FORMERLY MATH 574 GEOSTATISTICS, as taught by Donald E. Myers

            Office:Math East 140 (the building just to the east of the Mathematics Building)

            621-6859

            http://www.u.arizona.edu/~donaldm

            myers@math.arizona.edu


 

Although I am no longer teaching the Geostatistics course I still have an office on campus but my hours are irregular. I do respond to email inquiries


Three sets of class notes are accessible on this website. A current set (which are revisions of the "Old Classnotes". In addition there are the "Old Classnotes" and then the "Oldold Classnotes"
SYLLABUS Spring 2007 Class Notes Spring 2007 Old Classnotes Assignments and Project description Spring 2007 SOFTWARE
Oldold Classnotes Sample Data sets Power Point presentations Some examples of data analysis
Journal article reviews, Fall 1999 Journal article reviews, Fall 2000 Journal article reviews, Fall 2001 Journal article_reviews, Fall 2004

Prequisites: basic probability/statistics course, matrix theory and computer
             experience(DOS, Windows on PC compatibles, UNIX on workstations) No programming was required
             for the course.

        Geostatistics is the name commonly associated with both the techniques
        utilized and the problems/objectives arising out of applications in the earth sciences
        where earth sciences is interpreted in a broad sense (including but not limited to
        geosciences, hydrology, soil sciences, mining engineering, environmental monitoring
        and assessment, atmospheric sciences). In general the topics are oriented to the
        analysis of spatially located data and in particular the estimation of values of the
        variable or variables of interest (for example ore grades, pollutant concentrations,
        hydrologic parameters) at an unsampled point or the average over an area or
        volume using data at a discrete number of (possibly) irregularly spaced points.

        The course emphasized applying the  methods and software for the analysis
of a specific data set as well as becoming familiar with the literature. 


The following is a general description of the course, for more detailed information pertaining to a specific semester see the syllabus listed above.
OUTLINE OF CONTENT OF THE COURSE
             Introduction
                           Review of probability/statistics
                           Overview of problems/objectives
                           Review of matrix theory
                           Random Functions

             Puntual Kriging
                           Estimator
                           Equations
                           Properties
                           Use of software

             Variograms
                           estimation/modeling
                           valid models
                           problems/difficulties
                           cross-validation

             Block kriging
                           averaged variograms
                           regularized variograms
                           sample support
                           dispersion variance

             Universal kriging
                           drift
                           variogram estimation problems
                           modification of equations

             Space-time modeling
			   product-sum models
			   fitting space time models

             Intrinsic Random Functions
                           Generalized increments
                           Generalized covariances
                           equations, software

             Non-linear transformations
                           log-normal kriging
                                         bias correction
                                         drift problems
                                         variogram modeling
                           indicators

             Comparison with other techniques

             Multivariate methods
			   cross-variograms and cross-covariances
			   linear coregionalization model
			   cokriging estimator
			   cokriging equations

	     Simulation
			   L-U
			   sequential gaussian
			   simulated annealing
                          
              Bayesian Methods

TEXTBOOK
There was no prescribed text, classnotes were be provided. However, students might find one or more the following useful (none will cover all the material nor will any one of these be completely covered)

Mining Geostatistics, A.G. Journel and Ch. J. Huijbregts, Academic Press, 1978

Geostatistics: Modeling Spatial Uncertainty, Jean-Paul Chiles and Pierre Delfiner, J. Wiley, 1999

The Theory of Regionalized Variables and its applications, G. Matheron, Ecole des Mines, Paris, 1971

An Introduction to Applied Geostatistics, Edward H. Isaaks and R. Mohan Srivastava, Oxford University Press 1989

Geostatistics for Natural Resources Evaluation, Pierre Goovaerts, Oxford University Press, 1997

GSLIB: Geostatistical Software Library and User's Guide, Clayton V. Deutsch, Andre G. Journel, Oxford University Press, 1992

Multivariate Geostatistics,  Hans Wackernagel, Springer 1995   

Geostatistics and Petroleum Geology, M.E. Hohn 

Statistics for Spatial Data, Noel Cressie, J. Wiley, 1993

Statistical Methods for Spatial Data Analysis, Oliver Schabenberger and Carol A. Gotway, Chapman & Hall/CRC 2005

Interpolation of Spatial Data: Some theory for kriging, Michael Stein, Springer 1999

An Introduction to Model-based Geostatistics, P.J. Diggle, P.J. Ribiero, Jr and O.F. Christensen (in Spatial Statistics and Computational Methods, J. Mxller (ed), Springer 2003

CONFERENCE PROCEEDINGS
There have been a series of geostatistics conferences and most have resulted in proceedings. These are an additional important set of reference materials

Advanced Geostatistics in the Mining Industry, (1976) D. Reidel Publishing

Geostatistics for Natural Resource Characterization, G. Verly et al (eds) (1984) D. Reidel Publishing

Quantitative Analysis of Mineral and Energy Resources, C.F. Chung et al (eds) (1988), D. Reidel Publishing

Geostatistics (Vols 1 & 2), M. Armstrong (ed) (1989) Kluwer academic press

Geostatistics Troia '92, A. Soares (ed), (1993) Kluwer academic press

Geostatistics Wollongong '96, E. Baafi and N. Schofield (eds), (1997) Kluwer acdemic press

Geostatistics for the Next Century, R. Dimitrakopoulos (ed), (1994) Kluwer academic press

geoENV I-Geostatistics for Environmental Applications, A. Soares et al (ed) (1997) Kluwer academic press

Geostatistical Simulations, M. Armstrong and P. Dowd (eds) (1994) Kluwer academic press

geoENV II-Geostatistics for Environmental Applications, J. Gomez-Hernandez et al (eds) (1999) Kluwer academic press

geoENV III-Geostatistics for Environmental Applications, P. Monestiez et al (eds)(2001) Kluwer academic press

geoENV IV-Geostatistics for Environmental Applications, X. Sanchez-Villa et al (eds) (2005) Kluwer academic press

Geostatistics RIO 2000, M. Armstrong et al (eds), (2001) Kluwer academic press

Geostatistics Banff 2004, O. Leuangthong and C.  Deutsch (2005) Kluwer academic press


 SOFTWARE
Geostatistics is computationally intensive hence software is essential. The emphasis will be on software that is free or is readily available to students at the university.

The primary software used for class demonstrations was R

Accessing the R software Binaries are downloadable for Windows, Linux and Unix

R FAQ

Shortlist of most useful R commands

Overview of R and available packages

List of Geostatistics packages in R Within R (for packages that have been installed), you can bring up a summary by the command "help(package='name of package')"

Documentation for gstat

Tutorial for gstat using Meuse data set

Documentation for Fields

Documentation for GeoR

Introduction to geoR with examples

Documentation for geoRglm

Documentation for Random Fields

Documentation for Sgeostat

Documentation for VR

VR actually includes several packages, in particular "Spatial"

Documentation for Vardiag

Two other useful packages

Documentation for ForeignThis package allows you read in files produced by other programs

Documentation for ShapefilesThis package allows you to read into or write Shapefiles (i.e. for ArcGis

Documentation fo\ r UsingR

The R Language

An Into to R

R Language Definition R has links to use with GRASS, MySQL, OCTAVE/MATLAB

R-MySQL

R and Matlab

R help

Matlab and R

Octave

Comparison R vs Matlab

Matlab "package" in R Using GRASS with R

GRASS and Geostatistics

GRASS interface in R GGOBI

Getting ggobi Binaries are downloadable for Windows, Linux and OSX

Examples and Tutorial Some tutorials for R

Intro to R

R tutor

Simple R

Beginning R

Getting started

R Guide

The R language More documentation on R

More R documentation Although there are many sites on the internet that can useful, there is one general site that will be of particular interest

AI-GEOSTATS The software to be used in class demonstrations included (1) GEOEAS, see the software listings under www.ai-geostats.org GEOEAS was released into the public domain by the US-EPA. It consists of multiple separate DOS programs (but can be run in DOS windows under MS-Windows). Each component has a friendly window interface. (2) VARIOWIN, see the software listings under www.ai-geostats.org This package was originally commercial and packaged with a book of the same name, after the printing ran out the author released the code into the public domain. The book (user's manual) is also available as a pdf file. It is a "windows" program and essentially replaces two components of GEOEAS, namely PREVAR and VARIO. Both of which have severe data file size limitations due to the DOS format. Caution: The pair comparison files generated by PREVAR (GEOEAS) and PREVAR (VARIOWIN) are not compatible Also see SAS (commercial)

SAS at CCIT

PROC Variogram, PROC Krige 2D

SAS and GIS PROC Sim2D

PROC Sim2D GEOSTATISTICAL ANALYST (Commercial, works with ARCGIS)

Geostatistical analyst

hFact Sheet on Geostatistical Analyst

MTBE contamination example

GIS S-PLUS (Commercial)

S-Plus

S-Plus help

There is an add-on for S-Plus called S+SpatialStats Both R and S-Plus are based on the S language (from Bell Labs) A Note about geostatistics software conventions

A Note about geostatistics software conventions