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(d) Pure Nugget Effect

This is the limit case when $/gamma({/boma h})$ appears solely as a discontinuity at the origin:


/begin{displaymath}/gamma({/boma 0})=0 / / /mbox{and} / / /gamma({/boma h})=C_0 / /
/mbox{when} / / /vert{/boma h}/vert>/epsilon./end{displaymath}

In practice, such a variogram can be represented as a transition phenomenon with a sill value $C_0$ and a range $a = /epsilon$, where $/epsilon$ is very small in relation to the distances of experimental observation. For all experimental distances, small as they may be, the two random variables $Z({/boma x})$ and $Z({/boma x}+{/boma h})$ are uncorrelated. The pure nugget effect thus corresponds to the total absence of auto-correlation. It should be pointed out that such a case is very rare in mining.



Rudolf Dutter 2003-03-13