A multivariate spatial crash frequency model for identifying sites with promise based on crash types.

Many studies have proposed the use of a systemic approach to identify sites with promise (SWiPs). Proponents of the systemic approach to road safety management suggest that it is more effective in reducing crash frequency than the traditional hot spot approach. The systemic approach aims to identify SWiPs by crash type(s) and, therefore, effectively connects crashes to their corresponding countermeasures. Nevertheless, a major challenge to implementing this approach is the low precision of crash frequency models, which results from the systemic approach considering subsets (crash types) of total crashes leading to higher variability in modeling outcomes. This study responds to the need for more precise statistical output and proposes a multivariate spatial model for simultaneously modeling crash frequencies for different crash types. The multivariate spatial model not only induces a multivariate correlation structure between crash types at the same site, but also spatial correlation among adjacent sites to enhance model precision. This study utilized crash, traffic, and roadway inventory data on rural two-lane highways in Pennsylvania to construct and test the multivariate spatial model. Four models with and without the multivariate and spatial correlations were tested and compared. The results show that the model that considers both multivariate and spatial correlation has the best fit. Moreover, it was found that the multivariate correlation plays a stronger role than the spatial correlation when modeling crash frequencies in terms of different crash types.

[1]  Bani K. Mallick,et al.  ROADWAY TRAFFIC CRASH MAPPING: A SPACE-TIME MODELING APPROACH , 2003 .

[2]  J. Besag Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .

[3]  Paul Damien,et al.  A multivariate Poisson-lognormal regression model for prediction of crash counts by severity, using Bayesian methods. , 2008, Accident; analysis and prevention.

[4]  Sudip Barua,et al.  Assessing the Effect of Weather States on Crash Severity and Type by Use of Full Bayesian Multivariate Safety Models , 2014 .

[5]  Ezra Hauer,et al.  How Best to Rank Sites with Promise , 2004 .

[6]  Reginald R. Souleyrette,et al.  Alternative Strategies for Safety Improvement Investments , 2010 .

[7]  Chandra R. Bhat,et al.  On Accommodating Spatial Dependence in Bicycle and Pedestrian Injury Counts by Severity Level , 2013 .

[8]  E Hauer,et al.  On the estimation of the expected number of accidents. , 1986, Accident; analysis and prevention.

[9]  G R Wood,et al.  Generalised linear accident models and goodness of fit testing. , 2002, Accident; analysis and prevention.

[10]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[11]  Dominique Lord,et al.  Modeling motor vehicle crashes using Poisson-gamma models: examining the effects of low sample mean values and small sample size on the estimation of the fixed dispersion parameter. , 2006, Accident; analysis and prevention.

[12]  Paul P Jovanis,et al.  Bayesian Multivariate Poisson Lognormal Models for Crash Severity Modeling and Site Ranking , 2009 .

[13]  Bhagwant Persaud,et al.  Validation of a Full Bayes methodology for observational before-after road safety studies and application to evaluation of rural signal conversions. , 2009, Accident; analysis and prevention.

[14]  Tarek Sayed,et al.  A method to account for outliers in the development of safety performance functions. , 2010, Accident; analysis and prevention.

[15]  Bhagwant Persaud DO TRAFFIC SIGNALS AFFECT SAFETY? SOME METHODOLOGICAL ISSUES , 1988 .

[16]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[17]  Bradley P. Carlin,et al.  BAYES AND EMPIRICAL BAYES METHODS FOR DATA ANALYSIS , 1996, Stat. Comput..

[18]  Helai Huang,et al.  County-Level Crash Risk Analysis in Florida: Bayesian Spatial Modeling , 2010 .

[19]  Ezra Hauer Identification of Sites with Promise , 1996 .

[20]  K. El-Basyouny,et al.  A Full Bayesian Multivariate Count Data Model of Collision Severity with Spatial Correlation , 2014 .

[21]  Kara M Kockelman,et al.  A Poisson-lognormal conditional-autoregressive model for multivariate spatial analysis of pedestrian crash counts across neighborhoods. , 2013, Accident; analysis and prevention.

[22]  Fred L. Mannering,et al.  The statistical analysis of crash-frequency data: A review and assessment of methodological alternatives , 2010 .

[23]  K. Mardia Multi-dimensional multivariate Gaussian Markov random fields with application to image processing , 1988 .

[24]  R. Dubin Estimation of Regression Coefficients in the Presence of Spatially Autocorrelated Error Terms , 1988 .

[25]  Eun Sug Park,et al.  Multivariate Poisson-Lognormal Models for Jointly Modeling Crash Frequency by Severity , 2007 .

[26]  Bhagwant Persaud,et al.  Comparison of empirical Bayes and full Bayes approaches for before-after road safety evaluations. , 2010, Accident; analysis and prevention.

[27]  K. Kockelman,et al.  Bayesian Multivariate Poisson Regression for Models of Injury Count, by Severity , 2006 .

[28]  Paul P Jovanis,et al.  Analysis of Road Crash Frequency with Spatial Models , 2008 .

[29]  Martin T. Pietrucha,et al.  Examining Fatal Crash Reductions by First Harmful Events since the Introduction of the Federal Highway Safety Improvement Program , 2013 .

[30]  Mike Rees,et al.  5. Statistics for Spatial Data , 1993 .

[31]  Jonathan Aguero-Valverde,et al.  Multivariate spatial models of excess crash frequency at area level: case of Costa Rica. , 2013, Accident; analysis and prevention.

[32]  Andrew Thomas,et al.  The BUGS project: Evolution, critique and future directions , 2009, Statistics in medicine.

[33]  Liping Fu,et al.  Bayesian multiple testing procedures for hotspot identification. , 2007, Accident; analysis and prevention.

[34]  P. Jovanis,et al.  Spatial analysis of fatal and injury crashes in Pennsylvania. , 2006, Accident; analysis and prevention.

[35]  Ezra Hauer,et al.  OBSERVATIONAL BEFORE-AFTER STUDIES IN ROAD SAFETY -- ESTIMATING THE EFFECT OF HIGHWAY AND TRAFFIC ENGINEERING MEASURES ON ROAD SAFETY , 1997 .

[36]  Jonathan Aguero-Valverde,et al.  Full Bayes Poisson gamma, Poisson lognormal, and zero inflated random effects models: Comparing the precision of crash frequency estimates. , 2013, Accident; analysis and prevention.