A farewell to brake reaction times? Kinematics-dependent brake response in naturalistic rear-end emergencies
Graphical abstract
Introduction
When the driver of a vehicle is suddenly faced with an unexpected, critical risk of collision, how does he or she respond? If evasive maneuvering is applied, when does it begin? How is it carried out?
Conclusive answers to these questions have been a long-standing objective of traffic safety research, and have a range of implications: In the design of roads, vehicles, or vehicle support systems for safety and automation, quantitative models of driver behavior can be very directly applied, for example in system algorithms or in computer simulations of crashes (e.g., Perel, 1982, Fambro et al., 2000a, MacAdam, 2001, Brännström et al., 2010, Markkula, 2015). In the broader study of traffic safety, the way one thinks about drivers emergency responses can also be important in more subtle ways, for example by shaping design of experiments and subsequent interpretations of results, or by guiding ones analysis of actual crashes to understand their causation (e.g., Naing et al., 2009, Engström et al., 2013b), sometimes for purposes of litigation (e.g., Maddox and Kiefer, 2012).
The drivers reaction time (RT) is a concept that traffic safety researchers have repeatedly made use of in models, when designing studies, and when analyzing driver behavior close to crashes. The RT usually represents the time duration from the appearance of a potential hazard, such as a lead vehicles brake lights activating, until the driver under study initiates some form of evasive response (Society of Automotive Engineers, 2015). Especially for braking responses, there is a considerable literature measuring brake reaction times (BRTs) and how they are influenced by factors such as driver age, gender, cognitive load, situation urgency, number of stimuli for the driver to consider, warnings, and so on (see for example the studies by Barrett et al., 1968, Olson and Sivak, 1986, Fambro et al., 1998, McGehee et al., 1999, Lee et al., 2002, Jurecki and Staſczyk, 2009, Jurecki and Staſczyk, 2014, Fitch et al., 2010, Ljung Aust et al., 2013; and the reviews by Olson, 1989, Green, 2000, Muttart, 2003, Muttart, 2005).
Greens much-cited review (2000) aimed to determine typical RT values for different driving conditions. Expectancy was identified as the major factor determining BRT, with estimated values of 0.700.75 s for fully anticipated events, 1.25 s for unexpected but common events such as brake light onsets, and 1.5 s for surprise events such as sudden path intrusions. These canonical, situation-independent, BRT values drew criticism from Summala (2000), who pointed to evidence that BRTs for highly unexpected events can, if the traffic scenarios in question are sufficiently urgent, decrease to 1 s or lower. Similar dependencies between situation kinematics (the relative motion of involved road users, in terms of distances, speeds, etc.) and BRT have been reviewed by Muttart, 2003, Muttart, 2005 and have also been demonstrated in more recent test track and driving simulator studies (Jurecki and Staſczyk, 2009, Jurecki and Staſczyk, 2014, Engström, 2010, Ljung Aust et al., 2013). However, a detailed, large-scale analysis is still outstanding, especially for naturalistic (i.e. real-traffic) emergencies.
As for what happens beyond the point of brake onset, it has been reported from both controlled and naturalistic studies that drivers will often, but not always, show maximum deceleration levels close to their vehicles limits on the given road (McGehee et al., 1999, Fambro et al., 2000b, Lee et al., 2007). From some controlled studies, there are also reports of progressive or step-wise ramping up towards these maximum levels (Prynne and Martin, 1995, Fambro et al., 2000b, Lee et al., 2002). Again, a detailed, quantitative account of emergency braking control is lacking, especially for naturalistic data.
This paper presents time-series analyses of situation kinematics and driver braking behavior observed in naturalistic rear-end crashes and near-crashes, continuing from the work by Victor et al. (2015, pp. 7684). They showed, for one set of naturalistic passenger car data, that when visually distracted drivers looked back to the road to find a rear-end collision threat, the time delay before they exhibited any discernible physical reaction to the situation was strongly kinematics-dependent. Here, these results are extended by including (1) not only driver physical reaction but also actual measured deceleration behavior, (2) events without any off-road eye glances, and (3) an additional data set of recorded events that includes truck and bus drivers in addition to car drivers.
It will be described here how drivers deceleration behavior in the studied events varied markedly with situation kinematics, in certain rather specific manners, across data sets and vehicle types. Statistical-level descriptions of this variability, potentially useful in quantitative approaches to traffic safety, will be provided. Possible psychological mechanisms behind the observed behaviors will be discussed, and it will also be argued that the findings make the concept of a brake reaction time seem inadequate as a means for describing and understanding driver behavior in surprise emergencies.
Section snippets
Data sets
The naturalistic events analyzed here came from two different sources: passenger car events from the Second Strategic Highway Research Program (SHRP 2), and passenger car, heavy truck, and bus events from the Analysis of Naturalistic External Datasets (ANNEXT) project. Table 1 provides an overview of the number of events per data set and vehicle type. In the remainder of this paper, the truck and bus events will be combined and treated together.
Within SHRP 2, the worlds largest naturalistic
Results
Below, the results reported in Victor et al. (2015) on physical reaction timing in the SHRP 2 data set will first be reiterated and extended with the ANNEXT data. Next, it will be described to what extent the piecewise linear model was able to describe the naturalistic deceleration behavior. Finally, the obtained model fits will be analyzed with respect to deceleration onset timing (tB), deceleration ramp-up (jB), and maximum deceleration (a1), and summarized by means of probability
Discussion
The present analyses have provided several novel insights into driver braking behavior in emergency situations. One important finding is that drivers who returned their eye gaze to the forward direction at some point before the crash almost always applied their brakes in response to the collision threat (96% of all events, 90% if considering only crashes). Previously, based on crash statistics from police reports, it has been proposed that it is fairly common for crash-involved drivers to not
Conclusions
The model-based analyses of naturalistic rear-end near-crashes and crashes presented here have provided a number of novel insights into driver emergency braking: (1) Drivers who looked toward the collision threat before impact did, with few exceptions, initiate defensive braking. (2) Brake onset almost always occurred within ±0.5 s of a visually discernible physical reaction by the driver to the collision threat. (3) Crucially, brake onset timing defied description in terms of a single value or
Acknowledgments
This work was supported by a grant from the VINNOVA Swedish Governmental Agency for Innovation Systems (2009-02766). The 2nd Strategic Highway Research Program (SHRP 2) Naturalistic Driving Study data were provided under Project 8A, Analysis of Naturalistic Driving Study Data: Safer Glances, Driver Inattention, and Crash Risk, Transportation Research Board of the National Academies of Science (2014). The findings and conclusions of this paper are those of the authors and do not necessarily
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