of a Watertable Model for the Assessment of Waterlogging in Irrigated Semi-arid Regions , 2012, Water Resources Management.

[60]  V. V. Dhruva Narayana,et al.  Water Use Planning for Alkali Soils Under Reclamation , 1984 .

[61]  B. S. Thandaveswara,et al.  Conjunctive Use of Surface and Groundwater for Coastal and Deltaic Systems , 2004 .

[62]  Liang-Cheng Chang,et al.  Multi-objective Planning for Conjunctive Use of Surface and Subsurface Water Using Genetic Algorithm and Dynamics Programming , 2009 .

[63]  William S. Butcher,et al.  Optimization of the Operation of a Multiple‐Purpose Reservoir by Dynamic Programming , 1968 .

[64]  Bithin Datta,et al.  Chance-Constrained Optimal Monitoring Network Design for Pollutants in Ground Water , 1996 .

[65]  Rolf A. Deininger SYSTEMS ANALYSIS OF WATER SUPPLY SYSTEMS , 1970 .

[66]  Janusz R. Rydzewski,et al.  OPTIMIZATION OF WATER RESOURCES FOR IRRIGATION IN EAST JORDAN1 , 1981 .

[67]  S. Pathak,et al.  Optimal crop planning for a region in India by conjunctive use of surface and groundwater , 1989 .

[68]  Miguel A. Mariño,et al.  Planning Model of Irrigation District , 1987 .

[69]  D. J. Lyons,et al.  Simulation of Processes Involved in Soil Salinization to Guide Soil Remediation , 2007 .

[70]  Dimitri P. Solomatine,et al.  Groundwater Remediation Strategy Using Global Optimization Algorithms , 2002 .

[71]  James W. Male,et al.  Model for Prescribing Ground‐Water Use Permits , 1992 .

[72]  Steven M. Gorelick,et al.  A Policy Evaluation Tool' Management of a Multiaquifer System Using Controlled Stream Recharge , 1985 .

[73]  Avi Ostfeld,et al.  State of the Art for Genetic Algorithms and Beyond in Water Resources Planning and Management , 2010 .

[74]  Lyn C. Thomas,et al.  Modeling the operation of multireservoir systems using decomposition and stochastic dynamic programming , 2006 .

[75]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[76]  R. Peralta,et al.  Optimal perennial yield planning for complex nonlinear aquifers: Methods and examples , 1995 .

[77]  Irfan A. Khan A Model for Managing Irrigated Agriculture1 , 1982 .

[78]  A. Parant [World population prospects]. , 1990, Futuribles.

[79]  C. N. Bezuidenhout,et al.  An optimisation-based seasonal sugarcane harvest scheduling decision support system for commercial growers in South Africa , 2012 .

[80]  Narendra Karmarkar,et al.  A new polynomial-time algorithm for linear programming , 1984, STOC '84.

[81]  Guna N. Paudyal,et al.  Irrigation planning by multilevel optimization , 1990 .

[82]  Ajay K. Singh Groundwater modelling for the assessment of water management alternatives , 2013 .

[83]  P. P. Mujumdar,et al.  Real‐time reservoir operation for irrigation , 1997 .

[84]  S. Vedula,et al.  An Integrated Model for Optimal Reservoir Operation for Irrigation of Multiple Crops , 1996 .

[85]  Guo H. Huang,et al.  An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty , 2005, Eur. J. Oper. Res..

[86]  John Gowing,et al.  Dry drainage: A sustainable solution to waterlogging and salinity problems in irrigation areas? , 2006 .

[87]  Madan K. Jha,et al.  Simulation-Optimization Modelling for Sustainable Groundwater Management in a Coastal Basin of Orissa, India , 2009 .

[88]  Y. P. Li,et al.  Optimization of the irrigation water resources for agricultural sustainability in Tarim River Basin, China , 2012 .

[89]  Songhao Shang,et al.  Application of a simulation based optimization model for winter wheat irrigation scheduling in North China , 2006 .

[90]  Q. J. Wang The Genetic Algorithm and Its Application to Calibrating Conceptual Rainfall-Runoff Models , 1991 .

[91]  K. Srinivasa Raju,et al.  Optimal Reservoir Operation for Irrigation of Multiple Crops Using Genetic Algorithms , 2006 .

[92]  B. F. Sule,et al.  Stochastic dynamic programming models for reservoir operation optimization , 1984 .

[93]  Rafael L. Bras,et al.  The irrigation scheduling problem and evapotranspiration uncertainty , 1981 .

[94]  Arup Kumar Sarma,et al.  Genetic Algorithm for Optimal Operating Policy of a Multipurpose Reservoir , 2005 .

[95]  Nostrand Reinhold,et al.  the utility of using the genetic algorithm approach on the problem of Davis, L. (1991), Handbook of Genetic Algorithms. Van Nostrand Reinhold, New York. , 1991 .

[96]  George Tsakiris,et al.  Optimal intraseasonal irrigation water distribution , 1984 .

[97]  Guo H. Huang,et al.  Assessment of BTEX‐induced health risk under multiple uncertainties at a petroleum‐contaminated site: An integrated fuzzy stochastic approach , 2011 .

[98]  Ram K. Gupta,et al.  Stochastic Modeling of Irrigation Requirements , 1986 .

[99]  Arif A. Anwar,et al.  Irrigation Scheduling Using Mixed-Integer Linear Programming , 2001 .

[100]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[101]  Douglas V. Smith,et al.  Systems Analysis and Irrigation Planning , 1973 .

[102]  Bryan W. Karney,et al.  Reservoir operation in assigning optimal multi-crop irrigation areas , 2007 .

[103]  Z Shangguan,et al.  A MODEL FOR REGIONAL OPTIMAL ALLOCATION OF IRRIGATION AND ITS APPLICATIONS , 2002 .

[104]  Jagath J. Kaluarachchi,et al.  Enhancements to Genetic Algorithm for Optimal Ground-Water Management , 2000 .

[105]  Arif A. Anwar,et al.  Evaluation of a Genetic Algorithm for the Irrigation Scheduling Problem , 2008 .

[106]  Atsushi Yomota,et al.  Forecasting system of irrigation water on paddy field by fuzzy theory , 1995 .

[107]  S. Yakowitz Dynamic programming applications in water resources , 1982 .

[108]  Marcello Benedini,et al.  Developments and possibilities of optimization models , 1988 .

[109]  Tracy Nishikawa,et al.  Optimal Pump and Recharge Management Model for Nitrate Removal in the Warren Groundwater Basin, California , 2010 .

[110]  Miguel A. Mariño,et al.  Large-Scale Nonlinear Conjunctive Use Optimization Problem: Decomposition Algorithm , 2010 .

[111]  Darrell J. Bosch,et al.  A review of methods for evaluating the economic efficiency of irrigation , 1987 .

[112]  W. E. Martin,et al.  MULTISOURCE/MULTIQUALITY AGRICULTURAL WATER USE DECISIONMAKING1 , 1979 .

[113]  Ajay Singh,et al.  An overview of the optimization modelling applications , 2012 .

[114]  Deepak Khare,et al.  Assessment of water resources allocation options: Conjunctive use planning in a link canal command , 2007 .

[115]  Robert Horton,et al.  A model for regional optimal allocation of irrigation water resources under deficit irrigation and its applications , 2002 .

[116]  Chunhui Li,et al.  An inexact two-stage water management model for planning agricultural irrigation under uncertainty , 2010 .

[117]  Yuping Lei,et al.  Ground Water Sustainability: Methodology and Application to the North China Plain , 2008, Ground water.

[118]  David B. Fogel,et al.  An introduction to simulated evolutionary optimization , 1994, IEEE Trans. Neural Networks.

[119]  Don McFarlane,et al.  An overview of water logging and salinity in southwestern Australia as related to the ‘Ucarro’ experimental catchment , 2002 .

[120]  William S. Butcher,et al.  Optimal Timing of Irrigation , 1968 .

[121]  Subhash Chander,et al.  Irrigation scheduling under a limited water supply , 1988 .

[122]  T. Culver,et al.  Constraint Handling for Genetic Algorithms in Optimal Remediation Design , 2000 .

[123]  T. Ray,et al.  An improved evolutionary algorithm for solving multi-objective crop planning models , 2009 .

[124]  Ali Reza Sepaskhah,et al.  Linear and non‐linear optimization models for allocation of a limited water supply , 2004 .

[125]  Robert A. Young,et al.  Financial and Economic Irrigation Net Benefit Functions for Egypt's Northern Delta , 1985 .

[126]  Ajay K. Singh Optimal Allocation of Resources for the Maximization of Net Agricultural Return , 2012 .

[127]  Javaid Afzal,et al.  Optimization Model for Alternative Use of Different Quality Irrigation Waters , 1992 .

[128]  Miguel A. Mariño,et al.  Irrigation planning: 1. Cropping pattern , 1979 .

[129]  William W.-G. Yeh,et al.  Reservoir Management and Operations Models: A State‐of‐the‐Art Review , 1985 .

[130]  Mohammad Karamouz,et al.  DEVELOPMENT OF MANAGEMENT SCHEMES IN IRRIGATION PLANNING: ECONOMIC AND CROP PATTERN CONSIDERATION , 2009 .

[131]  R. Peralta,et al.  Comparison of a genetic algorithm and mathematical programming to the design of groundwater cleanup systems , 1999 .

[132]  Daniel P. Loucks,et al.  Operating rules for multi-reservoir systems , 1994 .

[133]  Hubert J. Morel-Seytoux,et al.  A discrete kernel generator for stream‐aquifer studies , 1975 .

[134]  Warren F. Musgrave,et al.  DEVELOPMENT AND ANALYSIS OF INPUT-OUTPUT RELATIONS FOR IRRIGATION WATER , 1967 .

[135]  Driss Ouazar,et al.  Evolving neural network using real coded genetic algorithm for daily rainfall-runoff forecasting , 2009, Expert Syst. Appl..

[136]  Reza Maknoon,et al.  Conjunctive Use of Ground and Surface Water , 1978 .

[137]  Sudhir Kumar,et al.  Optimal Pumping from Skimming Wells , 2006 .

[138]  Jamila Tarhouni,et al.  Optimization of Nebhana Reservoir Water Allocation by Stochastic Dynamic Programming , 2003 .

[139]  A. M. Michael,et al.  Scheduung of Canal Deliveries-I-Development of an Integrated Canal Scheduling Model , 1989 .

[140]  Hubert J. Morel-Seytoux,et al.  A Simple Case of Conjunctive Surface‐Ground‐Water Management , 1975 .

[141]  A. Protopapas,et al.  An optimal control method for real-time irrigation scheduling , 1990 .

[142]  Martin Smith,et al.  The application of climatic data for planning and management of sustainable rainfed and irrigated crop production , 2000 .

[143]  Muhammad Latif,et al.  Conjunctive Water Use to Control Waterlogging and Salinization , 1991 .

[144]  M. Naceur Azaiez,et al.  A chance-constrained multi-period model for a special multi-reservoir system , 2005, Comput. Oper. Res..

[145]  Jorge A. Ramírez,et al.  Optimal Stochastic Multicrop Seasonal and Intraseasonal Irrigation Control , 1997 .

[146]  J. Mohan Reddy,et al.  Optimal operation schedule of irrigation distribution systems , 1986 .

[147]  Deepak Khare,et al.  Assessment of counjunctive use planning options: A case study of Sapon irrigation command area of Indonesia , 2006 .

[148]  Gerald T. O'Mara Efficiency in irrigation : the conjunctive use of surface and groundwater resources , 1988 .

[149]  Nien-Sheng Hsu,et al.  Optimal tree-based release rules for real-time flood control operations on a multipurpose multireservoir system. , 2009 .

[150]  Mohammed Mainuddin,et al.  Optimal crop planning model for an existing groundwater irrigation project in Thailand , 1997 .

[151]  Chi-Ming Lee,et al.  Linking genetic algorithms with stochastic dynamic programming to the long‐term operation of a multireservoir system , 2002 .

[152]  N. K. Tyagi,et al.  Managing salinity through conjunctive use of water resources , 1988 .

[153]  Bogachan Benli,et al.  A non-linear model for farm optimization with adequate and limited water supplies: Application to the South-east Anatolian Project (GAP) Region , 2003 .

[154]  Liang-Cheng Chang,et al.  Dynamic Optimal Groundwater Management with Inclusion of Fixed Costs , 2002 .

[155]  David P. Ahlfeld,et al.  Conjunctive-management models for sustained yield of stream-aquifer systems , 2003 .

[156]  Subhash Chander,et al.  Optimal multicrop allocation of seasonal and intraseasonal irrigation water , 1990 .

[157]  Torsten Müller,et al.  Optimization of yield and water-use of different cropping systems for sustainable groundwater use in North China Plain , 2011 .

[158]  A. Mayer,et al.  Pump‐and‐treat optimization using well locations and pumping rates as decision variables , 1997 .

[159]  D. Nagesh Kumar,et al.  Optimal Irrigation Allocation: A Multilevel Approach , 2000 .

[160]  Sheng-Feng Kuo,et al.  COMPARATIVE STUDY OF OPTIMIZATION TECHNIQUES FOR IRRIGATION PROJECT PLANNING 1 , 2003 .

[161]  Yong Li,et al.  A robust modeling approach for regional water management under multiple uncertainties , 2011 .

[162]  Angus R. Simpson,et al.  A genetic algorithm for optimizing off-farm irrigation scheduling , 2001 .

[163]  N. K. Tyagi Optimal Water Management Strategies for Salinity Control , 1986 .

[164]  Bithin Datta,et al.  Optimal Management of Coastal Aquifers Using Linked Simulation Optimization Approach , 2005 .

[165]  John N. Tsitsiklis,et al.  Neuro-Dynamic Programming , 1996, Encyclopedia of Machine Learning.

[166]  Angus R. Simpson,et al.  Competent Genetic-Evolutionary Optimization of Water Distribution Systems , 2001 .

[167]  V. Jothiprakash,et al.  Development of Priority-Based Policies for Conjunctive Use of Surface and Groundwater , 2003 .

[168]  Said M. Easa,et al.  New Mathematical Optimization Model for Construction Site Layout , 2008 .

[169]  Alberto Bellin,et al.  A non-linear runoff generation model in small alpine catchments. , 2010 .

[170]  Peter Dempsey,et al.  Conjunctive water use for irrigation: good theory, poor practice , 1991 .

[171]  Bijan Ghahraman,et al.  Optimal allocation of water from a single purpose reservoir to an irrigation project with pre-determined multiple cropping patterns , 2002, Irrigation Science.

[172]  T. C. Hughes,et al.  APPLICATION OF CROP YIELD FUNCTIONS IN RESERVOIR OPERATION1 , 1991 .

[173]  Robin Wardlaw,et al.  Multireservoir Systems Optimization Using Genetic Algorithms: Case Study , 2000 .

[174]  R. Wardlaw,et al.  EVALUATION OF GENETIC ALGORITHMS FOR OPTIMAL RESERVOIR SYSTEM OPERATION , 1999 .

[175]  L. Jones,et al.  Optimal control of nonlinear groundwater hydraulics using differential dynamic programming , 1987 .

[176]  Lang Kun,et al.  Effects of irrigation and wide-precision planting on water use, radiation interception, and grain yield of winter wheat in the North China Plain , 2013 .

[177]  Guohe Huang,et al.  Planning water resources systems with interval stochastic dynamic programming , 2007 .

[178]  Gavin J. Gibson,et al.  Empirical models of farmer behaviour using psychological, social and economic variables. Part II: nonlinear and expert modelling , 1998 .

[179]  Saeed Morid,et al.  Long-Term Operation of Irrigation Dams Considering Variable Demands: Case Study of Zayandeh-rud Reservoir, Iran , 2010 .

[180]  N. V. Umamahesh,et al.  Optimal Irrigation Planning under Water Scarcity , 2006 .

[181]  D. McKinney,et al.  Genetic algorithm solution of groundwater management models , 1994 .

[182]  A. K. Rastogi Optimal pumping policy and groundwater balance for the Blue Lake aquifer, California, involving nonlinear groundwater hydraulics , 1989 .

[183]  Bhagu R. Chahar,et al.  Analytic elements method and particle swarm optimization based simulation–optimization model for groundwater management , 2011 .

[184]  Eduardo A. Holzapfel,et al.  Irrigated Cropping Optimization , 1998 .

[185]  Sudhindra N. Panda,et al.  Interseasonal Irrigation System Planning for Waterlogged Sodic Soils , 1996 .

[186]  Gideon Kruseman,et al.  Water table control, reuse and disposal of drainage water in Haryana , 1988 .

[187]  Guna N. Paudyal,et al.  A nonlinear chance constrained model for irrigation planning. , 1990 .

[188]  Juan Reca,et al.  Optimisation model for water allocation in deficit irrigation systems: I. Description of the model , 2001 .

[189]  Juan Reca,et al.  Optimisation model for water allocation in deficit irrigation systems: II. Application to the Bémbezar irrigation system , 2001 .