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

<p>This Technical Note documents and analyzes the puzzling similarity of two widely used water balance formulas: Turc–Mezentsev and Tixeront–Fu. It details their history and their hydrological and mathematical properties, and discusses the mathematical reasoning behind their slight differences...

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Main Authors: V. Andréassian, T. Sari
Format: Article
Language:English
Published: Copernicus Publications 2019-05-01
Series:Hydrology and Earth System Sciences
Online Access:https://www.hydrol-earth-syst-sci.net/23/2339/2019/hess-23-2339-2019.pdf
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spelling doaj-8d6aa540430247aab8485bf8e468e7e62020-11-25T02:06:59ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382019-05-01232339235010.5194/hess-23-2339-2019Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–FuV. Andréassian0T. Sari1Irstea, HYCAR Research Unit, Antony, FranceITAP, Univ. Montpellier, Irstea, Montpellier SupAgro, Montpellier, France<p>This Technical Note documents and analyzes the puzzling similarity of two widely used water balance formulas: Turc–Mezentsev and Tixeront–Fu. It details their history and their hydrological and mathematical properties, and discusses the mathematical reasoning behind their slight differences. Apart from the difference 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.</p>https://www.hydrol-earth-syst-sci.net/23/2339/2019/hess-23-2339-2019.pdf
collection DOAJ
language English
format Article
sources DOAJ
author V. Andréassian
T. Sari
spellingShingle V. Andréassian
T. Sari
Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
Hydrology and Earth System Sciences
author_facet V. Andréassian
T. Sari
author_sort V. Andréassian
title Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
title_short Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
title_full Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
title_fullStr Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
title_full_unstemmed Technical Note: On the puzzling similarity of two water balance formulas – Turc–Mezentsev vs. Tixeront–Fu
title_sort technical note: on the puzzling similarity of two water balance formulas – turc–mezentsev vs. tixeront–fu
publisher Copernicus Publications
series Hydrology and Earth System Sciences
issn 1027-5606
1607-7938
publishDate 2019-05-01
description <p>This Technical Note documents and analyzes the puzzling similarity of two widely used water balance formulas: Turc–Mezentsev and Tixeront–Fu. It details their history and their hydrological and mathematical properties, and discusses the mathematical reasoning behind their slight differences. Apart from the difference 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.</p>
url https://www.hydrol-earth-syst-sci.net/23/2339/2019/hess-23-2339-2019.pdf
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