.. _sphx_glr_auto_examples_indicators:

Calculating indicators with Biogeme
***********************************

Examples discussed in `Bierlaire (2018) Calculating indicators with PandasBiogeme
<http://transp-or.epfl.ch/documents/technicalReports/Bier18a.pdf>`_





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    <div class="sphx-glr-thumbnails">


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    <div class="sphx-glr-thumbcontainer" tooltip="Prepare data for the Optima case study.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_optima_data_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_optima_data.py`

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      <div class="sphx-glr-thumbnail-title">Data preparation for Optima</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Example of manipulating mathematical expressions and calculation of derivatives.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b01expressions_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b01expressions.py`

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      <div class="sphx-glr-thumbnail-title">Examples of mathematical expressions</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip=" We estimate a nested logit model and we perform simulation using the  estimated model.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b02estimation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b02estimation.py`

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      <div class="sphx-glr-thumbnail-title">Estimation and simulation of a nested logit model</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use an estimated model to perform various simulations.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b03simulation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b03simulation.py`

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      <div class="sphx-glr-thumbnail-title">Simulation of a choice model</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use an estimated model to calculate market shares.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b04market_shares_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b04market_shares.py`

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      <div class="sphx-glr-thumbnail-title">Calculation of market shares</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use an estimated model to calculate revenues.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b05revenues_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b05revenues.py`

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      <div class="sphx-glr-thumbnail-title">Calculation of revenues</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use a previously estimated nested logit model and calculate  disaggregate and aggregate dire...">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b06point_elasticities_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b06point_elasticities.py`

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      <div class="sphx-glr-thumbnail-title">Direct point elasticities</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use a previously estimated nested logit model and calculate disaggregate and aggregate cross...">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b07cross_elasticities_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b07cross_elasticities.py`

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      <div class="sphx-glr-thumbnail-title">Cross point elasticities</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We use a previously estimated nested logit model and calculate arc elasticities.">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b08arc_elasticities_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b08arc_elasticities.py`

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      <div class="sphx-glr-thumbnail-title">Arc elasticities</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="We calculate and plot willingness to pay. Details about this example are available in Section 4...">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_plot_b09wtp_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_plot_b09wtp.py`

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      <div class="sphx-glr-thumbnail-title">Calculation of willingness to pay</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="Specification of a nested logit model, that will be estimated, and  used for simulation.  Three...">

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  .. image:: /auto_examples/indicators/images/thumb/sphx_glr_scenarios_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_indicators_scenarios.py`

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      <div class="sphx-glr-thumbnail-title">Specification of a nested logit model</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /auto_examples/indicators/optima_data
   /auto_examples/indicators/plot_b01expressions
   /auto_examples/indicators/plot_b02estimation
   /auto_examples/indicators/plot_b03simulation
   /auto_examples/indicators/plot_b04market_shares
   /auto_examples/indicators/plot_b05revenues
   /auto_examples/indicators/plot_b06point_elasticities
   /auto_examples/indicators/plot_b07cross_elasticities
   /auto_examples/indicators/plot_b08arc_elasticities
   /auto_examples/indicators/plot_b09wtp
   /auto_examples/indicators/scenarios