.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/03_variogram/02_multi_vario.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_examples_03_variogram_02_multi_vario.py>`
        to download the full example code.

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

.. _sphx_glr_examples_03_variogram_02_multi_vario.py:


Multi-field variogram estimation
--------------------------------

In this example, we demonstrate how to estimate a variogram from multiple
fields on the same point-set that should have the same statistical properties.

.. GENERATED FROM PYTHON SOURCE LINES 8-19

.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    import gstools as gs

    x = np.random.RandomState(19970221).rand(1000) * 100.0
    y = np.random.RandomState(20011012).rand(1000) * 100.0
    model = gs.Exponential(dim=2, var=2, len_scale=8)
    srf = gs.SRF(model, mean=0)








.. GENERATED FROM PYTHON SOURCE LINES 20-21

Generate two synthetic fields with an exponential model.

.. GENERATED FROM PYTHON SOURCE LINES 21-26

.. code-block:: Python


    field1 = srf((x, y), seed=19970221)
    field2 = srf((x, y), seed=20011012)
    fields = [field1, field2]








.. GENERATED FROM PYTHON SOURCE LINES 27-29

Now we estimate the variograms for both fields individually and then again
simultaneously with only one call.

.. GENERATED FROM PYTHON SOURCE LINES 29-35

.. code-block:: Python


    bins = np.arange(40)
    bin_center, gamma1 = gs.vario_estimate((x, y), field1, bins)
    bin_center, gamma2 = gs.vario_estimate((x, y), field2, bins)
    bin_center, gamma = gs.vario_estimate((x, y), fields, bins)








.. GENERATED FROM PYTHON SOURCE LINES 36-38

Now we demonstrate that the mean variogram from both fields coincides
with the joined estimated one.

.. GENERATED FROM PYTHON SOURCE LINES 38-45

.. code-block:: Python


    plt.plot(bin_center, gamma1, label="field 1")
    plt.plot(bin_center, gamma2, label="field 2")
    plt.plot(bin_center, gamma, label="joined fields")
    plt.plot(bin_center, 0.5 * (gamma1 + gamma2), ":", label="field 1+2 mean")
    plt.legend()
    plt.show()



.. image-sg:: /examples/03_variogram/images/sphx_glr_02_multi_vario_001.png
   :alt: 02 multi vario
   :srcset: /examples/03_variogram/images/sphx_glr_02_multi_vario_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.794 seconds)


.. _sphx_glr_download_examples_03_variogram_02_multi_vario.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: 02_multi_vario.ipynb <02_multi_vario.ipynb>`

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

      :download:`Download Python source code: 02_multi_vario.py <02_multi_vario.py>`

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

      :download:`Download zipped: 02_multi_vario.zip <02_multi_vario.zip>`


.. only:: html

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

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