Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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Extinction coefficient We now consider photons at a depth z traveling in direction Ω. The extinction coefficient is then the probability, per unit path length, that the photon hits a leaf, i.e., the probability that a photon while traveling a distance ds along Ω is intercepted by a leaf divided by the distance ds. e ( z, ) G( z, ) ( z) σ Ω = Ω λ Where the geometry factor G is the fraction of the total leaf area (per unit volume of the canopy) that is perpendicular to Ω 1 G ( z, ) = ( Ω ) | Ω • Ω | l l 2π 2π Ω ∫ g d l Ω l Ross J. (1981) ‘The Radiation Regime and Architecture of Plant Stands’, The Hague-Boston-London: Dr. W.Junk Publishers, 391 pp. 32
Leaf Orientations <strong>Vegetation</strong> foliage features characteristic leaf-normal distributions, g(Ω L ) with preferred: • azimuthal orientations, g(φ L ) • zenithal orientations, g(θ L ): ‣ erectophile (grass) (90 o ) ‣ planophile (water cress) (0 o ) ‣ plagiophile (45 o ) ‣ extremophile (0 o and 90 o ) ‣ uniform/spherical (all) • time varying orientations: ‣ heliotropism (sunflower) ‣ para-heliotropism Ross J. (1981) ‘The Radiation Regime and Architecture of Plant Stands’, The Hague-Boston-London: Dr. W.Junk Publishers, 391 pp. 33
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 and 22: Extension to N Flux (2) In the limi
Page 23 and 24: Atmosphere Vegetation Soil Vertical
Page 27 and 28: Discrete canopy: 1D representation
Page 29 and 30: Vegetation ‘Optical Depth’ •
Page 31: ~ Extinction coefficient σ ( z, Ω
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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