A stochastic catastrophe model using two-fluid model parameters to investigate traffic safety on urban arterials

► This study successfully applied macroscopic traffic flow parameters (i.e., two fluid model parameters) to represent the quality of urban arterial safety. ► This study introduced a stochastic cusp catastrophe model to estimate the crash rate of study arterials. ► The proposed method in this study can be viewed as a pro-active network screening method that can evaluate the latent hotspots.