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Python package to perform timeseries analysis of multiplehydrological time series using a dynamic factor model.

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Metran is a package for performing multivariate timeseries analysis using a technique called dynamic factor modelling. It can be used to describe the variation among many variables in terms of a few underlying but unobserved variables called factors.


To install Metran, a working version of Python 3.7 or 3.8 has to be installed on your computer. We recommend using the Anaconda Distribution with Python 3.8 as it includes most of the python package dependencies and the Jupyter Notebook software to run the notebooks. However, you are free to install any Python distribution you want.

To install metran, type the following command

pip install metran

To install in development mode, clone the repository and type the following from the module root directory:

pip install -e .


The docs can be viewed here.


For a brief introduction of the theory behind Metran on multivariate timeseries analysis with dynamic factor modeling see the notebook:

A practical real-world example, as published in Stromingen (Van Geer, 2015), is given in the following notebook:

A notebook on how to use Pastas models output with Metran:


Metran has the following dependencies which are automatically installed if not already available:

  • numpy>=1.16.5
  • pandas>=1.0
  • scipy>=1.1
  • matplotlib>=3.0
  • pastas>=0.16.0
  • numba


  • Berendrecht, W.L. (2004). State space modeling of groundwater fluctuations.
  • Berendrecht, W.L., F.C. van Geer (2016). A dynamic factor modeling framework for analyzing multiple groundwater head series simultaneously, Journal of Hydrology, 536, pp. 50-60, doi:
  • Van Geer, F.C. en W.L. Berendrecht (2015) Meervoudige tijdreeksmodellen en de samenhang in stijghoogtereeksen. Stromingen 23 nummer 3, pp. 25-36.

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