intrinsic random functions, and comparisons of

kriging to other spatial prediction techniques. The

text is written from a statistician's point of view

and is, in places, written at a fairly high level

mathematically. It nevertheless contains numerous

Since the mid-1970's, a myriad of texts and arti-

examples and illustrations using real-world data.

cles have been published that are either totally

Journel and Huijbregts (1978) maintain a mining-

dedicated to geostatistical methods or discuss

geological perspective. Two other texts written by

geostatistics in detail. Numerous computer pro-

statisticians that present general treatments of spa-

grams and software packages on geostatistics and

tial processes, but that lack detailed discussions of

kriging accompany many of these texts. Although

kriging, are Cliff and Ord (1981) and Ripley

only a few of these resources will be briefly

(1981).

described in this ETL, their lists of references can

provide the interested reader a path to other geo-

statistical topics or software not specifically

discussion of geostatistics and kriging in mining

covered in the resources.

applications, and the discussion is presented from a

practitioner's viewpoint. Its value as reference

material derives from the many specific mining

applications and results. A broad statistics text

with a bent toward geological applications (Davis

(1986), serves as a reference for standard statisti-

section can be classified into two broad categories:

cal procedures needed in geological applications of

instructional texts or reference texts. For one who

geostatistics. A book by Bras and Rodriguez-

is delving into geostatistics for the first time,

Itrube (1985) that discusses a range of techniques

Clark's (1979) book is a starting point. Simple

for stochastic modeling in the field of hydrology

explanations of the basic kriging techniques are

includes a chapter on applications of kriging.

applied to an example data set. A more advanced

There is a fairly complete mathematical develop-

treatment of the kriging techniques is described by

ment of kriging with details of an application to

Isaaks and Srivastava (1989). This textbook pre-

predict mean areal precipitation. In a paper pre-

sents a detailed discussion of many of the back-

pared for the U.S. Environmental Protection

ground statistical tools and concepts needed in

Agency, Journel (1993) discusses geostatistics as it

geostatistical applications, including histograms

relates to environmental science. Finally, Olea

and distributions (univariate and bivariate),

(1991) presents a useful glossary of geostatistical

sampling, correlation, and spatial continuity. The

terms.

text also discusses how to treat the subtleties of

kriging using three data sets as examples. As well

as being instructional, the book also can be used as

a reference.

The journal *Mathematical Geology *by the Inter-

national Association for Mathematical Geologists

Huijbregts (1978) describe the tools of geostatis-

reports new developments in the theory and appli-

tics, but also include a comprehensive theoretical

cation of kriging. Although many of the articles

background on the techniques. Cressie's (1991)

present new applications of kriging tools, many

text is a treatment of spatial processes in general

also are dedicated to the derivation of statistical

and reviews a wide range of statistical techniques

properties of the variogram, kriging estimation,

in the analysis and stochastic modeling of spatial

and cross-validation results. Journals such as

data. There is a four-chapter section on geosta-

tistics, with a complete discussion of variogram

American Geophysical Union, and *Groundwater*,

estimation, kriging (including universal kriging),

3-1

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