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Continuity

In the definition of the variogram $2/gamma(/boma{h})$, $/boma{h}$ represents a vector of modulus $/vert /boma{h}/vert$ and direction $/alpha$. Consider a particular direction $/alpha$. Beginning at the origin, $/gamma(/boma{h})=/boma{0}$, the variogram increases in general with the modulus $/vert /boma{h}/vert$. This is simply an expression of the fact that, on average, the difference between two grades taken at two different points increases as the distance $/vert /boma{h}/vert$ between them increases. The manner in which this variogram increases for small values of $/vert /boma{h}/vert$ characterizes the degree of spatial continuity of the variable studied.



Rudolf Dutter 2003-03-13