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Modeling and Inversion in Thermal Infrared Remote Sensing over ...

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246 F. Jacob et al.ird-00392669, version 1 - 9 Jun 2009– Surface brightness temperature is equivalent to the radiance outgo<strong>in</strong>g from thetarget, by assum<strong>in</strong>g a unity emissivity [50], <strong>and</strong> corresponds to the basic TIRremote sens<strong>in</strong>g measurement. It is rec<strong>over</strong>ed from at sensor measurements perform<strong>in</strong>gatmospheric corrections. It can be assimilated, us<strong>in</strong>g model<strong>in</strong>g tools forl<strong>and</strong> surface, <strong>in</strong>to process models such as SVAT <strong>and</strong> crop models [18, 38, 39, 43].– Ensemble waveb<strong>and</strong> emissivity is needed to derive radiometric temperature frombrightness temperature [50, 51]. It is also useful for retriev<strong>in</strong>g ensemble broadb<strong>and</strong>emissivity, a key parameter for l<strong>and</strong> surface radiative budget [52–54].– Ensemble radiometric temperature is emissivity normalized [50, 51]; <strong>and</strong> correspondsto k<strong>in</strong>etic temperature for an homogeneous <strong>and</strong> isothermal surface [55].It is used to estimate surface energy fluxes <strong>and</strong> water status from spatial variability<strong>in</strong>dicators: the vegetation <strong>in</strong>dex / temperature triangle [41, 56–58]; or thealbedo / temperature diagram [23, 37, 59, 60]. It is also used for retriev<strong>in</strong>g soil<strong>and</strong> vegetation temperatures from two source energy balance model<strong>in</strong>g [19, 24].– Aerodynamic temperature is air temperature at the thermal roughness length [50].It is the physical temperature to be used with one source models of surface energyfluxes based on excess resistance [61–63]. These can be SVAT models [39, 64];or energy balance models [22, 23, 37, 59, 60, 65, 66].– Soil <strong>and</strong> vegetation temperatures correspond to k<strong>in</strong>etic [67] or radiometric [68]temperatures. They are often used for two-source model<strong>in</strong>g. The latter can beSVAT models [43, 67, 69]; or energy balance models [70, 20, 71]. Retriev<strong>in</strong>gthese temperatures requires an adequate estimation of directional ensemble emissivity.– Sunlit <strong>and</strong> shaded components are ref<strong>in</strong>ements of soil <strong>and</strong> vegetation temperatures.They can significantly differ, accord<strong>in</strong>g to various factors which drive thethermal regime: the water status, the solar exposure result<strong>in</strong>g from the canopygeometry <strong>and</strong> the illum<strong>in</strong>ation direction. These components are of <strong>in</strong>terest forunderst<strong>and</strong><strong>in</strong>g canopy directional brightness <strong>and</strong> radiometric temperatures [58,72–74].– Canopy temperature profile, from the soil surface to the top of canopy, is thef<strong>in</strong>est temperature one can consider. Similarly to sunlit <strong>and</strong> shaded componentsfor soil <strong>and</strong> vegetation temperatures, this thermal regime is considered for underst<strong>and</strong><strong>in</strong>gcanopy directional brightness <strong>and</strong> radiometric temperatures, <strong>in</strong> relationwith local energy balance with<strong>in</strong> the canopy [75–78].The seek accuracies vary from one application to another,accord<strong>in</strong>g to the sensitivitiesof process models. For temperature, the goal is accuracy better than 1 K [79].For emissivity, the goal is absolute accuracy better than 0.01 [80]. Rec<strong>over</strong><strong>in</strong>g bothrelies on exploit<strong>in</strong>g the dimensions of the TIR remotely sensed <strong>in</strong>formation.10.3 Available Information from TIR <strong>Remote</strong> Sens<strong>in</strong>gUncorrected ProofThe four dimensions of the remotely sensed <strong>in</strong>formation are temporal <strong>and</strong> spatial(Section 10.3.1), <strong>and</strong> spectral <strong>and</strong> directional (Section 10.3.2). Due to orbital rules

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