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Theoretical transiograms

We provide various theoretical transiogram models from the literature, which can can be combined with ellipsoid distances to model geometric anisotropy.

Models

Linear

GeoStatsFunctions.LinearTransiogram — Type
LinearTransiogram(; ranges, proportions)
LinearTransiogram(ball; proportions)

A linear transiogram with ranges, and proportions. Optionally, use a custom metric ball.

source
transioplot(LinearTransiogram())
Example block output

Gaussian

GeoStatsFunctions.GaussianTransiogram — Type
GaussianTransiogram(; ranges, proportions)
GaussianTransiogram(ball; proportions)

A Gaussian transiogram with ranges, and proportions. Optionally, use a custom metric ball.

source
transioplot(GaussianTransiogram())
Example block output

Spherical

GeoStatsFunctions.SphericalTransiogram — Type
SphericalTransiogram(; ranges, proportions)
SphericalTransiogram(ball; proportions)

A spherical transiogram with ranges, and proportions. Optionally, use a custom metric ball.

source
transioplot(SphericalTransiogram())
Example block output

Exponential

GeoStatsFunctions.ExponentialTransiogram — Type
ExponentialTransiogram(; ranges, proportions)
ExponentialTransiogram(ball; proportions)

A exponential transiogram with ranges, and proportions. Optionally, use a custom metric ball.

source
transioplot(ExponentialTransiogram())
Example block output

MatrixExponential

GeoStatsFunctions.MatrixExponentialTransiogram — Type
MatrixExponentialTransiogram(rate)
MatrixExponentialTransiogram(ball, rate)

An exponential transiogram with transition rate matrix. Optionally, specify a metric ball to model anisotropy.

MatrixExponentialTransiogram(lengths, proportions)
MatrixExponentialTransiogram(ball, lengths, proportions)

Alternatively, build transition rate matrix from mean lengths and relative proportions.

References

source
transioplot(MatrixExponentialTransiogram((1.0u"m", 1.0u"m"), (0.5, 0.5)))
Example block output

PiecewiseLinear

GeoStatsFunctions.PiecewiseLinearTransiogram — Type
PiecewiseLinearTransiogram(abscissas, ordinates)
PiecewiseLinearTransiogram(ball, abscissas, ordinates)

A piecewise-linear transiogram model with abscissas and matrix ordinates obtained from an EmpiricalTransiogram. Optionally, specify a metric ball to model anisotropy.

References

source