TY  - JOUR
PY  - 2023//
TI  - A linearizing transformation-based evaluation approach of the fundamental diagram
JO  - Transportation research record
A1  - Liu, Jing
A1  - Zheng, Fangfang
A1  - Wei, Mian
A1  - Bai, Linhan
A1  - Jabari, Saif
SP  - 521
EP  - 532
VL  - 2677
IS  - 11
N2  - The fundamental diagram (FD) describes the functional relationship among macro parameters of traffic flow (e.g., volume, density, and space mean speed). A well-established FD is crucial for traffic operations and management (e.g., traffic estimation and control). However, there is still lacking an efficient method to select a FD and evaluate the fitting performance with empirical data. In this paper, we propose a novel evaluation approach to the FD using a linear transformation method, which can evaluate the fitting performance in the whole density region. It can also provide directions for further optimization of the FD model by performing the same transformation on the empirical dataset and the selected FD. Furthermore, we propose a quantitative indicator, called the weighted coefficient of determination, which can better evaluate the fitting performance of different FDs. The proposed method is tested with freeway field data from loop detectors. The results show that the proposed evaluation method can help select the FD that fits the empirical dataset best. The evaluation results can also be used to analyze the systematic deviation ignored by those FDs that cannot fit the data well to further improve FD models.<p />  <p>Language: en</p>
LA  - en
SN  - 0361-1981
UR  - http://dx.doi.org/10.1177/03611981231166385
ID  - ref1
ER  -