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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 245ird-00392669, version 1 - 9 Jun 2009<strong>and</strong> CO 2 uptake, evapotranspiration <strong>and</strong> water depletion, spatio-temporal variabilityof soil moisture [39, 40–43]; (5) long-term dynamics of l<strong>and</strong> c<strong>over</strong> [44], l<strong>and</strong>surface radiative budget [45–48], water shortage <strong>and</strong> drought [49].TIR remote sens<strong>in</strong>g allow retriev<strong>in</strong>g emissivity <strong>and</strong> temperature, with variouscomplexity degrees presented <strong>in</strong> Section 10.2. The remotely sensed <strong>in</strong>formationis collected from operational <strong>and</strong> prospective sensors, listed <strong>in</strong> Section 10.3. This<strong>in</strong>formation is characterized by temporal <strong>and</strong> spatial dimensions (Section 10.3.1),as well as by spectral <strong>and</strong> directional dimensions (Section 10.3.2). Then, <strong>in</strong>ferr<strong>in</strong>gemissivity <strong>and</strong> temperature consists of develop<strong>in</strong>g <strong>and</strong> <strong>in</strong>vert<strong>in</strong>g model<strong>in</strong>g tools,by exploit<strong>in</strong>g the dimensions of the collected <strong>in</strong>formation (Section 10.4). Basedon TIR fundamentals (Section 10.4.1), simple radiative transfer equations directlyl<strong>in</strong>k measurements to emissivities <strong>and</strong> temperatures of <strong>in</strong>terest (Section 10.4.2),<strong>and</strong> simulation models describe the <strong>in</strong>fluence of radiative regime on measurements(Section 10.4.3). However, simple radiative transfer equations must be parameterized,<strong>and</strong> simulation models require significant <strong>in</strong>formation. Further, <strong>in</strong>version isnot trivial: most of simulation models are not directly <strong>in</strong>vertible, <strong>and</strong> the numerousparameters to be constra<strong>in</strong>ed from remote sens<strong>in</strong>g make <strong>in</strong>version is often an illposed problem (Section 10.4.4). The several solutions proposed to <strong>over</strong>come thesedifficulties are assessed us<strong>in</strong>g validations, <strong>in</strong>tercomparisons, <strong>and</strong> sensitivity studies(Section 10.5).Current limitations <strong>and</strong> proposed solutions are presented with an <strong>in</strong>creas<strong>in</strong>gcomplexity for the temperatures of <strong>in</strong>terest (Section 10.6). Atmospheric perturbationsare corrected by <strong>in</strong>vert<strong>in</strong>g model<strong>in</strong>g tools for atmosphere, <strong>and</strong> surfacebrightness temperature measurements are simulated us<strong>in</strong>g model<strong>in</strong>g tools for l<strong>and</strong>surfaces (Section 10.6.1). Surface emissivity effects are removed us<strong>in</strong>g simple radiativetransfer equations (Section 10.6.2). Reported performances suggest accuraciesrather close to requirements, though ref<strong>in</strong>ements are necessary. Rec<strong>over</strong><strong>in</strong>g temperaturefor the one source model<strong>in</strong>g of heat transfers is still not trivial, s<strong>in</strong>ce therequired parameterization significantly varies <strong>in</strong> time <strong>and</strong> space (Section 10.6.3).Recent studies suggested focus<strong>in</strong>g on more elaborated temperatures: soil <strong>and</strong> vegetationcomponents, optionally sunlit <strong>and</strong> shaded, <strong>and</strong> canopy temperature profile.Their retrieval is forthcom<strong>in</strong>g challenge, with efforts on measur<strong>in</strong>g, model<strong>in</strong>g <strong>and</strong><strong>in</strong>version (Section 10.6.4). The paper ends with forefront <strong>in</strong>vestigations about space<strong>and</strong> time issues <strong>in</strong> TIR remote sens<strong>in</strong>g: monitor<strong>in</strong>g l<strong>and</strong> processes with adequatespatial scales <strong>and</strong> temporal sampl<strong>in</strong>gs, by us<strong>in</strong>g available remote sens<strong>in</strong>g observations(Section 10.7).10.2 L<strong>and</strong> Surface Emissivity/Temperature from TIR <strong>Remote</strong>Sens<strong>in</strong>gThis section def<strong>in</strong>es the various terms considered <strong>in</strong> TIR remote sens<strong>in</strong>g, whichare related to l<strong>and</strong> surface emissivity <strong>and</strong> temperature. We focus on their physicaldef<strong>in</strong>itions <strong>and</strong> various <strong>in</strong>terests. The correspond<strong>in</strong>g equations are detailed <strong>in</strong>Section 10.4.Uncorrected Proof

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