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Fig. 1. Locations of Scots pine and Norway spruce dominated study stands used to construct the stem quality database.

Table 1. List of external defects evaluated on sample trees, stored into stem quality database and used as quality indicators preventing cross cutting of saw log from the respective vertical stem section.
External quality indicator Definition
Surface defects Scars or checks
Decay Observed decay
Dry stem Dying tree
Dead stem Dead tree
Other form defects Any other defect preventing the use as a saw log
Multiple crooks Multiple curvature or twisting
Crooked stem Sharp curvature due to individual crook
Sweep Even curvature more than 1 cm of deviation per 1 m of length
Crown change Broken main crown and a newly grown crown from one fork
Broken crown Broken main crown
Forked stem Tree with two or more forks
Spike knot Large branch emerging from the trunk at an extremely sharp angle
Grouped branches Distance between branches in a whorl is less than 15 cm
Dead knot > 40 mm Diameter of dead knot exceeding 40 mm
Living knot > 50 mm Diameter of living knot exceeding 50 mm
Table 2. Distributions and mean characteristics of harvesting removals of virtual stands in the stem quality database by forest site type (fertility class) based on the data from sample plot measurements. Site types: Oxalis-Myrtillus (OMT), Myrtillus (MT) and combined Vaccinium (VT) and Calluna (CT) types, or corresponding peatland types (Cajander 1926). Mean characteristics with ranges (from minimum to maximum) and standard deviations (in parenthesis) are presented for virtual stands by harvesting type.
OMT MT VT & CT
Tree dominance, number of stands
  Scots pine dominated 12 22
  Norway spruce dominated 5 14 1
Harvesting type, number of stands
  Clear cut 5 18 5
  Thinning 8 17
  Seed tree cutting 1
Number of sample trees 903 6 589 5 076
  Scots pine 273 3 001 4 822
    Mean per stand 46 (3–193;74.0) 116 (19–258;64.5) 204 (15–361;86.8)
  Norway spruce 630 3 588 254
    Mean per stand 105 (53–193; 69.0) 150 (5–451;106.5) 25 (6–78;21.5)
Stems including any external defect, % 57.6 55.0 80.0
  Scots pine 89.7 73.9 81.5
    Mean per stand 75.9 (60.0–100.0; 15.2) 66.9 (26.6–93.8; 19.4) 75.6 (17.9–97.5; 22.9)
  Norway spruce 43.7 39.2 39.4
    Mean per stand 35.5 (20.8–57.0; 13.5) 32.5 (9.3–62.5; 14.8) 44.6 (11.1–100; 32.5)
Mean stand age, a 91 (71–125; 20.7) 98 (29–212; 45.2) 72 (26–139; 31.3)
  Clear cut or seed tree cutting 91 (71–125; 20.7) 113 (74–212; 42.0) 109 (89–139; 20.2)
  Thinning 60 (29–107; 26.3) 59 (26–114; 23.3)
Mean basal area, m2 ha–1 24.3 (20.2–33.6; 5.4) 16.8 (11.3–24.4; 3.4) 15.5 (9.8–23.1; 4.0)
  Clear cut or seed tree cutting 24.3 (20.2–33.6; 5.4) 17.6 (11.9–24.4; 3.5) 19.4 (16.6–23.1; 2.8)
  Thinning 15.5 (11.3–19.5; 2.7) 14.2 (9.8–21.9; 3.5)
Mean dgM, cm (basal area median tree) 28.8 (28.0–29.8; 0.7) 23.4 (13.1–29.8; 5.2) 17.7 (11.8–27.7; 5.5)
  Clear cut or seed tree cutting 28.8 (28.0–29.8; 0.7) 26.4 (23.6–27.7; 1.5) 26.1 (23.5–27.7; 1.5)
  Thinning 16.5 (13.1–21.7; 3.3) 14.7 (11.8–18.2; 2.4)
    Scots pine 31.5 (28.6–34.8; 2.9) 25.7 (13.1–33.9; 6.4) 18.0 (11.8–29.3; 6.1)
  Clear cut or seed tree cutting 31.5 (28.6–34.8; 2.9) 29.4 (24.3–33.9; 2.4) 27.4 (25.8–29.3; 1.4)
  Thinning 17.2 (13.1–22.6; 3.7) 14.7 (11.8–18.3; 2.3)
    Norway spruce 29.7 (28.1–31.7; 1.4) 22.8 (9.9–29.0; 5.7) 19.3 (12.1–34.7; 7.9)
  Clear cut or seed tree cutting 29.7 (28.1–31.7; 1.4) 26.0 (22.9–29.0; 1.6) 21.8 (16.2–27.1; 4.1)
  Thinning 14.5 (9.9–18.1; 3.4) 17.2 (12.1–34.7; 9.8)
Table 3. Predictor and design variables used to predict external quality for reference trees in the ARVO software. If the stand belonged to the specified category, the dummy variable has the value 1, otherwise 0.
Variables Pine Spruce
Min. Mean Max. Min. Mean Max.
Predictor variables
  Thinning stand (dummy) 0.000 0.661 1.000 0.000 0.026 1.000
  Seed tree cutting stand (dummy) 0.000 0.018 1.000 0.000 0.000 1.000
  OMT fertility type (dummy) 0.000 0.013 1.000 0.000 0.078 1.000
  MT fertility type (dummy) 0.000 0.382 1.000 0.000 0.443 1.000
  Peatland (dummy) 0.000 0.108 1.000 0.000 0.056 1.000
  Stand area, ha (if available) 0.3 0.7 9.2 0.3 2.5 9.2
  Diameter at breast height dbh, cm 5.9 178.3 52.5 4.2 21.5 52.5
  Square of dbh, cm 3481.0 38 699.1 275 625.0 1764.0 52 566.5 275 625.0
  Tree height, m 2.4 15.6 32.4 2.3 18.0 33.0
  Square of tree height, m 576.0 25 553.0 104 976.0 529.0 36 267.9 108 900.0
  Latitude, degrees in KKJ coordinates 60.48865 63.77689 66.64243 60.49 62.85 66.35
  Longitude, degrees in KKJ coordinates 19.43323 27.27441 30.98978 21.34 26.98 30.58
  Tree age, years 19.5 78.7 227.5 37 111 227.5
  Dominant height of stand, m 8.3 16.4 29.3 13.5 23.8 30.5
  Species proportion in stand, % 2.4 87.5 100 0.1 66.6 100
  Basal area of species, m2 ha–1 0.8 19.9 46.6 0.1 19.7 38.6
  Logarithm of basal area of species, m2 ha–1 –0.3 2.7 3.8 –2.3 2.8 3.6
  Logarithm of basal area median diameter   (dgM), cm 2.0 2.9 3.8 2.0 3.2 3.9
Design variables
  Lower limit of crown, m 0.0 8.5 22.7 0.0 5.6 20.3
  Lower limit of dead branches, m 0.0 2.8 20.8 0.0 1.5 20.0
  Length of downgraded stem section, m 0.0 4.4 28.3 0.0 9.7 26.0
  Proportion of downgraded stem section from   total tree height, % 0.0 33.8 100.0 0.0 7.5 100.0
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Fig. 2. Schematic illustration of the functions of the ARVO software.

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Fig. 3. Saw log recoveries (left) and saw log reductions (right) based on the measured vs. predicted stem quality in Scots pine plots (upper sub-graphs) and stands (lower sub-graphs) by site fertility types. Saw log recoveries are presented as percentages of the total timber volume (%) and saw log reductions are presented as percentage points from the defect free recovery of saw logs (pp).

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Fig. 4. Saw log recoveries (left) and saw log reductions (right) based on the measured vs. predicted stem quality in Norway spruce plots (upper sub-graphs) and stands (lower sub-graphs) by site fertility types. Saw log recoveries are presented as percentages of the total timber volume (%) and saw log reductions are presented as percentage points from the defect free recovery of saw logs (pp).

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Fig. 5. Stand values (€) (left) and average unit prices (€ m–3) (right) based on the measured vs. predicted stem quality in Scots pine stands (upper sub-graphs) and Norway spruce stands (lower sub-graphs) by site fertility type.

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Fig. 6. Saw log recoveries (percentage of the total timber volume, %) (left) and saw log reductions (percentage points, pp) (right) based on the measured vs. predicted information of the growing stock in Scots pine stands (upper sub-graphs) and in Norway spruce stands (lower sub-graphs) by site fertility type.

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Fig. 7. Average unit prices (€ m–3) based on the measured vs. predicted information of the growing stock in Scots pine stands (left) and in Norway spruce stands (right) by soil fertility type.