Technical Papers
Feb 28, 2021

Spatial Multiresolution Analysis Approach to Identify Crash Hotspots and Estimate Crash Risk

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 147, Issue 5

Abstract

In this paper, we evaluate the performance of a spatial multiresolution analysis (SMA) method, that behaves like a variable bandwidth kernel density estimation (KDE) method, for hazardous road segments identification (HRSI) and crash risk estimation(expected number of crashes). The use of spatial analysis for HRSI is well documented in the literature, especially with KDE methods. The proposed SMA, which is based on the Haar wavelet transform, is similar to the KDE method with the additional benefit of allowing the bandwidth to be different at different road segments depending on how homogenous the segments are. Furthermore, the optimal bandwidth at each road segment is determined solely based on the data by minimizing an unbiased estimate of the mean square error for Poisson data called Poisson’s unbiased risk estimate (PURE). We compare SMA with the state-of-the-practice crash analysis method and the empirical Bayes (EB) method, in terms of their HRSI ability and their ability to predict future crashes. The results indicate that SMA may outperform EB, at least with the crash data of the entire Virginia interstate network used in this paper. The SMA is computationally fast, does not require any data other than crash counts and their location, and is implemented in an Excel spreadsheet freely available for download. Therefore, it can be used for quick large-scale network screening before a more complex analysis that complements crash counts with other crash explanatory variables, such as traffic volume, is used for selected areas of interest.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code generated or used during the study are available in a repository online in accordance with funder data retention policies. This can be found at the following link: https://github.com/johnsamer/Crash-Analysis-MHW-Sheet.

Acknowledgments

We would like to thank the reviewers for their constructive comments that contributed to the improvement of the manuscript.

References

AASHTO. 2010. Vol. 2 of Highway safety manual. Washington, DC: AASHTO.
Aguero-Valverde, J., and P. P. Jovanis. 2008. “Analysis of road crash frequency with spatial models.” Transp. Res. Rec. 2061 (1): 55–63. https://doi.org/10.3141/2061-07.
Aguero-Valverde, J., and P. P. Jovanis. 2010. “Spatial correlation in multilevel crash frequency models: Effects of different neighboring structures.” Transp. Res. Rec. 2165 (1): 21–32. https://doi.org/10.3141/2165-03.
Anderson, T. K. 2009. “Kernel density estimation and K-means clustering to profile road accident hotspots.” Accid. Anal. Prev. 41 (3): 359–364. https://doi.org/10.1016/j.aap.2008.12.014.
Barua, S., K. El-Basyouny, and M. T. Islam. 2016. “Multivariate random parameters collision count data models with spatial heterogeneity.” Anal. Methods Accid. Res. 9 (Mar): 1–15. https://doi.org/10.1016/j.amar.2015.11.002.
Bil, M., R. Andrasik, and Z. Janoska. 2013. “Identification of hazardous road locations of traffic accidents by means of kernel density estimation and cluster significance evaluation.” Accid. Anal. Prev. 55 (Jun): 265–273. https://doi.org/10.1016/j.aap.2013.03.003.
Cheng, W., G. S. Gill, R. Dasu, M. Xie, X. Jia, and J. Zhou. 2017. “Comparison of Multivariate Poisson lognormal spatial and temporal crash models to identify hot spots of intersections based on crash types.” Accid. Anal. Prev. 99 (Feb): 330–341. https://doi.org/10.1016/j.aap.2016.11.022.
Cheng, W., and S. P. Washington. 2005. “Experimental evaluation of hotspot identification methods.” Accid. Anal. Prev. 37 (5): 870–881. https://doi.org/10.1016/j.aap.2005.04.015.
Cheng, W., and S. P. Washington. 2008. “New criteria for evaluating methods of identifying hot spots.” Transp. Res. Rec. 2083 (1): 76–85. https://doi.org/10.3141/2083-09.
Chung, K., D. R. Ragland, S. Madanat, and S. Oh. 2009. “The continuous risk profile approach for the identification of high collision concentration locations on congested highways.” Transportation and traffic theory 2009: Golden jubilee, 463–480. Boston: Springer.
Dong, N., H. Huang, J. Lee, M. Gao, and M. Abdel-Aty. 2016. “Macroscopic hotspots identification: A Bayesian spatio-temporal interaction approach.” Accid. Anal. Prev. 92 (Jul): 256–264. https://doi.org/10.1016/j.aap.2016.04.001.
El-Basyouny, K., and T. Sayed. 2009. “Urban arterial accident prediction models with spatial effects.” Transp. Res. Rec. 2102 (1): 27–33. https://doi.org/10.3141/2102-04.
Elvik, R. 1997. “Evaluations of road accident blackspot treatment: A case of the iron law of evaluation studies?” Accid. Anal. Prev. 29 (2): 191–199.
Elvik, R. 2007. State-of-the-art approaches to road accident black spot management and safety analysis of road networks. Oslo: Institute of Transport Economics.
Elvik, R. 2008a. “The predictive validity of empirical Bayes estimates of road safety.” Accid. Anal. Prev. 40 (6): 1964–1969. https://doi.org/10.1016/j.aap.2008.07.007.
Elvik, R. 2008b. “A survey of operational definitions of hazardous road locations in some European countries.” Accid. Anal. Prev. 40 (6): 1830–1835. https://doi.org/10.1016/j.aap.2008.08.001.
Fawcett, L., J. Matthews, N. Thorpe, and K. Kremer. 2018. “A full Bayes approach to road safety hotspot identification with prediction validation.” In Proc., 97th the Annual Transportation Research Board Meeting. Washington, DC: Transportation Research Board.
Flahaut, B., M. Mouchart, E. San Martin, and I. Thomas. 2003. “The local spatial autocorrelation and the kernel method for identifying black zones: A comparative approach.” Accid. Anal. Prev. 35 (6): 991–1004. https://doi.org/10.1016/S0001-4575(02)00107-0.
Hauer, E. 1997. Observational before/after studies in road safety. Estimating the effect of highway and traffic engineering measures on road safety. Oxford, UK: Pergamon Press.
Hauer, E., D. Harwood, F. Council, and M. Griffith. 2002. “Estimating safety by the empirical Bayes method: A tutorial.” Transp. Res. Rec. 1784 (1): 126–131. https://doi.org/10.3141/1784-16.
Hirakawa, K., and P. J. Wolfe. 2012. “Skellam shrinkage: Wavelet-based intensity estimation for inhomogeneous Poisson data.” IEEE Trans. Inf. Theory 58 (2): 1080–1093. https://doi.org/10.1109/TIT.2011.2165933.
Huang, H., H. Chin, and M. Haque. 2009. “Empirical evaluation of alternative approaches in identifying crash hot spots: Naive ranking, empirical Bayes, and full Bayes methods.” Transp. Res. Rec. 2103 (1): 32–41. https://doi.org/10.3141/2103-05.
Huang, H., B. Song, P. Xu, Q. Zeng, J. Lee, and M. Abdel-Aty. 2016. “Macro and micro models for zonal crash prediction with application in hot zones identification.” J. Transp. Geogr. 54 (Jun): 248–256. https://doi.org/10.1016/j.jtrangeo.2016.06.012.
Jia, R., A. Khadka, and I. Kim. 2018. “Traffic crash analysis with point-of-interest spatial clustering.” Accid. Anal. Prev. 121 (Dec): 223–230. https://doi.org/10.1016/j.aap.2018.09.018.
Katicha, S. W., and G. W. Flintsch. 2018. “Multiscale vehicular expected crashes estimation with the unnormalized Haar wavelet transform and Poisson’s unbiased risk estimate.” J. Transp. Eng., Part A: Syst. 144 (8): 04018037. https://doi.org/10.1061/JTEPBS.0000160.
Khan, G., X. Qin, and D. A. Noyce. 2008. “Spatial analysis of weather crash patterns.” J. Transp. Eng. 134 (5): 191–202. https://doi.org/10.1061/(ASCE)0733-947X(2008)134:5(191).
Lee, D. 2013. “CARBayes: An R package for Bayesian spatial modeling with conditional autoregressive priors.” J. Stat. Software 55 (13): 1–24. https://doi.org/10.18637/jss.v055.i13.
Loo, B. P., S. Yao, and J. Wu. 2011. “Spatial point analysis of road crashes in Shanghai: A GIS-based network kernel density method.” In Proc., 19th Int. Conf. on Geoinformatics, 1–6. New York: IEEE.
Lord, D., and P. Y. J. Park. 2008. “Investigating the effects of the fixed and varying dispersion parameters of Poisson-gamma models on empirical Bayes estimates.” Accid. Anal. Prev. 40 (4): 1441–1457. https://doi.org/10.1016/j.aap.2008.03.014.
Luisier, F., C. Vonesch, T. Blu, and M. Unser. 2010. “Fast interscale denoising of Poisson-corrupted images.” Signal Process. 90 (2): 415–427. https://doi.org/10.1016/j.sigpro.2009.07.009.
Mannering, F. L., and C. R. Bhat. 2014. “Analytic methods in accident research: Methodological frontiers and future directions.” Anal. Methods Accid. Res. 1 (Jan): 1–22. https://doi.org/10.1016/j.amar.2013.09.001.
Miaou, S. P., and J. J. Song. 2005. “Bayesian ranking of sites for engineering safety improvements: Decision parameter, treatability concept, statistical criterion, and spatial dependence.” Accid. Anal. Prev. 37 (4): 699–720. https://doi.org/10.1016/j.aap.2005.03.012.
Montella, A. 2010. “A comparative analysis of hotspots identification methods.” Accid. Anal. Prev. 42 (2): 571–581. https://doi.org/10.1016/j.aap.2009.09.025.
Okabe, A., T. Satoh, and K. Sugihara. 2009. “A kernel density estimation method for networks, its computational method and GIS-based tool.” Int. J. Geogr. Inf. Sci. 23 (1): 7–32. https://doi.org/10.1080/13658810802475491.
O’Sullivan, D., and D. W. Wong. 2007. “A surface-based approach to measuring spatial segregation.” Geog. Anal. 39 (2): 147–168.
Park, B., 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.
Persaud, B., B. Lan, C. Lyon, and R. Bhim. 2010. “Comparison of empirical Bayes and full Bayes approaches for before-after road safety evaluations.” Accid. Anal. Prev. 42 (1): 38–43. https://doi.org/10.1016/j.aap.2009.06.028.
Qu, X., and Q. Meng. 2014. “A note on hotspot identification for urban expressways.” Saf. Sci. 66 (Jul): 87–91. https://doi.org/10.1016/j.ssci.2014.02.006.
Silverman, B. W. 2018. Density estimation for statistics and data analysis. Abingdon, UK: Routledge.
Thomas, I. 1996. “Spatial data aggregation: Exploratory analysis of road accidents.” Accid. Anal. Prev. 28 (2): 251–264. https://doi.org/10.1016/0001-4575(95)00067-4.
Xie, Z., and J. Yan. 2008. “Kernel density estimation of traffic accidents in network space.” Comput. Environ. Urban Syst. 32 (5): 396–406. https://doi.org/10.1016/j.compenvurbsys.2008.05.001.
Yu, H., P. Liu, J. Chen, and H. Wang. 2014. “Comparative analysis of the spatial analysis methods for hotspot identification.” Accid. Anal. Prev. 66 (May): 80–88. https://doi.org/10.1016/j.aap.2014.01.017.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 147Issue 5May 2021

History

Received: Dec 30, 2019
Accepted: Dec 22, 2020
Published online: Feb 28, 2021
Published in print: May 1, 2021
Discussion open until: Jul 28, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Research Scientist, Center for Sustainable Transportation Infrastructure, Virginia Tech Transportation Institute, Blacksburg, VA 24061 (corresponding author). ORCID: https://orcid.org/0000-0003-4149-6033. Email: [email protected]
Associate Professor, Dept. of Civil Engineering, Lebanese American Univ., P.O. Box 36, Byblos, Lebanon. ORCID: https://orcid.org/0000-0001-7260-2834. Email: [email protected]
Gerardo Flintsch, M.ASCE [email protected]
Director, Center for Sustainable Transportation Infrastructure, Virginia Tech Transportation Institute, Blacksburg, VA 24061; Professor, Charles E. Via, Jr., Dept. of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA 24061. 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