Ecoinformatics and Soil-Plant Formations - New Ecoinformatics Tools in Environmental Science: Applications and Decision-making - page 675

Fig. 8.13 The scheme of the
carbon cycle in the tundra-
taiga system (Bogatyrev
1988)

The system of balance equations of the model of the transfer processes on the
border taiga-tundra according to the scheme in Fig. 8.13 is

dX i = dt ¼ R 0i R i4 ð i ¼ 1 ; 2 ; 3 Þ;

dt ¼ X

3

R i4 R 40 R 45 R 4 ;

dX 4 =

i¼1

dX 5 = dt ¼ R 45 R 50 R 5 ;

where the R ij functions depend on many parameters, and their determination is the
principal stage of the model formulation. Bogatyrev (1988) proposed the following
formulas for these functions:

R 0i ¼ F i u i ð T M Þ G i ð X 3 Þ f i ð X 5 Þ H i ð W Þ; R i4 ¼ k i X i ð i ¼ 1 ; 2 Þ;
R 03 ¼ F 3 u 3 ð T M Þ G 3 ð X 3 Þ f 3 ð X 5 Þ H 3 ð W Þvð X 3 Þ; R 4 ¼ m 4 X 4 ; R 5 ¼ m 5 X 5 ; R 34 ¼ k 3 X 3 1 þ j T M T A 1

½ ð Þ ;

R 40 ¼ r k 4 X 4 u 4 T ð ; R 50 ¼ k 5 X 5 u 5 T ð ; R 45 ¼ ð 1 rÞ k 4 X 4 u 4 T ð ;

where F i coefficients express the dependence of the biomass increment on its type
(the characteristic indicators of vegetation), ˆ i functions assign the laws of changes

in the biomass increment as a function of atmospheric temperature beneath the
canopy T M , and the G i , f i and H i functions describe deviations of the annual biomass
increment from a maximum level at a given temperature T M due to a de

cit of
illumination, an amount of mineral resource in the soil, and moisture, respectively.
For trees, the annual production also depends on their biomass, and this dependence
is represented with the function. For vegetation of the grass-bush level and the

moss, their annual increment is supposed to be independent of their biomass.

ˇ