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An empirical expression to relate aerodynamic and surface temperatures for use within single-source energy balance models
Boulet G., Olioso A., Ceschia E., Marloie O., Coudert B., Rivalland V., Chirouze J., Chehbouni G.
Agricultural and Forest Meteorology 161 (2012) 148-155 - http://hal.ird.fr/ird-00690907
Article in peer-reviewed journal
Sciences of the Universe/Continental interfaces, environment
Environmental Sciences/Global Changes
Environmental Sciences/Environmental Engineering
An empirical expression to relate aerodynamic and surface temperatures for use within single-source energy balance models
Gilles Boulet ( ) 1, Albert Olioso () 2, Eric Ceschia () 1, Olivier Marloie 2, Benoît Coudert 1, Vincent Rivalland 1, Jonas Chirouze 1, Ghani Chehbouni () 1
1:  Centre d'études spatiales de la biosphère (CESBIO)
http://www.cesbio.ups-tlse.fr
CNRS : UMR5126 – Institut de recherche pour le développement [IRD] – CNES – Observatoire Midi-Pyrénées – INSU – Université Paul Sabatier [UPS] - Toulouse III
bpi 2801 18 Av Edouard Belin 31401 TOULOUSE CEDEX 4
France
2:  Environnement Méditerranéen et Modélisation des Agro-Hydrosystèmes (EMMAH)
http://www.avignon.inra.fr/
Institut national de la recherche agronomique (INRA) : UMR1114 – Université d'Avignon
Domaine St. Paul 84914 Avignon Cedex 9
France
Single-source energy balance models are simple and particularly suited to assimilate mixed pixel remote sensing data. Mixed pixels are made up of a combination of two main elements, the soil and the vegetation. The use of single-source models implies that the reference temperature for the estimation of convective fluxes, the aerodynamic temperature, is linked to the available remotely sensed surface temperature. There are many relationships relating both temperatures in the literature, but few that try to find objective constraints on this link. These relationships account for the difference between both temperatures by dividing the roughness length for thermal turbulent transport by an expression known as "radiometric kB-1", which depends mostly on Leaf Area Index (LAI). Acknowledging that the two temperatures should be similar for bare soil and high LAI conditions, we propose an empirical relationship between LAI and the ratio of the difference between the aerodynamic and the air temperatures and the difference between the surface and the air temperatures, also known as "beta function". Nine datasets obtained in agricultural areas (four in south western France near Toulouse, four in south eastern France near Avignon, one in Morocco near Marrakech) are used to evaluate this new relationship. They all span the entire cropping season, and LAI values range from 0 to about 5. This new expression of the  function is then compared to the beta function retrieved from measured sensible heat flux and in-situ radiometric measurements as well as the beta function simulated by a two-source SVAT model (ICARE). Its performance in estimating the sensible heat compares well to other empirical or semi-empirical functions, either based on a beta function or a radiometric kB-1.
English
2011-08-02

Agricultural and Forest Meteorology
Publisher Elsevier Masson
ISSN 0168-1923 
international
2012-04-22
161
148-155

Evapotranspiration – Remote sensing – TIR – Aerodynamic temperature – kB-1
CNES/TOSCA/MISTIGRI; MISTRALS/SICMED/ReSAMed
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