seem that the agreement is very poor since all raw variograms lie above
One should remember, however, that the presence of a
the fitted model.
It is only at
drift results in an upward bias in the raw variograms.
short distances, perhaps, that the raw variograms may coincide with the
the raw varioThis coincidence indeed happens here:
underlying ones.
gram in the east-west direction becomes tangent to the fitted model at
Therefore, the agreement is actually very
distances less than 200 feet.
good, especially since the model resulted from an automatic identification procedure based on quite a different approach than that used to
calculate the raw variograms.
There is no theorem that says there must
be some direction for which the drift effect is not felt, at least at
short distances, but it often occurs in practice.
It is of interest to comment on the nugget effect of "0.0127 found here.
Typically, it can originate from
1.

measurement errors

2.

microstructures at a scale much smaller than that at which the
observations are made (as occurs with golden nuggets in gold mines,
where the ore grade varies discontinuously from inside to outside

nuggets).

But the interpretation of the nugget effect is more complex for the
FIDLER data.
Basically, the value C_ = 0.0127 results from extrapola-

tions to the origin of a variogram computed at a 100-foot scale.

This

is clearly shown in Figure 6.
Yet, if the phenomenon is analyzed at a
much finer scale, it emerges that the discontinuity of the variogram at

the origin is only apparent.

The "true" variogram probably resembles

the dashed curve in Figure 6, decreasing steeply to zero, with a small
nugget effect left to account for measurement errors.
Such conjecture
is based on the variogram computed from Line 1 FIDLER data (Table 2).
This table clearly indicates that the F_ (x) field is continuous, as can
be expected since two close FIDLER readings integrate radiation from a
large common area.
A nugget effect still shows, but of the order of
1073 (rather than 1072 as found above), corresponding to a counting

error ofcount ~ 7 percent.
Table 2.

Line

1

Variogram of Line 1 and Line 2 FIDLER Data (1 Foot Aboveground)

Lag Number
1
2
3
48

Number

Distance

Variogram

45
30
15
224

5
10
15
240

1.116
1.455
2.818
20.07

of Pairs

381

(Inches)

(x 1073)

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