ArcGIS Geostatistical Analyst


 

Key Features

Exploratory spatial data analysis tools

  • Histogram and summary statistics
  • Normal quantile–quantile plot
  • Trend analysis
  • Semivariogram/Covariance cloud and map
  • Voronoi map
  • General quantile–quantile plot
  • Cross-Covariance cloud and map

Random training and testing data subsets creation

Interpolation methods. All models can be isotropical or anisotropical. There is no restriction on maximum number of input data.

  • Inverse distance weighted
  • Radial-based functions, which include the following kernels
    • Thin plate spline
    • Spline with tension
    • Multiquadratic
    • Inverse multiquadratic
    • Completely regularized spline kernels
  • Global and local polynomials
  • Kriging for exact data and for error-contaminated data
    • Ordinary, for data with unknown constant mean value
    • Simple, for data with known mean value
    • Universal, for data with mean value as a function on coordinates
    • Indicator, for discrete or data transformed to discrete
    • Probability, for discrete data as primary variable and continuous data as secondary variables
    • Disjunctive, for nonlinear predictions
  • Cokriging (multivariate version of the above-mentioned kriging models)

Renderers

  • Contours (isolines)
  • Filled contours
  • Regular grid (All models allow data averaging in each cell; block interpolation.)
  • Hillshading

Export result of predictions to

  • Contour lines
  • Polygons
  • Grid
  • Specified point locations
  • Geostatistical layer that stores the model parameters from the interpolation and renderers

Searching neighborhood for selecting local neighboring data for prediction to target point

  • Ellipse with four or eight angular sectors, or without sectors, with specified minimum and maximum number of points in each sector of the elliptical moving window

Kriging output surface types

  • Prediction
  • Prediction standard error (measure of the prediction quality)
  • Probability map (probability that specified threshold value is exceeded)
  • Error of indicators (measure of the probability map uncertainty)
  • Quantile map (over- and underpredicted values)

Modeling tools for kriging

  • Data transformations
    • Box–Cox
    • Logarithmic
    • Arcsine
    • Normal score
  • Data detrending
    • Global polynomial
    • Local polynomial
  • Variography
    • Models (four can be used simultaneously)
      • Nugget
      • Circular
      • Spherical
      • Tetraspherical
      • Pentaspherical
      • Exponential
      • Gaussian
      • Rational quadratic
      • Hole effect
      • K-Bessel
      • J-Bessel
      • Stable
    • Semivariogram/Covariance surface
    • Anisotropy
    • Specifying or estimating the proportion of measurement error in the nugget
    • Cross-covariance option for shift between variables
    • Estimation of all or part of the model parameters by a modified weighted least squares algorithm
  • Declustering
    • Cell
    • Polygonal
  • Checking for data bivariate distribution

Diagnostics

  • Cross-validation for checking the model's quality
  • Validation for checking prediction quality
  • Cross-validation comparison of several models
  • Show predicted value at cursor (MapTips)

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