Cindex: Connectivity Index

In SpatialVx: Spatial Forecast Verification

Connectivity Index

Description

Calculate the connectivity index of an image.

Usage

Cindex(x, thresh = NULL, connect.method = "C", ...)

## Default S3 method:
Cindex(x, thresh = NULL, connect.method = "C", ...)

## S3 method for class 'SpatialVx'
Cindex(x, thresh = NULL, connect.method = "C", ...,
    time.point = 1, obs = 1, model = 1)

Arguments

x	Default: m by n numeric matrix giving the field for which the connectivity index is to be calculated. Sindex.SpatialVx: list object of class “SpatialVx”.
thresh	Set values under (strictly less than) this threshold to zero, and calculate the connectivity index for the resulting image. If NULL, no threshold is applied.
connect.method	character string giving the method argument for the connected function of package spatstat. This must be one of “C” or “interpreted”. See the help file for connected for more details.
time.point	numeric or character indicating which time point from the “SpatialVx” verification set to select for analysis.
obs, model	numeric indicating which observation/forecast model to select for the analysis.
...	Not used.

Details

The connectivity index is introduced in AghaKouchak et al. (2011), and is designed to automatically determine how connected an image is. It is defined by

Cindex = 1 - (NC - 1)/(sqrt(NP) + NC),

where 0 <= Cindex <= 1 is the connectivity index (values close to zero are less connected, and values close to 1 are more connected), NP is the number of nonzero pixels, and NC is the number of isolated clusters.

The function connected from package spatstat is used to identify the number of isolated clusters.

Value

numeric giving the connectivity index.

Author(s)

Eric Gilleland

References

AghaKouchak, A., Nasrollahi, N., Li, J., Imam, B. and Sorooshian, S. (2011) Geometrical characterization of precipitation patterns. J. Hydrometerology, 12, 274–285, doi:10.1175/2010JHM1298.1.

See Also

connected, as.im, Sindex, Aindex

Examples

# Re-create Fig. 7a from AghaKouchak et al. (2011).
tmp <- matrix(0, 8, 8)
tmp[3,2:4] <- 1
tmp[5,4:6] <- 1
tmp[7,6:7] <- 1
Cindex(tmp)

SpatialVx documentation built on May 29, 2024, 9:31 a.m.