Estimating probability surfaces for geographical point data: an adaptive kernel algorithm
Computers & Geosciences
International Journal of Geographical Information Science
Space-time opportunities for multiple agents: a constraint-based approach
International Journal of Geographical Information Science
A kernel density estimation method for networks, its computational method and a GIS-based tool
International Journal of Geographical Information Science
Towards a probabilistic time geography
Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Network density estimation: analysis of point patterns over a network
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
What is the region occupied by a set of points?
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
Detecting movement patterns using Brownian bridges
Proceedings of the 20th International Conference on Advances in Geographic Information Systems
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This research presents a time-geographic method of density estimation for moving point objects. The approach integrates traditional kernel density estimation (KDE) with techniques of time geography to generate a continuous intensity surface that characterises the spatial distribution of a moving object over a fixed time frame. This task is accomplished by computing density estimates as a function of a geo-ellipse generated for each consecutive pair of control points in the object's space-time path and summing those values at each location in a manner similar to KDE. The main advantages of this approach are: (1) that positive intensities are only assigned to locations within a moving object's potential path area and (2) that it avoids arbitrary parameter selection as the amount of smoothing is controlled by the object's maximum potential velocity. The time-geographic density estimation technique is illustrated with a sample dataset, and a discussion of limitations and future work is provided.