Estimation of the Crash Modification Factor (CMF) for Shoulder Rumble Strips on Horizontal Curves of Two-Lane Two-Way Rural Highways Using the Cross-Sectional Method (Case Study: Lorestan Province)

Document Type : Original Article

Author
Department of Civil Engineering, Payame Noor University, Tehran, Iran.
Abstract
Shoulder rumble strips, as a cost-effective and efficient safety countermeasure, play a crucial role in reducing Run-off-road crashes. However, the effectiveness of this measure is influenced by the geometric, traffic, and environmental conditions of each region. Directly applying Crash Modification Factors (CMFs) developed in other countries or regions may lead to unrealistic estimates. This study aims to develop a local CMF for the implementation of shoulder rumble strips on horizontal curves of two-lane two-way rural highways in Lorestan Province using the Cross-Sectional method. To this end, data were collected for 100 horizontal curves, including 42 curves with rumble strips and 58 curves without them, over the period from 2019 to 2023. Run-off-road crash data were obtained from the Traffic Police, while geometric and traffic information was acquired from the General Directorate of Road Maintenance and Transportation. In this study, the frequency of run-off-road crashes was considered the dependent variable, while the average annual daily traffic (AADT), curve radius, curve length, shoulder width, and speed limit were treated as independent variables. The presence or absence of rumble strips was included in the model as a dummy variable. Modeling was performed using negative binomial regression and the maximum likelihood method. The results indicated that the presence of rumble strips had a significant negative effect on the frequency of run-off-road crashes, with an estimated CMF of 0.68, representing an approximate 32% reduction in crashes following implementation.
Keywords

- بهنود، حمیدرضا؛ زمانی، ساسان؛ نادران، علی (1396). اثرسنجی احداث خطوط اتوبوس تندرو بر فراوانی تصادف در بزرگراه‌های شهری (مطالعه موردی بزرگراه رسالت تهران)، فصلنامه مهندسی حمل و نقل، سال دهم، شماره سوم، بهار. 615-603.
- بهنود، حمیدرضا؛ سعادتی فرد، سهیل. (1404). اثرسنجی ایمنی اصلاح قوس‌های افقی تیز در راه‌های برونشهری کوهستانی و تپه‌ماهوری، فصلنامه علمی جاده، سال بیست و سوم، دوره دوم، شماره 123، تابستان. 507-497.
- توکلی کاشانی، علی؛ بختی، بهاره؛ محمدزاده مقدم، ابوالفضل. (1399). محاسبه ضریب اصلاح تصادف (CMF) دوربین‌های کنترل سرعت بزرگراهی شهر مشهد، فصلنامه علمی پژوهشنامه حمل و نقل، سال هفدهم، دوره چهارم، شماره 65­، زمستان.89-96.
- حافظی، علی؛ بهنود، حمیدرضا. (1400). اثرسنجی ایمنی پروژه‌های روشنایی در راه‌های برونشهری، فصلنامه مهندسی حمل و نقل، سال سیزدهم، شماره اول، پاییز. 1178-1163.
- سیفی، حامد. (1404). ارزیابی تاثیر ایمنی بهبود خط‌کشی در تصادفات راه‌های برونشهری (مطالعه موردی: محور شهرضا-سمیرم)، فصلنامه علمی جاده، سال بیست و سوم، دوره سوم، شماره 124، پاییز. 384-377.
- شاهو، دستور؛ بهنود، حمیدرضا؛ عبدی کردانی، علی؛ مرادی، فرزاد، (1403). اثرسنجی ایمنی نصب شیارهای لرزاننده طولی در راه‌های شریانی برون‌شهری، مجله راهور، پیاپی 49، 34-1.
- شعبانی، شاهین؛ کوهی، محمد. (1400). تخمین ضریب بهبود تصادف برای بهسازی شانه راه با توسعه مدل پیشبینی تصادف به روش بیزتجربی، فصلنامه علمی پژوهشنامه حمل و نقل، سال هجدهم، دوره چهارم، شماره 69 ، زمستان. 70-59.
- کوهی، محمد؛ شعبانی، شاهین. (1399). ارزیابی اثربخشی ایجاد روشنایی در کاهش تصادفات شبانه راه‌های برون‌شهری، فصلنامه علمی جاده، سال هجدهم، شماره 104، دوره سوم، پاییز. 82-69.
- کوهی، محمد؛ شعبانی، شاهین. (1401). ارزیابی تاثیر ایمنی میدان در کاهش تصادفات تقاطع، فصلنامه علمی پژوهشنامه حمل و نقل، سال نوزدهم، دوره اول، شماره 70،  بهار. 12-1.
- کوهی، محمد؛ شعبانی، شاهین. (1403). ارزیابی اثربخشی حفاظ ایمنی در کاهش شدت تصادفات خروج از راه، فصلنامه علمی پژوهشنامه حمل و نقل، سال بیست و یکم، دوره چهارم، شماره 81 ، زمستان. 170-161.
- کوهی، محمد؛ صفارزاده، محمود. (1401). اثربخشی اجرای همزمان اقدامات اصلاحی در نقاط پرتصادف (مطالعه موردی: محور ملایر- جوکار)، فصلنامه علمی پژوهشنامه حمل و نقل، سال نوزدهم، دوره دوم، شماره 71، تابستان. 160-149.
Alarifi, S., & Alkahtani, K. (2025). Evaluating the safety and cost-effectiveness of shoulder rumble strips and road lighting on freeways in Saudi Arabia. Sustainability, 17(15), 6868.
-Al-Marafi, M. N., Alhadidi, T. I., Alhawamdeh, M., & Jaber, A. (2024). Enhancing road safety strategies through applying combined treatments for different crash severity. Urban Science, 8(3), 109-110.
-Al-Marafi, M.N., Somasundaraswaran, K. (2023). A review of the state-of-the-art methods in estimating crash modification factor (CMF). Transp. Res. Interdiscip. Perspect. 20, 100839.
-Al-Marafi, M.N.; Somasundaraswaran, K.; Ayers, R. (2020). Developing crash modification factors for roundabouts using a cross-sectional method. J. Traffic Transp. Eng. English Ed. 7,362–374.
-Carrasco, O. McFadden, J. Chandhok, P. Patel, R. (2004). Evaluation of the effectiveness of shoulder rumble strips on rural multilane divided highways in Minnesota. In Proceedings of the 83rd Annual Meeting of the Transportation Research Board, Washington, DC, USA, 11–15 January.
-Elagamy, S, R., El-Badawy, Sh, M., Shwaly, S, A., Zidan, Z, M., and Shahdah, U., (2020). Segmentation E ect on the Transferability of International Safety Performance Functions for Rural Roads in Egypt, Safety, 6, 43.
-Galgamuwa, U. Vahl, C.I. (2020). Dissanayake, S. Role of driver behaviors and environmental characteristics in evaluating safety effectiveness of roadway countermeasures:
A novel approach of estimating crash modification factors. J. Transp. Saf. Secur, 12, 764–781.
-Gross, F. Donnell. E. T. (2011). Case-Control and Cross-Sectional Methods for Estimating Crash Modification Factors: Comparisons from Roadway Lighting and Lane and Shoulder Width Safety Effect Studies. Journal of Safety Research, Vol. 42, No. 2, 117–129.
Gujarati, D. N. (2022). Essential of Econometrics (5th ed). SAGE Publications.
-Harwood, D.W. Council, F.M. Hauer, E. Hughes, W.E. Vogt, A.J.B.T. (2000). Prediction of the Expected Safety Performance of Rural Two-Lane Highways; No. FHWA-RD-99-207, MRI 4584-09, Technical Report; Federal Highway Administration: Washington, DC, USA.
-HSM (2010). Highway Safety Manual; AASHTO: Washington, DC, USA.
-Jaber, A. Al-Sahili, K. (2023). Severity of Pedestrian Crashes in Developing Countries: Analysis and Comparisons Using Decision Tree Techniques. SAE Int. J. Transp. Saf. 11,
307–320.
-Kay, J. Gates, T.J. Savolainen, P.T. Mahmud, S. (2022). Safety Performance of Unsignalized Median U-Turn Intersections. Transp. Res. Rec. J. Transp. Res. Board, 2676, 451–466.
-Khan, G. Bill, A.R.; Chitturi, M.V. Noyce, D.A. (2013). Safety Evaluation of Horizontal Curves on Rural Undivided Roads. Transp. Res. Rec. J. Transp. Res. Board, 2386, 147–157.
-Kutner, M. H., Nachtsheim, C., Neter. J. (2004). Applied Linear Regression Models. McGraw Hill/Irwin, New York, NY.
-Le, T.Q. Gross, F. Harmon, T. (2017). Safety Effects of Low-Cost Systemic Safety Improvements at Signalized and Stop-Controlled Intersections. Transp. Res. Rec. J. Transp. Res. Board, 2636, 80–87.
-Lee, C. Abdel-Aty, M.; Park, J. Wang, J. H. (2015). Development of crash modification factors for changing lane width on roadway segments using generalized nonlinear models. Accid. Anal. Prev, 76, 83–91.
-Meuleners, L. Hendrie, D. Lee, A.H. (2011). Effectiveness of sealed shoulders and audible edge lines in Western Australia. Traffic Inj. Prev, 12, 201–205.
-Montgomery, D. C., Peck, E. A., Vining. G. G. (2015). Introduction to Linear Regression Analysis. John Wiley and Sons, Hoboken, NJ.
-Park, J. Abdel-Aty, M. Lee, C. (2014). Exploration and comparison of crash modification factors for multiple treatments on rural multilane roadways. Accid. Anal. Prev. 70, 167–177.
-Park, J. Abdel-Aty, M. Lee, J. (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, 179–191.
-Patel, R.B. Council, F.M.; Griffith, M.S. (2007), Estimating safety benefits of shoulder rumble strips on two-lane rural highways in Minnesota: Empirical Bayes observational before-and-after study. Transp. Res. Rec. 2007, 205–211.
-Poch, M., Mannering, F., (1996). Negative binomial analysis of intersection-accident frequencies. J. Transp. Eng. Asce 122 (2), 105-113.
-Rezapour, M. Wulff, S.S. Ksaibati, K. (2018). Predicting Truck At-Fault Crashes Using Crash and Traffic Offence Data. Open Transp. J, 12, 128–138.
-Russo, B.J. Savolainen, P.T.; Gates, T.J. (2016). Development of Crash Modification Factors for Installation of High-Tension Cable Median Barriers. Transp. Res. Rec. J. Transp. Res. Board, 2588, 116–125.
-Shahdah, U. Saccomanno, F. Persaud, B. (2014). Integrated Traffic Conflict Model for Estimating Crash Modification Factors. Accid. Anal. Prev, 71, 228–235.
-Srinivasan, R.; Bauer, K.M. (2013). Safety Performance Function Development Guide: Developing Jurisdiction-Specific SPFs; No. FHWA-SA-14 005; Federal Highway Administration, Office of Safety: Washington, DC, USA.
-Srinivasan, R.; Carter, D.; Bauer, K.M. (2013). Safety Performance Function Decision Guide: SPF Calibration vs. SPF Development; No. FHWA-SA-14-004; Federal Highway Administration, Office of Safety: Washington, DC, USA.
-Torbic, D.J. (2009). Guidance for the Design and Application of Shoulder and Centerline Rumble Strips; NCHRP Report 641; Transportation Research Board: Washington, DC, USA.
-Vinayaraj, V.S.; Perumal, V. (2023). Developing Safety Performance Functions and Crash Modification Factors for Urban Roundabouts in Heterogeneous Non-Lane-Based Traffic Conditions. Transp. Res. Rec. J. Transp. Res. Board, 2677, 644–661.
-Wang, J. H. Abdel-Aty, M. Wang, L. (2017). Examination of the reliability of the crash modification factors using empirical Bayes method with resampling technique. Accid. Anal. Prev. 104, 96–105.
-WHO, (2022). Road Traffic Injuries; WHO: Geneva, Switzerland.
-World Health Organization. (2023). Global Status Report on Road Safety 2023: Summary; World Health Organization: Geneva, Switzerland.
-Wu, K.F. Donnell, E.T. Aguero-Valverde, J. (2014). Relating crash frequency and severity: Evaluating the effectiveness of shoulder rumble strips on reducing fatal and major injury crashes. Accid. Anal. Prev, 67, 86–95.
-Wu, L. Lord, D. Geedipally, S.R. (2017), Developing Crash Modification Factors for Horizontal Curves on Rural Two-Lane Undivided Highways Using a Cross-Sectional Study. Transp. Res. Rec. J. Transp. Res. Board, 2636, 53–61.
-Wu, L.; Lord, D. Zou, Y. (2015). Validation of crash modification factors derived from cross-sectional studies with regression models. Transp. Res. Rec, 2514, 88–96.
-Zhang, L., Huang, Zh., Kuang, A., Jie Yu, J., Cai, M., (2024). Estimation of Crash Modification Factors (CMFs) in Mountain Freeways: Considering Temporal Instability in Crash Data, Sustainability, 16, 5068.
-Zhang, L., Huang, Zh., Kuang, A., Jie Yu, J., Cai, M., (2024). Estimation of Crash Modification Factors (CMFs) in Mountain Freeways: Considering Temporal Instability in Crash Data, Sustainability, 16, 5068.