Interpolation[Kriging] - Maple Programming Help

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Interpolation[Kriging]

 FitVariogramParameters
 estimate the nugget, sill, and range parameters for a set of points and values

 Calling Sequence FitVariogramParameters(k)

Parameters

 k - a Kriging object

Description

 • The FitVariogramParameters command uses the heuristics described below to estimate the variogram parameters given a set of data.
 • The distance between each pair of points and the difference between the associated values are calculated.
 • The nugget is estimated to be the 25th percentile of the differences.
 • The sill is estimated to be the maximum of:
 – the 75th percentile of the differences, and
 – the smallest nonzero difference.
 • The range is estimated to be the 50th percentile of the distances.

Examples

 > $\mathrm{points},\mathrm{data}≔\mathrm{Interpolation}:-\mathrm{Kriging}:-\mathrm{GenerateSpatialData}\left(\mathrm{Spherical}\left(1,10,1\right)\right)$
  (1)
 > $k≔\mathrm{Interpolation}:-\mathrm{Kriging}\left(\mathrm{points},\mathrm{data}\right)$
 ${k}{≔}\left(\begin{array}{c}{Kriging intⅇrpolation obȷⅇct with 30 samplⅇ points}\\ {Variogram: Sphⅇrical\left(1.25259453854485,13.6487615617233,.5525536774\right)}\end{array}\right)$ (2)
 > $\mathrm{FitVariogramParameters}\left(k,\mathrm{Spherical}\right)$
 $\left[{1.25259453854485}{,}{13.6487615617233}{,}{0.552553677400000}\right]$ (3)

Compatibility

 • The Interpolation[Kriging][FitVariogramParameters] command was introduced in Maple 2018.