Properties of pedestrians walking in line - Fundamental diagrams
Asja Jeli\'c, C\'ecile Appert-Rolland, Samuel Lemercier and, Julien Pettr\'e

TL;DR
This study uses high-precision motion capture to analyze pedestrian flow in a line, revealing a piecewise linear relationship between velocity and headway with three distinct behavioral regimes, enhancing understanding of pedestrian dynamics.
Contribution
It demonstrates that the velocity-headway relation is piecewise linear with three regimes, expanding previous linear models to cover larger density ranges.
Findings
Three distinct regimes in pedestrian behavior identified
Transitions occur at approximately 1.1 m and 3 m headways
Data supports piecewise linear velocity-headway relationship
Abstract
We present experimental results obtained for a one-dimensional flow using high precision motion capture. The full pedestrians' trajectories are obtained. In this paper, we focus on the fundamental diagram, and on the relation between the instantaneous velocity and spatial headway (distance to the predecessor). While the latter was found to be linear in previous experiments, we show that it is rather a piecewise linear behavior which is found if larger density ranges are covered. Indeed, our data clearly exhibits three distinct regimes in the behavior of pedestrians that follow each other. The transitions between these regimes occur at spatial headways of about 1.1 and 3 m, respectively. This finding could be useful for future modeling.
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