Title
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 t i inside of the volume's base at t i . 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 probability distribution depends on the degree of a priori knowledge about the agent's behavior. This paper starts with the standard assumption of time geography (no further knowledge), and develops the appropriate probability distribution by three equivalent approaches. With such a model any analysis of the location of an agent, or relations between the locations of two agents, can be improved in expressiveness as well as accuracy.
Year
DOI
Venue
2011
10.1007/s10707-010-0108-1
GeoInformatica
Keywords
Field
DocType
Time geography,Space–time–cone,Topological relations
Data mining,Data processing,A priori and a posteriori,Mobile agent,Time geography,Probability distribution,Probabilistic logic,Geography,Cartography,Expressivity
Journal
Volume
Issue
ISSN
15
3
1384-6175
Citations 
PageRank 
References 
15
0.75
16
Authors
2
Name
Order
Citations
PageRank
Stephan Winter164345.20
Zhang-Cai Yin2402.94