Modelling with the Space-time Multinomial Probit



Modelling with the Space-time Multinomial Probit

Authors

GARRIDO R A, Pontificia Universidad Catoliea de Chile, Chile

Description

Consider a choice problem with multiple alternatives spatially distributed as well as temporally separated from each other. There is a geographical area divided into R regions (the words region, site and spatial unit will be used here interchangeably) in

Abstract

Consider a choice problem with multiple alternatives spatially distributed as well as temporally separated from each other. There is a geographical area divided into R regions (the words region, site and spatial unit will be used here interchangeably) in which there are amenities (e.g. goods to be consumed, demands to be satisfied, recreational activities, investment opportunities, etc.) which are time dependent. This means that the characteristics of such amenities change over time as they might be considered different options to the decision maker. Despite the fact that the time dimension is continuous (activities can take place, in principle, at any point in time in a given region), it will be discretised into T intervals (not necessarily of equal length). Thus, the temporal-spatial choice set consists of a group of alternatives C = {it}, meaning that an activity can be performed in site i during the time interval t. C has a total of RxT pairs, each one of them representing a space-time alternative. Each element of C has its own attributes, which depend on the characteristics of the specific site and corresponding time interval.

Publisher

Association for European Transport