# repul.dppm

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

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.

##### 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.

##### See Also

##### 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)*