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
,
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, indicates the double sum over all i and all j where i ≠ j, and , the sum of the values in the weight matrix. Comparing this to the formula for Geary’s c, one quickly sees that
.
Geary’s c is simply a semivariogram standardized by the variance of the variable.
Menu: | Analysis 2→Scattered Data→Variograms |
Button: | |
Batch: | Variogram |
Variogram analysis window.
Explain options and give example