Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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Vertical radiative coupling between geophysical media Atmosphere Vegetation Soil Upper limit (1) RTE Lower Limit (1) Upper limit (2) RTE Lower Limit (2) Upper limit (3) RTE Lower Limit (3) Z A Z V Z S In each medium, the transfer of radiation may be represented by the following approximate equation: ∂ [ −μ + ~ σ ~ e ( z, Ω, ΩO)] I( z, Ω) = ∫σ s ( z, Ω' → Ω) I( z, Ω') dΩ' ∂τ Extinction coefficient Differential 4Π scattering coefficient Pinty, B. and M. M. Verstraete (1998) `Introduction to Radiation Transfer Modeling in Geophysical Media’, in From Urban Air Pollution to Extra-Solar Planets, ERCA Volume 3 Edited by C. Boutron, EDP Sciences, Les Ulis, France, 67-87. 22
Atmosphere Vegetation Soil Vertical radiative coupling between geophysical media •Non oriented small scatterers •Infinite number of scatterers •Low density turbid medium •Oriented finite-size scatterers •Finite number of scatterers •Dense discrete medium •Oriented small-size scatterers •Infinite number of clustered scatterers •Compact semi-infinite medium Pinty, B. and M. M. Verstraete (1998) `Introduction to Radiation Transfer Modeling in Geophysical Media’, in From Urban Air Pollution to Extra-Solar Planets, ERCA Volume 3 Edited by C. Boutron, EDP Sciences, Les Ulis, France, 67-87. 23
Page 1 and 2: Radiative Transfer Modeling …. ov
Page 3 and 4: Satellites have different “eyes
Page 5 and 6: Model of radiation transfer • Sin
Page 7 and 8: Outline • Radiative Transfer Equa
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: Extension to N Flux (2) In the limi
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 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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