A non-linear model for farm optimization with adequate and limited water supplies: Application to the South-east Anatolian Project (GAP) Region

Abstract This paper develops a non-linear optimization model for the determination of optimum cropping pattern, water amount and farm income under adequate and limited water supply conditions. The objective function of the model is based on crop water-benefit functions. The model is solved using Ms Excel Solver package for conditions existing in South-east Anatolian Region of Turkey. The model gives the optimal distribution of crop areas, irrigation water needs of crops and total profit for the farm under adequate and limited water supplies. The problem was also solved by a linear programming (LP) model, in order to indicate the difference between non-linear programming (NLP) and linear programming models. After the examination of NLP and LP model solutions, it can be seen that, the NLP model can give higher farm income values than the LP model under deficit irrigation conditions. Also, in some capacity levels, with the NLP model, instead of two different irrigation volume applications for one crop, the best irrigation volume ratio has been calculated.

[1]  Francesco Mannocchi,et al.  Optimization Analysis of Deficit Irrigation Systems , 1994 .

[2]  D. M. Bhandarkar,et al.  Optimal cropping pattern in a canal command area , 2001 .

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

[4]  Franklin M. Fisher,et al.  Analyzing agricultural demand for water with an optimizing model , 1999 .

[5]  J. Doorenbos,et al.  Guidelines for predicting crop water requirements , 1977 .

[6]  J. Doorenbos,et al.  Yield response to water , 1979 .

[7]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[8]  Marshall J. English,et al.  Deficit irrigation. I. Analytical framework , 1990 .

[9]  I. H. Olcay Unver,et al.  Southeastern Anatolia Project (GAP) , 1997 .

[10]  S. Kodal,et al.  Irrigation Management in GAP , 1997 .

[11]  Cliff T. Ragsdale,et al.  Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Management Science , 2003 .

[12]  O. W. Israelsen,et al.  Irrigation principles and practices , 1932 .

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

[14]  K. Elango,et al.  Nonlinear Programming Model for Extensive Irrigation , 1998 .

[15]  Miguel A. Mariño,et al.  Planning Simulation Model of Irrigation District , 1992 .

[16]  L. S. Pereira,et al.  Crop evapotranspiration : guidelines for computing crop water requirements , 1998 .

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

[18]  D. Kumar,et al.  Multicriterion decision making in irrigation planning , 1999 .

[19]  John M. Blatt,et al.  Description of the Model , 1988 .

[20]  Mik Wisniewski.  A Practical Introduction to Management Science , 1989 .

[21]  Cliff T. Ragsdale,et al.  Spreadsheet modeling and decision analysis , 1996 .