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January 1, 1977Journal of the Royal Statistical Society Series B (Statistical Methodology)2,543 citations

Modelling Spatial Patterns

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BRB. D. Ripley

Key Points

  • Review theoretical stochastic models for mapped spatial point patterns and evaluate statistical methods for testing model fit.
  • Reviewed stochastic models developed for the comprehensive analysis of mapped spatial point patterns.
  • Evaluated goodness-of-fit testing frameworks to determine how well theoretical distributions match empirical spatial data.
  • Illustrated model properties and testing procedures using multiple spatial pattern case studies.
  • Demonstrated that specific spatial point process models function as the equilibrium distributions of continuous spatial-temporal stochastic systems.
  • Established analytical frameworks that maximize information extraction from mapped data relative to traditional quadrat and distance sampling methods.

Abstract

Summary Spatial point processes may be analysed at two levels. Quadrat and distance methods were designed for the sampling of a population in the field. In this paper we consider those situations in which a map of a spatial pattern has been produced at some cost and we wish to extract the maximum possible information. We review the stochastic models which have been proposed for spatial point patterns and discuss methods by which the fit of such a model can be tested. Certain models are shown to be the equilibrium distributions of spatial–temporal stochastic processes. The theory is illustrated by several case studies.

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Cite This Study

B. D. Ripley (1977) studied this question.

synapsesocial.com/papers/6a001fc3da5c1eb07f2d9a71https://doi.org/10.1111/j.2517-6161.1977.tb01615.x
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