“…So far, literature has been primarily focused on a single mode: cars (Daganzo and Geroliminis, 2008;Geroliminis and Daganzo, 2008;Mahmassani et al, 2013;Loder et al, 2019a). 1 Some studies are already investigating interactions between cars and buses (Geroliminis et al, 2014;Loder et al, 2017;Castrillon and Laval, 2018;Dakic et al, 2020;Tilg et al, 2020), and cars and pedestrians (Daganzo and Knoop, 2016), but no approach exists to derive multi-modal MFDs for a vector of vehicle accumulations with more than two modes (in most cases buses and cars). In this paper, we contribute with such a vector-based approach that is based on the idea of quantifying pairwise the interaction delays of interacting modes and link them to the MFD shape like a copula function.…”