MATH 544 - SPATIAL STATISTICS


Course Information

  • Instructor: Jon Graham
  • Syllabus

    Homework Assignments

    Assignment Solutions R Code Due Date Papers
    Homework #1 HW#1 Solutions HW#1 Code Friday, February 13
    Homework #2 HW#2 Solutions HW#2 Code Friday, February 27
    Homework #3 HW#3 Solutions HW#3 Code Monday, March 16 Maravelias, et al. paper
    Homework #4 HW#4 Solutions HW#4 Code Monday, March 30
    Homework #5 HW#5 Solutions HW#5 Code Monday, April 27
    Homework #6 Posted on Monday, 5/11 Posted on Monday, 5/11 Monday, April 27 Legendre paper

    Data Sets

    Name Description
    longleaf.txt Longleaf pine data from Thomas County, GA (p. 16 of notes)
    phytoph.txt Phytophthora Disease/Moisture Data
    swiss.txt Switzerland Rainfall Data
    woodpecker.txt Woodpecker Count Data
    walk100.txt Walker Lake Illustrative Data (n=100)
    walk470.txt Walker Lake Sample Data (n=470)
    landsateng.txt England LANDSAT Data
    vgreen.txt Visual Greenness Data
    grav110.txt Gravity Data
    ironore.txt Iron Ore Data
    arsenic.txt Arsenic Concentration Data
    scallops.txt Scallops Data
    ireland.txt Ireland County Data
    air.txt Europe Air Emissions Data
    carex.txt Presence/Absence Carex Data

    R Functions

    Function Description
    allfunctions.r Collection of all functions below
    image.legend.r Puts a legend on an image (greyscale) plot
    ppnorm.r Creates a normal probability plot
    movewin.r Calculates moving windows statistics (for any type of data)
    hscatter.r Produces h-Scatterplots and computes C(h),p(h),gamma(h)
    corrplot.r Plots C(h),p(h),gamma(h)
    triangfuncs Triangulation functions for use with "polydec.r" function
    polydec Performs polygonal declustering on a set of spatial data
    celldec Performs cell declustering on a set of spatial data
    point.crossval Performs crossvalidation for the point estimation methods
    rose.r Produces a rose plot from variogram output
    rotateaxis.r Rotates coordinates a prescribed angle clockwise from 0 degrees north
    panel.gamma0.r Panel function for plotting directional variograms with ranges shown
    getCD Computes the C and D covariance matrices for kriging
    ordkrige Performs ordinary kriging given data and variogram parameters
    ok.crossval Performs crossvalidation of ordinary kriging predictions & other methods
    clarkevans Conducts the Clark-Evans Test of CSR

    Course Handouts

    Reading Title R Scripts
    N/A Introduction to R N/A
    Chapter 1 (Bailey & Gatrell) Introduction to Spatial Statistics intro.r
    Chapters 2-4 (Isaaks & Srivastava) Walker Lake Data - An Exploratory Description walker.r
    Chapter 5 (Bailey & Gatrell) Covariograms, Correlograms, Variograms variog.r
    Cross-Covariograms, Correlograms, Variograms crossvar.r
    Chapters 5,6 (Isaaks & Srivastava) Notes on Walker Lake Data Sets walker2.r
    Chapter 5.4.1,5.4.2 (Bailey & Gatrell) Global and Point Estimation estimate.r
    Chapter 11 (Isaaks \& Srivastava) Estimation Criteria
    Chapter 5.4.4 (Bailey & Gatrell), 7 (I \& S) Empirical Semivariograms empvariog.r
    Chapter 5.4.4 (Bailey & Gatrell) Alternatives to the Classical Variogram Estimator varalter.r
    Chapter 7.4 (Bailey \& Gatrell) Parametric/Median Polish Trend Removal medpol.r
    5.5.3 (Bailey & Gatrell) Theoretical Semivariogram Models varmodel.r
    5.5.3 Fitting Variogram Models variofit.r
    5.5.3 Correcting for & Fitting Variograms with Anisotropies anisofit.r
    5.5.5 Ordinary Kriging ordkrige.r
    5.5.5 Effect of the Variogram Function on Kriging
    N/A Crossvalidation
    Review Sheet - Midterm
    7.4,7.5 Moran's I and Geary's C Statistics moran.r
    7.4.1 Spatial Lattice Data and Neighborhoods
    7.5.4 More on Spatial Lattice Models lattmod.r
    An Autologistic Model Example autolog.r
    4.3 (Bailey & Gatrell) The Mantel Statistic
    3.1-3.5 (Bailey & Gatrell) Spatial Point Pattern Analysis pointpat.r
    3.4.3,3.5.3 (Bailey & Gatrell) Distance Methods distance.r
    3.4.4 (Bailey & Gatrell) Ripley's K Function ripley.r

    The 6th homework is due on Monday, May 11.

    Last modified: 11-May-2009
    Mail comments to: jgraham@mso.umt.edu