Abstract
The applicability of the theory of Recurrence Plots and Recurrence Quantification Analysis to short-term traffic flow is demonstrated through three distinct road traffic case studies. The first focuses on short-term traffic patterns of volume and speed in urban freeway sections. The second case study examines urban traffic flow dynamics under different traffic conditions and associates them to specific short-term statistical characteristics. The third case study discusses the use of the Recurrence Analysis for modeling the dynamics of the microscopic car following behavior on freeways. The applicability is discussed at a conceptual level and each case study is then presented. Finally, the modeling implications of the results on traffic flow prediction are discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
L. Edie, Car-following and steady-state theory for non-congested traffic. Oper. Res. 9(1), 66–75 (1961)
T.W. Forbes, Human factor consideration in traffic flow theory. Highway Res. Rec. 15, 60–66 (1963)
G.F. Newell, Instability in dense highway traffic: a review, in Proceedings of the Second International Symposium on Transportation and Traffic Theory. (London, 1965) pp. 73–83
I. Prigogine, R. Herman, Kinetic Theory of Vehicular Traffic (Elsevier, New York, 1971)
J. Treiterer, J. Myers, Hysteresis Phenomenon in Traffic Flow, in Proceedings of the Sixth International Symposium on Transportation and Traffic Theory, ed. by D. Buckley (Elsevier, New York, 1974), pp. 13–38
K. Nagel, M. Schreckenberg, A cellular automaton model for freeway traffic. J. Phys. I (France) 2, 2221 (1992)
G. Newell, A simplified theory of kinematic waves in highway traffic, i. general theory, ii. queuing at freeway bottlenecks, iii. Multi destination flows. Transport. Res. 27B, 281–313 (1993)
B. Kerner, H. Rehborn, Experimental properties of phase transitions in traffic flow. Phys. Rev. Lett. 79, 4030 (1997)
C. Daganzo, M. Cassidy, R. Bertini, Possible explanations of phase transitions in highway traffic. Transport. Res. Part A 33, 365 (1999)
D. Helbing, M. Schreckenberg, Cellular automata simulating experimental properties of traffic flow. Phys. Rev. E 59, R2505 (1999)
H.M. Zhang, A mathematical theory of traffic hysteresis. Transport. Res. Part B: Methodol. 33(1), 1–23 (1999)
E. Tomer, L. Safonov, S. Havlin, Presence of many stable nonhomogeneous states in an inertial car-following model. Phys. Rev. Lett. 84, 382–385 (2000)
J.A. Laval, L. Leclerq, A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic. Philos. Trans. R. Soc. A 368(1928), 4519–4541 (2010)
D. Chowdhury, L. Santen, A. Schadschneider, Statistical physics of vehicular traffic and some related systems. Phys. Rep. 329, 199 (2000)
A. Schadschneider, Statistical physics of traffic flow. Physica A 285, 101–120 (2000)
D. Helbing, Traffic and related self-driven many-particle systems. Rev. Mod. Phys. 73, 1067–1141 (2001)
K. Nagel, P. Wagner, R. Woesler, Still flowing: approaches to traffic flow and traffic jam modeling. Oper. Res. 51, 681–710 (2003)
S. Maerivoet, B. De Moor, Cellular automata models of road traffic. Phys. Rep. 419(1), 1–64 (2005)
G. Orosz, R.E. Wilson, G. Stépán, Traffic jams: dynamics and control. Philos. Trans. R. Soc. A: Math. Phys. Eng. Sci. 368(1928), 4455–4479 (2010)
J.P. Eckmann, S.O. Kamphorst, D. Ruelle, Recurrence plots of dynamical systems. Europhys. Lett. 5(9), 973–977 (1987)
J.P. Zbilut, C.L. Webber Jr., Embeddings and delays as derived from quantification of recurrence plots. Phys. Lett. A 171(3–4), 199–203 (1992)
C.L. Webber Jr., J.P. Zbilut, Dynamical assessment of physiological systems and states using recurrence plot strategies. J. Appl. Physiol. 76, 965 (1994)
N. Marwan, N. Wessel, U. Meyerfeldt, A. Schirdewan, J. Kurths, Recurrence plot based measures of complexity and its application to heart rate variability data. Phys. Rev. E 66(2), 026702 (2002)
N. Marwan, M.C. Romano, M. Thiel, J. Kurths, Recurrence plots for the analysis of complex systems. Phys. Rep. 438(5–6), 237–329 (2007)
M.C. Casdagli, Recurrence plots revisited. Physica D 108, 12–44 (1997)
H. Kantz, T. Schreiber, Non-Linear Time Series Analysis. Cambridge Non-linear Science: Series 7 (Cambridge University Press, Cambridge, 1997)
A.M. Fraser, H.L. Swinney, Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33(2), 1134–1140 (1986)
M.B. Kennel, R. Brown, H.D.I. Abarbanel, Determining embedding dimension for phase–space reconstruction using a geometrical construction. Phys. Rev. A 45, 3403 (1992)
J.P. Zbilut, A. Giuliant, C.L. Webber Jr., Recurrence quantification analysis and principal components in the detection of short complex signals. Phys. Lett. A 237, 131 (1998)
J. Gao, H. Cai, On the structures and quantification of recurrence plots. Phys. Lett. A 270, 75–87 (2000)
M.G. Karlaftis, E.I. Vlahogianni, Memory properties and fractional integration in transportation time-series. Transport. Res. Part C: Emerg. Technol. 17(4), 444–453 (2009)
E.I. Vlahogianni, M.G. Karlaftis, J.C. Golias, Temporal evolution of short-term urban traffic flow: a non-linear dynamics approach. Comput.-Aided Civil Infrastruct. Eng. 22(5), 317–325 (2008)
T. Nagatani, Effect of irregularity on vehicular traffic through a sequence of traffic lights. Phys. A: Stat. Mech. Appl. 387(7), 1637 (2008)
B. Kerner, The physics of traffic: empirical freeway pattern features, engineering applications, and theory, in Understanding Complex Systems Series ed. by J.A. Scott Kelso (Springer, 2004) ISBN: 3-540-20716-3
E.I. Vlahogianni, C.L. Webber Jr., N. Geroliminis, A. Skabardonis, Statistical characteristics of transitional queue conditions in signalized arterials. Trans. Res. Part C 15(6), 345–404 (2007)
R.E. Chandler, R. Herman, E.W. Montroll, Traffic dynamics: studies in car following. Oper. Res. 6(2), 165–184 (1958)
Acknowledgments
Recurrence Quantification Analysis was implemented using RQA v14 (http://homepages.luc.edu/~cwebber/) and CRP Toolbox 5.5 (http://tocsy.pik-potsdam.de/CRPtoolbox/).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Vlahogianni, E.I., Karlaftis, M.G., Golias, J.C. (2015). Recurrence Analysis Applications to Short-Term Macroscopic and Microscopic Road Traffic. In: Webber, Jr., C., Marwan, N. (eds) Recurrence Quantification Analysis. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-07155-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-07155-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07154-1
Online ISBN: 978-3-319-07155-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)