DistWMat {SDPDmod}

Distance weights matrix (Inverse distance, Exponential distance or Double-Distance matrix)

Description

This function calculates the spatial distance weights matrix (inverse, exponential or double-distance), with a given cutoff distance and a positive exponent (alpha).

Usage

DistWMat(
  distMat,
  distCutOff = NULL,
  type = "inverse",
  alpha = NULL,
  mevn = FALSE
)

Arguments

distMat

distance matrix

distCutOff

cutoff distance. Default = the maximal value from the distance matrix.

type

the type of distance matrix c("inverse","expo","doubled"). Default = "inverse".

alpha

power (positive exponent), default 1 if type="inverse", 0.01 if type="expo" and 2 if type="double"

mevn

logical, default FALSE. If TRUE, max-eigenvalue normalization is performed.

Value

W

spatial weights matrix (Default, not normalized)

Author(s)

Rozeta Simonovska

See Also

InvDistMat ExpDistMat DDistMat vignette("spatial_matrices", package = "SDPDmod")

Examples

## distance between centroids of NUTS3 regions in Germany (in meters)
data(gN3dist, package = "SDPDmod")
##inverse distance matrix with cutoff 100000 meters
W1    <- DistWMat(distMat = gN3dist, distCutOff = 100000)
dist2 <- gN3dist/1000 ##distance in km
## normalized exponential distance matrix
W2    <- DistWMat(distMat=dist2, distCutOff = 100, type = "expo",
                  alpha = 2, mevn = TRUE)