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Spatial statistics are useful in subjects as diverse as climatology, ecology, economics, environmental and earth sciences, epidemiology, image analysis and more. This book covers the best-known spatial models for three types of spatial data: geostatistical data (stationarity, intrinsic models, variograms, spatial regression and space-time models), areal data (Gibbs-Markov fields and spatial auto-regression) and point pattern data (Poisson, Cox, Gibbs and Markov point processes). The level is relatively advanced, and the presentation concise but complete. The most important statistical methods and their asymptotic properties are described, including estimation in geostatistics, autocorrelation and second-order statistics, maximum likelihood methods, approximate inference using the pseudo-likelihood or Monte-Carlo simulations, statistics for point processes and Bayesian hierarchical models. A chapter is devoted to Markov Chain Monte Carlo simulation (Gibbs sampler, Metropolis-Hastings algorithms and exact simulation). A large number of real examples are studied with R, and each chapter ends with a set of theoretical and applied exercises. While a foundation in probability and mathematical statistics is assumed, three appendices introduce some necessary background. The book is accessible to senior undergraduate students with a solid math background and Ph.D. students in statistics. Furthermore, experienced statisticians and researchers in the above-mentioned fields will find the book valuable as a mathematically sound reference. This book is the English translation of Modélisation et Statistique Spatiales published by Springer in the series Mathématiques & Applications, a series established by Société de Mathématiques Appliquées et Industrielles (SMAI). Carlo Gaetan is Associate Professor of Statistics in the Department of Statistics at the Ca' Foscari University of Venice. Xavier Guyon is Professor Emeritus at the University of Paris 1 Panthéon-Sorbonne. He is author of a Springer monograph on random fields.

Statistics. --- Statistical Theory and Methods. --- Probability Theory and Stochastic Processes. --- Mathematical Applications in Earth Sciences. --- Econometrics. --- Math. Appl. in Environmental Science. --- Mathematical geography. --- Distribution (Probability theory). --- Mathematical statistics. --- Environmental sciences. --- Statistique --- Géographique mathématique --- Distribution (Théorie des probabilités) --- Statistique mathématique --- Sciences de l'environnement --- Econométrie --- Spatial analysis (Statistics) --- Statistik --- Raum --- Räumliche Statistik. --- Statistisches Modell. --- Mathematical models. --- Raum (Math.) --- (Math.) --- Statistik. --- Räumliche Statistik.

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In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use, and contamination. To face the challenge, good planning and management practices are needed. A key to the management of groundwater is the ability to model the movement of fluids and contaminants in the subsurface. The purpose of this book is to construct conceptual and mathematical models that can provide the information required for making decisions associated with the management of groundwater resources, and the remediation of contaminated aquifers. The basic approach of this book is to accurately describe the underlying physics of groundwater flow and solute transport in heterogeneous porous media, starting at the microscopic level, and to rigorously derive their mathematical representation at the macroscopic levels. The well-posed, macroscopic mathematical models are formulated for saturated, single phase flow, as well as for unsaturated and multiphase flow, and for the transport of single and multiple chemical species. Numerical models are presented and computer codes are reviewed, as tools for solving the models. The problem of seawater intrusion into coastal aquifers is examined and modeled. The issues of uncertainty in model input data and output are addressed. The book concludes with a chapter on the management of groundwater resources. Although one of the main objectives of this book is to construct mathematical models, the amount of mathematics required is kept minimal. - Most comprehensive book on mathematical modeling of groundwater flow and contaminant transport - Deep insight into the physics at the microscopic level and its description as averaged processes - Addresses uncertainty and management issues - Written by one of the most highly cited authors of groundwater books (Dynamics of Fluids in Porous Media, and Hydraulics of Groundwater) Audience: Graduate and upper level undergraduate students who are interested in such topics as groundwater, water resources and environmental engineering; of interest to researchers, to scientists, and to professionals who face the need to build and solve models of flow and contaminant transport in the subsurface.

Earth Sciences. --- Hydrogeology. --- Computational Intelligence. --- Mathematical Modeling and Industrial Mathematics. --- Civil Engineering. --- Mathematical Applications in Earth Sciences. --- Geochemistry. --- Geography. --- Hydraulic engineering. --- Mathematical geography. --- Engineering. --- Civil engineering. --- Géographie --- Géochimie --- Technologie hydraulique --- Géographique mathématique --- Ingénierie --- Génie civil --- Groundwater flow --- Groundwater --- Sediment transport --- Saltwater encroachment --- Mathematical models. --- Pollution. --- Data processing. --- Pollution --- Geology. --- Pollution, general. --- Hydrology/Water Resources. --- Construction --- Industrial arts --- Technology --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Chemical pollution --- Chemicals --- Contamination of environment --- Environmental pollution --- Contamination (Technology) --- Asbestos abatement --- Bioremediation --- Environmental engineering --- Environmental quality --- Factory and trade waste --- Hazardous waste site remediation --- Hazardous wastes --- In situ remediation --- Lead abatement --- Pollutants --- Refuse and refuse disposal --- Geognosy --- Geoscience --- Earth sciences --- Natural history --- Environmental aspects --- Monograph --- E-books --- Hydrology. --- Computational intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Aquatic sciences --- Hydrography --- Water --- Geohydrology --- Geology --- Hydrology --- Models, Mathematical --- Simulation methods