Skip to main content
SpringerLink
Log in

Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach

  • Published:
Water Resources Management Aims and scope Submit manuscript

Abstract

Water resources sustainability has the main contribution to the existence and durability of the farming systems and strongly depends on the cropping pattern practices. A comprehensive cropping pattern planning takes in to account the high level of interrelation of the environmental, economic and social aspects of farming systems. In order to assess the sustainability of water resources and determine an optimal pattern of cropping in a rural farming system, this paper introduces two ratios of “net return/water consumption” and “labor employment/water consumption” and attempts to simultaneously optimize them as the sustainability indicators. To this purpose, a multi-objective fractional goal programming (MOFGP) procedure is considered as the main approach of the study to be accomplished by several other single and multi-objective linear and fractional programming models. The results show that the FP models are more significant to contribute in assessing the sustainability indicators compared to the LP models, and the MOFGP solution is considered better, compared to the single objective FP solutions. The results will be illustrated quantitatively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • Alizadeh A, Kamali Gh (2007) Crops water requirements in Iran. Emam Reza University Press, Mashdad (in Persian)

    Google Scholar 

  • Al-zahrani MA, Ahmad AM (2004) Stochastic goal programming model for optimal blending of desalinated water with groundwater. Water Resour Manag 18:339–352

    Article  Google Scholar 

  • Amini Fasakhodi A (2009) Determining optimal cropping pattern in the east region farming lands of Isfahan (Baraan region), using multiple criteria goal programming approach. PhD thesis, University of Isfahan, Isfahan (in Persian)

  • Benli B, Kodal S (2003) A non-linear model for farm optimization with adequate and limited water supplies application to the South-east Anatolian Project (GAP) Region. Agric Water Manag 62:187–203

    Article  Google Scholar 

  • Bravo M, Gonzalez I (2009) Applying stochastic goal programming: a case study on water use planning. Eur J Oper Res 196(3):1123–1129

    Article  Google Scholar 

  • Caballero R, Hernández M (2006) Restoration of efficiency in a goal programming problem with linear fractional criteria. Eur J Oper Res 172(1):31–39

    Article  Google Scholar 

  • Chakraborty M, Gupta S (2002) Fuzzy mathematical programming for multi-objective linear fractional programming problem. Fuzzy Sets Syst 125:335–342

    Article  Google Scholar 

  • Charnes A, Cooper WW (1962) Programming with linear fractional functionals. Nav Res Logist Q 9:181–186

    Article  Google Scholar 

  • Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2:429–444

    Article  Google Scholar 

  • Craven BD (1988) Fractional programming. Heldermann, Berlin

    Google Scholar 

  • Farshi A, Shariati M, Jarollahi R, Ghaemi M, Shahabifar M, Tavallaei MM (1997) Estimation of main farming and gardening crops water requirements in Iran (vol. 1: Farming crops). Soil and Water Research Institute (SWRI) of Agricultural Ministry. Agricultural Education Press, Karaj (in Persian)

    Google Scholar 

  • Goedhart MH, Spronk J (1995) Financial planning with fractional goals, Theory and Methodology. Eur J Oper Res 82:111–124

    Article  Google Scholar 

  • Gómez T, Hernández M, Len MA, Caballero R (2006) A forest planning problem solved via a linear fractional goal programming model. For Ecol Manag 227:79–88

    Article  Google Scholar 

  • Haouari M, Azaiez MN (2001) Optimal cropping patterns under water deficits. Eur J Oper Res 130:133–146

    Article  Google Scholar 

  • Kilic M, Anac S (2010) Multi-objective planning model for large scale irrigation systems: method and application. Water Resour Manage. doi:10.1007/s11269-010-9601-4

    Google Scholar 

  • Kornbluth JSH, Steuer RE (1981) Goal programming with linear fractional criteria. Eur J Oper Res 8:58–65

    Article  Google Scholar 

  • Lara P, Stancu-Minasian I (1999) Fractional programming: a tool for the assessment of sustainability. Agric Syst 62:131–141

    Article  Google Scholar 

  • Liu Y, Yu Y, Guo H, Yang P (2009) Optimal land-use management for surface source water protection under uncertainty: a case study of Songhuaba watershed (Southwestern China). Water Resour Manag 23:2069–2083

    Article  Google Scholar 

  • Mainuddin M, Gupta AD, Onta PR (1997) Optimal crop planning model for an existing groundwater irrigation project in Thailand. Agric Water Manag 33:43–62

    Article  Google Scholar 

  • Mariolakos I (2007) Water resources management in the framework of sustainable development. Desalination 213:147–151

    Article  Google Scholar 

  • Ministry of Jihad-E-Agriculture (2007) The cost of main agricultural crops production (farming questionnaire). Office of Statistics and Information Technologies, Tehran, Iran (in Persian)

    Google Scholar 

  • Montazar A, Riazi H, Behbahani SM (2010) Conjunctive water use planning in an irrigation command area. Water Resour Manag 24:577–596

    Article  Google Scholar 

  • Monteith JL (1990) Can sustainability be quantified? Indian J Dryland Agric Res Dev 5(1):1–5

    Google Scholar 

  • Onta PR, Gupta AD, Paudyal GN (1991) Integrated irrigation development planning by multiobjectives optimization. Int J Water Resour Dev 7:185–193

    Article  Google Scholar 

  • Raju KS, Kumar DN (1999) Multicriterion decision making in irrigation planning. Agric Syst 62:117–129

    Article  Google Scholar 

  • Regional Water Organization of Isfahan (RWOI) (2006) The report of groundwater studies of Kouhpayeh-Segzi hydrologic unit. Office of Groundwater Studies, Isfshsn (in Persian)

    Google Scholar 

  • Regional Water Organization of Isfahan (RWOI) (2007a) Aquiferous water level studies of the Kouhpayeh-Segzi hydrologic unit. Office of Water Resources Fundamental Studies, Isfshsn (in Persian)

    Google Scholar 

  • Regional Water Organization of Isfahan (RWOI) (2007b) Mirab-E-Zayanderoud Corporation. The surface water resources daily records database (in Persian)

  • Sahoo B, Lohani AK, Sahu RK (2006) Fuzzy multiobjective and linear programming based management models for optimal land–water–crop system planning. Water Resour Manag 20:931–948

    Article  Google Scholar 

  • Sarker R, Quaddus M (2002) Modelling a nationwide crop planning problem using a multiple criteria decision making tool. Comput Ind Eng 42(2–4):541–553

    Article  Google Scholar 

  • Sethi LN, Kumar DN, Panda SN, Mal BC (2002) Optimal crop planning and conjunctive use of water resources in a coastal river basin. Water Resour Manag 16:145–169

    Article  Google Scholar 

  • Sethi LN, Panda SN, Nayak MK (2006) Optimal crop planning and water resources allocation in a coastal groundwater basin, Orissa, India. Agric Water Manag 83:209–220

    Article  Google Scholar 

  • Shangguan Z, Shao M, Horton R, Lei T, Qin L, Ma J (2002) A model for regional optimal allocation of irrigation water resources under deficit irrigation and its applications. Agric Water Manag 52:139–154

    Article  Google Scholar 

  • Sharma DK, Jana RK (2009) Fuzzy goal programming based genetic algorithm approach to nutrient management for rice crop planning. Int J Prod Econ 121:224–232

    Article  Google Scholar 

  • Sogreah Ingéneries Consultant (1974) Amenagement de la plaine d’ Esfshsn; etude de developpment agricole de la plaine d’ Esfahan. Organisation de l’ eau de la region Esfahan (in French)

  • Stancu-Minasian IM, Pop B (2003) On a fuzzy set approach to solving multiple objective linear fractional programming problem. Fuzzy Sets Syst 134:397–405

    Article  Google Scholar 

  • Tsakiris G, Spiliotis M (2006) Cropping pattern planning under water supply from multiple sources. Irrig Drain Syst 20:57–68

    Article  Google Scholar 

  • Vivekanandan N, Viswanathan K, Gupta S (2009) Optimization of cropping pattern using goal programming approach. Opsearch 46(3):259–274

    Article  Google Scholar 

  • World Bank (1992) World development report (development and the environment). Oxford University Press, UK

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Geography, Faculty of Humanities, University of Isfahan, Isfahan, Iran

    Abbas Amini Fasakhodi & Seyed Hedayatollah Nouri

  2. Eawag, Swiss Federal Institute of Aquatic Science and Technology, 8600, Duebendorf, Switzerland

    Manouchehr Amini

Authors
  1. Abbas Amini Fasakhodi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Seyed Hedayatollah Nouri
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Manouchehr Amini
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abbas Amini Fasakhodi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Amini Fasakhodi, A., Nouri, S.H. & Amini, M. Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach. Water Resour Manage 24, 4639–4657 (2010). https://doi.org/10.1007/s11269-010-9683-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-010-9683-z

Keywords

Search

Navigation