Taylor's power law for fluctuation scaling in traffic
Abstract
In this article, we study transportation network in Minnesota. We show that the system is characterized by Taylor's power law for fluctuation scaling with nontrivial values of the scaling exponent. We also show that the characteristic exponent does not unequivocally characterize a given road network, as it may differ within the same network if one takes into account location of observation points, season, period of day, or traffic intensity. The results are set against Taylor's fluctuation scaling in the Nagel-Schreckenberg cellular automaton model for traffic. It is shown that Taylor's law may serve, beside the fundamental diagram, as an indicator of different traffic phases (free flow, traffic jam etc.).
Keywords
Cite
@article{arxiv.0909.1901,
title = {Taylor's power law for fluctuation scaling in traffic},
author = {Agata Fronczak and Piotr Fronczak and Maksymilian Bujok},
journal= {arXiv preprint arXiv:0909.1901},
year = {2010}
}
Comments
Presented at the Summer Solstice 2009 International Conference on Discrete Models of Complex Systems Gdansk, Poland, June 22-24, 2009