Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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Radiative Transfer Modeling • In solar domain, radiation transfer models are tools to represent the scattering and absorption of radiation by scattering elements/centers. They should satisfy energy conservation. • Spectral properties are depending on the geophysical medium: atmosphere, ocean, soil, or vegetation • Monograph dealing with RT problems in geophysics (Chandrasekhar (1960), Van de Hulst (1957), Lenoble (1993), Hapke (1993), Liou (1980) etc…) mainly concentrate on mathematical issues related to solving equations. • Rather than discussing the solving of approximate equations applicable to realistic geophysical situations, we will concentrate on exact and light mathematical treatment of a simplified physical system… 6
Outline • Radiative Transfer Equations • Radiative Transfer Modeling for vegetation canopy. • Inversion problem for the retrieval of land products with actual remote sensing data. 7
Page 1 and 2: Radiative Transfer Modeling …. ov
Page 3 and 4: Satellites have different “eyes
Page 5: Model of radiation transfer • Sin
Page 9 and 10: • The system under consideration
Page 11 and 12: Basic Processes (2) •The upward a
Page 13 and 14: Conservation of radiant energy for
Page 15 and 16: Asymmetry factor for scattering pro
Page 17 and 18: Single scattering albedo ↓ ∂I (
Page 19 and 20: Two-stream equations • In a more
Page 21 and 22: Extension to N Flux (2) In the limi
Page 23 and 24: Atmosphere Vegetation Soil Vertical
Page 25 and 26: Outline • Radiative Transfer Equa
Page 27 and 28: Discrete canopy: 1D representation
Page 29 and 30: Vegetation ‘Optical Depth’ •
Page 31 and 32: ~ Extinction coefficient σ ( z, Ω
Page 33 and 34: Leaf Orientations Vegetation foliag
Page 35 and 36: Leaf scattering properties • Leaf
Page 37 and 38: Canopy scattering phase function
Page 39 and 40: •When the radiation is scattered
Page 41 and 42: Separation of Scattering Order ρ (
Page 43 and 44: I 0 ↑ (H, Ω, Ω 0 ) = 1 π γ s
Page 45 and 46: Uncollided BRF in Principal Plan So
Page 47 and 48: Uncollided BRF in Cross Plan Solar
Page 49 and 50: First collided Intensity (2) The fi
Page 51 and 52: Single Collided BRF in Principal Pl
Page 53 and 54: Ω•∇I λ (x,Ω)+G(x,Ω)u L (x)I
Page 55 and 56: Outline • Radiative Transfer Equa
Page 57 and 58:
Association of physical measurement
Page 59 and 60:
Model Inversion • In general, the
Page 61 and 62:
Space Observation Strategies Source
Page 63 and 64:
Overview of MISR Ref: http://www-mi
Page 65 and 66:
Bidirectional Reflectance Factor at
Page 67 and 68:
Bidirectional Reflectance Factor at
Page 69 and 70:
Fraction of Absorbed Photosynthetic
Page 71 and 72:
Scheme for the algorithm optimizati
Page 73 and 74:
RT model driven improvement for FAP
Page 75 and 76:
JRC-FAPAR products Equivalent phys
Page 77 and 78:
08/01 08/02 08/03 08/04 08/05 08/06
Page 79 and 80:
Validation protocol • The perform
Page 81 and 82:
Rice (Pavia, IT) FAPAR July 2003 Lo
Page 83 and 84:
Ground-based Estimations • Three
Page 85 and 86:
http://fapar.jrc.it/ 85
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Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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