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where
ʳ L are the
carbon living times under short-time and long-time timber utilization, respectively.
Wooding wastes are multiform and therefore the following equation is used:
ʻ
is part of carbon in the timber of long time utilization,
ʳ S and
Þ X
N
C R ¼ 1 b
ð
C sT r H ðÞ
s¼1
This equation completes the Eq. ( 8.9 ) taking into account the carbon losses due
to the stumps and the top of cut down trees. Thus, net production of the forest
biome in the pixel
ʩ
is evaluated:
F B ð T Þ ¼F X ð T Þ R n
8.3.8 Modeling the Production Processes in the Coniferous
Forest
It is evident that coniferous forests play an important role in the global carbon cycle.
Therefore in this section we shall consider a parameterization of the production
process in the forest ecosystem with the pine forest stand of one age proposed and
developed by Kirilenko (1990) for practical use in climate models. The model
re
ects correlations of mean annual and seasonal processes without consideration of
the succession of vegetation communities. It describes the dynamics of carbon and
water in the ecosystem using a system of
fl
five ordinary differential equations, one
partial differential equation, and many algebraic equations re
fl
ecting the biotic and
abiotic processes in the coniferous forest.
The model includes the following values: phase derivatives, input (external) and
output (internal) derivatives, as well as parameters (constants, coef
cients).
The phase derivatives include (kg/m 2 of soil):
￿
carbon of the structural mass of young pine-needles m 1 and old ones m 2 ,
m L =m 1 +m 2 ;
carbon of the above ground parts of the grown trees (branches, boughs, trunks)
and growing roots m 3 .
￿
carbon of thin roots m 4 ;
￿
fund of mobile carbon assimilates m 5 ;
The input variables characterize the environmental conditions:
￿
the incoming solar radiation intensity E;
￿
air temperature T and humidity H;
￿
length of the light period of day
˄
;
￿
daily amount of precipitation P; and
￿
concentration of carbon dioxide in the atmosphere C o .
￿
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