Analysis of point patterns observer with errors

Many natural systems are observed as point patterns in time, space, or space and time. Examples include plant and cellular systems, animal colonies, wildfires, and galaxies. In practice, the locations of the points are not always observed correctly. However, in the point process literature, little attention has been paid to the issue of errors in the location of points. In this talk, we discuss how the observed point pattern may deviate from the actual point pattern, review methods and models that exist to handle such deviations, and give some examples of data observed with errors.

Based on joint work with Peter Guttorp (Norwegian Computing Center), Janine Illian (University of Glasgow), Joel Kostensalo (Natural Resources Institute Finland (Luke), Mikko Kuronen (Luke), Mari Myllymäki (Luke), and Thordis Thorarinsdottir (University of Oslo).