Modeling the Effects of Rainfall Intensity on the Heteroscedastic Traffic Speed Dispersion on Urban Roads
Publication: Journal of Transportation Engineering
Volume 142, Issue 6
Abstract
The heteroscedasticity refers to a collection of random variables with a subpopulation that have different dispersions from others. The variable dispersion could be quantified by measures of statistical dispersion such as standard deviation or coefficient of standard deviation. This study aims to model the effects of rainfall intensity on the heteroscedastic traffic speed dispersion on urban roads. The traffic and rainfall intensity data were collected by a selected video traffic detector and its nearest rainfall station in Hong Kong, respectively. The coefficient of variation of speed (CVS) was employed to measure the vehicular traffic speed dispersion. The analysis shows that the empirical values of CVS typically range from 0.05 to 0.2 at different traffic densities and rainfall intensities, and the exponential function provides a good fit to traffic speed data under both dry and rain conditions. A generalized function of CVS with the effects of rainfall intensity is proposed, calibrated, and validated with different sets of empirical data. The calibration and validation results show that the proposed generalized function of CVS fits well with the empirical data. The empirical findings and the generalized function of CVS proposed in this study may benefit for assessing and modeling the level-of-service performance of urban roads in Pacific Rim cities similar to Hong Kong with relatively high annual rainfall intensity.
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Acknowledgments
The work described in this paper was supported by the competitive earmarked research grant from the Research Grants Council of the Hong Kong Special Administrative Region (PolyU 152074/14E), and an internal research grant G-YZ21 from the Research Committee of the Hong Kong Polytechnic University for the Hong Kong Scholars Program, and the Research Institute for Sustainable Urban Development (RISUD) of the Hong Kong Polytechnic University (Project Nos. 1-ZVBX and 1-ZVBY). The revision of this work was also supported by Program for Young Excellent Talents in Tongji University (2014KJ014) and National Natural Science Foundation of China (71371001, 71171013, 71471013). The authors would like to thank the Transport Department of the Hong Kong Government for providing the JTIS traffic data from 2009 to 2011.
References
Aarts, L., and Schagen, I. V. (2006). “Driving speed and the risk of road crashes: A review.” Acc. Anal. Prev., 38(2), 215–224.
Benjaafar, S., Dooley, K., and Setyawan, W. (1997). “Cellular automata for traffic flow modeling.”, Center for Transportation Studies, Univ. of Minnesota, Minneapolis.
Billot, R., Faouzi, N. E. E., Sau, J., and Vuyst, F. D. (2010). “Integrating the impact of rain into traffic management.” Transp. Res. Rec., 2169, 141–149.
Billot, R., Faouzi, N. E. E., and Vuyst, F. D. (2009). “Multilevel assessment of the impact of rain on drivers’ behavior: Standardized methodology and empirical analysis.” Transp. Res. Rec., 2107, 134–142.
Chen, X., Li, Z., Li, L., and Shi, Q. (2014). “Characterising scattering features in flow-density plots using a stochastic platoon model.” Transportmetrica A: Transp. Sci., 10(9), 820–848.
Chung, C. L., and Recker, W. W. (2010). “Characteristics of speed dispersion and its relationships with the fundamental traffic flow parameters in urban freeways: A case study in northern California.” Proc., 89th Transportation Research Board Annual Meeting (CD-ROM), Transportation Research Board, Washington, DC.
Chung, C. L., and Recker, W. W. (2014). “Application of speed variance in measuring freeway level of service and in air emissions evaluation.” Proc., 93th Transportation Research Board Annual Meeting (CD-ROM), Transportation Research Board, Washington, DC.
Del Castillo, J. M., and Benitez, F. G. (1995). “On the functional form of the speed-density relationship. II: Empirical investigation.” Trans. Rec. Part B, 29(5), 391–406.
Garber, N. J., and Gadiraju, R. (1989). “Factors affecting speed variance and its influence on accidents.” Transp. Res. Rec., 1213, 64–71.
Huang, Z. Y., Chen, X. H., Li, H. F., Yang, Z. L., and Li, L. Y. (2008). “Movement nature of speed-flow relationship on congested expressway.” J. Transp. Eng., 137–145.
Lam, W. H. K., Shao, H., and Sumalee, A. (2008). “Modeling impacts of adverse weather conditions on a road network with uncertainties in demand and supply.” Transp. Res. Part B, 42(10), 890–910.
Lam, W. H. K., Tam, M. L., Cao, X., and Li, X. (2013). “Modeling the effect of rainfall intensity on traffic speed, flow, and density relationships for urban roads.” J. Transp. Eng., 758–770.
Lave, C. A. (1985). “Speeding, coordination, and the 55 mph limit.” Am. Econ. Rev., 75(5), 1159–1164.
Li, D. P., Li, X. M., and Lam, W. H. K. (2012a). “Temporal and spatial impacts of rainfall intensity on traffic accidents in Hong Kong.” Proc., 17th Int. Conf., Hong Kong Society for Transportation Studies, Hong Kong, 330–340.
Li, J., Chen, Q-Y., Wang, H., and Ni, D. (2012b). “Analysis of LWR model with fundamental diagram subject to uncertainties.” Transportmetrica, 8(6), 387–405.
May, A. D. (1990). Traffic flow fundamentals, Prentice Hall, Englewood Cliffs, NJ.
Ngoduy, D. (2009). “Multiclass first-order traffic model using stochastic fundamental diagrams.” Transportmetrica, 7(2), 111–125.
Park, S., and Ritchie, S. G. (2004). “Exploring the relationship between freeway speed variance, lane changing, and vehicle heterogeneity.”, Institute of Transport Studies, Univ. of California, Irvine, CA.
Quddus, M. (2013). “Exploring the relationship between average speed, speed variation, and accident rates using spatial statistical models and GIS.” J. Transp. Saf. Secur., 5(1), 27–45.
Shankar, V., and Mannering, F. (1998). “Modeling the endogeneity of lane-mean speeds and lane-speed deviations: A structural equations approach.” Transp. Res. Part A, 32(5), 311–322.
Shao, H., Lam, W. H. K., Tam, M. L., and Yuan, X. M. (2008). “Modelling rain effects on risk-taking behaviours of multi-user classes in road networks with uncertainty.” J. Adv. Transp., 42(3), 265–290.
Sumalee, A., Uchida, K., and Lam, W. H. K. (2011a). “Stochastic multi-modal transport network under demand uncertainties and adverse weather condition.” Transp. Res. Part C, 19(2), 338–350.
Sumalee, A., Zhong, R. X., Pan, T. L., and Szeto, W. Y. (2011b). “Stochastic cell transmission model (SCTM): A stochastic dynamic traffic model for traffic state surveillance and assignment.” Transp. Res. Part B, 45(3), 507–533.
Tam, M. L., Chen, B. Y., and Lam, W. H. K. (2007). “Assessment of rainfall impacts on vehicular travel speeds.” Proc., 12th Int. Conf., Hong Kong Society for Transportation Studies, Hong Kong, 421–430.
Tam, M. L., and Lam, W. H. K. (2011). “Validation of instantaneous journey time estimates: a journey time indication system in Hong Kong.” Proc., 9th Int. Conf. of Eastern Asia Society for Transportation Studies, Hong Kong Society for Transportation Studies, Hong Kong, 335–346.
Taylor, M. C., Lynam, D. A., and Baruya, A. (2000). “The effects of drivers’ speed on the frequency of road accidents.”, Transport Research Laboratory, Crowthorne, Berkshire, U.K.
Transport Department. (2010). “The annual traffic census 2009.” Government of the Hong Kong Special Administrative Region, Hong Kong.
Transport Department. (2011). “The annual traffic census 2010.” Government of the Hong Kong Special Administrative Region, Hong Kong.
Treiber, M., and Helbing, D. (1999). “Macroscopic simulation of widely scattered synchronized traffic states.” J. Phys. A: Math. Gen. 32(1), L17–L23.
Wang, H., Li, Z., Hurwitz, D., and Shi, J. (2013a). “Parametric modeling of the heteroscedastic traffic speed variance from loop detector data.” J. Adv. Transp., 49(2), 279–296.
Wang, H., Ni, D., Chen, Q-Y., and Li, J. (2013b). “Stochastic modeling of the equilibrium speed-density relationship.” J. Adv. Transp., 47(1), 126–150.
Wang, H., Wang, W., Chen, X., Chen, J., and Li, J. (2007). “Experimental features and characteristics of speed dispersion in urban freeway traffic.” Transp. Res. Rec., 1999, 150–160.
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© 2016 American Society of Civil Engineers.
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Received: Mar 11, 2014
Accepted: Oct 20, 2015
Published online: Feb 16, 2016
Published in print: Jun 1, 2016
Discussion open until: Jul 16, 2016
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