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Using principal curves to analyse traffic patterns on freeways

Einbeck, Jochen; Dwyer, Jo

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Authors

Jo Dwyer



Abstract

Scatterplots of traffic speed versus flow have caught considerable attention over the last decades due to their characteristic half-moon like shape. Modelling data of this type is difficult as both variables are actually not a function of each other in the sense of causality, but are rather jointly generated by a third latent variable, which is a monotone function of the traffic density. We propose local principal curves as a tool to describe and model speed-flow data, which takes this viewpoint into account. We introduce the concept of calibration curves to determine the relationship between the latent variable (represented by the parametrization of the principal curve) and the traffic density. We apply local principal curves to a variety of speed-flow diagrams from Californian freeways, including some so far unreported patterns

Citation

Einbeck, J., & Dwyer, J. (2011). Using principal curves to analyse traffic patterns on freeways. Transportmetrica, 7(3), 229-246. https://doi.org/10.1080/18128600903500110

Journal Article Type Article
Publication Date May 1, 2011
Deposit Date Nov 9, 2010
Publicly Available Date Mar 29, 2024
Journal Transportmetrica
Print ISSN 1812-8602
Electronic ISSN 1944-0987
Publisher Taylor and Francis Group
Peer Reviewed Peer Reviewed
Volume 7
Issue 3
Pages 229-246
DOI https://doi.org/10.1080/18128600903500110
Keywords Fundamental diagram, Capacity, Local principal curves, Smoothing.
Publisher URL http://www.maths.dur.ac.uk/~dma0je/Papers/einbeck_dwyer_transportmetrica10.pdf

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Accepted Journal Article (752 Kb)
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Copyright Statement
This is an electronic version of an article to be published in Einbeck, Jochen and Dwyer, Jo (2010) 'Using principal curves to analyze traffic patterns on freeways.', Transportmetrica. Transportmetrica is available online at: http://www.tandf.co.uk/journals/ttra with the open URL of your article.





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