Application of Linear and Non-linear Programming Model to Assess the Sustainability of Water Resources in Agricultural Patterns

Subject Areas : Environmental policy and management

Seyed Abolghasem Mortazavi ¹ , Reza Hezareh ² , Sina Ahmadi Kaliji ³ , Samira Shayan Mehr ⁴

1 - Faculty Member and MSc Student, Department of Agricultural Economics, University of Tarbiat Modares, Tehran, Iran
2 - Faculty Member and MSc Student, Department of Agricultural Economics, University of Tarbiat Modares, Tehran, Iran
3 - Former MSc student, Department of Agricultural economics, Gorgan University of Agricultural Sciences and Natural Resources, Gorgan, Iran
4 - MSc Student in Agricultural Economics, University of Kordestan, Iran

Received: 2013-09-30 Accepted : 2013-11-16 Published : 2014-03-01

Keywords: consumers, Hedonic Pricing, cowpeas, Nigeriawater Resources Sustainability, Fractional Goal Programming, Cropping Pattern, The North Parts Farms of Iran,

Abstract :

Water resources sustainability is one of the major issues in the agricultural sustainability. In this study sustainability of water resources has been investigated by use of linear and non-linear models in six models based on optimal utilization of water resources in the north parts farms of Iran because of incorrect use of agricultural water resources, from 2011 to 2012. Also “gross margin per a unit of water consumption” and “employment per a unit of water consumption” are used as indicators for assessing the sustainability of cropping patterns. The results show that cropping pattern of fractional goal programming (FGP) model has been near to current situation and has shown realistic conditions according to expertise and advantage of this area in cultivation of certain crops. So the FGP model has desirability in each of indicators than other five models.

References:

1- Amini Faskhodi, A. & Nouri, S.H. (2010). Assessingsustainability and crop pattern of farming systemsaccording to optimization of water and soil use,nonlinear mathematical programming models. Journalof Science and Technology of Agriculture andNatural Resources, 55(15), 99-109.

2- Bakhshi, A., Daneshvar kakhki, M. & Moghadasi,R. (2011). Application of positive mathematical programmingmodel to analysis of water pricing alternativepolicies in Mashad plain. Economic andAgricultural Development, 3, 284-294.

3- Borimnejad, V. & Yazdani, S. (2006). Analysis ofsustainability in water resource management in agriculturalsector using fractional programming: casestudy of Kerman State. Research and Developmentin Agronomy And Horticulture, 63, 2-16. (In Farsi).

4- Borimnejad, V. & Sharifat, M. (2012). Water resourcessustainable allocation: case study; Alborzprovince, Iran. Advances in Environmental Biology,6(2), 912-915.

5- Caballero, R. & Hernandez, M. (2010). Resolutionof the linear fractional goal programming problem.Revista Electronica de Comunicaciones yTrabajos de ASEPUMA, 11, 27-40.

6- Gomez, J. A. & Martinez, Y. (2006). Multi-criteriamodeling of irrigation water market at basin level:A Spanish case study. European Journal of OperattionalResearch, 173. 313-336. [DOI via Crossref]

7- Lara, P. & Stancu-Minasiam, I. (1999). Fractionalprogramming: a tool for the assessment of sustainability.Agricultural Systems, 62, 131-141. [DOI via Crossref]

8- Oron, G. & Gillerman, L. (2008). Membranetechnology for advanced waste water reclamationfor sustainable agriculture production. Desalination,218, 170-180. [DOI via Crossref]

9- Pati, R., Vrat, P. & Kumar, P. (2006). A goal programmingmodel for paper recycling system.Omega, (36), 405-417.

10- Sabouhi, M. (2012). Application of MathematicalProgramming in Agricultural Economics. Publicationof Zabol University.

11- Zamani, O., Sabouhi Saboni, M. & Nader, H.(2010). Determining cropping pattern towards sustainableagriculture by use of fazi fractional programming.Journal of Agricultural Science andSustainable Production, 2(4), 101-112.