ArcGIS for Desktop Extensions

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# 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
• 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
• 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