Phases of scaling and cross-correlation behavior in traffic
| Autor: | Mirko Kämpf, Jan W. Kantelhardt, Matthew Fullerton, Cristina Beltran-Ruiz, Fritz Busch |
|---|---|
| Přispěvatelé: | Lehrstuhl für Verkehrstechnik |
| Rok vydání: | 2013 |
| Předmět: |
Statistics and Probability
Motorway traffic phases Time series analysis Cross-correlations Detrended fluctuation analysis Comparison of real-world data and simulations Microscopic traffic model Cross-correlation Series (mathematics) Diagram Traffic model Condensed Matter Physics Traffic flow 01 natural sciences ddc 010305 fluids & plasmas Flow (mathematics) 0103 physical sciences 11. Sustainability Computer Science::Networking and Internet Architecture Statistical physics 010306 general physics Scaling Mathematics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 392:5742-5756 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2013.07.024 |
| Popis: | While many microscopic models of traffic flow describe transitions between different traffic phases, such transitions are difficult to quantify in measured traffic data. Here we study long-term traffic recordings consisting of ≈2900 days of flow, density, and velocity time series with minute resolution from a Spanish motorway. We calculate fluctuations, cross-correlations, and long-term persistence properties of these quantities in the flow–density diagram. This leads to a data-driven definition of (local) traffic states based on the dynamical properties of the data, which differ from those given in standard guidelines. We find that detrending techniques must be used for persistence analysis because of non-stationary daily and weekly traffic flow patterns. We compare our results for the measured data with analysis results for a microscopic traffic model, finding good agreement in most quantities. However, the simulations cannot easily reproduce the congested traffic states observed in the data. We show how fluctuations and cross-correlations in traffic data may be used for prediction, i.e., as indications of increasing or decreasing velocities. |
| Databáze: | OpenAIRE |
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