Handbook of Mathematical Geosciences

Description

This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences. Front Matter ....Pages i-xxviii Front Matter ....Pages 1-1 Kriging, Splines, Conditional Simulation, Bayesian Inversion and Ensemble Kalman Filtering (Olivier Dubrule)....Pages 3-24 A Statistical Commentary on Mineral Prospectivity Analysis (Adrian Baddeley)....Pages 25-65 Testing Joint Conditional Independence of Categorical Random Variables with a Standard Log-Likelihood Ratio Test (Helmut Schaeben)....Pages 67-80 Modelling Compositional Data. The Sample Space Approach (Juan José Egozcue, Vera Pawlowsky-Glahn)....Pages 81-103 Properties of Sums of Geological Random Variables (G. M. Kaufman)....Pages 105-115 A Statistical Analysis of the Jacobian in Retrievals of Satellite Data (Noel Cressie)....Pages 117-130 All Realizations All the Time (Clayton V. Deutsch)....Pages 131-142 Binary Coefficients Redux (Michael E. Hohn)....Pages 143-160 Tracking Plurigaussian Simulations (M. Armstrong, A. Mondaini, S. Camargo)....Pages 161-177 Mathematical Geosciences: Local Singularity Analysis of Nonlinear Earth Processes and Extreme Geo-Events (Qiuming Cheng)....Pages 179-208 Front Matter ....Pages 209-209 Electrofacies in Reservoir Characterization (John C. Davis)....Pages 211-223 Shoreline Extrapolations (Jean Serra)....Pages 225-237 An Introduction to the Spatio-Temporal Analysis of Satellite Remote Sensing Data for Geostatisticians (A. F. Militino, M. D. Ugarte, U. Pérez-Goya)....Pages 239-253 Flint Drinking Water Crisis: A First Attempt to Model Geostatistically the Space-Time Distribution of Water Lead Levels (Pierre Goovaerts)....Pages 255-275 Statistical Parametric Mapping for Geoscience Applications (Sean A. McKenna)....Pages 277-297 Water Chemistry: Are New Challenges Possible from CoDA (Compositional Data Analysis) Point of View? (Antonella Buccianti)....Pages 299-311 Analysis of the United States Portion of the North American Soil Geochemical Landscapes Project—A Compositional Framework Approach (E. C. Grunsky, L. J. Drew, D. B. Smith)....Pages 313-346 Front Matter ....Pages 347-347 Quantifying the Impacts of Uncertainty (Peter Dowd)....Pages 349-373 Advances in Sensitivity Analysis of Uncertainty to Changes in Sampling Density When Modeling Spatially Correlated Attributes (Ricardo A. Olea)....Pages 375-393 Predicting Molybdenum Deposit Growth (John H. Schuenemeyer, Lawrence J. Drew, James D. Bliss)....Pages 395-409 General Framework of Quantitative Target Selections (Guocheng Pan)....Pages 411-435 Solving the Wrong Resource Assessment Problems Precisely (Donald A. Singer)....Pages 437-446 Two Ideas for Analysis of Multivariate Geochemical Survey Data: Proximity Regression and Principal Component Residuals (G. F. Bonham-Carter, E. C. Grunsky)....Pages 447-465 Mathematical Minerals: A History of Petrophysical Petrography (John H. Doveton)....Pages 467-481 Geostatistics for Seismic Characterization of Oil Reservoirs (Amílcar Soares, Leonardo Azevedo)....Pages 483-504 Statistical Modeling of Regional and Worldwide Size-Frequency Distributions of Metal Deposits (Frits Agterberg)....Pages 505-523 Front Matter ....Pages 525-525 Bayesianism in the Geosciences (Jef Caers)....Pages 527-566 Geological Objects and Physical Parameter Fields in the Subsurface: A Review (Guillaume Caumon)....Pages 567-588 Fifty Years of Kriging (Jean-Paul Chilès, Nicolas Desassis)....Pages 589-612 Multiple Point Statistics: A Review (Pejman Tahmasebi)....Pages 613-643 When Should We Use Multiple-Point Geostatistics? (Gregoire Mariethoz)....Pages 645-653 The Origins of the Multiple-Point Statistics (MPS) Algorithm (R. Mohan Srivastava)....Pages 655-672 Predictive Geometallurgy: An Interdisciplinary Key Challenge for Mathematical Geosciences (K. G. van den Boogaart, R. Tolosana-Delgado)....Pages 673-686 Data Science for Geoscience: Leveraging Mathematical Geosciences with Semantics and Open Data (Xiaogang Ma)....Pages 687-702 Mathematical Morphology in Geosciences and GISci: An Illustrative Review (B. S. Daya Sagar)....Pages 703-740 Front Matter ....Pages 741-741 IAMG: Recollections from the Early Years (John Cubitt, Stephen Henley)....Pages 743-763 Forward and Inverse Models Over 70 Years (E. H. Timothy Whitten)....Pages 765-776 From Individual Personal Contacts 1962–1968 to My 50 Years of Service (Václav Němec)....Pages 777-791 Andrey Borisovich VISTELIUS (Stephen Henley)....Pages 793-812 Fifty Years’ Experience with Hidden Errors in Applying Classical Mathematical Geology (Hannes Thiergärtner)....Pages 813-830 Mathematical Geology by Example: Teaching and Learning Perspectives (James R. Carr)....Pages 831-847 Linear Unmixing in the Geologic Sciences: More Than A Half-Century of Progress (William E. Full)....Pages 849-873 Pearce Element Ratio Diagrams and Cumulate Rocks (J. Nicholls)....Pages 875-896 Reflections on the Name of IAMG and of the Journal (Donald E. Myers)....Pages 897-899 Origin and Early Development of the IAMG (Frits Agterberg)....Pages 901-914