
Figure 1.
Ash natural regeneration within pine-ash forest (A), soil profile of Arenic Cambisol (B)

Figure 2.
Scheme of study plots establishment. Circles indicate study plots (25 m2) established in pine-ash forest (first two plots) and pine forest without ash in overstory but with ash regeneration. The last two plots in pine forest were located up to a maximum distance of 60 m from mature ash trees (seed source) growing in pine-ash forest. Mature ash trees are marked in grey colour

Figure 3.
Result of Principal Components Analysis for soil chemistry variables
Table 1.
Models of ash saplings density (per 25 m2), estimated using Poisson generalized linear mixed-effects models
| Independent variable | Predictor | Estimate | SE | z value | Pr(>|z|) |
|---|---|---|---|---|---|
| Saplings <0.6 m height density per 25 m2 | (intercept) | −4.257 | 0.816 | −5.216 | <0.001 |
| AICc = 205.6, AICc0 = 480.9 | proportion of drought-damaged saplings | 1.269 | 0.587 | 2.161 | 0.031 |
| RE SD < 0.0001 | proportion of browsed saplings | 1.443 | 0.531 | 2.720 | 0.007 |
| soil pH | 1.293 | 0.155 | 8.346 | <2e-16 | |
| tree layer cover | 0.014 | 0.008 | 1.881 | 0.060 | |
| moss layer cover | −0.072 | 0.024 | −2.966 | 0.003 | |
| pine proportion | −0.018 | 0.010 | −1.730 | 0.084 | |
| Saplings 0.6–1.3 m height density per 25 m2 | (intercept) | −1.158 | 0.986 | −1.174 | <0.001 |
| AICc = 91.2, AICc0 = 119.7 | shrub layer cover | 0.091 | 0.031 | 2.927 | 0.003 |
| RE SD = 0.8554 | oine proportion | −0.018 | 0.010 | −1.730 | 0.084 |

Figure 4.
Ash saplings density estimated using Poisson generalized linear mixed-effects models (Tab. 1). Dots represent measured values, line – prediction, grey area – 95% confidence interval for prediction

Figure 5.
The proportion of disease-damaged (two first rows) and drought-damaged (third row) saplings estimated using GLMM assuming zero-inflated beta distribution of dependent variable (Tab. 2). Dots represent measured values, line – prediction, grey area – 95% confidence interval for prediction
Table 2.
Models of the proportion of damaged saplings estimated using zero-inflated Beta generalized linear mixed-effects models
| Independent variable | Predictor | Estimate | SE | z value | Pr(>|z|) |
|---|---|---|---|---|---|
| Proportion of disease-damaged saplings <0.6 m height (count) | (intercept) | −7.571 | 1.456 | −5.201 | <0.001 |
| AICc = −37.8, AICc0 = 10.5 | tree layer cover | 0.024 | 0.012 | 1.996 | 0.046 |
| RE SD = 0.0001 | soil pH | 0.790 | 0.235 | 3.363 | 0.001 |
| (zero-inflated) | (intercept) | 62.167 | 25.851 | 2.405 | 0.016 |
| RE SD = 0.011 | soil pH | −14.673 | 6.115 | −2.400 | 0.016 |
| Proportion of disease-damaged saplings 0.6–1.3 m height (count) | (intercept) | 2.010 | 0.613 | 3.000 | 0.001 |
| AICc = −42.4, AICc0 = 47.3 | soil pH | 0.825 | 0.000 | 157,341.000 | <0.001 |
| RE SD = 1.668 | summer soil moisture | −0.660 | 0.000 | −129,175.000 | <0.001 |
| herb layer cover | 0.021 | 0.000 | 88,930.000 | <0.001 | |
| moss layer cover | −1.123 | 0.000 | −546,917.000 | <0.001 | |
| (zero-inflated) RE SD = 1.016 | (intercept) | 1.157 | 0.594 | 1.948 | 0.051 |
| Proportion of drought-damaged saplings <0.6 m height (count) | (intercept) | −1.256 | 0.675 | −1.860 | 0.063 |
| AICc = −32.0, AICc0 = −11.4 | summer soil moisture | −0.205 | 0.091 | −2.264 | 0.024 |
| RE SD = 0.1037 | pine proportion | 0.011 | 0.004 | 3.061 | 0.002 |
| (zero-inflated) | (intercept) | 8.044 | 4.603 | 1.748 | 0.081 |
| RE SD = 1.414 | soil pH | −2.227 | 1.146 | −1.942 | 0.052 |
Table 3.
Models of the proportion of browsed saplings estimated using zero-inflated Beta generalized linear mixed-effects models
| Independent variable | Predictor | Estimate | SE | z value | Pr(>|z|) |
|---|---|---|---|---|---|
| Proportion of browsed saplings <0.6 m height (count) | (intercept) | −4.526 | 1.490 | −3.038 | 0.002 |
| AICc = −46.3, AICc0 = 6.9 | shrub layer cover | 0.016 | 0.013 | 1.286 | 0.198 |
| RE SD = 0.2340 | soil pH | 0.742 | 0.337 | 2.200 | 0.028 |
| pine proportion | −0.005 | 0.004 | −1.208 | 0.227 | |
| (zero-inflated) | (intercept) | 825.000 | 454.600 | 1.815 | 0.070 |
| RE SD = 150.6 | pH | −208.500 | 114.900 | −1.814 | 0.070 |
| Proportion of browsed saplings 0.6–1.3 m height (count) | (intercept) | −1.680 | 1.097 | −1.531 | 0.126 |
| AICc = −5.7; AICc0 = 25.0 | moss layer cover | −1.526 | 0.426 | −3.584 | <0.001 |
| RE SD < 0.0001 | summer soil moisture | 0.823 | 0.211 | 3.892 | <0.001 |
| (zero-inflated) | (intercept) | 337.120 | 292.560 | 1.152 | 0.249 |
| RE SD = 30.35 | pH | −76.870 | 67.800 | −1.134 | 0.257 |

Figure 6.
The proportion of browsed saplings, estimated using generalized linear mixed-effects models assuming zero-inflated Beta distribution of dependent variable (Tab. 3). Dots represent measured values, line – prediction, grey area – 95% confidence interval for prediction
Table S1.
Study plots characteristics
| No. | Plot | Mature pine trees (%) | Mature ash trees (%) | Other trees in overstory (%) | Soil Reference Group | Soil texture | Summer groundwater (cm) | Summer soil moisture (%) | SOM (%) | Soil pH |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
| 1. | 1 | 40 | 20 | 40Qr | Ochric Dystric Cambisol | LS | 165 | 6.7 | 2.70 | 4.49 |
| 2 | 50 | 5 | 40Qr 5A | Ochric Dystric Cambisol | LS | >200 | 5.7 | 2.25 | 4.21 | |
| 3 | 80 | 0 | 20Qr | Ochric Brunic Arenosol | S | >200 | 4.2 | 1.69 | 3.70 | |
| 4 | 80 | 0 | 20Qr | Ochric Brunic Arenosol | S | >200 | 4.1 | 1.60 | 3.62 | |
| 2. | 5 | 20 | 20 | 50Qr 10B | Arenic Fluvic Cambisol | S | >200 | 6.1 | 2.68 | 4.50 |
| 6 | 50 | 5 | 30Qr 15B | Arenic Dystric Cambisol | S | >200 | 6.0 | 2.60 | 4.14 | |
| 7 | 50 | 0 | 30Qr 20B | Ochric Brunic Arenosol | S | >200 | 5.1 | 2.23 | 4.22 | |
| 8 | 90 | 0 | 10B | Ochric Brunic Arenosol | S | >200 | 3.6 | 1.41 | 3.38 | |
| 3. | 9 | 10 | 20 | 40A 30Qr | Colluvic Calcaric Cambisol | LS | 190 | 7.7 | 3.12 | 4.46 |
| 10 | 60 | 10 | 30Qr | Colluvic Dystric Cambisol | S | >200 | 7.1 | 2.16 | 4.09 | |
| 11 | 80 | 0 | 20Qr | Ochric Brunic Arenosol | S | >200 | 4.7 | 1.42 | 3.67 | |
| 12 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 4.4 | 1.25 | 3.46 | |
| 4. | 13 | 50 | 40 | 10Qr | Arenic Calcaric Cambisol | S | >200 | 5.4 | 3.45 | 5.19 |
| 14 | 50 | 20 | 30Qr | Arenic Calcaric Cambisol | S | >200 | 5.4 | 3.19 | 4.58 | |
| 15 | 60 | 0 | 30Qr 10T | Ochric Brunic Arenosol | S | >200 | 4.9 | 2.27 | 4.31 | |
| 16 | 60 | 0 | 30Qr 10T | Ochric Brunic Arenosol | S | >200 | 4.8 | 2.34 | 4.26 | |
| 5. | 17 | 20 | 20 | 50Qr 10B | Arenic Calcaric Cambisol | S | >200 | 8.7 | 2.33 | 4.79 |
| 18 | 60 | 5 | 30Qr 5B | Ochric Brunic Arenosol | S | >200 | 5.6 | 2.25 | 4.12 | |
| 19 | 70 | 0 | 20Qr 10T | Ochric Brunic Arenosol | S | >200 | 5.5 | 2.03 | 4.02 | |
| 20 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 4.8 | 1.88 | 3.68 | |
| 6. | 21 | 30 | 20 | 40Qr 10A | Ochric Brunic Arenosol | S | >200 | 8.3 | 3.08 | 4.60 |
| 22 | 60 | 10 | 30Qr | Ochric Brunic Arenosol | S | >200 | 8.3 | 2.98 | 4.45 | |
| 23 | 70 | 0 | 30Qr | Ochric Brunic Arenosol | S | >200 | 5.5 | 1.90 | 4.00 | |
| 24 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 5.2 | 1.54 | 3.81 | |
| 7. | 25 | 10 | 10 | 30A 30L 20T | Colluvic Dystric Cambisol | S | >200 | 8.0 | 2.32 | 4.51 |
| 26 | 60 | 5 | 20L 10A 5Qr | Colluvic Dystric Cambisol | S | >200 | 5.5 | 1.90 | 4.29 | |
| 27 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 5.0 | 1.84 | 3.80 | |
| 28 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 4.9 | 1.20 | 3.40 | |
| 8. | 29 | 20 | 10 | 40A 30C | Colluvic Dystric Cambisol | S | >200 | 5.7 | 2.66 | 4.68 |
| 30 | 60 | 5 | 20Qr 15A | Colluvic Dystric Cambisol | S | >200 | 5.6 | 2.18 | 4.21 | |
| 31 | 80 | 0 | 10Qr 10B | Ochric Brunic Arenosol | S | >200 | 4.0 | 2.17 | 3.90 | |
| 32 | 80 | 0 | 10Qr 10B | Ochric Brunic Arenosol | S | >200 | 4.4 | 2.01 | 3.86 | |
| 9. | 33 | 10 | 30 | 40Qr 20A | Arenic Dystric Cambisol | S | 169 | 8.3 | 3.18 | 5.03 |
| 34 | 60 | 5 | 20Qr 15A | Ochric Brunic Arenosol | S | 185 | 7.2 | 2.29 | 4.24 | |
| 35 | 80 | 0 | 20Qr | Ochric Brunic Arenosol | S | 185 | 7.1 | 1.70 | 4.11 | |
| 36 | 90 | 0 | 10Qr | Ochric Brunic Arenosol | S | >200 | 6.9 | 1.70 | 3.60 | |
| 10. | 37 | 10 | 10 | 50B 30Qp | Ochric Brunic Arenosol | S | >200 | 6.3 | 2.33 | 4.28 |
| 38 | 60 | 5 | 20Qp 15B | Ochric Brunic Arenosol | S | >200 | 5.1 | 1.90 | 4.04 | |
| 39 | 90 | 0 | 10Qp | Ochric Brunic Arenosol | S | >200 | 4.9 | 1,77 | 3.59 | |
| 40 | 90 | 0 | 10Qp | Ochric Brunic Arenosol | S | >200 | 5.0 | 1,72 | 3.40 |
[i] The reference soil groups and their principal and supplementary qualifiers follow the IUSS Working Group WRB (2022). Abbreviations: tree species – A (Acer platanoides L.); B (Betula pendula Roth); C (Carpinus betulus L.); F (Fraxinus excelsior L.); L (Larix decidua Mill.); P (Pinus sylvestris L.); T (Tilia cordata Mill.); Q (Quercus robur L.); Qp (Quercus petraea (Matt.) Liebl.); soil texture – S (sand), LS (loamy sand); SOM – soil organic matter.
Table S2.
Ash regeneration characteristics (ind./25m2 study plot)
| No. | Plot | Density of ash <0.6 m | Density of ash 0.6–1.3 m | Hf damaged ind. <0.6 m | HF damaged ind. 0.6–1.3 m | Drought-damaged ind. <0.6 m | Drought-damaged ind.0.6–1.3 m | Browsed ind. <0.6 m | Browsed ind. 0.6–1.3 m |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 1. | 1 | 24 | 2 | 1 | 2 | 0 | 0 | 6 | 2 |
| 2 | 15 | 1 | 0 | 1 | 1 | 0 | 3 | 1 | |
| 3 | 6 | 1 | 0 | 0 | 2 | 0 | 1 | 0 | |
| 4 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 2. | 5 | 17 | 0 | 2 | 0 | 1 | 0 | 4 | 0 |
| 6 | 11 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | |
| 7 | 11 | 0 | 1 | 0 | 2 | 0 | 2 | 0 | |
| 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 3. | 9 | 22 | 3 | 3 | 1 | 0 | 0 | 5 | 2 |
| 10 | 9 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | |
| 11 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 4. | 13 | 56 | 10 | 8 | 4 | 9 | 0 | 20 | 8 |
| 14 | 36 | 6 | 4 | 3 | 6 | 0 | 10 | 6 | |
| 15 | 17 | 4 | 1 | 2 | 4 | 0 | 4 | 3 | |
| 16 | 13 | 4 | 0 | 1 | 3 | 0 | 3 | 3 | |
| 5. | 17 | 28 | 5 | 3 | 3 | 3 | 0 | 13 | 5 |
| 18 | 15 | 1 | 1 | 0 | 3 | 0 | 4 | 0 | |
| 19 | 11 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | |
| 20 | 4 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
| 6. | 21 | 36 | 3 | 5 | 1 | 3 | 0 | 16 | 3 |
| 22 | 29 | 0 | 2 | 0 | 3 | 0 | 12 | 0 | |
| 23 | 13 | 1 | 0 | 0 | 2 | 0 | 3 | 0 | |
| 24 | 7 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | |
| 7. | 25 | 17 | 0 | 2 | 0 | 1 | 0 | 5 | 0 |
| 26 | 13 | 0 | 1 | 0 | 1 | 0 | 2 | 0 | |
| 27 | 5 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
| 28 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 8. | 29 | 29 | 1 | 2 | 1 | 2 | 0 | 11 | 1 |
| 30 | 14 | 0 | 1 | 0 | 2 | 0 | 2 | 0 | |
| 31 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 32 | 5 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
| 9. | 33 | 35 | 3 | 5 | 2 | 0 | 0 | 9 | 3 |
| 34 | 12 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | |
| 35 | 9 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | |
| 36 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 10. | 37 | 14 | 0 | 0 | 0 | 1 | 0 | 2 | 0 |
| 38 | 8 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | |
| 39 | 4 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
| 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Table S3.
Correlation matrix of studied variables, values of |r|>0.7 bolded
| Variable | Ash proportion | Pine proportion | SOM | soil pH | litter pH | soil N | SOC | C:N ratio | soil Ca | soil K | soil Na | spring moisture | summer moisture | canopy cover | shrub cover | herb cover | moss cover | <0.6 m saplings density | 0.6–1.3 m saplings density | <0.6 m saplings browsed proportion | 0.6–1.3 m saplings browsed proportion | <0.6 m saplings damaged proportion | 0.6–1.3 m saplings damaged proportion | <0.6 m saplings drought damaged proportion |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ash proportion | 1.00 | −0.72 | 0.84 | 0.84 | 0.86 | 0.71 | 0.41 | −0.60 | 0.79 | 0.56 | −0.41 | 0.30 | 0.56 | 0.17 | 0.65 | 0.72 | −0.28 | 0.89 | 0.71 | 0.68 | 0.64 | 0.82 | 0.52 | −0.18 |
| Pine proportion | −0.72 | 1.00 | −0.75 | −0.83 | −0.88 | −0.58 | −0.19 | 0.71 | −0.70 | −0.39 | 0.64 | −0.30 | −0.67 | −0.13 | −0.55 | −0.84 | 0.45 | −0.68 | −0.37 | −0.74 | −0.56 | −0.74 | −0.52 | 0.19 |
| SOM | 0.84 | −0.75 | 1.00 | 0.89 | 0.79 | 0.85 | 0.49 | −0.76 | 0.88 | 0.63 | −0.64 | 0.37 | 0.57 | 0.17 | 0.68 | 0.78 | −0.39 | 0.90 | 0.64 | 0.77 | 0.65 | 0.77 | 0.53 | 0.02 |
| soil pH | 0.84 | −0.83 | 0.89 | 1.00 | 0.89 | 0.77 | 0.32 | −0.82 | 0.95 | 0.70 | −0.68 | 0.36 | 0.63 | 0.15 | 0.70 | 0.83 | −0.53 | 0.92 | 0.65 | 0.86 | 0.68 | 0.80 | 0.59 | 0.02 |
| litter pH | 0.86 | −0.88 | 0.79 | 0.89 | 1.00 | 0.67 | 0.35 | −0.69 | 0.78 | 0.52 | −0.54 | 0.41 | 0.66 | 0.20 | 0.63 | 0.77 | −0.46 | 0.82 | 0.51 | 0.79 | 0.65 | 0.84 | 0.60 | −0.20 |
| soil N | 0.71 | −0.58 | 0.85 | 0.77 | 0.67 | 1.00 | 0.74 | −0.77 | 0.84 | 0.63 | −0.44 | 0.38 | 0.44 | 0.12 | 0.62 | 0.66 | −0.45 | 0.87 | 0.64 | 0.80 | 0.63 | 0.66 | 0.51 | 0.06 |
| SOC | 0.41 | −0.19 | 0.49 | 0.32 | 0.35 | 0.74 | 1.00 | −0.19 | 0.40 | 0.32 | −0.07 | 0.28 | 0.21 | 0.16 | 0.38 | 0.23 | −0.22 | 0.51 | 0.34 | 0.41 | 0.35 | 0.36 | 0.28 | −0.06 |
| C:N ratio | −0.60 | 0.71 | −0.76 | −0.82 | −0.69 | −0.77 | −0.19 | 1.00 | −0.87 | −0.62 | 0.64 | −0.41 | −0.52 | 0.01 | −0.55 | −0.77 | 0.60 | −0.75 | −0.51 | −0.82 | −0.54 | −0.60 | −0.47 | −0.13 |
| soil Ca | 0.79 | −0.70 | 0.88 | 0.95 | 0.78 | 0.84 | 0.40 | −0.87 | 1.00 | 0.74 | −0.63 | 0.41 | 0.57 | 0.12 | 0.66 | 0.77 | −0.53 | 0.94 | 0.70 | 0.87 | 0.66 | 0.73 | 0.55 | 0.16 |
| soil K | 0.56 | −0.39 | 0.63 | 0.70 | 0.52 | 0.63 | 0.32 | −0.62 | 0.74 | 1.00 | −0.50 | 0.34 | 0.27 | 0.12 | 0.39 | 0.43 | −0.34 | 0.72 | 0.65 | 0.58 | 0.57 | 0.48 | 0.55 | 0.24 |
| soil Na | −0.41 | 0.64 | −0.64 | −0.68 | −0.54 | −0.44 | −0.07 | 0.64 | −0.63 | −0.50 | 1.00 | −0.19 | −0.37 | 0.14 | −0.48 | −0.64 | 0.48 | −0.48 | −0.17 | −0.56 | −0.28 | −0.42 | −0.31 | −0.11 |
| spring moisture | 0.30 | −0.30 | 0.37 | 0.36 | 0.41 | 0.38 | 0.28 | −0.41 | 0.41 | 0.34 | −0.19 | 1.00 | 0.52 | 0.29 | 0.10 | 0.28 | −0.24 | 0.36 | 0.15 | 0.39 | 0.39 | 0.26 | 0.43 | −0.06 |
| summer moisture | 0.56 | −0.67 | 0.57 | 0.63 | 0.66 | 0.44 | 0.21 | −0.52 | 0.57 | 0.27 | −0.37 | 0.52 | 1.00 | 0.44 | 0.34 | 0.63 | −0.23 | 0.54 | 0.20 | 0.65 | 0.36 | 0.55 | 0.29 | −0.29 |
| canopy cover | 0.17 | −0.13 | 0.17 | 0.15 | 0.20 | 0.12 | 0.16 | 0.01 | 0.12 | 0.12 | 0.14 | 0.29 | 0.44 | 1.00 | −0.14 | −0.05 | 0.31 | 0.20 | 0.15 | 0.18 | 0.19 | 0.30 | 0.10 | −0.04 |
| shrub cover | 0.65 | −0.55 | 0.68 | 0.70 | 0.63 | 0.62 | 0.38 | −0.55 | 0.66 | 0.39 | −0.48 | 0.10 | 0.34 | −0.14 | 1.00 | 0.61 | −0.51 | 0.68 | 0.57 | 0.67 | 0.55 | 0.61 | 0.42 | −0.01 |
| herb cover | 0.72 | −0.84 | 0.78 | 0.83 | 0.77 | 0.66 | 0.23 | −0.77 | 0.77 | 0.43 | −0.64 | 0.28 | 0.63 | −0.05 | 0.61 | 1.00 | −0.49 | 0.72 | 0.38 | 0.77 | 0.46 | 0.69 | 0.39 | −0.14 |
| moss cover | −0.28 | 0.45 | −0.39 | −0.53 | −0.46 | −0.45 | −0.22 | 0.60 | −0.53 | −0.34 | 0.48 | −0.24 | −0.23 | 0.31 | −0.51 | −0.49 | 1.00 | −0.38 | −0.21 | −0.46 | −0.23 | −0.29 | −0.22 | −0.09 |
| <0.6 m saplings density | 0.89 | −0.68 | 0.90 | 0.92 | 0.82 | 0.87 | 0.51 | −0.75 | 0.94 | 0.72 | −0.48 | 0.36 | 0.54 | 0.20 | 0.68 | 0.72 | −0.38 | 1.00 | 0.79 | 0.85 | 0.74 | 0.81 | 0.60 | 0.06 |
| 0.6–1.3 m saplings density | 0.71 | −0.37 | 0.64 | 0.65 | 0.51 | 0.64 | 0.34 | −0.51 | 0.70 | 0.65 | −0.17 | 0.15 | 0.20 | 0.15 | 0.57 | 0.38 | −0.21 | 0.79 | 1.00 | 0.58 | 0.73 | 0.57 | 0.52 | 0.17 |
| <0.6 m saplings browsed proportion | 0.68 | −0.74 | 0.77 | 0.86 | 0.79 | 0.80 | 0.41 | −0.82 | 0.87 | 0.58 | −0.56 | 0.39 | 0.65 | 0.18 | 0.67 | 0.77 | −0.46 | 0.85 | 0.58 | 1.00 | 0.65 | 0.73 | 0.55 | 0.12 |
| 0.6–1.3 m saplings browsed proportion | 0.64 | −0.56 | 0.65 | 0.68 | 0.65 | 0.63 | 0.35 | −0.54 | 0.66 | 0.57 | −0.28 | 0.39 | 0.36 | 0.19 | 0.55 | 0.46 | −0.23 | 0.74 | 0.73 | 0.65 | 1.00 | 0.55 | 0.92 | −0.02 |
| <0.6 m saplings damaged proportion | 0.82 | −0.74 | 0.77 | 0.80 | 0.84 | 0.66 | 0.36 | −0.60 | 0.73 | 0.48 | −0.42 | 0.26 | 0.55 | 0.30 | 0.61 | 0.69 | −0.29 | 0.81 | 0.57 | 0.73 | 0.55 | 1.00 | 0.40 | −0.04 |
| 0.6–1.3 m saplings damaged proportion | 0.52 | −0.52 | 0.53 | 0.59 | 0.60 | 0.51 | 0.28 | −0.47 | 0.55 | 0.55 | −0.31 | 0.43 | 0.29 | 0.10 | 0.42 | 0.39 | −0.22 | 0.60 | 0.52 | 0.55 | 0.92 | 0.40 | 1.00 | −0.10 |
| <0.6 m saplings drought damaged proportion | −0.18 | 0.19 | 0.02 | 0.02 | −0.20 | 0.06 | −0.06 | −0.13 | 0.16 | 0.24 | −0.11 | −0.06 | −0.29 | −0.04 | −0.01 | −0.14 | −0.09 | 0.06 | 0.17 | 0.12 | −0.02 | −0.04 | −0.10 | 1.00 |
Table S4.
Values of variance inflation factors (VIF) for variables used in models and for all variables
| Variable | VIF |
|---|---|
| Proportion of Scots pine in stand | 4.070 |
| Soil texture | 1.448 |
| Soil pH | 4.598 |
| Soil moisture in spring | 2.113 |
| Soil moisture in spring | 3.165 |
| Tree layer cover | 1.699 |
| Shrub layer cover | 3.042 |
| Herb layer cover | 5.000 |
| Moss layer cover | 1.211 |