Articles | Volume 23, issue 5
https://doi.org/10.5194/hess-23-2339-2019
https://doi.org/10.5194/hess-23-2339-2019
Technical note
 | 
14 May 2019
Technical note |  | 14 May 2019

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

Vazken Andréassian and Tewfik Sari

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Cited articles

Andréassian, V., Mander, Ü., and Pae, T.: The Budyko hypothesis before Budyko: The hydrological legacy of Evald Oldekop, J. Hydrol., 535, 386–391, https://doi.org/10.1016/j.jhydrol.2016.02.002, 2016. 
Bagrov, N.: On long-term average of evapotranspiration from land surface, Meteorologia i Gidrologia, 10, 20–25, 1953. 
Berkaloff, E. and Tixeront, J.: Notice de la carte du ruissellement annuel moyen en Tunisie, Etudes Hydraulique et Hydrologie, Série I, Fascicule 7, Ministère des Travaux Publics du Royaume de Tunisie, Tunis, 11 pp., 1958. 
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Choudhury, B.: Evaluation of an empirical equation for annual evaporation using field observations and results from a biophysical model, J. Hydrol., 216, 99–110, 1999. 
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Short summary
In this Technical Note, we present two water balance formulas: the Turc–Mezentsev and Tixeront–Fu formulas. These formulas have a puzzling numerical similarity, which we discuss in detail and try to interpret mathematically and hydrologically.