Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 27, issue 5
Articles | Volume 27, issue 5
https://doi.org/10.5194/hess-27-991-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-27-991-2023
© Author(s) 2023. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 27, issue 5
Research article
 | 
06 Mar 2023
Research article |  | 06 Mar 2023

Hydrological objective functions and ensemble averaging with the Wasserstein distance

Jared C. Magyar and Malcolm Sambridge

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Short summary
Measuring the similarity of distributions of water is a useful tool for model calibration and assessment. We provide a new way of measuring this similarity for streamflow time series. It is derived from the concept of the amount of work required to rearrange one mass distribution into the other. We also use similar mathematical techniques for defining a type of average between water distributions.
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