The elements of probabilistic time geography

Abstract

Time geography uses space-time volumes to represent the possible locations of a mobile agent over time in a x-y-t space. A volume is a qualitative representation of the fact that the agent is at a particular time ti inside of the volume's base at ti. Space-time volumes enable qualitative analysis such as potential encounters between agents. In this paper the qualitative statements of time geography will be quantified. For this purpose an agent's possible locations are modeled from a stochastic perspective. It is shown that probability is not equally distributed in a space-time volume, i. e., a quantitative analysis cannot be based simply on proportions of intersections. The actual probabilit..