When legs and bodies synchronize: Two-level collective dynamics in dense crowds

TL;DR

This paper introduces a minimal two-level pedestrian model coupling upper body and legs dynamics to better understand collective behaviors in ultra-dense crowds, capturing phenomena like waves and rotation.

Contribution

It presents a novel coupled biomechanical model that explains emergent crowd behaviors, bridging individual balance mechanisms with macroscopic flow dynamics.

Findings

Model reproduces self-organized waves

Captures large-scale rotational motion

Links biomechanics to crowd flow patterns

Abstract

Ultra-dense crowds, in which physical contact between people cannot be avoided, pose major safety concerns. Nevertheless, the underlying dynamics driving their collective behaviours remain poorly understood. Existing dense crowd models, mostly two-dimensional and contact-based, overlook biomechanical mechanisms that govern individual balance motion. In this study, we introduce a minimal two-level pedestrian model that couples upper body and legs dynamics, allowing us to capture transitions between balanced and unbalanced states at the individual scale. Whereas previous models fail to achieve it, this coupling gives rise to emergent collective behaviours observed empirically, such as self-organized waves and large-scale rotational motion within the crowd. The model bridges basic individual biomechanical concepts and macroscopic flow dynamics, offering a new framework for modelling and understanding collective motions in ultra-dense crowds.