Skip to main content
Intended for healthcare professionals
Restricted access
Research article
First published online January 1, 2012

Linear and Nonlinear Safety Intervention Models: Novel Methods Applied to Evaluation of Shoulder Rumble Strips

Abstract

Recent research has advocated the use of linear intervention models developed within a hierarchical full Bayes context to conduct road safety evaluations. These models acknowledge that the effects of a safety treatment (intervention) do not occur instantaneously but are spread over future time periods. Despite the demonstrated advantages of such models, the manner in which the implemented countermeasures affect safety at the treated locations according to their novelty, direct effects, and indirect effects is not completely understood. A novel nonlinear intervention model was proposed to better understand how safety countermeasures work. To demonstrate the proposed model's capabilities, linear and nonlinear (Koyck) models were applied to estimate the effectiveness of the installation of shoulder rumble strips on a number of highway segments in the province of British Columbia, Canada. In addition to providing the best fit, the nonlinear Koyck model provided valuable insight into the effectiveness of shoulder rumble strips. This model showed an immediate 24.9% reduction of off-road-right collisions after 1 year that decreased with time and a 19.2% reduction in collisions as a result of permanent treatment. Overall, the findings from this study can have a significant impact on the economic evaluation of safety programs and countermeasures.

Get full access to this article

View all access and purchase options for this article.

References

1. Aeron-Thomas A., and Hess S. Red-Light Cameras for the Prevention of Road Traffic Crashes. Cochrane Database of Systematic Reviews, No. 2, CD003862, 2005.
2. Wilson C., Willis C., Hendrikz J.K., and Bellamy N. Speed Enforcement Detection Devices for Preventing Road Traffic Injuries. Cochrane Database of Systematic Reviews, No. 2, CD004607, 2006.
3. Hauer E. Observational Before–After Studies in Road Safety: Estimating the Effect of Highway and Traffic Engineering Measures on Road Safety. Elsevier Science Ltd., Pergamon Press, Oxford, United Kingdom, 1997.
4. Hauer E., Harwood D.W., Council F.M., and Griffith M. S. Estimating Safety by the Empirical Bayes Method: A Tutorial. In Transportation Research Record: Journal of the Transportation Research Board, No. 1784, Transportation Research Board of the National Academies, Washington, D.C., 2002, pp. 126–131.
5. Sayed T., deLeur P., and Sawalha Z. Evaluating the Insurance Corporation of British Columbia Road-Safety Improvement Program. In Transportation Research Record: Journal of the Transportation Research Board, No. 1865, Transportation Research Board of the National Academies, Washington, D.C., 2004, pp. 57–63.
6. Persaud B.N., Lan B., Lyon C., and Bhim R. Comparison of Empirical Bayes and Full Bayes Approaches for Before-and-After Road Safety Evaluations. Presented at 88th Annual Meeting of the Transportation Research Board, Washington, D.C., 2009.
7. Carriquiry A., and Pawlovich M. From Empirical Bayes to Full Bayes: Methods for Analyzing Traffic Safety Data. Iowa Department of Transportation, Ames, 2005. http://www.dot.state.ia.us/crashanalysis/pdfs/eb_fb_comparison_whitepaper_october2004.pdf.
8. Aul N., and Davis G. A. Use of Propensity Score Matching Method and Hybrid Bayesian Method to Estimate Crash Modification Factors of Signal Installation. In Transportation Research Record: Journal of the Transportation Research Board, No. 1950, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 17–23.
9. Pawlovich M.D., Li W., Carriquiry A., and Welch T. M. Iowa's Experience with Road Diet Measures: Use of Bayesian Approach to Assess Impacts on Crash Frequencies and Crash Rates. In Transportation Research Record: Journal of the Transportation Research Board, No. 1953, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 163–171.
10. Li W., Carriquiry A., Pawlovich M., and Welch T. The Choice of Statistical Models in Road Safety Countermeasures Effectiveness Studies in Iowa. Accident Analysis and Prevention, Vol. 40, No. 4, 2008, pp. 1531–1542.
11. Lan B., Persaud B., Lyon C., and Bhim R. Validation of a Full Bayes Methodology for Observational Before–After Road Safety Studies and Application to Evaluation of Rural Signal Conversions. Accidents Analysis and Prevention, Vol. 41, No. 3, 2009, pp. 574–580.
12. El-Basyouny K., and Sayed T. Full Bayes Approach to Before-and-After Safety Evaluation with Matched Comparisons: Case Study of Stop-Sign In-Fill Program. In Transportation Research Record: Journal of the Transportation Research Board, No. 2148, Transportation Research Board of the National Academies, Washington, D.C., 2010, pp. 1–8.
13. El-Basyouny K., and Sayed T. A Multivariate Intervention Model with Random Parameters Among Matched Pairs for Before–After Safety Evaluation. Accident Analysis and Prevention, Vol. 43, No. 1, 2011, pp. 87–94.
14. Park E.S., Park J., and Lomax T. J. A Fully Bayesian Multivariate Approach to Before–After Safety Evaluation. Accident Analysis and Prevention, Vol. 42, No. 4, 2010, pp. 1118–1127.
15. Yanmaz-Tuzel O., and Ozbay K. A Comparative Full Bayesian Before-and-After Analysis and Application to Urban Road Safety Countermeasures in New Jersey. Accident Analysis and Prevention, Vol. 42, No. 6, 2010, pp. 2099–2107.
16. Koyck L. M. Distributed Lags and Investment Analysis. North-Holland, Amsterdam, Netherlands, 1954.
17. Judge G.G., Hill R.C., Griffiths W.E., Lutkepohl H., and Lee T. C. Introduction to the Theory and Practice of Econometrics, 2nd ed. John Wiley & Sons, Inc., New York, 1988.
18. Pankratz A. Forecasting with Dynamic Regression Models. John Wiley & Sons, Inc., New York, 1991.
19. Persaud B. N. Safety Migration, the Influence of Traffic Volumes, and Other Issues in Evaluating Safety Effectiveness: Some Findings on Conversion of Intersections to Multiway Stop Control. In Transportation Research Record 1068, TRB, National Research Council, Washington, D.C., 1986, pp. 108–114.
20. Elvik R. Sources of Uncertainty in Estimated Benefits of Road Safety Programmes. Accident Analysis and Prevention, Vol. 42, No. 6, 2010, pp. 2171–2178.
21. El-Basyouny K., and Sayed T. Measuring Safety Treatment Effects Using Full Bayes Non-Linear Safety Performance Intervention Functions. Accident Analysis and Prevention, Vol. 45, 2012, pp. 152–163.
22. El-Basyouny K., and Sayed T. Measuring Direct and Indirect Treatment Effects Using Safety Performance Intervention Functions. Safety Science, Vol. 50, No. 4, 2012, pp. 1125–1132.
23. Griffith M. S. Safety Evaluation of Rolled-In Continuous Shoulder Rumble Strips Installed on Freeways. In Transportation Research Record: Journal of the Transportation Research Board, No. 1665, TRB, National Research Council, Washington, D.C., 1999, pp. 28–34.
24. Cheng E.Y., Gonzalez E., and Christensen M. O. Application Evaluation of Rumble Strips on Highways. Utah Department of Transportation, Salt Lake City, 2001.
25. Marvin R.R., and Clark D. J. An Evaluation of Shoulder Rumble Strips in Montana. Montana Department of Transportation, Helena, 2003.
26. Smith E.B., and Ivan J. N. Evaluation of Safety Benefits and Potential Crash Migration Due to Shoulder Rumble Strip Installation on Connecticut Freeways. In Transportation Research Record: Journal of the Transportation Research Board, No. 1908, Transportation Research Board of the National Academies, Washington, D.C., 2005, pp. 104–113.
27. Gårder P. E., and Davies M. Safety Effect of Continuous Shoulder Rumble Strips on Rural Interstates in Maine. In Transportation Research Record: Journal of the Transportation Research Board, No. 1953, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 156–162.
28. Nambisan S.S., Dangeti M.R., Vanapalli V.K., and Singh A. K. Effectiveness of Continuous Shoulder Rumble Strips in Reducing Single-Vehicle Ran-Off-Roadway Crashes in Nevada. Proc., 2007 Mid-Continent Transportation Research Symposium, Iowa State University, Ames, 2007.
29. Patel R.B., Council F.M., and Griffith M. S. Estimating Safety Benefits of Shoulder Rumble Strips on Two-Lane Rural Highways in Minnesota: Empirical Bayes Observational Before-and-After Study. In Transportation Research Record: Journal of the Transportation Research Board, No. 2019, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 205–211.
30. Sayed T., deLeur P., and Pump J. Impact of Rumble Strips on Collision Reduction on Highways in British Columbia, Canada: Comprehensive Before-and-After Safety Study. In Transportation Research Record: Journal of the Transportation Research Board, No. 2148, Transportation Research Board of the National Academies, Washington, D.C., 2010, pp. 9–15.
31. Torbic D.J., Hutton J.M., Bokenkroger C.D., Bauer K.M., Donnell E.T., Lyon C., and Persaud B. Guidance on Design and Application of Rumble Strips. In Transportation Research Record: Journal of the Transportation Research Board, No. 2149, Transportation Research Board of the National Academies, Washington, D.C., 2010, pp. 59–69.
32. Aguero-Valverde J., and Jovanis P. P. Bayesian Multivariate Poisson Lognormal Models for Crash Severity Modeling and Site Ranking. In Transportation Research Record: Journal of the Transportation Research Board, No. 2136, Transportation Research Board of the National Academies, Washington, D.C., 2009, pp. 82–91.
33. El-Basyouny K., and Sayed T. Collision Prediction Models Using Multivariate Poisson–Lognormal Regression. Accident Analysis and Prevention, Vol. 41, No. 4, 2009, pp. 820–828.
34. El-Basyouny K., and Sayed T. Accident Prediction Models with Random Corridor Parameters. Accident Analysis and Prevention, Vol. 41, No. 5, 2009, pp. 1118–1123.
35. El-Basyouny K., and Sayed T. A. Urban Arterial Accident Prediction Models with Spatial Effects. In Transportation Research Record: Journal of the Transportation Research Board, No. 2102, Transportation Research Board of the National Academies, Washington, D.C., 2009, pp. 27–33.
36. El-Basyouny K., and Sayed T. A Method to Account for Outliers in the Development of Accident Prediction Models. Accident Analysis and Prevention, Vol. 42, No. 4, 2010, pp. 1266–1272.
37. Ma J., Kockelman K.M., and Damien P. A Multivariate Poisson–Lognormal Regression Model for Prediction of Crash Counts by Severity, Using Bayesian Methods. Accident Analysis and Prevention, Vol. 40, No. 3, 2008, pp. 964–975.
38. Congdon P. Bayesian Statistical Modeling, 2nd ed. John Wiley & Sons, Inc., New York, 2006.
39. Lunn D.J., Thomas A., Best N., and Spiegelhalter D. WinBUGS—A Bayesian Modelling Framework: Concepts, Structure, and Extensibility. Statistics and Computing, Vol. 10, No. 4, 2000, pp. 325–337.
40. Brooks S.P., and Gelman A. Alternative Methods for Monitoring Convergence of Iterative Simulations. Journal of Computational and Graphical Statistics, Vol. 7, No. 4, 1998, pp. 434–455.
41. Spiegelhalter D.J., Best N.G., Carlin B.P., and Van der Linde A. Bayesian Measures of Model Complexity and Fit. Journal of the Royal Statistical Society B, Vol. 64, No. 4, 2002, pp. 1–34.
42. Spiegelhalter D., Thomas A., Best N., and Lunn D. WinBUGS User Manual. Medical Research Council Biostatistics Unit, Cambridge, United Kingdom, 2005. http://www.mrc-cam.ac.uk/bugs.
43. Gelman A., Carlin J.B., Stern H.S., and Rubin D. B. Bayesian Data Analysis, 2nd ed. Chapman & Hall, London, 2004.

Cite article

Cite article

Cite article

OR

Download to reference manager

If you have citation software installed, you can download article citation data to the citation manager of your choice

Share options

Share

Share this article

Share with email
EMAIL ARTICLE LINK
Share on social media

Share access to this article

Sharing links are not relevant where the article is open access and not available if you do not have a subscription.

For more information view the Sage Journals article sharing page.

Information, rights and permissions

Information

Published In

Article first published online: January 1, 2012
Issue published: January 2012

Rights and permissions

© 2012 National Academy of Sciences.
Request permissions for this article.

Authors

Affiliations

Karim El-Basyouny
Department of Civil and Environmental Engineering, University of Alberta, 9105 116th Street, NW, Edmonton, Alberta T6G 2W2, Canada
Tarek Sayed
Department of Civil Engineering, University of British Columbia, 6250 Applied Science Lane, Vancouver, British Columbia V6T 1Z4, Canada.

Notes

Metrics and citations

Metrics

Journals metrics

This article was published in Transportation Research Record: Journal of the Transportation Research Board.

VIEW ALL JOURNAL METRICS

Article usage*

Total views and downloads: 56

*Article usage tracking started in December 2016


Altmetric

See the impact this article is making through the number of times it’s been read, and the Altmetric Score.
Learn more about the Altmetric Scores



Articles citing this one

Receive email alerts when this article is cited

Web of Science: 0

Crossref: 20

  1. A survival analysis with random parameter approach for assessing tempo...
    Go to citation Crossref Google Scholar
  2. Application of Artificial Neural Network Approaches for Predicting Acc...
    Go to citation Crossref Google Scholar
  3. Impact of Road Marking Retroreflectivity on Machine Vision in Dry Cond...
    Go to citation Crossref Google Scholar
  4. Safety effectiveness and performance of lane support systems for drivi...
    Go to citation Crossref Google Scholar
  5. Investigating safety effects of wider longitudinal pavement markings
    Go to citation Crossref Google Scholar
  6. A comparison of collision-based and conflict-based safety evaluation o...
    Go to citation Crossref Google Scholar
  7. Are school zones effective in reducing speeds and improving safety?
    Go to citation Crossref Google Scholar
  8. Multivariate linear intervention models with random parameters to esti...
    Go to citation Crossref Google Scholar
  9. Evaluating the safety impact of increased speed limits on rural highwa...
    Go to citation Crossref Google Scholar
  10. A full Bayes before-after study accounting for temporal and spatial ef...
    Go to citation Crossref Google Scholar
  11. Observational study on the pavement performance effects of shoulder ru...
    Go to citation Crossref Google Scholar
  12. Observational Study on the Pavement Performance Effects of Shoulder Ru...
    Go to citation Crossref Google Scholar
  13. Highway Safety in India
    Go to citation Crossref Google Scholar
  14. Evaluating Safety Benefits of the Insurance Corporation of British Col...
    Go to citation Crossref Google Scholar
  15. Crash Modification Functions for Installation of Left-Turn Lanes at Si...
    Go to citation Crossref Google Scholar
  16. Developing crash modification functions for pedestrian signal improvem...
    Go to citation Crossref Google Scholar
  17. Potential crash reduction benefits of shoulder rumble strips in two-la...
    Go to citation Crossref Google Scholar
  18. Accounting for heterogeneity among treatment sites and time trends in ...
    Go to citation Crossref Google Scholar
  19. Collision modification functions: Incorporating changes over time
    Go to citation Crossref Google Scholar
  20. A comparison of collision-based and conflict-based safety evaluations:...
    Go to citation Crossref Google Scholar

Figures and tables

Figures & Media

Tables

View Options

Get access

Access options

If you have access to journal content via a personal subscription, university, library, employer or society, select from the options below:


Alternatively, view purchase options below:

Purchase 24 hour online access to view and download content.

Access journal content via a DeepDyve subscription or find out more about this option.

View options

PDF/ePub

View PDF/ePub