Articles | Volume 23, issue 5
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,, 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. 
Budyko, M. I.: Evaporation under natural conditions, Israel Program for Scientific Translations, Jerusalem, 130 pp., 1963/1948. 
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. 
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.