.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples/03_variogram/05_auto_fit_variogram.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_05_auto_fit_variogram.py>`
        to download the full example code.

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

.. _sphx_glr_examples_03_variogram_05_auto_fit_variogram.py:


Fit Variogram with automatic binning
------------------------------------

.. GENERATED FROM PYTHON SOURCE LINES 5-10

.. code-block:: Python


    import numpy as np

    import gstools as gs








.. GENERATED FROM PYTHON SOURCE LINES 11-12

Generate a synthetic field with an exponential model.

.. GENERATED FROM PYTHON SOURCE LINES 12-19

.. code-block:: Python


    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, seed=19970221)
    field = srf((x, y))
    print(field.var())




.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    1.6791948750716688




.. GENERATED FROM PYTHON SOURCE LINES 20-21

Estimate the variogram of the field with automatic binning.

.. GENERATED FROM PYTHON SOURCE LINES 21-26

.. code-block:: Python


    bin_center, gamma = gs.vario_estimate((x, y), field)
    print("estimated bin number:", len(bin_center))
    print("maximal bin distance:", max(bin_center))





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    estimated bin number: 21
    maximal bin distance: 45.88516574202333




.. GENERATED FROM PYTHON SOURCE LINES 27-28

Fit the variogram with a stable model (no nugget fitted).

.. GENERATED FROM PYTHON SOURCE LINES 28-33

.. code-block:: Python


    fit_model = gs.Stable(dim=2)
    fit_model.fit_variogram(bin_center, gamma, nugget=False)
    print(fit_model)





.. rst-class:: sphx-glr-script-out

 .. code-block:: none

    Stable(dim=2, var=1.85, len_scale=7.42, alpha=1.09)




.. GENERATED FROM PYTHON SOURCE LINES 34-35

Plot the fitting result.

.. GENERATED FROM PYTHON SOURCE LINES 35-38

.. code-block:: Python


    ax = fit_model.plot(x_max=max(bin_center))
    ax.scatter(bin_center, gamma)



.. image-sg:: /examples/03_variogram/images/sphx_glr_05_auto_fit_variogram_001.png
   :alt: 05 auto fit variogram
   :srcset: /examples/03_variogram/images/sphx_glr_05_auto_fit_variogram_001.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.210 seconds)


.. _sphx_glr_download_examples_03_variogram_05_auto_fit_variogram.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: 05_auto_fit_variogram.ipynb <05_auto_fit_variogram.ipynb>`

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

      :download:`Download Python source code: 05_auto_fit_variogram.py <05_auto_fit_variogram.py>`

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

      :download:`Download zipped: 05_auto_fit_variogram.zip <05_auto_fit_variogram.zip>`


.. only:: html

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

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