FitVariogramParameters - Maple Help

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Interpolation[Kriging]

  

FitVariogramParameters

  

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

 

Calling Sequence

Parameters

Description

Examples

Compatibility

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

points,dataInterpolation:-Kriging:-GenerateSpatialDataSpherical1,10,1

points,data0.8147236863931790.7060460880196090.9057919370756190.03183284637742070.1269868162935060.2769229849608900.9133758561390190.04617139063115390.6323592462254100.09713178123584750.09754040499940950.8234578283272930.2784982188670480.6948286229758170.5468815192049840.3170994800608610.9575068354342980.9502220488383550.9648885351992770.034446080502908830 × 2 Matrix,−1.313178883098413.78399452938781−4.079067475567302.810336570210803.071599080823320.128958765233144−3.217372722382460.7072451657106190.08778773037919260.93729662185649830 element Vector[column]

(1)

kInterpolation:-Krigingpoints,data

kKrⅈgⅈng ⅈntⅇrpolatⅈon obȷⅇct wⅈth 30 samplⅇ poⅈntsVarⅈogram: Sphⅇrⅈcal(1.25259453854482,13.6487615617247,.5525536774)

(2)

FitVariogramParametersk,Spherical

1.25259453854482,13.6487615617247,0.552553677400000

(3)

Compatibility

• 

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

• 

For more information on Maple 2018 changes, see Updates in Maple 2018.

See Also

Constructor

Interpolating at a point

Kriging

SetVariogram