Forest Carbon number and Forest Carbon flux, per forest hectare, at national level, in Finland since 1921

Forest carbon number for a special year tells how many tons of elementary Carbon there is per forest hectare. The Carbon is stored in the trees, including the solid stems, the branches, the foliage and the roots. Forest carbon number can be calculated at various categories level like at farm forest level, at regional forests level, at national forests level and at global forests level.

 Forest carbon number (fc) is calculated by dividing the total carbon stock (c, tn C) at certain time point (t, years) by the forest land area (fl, hectares) over the selected category.

(1)      fc(t) = c(t) / fl(t)

At Finnish national level the Carbon stock (c) equation is

(2)     c(t) = 0.06460 * t^2 - 250.40 * t + 243136

Consequently, the forest land (fl) equation is

(3)     fl(t) = -0.006073 * t + 38.46

 The development of forest carbon number (fc, equation 1) for Finnish forests is shown in Figure 1.
Figure 1. Development of Forest carbon number (fc) in Finland since 1921.
The average Forest carbon number for Finland was at its lowest in late 1930s. It was at level 19,4 tons elementary Carbon per forest hectare. After that the Forest carbon number has been increasing, at a bit accelerated manner. In 2020 the calculated Forest carbon number is 36,3 tn C/ha.

 Forest carbon flux (cf) is the derivative for the Carbon stock equation
(4)     cf = dfc / dt = (fc'(t) * fl(t) - fc(t) * fl'(t)) / (fl(t))^2
fc' is the derivative for forest carbon number (fc)

 fl' is the derivative for forest land area (fl)
The Forest carbon flux in Finland after 1921 (equation 4) is shown in Figure 2.
Figure 2. Forest Carbon flux (cf) in Finnish forests since 1921. Negative value indicates Carbon emissions flux, positive value indicates sink flux.


The Forest carbon flux from average Finnish forest hectare was negative in the early 1900s. In other words, the Finnish forests were decimating. They caused Carbon source flux, or Carbon emissions flux, into the atmosphere. In 1921 the calculated emissions flux was 78 kilograms elementary Carbon per hectare per annum (that is -78 kg C/ha/a).

 From the beginning of 1940s the Carbon emissions flux has turned into positive Carbon sink flux. For the year 2020 the calculated value for the Carbon sink flux is 413 kg C/ha/a. The value is a little bit higher than the earlier, a bit rougher calculation for Finnish Carbon sink flux (403 kg C/ha/ha). The later Carbon flux calculation notifies the continuous, slight reduction in the forest area.

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