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variograms: everything up; figure files
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falkmielke committed Jan 6, 2025
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13 changes: 7 additions & 6 deletions content/tutorials/spatial_variograms/index.md
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Expand Up @@ -495,9 +495,10 @@ We can still do better.

Let's mimic what the pro's do!

> **Tip**
>
> There are logical reasons for choosing Matérn, namely its generality and the assumption of Gaussian interdependence.
{{% callout note %}}
There are logical reasons for choosing Matérn, namely its generality and the assumption of Gaussian interdependence.
{{% /callout %}}


What follows is an exact quote [(source)](https://pbs-assess.github.io/sdmTMB/articles/model-description.html#gaussian-random-fields).
Note that the \\(s\\) here stants for a position vector, and *not* the smoothed `z`.
Expand Down Expand Up @@ -589,7 +590,7 @@ print_regression_results(optimizer_results, label = "Matérn")
[1] "Matérn regression: convergence 0 at (8.4748, 26.2594), mse 40.3"

{{% callout note %}}
> Some caution is warranted with the units/order of magnitude of semivariance and distance, since they affect the performance of `optim`.
Some caution is warranted with the units/order of magnitude of semivariance and distance, since they affect the performance of `optim`.
{{% /callout %}}

Inspecting the residual pattern:
Expand Down Expand Up @@ -796,7 +797,7 @@ The variance of all points in a fixed circle around you will be much higher, com
Even the inverse seems to be a general pattern:

{{% callout note %}}
> If your semivariance keeps linearly increasing, try de-trending your data.
If your semivariance keeps linearly increasing, try de-trending your data.
{{% /callout %}}


Expand Down Expand Up @@ -827,7 +828,7 @@ As expected, with purely random data, Tobler's law does not apply.
As with [Non-Newtonian fluids](https://en.wikipedia.org/wiki/Non-Newtonian_fluid), these could be called "Non-Tobleronian data".

{{% callout note %}}
> If your semivariance returns a constant, your data was not spatially related.
If your semivariance returns a constant, your data was not spatially related.
{{% /callout %}}


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