The foundation of Intelligent Transportation Systems (ITS) analysis rests heavily upon statistical measures, providing a framework for understanding and optimising traffic flow. We diligently calculate averages, medians and percentiles, with the 85th percentile of vehicle speeds holding particular significance.
This metric allows us to design roads and traffic management systems that accommodate a substantial majority of drivers, ensuring safety and efficiency for a large segment of the population. However, a critical oversight often plagues our analyses: the neglect of outliers, those data points that deviate significantly from the norm. This omission, while seemingly minor, can have profound implications, particularly for vulnerable road users and the overall robustness of our ITS deployments.

The traditional focus on the 85th percentile, while undeniably valuable, perpetuates a "one-size-fits-most" approach.
This approach, by definition, marginalises those whose needs and behaviours fall outside the statistical mainstream. Vulnerable road users, such as pedestrians with mobility impairments, often present unique challenges that are not captured by typical distributional analyses. For instance, the standard assumptions about walking speed or reaction time may not apply to individuals with physical limitations. This can result in infrastructure designs that fail to adequately address their needs, leading to safety hazards and accessibility barriers. A pedestrian crossing design based on the speed of an average pedestrian may not provide adequate signal times that could prove daunting to those with mobility impairments. These, therefore, are not mere theoretical concerns, they represent tangible obstacles faced by real people every day.

Furthermore, the concept of outliers extends beyond accessibility concerns. It necessitates a broader exploration of the extreme ends of the spectrum, venturing into the "just sometimes" scenarios. These rare occurrences, often dismissed as anomalies, harbour valuable insights into the limitations and potential enhancements of our systems. Consider, for example, the behaviour of vehicles at exceptionally high speeds, far exceeding the 85th percentile. Analysing these extreme cases can reveal critical vulnerabilities in road design, such as inadequate curve radii or insufficient stopping distances. Similarly, studying the performance of our systems under extreme weather conditions, such as blizzards or torrential downpours, can expose unforeseen weaknesses in sensor reliability or control algorithms. Rare traffic incidents, like multi-vehicle pileups or hazardous material spills, can highlight the inadequacies of our incident management strategies.

The exploration of these outliers is not merely an academic exercise; it has practical implications for the robustness and resilience of our ITS deployments. By understanding the behaviour of our systems under extreme conditions, we can develop more robust and adaptable solutions. This can lead to the design of infrastructure that is not only efficient for the majority but also safe and accessible for all users, including those with unique needs. For instance, incorporating real-time weather data into traffic management systems can enable dynamic speed limit adjustments and lane closures during severe weather events. Similarly, developing adaptive traffic signal timing algorithms that account for pedestrian variability can improve safety for all users.
Moreover, by studying the extremes, we can uncover hidden patterns and correlations that might otherwise remain obscured. For example, analysing the impact of rare traffic incidents on network congestion can inform the development of more effective incident management strategies. By examining the propagation of delays and the effectiveness of different response protocols during these events, we can optimise traffic flow and minimise disruption. Similarly, examining the behaviour of autonomous vehicles in extreme weather conditions can reveal limitations in their sensor capabilities and control algorithms. By understanding how these vehicles respond to challenging environments, we can refine their design and improve their safety.

Ultimately, the inclusion of outlier analysis in our ITS design process represents a shift towards a more comprehensive and inclusive approach. It acknowledges that the average user does not represent the entirety of the population and that the extreme cases can provide valuable insights into the strengths and weaknesses of our systems. This broader perspective mandates a move away from a purely statistical approach towards a more holistic understanding of the complex interactions within our transportation networks. This includes incorporating qualitative data, user feedback and real-world observations to supplement our quantitative analyses.

To assist with this, engagement with user groups representing vulnerable populations can provide invaluable insights into their specific needs and challenges. Conducting simulations of rare traffic incidents, such as multi-vehicle pileups or hazardous material spills, can help us identify potential vulnerabilities in our incident response protocols. Similarly, deploying sensor networks that capture real-time environmental data, such as weather conditions and road surface conditions, can enable us to develop more adaptive and resilient ITS solutions.
In conclusion, while the 85th percentile remains a valuable tool for ITS design, it is imperative that we look beyond this statistical measure and embrace the extremes. The outliers, the "just sometimes" moments and the experiences of vulnerable road users hold crucial insights into the limitations and potential enhancements of our systems. By adopting a more comprehensive and inclusive approach, we can create transportation systems that are not only efficient and safe but also equitable and resilient. We must remember that the 85th percentile is useful, but it does not represent everyone and that sometimes the most important lessons are learned when looking at the edges, the extremes, the outliers.
