Identifying crash risk factors and high risk locations on an interstate network

Highway safety improvement projects are identified by using either (i) a site-specific or (ii) a systemic approach. In the site-specific approach, locations for improvements are ranked according to different performance measures such as critical crash rate, expected crash rate or equivalent property damage only. Alternatively, in the systemic approach, roadway characteristics such as number of lanes, shoulder width, etc. are flagged as a ‘risk’ (or ‘preventative’) feature that increases (decreases) the risk of negative outcomes. Using the Highway Safety Information System database, we seek to merge the two approaches by, first, identifying roadway factors associated with an increased occurrence of car crashes (features we call ‘risk factors’) and, subsequently, identifying roadway segments with a higher crash risk. Specifically, we model the locations of crashes as a realization from a spatial point process. We then parameterize the associated intensity surface of this spatial point process as the sum of a regression on roadway characteristics and spatially correlated error terms. Thus, through the regression piece, we identify hazardous roadway features and through the spatially correlated error terms, we identify locations of high risk.

[1]  Hao Zhang Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics , 2004 .

[2]  Virgilio Gómez-Rubio,et al.  Spatial Point Patterns: Methodology and Applications with R , 2016 .

[3]  Craig Lyon,et al.  Empirical Bayes Procedure for Ranking Sites for Safety Investigation by Potential for Safety Improvement , 1999 .

[4]  Xuesong Wang,et al.  Modeling signalized intersection safety with corridor-level spatial correlations. , 2010, Accident; analysis and prevention.

[5]  Tarek Sayed,et al.  Multivariate Full Bayesian Hot Spot Identification and Ranking , 2015 .

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

[7]  H. Haario,et al.  An adaptive Metropolis algorithm , 2001 .

[8]  Paul P Jovanis,et al.  Spatial Correlation in Multilevel Crash Frequency Models , 2010 .

[9]  Dominique Lord,et al.  Further notes on the application of zero-inflated models in highway safety. , 2007, Accident; analysis and prevention.

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

[11]  Matthew J. Heaton,et al.  An Analysis of an Incomplete Marked Point Pattern of Heat-Related 911 Calls , 2015 .

[12]  Robert E Weiss,et al.  Bayesian methods for data analysis. , 2010, American journal of ophthalmology.

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

[14]  A. Kottas,et al.  Bayesian mixture modeling for spatial Poisson process intensities, with applications to extreme value analysis , 2007 .

[15]  Francesca Chiaromonte,et al.  An attraction–repulsion point process model for respiratory syncytial virus infections , 2014, Biometrics.

[16]  Haotian Hang,et al.  Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics , 2004 .

[17]  A. Gelfand,et al.  ANALYSIS OF MINNESOTA COLON AND RECTUM CANCER POINT PATTERNS WITH SPATIAL AND NONSPATIAL COVARIATE INFORMATION. , 2009, The annals of applied statistics.

[18]  Grant G Schultz,et al.  Analyzing Raised Median Safety Impacts Using Bayesian Methods , 2011 .

[19]  S. Chib,et al.  Understanding the Metropolis-Hastings Algorithm , 1995 .

[20]  Yu-Chiun Chiou,et al.  Modeling crash frequency and severity using multinomial-generalized Poisson model with error components. , 2013, Accident; analysis and prevention.

[21]  Loren Staplin,et al.  A strategy to reduce older driver injuries at intersections using more accommodating roundabout design practices. , 2007, Accident; analysis and prevention.

[22]  G. Casella,et al.  Explaining the Gibbs Sampler , 1992 .

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

[24]  B. G. Heydecker,et al.  Identification of sites for road accident remedial work by Bayesian statistical methods: an example of uncertain inference , 2001 .

[25]  Avishek Chakraborty,et al.  Point pattern modelling for degraded presence‐only data over large regions , 2011 .

[26]  Timothy J. Robinson,et al.  Linear Models With R , 2005, Technometrics.

[27]  Dominique Lord,et al.  Poisson, Poisson-gamma and zero-inflated regression models of motor vehicle crashes: balancing statistical fit and theory. , 2005, Accident; analysis and prevention.

[28]  Md. Tazul Islam,et al.  Effects of spatial correlation in random parameters collision count-data models , 2015 .

[29]  D. Stoyan,et al.  Statistical Analysis and Modelling of Spatial Point Patterns , 2008 .

[30]  C. Gallagher Extending the Linear Model With R: Generalized Linear, Mixed Effects and Nonparametric Regression Models , 2007 .

[31]  Bradley P. Carlin,et al.  Hierarchical Spatio-Temporal Mapping of Disease Rates , 1997 .

[32]  Rasmus Waagepetersen,et al.  Convergence of posteriors for discretized log Gaussian Cox processes , 2004 .

[33]  Mohamed M. Ahmed,et al.  Exploring a Bayesian hierarchical approach for developing safety performance functions for a mountainous freeway. , 2011, Accident; analysis and prevention.

[34]  Benjamin Shaby,et al.  The role of the range parameter for estimation and prediction in geostatistics , 2011, 1108.1851.

[35]  Keith K Knapp,et al.  Systemic Safety Improvement Risk Factor Evaluation and Countermeasure Summary , 2014 .

[36]  Eric T. Donnell,et al.  Causal inference in transportation safety studies: Comparison of potential outcomes and causal diagrams , 2011, 1107.4855.

[37]  Sudip Barua,et al.  Investigation of time and weather effects on crash types using full Bayesian multivariate Poisson lognormal models. , 2014, Accident; analysis and prevention.

[38]  Sw. Banerjee,et al.  Hierarchical Modeling and Analysis for Spatial Data , 2003 .