Congestions and spectral transitions in time-lagged correlations of motorway traffic

Gabor B. Hollbeck, René Pilarczyk, Shanshan Wang, Michael Schreckenberg and Thomas Guhr

Physica A: Statistical Mechanics and its Applications, 2024, vol. 649, issue C

Abstract: The understanding of congestions contributes to the development of effective traffic management strategies. The propagation of congestions from a motorway section to the neighboring ones results in correlations. Here, we study symmetrized time-lagged correlation matrices and show how their spectral properties reveal congestion durations. We first carry out an empirical analysis of velocities for two local motorway networks, then set up a numerical simulation for indicator time series of traffic phases, and further propose a simplified, analytical model capturing various scenarios of congestion durations. Our empirical analysis reveals a transition behavior for the dominant eigenvalue as function of time lags, reflecting changes in traffic dynamics. Furthermore, both the numerical simulations and the analytical model disclose a nonlinear relation between the spectral transition and the congestion duration.

Keywords: Time-lagged correlation; Spectral transition; Congestion duration; Traffic network; Complex system (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:649:y:2024:i:c:s0378437124004618

DOI: 10.1016/j.physa.2024.129952

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