A Copula-Based Joint Model to Capture the Interaction between Mode and Departure Time Choices in Urban Trips

Abstract

Mode and departure time choices are two effective decisions on the urban travel demand. Previous studies have different assumptions for modeling these decisions. Some studies assume that mode and departure time choices are independent and other studies consider nested logit as a joint structure. Comparison of joint and independent models shows that these decisions are interrelated. This paper uses a copula-based joint modeling framework to depict this interrelation. To achieve better fitted model several copula functions including product, AMH and Frank are used. For mode choice and departure time choice models, multinomial logit and bivariate logit models are used, respectively and finally, a BL-MNL joint model is used to create linkage between mode and departure time choices. The data used in this study is drawn from the origin-destination data of Qazvin-Iran in 2010. Estimated copula dependence parameters with high statistical significance, approve the interrelation between error terms of two models.

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