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Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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I<br />

0<br />

↑<br />

(H, Ω,<br />

Ω<br />

0<br />

)<br />

=<br />

1<br />

π<br />

γ<br />

s<br />

Uncollided intensity (2)<br />

The radiation scattered by the soil, which provides the lower<br />

radiative boundary condition of the canopy system, for<br />

uncollided radiation is given by:<br />

γ<br />

( H, Ω,<br />

Ω0)<br />

(H, Ω,<br />

Ω<br />

0<br />

)<br />

|<br />

μ<br />

0<br />

|<br />

I<br />

s<br />

⎡<br />

⎢1<br />

− λ<br />

⎣<br />

G( Ω0)<br />

⎤<br />

⎥<br />

| μ | ⎦<br />

Where s<br />

denotes the bidirectional reflectance<br />

factor of the soil at the bottom of canopy.<br />

0<br />

K<br />

I<br />

K<br />

k<br />

∏ + 1<br />

1<br />

⎡ G( Ω ⎤ ⎡<br />

↑ =<br />

⎢ −<br />

0)<br />

⎢ −<br />

' G( Ω<br />

0 (zk,<br />

Ω,<br />

Ω<br />

)<br />

0)<br />

γs(H,<br />

Ω,<br />

Ω0)<br />

| μ0<br />

| Is<br />

1 λ<br />

1 λK<br />

π<br />

| μ0<br />

| j=<br />

K μ<br />

⎣<br />

⎥<br />

⎦<br />

⎣<br />

⎤<br />

⎥<br />

⎦<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 />

43

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