Comparative Study of Logit and Weibit Model in Travel Mode Choice

Abstract

To quantify travel demand, it is necessary to understand the travelers' mode choice behavior. The Logit model is widely used in travel mode choice because of its closed form. Nevertheless, the variance of the utility function is unchanged in Logit-based models, indicating that the perceived error of the traveler on the option is fixed as the utility changes, which is inconsistent with the actual situation. While in Weibit-based models, travelers' perception error of options grows with the increase of the utility. Moreover, the relative difference is captured, and the asymmetric property exists, which is different from Logitbased models. This paper contributes to the literature by comparing the performances of the Logit-based and Weibit-based models. In this article, six discrete choice models for travel mode choice are discussed based on data of Swiss metro, which includes multinomial Logit model, multinomial Weibit model, and derived models. The Weibit-based models outperform the Logit-based models, considering with the adjusted likelihood ratio index of all models in this paper. INDEX TERMS Travel mode choice, data model, Logit model, Weibit model, absolute utility differences, relative utility differences.

Static congestion pricing considering the cumulative impact of day-to-day dynamics with Weibit adjustment process

“…This heterogeneous perception variance in the Weibit model is more reasonable than the fixed and identical variance of all routes in the Logit model, because travelers on longer routes have larger perception variances than those on shorter routes in reality (Sheffi, 1985). Some recent empirical studies have verified the above advantage of the Weibit model over the Logit model in various travel choice problems (Kurauchi and Ido, 2017;Li et al, 2020;Tinessa et al, 2020).…”

Understanding Travel Mode Choice Behavior: Influencing Factors Analysis and Prediction with Machine Learning Method

“…Ma et al [44] proposed a nested logit joint model and found that rich people have a greater probability of commuting by taxi or driving alone. Li et al [45] comparatively analyzed travel mode choice using logit and weibit models and showed that males prefer to travel by car more than females. Al-Salih and Esztergar-Kiss [46] proposed a multinomial logit model and a nested logit model with a utility function and found that trip distance was the most significant variable.…”

Complementing or competing with public transit? Evaluating the parameter sensitivity of potential Mobility-as-a-Service (MaaS)urban users in Germany, the Czech Republic,Poland, and the United Kingdom with a mixed choice model

“…For decades, commuting behavior has been intensively studied using a variety of methodological approaches [21]. The logit model proposed by [22] is commonly used and perhaps the most prevalent when considering the choice of mode of travel [23].…”