@article{fdi:010055954,
  title = {{A}n empirical expression to relate aerodynamic and surface temperatures for use within single-source energy balance models},
  author = {{B}oulet, {G}illes and {O}lioso, {A}. and {C}eschia, {E}. and {M}arloie, {O}. and {C}oudert, {B}. and {R}ivalland, {V}. and {C}hirouze, {J}. and {C}hehbouni, {A}bdelghani},
  editor = {},
  language = {{ENG}},
  abstract = {{S}ingle-source energy balance models are simple and particularly suited to assimilate mixed pixel remote sensing data. {M}ixed pixels are made up of a combination of two main elements, the soil and the vegetation. {T}he 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. {T}here are many relationships relating both temperatures in the literature, but few that try to find objective constraints on this link. {T}hese relationships accounts for the difference between both temperatures by dividing the roughness length for thermal turbulent transport by an expression known as "radiometric k{B}(-1)", which depends mostly on {L}eaf {A}rea {I}ndex ({LAI}). {A}cknowledging 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". {N}ine datasets obtained in agricultural areas (four in south western {F}rance near {T}oulouse, four in south eastern {F}rance near {A}vignon, one in {M}orocco near {M}arrakech) are used to evaluate this new relationship. {T}hey all span the entire cropping season, and {LAI} values range from 0 to about 5. {T}his new expression of the beta 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}). {I}ts performance in estimating the sensible heat compares well to other empirical or semi-empirical functions, either based on a beta function or a radiometric k{B}(-1).},
  keywords = {{E}vapotranspiration ; {R}emote sensing ; {TIR} ; {A}erodynamic temperature ; k{B}(-1)},
  booktitle = {},
  journal = {{A}gricultural and {F}orest {M}eteorology},
  volume = {161},
  numero = {},
  pages = {148--155},
  ISSN = {0168-1923},
  year = {2012},
  DOI = {10.1016/j.agrformet.2012.03.008},
  URL = {https://www.documentation.ird.fr/hor/fdi:010055954},
}