Measuring the efficiency of forest harvesting companies with undesirable outputs using data envelopment analysis (Case study: Guilan providence)

Document Type : Research Paper

Authors

1 Ph.D. student of Forestry, Faculty of Natural Resource, University of Guilan, I. R. Iran

2 Prof., Dept. of Forestry, Faculty of Natural Resource, University of Guilan, I. R. Iran

3 Prof., Dept. of mathematics, Faculty of Basic Sciences, Islamic Azad University of Rasht, I. R. Iran

Abstract

The purpose of this study was to measure the relative efficiency of forest harvesting processing companies in Guilan province by considering pollution as an undesirable output. For this purpose, data envelopment analysis (DEA) method was used to evaluate the efficiency. In order to conduct this research, data from 12 forest harvesting companies in Guilan province were collected during 10-year period (2007-2016). First, the variable reduction method was used to reduce the indicators and then the units were ranked using the super-efficiency method. The results show that due to the importance of undesirable output, a number of companies have good ranks in terms of efficiency despite their high adverse undesirable output (air pollution) are in a good position in terms of efficiency (Iran Wood Coating Company and Layl Forest Cooperative). Due to the existence of undesirable output (air pollution) in forest exploitation companies, it is possible to improve the performance of companies with high efficiency along with undesirable output by reducing the amount of pollution.

Keywords


Amirteimoori, A., Despotis Dimitris, K., & Kordrostami, S. (2014). Variable’s reduction in data envelopment analysis. Optimization: A Journal of Mathematical Programming and Operations Research, 63(5), 735-745.
Anderson, P., & Peterson, N.C. (1993). A procedure for ranking ancient units in data envelopment analysis. Management Science, 39(10), 1261-1264.
Azizi, J., Torkamani, J. (2002). Optimal forest utilization using Matad mathematical planning: A case study of Guilan province. Quarterly Journal of Agricultural Economics and Development. 10(39), 103-124.
Banker, R.D., Cooper W.W., Grifell-Tajté, E., Pastor J.T., Wilson P.W., Ley, E., & Lovell, C.A.K. (1994). Validation and generalization of DEA and its uses, TOP. An Official Journal of the Spanish Society of Statistics and Operations Research, 2(2), 249–314.
Chung, Y., & Fare, R. (1995). Productivity and undesirable outputs: A Directional Distance Function Approach. Microeconomics 9511002, University Library of Munich, Germany.
Dias, C.A., Arroja, L., Capela, I. (2007).  Carbon dioxide emissions from forest operations in Portuguese eucalypt and maritime pine stands. Scandinavian Journal of Forest Research, 22,422-432.
Cooper, W.W., Seiforad, L.M., & Tone, K. (2006). An Introduction to Data Envelopment Analysis and Its Uses. Springer, New York.
Fare, R., Grosskopf, S., Lovell, C.A.K., & Pasurka, C. (1989). Multilateral productivity comparisons when some outputs are undesirable: a nonparametric approach. The Review of Economics and Statistics, 71(1), 90–98.
Farrel, M., & Richards, J.G. (1986). Analysis of the reliability and validity of the kinetic communicator exercise device. Med Science Sports Exercise, 18, 44–49.
Heydarian, N., Mohammadi Limaei, S., & Amirteimoori, A., (2016). Efficiency evaluation of forest nurseries in north of Iran using Data Envelopment Analysis. Iranian Journal of Forest, 7(4), 557-570.
Kao, C., & Yang, Y. (1991). Measuring the efficiency of forest management. Forest science, 37(5), 1239-1252.
Kao, C., & Yang, Y. (1992). Reorganization of forest districts via efficiency measurement. European journal of operation research, 58(3), 356-362.
Kazemi Matin, R. (2011). Nonparametric methods of modeling undesirable outputs in DEA: approach to using the principle of poor accessibility. Journal of Operational Research in Its Applications, 3(30), 53-69.
Kuosmanen, T. (2005). Weak Disposability in Nonparametric Production analysis with Undesirable Outputs. American Journal of Agricultural Economics, 87, 1077-1082.
Malaii Boosari, J., Mohammadi Limaei, S., & Zadmirzaei, M. (2014). Determining allocative-economic efficiency of joint-stock company of Shafaroud Forest based on Data Envelopment Analysis (DEA) . Iranian Journal of Forest, 6(2), 156-165.
Mehregan, M.R. (2008). Quantitative models for evaluating the organizations' performance –DEA. Second Edition, University of Tehran Press, 173p.
Mohammadi Limaei, S. (2013). Efficiency of Iranian forest industry based on DEA models: Journal of Forestry Research, 24, 759–765.
Mohammadi Limaei, S. (2020). Efficiency analysis of forest management units considering economics and carbon dynamic: A data envelopment analysis (DEA) approach. Austrian Journal of forest science, 137(3), 199-222.
Seiforad, L.M., & Zhu, J. (2002). Modeling undesirable factors in efficiency evaluation.  European Journal of Operational Research, 142, 16–20.
Sporcic, M., Martinić, I., Landekić, M., & Lovrić, M. (2009).  Measuring Efficiency of Organizational Units in Forestry by Nonparametric Model, Croatian Journal of Forest Engineering. Journal for Theory and Application of Forestry Engineering,  30(1), 1-13.
Scheel, H. (2001). Undesirable outputs in efficiency valuations. European journal of operation research, 132(2), 400-410.
Shephard, R.W. (1970). Theory of cost and production functions. Princeton University Press, 322p.
Zadmirzaei, M., & Mohammadi Limaei., S. (2016). Applying the data envelopment analysis fundamental models for determining of relative efficiency of Mazandaran Wood and Paper Industry Company. Wood & Forest Science and Technology, 23(2), 1-20.
Zadmirzaei, M., Mohammadi Limaei, S., & Amirteimoori, A. (2018). Deterministic Scenario vs. Stochastic Scenario in Data Envelopment Analysis (DEA): A Case on Iranian Forest Management Units. International Journal of Science, Engineering and Management (IJSEM), 3(3), 5-9.
Zadmirzaei, M., Limaei, S.M., & Amirteimoori, A. )2019(. Measuring the relative performance of forest management units: a chance-constrained DEA model in the presence of the nondiscretionary factor. Canadian Journal of Forest Research, 49(7), 788-801.