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Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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First collided Intensity (1)<br />

The first collided intensity in downward direction Ω<br />

corresponds to the radiation scattered only once by leaves,<br />

but which has not interacted with the soil.<br />

•Downward source coming from the direct intensity,<br />

attenuated through the first k layers, and scattered by the<br />

leaves according to their optical properties in layer k:<br />

Q<br />

0<br />

↓<br />

(z<br />

k<br />

, Ω,<br />

Ω<br />

•Downward intensity<br />

I<br />

1<br />

↓<br />

(z<br />

k<br />

, Ω,<br />

Ω<br />

0<br />

)<br />

0<br />

)<br />

=<br />

1<br />

1<br />

Γ(<br />

Ω<br />

π<br />

0<br />

→ Ω)I<br />

s<br />

⎡<br />

⎢1<br />

−<br />

⎣<br />

G( Ω0)<br />

⎤<br />

λ ⎥<br />

| μ | ⎦<br />

⎡ −<br />

⎣<br />

k<br />

= ∑<br />

0<br />

Q (zi,<br />

Ω,<br />

Ω0)<br />

λ 1<br />

↓<br />

μ<br />

⎢<br />

i=<br />

1<br />

λ<br />

| μ<br />

<strong>Gobron</strong>, N et. al. (1997) ‘A semi-discrete model for the scattering of light by vegetation’, Journal of Geophysical<br />

Research, 102, 9431-9446.<br />

0<br />

k<br />

G( Ω)<br />

⎤<br />

|<br />

⎥ ⎦<br />

48<br />

k−i

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