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. |
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 |
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 |