The Fundamental Diagram of Pedestrian Movement Revisited

Abstract

The empirical relation between density and velocity of pedestrian movement is not completely analyzed, particularly with regard to the `microscopic' causes which determine the relation at medium and high densities. The simplest system for the investigation of this dependency is the normal movement of pedestrians along a line (single-file movement). This article presents experimental results for this system under laboratory conditions and discusses the following observations: The data show a linear relation between the velocity and the inverse of the density, which can be regarded as the required length of one pedestrian to move. Furthermore we compare the results for the single-file movement with literature data for the movement in a plane. This comparison shows an unexpected conformance between the fundamental diagrams, indicating that lateral interference has negligible influence on the velocity-density relation at the density domain $1m^{-2}<\rho <5m^{-2}$. In addition we test a procedure for automatic recording of pedestrian flow characteristics. We present preliminary results on measurement range and accuracy of this method.

13 pages, 9 figures

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• Social Force Model for Pedestrian Dynamics
• Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
• Discretisation effects and the influence of walking speed in cellular automata models for pedestrian dynamics

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