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spatstat (version 1.63-0)

repul.dppm: Repulsiveness Index of a Determinantal Point Process Model

Description

Computes a measure of the degree of repulsion between points in a determinantal point process model.

Usage

repul(model, …)

# S3 method for dppm repul(model, …)

Arguments

model

A fitted point process model of determinantal type (object of class "dppm").

Ignored.

Value

A numeric value or a pixel image.

Details

The repulsiveness index μ of a determinantal point process model was defined by Lavancier, Moller and Rubak (2015) as μ=λ(1g(x))dx where λ is the intensity of the model and g(x) is the pair correlation function, and the integral is taken over all two-dimensional vectors x.

Values of μ are dimensionless. Larger values of μ indicate stronger repulsion between points.

If the model is stationary, the result is a single number.

If the model is not stationary, the result is a pixel image (obtained by multiplying the spatially-varying intensity by the integral defined above).

References

Lavancier, F., Moller, J. and Rubak, E. (2015), Determinantal point process models and statistical inference. Journal of Royal Statistical Society: Series B (Statistical Methodology), 77, 853--877.

See Also

dppm

Examples

Run this code
# NOT RUN {
  jpines <- residualspaper$Fig1
  
# }
# NOT RUN {
  fit <- dppm(jpines ~ 1, dppGauss)
  repul(fit)
# }

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