TY  - JOUR
PY  - 2024//
TI  - Structure of road networks and the shape of the macroscopic fundamental diagram
JO  - Physical review. E
A1  - Taillanter, Erwan
A1  - Schadschneider, Andreas
A1  - Barthélemy, Marc
SP  - e014314
EP  - e014314
VL  - 109
IS  - 1-1
N2  - The macroscopic fundamental diagram (MFD) is a large-scale description of the traffic in an urban area and relates the average car flow to the average car density. This MFD has been observed empirically in several cities but how its properties are related to the structure of the road network has remained unclear so far. The MFD displays in general a maximum flow q^{*} for an optimal car density k^{*} which are crucial quantities for practical applications. Here, using numerical modeling and dimensional arguments, we propose scaling laws for these quantities q^{*} and k^{*} in terms of the road density, the intersection density, the average car size and the maximum velocity. This framework is able to explain the scaling observed empirically for several cities in the world, such as the scaling of k^{*} with the road density, the relation between q^{*} and k^{*} and the impact of buses on the overall capacity q^{*}. This work opens the way to a better understanding of the traffic on a road network at a large urban scale.<p />  <p>Language: en</p>
LA  - en
SN  - 2470-0045
UR  - http://dx.doi.org/10.1103/PhysRevE.109.014314
ID  - ref1
ER  -