Farm Power and Machinery Distribution in Iran: Fuzzy Analytical Hierarchy Process (FAHP) and Weight Restriction Data Envelopment Analysis (WR-DEA) Models

Authors
1 Department of Mechanical Engineering of Biosystems, Jahrom University, P. O. BOX: 74135–111, Jahrom, Islamic Republic of Iran.
2 Czech University of Life Sciences Prague, Faculty of Environmental Sciences, Prague, Czech Republic.
3 Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Islamic Republic of Iran.
Abstract
In Iran, allocating tractors and agricultural machinery to regions that have different characteristics has been a challenge. This study was carried out in order to develop an optimal and practical model for distribution of agricultural machinery throughout the country. Gini coefficient was used in order to investigate whether current status of tractor distribution is suitable. This coefficient confirmed that the current tractor power distribution is not appropriate since there were no relationships between Gini coefficient of distributed machinery power and crop production or farm area. Accordingly, two main techniques were applied to develop a suitable agricultural machinery distribution pattern; i.e. a Fuzzy Analytical Hierarchy Process (FAHP) and a Weight Restriction Data Envelopment analysis (WR-DEA) technique. A power distribution category was defined in order to show qualitatively how much machinery power should be sent to each province. The outputs of both FAHP and WR-DEA models showed that three and nine provinces need ‘much more power’ and ‘more power’, respectively, while four and three provinces need ‘absolutely no more power’ and are ‘currently suitable’, respectively. The sensitivity analysis revealed that none of the developed models was sensitive to the weights defined by a panel of experts. The similarity of the results obtained from both models implies that the provided agricultural machinery distribution pattern is reliable and can be used in the country.

Keywords

Subjects


1. Amjadi, A. and Chizari, A. H. 2006. The Status of Agricultural Mechanization in Iran. Agric. Econ. Dev. 14(55): 155-181. (in Persian)
2. Azadi, H., van den Berg, J., Shahvali, M. and Hosseininia, G. 2009. Sustainable Rangeland Management Using Fuzzy Logic: A Case Study in Southwest Iran. Agr. Ecosys. Environ., 131(3&4): 193-200.
3. Foster, J. E. and Wolfson, M. 2010. Polarization and the Decline of the Middle Class: Canada and the US. J. Econ. Inequal., 8: 247-273.
4. Fukuyama, H. and Mirdehghan, S. M. 2012. Identifying the Efficiency Status in Network DEA. Eur. J. Oper. Res., 22: 85-92.
5. Fusco, A., Guio, A. C. and Marlier, E. 2010. Chracterizing the Income Poor and the Materially Deprived in European Countries. In: “Eurostat Statistics Books: Income and Living Conditions in Europe”, (Eds.): Atkinson, A. B. and Marlier, E. Publication Office of the European Union, Luxembourg.
6. Ghadiryanfar, M., Keyhani, A., Akram, A. and Rafiee, A. 2009. A Pattern for Power Distribution Based on Tractor Demand in Iran. Agric. Eng. Int.: CIGR J. Vol. XI. July 2009.
7. Iran Meteorological Organization. 2015. Annual Precipitation Report. http://www.weather.ir/, Accessed November 2015.
8. Ji, A., Liu, H., Qiu H. and Lin, H. 2015. Data Envelopment Analysis with Interactive Variables, Manag. Dec., 53(10): 2390-2406.
9. Mirdehghan, S. M., Nazaari A., M. and Vakili, J. 2015. Relations among Technical, Cost and Revenue Efficiencies in Data Envelopment Analysis. IAENG Int. J. App. Math., 45(4): 249-258.
10. Ministry of Jihad-e-Keshavarzi. 2014. Annual Agricultural Statistics. Department of Agronomy. www. maj. ir/, Accessed January 2014.
11. Ministry of Jihad-e-Keshavarzi, AMDC. 2011. Agricultural Mechanization Development Center Report: Mechanization Development in Iran. http://ajmdc.ir/DesktopModules/Articles/ArticlesView.aspx?TabID=1&Site=AjmdcPortal&Lang=fa-IR&ItemID=23&mid=14639, Accessed May 2013.
12. Mottaleb, K. A., Krupnik, T. J. and Erenstein, O. 2016. Factors Associated with Small-Scale Agricultural Machinery Adoption in Bangladesh: Census Findings. J. Rur. Stu., 46: 155-168.
13. Najafi, B. and Torabi Dastgerduei, S. 2015. Optimization of Machinery Use on Farms with Emphasis on Timeliness Costs. J. Agr. Sci. Tech., 17: 533-541
14. Olaoye, J. O. and Rotimi, A. O. 2010. Measurement of Agricultural Mechanization Index and Analysis of Agricultural Productivity of Farm Settlements in Southwest Nigeria. Agric. Eng. Int.: CIGR J., 12(1): 125-134.
15. Podinovski, V.V. 2016. Optimal Weights in DEA Models with Weight Restrictions. Eur. J. Oper. Res., 254: 916-924
16. Rasooli Sharabiani, V. and Ranjbar, I. 2008. Determination of the Degree, Level and Capacity Indices for Agricultural Mechanization in Sarab Region. J. Ag. Sci. Tech., 10: 215-223.
17. Saaty, T. L. 1980. The Analytical Hierarchy Processes. McGraw Hill, New York.
18. Sadatinejad, S.J., Shayannejad, M. and Honarbakhsh, A. 2010. Investigation of the Efficiency of the Fuzzy Regression Method in Reconstructing Monthly Discharge Data of Hydrometric Stations in Great Karoon River Basin. J. Agr. Sci. Tech., 12(1): 111-119.
19. Singh, G. 2006. Estimation of a Mechanization Index and Its Impact on Production and Economic Factors: A Case Study in India. Biosys. Eng., 93(1): 99-106.
20. Tabatabaeefar, A. and Omid, M. 2005. Current Status of Iranian Agricultural Mechanization. J. Agr. Soc. Sci., 1(2): 196-201.
21. Tiwari, D. N., Loof, R. and Paudyal, G. N. 1999. Environmental-Economic Decision-Making in Lowland Irrigated Agriculture Using Multi-Criteria Analysis Techniques. Agric. Sys., 60: 99-112.
22. Tzeng, G. H., Chiang, C. H. and Li, C. W. 2007. Evaluating Intertwined Effects in e-Learning Programs: A Novel Hybrid MCDM Model Based on Factor Analysis and DEMATEL. Exp. Sys. Appl., 32(4): 1028-1044.
23. Verma, S. R. 2012. Impact of Agricultural Mechanization on Production, Productivity, Cropping Intensity Income Generation and Employment of Labor. agricoop.nic.in/Farm%20Mech.%20PDF/05024-08.pdf, Accessed March 2011.
24. Zadeh, L. 1965. Fuzzy Sets. Info. Cont., 8: 338-353.
25. Zarafshani, K., Ghasemi, R., Houshyar, E., Ghanbari, R.,Van Passel, S. and Azadi, H. 2017. Canola Adoption Enhancement in Western Iran. J. Agr. Sci. Tech., 19: 47-58.