Lhat {dbmss} R Documentation

## Estimation of the L function

### Description

Estimates the L function

### Usage

Lhat(X, r = NULL, ReferenceType = "", NeighborType = "", CheckArguments = TRUE)


### Arguments

 X A weighted, marked, planar point pattern (wmppp.object). r A vector of distances. If NULL, a sensible default value is chosen (512 intervals, from 0 to half the diameter of the window) following spatstat. ReferenceType One of the point types. Default is all point types. NeighborType One of the point types. Default is all point types. CheckArguments Logical; if TRUE, the function arguments are verified. Should be set to FALSE to save time in simulations for example, when the arguments have been checked elsewhere.

### Details

L is the normalized version of K: L(r)=\sqrt{\frac{K}{\pi}}-r.

### Value

An object of class fv, see fv.object, which can be plotted directly using plot.fv.

### Note

L was originally defined as L(r)=\sqrt{\frac{K}{\pi}}. It has been used as L(r)=\sqrt{\frac{K}{\pi}}-r in a part of the literature because this normalization is easier to plot.

### References

Besag, J. E. (1977). Comments on Ripley's paper. Journal of the Royal Statistical Society B 39(2): 193-195.

Khat, LEnvelope

### Examples

data(paracou16)
autoplot(paracou16)

# Calculate L
r <- 0:30
(Paracou <- Lhat(paracou16, r))

# Plot
autoplot(Paracou)


[Package dbmss version 2.7-8 Index]