Forest Carbon number and Forest Carbon flux at regional level (North Ostrobothnia) in Finland

Forest Carbon number and Forest Carbon flux can be calculated at regional level similarly as at National level. In Finland the current (2020) available regional data of National Forest Inventories (NFI), however, is restricted only to two latest NFIs, for the periods 2009-2013, (central year 2011) and 2014-2018 (central year 2016). The regional data restriction is merely due to 1994 administrative decision to redefine the borders of Finnish regions in a new manner. After the reform the amount of Finnish regions is 19.

Let us take as example for calculations the region Pohjois-Pohjanmaa - North Ostrobothnia. By geography it is in central Finland.

The amount of solid cubic meters  in North Ostrobothnia forests was 240 million cubic meters in 2011 and 263 million cubic meters in 2016. Correspondingly, the area of forest hectares was 3.244 million hectares and 3.235 million hectares in 2011 and 2016, respectively (NFI 11 and NFI 12 inventories).

With average Carbon Multiplier CM = 0.35314 tn C/m3 the total Carbon stock (stems, branches, foliage, roots) in North Ostrobothnia was 84.8 million tons in 2011 and 92.9 million tons in 2016.

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

(1)     fc(t) = c(t) / fl(t)

Carbon stock (c) equation for North Ostrobothnia is

(2)     c(t) = 1.62444 * t - 3182.0

Forest land (fl) equation for North Ostrobothnia is

(3)     fl(t) = -0.0018 * t + 6.8638


The recent development of Forest Carbon (fc) in North Ostrobothnia region is shown in Figure 1.

Figure 1. Forest Carbon in North Ostrobothnia


The calculated forest Carbon number in North Ostrobothnia for year 2020 is 30.8 tons elementary Carbon per forest hectare. The number is a little below the national average, 36.3 tn C/ha.

The Forest carbon flux (cf, kg C/ha/a) is the derivative for the Carbon stock equation (1):


(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 development of recent Forest carbon flux (cf) in North Ostrobothnia region is shown in Figure 2.

Figure 2. Forest Carbon flux in North Ostrobothnia


The calculated forest Carbon flux into North Ostrobothnia forests for the year 2020 is 520 kilograms elementary Carbon per forest hectare. The flux is a typical Carbon sink flux, from the atmosphere to the forests.

The regional North Ostrobothnia Carbon sink flux (520 kg C/ha/a) is quite clearly above the national average in Finland (413 kg C/ha/a). It tells about successful silviculture and carbon husbandry in this region.

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