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

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10 <strong>Model<strong>in</strong>g</strong> <strong>and</strong> <strong>Inversion</strong> <strong>in</strong> <strong>Thermal</strong> <strong>Infrared</strong> <strong>Remote</strong> Sens<strong>in</strong>g 25910.6.1 Surface Brightness Temperatureird-00392669, version 1 - 9 Jun 2009Surface brightness temperature is derived from that at the sensor level by <strong>in</strong>vert<strong>in</strong>gmodel<strong>in</strong>g tools for atmosphere. It is simulated us<strong>in</strong>g model<strong>in</strong>g tools for l<strong>and</strong> surfaces.In both cases, these tools are simple radiative transfer equations or simulationmodels.10.6.1.1 Atmospheric Radiative Regime <strong>and</strong> Related CorrectionsAtmospheric corrections for the retrieval of surface brightness temperature can beperformed <strong>in</strong>vert<strong>in</strong>g simulation models, via the calibration of the atmospheric radiativetransfer equation (Eq. 10.6) for a given atmosphere [12, 81, 157, 158, 171,172, 177, 178]. An operational context faces two challenges: reduc<strong>in</strong>g computationtime to process millions observations, <strong>and</strong> accurately characteriz<strong>in</strong>g the atmosphericstatus.To reduce by a third-order computation time for simulation models without accuracydegradation, [190] implemented correlated-K methods, by quickly <strong>in</strong>tegrat<strong>in</strong>gwaveb<strong>and</strong> atmospheric absorption <strong>and</strong> emission. Predictor based models accuratelycompute the latter for a range of reference profiles, to next differenc<strong>in</strong>g current ones<strong>and</strong> nearest predictors [191]. Multilayer computation based on water vapor cont<strong>in</strong>uumabsorption can replace simulation models, with an accuracy degradation lowerthan 1 K [81]. Computation time can also be reduced via <strong>in</strong>version by <strong>in</strong>clud<strong>in</strong>ga range of atmospheres <strong>in</strong>to the simulation set. Express<strong>in</strong>g transmittance <strong>and</strong> upwell<strong>in</strong>gradiance of Eq. 10.6 from atmosphere water vapor content <strong>and</strong> mean temperatureyields an accuracy degradation lower than 2 K [180]. Neural networks canreplace Eq. 10.6 consider<strong>in</strong>g atmospheric profiles <strong>and</strong> view zenith angle, with anaccuracy degradation lower than 0.5 K [186, 192].The atmospheric status can be well documented us<strong>in</strong>g ancillary <strong>in</strong>formation:measured profiles allow reach<strong>in</strong>g a 1 K accuracy [171, 172, 177, 178], but meteorologicalnetworks are not dense enough for regional <strong>in</strong>version. One alternativeis profile simulation from meteorological models [193, 194]. Such <strong>in</strong>formation issoon available with a 3 h sampl<strong>in</strong>g, <strong>and</strong> a 0.25 ◦ latitude/longitude grid<strong>in</strong>g to bere-sampled to sensor resolutions via <strong>in</strong>terpolation procedures [12, 195]. The relief<strong>in</strong>fluence is h<strong>and</strong>led us<strong>in</strong>g digital elevation models, now available with decametricresolutions <strong>and</strong> metric accuracies [196]. Also, the TIR observations to be correctedcan <strong>in</strong>form about the atmospheric status. Atmosphere absorption <strong>and</strong> emission canbe retrieved from multispectral <strong>and</strong> hyperspectral observations, us<strong>in</strong>g variabilitiesof atmospheric properties [80, 197]. Thus, water vapor content was adjusted fromASTER multispectral observations, such as emissivity spectrum is flat <strong>over</strong> vegetationor water [185]. It was also <strong>in</strong>ferred from the ATSR-2 SW channels with a0.2 g. cm −2 accuracy, us<strong>in</strong>g the SWVCR which relies on the spatial variability ofSW surface brightness temperatures [198].Solar or TIR observations collected onboard the same platform also provideco<strong>in</strong>cident <strong>in</strong>formation about the atmospheric status. [199] expressed water vaporUncorrected Proof

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