Estimating the risk of collisions between bicycles and motor vehicles at signalized intersections

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Abstract

Collisions between bicycles and motor vehicles have caused severe life and property losses in many countries. The majority of bicycle–motor vehicle (BMV) accidents occur at intersections. In order to reduce the number of BMV accidents at intersections, a substantial understanding of the causal factors for the collisions is required. In this study, intersection BMV accidents were classified into three types based on the movements of the involved motor vehicles and bicycles. The three BMV accident classifications were through motor vehicle related collisions, left-turn motor vehicle related collisions, and right-turn motor vehicle related collisions. A methodology for estimating these BMV accident risks was developed based on probability theory. A significant difference between this proposed methodology and most current approaches is that the proposed approach explicitly relates the risk of each specific BMV accident type to its related flows. The methodology was demonstrated using a 4-year (1992–1995) data set collected from 115 signalized intersections in the Tokyo Metropolitan area. This data set contains BMV accident data, bicycle flow data, motor vehicle flow data, traffic control data, and geometric data for each intersection approach. For each BMV risk model, an independent explanatory variable set was chosen according to the characteristics of the accident type. Three negative binomial regression models (one corresponding to each BMV accident type) were estimated using the maximum likelihood method. The coefficient value and its significance level were estimated for each selected variable. The negative binomial dispersion parameters for all the three models were significant at 0.01 levels. This supported the choice of the negative binomial regression over the Poisson regression for the quantitative analyses in this study.

Introduction

Collisions between bicycles and motor vehicles have caused severe life and property losses in many countries. Fazio and Tiwari (1995) reported that bicycle–motor vehicle (BMV) accidents killed 116 people, or more than 10% of all traffic accident fatalities in Delhi in 1993. In Japan, more than 1000 people have died each year in BMV accidents since 1988 (Institute for Traffic Accident Research and Data Analysis, 2000). This has accounted for about 10% of all traffic fatalities each year. The BMV-accident-resulted fatality rate is even higher in Tokyo. Of the 359 traffic accident fatalities, 53 (14.8%) died in BMV accidents in Tokyo in 2000 (Tokyo Metropolitan Police Department, 2000). More seriously, in Beijing, about 38.7% of traffic accident fatalities died from BMV collisions and nearly 7% of all traffic accidents were related to bicycles (Liu et al., 1995).

Intersections are definitely high-risk locations for BMV collisions because of the frequent conflicts between bicycle flows and motor vehicle flows. According to Traffic Safety Facts 2000 (National Highway Safety Administration, 2001), 32.6% of fatal accident and 56.6% of injury BMV collisions occurred at intersections in the US. Wachtel and Lewiston (1994) studied bicycle accidents in Palo Alto from 1981 to 1990, and found that 233 of the 314 reported BMV collisions (64%) took place at intersections. According to the Tokyo Metropolitan Police Department (2000), approximately 18% of all casualty accidents at intersections were BMV accidents. These figures indicate that special attention should be given to intersection BMV accidents.

Gårder (1994) analyzed the causal factors for bicycle accidents with data collected from 1986 to 1991 in Maine. He found that about 57% of intersection BMV collisions involved turning movements of motor vehicles. He also concluded that bicycle riders were at fault for most of the reviewed BMV collisions. Summala et al. (1996) carefully studied the motor vehicle driver’s searching behaviors at non-signalized intersections and found that speed-reducing measurements, such as speed bumps, elevated bicycle crossings and stop signs, help drivers to begin searching earlier and detect bicycles properly. Wachtel and Lewiston (1994) specifically analyzed the effects of age, sex, direction of travel, and road position on intersection BMV collisions. Gårder et al. (1994) reviewed previous studies on bicycle accident risks and applied the Bayesian method to estimate the change in accident risk for bicycle riders when a bicycle path is introduced in a signalized intersection. They stated that conclusions from previous studies were fairly confusing, and few reviewed studies from the Scandinavian countries were conducted with acceptable methodologies. They attributed these conflicts to the absence of several important factors associated with specific intersections and emphasized the importance of considering the detailed intersection design when studying bicycle accidents.

To quantitatively consider the factors associated with specific intersection designs in risk models, new modeling techniques and more detailed data are needed. Though the conventional black spot identification method, which marks the location of each accident with a pin on a map and labels locations with the most pins as “black spots”, is an efficient way to identify high frequency accident sites, it does not provide any sufficient help in understanding accident causes. Without a proper understanding of accident causes, safety resources may be misused, and countermeasures may be ineffective. Hauer (1986) points out that a simple count of accidents is not a good estimate of safety and suggests estimating the expected value of accidents as a better alternative. Hauer et al. (1988) demonstrated the effectiveness of this idea by classifying intersection vehicle-to-vehicle accidents into 15 patterns according to the movements of the involved vehicles before collision. They estimated the means for four major types of collision patterns using the flows involved in each collision type. Wang (1998) used a similar classification for accidents at signalized intersections and successfully estimated the risks of rear-end and angle accidents (corresponding to pattern one and six, respectively, in the classification by Hauer et al. (1988)) with a modified negative binomial regression. Summala et al. (1996) classified bicycle accidents at non-signalized T intersections into eight types and analyzed the visual search tasks involved in the major types of movements. Such detailed classifications clearly connect each type of accident to its related flows and environmental factors, and, therefore, make models and explanations more perceptive.

In this study, BMV collisions at four-legged signalized intersections are classified into three types: through motor vehicle related collisions, left-turning motor vehicle related collisions, and right-turning motor vehicle related collisions. Data used for this study were collected from 115 randomly selected intersections in the Tokyo Metropolitan area. For each of the three BMV accident types, the expected accident risk is estimated by the maximum likelihood method using the negative binomial probability formulation. Since traffic travels along the left side of the roadway in Japan, special attention is needed when interpreting the descriptions for countries where traffic travels along the right side.

Section snippets

Bicycle–motor vehicle accident classification

Typically, a BMV collision involves one motor vehicle and one bicycle. In Japan, bicycles share roads with pedestrians rather than motor vehicles. Thus, a BMV accident is most commonly happened when a bicycle is crossing an intersection approach via the bicycle channel, while a motor vehicle is making any of the three possible movements: through, right-turn, or left-turn. Intersection BMV accidents are, therefore, classified into three types based on the movements of the involved motor vehicles:

Data

About 150 four-legged signalized intersections were randomly selected in the Tokyo Metropolitan area at the beginning of this study. The selection was based on intersection size, surrounding land use pattern, and intersection shape (crossing angles, vertical or skewed, of the approaches). Intersection accident histories were not considered. The purpose of the random selection was to obtain samples representing normal situations of intersection traffic safety in Tokyo.

The BMV accident

Modeling the BMV-1 accident risk

For a given intersection i and its approach k, if the risk that a through motor vehicle will be involved in a BMV-1 accident is p1ik (the subscript “1” corresponds to the type code for BMV accidents), then the number of BMV-1 accidents that may occur follows a binomial distribution. The probability of having n1ik accidents isP(n1ik)=f1ikn1ikp1ikn1ik(1−p1ik)f1ik−n1ikwhere i is the intersection index; k the approach index; f1ik through motor vehicle volume of intersection i, approach k; n1ik the

Estimation results and discussion

The unknown coefficients, βj and θj (j=1, 2, and 3), can be estimated using the maximum likelihood estimation (MLE) method. The log-likelihood functions used for model estimations have the general form shown in Eq. (12):l(βjj)=i=1115k=14Γ(njikj)Γ(njik+1)Γ(θj)θj(bjik+exp(−βjXjik))fjikbjikj(bjik+exp(−βjXjik))θjfjikbjikfjikbjikj(bjik+exp(−βjXjik))njikforj=1,2,and3

By choosing j=1, 2, and 3, BMV-1, BMV-2 and BMV-3 models can be estimated, respectively. For each BMV model, initial variables

Summary and conclusions

Intersections are BMV accident-prone locations. Determining the quantitative impacts of causal factors on BMV accidents is an important step in reducing such accidents at intersections. In this study, intersection BMV accidents were classified into three categories based on the movements of the involved motor vehicles. A methodology for BMV accident risk estimation was developed based on probability theory. The methodology was demonstrated with a 4-year (1992–1995) data set collected from 115

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