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On the Ecology of Mountainous Forests in a Changing Climate: A ...

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The forest model FORCLIM 59<br />

Light availability<br />

If available light at <strong>the</strong> forest floor (gAL 0 , calculated accord<strong>in</strong>g to Eq. 3.18) drops below<br />

a species-specific threshold (kThres s ) def<strong>in</strong>ed as a fraction <strong>of</strong> full sunlight, sapl<strong>in</strong>g<br />

establishment is prevented accord<strong>in</strong>g to Eq. 3.2 & 3.3:<br />

gLFlag s =<br />

0 gAL 0 < kThres s<br />

1 else<br />

(3.2)<br />

where <strong>the</strong> species-specific threshold kThres s is calculated accord<strong>in</strong>g to Ellenberg (1986,<br />

Fig. 3.5 left) based on <strong>the</strong> parameter kL y,s , which denotes <strong>the</strong> light requirements <strong>of</strong><br />

sapl<strong>in</strong>gs (“young trees”) on a nom<strong>in</strong>al scale <strong>in</strong> <strong>the</strong> range [1..9]:<br />

kThres s =<br />

0.025·(kL y,s –1) kL y,s < 5<br />

0.1·kL y,s - 0.4 else<br />

(3.3)<br />

Brows<strong>in</strong>g pressure<br />

The constant brows<strong>in</strong>g <strong>in</strong>tensity simulated <strong>in</strong> <strong>the</strong> FORECE model (Kienast 1987) was<br />

modified <strong>in</strong> a simple way which allows to explore <strong>the</strong> possible effects <strong>of</strong> vary<strong>in</strong>g brows<strong>in</strong>g<br />

<strong>in</strong>tensities on sapl<strong>in</strong>g establishment rates (Fig. 3.5 right):<br />

0.50<br />

1.0<br />

kThres s<br />

0.25<br />

s<br />

gBrP<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

kBrow s = 3<br />

0.00<br />

1<br />

3<br />

5<br />

kLys<br />

7<br />

9<br />

0.0<br />

-0.2<br />

0<br />

kBrow s = 1<br />

5<br />

10<br />

kBrPr<br />

Fig. 3.5: Factors <strong>in</strong>fluenc<strong>in</strong>g sapl<strong>in</strong>g establishment. Left: The threshold parameter kThres s<br />

(% <strong>of</strong> full sunlight) is a function <strong>of</strong> <strong>the</strong> species parameter kL y,s (Eq. 3.3). Right: The<br />

probability that establishment is prevented (gBrP s ) depends on brows<strong>in</strong>g pressure (kBrPr)<br />

and <strong>the</strong> susceptibility to brows<strong>in</strong>g <strong>of</strong> <strong>the</strong> tree species (kBrow s ).

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