Skip to main content
Top
Published in: BMC Public Health 1/2017

Open Access 01-12-2017 | Research article

The relative efficiency of Iranian’s rural traffic police: a three-stage DEA model

Authors: Habibollah Rahimi, Hamid Soori, Seyed Saeed Hashemi Nazari, Seyed Abbas Motevalian, Adel Azar, Eskandar Momeni, Mehdi Javartani

Published in: BMC Public Health | Issue 1/2017

Login to get access

Abstract

Background

Road traffic Injuries (RTIs) as a health problem imposes governments to implement different interventions. Target achievement in this issue required effective and efficient measures. Efficiency evaluation of traffic police as one of the responsible administrators is necessary for resource management. Therefore, this study conducted to measure Iran’s rural traffic police efficiency.

Methods

This was an ecological study. To obtain pure efficiency score, three-stage DEA model was conducted with seven inputs and three output variables. At the first stage, crude efficiency score was measured with BCC-O model. Next, to extract the effects of socioeconomic, demographic, traffic count and road infrastructure as the environmental variables and statistical noise, the Stochastic Frontier Analysis (SFA) model was applied and the output values were modified according to similar environment and statistical noise conditions. Then, the pure efficiency score was measured using modified outputs and BCC-O model.

Results

In total, the efficiency score of 198 police stations from 24 provinces of 31 provinces were measured. The annual means (standard deviation) of damage, injury and fatal accidents were 247.7 (258.4), 184.9 (176.9), and 28.7 (19.5), respectively. Input averages were 5.9 (3.0) patrol teams, 0.5% (0.2) manpower proportions, 7.5 (2.9) patrol cars, 0.5 (1.3) motorcycles, 77,279.1 (46,794.7) penalties, 90.9 (2.8) cultural and educational activity score, 0.7 (2.4) speed cameras. The SFA model showed non-significant differences between police station performances and the most differences attributed to the environmental and random error. One-way main road, by road, traffic count and the number of household owning motorcycle had significant positive relations with inefficiency score. The length of freeway/highway and literacy rate variables had negative relations, significantly. Pure efficiency score was with mean of 0.95 and SD of 0.09.

Conclusions

Iran’s traffic police has potential opportunity to reduce RTIs. Adjusting police performance with environmental conditions is necessary. Capability of DEA method in setting quantitative targets for every station induces motivation for managers to reduce RTIs. Repetition of this study is recommended, annually.
Literature
1.
go back to reference Ali AI, Seiford LM. Translation invariance in data envelopment analysis. Oper Res Lett. 1990;9:403–5.CrossRef Ali AI, Seiford LM. Translation invariance in data envelopment analysis. Oper Res Lett. 1990;9:403–5.CrossRef
2.
go back to reference Andersen P, Petersen NC. A procedure for ranking efficient units in data envelopment analysis. Manag Sci. 1993;39:1261–4.CrossRef Andersen P, Petersen NC. A procedure for ranking efficient units in data envelopment analysis. Manag Sci. 1993;39:1261–4.CrossRef
3.
go back to reference Aristovnik A, Seljak J, Mencinger J. Relative efficiency of police directorates in Slovenia: A non-parametric analysis. Expert Syst Appl. 2013;40:820–7.CrossRef Aristovnik A, Seljak J, Mencinger J. Relative efficiency of police directorates in Slovenia: A non-parametric analysis. Expert Syst Appl. 2013;40:820–7.CrossRef
4.
go back to reference Aristovnik A, Seljak J, Mencinger J. Performance measurement of police forces at the local level: A non-parametric mathematical programming approach. Expert Syst Appl. 2014;41:1647–53.CrossRef Aristovnik A, Seljak J, Mencinger J. Performance measurement of police forces at the local level: A non-parametric mathematical programming approach. Expert Syst Appl. 2014;41:1647–53.CrossRef
5.
go back to reference Bahadorimonfared A, Soori H, Mehrabi Y, Delpisheh A, Esmaili A, Salehi M, Bakhtiyari M. Trends of fatal road traffic injuries in Iran (2004–2011). PLoS One. 2013;8:e65198.CrossRefPubMedPubMedCentral Bahadorimonfared A, Soori H, Mehrabi Y, Delpisheh A, Esmaili A, Salehi M, Bakhtiyari M. Trends of fatal road traffic injuries in Iran (2004–2011). PLoS One. 2013;8:e65198.CrossRefPubMedPubMedCentral
6.
go back to reference Banker RD, Charnes A, Cooper WW. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag Sci. 1984;30:1078–92.CrossRef Banker RD, Charnes A, Cooper WW. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag Sci. 1984;30:1078–92.CrossRef
7.
go back to reference Battese GE, Coelli TJ. A model for technical inefficiency effects in a stochastic frontier production function for panel data. Empir Econ. 1995;20:325–32.CrossRef Battese GE, Coelli TJ. A model for technical inefficiency effects in a stochastic frontier production function for panel data. Empir Econ. 1995;20:325–32.CrossRef
9.
go back to reference Charnes A, Cooper WW, Rhodes E. Measuring the efficiency of decision making units. Eur J Oper Res. 1978;2:429–44.CrossRef Charnes A, Cooper WW, Rhodes E. Measuring the efficiency of decision making units. Eur J Oper Res. 1978;2:429–44.CrossRef
10.
go back to reference Cooper, W. W., Seiford, L. M. & Tone, K. 2007. Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver Software. Second editions. Springer, ISBN, 387452818, 490. Cooper, W. W., Seiford, L. M. & Tone, K. 2007. Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver Software. Second editions. Springer, ISBN, 387452818, 490.
11.
go back to reference de Waard D, Rooijers T. An experimental study to evaluate the effectiveness of different methods and intensities of law enforcement on driving speed on motorways. Accid Anal Prev. 1994;26:751–65.CrossRefPubMed de Waard D, Rooijers T. An experimental study to evaluate the effectiveness of different methods and intensities of law enforcement on driving speed on motorways. Accid Anal Prev. 1994;26:751–65.CrossRefPubMed
12.
go back to reference Dula CS, Dwyer WO, Leverne G. Policing the drunk driver: Measuring law enforcement involvement in reducing alcohol-impaired driving. J Saf Res. 2007;38:267–72.CrossRef Dula CS, Dwyer WO, Leverne G. Policing the drunk driver: Measuring law enforcement involvement in reducing alcohol-impaired driving. J Saf Res. 2007;38:267–72.CrossRef
13.
go back to reference Egilmez G, Mcavoy D. Benchmarking road safety of US states: A DEA-based Malmquist productivity index approach. Accid Anal Prev. 2013;53:55–64.CrossRefPubMed Egilmez G, Mcavoy D. Benchmarking road safety of US states: A DEA-based Malmquist productivity index approach. Accid Anal Prev. 2013;53:55–64.CrossRefPubMed
14.
go back to reference Elvik R. Bedre trafikksikkerhet i Norge. TØI rapport. 1999;446 Elvik R. Bedre trafikksikkerhet i Norge. TØI rapport. 1999;446
15.
go back to reference Hermans E, Brijs T, Wets G, Vanhoof K. Benchmarking road safety: lessons to learn from a data envelopment analysis. Accid Anal Prev. 2009;41:174–82.CrossRefPubMed Hermans E, Brijs T, Wets G, Vanhoof K. Benchmarking road safety: lessons to learn from a data envelopment analysis. Accid Anal Prev. 2009;41:174–82.CrossRefPubMed
16.
go back to reference Last JM, ASSOCIATION, I. E. A dictionary of epidemiology: Oxford Univ Press; 2001. Last JM, ASSOCIATION, I. E. A dictionary of epidemiology: Oxford Univ Press; 2001.
17.
go back to reference Mathers C, Fat DM, Boerma JT. The global burden of disease: 2004 update: World Health Organization; 2008. Mathers C, Fat DM, Boerma JT. The global burden of disease: 2004 update: World Health Organization; 2008.
18.
go back to reference Nordfjærn T, Şimşekoğlu Ö, Rundmo T. Culture related to road traffic safety: a comparison of eight countries using two conceptualizations of culture. Accid Anal Prev. 2014;62:319–28.CrossRefPubMed Nordfjærn T, Şimşekoğlu Ö, Rundmo T. Culture related to road traffic safety: a comparison of eight countries using two conceptualizations of culture. Accid Anal Prev. 2014;62:319–28.CrossRefPubMed
19.
go back to reference Nordfjærn T, Şimşekoğlu Ö, Zavareh MF, Hezaveh AM, Mamdoohi AR, Rundmo T. Road traffic culture and personality traits related to traffic safety in Turkish and Iranian samples. Saf Sci. 2014;66:36–46.CrossRef Nordfjærn T, Şimşekoğlu Ö, Zavareh MF, Hezaveh AM, Mamdoohi AR, Rundmo T. Road traffic culture and personality traits related to traffic safety in Turkish and Iranian samples. Saf Sci. 2014;66:36–46.CrossRef
20.
go back to reference Qu Feng, Horrace, W C. & Wu, G. L. 2015. Wrong skewness and finite sample correction in parametric stochastic frontier models. Qu Feng, Horrace, W C. & Wu, G. L. 2015. Wrong skewness and finite sample correction in parametric stochastic frontier models.
21.
go back to reference Rahimi H, Hashemi Nazari SS, Soori H, Motevalian SA, Momeni E, Azar A. Traffic police effectiveness and efficiency evaluations, an overview of methodological considerations. Arch Trauma Res. 2017;6:e36927. Rahimi H, Hashemi Nazari SS, Soori H, Motevalian SA, Momeni E, Azar A. Traffic police effectiveness and efficiency evaluations, an overview of methodological considerations. Arch Trauma Res. 2017;6:e36927.
22.
go back to reference Simar L, Wilson PW. Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models. Manag Sci. 1998;44:49–61.CrossRef Simar L, Wilson PW. Sensitivity analysis of efficiency scores: How to bootstrap in nonparametric frontier models. Manag Sci. 1998;44:49–61.CrossRef
23.
go back to reference Walter L, Broughton J, Knowles J. The effects of increased police enforcement along a route in London. Accid Anal Prev. 2011;43:1219–27.CrossRefPubMed Walter L, Broughton J, Knowles J. The effects of increased police enforcement along a route in London. Accid Anal Prev. 2011;43:1219–27.CrossRefPubMed
24.
go back to reference Wong S, Sze N-N, Yip H, Loo BP, Hung W, Lo HK. Association between setting quantified road safety targets and road fatality reduction. Accid Anal Prev. 2006;38:997–1005.CrossRefPubMed Wong S, Sze N-N, Yip H, Loo BP, Hung W, Lo HK. Association between setting quantified road safety targets and road fatality reduction. Accid Anal Prev. 2006;38:997–1005.CrossRefPubMed
25.
go back to reference Yannis G, Papadimitriou E, Antoniou C. Impact of enforcement on traffic accidents and fatalities: A multivariate multilevel analysis. Saf Sci. 2008;46:738–50.CrossRef Yannis G, Papadimitriou E, Antoniou C. Impact of enforcement on traffic accidents and fatalities: A multivariate multilevel analysis. Saf Sci. 2008;46:738–50.CrossRef
Metadata
Title
The relative efficiency of Iranian’s rural traffic police: a three-stage DEA model
Authors
Habibollah Rahimi
Hamid Soori
Seyed Saeed Hashemi Nazari
Seyed Abbas Motevalian
Adel Azar
Eskandar Momeni
Mehdi Javartani
Publication date
01-12-2017
Publisher
BioMed Central
Published in
BMC Public Health / Issue 1/2017
Electronic ISSN: 1471-2458
DOI
https://doi.org/10.1186/s12889-017-4780-z

Other articles of this Issue 1/2017

BMC Public Health 1/2017 Go to the issue