| Article ID: | iaor1994375 |
| Country: | Israel |
| Volume: | 29 |
| Issue: | 4 |
| Start Page Number: | 814 |
| End Page Number: | 824 |
| Publication Date: | Dec 1992 |
| Journal: | Journal of Applied Probability |
| Authors: | Blackwell Paul |
| Keywords: | biology |
This paper considers sets of points from a Poisson process in the plane, chosen to be close together, and their properties. In particular, the perimeter of the convex hull of such a point set is investigated. A number of different models for the selection of such points are considered, including a simple nearest-neighbour model. Extensions to marked processes and applications to modelling animal territories are discussed.