.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/01_random_field/00_gaussian.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_01_random_field_00_gaussian.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_01_random_field_00_gaussian.py:


A Very Simple Example
---------------------

We are going to start with a very simple example of a spatial random field
with an isotropic Gaussian covariance model and following parameters:

- variance :math:`\sigma^2=1`
- correlation length :math:`\lambda=10`

First, we set things up and create the axes for the field. We are going to
need the :any:`SRF` class for the actual generation of the spatial random field.
But :any:`SRF` also needs a covariance model and we will simply take the
:any:`Gaussian` model.

.. GENERATED FROM PYTHON SOURCE LINES 16-21

.. code-block:: Python


    import gstools as gs

    x = y = range(100)








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Now we create the covariance model with the parameters :math:`\sigma^2` and
:math:`\lambda` and hand it over to :any:`SRF`. By specifying a seed,
we make sure to create reproducible results:

.. GENERATED FROM PYTHON SOURCE LINES 25-29

.. code-block:: Python


    model = gs.Gaussian(dim=2, var=1, len_scale=10)
    srf = gs.SRF(model, seed=20170519)








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With these simple steps, everything is ready to create our first random field.
We will create the field on a structured grid (as you might have guessed from
the `x` and `y`), which makes it easier to plot.

.. GENERATED FROM PYTHON SOURCE LINES 33-37

.. code-block:: Python


    field = srf.structured([x, y])
    srf.plot()




.. image-sg:: /examples/01_random_field/images/sphx_glr_00_gaussian_001.png
   :alt: Field 2D structured: (100, 100)
   :srcset: /examples/01_random_field/images/sphx_glr_00_gaussian_001.png
   :class: sphx-glr-single-img





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Wow, that was pretty easy!


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.401 seconds)


.. _sphx_glr_download_examples_01_random_field_00_gaussian.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: 00_gaussian.ipynb <00_gaussian.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: 00_gaussian.py <00_gaussian.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: 00_gaussian.zip <00_gaussian.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_