
132 Spatial Point Patterns: Methodology and Applications with R
5.3 Complete spatial randomness
5.3.1 Introduction
Figure 5.5. Completely random point patterns: 10 simulated realisations of the Poisson point
process with intensity 50 in the unit square.
A point proc e ss which deserves to be called ‘completely random’ is illustrated in Figure 5.5.
Each panel is a realisation of the homogeneous Poisson point process, also called complete spatial
randomness (CSR). The process is cha racterised by two key properties:
homogeneity: the points have no preference for any spatial location;
independence: information about the outcome in one region of space