Technical Papers
Oct 31, 2020

Application of Random Effects Nonlinear Model for Analyzing Motorized and Nonmotorized Traffic Safety Performance

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 147, Issue 1

Abstract

In this paper, we investigated the influence of the cross-sectional characteristics of bicycle lanes on motorized and nonmotorized traffic safety. The safety effects of bicycle lanes with different widths were assessed through the estimation of safety performance functions (SPFs) and crash modification factors (CMFs). Four different types of crash prediction models [i.e., generalized linear model (GLM), random effects GLM, generalized nonlinear model (GNM), and random effects GNM] were examined to develop more reliable SPFs. The results indicated that the random effects GNMs provided the most reliable estimates. The goodness of fit was higher for the GNMs than for the GLMs because of the nonlinear relationship between the width of the bicycle lanes and the crash rates. In addition, the random effects models indicated better performance than the GLMs and GNMs. The results indicated that the installation of bicycle lanes is an effective safety measure to reduce four different types of crashes in general. The results of the estimated CMFs using the random effects GNMs indicated that the safety effects of bicycle lanes had nonlinear variations based on different widths. In general, the installation of bicycle lanes with widths of 1.5–1.8 m (5–6 ft) was most effective for reducing motorized crashes, whereas bicycle lanes with widths of 1.8–2.1 m (6–7 ft) were more appropriate for reducing nonmotorized crashes. According to the findings of this study, specific guidance on minimum bicycle lane widths for various roadway characteristics, traffic flows, and roadway types based on empirical evidence regarding traffic safety can be provided.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all of the data, models, or code that support the findings of this study are available from the corresponding author on reasonable request.

Acknowledgments

This study was supported by the project titled “Development of Port Risk Prediction and Intelligent Port Safety Management Technologies,” funded by the Ministry of Oceans and Fisheries, Korea (20190399-08). All of the opinions and results are solely those of the authors.

References

AASHTO. 2010. Highway safety manual. Washington, DC: AASHTO.
AASHTO. 2012. Guide for the development of bicycle facilities. Washington, DC: AASHTO.
Abdel-Aty, M., J. Lee, C. Siddiqui, and K. Choi. 2013. “Geographical unit based analysis in the context of transportation safety planning.” Transp. Res. Part A: Policy Pract. 49 (Mar): 62–75. https://doi.org/10.1016/j.tra.2013.01.030.
Abdel-Aty, M., J. Park, J. H. Wang, and M. Abuzwidah. 2016. Validation and application of highway safety manual (part D) and developing Florida CMF manual, phase 2. Tallahassee, FL: Florida DOT.
Aguero-Valverde, J. 2013. “Full Bayes Poisson gamma, Poisson lognormal, and zero inflated random effects models: Comparing the precision of crash frequency estimates.” Accid. Anal. Prev. 50 (Jan): 289–297. https://doi.org/10.1016/j.aap.2012.04.019.
Anastasopoulos, P. C., and F. L. Mannering. 2009. “A note on modeling vehicle accident frequencies with random-parameters count models.” Accid. Anal. Prev. 41 (1): 153–159. https://doi.org/10.1016/j.aap.2008.10.005.
Bahar, G. 2010. Methodology for the development and inclusion of crash modification factors in the first edition of the highway safety manual. Washington, DC: Transportation Research Board.
Barua, S., K. El-Basyouny, and M. T. Islam. 2015. “Effects of spatial correlation in random parameters collision count-data models.” Anal. Methods Accid. Res. 5 (Jan): 28–42. https://doi.org/10.1016/j.amar.2015.02.001.
Bhat, C. R., K. Born, R. Sidharthan, and P. C. Bhat. 2014. “A count data model with endogenous covariates: Formulation and application to roadway crash frequency at intersections.” Anal. Methods Accid. Res. 1 (Jan): 53–71. https://doi.org/10.1016/j.amar.2013.10.001.
Brunson, C., A. Getman, S. Hostetter, and R. Viola. 2017. “Left-turn pedestrian and bicycle crash study.” In Proc., 96th Annual Meeting of the Transportation Research Board. Washington, DC: Transportation Research Board.
Carter, D., R. Srinivasan, F. Gross, and F. Council. 2012. Recommended protocols for developing crash modification factors. Washington, DC: Transportation Research Board.
Chen, E., and A. P. Tarko. 2014. “Modeling safety of highway work zones with random parameters and random effects models.” Anal. Methods Accid. Res. 1 (Jan): 86–95. https://doi.org/10.1016/j.amar.2013.10.003.
Chen, L., C. Chen, R. Srinivasan, C. E. McKnight, R. Ewing, and M. Roe. 2012. “Evaluating the safety effects of bicycle lanes in New York City.” Am. J. Public Health 102 (6): 1120–1127. https://doi.org/10.2105/AJPH.2011.300319.
Chin, H. C., and M. A. Quddus. 2003. “Applying the random effect negative binomial model to examine traffic accident occurrence at signalized intersections.” Accid. Anal. Prev. 35 (2): 253–259. https://doi.org/10.1016/S0001-4575(02)00003-9.
Dumbaugh, E., and W. Li. 2010. “Designing for the safety of pedestrians, cyclists, and motorists in urban environments.” J. Am. Plann. Assoc. 77 (1): 69–88. https://doi.org/10.1080/01944363.2011.536101.
Feiveson, A. H. 1999. Explanation of the delta method. College Station, TX: StataCorp.
Fowler, M., and G. Koorey. 2006. “The effects of the pages road cycle lane on cyclist safety and traffic flow operations.” In Proc., IPENZ Transportation Group Technical Conf. Wellington, New Zealand: Transportation Group New Zealand.
Gross, F., B. Persaud, and C. Lyon. 2010. A guide to developing quality crash modification factors. Washington, DC: Federal Highway Administration.
Harkey, D. L., et al. 2008. Accident modification factors for traffic engineering and ITS improvements. Washington, DC: Transportation Research Board.
Hauer, E. 2004. “Statistical road safety modeling.” Transp. Res. Rec. 1897 (1): 81–87. https://doi.org/10.3141/1897-11.
Hauer, E., F. Council, and Y. Mohammedshah. 2004. “Safety models for urban four-lane undivided road segments.” Transp. Res. Rec. 1897 (1): 96–105. https://doi.org/10.3141/1897-13.
Hausman, J. A., B. H. Hall, and Z. Griliches. 1984. Econometric models for count data with an application to the patents-R&D relationship. Cambridge, MA: National Bureau of Economic Research.
Huang, H., M. Abdel-Aty, and A. Darwiche. 2010. “County-level crash risk analysis in Florida: Bayesian spatial modeling.” Transp. Res. Rec. 2148 (1): 27–37. https://doi.org/10.3141/2148-04.
Kondo, M. C., C. Morrison, E. Guerra, E. J. Kaufman, and D. J. Wiebe. 2018. “Where do bike lanes work best? A Bayesian spatial model of bicycle lanes and bicycle crashes.” Saf. Sci. 103 (Mar): 225–233. https://doi.org/10.1016/j.ssci.2017.12.002.
Lao, Y., G. Zhang, Y. Wang, and J. Milton. 2014. “Generalized nonlinear models for rear-end crash risk analysis.” Accid. Anal. Prev. 62 (Jan): 9–16. https://doi.org/10.1016/j.aap.2013.09.004.
Lee, C., M. Abdel-Aty, J. Park, and J. H. Wang. 2015. “Development of crash modification factors for changing lane width on roadway segments using generalized nonlinear models.” Accid. Anal. Prev. 76 (Mar): 83–91. https://doi.org/10.1016/j.aap.2015.01.007.
Lee, J., and M. Abdel-Aty. 2018. “Macro-level analysis of bicycle safety: Focusing on the characteristics of both crash location and residence.” Int. J. Sustainable Transp. 12 (8): 553–560. https://doi.org/10.1080/15568318.2017.1407973.
Levine, N., K. E. Kim, and L. H. Nitz. 1995. “Spatial analysis of Honolulu motor vehicle crashes. II: Zonal generators.” Accid. Anal. Prev. 27 (5): 675–685. https://doi.org/10.1016/0001-4575(95)00018-U.
Lord, D., and J. Bonneson. 2007. “Development of accident modification factors for rural frontage road segments in Texas.” Transp. Res. Rec. 2023 (1): 20–27. https://doi.org/10.3141/2023-03.
Lord, D., and F. Mannering. 2010. “The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives.” Transp. Res. Part A: Policy Pract. 44 (5): 291–305.
Lusk, A. C., P. G. Furth, P. Morency, L. F. Miranda-Moreno, W. C. Willett, and J. T. Dennerlein. 2011. “Risk of injury for bicycling on cycle tracks versus in the street.” Injury Prev. 17 (2): 131–135. https://doi.org/10.1136/ip.2010.028696.
Mannering, F. L., V. Shankar, and C. R. Bhat. 2016. “Unobserved heterogeneity and the statistical analysis of highway accident data.” Anal. Methods Accid. Res. 11 (Sep): 1–16. https://doi.org/10.1016/j.amar.2016.04.001.
Mitra, S., and S. Washington. 2012. “On the significance of omitted variables in intersection crash modeling.” Accid. Anal. Prev. 49 (Nov): 439–448. https://doi.org/10.1016/j.aap.2012.03.014.
Naznin, F., G. Currie, D. Logan, and M. Sarvi. 2016. “Exploring causes of tram-involved crashes using a random effects negative binomial model.” In Proc., Transportation Research Board 95th Annual Meeting. Washington, DC: Transportation Research Board.
NHTSA (National Highway Traffic Safety Administration). 2018. Traffic safety facts, 2016 data: Bicyclists and other cyclists. Washington, DC: USDOT.
Nosal, T., and L. F. Miranda-Moreno. 2012. “Cycle-tracks, bicycle lanes, and on-street cycling in Montreal, Canada: A preliminary comparison of the cyclist injury risk.” In Proc., Transportation Research Board 91st Annual Meeting. Washington, DC: Transportation Research Board.
Oehlert, G. W. 1992. “A note on the delta method.” Am. Statistician 46 (1): 27–29.
Osama, A., and T. Sayed. 2017. “Evaluating the impact of socio-economics, land use, built environment and road facility on cyclist safety.” In Proc., 96th Annual Meeting of the Transportation Research Board. Washington, DC: Transportation Research Board.
Park, B. J., D. Lord, and C. Lee. 2014. “Finite mixture modeling for vehicle crash data with application to hotspot identification.” Accid. Anal. Prev. 71 (Oct): 319–326. https://doi.org/10.1016/j.aap.2014.05.030.
Park, B. J., D. Lord, and L. Wu. 2016. “Finite mixture modeling approach for developing crash modification factors in highway safety analysis.” Accid. Anal. Prev. 97 (Dec): 274–287. https://doi.org/10.1016/j.aap.2016.10.023.
Park, J., and M. Abdel-Aty. 2015a. “Assessing the safety effects of multiple roadside treatments using parametric and nonparametric approaches.” Accid. Anal. Prev. 83 (Oct): 203–213. https://doi.org/10.1016/j.aap.2015.07.008.
Park, J., and M. Abdel-Aty. 2015b. “Development of adjustment functions to assess combined safety effects of multiple treatments on rural two-lane roadways.” Accid. Anal. Prev. 75 (Feb): 310–319. https://doi.org/10.1016/j.aap.2014.12.012.
Park, J., and M. Abdel-Aty. 2016. “Evaluation of safety effectiveness of multiple cross sectional features on urban arterials.” Accid. Anal. Prev. 92 (Jul): 245–255. https://doi.org/10.1016/j.aap.2016.04.017.
Park, J., M. Abdel-Aty, and J. Lee. 2019. “School zone safety modeling in countermeasure evaluation and decision.” Transportmetrica A: Transp. Sci. 15 (2): 586–601. https://doi.org/10.1080/23249935.2018.1519646.
Park, J., M. Abdel-Aty, J. Lee, and C. Lee. 2015. “Developing crash modification functions to assess safety effects of adding bike lanes for urban arterials with different roadway and socio-economic characteristics.” Accid. Anal. Prev. 74 (Jan): 179–191. https://doi.org/10.1016/j.aap.2014.10.024.
Persaud, B., C. Lyon, and T. Nguyen. 1999. “Empirical bayes procedure for ranking sites for safety investigation by potential for safety improvement.” Transp. Res. Rec. 1665 (1): 7–12. https://doi.org/10.3141/1665-02.
Polachek, S. W., and B. J. Yoon. 1996. “Panel estimates of a two-tiered earnings frontier.” J. Appl. Econom. 11 (2): 169–178. https://doi.org/10.1002/(SICI)1099-1255(199603)11:2%3C169::AID-JAE373%3E3.0.CO;2-.
Reynolds, C. C., M. A. Harris, K. Teschke, P. A. Cripton, and M. Winters. 2009. “The impact of transportation infrastructure on bicycling injuries and crashes: A review of the literature.” Environ. Health 8 (1): 47. https://doi.org/10.1186/1476-069X-8-47.
Rice, J. 1994. Mathematical statistics and data analysis. 2nd ed. Berkeley, CA: Duxbury Press.
Robartes, E., and T. D. Chen. 2017. “Virginia automobile and bicycle crash safety analysis.” In Proc., 96th Annual Meeting of the Transportation Research Board. Washington, DC: Transportation Research Board.
Sadek, A. W., A. S. Dickason, and J. Kaplan. 2007. “Effectiveness of green, high-visibility bike lane and crossing treatment.” In Proc., Transportation Research Board 86th Annual Meeting. Washington, DC: Transportation Research Board.
Shankar, V., R. Albin, J. Milton, and F. Mannering. 1998. “Evaluating median crossover likelihoods with clustered accident counts: An empirical inquiry using the random effects negative binomial model.” Transp. Res. Rec. 1635 (1): 44–48. https://doi.org/10.3141/1635-06.
Srinivasan, R., J. Baek, and F. Council. 2010. “Safety evaluation of transverse rumble strips on approaches to stop-controlled intersections in rural areas.” J. Transp. Saf. Secur. 2 (3): 261–278. https://doi.org/10.1080/19439962.2010.508571.
Torres-Reyna, O. 2007. Panel data analysis fixed and random effects using Stata (version 4.2). Princeton, NJ: Princeton Univ.
Venkataraman, N., G. Ulfarsson, V. Shankar, J. Oh, and M. Park. 2011. “Model of relationship between interstate crash occurrence and geometrics: Exploratory insights from random parameter negative binomial approach.” Transp. Res. Rec. 2236 (1): 41–48. https://doi.org/10.3141/2236-05.
Wang, L., H. Zhong, W. Ma, M. Abdel-Aty, and J. Park. 2020. “How many crashes can connected vehicle and automated vehicle technologies prevent: A meta-analysis.” Accid. Anal. Prev. 136 (Mar): 105299. https://doi.org/10.1016/j.aap.2019.105299.
Washington, S., I. van Schalkwyk, D. You, K. Shin, and J. P. Samuelson. 2010. Plansafe: Forecasting the safety impacts of socio-demographic changes and safety countermeasures. Washington, DC: Transportation Research Board.
Wu, L., D. Lord, and Y. Zou. 2015. “Validation of crash modification factors derived from cross-sectional studies with regression models.” Transp. Res. Rec. 2514 (1): 88–96. https://doi.org/10.3141/2514-10.
Yu, R., M. Abdel-Aty, and M. Ahmed. 2013. “Bayesian random effect models incorporating real-time weather and traffic data to investigate mountainous freeway hazardous factors.” Accid. Anal. Prev. 50 (Jan): 371–376. https://doi.org/10.1016/j.aap.2012.05.011.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 147Issue 1January 2021

History

Received: Mar 31, 2019
Accepted: Sep 14, 2020
Published online: Oct 31, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 31, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Juneyoung Park, Ph.D., Aff.M.ASCE [email protected]
Assistant Professor, Dept. of Transportation and Logistics Engineering, Hanyang Univ., 55 Hanyangdaehak-ro, Sangnok, Ansan, Gyeonggi-do 15588, South Korea (corresponding author). Email: [email protected]
Mohamed Abdel-Aty, Ph.D., F.ASCE [email protected]
P.E.
Professor and Chair, Dept. of Civil, Environmental and Construction Engineering, Univ. of Central Florida, 12800 Pegasus Dr., Suite 211, Orlando, FL 32816. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share