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Biometrika 2002 89(2):411-421; doi:10.1093/biomet/89.2.411
© 2002 by Biometrika Trust
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Goodness-of-fit test for complete spatial randomness against mixtures of regular and clustered spatial point processes

P.Grabarnik1 and S.N. Chiu2

1 Laboratory of Mathematical Modelling in Ecology, Institute of Physical, Chemical and Biological Problems of Soils Science, Russian Academy of Sciences, Pushchino, Russia pavel.grabar@issp.serpukhov.su 2 Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong snchiu@math.hkbu.edu.hk

A goodness-of-fit test statistic for spatial point processes is proposed and shown to have an asymptotic chi-squared distribution if the underlying point process is Poisson.Simulations demonstrate that the test, when testing for complete spatial randomness, is more sensitive to mixtures of regular and clustered point processes than the tests using the nearest neighbour distance distribution, the second- or third-order characteristics.

Key Words: Clustered point pattern; Forest stand; Goodness of fit; Poisson process; Regular point pattern

Received February 2001. Revised October 2001


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