On the Ecology of Mountainous Forests in a Changing Climate: A ...
On the Ecology of Mountainous Forests in a Changing Climate: A ...
On the Ecology of Mountainous Forests in a Changing Climate: A ...
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56 Chapter 3<br />
ature <strong>of</strong> <strong>the</strong> coldest month (January). In several models (Pastor & Post 1985, Solomon<br />
1986, Prentice et al. 1992) such correlations were used to estimate <strong>the</strong> w<strong>in</strong>ter m<strong>in</strong>imum<br />
temperature from <strong>the</strong> actual mean January temperature. However, <strong>the</strong> month with <strong>the</strong><br />
lowest long-term mean temperature is not necessarily <strong>the</strong> month with <strong>the</strong> lowest actual<br />
mean temperature. Therefore <strong>the</strong> FORCLIM model uses <strong>the</strong> m<strong>in</strong>imum <strong>of</strong> <strong>the</strong> actual mean<br />
temperature <strong>of</strong> <strong>the</strong> w<strong>in</strong>ter months December, January, and February as a proxy for <strong>the</strong><br />
w<strong>in</strong>ter m<strong>in</strong>imum temperature (Fig. 3.4).<br />
Degree-days (uDD)<br />
The concept <strong>of</strong> degree-days, i.e. a l<strong>in</strong>ear dependency <strong>of</strong> <strong>the</strong> growth rate on temperature<br />
above a threshold temperature, was used <strong>in</strong> most forest gap models developed to date<br />
(Shugart 1984). The tree species native to <strong>the</strong> European Alps have ra<strong>the</strong>r similar threshold<br />
temperatures <strong>of</strong> net photosyn<strong>the</strong>sis (Lyr et al. 1992); it is <strong>the</strong>refore justified to use a<br />
general threshold temperature, which is <strong>in</strong>dependent <strong>of</strong> <strong>the</strong> s<strong>in</strong>gle tree species. By do<strong>in</strong>g<br />
so, <strong>the</strong> annual sum <strong>of</strong> degree-days becomes an abiotic <strong>in</strong>dex <strong>of</strong> <strong>the</strong> forest environment<br />
(Fig. 3.4).<br />
Evapotranspiration (uAET) and drought stress (uDrStr)<br />
There are many models available to calculate evapotranspiration and <strong>the</strong> water balance<br />
(e.g. Penman 1948, Thornthwaite & Ma<strong>the</strong>r 1957; see review <strong>in</strong> M<strong>in</strong>tz & Seraf<strong>in</strong>i 1992).<br />
The more accurate methods require many wea<strong>the</strong>r variables with a high temporal resolution.<br />
The model by Thornthwaite & Ma<strong>the</strong>r (1957), although an entirely empirical approach,<br />
is especially useful because it is based on monthly mean temperatures (T m,y,l )<br />
and monthly precipitation sums (P m,y,l ) only, and it provides a reasonable estimate <strong>of</strong> potential<br />
and actual evapotranspiration (PET and AET, respectively). Correspond<strong>in</strong>gly, it<br />
was used <strong>in</strong> many empirical and modell<strong>in</strong>g studies (e.g. Müller 1982, Meentemeyer et al.<br />
1985, M<strong>in</strong>tz & Seraf<strong>in</strong>i 1992) as well as <strong>in</strong> most forest gap models (Shugart 1984). In<br />
FORCLIM, this approach is used as well.<br />
In <strong>the</strong> Thornthwaite & Ma<strong>the</strong>r model, actual evapotranspiration is assumed to be <strong>in</strong>dependent<br />
<strong>of</strong> <strong>the</strong> vegetation cover and is based on an average leaf area <strong>in</strong>dex. S<strong>in</strong>ce canopy<br />
open<strong>in</strong>gs caused by <strong>the</strong> death <strong>of</strong> s<strong>in</strong>gle trees are relatively small (