A global descriptor of spatial pattern interaction in the galaxy distribution

Details A global descriptor of spatial pattern interaction in the galaxy distribution A global descriptor of spatial pattern interaction in the galaxy distribution

1997-12-06

arxiv.org/abs/astro-ph/9712098v2

Astrophys.J. 513 (1999) 543-548

Astronomy and Astrophysics

Astrophysics

Significantly enhanced version, 14 pages, LaTeX using epsf, aaspp4, 7 eps-figures, accepted for publication in the Astrophysic

Scientific paper

10.1086/306902

We present the function J as a morphological descriptor for point patterns formed by the distribution of galaxies in the Universe. This function was recently introduced in the field of spatial statistics, and is based on the nearest neighbor distribution and the void probability function. The J descriptor allows to distinguish clustered (i.e. correlated) from ``regular'' (i.e. anti-correlated) point distributions. We outline the theoretical foundations of the method, perform tests with a Matern cluster process as an idealised model of galaxy clustering, and apply the descriptor to galaxies and loose groups in the Perseus-Pisces Survey. A comparison with mock-samples extracted from a mixed dark matter simulation shows that the J descriptor can be profitably used to constrain (in this case reject) viable models of cosmic structure formation.

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