integral.msr: Integral of a Measure

In spatstat.core: Core Functionality of the 'spatstat' Family

Integral of a Measure

Description

Computes the integral (total value) of a measure over its domain.

Usage

## S3 method for class 'msr'
integral(f, domain=NULL, ...)

Arguments

f	A signed measure or vector-valued measure (object of class "msr").
domain	Optional window specifying the domain of integration. Alternatively a tessellation.
...	Ignored.

Details

The integral (total value of the measure over its domain) is calculated.

If domain is a window (class "owin") then the integration will be restricted to this window. If domain is a tessellation (class "tess") then the integral of f in each tile of domain will be computed.

For a multitype measure m, use split.msr to separate the contributions for each type of point, as shown in the Examples.

Value

A numeric value, vector, or matrix.

integral(f) returns a numeric value (for a signed measure) or a vector of values (for a vector-valued measure).

If domain is a tessellation then integral(f, domain) returns a numeric vector with one entry for each tile (if f is a signed measure) or a numeric matrix with one row for each tile (if f is a vector-valued measure).

Author(s)

\spatstatAuthors

.

See Also

msr, integral

Examples

   fit <- ppm(cells ~ x)
   rr <- residuals(fit)
   integral(rr)

   # vector-valued measure
   rs <- residuals(fit, type="score")
   integral(rs)

   # multitype
   fitA <- ppm(amacrine ~ x)
   rrA <- residuals(fitA)
   sapply(split(rrA), integral)

   # multitype and vector-valued
   rsA <- residuals(fitA, type="score")
   sapply(split(rsA), integral)

   ## integral over a subregion
   integral(rr, domain=square(0.5))
   ## integrals over the tiles of a tessellation
   integral(rr, domain=quadrats(cells, 2))

spatstat.core documentation built on May 18, 2022, 9:05 a.m.