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Hydrology and Earth System Sciences An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/hess-2019-39
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-2019-39
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Technical note 04 Feb 2019

Technical note | 04 Feb 2019

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Hydrology and Earth System Sciences (HESS).

Technical Note: On the confounding similarity of two water balance formulas – Turc-Mezentsev vs Tixeront-Fu

Vazken Andréassian1 and Tewfik Sari2 Vazken Andréassian and Tewfik Sari
  • 1Irstea, HYCAR Research Unit, Antony, France
  • 2ITAP, Univ Montpellier, Irstea, Montpellier SupAgro, Montpellier, France

Abstract. This Technical Note documents and analyzes the confounding similarity of two widely used water balance formulas: Turc-Mezentsev and Tixeront-Fu. It details their history, their hydrological and mathematical properties, and discusses the mathematical reasoning behind their slight differences. Apart from the difference identified in their partial differential expressions, both formulas share the same hydrological properties and it seems impossible to recommend one over the other as more hydrologically founded: hydrologists should feel free to choose the one they feel more comfortable with.

Vazken Andréassian and Tewfik Sari
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Status: open (until 01 Apr 2019)
Status: open (until 01 Apr 2019)
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Vazken Andréassian and Tewfik Sari
Vazken Andréassian and Tewfik Sari
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Short summary
In this Technical Note, we present two water balance formulas: the Turc-Mezentsev and the Tixeront-Fu formulas. These formulas have a striking numerical similarity, which we discuss in detail, and try to interpret mathematically and hydrologically.
In this Technical Note, we present two water balance formulas: the Turc-Mezentsev and the...
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