Developments in Geomathematics, 2: Geostatistical Ore Reserve Estimation focuses on the methodologies, processes, and principles involved in geostatistical ore reserve estimation, including the use of variogram, sampling, theoretical models, and variances and covariances. The publication first takes a look at elementary statistical theory and applications; contribution of distributions to mineral reserves problems; and evaluation of methods used in ore reserve calculations. Concerns cover estimation problems during a mine life, origin and credentials of geostatistics, precision of a sampling campaign and prediction of the effect of further sampling, exercises on grade-tonnage curves, theoretical models of distributions, and computational remarks on variances and covariances. The text then examines variogram and the practice of variogram modeling. Discussions focus on solving problems in one dimension, linear combinations and average values, theoretical models of isotropic variograms, the variogram as a geological features descriptor, and the variogram as the fundamental function in error computations. The manuscript ponders on statistical problems in sample preparation, orebody modeling, grade-tonnage curves, ore-waste selection, and planning problems, the practice of kriging, and the effective computation of block variances. The text is a valuable source of data for researchers interested in geostatistical ore reserve estimation.

Distribution related problems. Variogram related problems. Block variances. Estimation variance. Kriging. Recoverable reserves. Applied simulation. Classification of ore reserves. Check samples and duplicates.

Mineral resource estimation has changed considerably in the past 25 years: geostatistical techniques have become commonplace and continue to evolve; computational horsepower has revolutionized all facets of numerical modeling; mining and processing operations are often larger; and uncertainty quantification is becoming standard practice. Recent books focus on historical methods or details of geostatistical theory. So there is a growing need to collect and synthesize the practice of modern mineral resource estimation into a book for undergraduate students, beginning graduate students, and young geologists and engineers. It is especially fruitful that this book is written by authors with years of relevant experience performing mineral resource estimation and with years of relevant teaching experience. This comprehensive textbook and reference fills this need.

Although aspects of mineral deposit evaluation advantages and disadvantages of each technique are covered in such texts as McKinstry (1948), so that a judgement can be made as to their Peters (1978), Reedman (1979) and Barnes applicability to a particular deposit and the min (1980), no widely available in-depth treatment of ing method proposed or used. Too often, a lack the subject has been presented. It is thus the of this expertise results in the ore-reserve calcula intention of the present book to produce a text tion being undertaken at head-office or, indeed, by the survey department on the mine, and being which is suitable for both undergraduate and treated as a 'number crunching' or geometric postgraduate students of mining geology and exercise divorced from geology. It is essential mining engineering and which, at the same time, that mine ore-reserves are calculated at the mine is of use to those already following a professional by those geologists who are most closely associ career in the mining industry. An attempt has ated with the local geology and who are thus best been made to present the material in such a way able to influence and/or constrain the calculation.