How are forest revenues calculated in the growth simulator SIBYLA ?

Timber sorting

The calculation of forest revenues is based on sorting of tree species from individual layers and stand components into seven quality classes and six diameter classes. 

Quality classes

  • Class I - suitable for sliced veneer, musical instruments, special sport and technical equipment. The logs of the highest quality, straight, untwisted, full boled, centrical, with no shape deformations and no knots, with the minimum top diameter 35-40 cm inside bark. On the cross-section, the timber is healthy, without any decay, with minimum false-heart. 

  • Class II - suitable for rotary veneer, matches, sport equipment, and stave bolts. The inner and outer quality is slightly lower than in Class I. Minimum top diameter is equal to 20 cm inside bark.

  • Classes IIIA and IIIB - suitable for saw logs and poles, special mining timber, building timber, and bedlogs. Saw logs are divided into two classes of higher quality IIIA and poorer quality IIIB. The quality class IIIA can have average knots, the timber on the cross-section is healthy, without any decay. The quality class IIIB can have larger knots including decayed knots, limited rot and false-heart on the cross-section. Minimum top diameter is 15 cm for broadleaved, and 16 cm for coniferous tree species.     

  • Class IV - suitable for pole timber assortments, mining timber, and timber for mechanical pulp. Pole timber is in fact the whole stem of average or poorer quality. Mining timber has its specific requirements on dimensions and is of higher quality. This assortment is scarcer, and therefore, it is not modelled by the simulator SIBYLA!!! 

  • Class V - suitable for pulpwood, chemical and mechanical processing, production of pulp and agglomerated boards. Timber quality is average or below-average with a number of inner defects, including timber rot. There are no dimensional limits. 

  • Class VI - suitable as fuelwood. It is such an assortment which is due to its quality and dimensions not suitable for class V.

  • Residue - waste from sorting not classified into any of the classes, usually left over in the forest or in the timber yard.

Diameter classes

Roundwood (I-III) is classified into diameter classes, which are distinguished on the base of the mid-diameter of the log outside bark:

  • Class 1 = 16-19 cm

  • Class 2 = 20-29 cm

  • Class 3 = 30-39 cm

  • Class 4 = 40-49 cm

  • Class 5 = 50-59 cm

  • Class 6 = 60 and more cm

Tree sorting

Tree sorting is based on tree assortment tables (Petráš and Nociar 1990, 1991). Model inputs are: tree diameter in cm (d1.3), degree of tree quality (kv), tree damage (posk), forest ecoregion (OL), and tree age (t). Model output is volume in m3 (vij) of ith quality class in jth diameter class. The extent of inputs depends on tree species: 

  • spruce, fir: vij = f(d1.3, kv, posk)

  • pine, oak: vij = f(d1.3, kv)

  • beech: vij = f(d1.3, kv, posk, OL, t) ... nonflysch region of Slovakia is used as a default value for OL 

while:

  • Degree of quality A is assigned to the tree, when from the bottom part of its stem the best produced assortment can be a log of quality class I or II,

  • Degree of quality B is assigned to the tree, when from the bottom part of its stem the best produced assortment can be a log of quality class IIIA,

  • Degree of quality C is assigned to the tree, when from the bottom part of its stem the best produced assortment can be a log of quality class IIIB or V, 

  • Degree of quality D is assigned to the tree, when from the bottom part of its stem the best produced assortment can only be fuelwood of quality class VI (this degree is assigned only exceptionally, and only for broadlleaved tree species) 

and the tree is considered as damaged when it is visibly rotted, mechanically damaged, has frost cracks, has been browsed or peeled by deer. 

In the case of dead trees, tree quality is reduced by reduction factors according to the methodology of Petráš, Mecko and Nociar (1995). Dead trees are divided into fresh (those that are dead 1 year at the maximum), older (dead for two or three years), and old (dead for more than three years). Reduction coefficient (red) can obtain values in the range <0;1> depending on the type of the dead tree and its diameter. The original volume of the assortment is modified with the reduction factor as follows: 

vijsuchár = vij . red(d1.3, typ suchára)

Gross earnings 

Gross earnings are equal to the sum of all earnings from individual assortments given in Slovak crowns (EUR), which are calculated by multiplying the assortment volume by its price in EUR (cij):

Net gain

Net gain also called profit is obtained as the difference between gross earnings and total direct costs:

zisk = F+ - F-

Total value production 

Total value production is obtained as the sum of gross earnings from the main crop at the age t and the sum of all gross earnings from the secondary crops by the age t (inclusive):

Total economic production

Total economic production is calculated by summing up the net gain from the main crop at the age t, and the sum of all net gains from the secondary crops that are adjusted for the percentage of overhead costs, and total earnings (F+0), and by subtracting the costs including overhead costs (F-0) in EUR.ha-1 realised by the age of growth simulation starting:

 

Current value increment 

 Current value increment is obtained as the difference of gross earnings from the main crop between two sequential periods divided by the length of the period (delta t = by default 5 years) as follows:

Current economic increment

Current economic increment is calculated as the difference of the net gain from the main crop between two sequential periods divided by the length of the period (delta t = by default 5 years) as follows:

Total current value increment 

Total current value increment is obtained as the difference of the total value production between two sequential periods divided by the length of the period (delta t = by default 5 years) as follows:

Total current economic increment

Total current economic increment is obtained as the difference of the total economic production from the main crop between two sequential periods divided by the length of the period (delta t = by default 5 years) as follows:

Total mean value increment 

Total mean value increment is calculated by dividing the total value production of the stand by its age:

Total mean economic increment 

Total mean economic increment is calculated by dividing the total economic production of the stand by its age:

 The prices of individual timber assortments (quality and diameter classes) are given in the code list code_PRICES, and the majority of final earnings can be found in the table Returns in the database of the growth simulator SIBYLA. 


© Copyright doc. Ing. Marek Fabrika, PhD.

© Translated by Dr. Ing. Katarína Merganičová - FORIM