is an option to SpatialEstimate and other spatial functions that gives the noise variance level in the data.


SpatialNoiseLevel
is an option to SpatialEstimate and other spatial functions that gives the noise variance level in the data.
Details

- SpatialNoiseLevel is also known as a nugget or variogram nugget.
- SpatialNoiseLevel effectively describes the data measurement error.
- SpatialNoiseLevel together with VariogramFunction is used to make local predictions of spatial values. Combining local predictions with a global trend gives the full spatial prediction function.
- The effect on spatial prediction of specifying positive SpatialNoiseLevel is that the prediction function is no longer required to interpolate through the values at each location. In such a case, the prediction surface no longer interpolates the data, but it is a smoother approximating surface.
- Possible settings for SpatialNoiseLevel:
-
Automatic estimate the noise level from the data θ specifiy the non-negative noise level of size


Examples
open all close allBasic Examples (2)
Add noise variance to VariogramModel:
Create prediction surface with and without spatial noise variance:
Create spatial predictor function with zero noise level:
Scope (1)
Applications (1)
SpatialNoiseLevel can create a smoother picture of the data:
Standard ways to visualize the data:
Properties & Relations (1)
Only with zero SpatialNoiseLevel is SpatialEstimate an exact interpolator:
Compute spatial estimate for varying values of spatial noise level:
Related Guides
History
Text
Wolfram Research (2021), SpatialNoiseLevel, Wolfram Language function, https://reference.wolfram.com/language/ref/SpatialNoiseLevel.html.
CMS
Wolfram Language. 2021. "SpatialNoiseLevel." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SpatialNoiseLevel.html.
APA
Wolfram Language. (2021). SpatialNoiseLevel. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SpatialNoiseLevel.html
BibTeX
@misc{reference.wolfram_2025_spatialnoiselevel, author="Wolfram Research", title="{SpatialNoiseLevel}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/SpatialNoiseLevel.html}", note=[Accessed: 11-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_spatialnoiselevel, organization={Wolfram Research}, title={SpatialNoiseLevel}, year={2021}, url={https://reference.wolfram.com/language/ref/SpatialNoiseLevel.html}, note=[Accessed: 11-August-2025]}