Exploring Crossing Times and Congestion Patterns at Scramble Intersections in Pedestrian Dynamics Models: A Statistical Analysis

TL;DR

This paper presents a statistical analysis of pedestrian crossing times and congestion patterns at scramble intersections, emphasizing the roles of pedestrian flexibility and density in transition behaviors.

Contribution

It introduces a model that captures the statistical complexities of pedestrian dynamics at urban intersections, highlighting key factors influencing mobility transitions.

Findings

Pedestrian flexibility significantly affects crossing time variability.

Population density influences the transition between mobile and immobile states.

Directed mobility serves as an effective order parameter for behavior transitions.

Abstract

Scramble intersections stand as compelling examples of complex systems, shedding light on the pressing challenge of urban mobility. In this paper, we introduce a model aimed at unraveling the statistical intricacies of pedestrian crossing times and their fluctuations in scenarios commonly encountered in major urban centers. Our findings offer snapshots that faithfully mirror real-world situations. Significantly, our results underscore the importance of two key factors: pedestrian flexibility and population density. These factors play a pivotal role in triggering the transition between mobile and immobile behavior in the steady state, a concept expounded upon within this paper through a straightforward order parameter known as directed mobility.