Traffic and the visual perception of space

TL;DR

This paper demonstrates that the statistical distribution of spacing between moving objects like cars, pedestrians, and animals is universal, driven by unconscious spatial perception, and supported by a simple mathematical model validated on real data.

Contribution

It introduces a universal model for spacing distribution that applies across different species and objects, highlighting shared perceptual mechanisms.

Findings

Spacing distribution is similar across humans and animals.

The model accurately fits real-world data from various contexts.

Unconscious perception influences spatial arrangements in dense groups.

Abstract

During the attempt to line up into a dense traffic people have necessarily to share a limited space under turbulent conditions. From the statistical point view it generally leads to a probability distribution of the distances between the traffic objects (cars or pedestrians). But the problem is not restricted on humans. It comes up again when we try to describe the statistics of distances between perching birds or moving sheep herd. Our aim is to demonstrate that the spacing distribution is generic and independent on the nature of the object considered. We show that this fact is based on the unconscious perception of space that people share with the animals. We give a simple mathematical model of this phenomenon and prove its validity on the real data that include the clearance distribution between: parked cars, perching birds, pedestrians, cars moving in a dense traffic and the distances inside a sheep herd.