The fundamental diagram of pedestrian flow is an empirical and theoretical relationship that describes how macroscopic flow quantities — typically pedestrian flow rate (flux), walking speed, and density — interrelate under varying crowd conditions, commonly visualized as a curve or set of curves plotting speed or flow against density. It serves as a critical benchmark for validating pedestrian and crowd dynamics models, as any credible simulation framework, whether agent-based, cellular automata-based, or mesoscopic kinetic, must reproduce its characteristic features such as the decrease in walking speed and the capacity drop at high densities. Key variants reflect differences in measurement context and modeling assumptions, including unidirectional versus bidirectional flow diagrams, corridor-specific versus open-space formulations, and culture- or environment-dependent empirical datasets (such as those from Weidmann, Seyfried, or HiDaC studies) that reveal how local geometry, crowd composition, and emotional state can shift the precise shape of the relationship.
Source Papers
- A high-resolution meshfree particle method for numerical investigation of second-order macroscopic pedestrian flow models ↗ — A high-resolution meshfree particle method for numerical inv
- A hybrid mesoscopic/agent-based model for crowd dynamics with emotional contagion ↗ — A hybrid mesoscopic/agent-based model for crowd dynamics wit
- Continuum theory for pedestrian traffic flow: Local route choice modelling and its implications ↗ — Continuum theory for pedestrian traffic flow: Local route ch
- Microscopic insights into pedestrian motion through a bottleneck, resolving spatial and temporal variations ↗ — Microscopic insights into pedestrian motion through a bottle
- Modeling spatial patterns in a moving crowd of people using data-driven approach—A concept of Interplay Floor Field ↗ — Modeling spatial patterns in a moving crowd of people using
- Physics of Human Crowds ↗ — Physics of Human Crowds
- Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm ↗ — Revisiting Hughes’ dynamic continuum model for pedestrian fl
- Social force models for pedestrian traffic – state of the art ↗ — Social force models for pedestrian traffic – state of the ar