areaLoss

0th

Percentile

Difference of Disc Areas

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

Keywords
spatial, math
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

AreaInter, areaGain

Aliases
  • areaLoss
Examples
data(cells)
   areaLoss(cells, 0.1, 32)
Documentation reproduced from package spatstat, version 1.16-3, License: GPL (>= 2)

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