Model

Interpolation

Create surfaces from sample data using these interpolation methods:

• 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 data 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)
• Isotropical or anisotropical models

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

Searching Neighborhood

To select neighboring data to predict the value for the target point

• Ellipse with one, four, or eight angular sectors
• Minimum and maximum number of points in each sector