MODELING MULTIPLE VEHICLE OCCUPANT INJURY SEVERITY: A COPULA-BASED MULTIVARIATE APPROACH

Previous research in crash injury severity analysis has largely focused on level of injury severity sustained by the driver of the vehicle or the most severely injured occupant of the vehicle. While such studies are undoubtedly useful, they do not provide a comprehensive picture of the injury profile of all vehicular occupants in crash-involved vehicles. This limits the ability to devise safety measures that enhance the safety and reduce the injury severity associated with all vehicular occupants. Moreover, such studies ignore the possible presence of correlated unobserved factors that may simultaneously influence and impact the injury severity levels of multiple occupants in the vehicle. This paper aims to fill this gap by presenting a simultaneous model of injury severity that can be applied to crashes involving any number of occupants. A copula-based methodology, that can be effectively used to estimate such complex model systems, is presented and applied to a data set of crashes drawn from the 2007 General Estimates System (GES) in the United States. The model estimation results provide strong evidence of the presence of correlated unobserved factors that affect injury severity levels among vehicle occupants. The correlation exhibits heterogeneity across vehicle types with greater level of interoccupant dependency in heavier sport utility vehicles and pickup trucks. The study also sheds light on how numerous exogenous factors including occupant characteristics, vehicle characteristics, environmental factors, roadway attributes, and crash characteristics affect injury severity levels of occupants in different seat positions. The findings confirm that rear seat passengers are less vulnerable to severe injuries than front row passengers pointing to the need to enhance vehicular design features that promote front row occupant safety.

[1]  H M Corneli,et al.  Effect of Seating Position and Restraint Use on Injuries to Children in Motor Vehicle Crashes , 2000, Pediatrics.

[2]  Naveen Eluru,et al.  Examining the influence of aggressive driving behavior on driver injury severity in traffic crashes. , 2010, Accident; analysis and prevention.

[3]  Ulric J Lund The effect of seating location on the injury of properly restrained children in child safety seats. , 2005, Accident; analysis and prevention.

[4]  Pravin K. Trivedi,et al.  Copula Modeling: An Introduction for Practitioners , 2007 .

[5]  R. Nelsen An Introduction to Copulas , 1998 .

[6]  Chandra R. Bhat,et al.  The spatial analysis of activity stop generation , 2002 .

[7]  Anne-Catherine Favre,et al.  Bayesian copula selection , 2006, Comput. Stat. Data Anal..

[8]  Toshiyuki Yamamoto,et al.  Bivariate ordered-response probit model of driver's and passenger's injury severities in collisions with fixed objects. , 2004, Accident; analysis and prevention.

[9]  Chandra R. Bhat,et al.  A multi-level cross-classified model for discrete response variables , 2000 .

[10]  S A Ferguson,et al.  Seating positions and children's risk of dying in motor vehicle crashes , 1998, Injury prevention : journal of the International Society for Child and Adolescent Injury Prevention.

[11]  R. McKelvey,et al.  A statistical model for the analysis of ordinal level dependent variables , 1975 .

[12]  Claudia Czado,et al.  Modeling Transport Mode Decisions Using Hierarchical Binary Spatial Regression Models with Cluster Effects , 2004 .

[13]  J. Mayrose,et al.  The Safest Seat: Effect of Seating Position on Occupant Mortality , 2006 .

[14]  Peter Cummings,et al.  Passenger seating position and the risk of passenger death or injury in traffic crashes. , 2004, Accident; analysis and prevention.

[15]  C J O'Donnell,et al.  Predicting the severity of motor vehicle accident injuries using models of ordered multiple choice. , 1996, Accident; analysis and prevention.

[16]  Chandra R. Bhat,et al.  Copula-Based Approach to Accommodate Residential Self-Selection Effects in Travel Behavior Modeling , 2009 .

[17]  Harry Joe,et al.  Parametric families of multivariate distributions with given margins , 1993 .

[18]  M. J. Frank On the simultaneous associativity of F(x, y) and x+y-F(x, y). (Short Communication). , 1978 .

[19]  M. J. Frank On the simultaneous associativity ofF(x,y) andx +y -F(x,y) , 1979 .

[20]  Matteo Bottai,et al.  Multilevel models for analyzing people’s daily movement behavior , 2006, J. Geogr. Syst..

[21]  K M Smith,et al.  Passenger seating position and the risk of passenger death in traffic crashes: a matched cohort study , 2006, Injury Prevention.

[22]  H. Joe Multivariate models and dependence concepts , 1998 .

[23]  Tamitza Toroyan,et al.  Global status report on road safety , 2009, Injury Prevention.

[24]  Kara Kockelman,et al.  Occupant Injury Severity using a Heteroscedastic Ordered Logit Model : Distinguishing the Effects of Vehicle Weight and Type , 2005 .

[25]  Kara M. Kockelman,et al.  Use of heteroscedastic ordered logit model to study severity of occupant injury: Distinguishing effects of vehicle weight and type , 2005 .

[26]  Alexia Lennon,et al.  Rear seat safer: seating position, restraint use and injuries in children in traffic crashes in Victoria, Australia. , 2008, Accident; analysis and prevention.

[27]  Christian Genest,et al.  Copules archimédiennes et families de lois bidimensionnelles dont les marges sont données , 1986 .

[28]  E. Gumbel Bivariate Exponential Distributions , 1960 .

[29]  Gudmundur F. Ulfarsson,et al.  Differences in male and female injury severities in sport-utility vehicle, minivan, pickup and passenger car accidents. , 2004, Accident; analysis and prevention.

[30]  Casey Quinn,et al.  The health-economic applications of copulas: methods in applied econometric research , 2007 .

[31]  T P Hutchinson,et al.  Statistical modelling of injury severity, with special reference to driver and front seat passenger in single-vehicle crashes. , 1986, Accident; analysis and prevention.

[32]  D. Clayton A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence , 1978 .

[33]  Pablo Lardelli-Claret,et al.  Individual factors affecting the risk of death for rear-seated passengers in road crashes. , 2006, Accident; analysis and prevention.

[34]  Abe Sklar,et al.  Random variables, joint distribution functions, and copulas , 1973, Kybernetika.

[35]  A. Khattak,et al.  Role of Adverse Weather in Key Crash Types on Limited-Access: Roadways Implications for Advanced Weather Systems , 1998 .

[36]  Naveen Eluru,et al.  A joint econometric analysis of seat belt use and crash-related injury severity. , 2007, Accident; analysis and prevention.

[37]  M C Frick,et al.  Seating position in cars and fatality risk. , 1988, American journal of public health.