Tutorials # Basic Methods

%matplotlib widget
import matplotlib.pyplot as plt
plt.ioff()
# turn of warnings
import warnings
warnings.filterwarnings('ignore')

The covariance model class CovModel of GSTools provides a set of handy methods.

One of the following functions defines the main characterization of the variogram:

• CovModel.variogram : The variogram of the model given by

$\gamma\left(r\right)= \sigma^2\cdot\left(1-\mathrm{cor}\left(s\cdot\frac{r}{\ell}\right)\right)+n$

• CovModel.covariance : The (auto-)covariance of the model given by

$C\left(r\right)= \sigma^2\cdot\mathrm{cor}\left(s\cdot\frac{r}{\ell}\right)$

• CovModel.correlation : The (auto-)correlation (or normalized covariance) of the model given by

$\rho\left(r\right) = \mathrm{cor}\left(s\cdot\frac{r}{\ell}\right)$

• CovModel.cor : The normalized correlation taking a normalized range given by:

$\mathrm{cor}\left(h\right)$

As you can see, it is the easiest way to define a covariance model by giving a correlation function as demonstrated in the introductory example. If one of the above functions is given, the others will be determined:

import gstools as gs

model = gs.Exponential(dim=3, var=2.0, len_scale=10, nugget=0.5)
ax = model.plot("variogram")
model.plot("covariance", ax=ax)
model.plot("correlation", ax=ax)