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Vegetation Radiative Transfer Modelling (Nadine Gobron) - PEER

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Extinction coefficient<br />

We now consider photons at a depth z traveling in direction Ω.<br />

The extinction coefficient is then the probability, per unit path length,<br />

that the photon hits a leaf, i.e., the probability that a photon while<br />

traveling a distance ds along Ω is intercepted by a leaf divided by the<br />

distance ds.<br />

e<br />

( z, ) G( z,<br />

) ( z)<br />

σ Ω = Ω λ<br />

Where the geometry factor G is the fraction of the total leaf area (per<br />

unit volume of the canopy) that is perpendicular to Ω<br />

1<br />

G ( z,<br />

) = ( Ω ) | Ω • Ω |<br />

l l<br />

2π<br />

2π<br />

Ω ∫ g<br />

d<br />

l<br />

Ω<br />

l<br />

Ross J. (1981) ‘The Radiation Regime and Architecture of Plant Stands’, The Hague-Boston-London: Dr. W.Junk<br />

Publishers, 391 pp.<br />

32

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