Table 1. Main continuous and categorical characteristics of the sample plots (the PSP3000 data) used in modelling the bilberry and lingonberry cover in Finland (N = 2199). Sites I–VIII refer to different site quality classes (I = herb-rich sites on brown soils, eutrophic mires, II = herb-rich sites, mesotrophic mires, III = mesic sites, meso-oligotrophic mires, IV = sub-xeric sites, oligotrophic mires, V = xeric sites, poor ombro-oligotrophic bogs, VI = barren sites, ombrotrophic bogs, VII = rocky and sandy soils and alluvial land, VIII = poorly productive and unproductive land).
Variable Mean SD Range
Bilberry cover (%) 9.2 13.5 0.0–87.5
Lingonberry cover (%) 6.7 7.6 0.0–57.5
Stand age (years) 61 48 0–325
Stand basal area (m2 ha–1) 13.2 10.1 0.0–53.8
Altitude (m) 137 8 0–830
Temperature sum (dd) 1085 170 410–1360
Variable Mineral soils
(N = 1812)
Spruce mires
(N = 120)
Pine mires
(N = 267)
Site I 40 2 3
Site II 270 39 5
Site III 802 57 31
Site IV 534 13 97
Site V 78 n.a. 130
Site VI 0 n.a. 1
Site VII 35 n.a. n.a.
Site VIII, poorly productive land 28 n.a. n.a.
Site VIII, waste land 25 n.a. n.a.
n.a. = not applicable
Table 2. Parameter estimates and goodness-of-fit statistics of the multi-level quasi-Poisson models estimated for the percentage cover of bilberry in the Finnish PSP3000 data (N = 2199). Sites I–VIII refer to different site quality classes (see Table 1).
Variable Estimate Std. error
Intercept 0.7185*** 0.0869
Site I, mineral soils –1.8948*** 0.3290
Site II, mineral soils –0.9147*** 0.0863
Site III, mineral soils 0.0 a --
Site IV, mineral soils –0.5696*** 0.0614
Site V, mineral soils –1.6221*** 0.2058
Site VI, mineral soils –3.0 b --
Site VII, mineral soils –1.0172*** 0.2146
Sites I–II, spruce mires –1.5157*** 0.2843
Sites III, spruce mires –0.5228*** 0.1223
Sites IV, spruce mires –0.7371*** 0.2022
Sites I–III, pine mires –0.8469*** 0.2227
Site IV, pine mires –0.7566*** 0.1356
Site V, pine mires –1.9882*** 0.2138
Site VI–VII, pine mires –3.0 b --
Site VIII, poorly productive land 1.3769*** 0.2227
Site VIII, waste land 0.2147 0.3191
Pine on sites II–III, mineral soils & mires c 0.1309** 0.0551
Deciduous trees on sites I–II, mineral soils & mires c –0.4619* 0.1633
Stand age (years) 0.0142*** 0.0014
Stand age2/1000 (years) –0.0422*** 0.0059
Stand basal area (m2 ha–1) 0.1138*** 0.0090
Stand basal area2 (m2 ha–1) –0.0023*** 0.0002
Variance components at cluster level (N = 912) 0.3712
Snowdon’s bias correction ratio 1.12
Pearson correlation coefficient (predicted vs measured) 0.61
Proportion of explained variance R2 37.1%
Root mean square error RMSE (relative RMSE) 10.7 (116%)
a = Site III on mineral soils was the reference.
b = Not estimated due to few or no observations, and ad-hoc parameters were set.
c = Spruce as the dominant tree species was the reference.
*, **, *** = Significant at the 0.05, 0.01 and 0.001 levels, respectively.
Table 3. Parameter estimates and goodness-of-fit statistics of the multi-level quasi-Poisson models estimated for the percentage cover of lingonberry in the Finnish PSP3000 data (N = 2199). Sites I–VIII refer to different site quality classes (see Table 1).
Variable Estimate Std. error
Intercept 2.1192*** 0.0960
Site I, mineral soils –2.8116*** 0.4719
Site II, mineral soils –1.3939*** 0.1083
Site III, mineral soils –0.2216*** 0.0556
Site IV, mineral soils 0.0 a --
Site V, mineral soils –0.3011** 0.1051
Site VI, mineral soils –0.3 b --
Site VII, mineral soils –0.3 b --
Sites I–II, spruce mires –1.2713*** 0.2226
Sites III, spruce mires –0.5535*** 0.1378
Sites IV, spruce mires –0.3888* 0.1733
Sites I–III, pine mires –0.8543*** 0.1825
Site IV, pine mires –0.4815*** 0.0958
Site V, pine mires –1.2542*** 0.1181
Site VI–VII, pine mires –2.8 b --
Site VIII, poorly productive land –0.4973* 0.2392
Site VIII, waste land –1.5922*** 0.4142
Spruce on sites I–III, mineral soils & spruce mires c –0.2273*** 0.0614
Deciduous trees on sites I–III, mineral soils & spruce mires c –0.3203*** 0.0888
Altitude (m) –0.0029*** 0.0005
ln(Temperature sum/1000) (dd) –1.4225*** 0.2289
Stand age (years) 0.0050*** 0.0013
Stand age2/1000 (years) –0.0193*** 0.0053
Stand basal area (m2 ha–1) 0.0635*** 0.0078
Stand basal area2 (m2 ha–1) –0.0016*** 0.0002
Variance components at cluster level (N = 912) 0.1975
Snowdon’s bias correction ratio 1.06
Pearson correlation coefficient (predicted vs measured) 0.50
Proportion of explained variance R2 25.0%
Root mean square error RMSE (relative RMSE) 6.6 (98%)
a = Site IV on mineral soils was the reference.
b = Not estimated due to few or no observations, and ad-hoc parameters were set.
c = Pine as the dominant tree species was the reference.
*, **, *** = Significant at the 0.05, 0.01 and 0.001 levels, respectively.
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Fig. 1. Simulated cover (left) and yield (right) of bilberry (above) and lingonberry (below) in stands in different fertility classes in Sodankylä in North Finland. The full rotation periods including a final cut at the end were simulated. Site fertility: II = herb-rich sites, III = mesic sites, IV = sub-xeric sites, and V = xeric sites. Dominant tree species: s = spruce, p = pine. View larger in new window/tab.

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Fig. 2. The average cover of bilberry (left) and lingonberry (right) in different site types on mineral soils predicted based on the NFI12 data in South and North Finland and the whole country and measured in the whole country by Tonteri et al. (2005). The data for Sites VI and VII were not presented by Tonteri et al. (2005).

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Fig. 3. The total annual yield of bilberry (left) and lingonberry (right) in forest land in South and North Finland, and the whole country. Prediction based on the NFI12 data and estimated by Turtiainen et al. (2005, 2007).

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Fig. 4. Development of the average cover of bilberry (above) and lingonberry (below) in South and North Finland and the whole country, according to alternative 30-year regional forest scenarios: Maximum economic removal (MaxEco); Maximum sustainable yield (MaxSus); and Realised cutting removals (BAU).

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Fig. 5. Development of the total annual yield of bilberry (above) and lingonberry (below) in South and North Finland, and the whole country, according to the NFI12 data and alternative 30-year regional forest scenarios: Maximum economic removal (MaxEco); Maximum sustainable yield (MaxSus); and Realised cutting removals (BAU).

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Fig. 6. Development of the volume of growing stock (above) and removals (below) in South and North Finland, and the whole country, according to the NFI12 data and alternative 30-year regional forest scenarios: Maximum economic removal (MaxEco); Maximum sustainable yield (MaxSus); and Realised cutting removals (BAU).

Table 4. Estimated percent cover (%) of bilberry and lingonberry in productive forest land in Sweden (including conservation areas). The values are the averages of cover estimated between 2010 and 2019, and are weighted by area. CV = coefficient of variation.
Bilberry cover (%) Lingonberry cover (%)
NNorr SNorr Svea Göta Sweden NNorr SNorr Svea Göta Sweden
Mean 13.8 12.6 10.2 7.1 11.2 10.6 8.6 6.4 3.1 7.5
SD 0.9 1.9 1.1 1.1 0.7 1.2 1.3 0.6 0.7 0.5
CV 0.07 0.15 0.11 0.16 0.07 0.11 0.16 0.09 0.23 0.07
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Fig. 7. The average estimated cover (left) and yield (right) of bilberry (above) and lingonberry (below) in different site indices (Si) and stand age classes based on the Swedish NFI data from 2015–2019. View larger in new window/tab.

Table 5. Estimated total annual yield of bilberry and lingonberry in productive forest land in Sweden (including conservation areas). NNorr = North Norrland, SNorr = South Norrland, Svea = Svealand, Göta = Götaland. CV = coefficient of variation.
Bilberry (Mkg) Lingonberry (Mkg)
Year NNorr SNorr Svea Göta Sweden NNorr SNorr Svea Göta Sweden
2015 193 162 110 96 565 95 144 63 108 410
2016 194 179 91 58 522 253 195 138 8 595
2017 160 36 21 22 238 278 296 39 25 637
2018 95 77 41 3 216 25 65 15 3 107
2019 62 34 25 21 142 45 46 46 22 159
Mean 141 98 58 40 336 139 149 60 33 382
SD 60 69 40 37 193 118 102 47 43 243
CV 0.42 0.70 0.70 0.93 0.57 0.85 0.68 0.78 1.30 0.64
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Fig. 8. The average of estimated total annual yields between 2015 and 2019 in productive forest land in Sweden (including conservation areas). NNorr = North Norrland, SNorr = South Norrland, Svea = Svealand, Göta = Götaland.