Variograms

Variograms (also known as semivariograms) is the primary form of spatial analysis used in geostatistics (Isaaks and Srivastava 1989). It is very similar to a correlogram analysis using Geary’s c and is essentially identical to Paired Quadrat Variance analysis (Dale and Mah 1998; ver Hoef et al. 1993).

 

The semivariogram is calculated as

 

image354.gif,

 

where yi is the value of the variable at the ith location, n is the number of points, wij is a weight indicating something about the spatial relationship of points i and j, image145.gifindicates the double sum over all i and all j where ij, and image144.gif, the sum of the values in the weight matrix. Comparing this to the formula for Geary’s c, one quickly sees that

 

image355.gif.

 

Geary’s c is simply a semivariogram standardized by the variance of the variable.

 

 

 

 

VariogramWin.png

Variogram analysis window.

 

 

Explain options and give example