“…The adoption of aggregate macroscopic fundamental diagrams (MFD) and collective network traffic analysis offers a comprehensive and cost-efficient solution to address this gap. Seminal works by Daganzo and Geroliminis (2008), Gu et al (2020), Geroliminis and Daganzo (2008), Huang et al (2021Huang et al ( , 2022aHuang et al ( , 2022b, Loder et al (2017), Zhao et al (2021), and Zhao et al (2022) have formulated and tested this paradigm shift, demonstrating its potential in effectively representing traffic system dynamics with fewer data needs and analytical complications. Recently, Cao and Menendez (2015) and Cao et al (2019) introduced a macroscopic model that incorporates MFD with dynamic phases, drawing inspiration from parking equilibrium concepts proposed by Anderson and De Palma (2004), Arnott et al (1991), andArnott et al (1993).…”