Researchers at MIT have made significant progress in understanding crowd dynamics, identifying a key measure called ‘angular spread’ that determines whether pedestrian traffic is ordered or disordered.
As people navigate crowded spaces, such as plazas, crosswalks, or airport concourses, it’s essential to understand the underlying dynamics that govern pedestrian flow. Researchers at MIT have made significant progress in this area, identifying a key measure called ‘angular spread‘ that determines whether pedestrian traffic is ordered or disordered.
Pedestrians engage in various behaviors while walking, including following traffic rules, using pedestrian crossings, and being aware of surroundings.
A study found that pedestrians who use headphones or mobile devices are more likely to be involved in accidents.
Additionally, pedestrians often prioritize reaching their destination quickly over safety, leading to reckless behavior such as jaywalking.
According to the World Health Organization (WHO), pedestrian fatalities account for 22% of all road traffic deaths worldwide.
What is Angular Spread?
Angular spread refers to the number of people walking in different directions within a given crowd. A small angular spread indicates that most pedestrians are walking in opposite directions, meeting oncoming traffic head-on, resulting in orderly, lane-like traffic. Conversely, a larger angular spread suggests that there are many more directions for pedestrians to take, increasing the likelihood of disorder.
The Transition from Order to Disorder
Using mathematical analysis and simulations, researchers found that the transition from ordered to disordered flow occurs when the angular spread exceeds 13 degrees. This means that if an average person veers more than 13 degrees away from straight ahead, the pedestrian flow can tip into disorder, with little lane formation.
Experimental Validation

To validate their findings, the researchers conducted controlled crowd experiments in a gymnasium, where they recorded the movements of pedestrians using an overhead camera. The results confirmed that the angular spread played a crucial role in determining the orderliness of pedestrian flow, supporting the theoretical predictions.
Implications for Public Spaces
The identification of angular spread as a key factor in determining pedestrian flow has significant implications for the design of public spaces. By understanding when and how crowd dynamics change, planners can create safer and more efficient thoroughfares that promote orderly flow. This work may also inform the development of new technologies, such as synthetic cells that can respond to light, which could have applications in wound healing or drug delivery.
Public spaces refer to areas that are open and accessible to the general public, such as parks, plazas, streets, and other community areas.
These spaces play a crucial role in fostering social interaction, economic growth, and community development.
According to a study by the Urban Land Institute, 70% of Americans consider public spaces essential for their quality of life.
Public spaces can be categorized into four types: urban parks, plazas, streets, and civic spaces.
Future Research Directions
The researchers plan to test their predictions on real-world crowds and pedestrian thoroughfares, analyzing footage and comparing it with their theory. This work has the potential to provide a simpler guideline or rules of thumb for designing public spaces that prioritize safe and efficient pedestrian flow.