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Point pattern analysis

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Point Pattern Analysis

PPA is the study of the spatial arrangements of points in (usually 2-dimensional) space[1].

Location

A point in 2 dimensional space is a pair of real numbers (x1, x2) specifying location on the 2 orthogonal axes of a coordinate system.

Randomness

A fundamental problem of PPA is inferring whether a given arrangement is merely random or the result of some process. The picture illustrates patterns of 256 points using four point processes. The clustered process results in all points having the same location.

Four point patterns

Point events

Citations

References

  1. ^ Getis and Boots

Cressie, N. A. C. and C. K. Wikle (2011) Statistics for spatio-temporal data. Hoboken, N.J., Wiley. ISBN 9780471692744