Development of Time Allocation Model with Endogenous Threshold of Activity Participation in a Depopulated Region

Abstract

This study proposes a time allocation model with endogenous threshold of activity participation in the context of depopulated regions. The threshold is derived by introducing a marginal utility of activity participation with the form of normal density function, which can reflect both increasing and decreasing utilities characteristics of the marginal utility. The probabilities of activity participation and non-participation are defined using the aforementioned threshold, as well as the time allocated to each activity. The effectiveness of the proposed model is confirmed based on an activity diary data. Influential factors to both activity participation and non-participation are clarified. It is found that woman's shopping activity is more restricted by travel mode compared with man's.