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Biometrika 1976 63(3):483-491; doi:10.1093/biomet/63.3.483
© 1976 by Biometrika Trust
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A conditioned distance ratio method for analyzing spatial patterns

TREVOR F. COX and TOBY LEWIS

Department of Mathematical Statistics, University of Hull

A new distance-based method is proposed for investigating the pattern in the plane formed by points, which may be assumed to be the positions of centres of trees in a forest stand. For each of a number of randomly selected origins the distance from the origin to the nearest tree, and the distance of this tree to its nearest neighbour are measured, and their ratio calculated. The values of this ratio which exceed one-half are shown to have the property of distinguishing between regular, random and clustered patterns; the values which are less than one-half are shown to have the same distribution for such patterns. A number of sets of data on tree positions are analyzed.

Key Words: Aggregation • Distance method • Forest stand • Lattice pattern • Nearest neighbour • Poisson forest • Two-dimensional point process


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