# areaLoss

From spatstat v1.16-2
by Adrian Baddeley

##### Difference of Disc Areas

Computes the area of that part of a disc that is not covered by other discs.

##### Usage

`areaLoss(X, r, ngrid=spatstat.options("ngrid.disc"), subset=NULL)`

##### Arguments

- X
- Locations of the centres of discs.
A point pattern (object of class
`"ppp"`

). - r
- Disc radius, or vector of disc radii.
- ngrid
- Dimensions of the
`ngrid * ngrid`

array of test points that will be used to estimate the uncovered area. - subset
- Optional. Index identifying a subset of the points of
`X`

for which the area difference should be computed.

##### Details

This function computes, for each point `X[i]`

in `X`

and for each radius `r`

,
the area of that part of the disc of radius `r`

centred at the
location `X[i]`

that is *not* covered by any of the
other discs of radius `r`

centred at the points `X[j]`

for `j`

not equal to `i`

.
This area is important in some calculations related to
the area-interaction model `AreaInter`

.

The result is a matrix, with one row for each point in `X`

and one column for each entry of `r`

.

The area is calculated by discrete approximation, using an
`ngrid * ngrid`

grid of test points.

##### Value

- A matrix with one row for each point in
`X`

(or`X[subset]`

) and one column for each value in`r`

.

##### See Also

##### Examples

```
data(cells)
areaLoss(cells, 0.1, 32)
```

*Documentation reproduced from package spatstat, version 1.16-2, License: GPL (>= 2)*

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