# repul.dppm

0th

Percentile

##### Repulsiveness Index of a Determinantal Point Process Model

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

Keywords
models, spatial
##### Usage
repul(model, …)

# S3 method for dppm repul(model, …)

##### Arguments
model

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

Ignored.

##### Details

The repulsiveness index $$\mu$$ of a determinantal point process model was defined by Lavancier, Moller and Rubak (2015) as $$\mu = \lambda \int (1- g(x)) \, dx$$ where $$\lambda$$ 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 $$\mu$$ are dimensionless. Larger values of $$\mu$$ 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).

##### Value

A numeric value or a pixel image.

##### 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.

dppm

• repul
• repul.dppm
##### Examples
# NOT RUN {
jpines <- residualspaper\$Fig1

# }
# NOT RUN {
fit <- dppm(jpines ~ 1, dppGauss)
repul(fit)
# }
Documentation reproduced from package spatstat, version 1.63-0, License: GPL (>= 2)

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