Table 1. Coordinates, altitude, temperature sum, and horizontal distance between the zones in each location. Coordinates and temperature sums are focused on the timber-line zones. The average temperature sums (+5 °C threshold) were provided in a climatic grid (1961–90 standard period) by using the model of Ojansuu and Henttonen (1983). | |||||||||
Altitude (m a.s.l.) | Horizontal distance (m) between | ||||||||
Location | Latitude | Longitude | Dominant conifer1 | Forest zone | Timber line | Tree line | Temperature sum (d.d. 5 °C) | Forest and timber line | Timber line and tree line |
Kevo Tsieskuljoki | 69°41’ N | 26°59’ E | P | 110 | 180 | 190 | 773 | 310 | 180 |
Kevo, nat. res | 69°45’ N | 27°03’ E | P | 185 | 210 | 225 | 741 | 230 | 100 |
Karigasniemi | 69°25’ N | 25°53’ E | P | 225 | 275 | 420 | 770 | 840 | 810 |
Syysjärvi | 69°17’ N | 27°12’ E | P | 215 | 220 | 225 | 781 | 1280 | 11460 |
Lemmenjoki | 68°43’ N | 26°06’ E | P | 285 | 375 | 415* | 782 | 460 | 130 |
Urupää | 68°28’ N | 27°26’ E | P | 315 | 340 | 370* | 745 | 140 | 210 |
Alajoenpää | 68°28’ N | 27°22’ E | P | 340 | 380 | 400* | 748 | 250 | 270 |
Ylläs | 67°34’ N | 24°11’ E | P | 380 | 410 | 465* | 900 | 240 | 210 |
Lommoltunturi | 68°00’ N | 24°09’ E | S | 410 | 445 | 465* | 874 | 250 | 120 |
Pallaskero | 68°02’ N | 24°06’ E | S | 465 | 480 | 500* | 892 | 220 | 110 |
Sarmitunturi | 68°39’ N | 28°23’ E | S | 340 | 370 | 410* | 842 | 150 | 160 |
Pyhätunturi | 67°01’ N | 27°07’ E | S | 380 | 400 | 420 | 914 | 300 | 260 |
Riisitunturi | 66°13’ N | 28°33’ E | S | 420 | 440 | 460* | 943 | 120 | 190 |
1 Dominant conifer species: P = pine, S = spruce. * Indicates that a larger sample plot area (500 m2) has been used. |
Table 2. The estimates and Likelihood-ratio tests of the models for Norway spruce, t-values for the coefficients and χ2 – values for the Likelihood ratio tests are presented in t/Chisq. Tests show the significance of the variables in the model and the significance of the coefficients related to the reference categories (given in parentheses). A non-significant interaction term means that the coefficients do not differ from the coefficient of reference category. | ||||||
Variable / term | Coefficient | Std. error | Df | t/Chisq | p | |
Norway spruce, number of trees and seedlings ha–1 | ||||||
Intercept | 7.000 | 0.376 | 56/1 | 18.62/346.54 | 0.000 | |
Region (ref. Western) | 1 | 4.28 | 0.039 | |||
-Eastern | -0.854 | 0.412 | 3 | -2.07 | 0.130 | |
Zone (ref. Forest) | 2 | 3.70 | 0.157 | |||
-Timber line | 0.333 | 0.342 | 8 | 0.97 | 0.359 | |
-Tree line | -0.325 | 0.342 | 8 | -0.95 | 0.370 | |
Time | 0.018 | 0.010 | 56/1 | 1.77/3.13 | 0.077 | |
Region*Time | 1 | 1.81 | 0.179 | |||
-Eastern*Time | -0.013 | 0.010 | 56 | -1.35 | 0.184 | |
Zone*Time | 2 | 3.49 | 0.175 | |||
-Timber line*Time | 0.006 | 0.012 | 56 | 0.48 | 0.630 | |
-Tree line*Time | 0.021 | 0.012 | 56 | 1.80 | 0.077 | |
Random effects | Estimate | Cl 95% | ||||
Location | 0.107 | 0.007 – 1.682 | ||||
Zone nested Location | 0.187 | 0.061 – 0.579 | ||||
Error (compound symmetry) | 0.141 | 0.098 – 0.205 | ||||
Norway spruce, volume of tree stock, m3ha–1 | ||||||
Intercept | 7.970 | 1.073 | 56/1 | 7.43/55.19 | 0.000 | |
Region (ref. Western) | 1 | 0.65 | 0.420 | |||
-Eastern | -1.031 | 1.278 | 3 | -0.81 | 0.479 | |
Zone (ref. Forest) | 2 | 67.50 | 0.000 | |||
-Timber line | -2.056 | 0.717 | 8 | -2.87 | 0.021 | |
-Tree line | -5.812 | 0.717 | 8 | -8.10 | 0.000 | |
Time | 0.043 | 0.010 | 56/1 | 4.27/18.21 | 0.000 | |
Region*Time | 1 | 2.85 | 0.091 | |||
-Eastern*Time | -0.017 | 0.010 | 56 | -1.69 | 0.097 | |
Zone*Time | 2 | 8.10 | 0.017 | |||
-Timber line*Time | 0.012 | 0.012 | 56 | 1.04 | 0.301 | |
-Tree line*Time | -0.021 | 0.012 | 56 | -1.77 | 0.082 | |
Random effects | Estimate | Cl 95% | ||||
Location | 1.530 | 0.197 – 11.853 | ||||
Zone nested within Location | 1.186 | 0.443 – 3.177 | ||||
Error (ARH-1, phi = 0.55) | 0.398 | 0.165 – 0.957 |
Table 3. The estimates and Likelihood-ratio tests of the models for Scots pine, t-values for the coefficients and χ2 – values for the Likelihood ratio tests are presented in t/Chisq. Tests show the significance of the variables in the model and the significance of the coefficients related to the reference categories (given in parentheses). A non-significant interaction term means that the coefficients do not differ from the coefficient of reference category. | ||||||
Variable / term | Coefficient | Std. error | Df | t/Chisq | p | |
Scots pine, number of trees and seedlings ha–1 | ||||||
Intercept | 6.577 | 0.695 | 90/1 | 9.43/88.90 | 0.000 | |
Region (ref. Northern) | 1 | 0.84 | 0.359 | |||
-Southern | 0.729 | 0.795 | 6 | 0.92 | 0.395 | |
Zone (ref. Forest) | 2 | 10.12 | 0.006 | |||
-Timber line | -1.040 | 0.710 | 14 | -1.47 | 0.165 | |
-Tree line | -2.256 | 0.710 | 14 | -3.18 | 0.007 | |
Time | 0.012 | 0.009 | 90/1 | 1.36/1.85 | 0.174 | |
Region*Time | 1 | 12.95 | 0.000 | |||
-Southern*Time | -0.032 | 0.009 | 90 | -3.60 | 0.001 | |
Zone*Time | 2 | 0.91 | 0.635 | |||
-Timber line*Time | -0.010 | 0.011 | 90 | -0.89 | 0.377 | |
-Tree line*Time | -0.008 | 0.011 | 90 | -0.74 | 0.464 | |
Random effects | Estimate | Cl 95% | ||||
Location | 0.591 | 0.050 – 7.018 | ||||
Zone nested Location | 1.876 | 0.882 – 3.990 | ||||
Error (compound symmetry) | 0.185 | 0.138 – 0.248 | ||||
Scots pine, volume of tree stock, m3ha–1 | ||||||
Intercept | 7.124 | 1.166 | 90/1 | 6.11/37.34 | 0.000 | |
Region (ref. Northern) | 1 | 0.00 | 0.997 | |||
-Southern | -0.005 | 1.296 | 6 | -0.00 | 0.997 | |
Zone (ref. Forest) | 2 | 24.57 | 0.000 | |||
-Timber line | -3.665 | 1.247 | 14 | -2.94 | 0.011 | |
-Tree line | -6.145 | 1.247 | 14 | -4.93 | 0.000 | |
Time | 0.054 | 0.015 | 90/1 | 3.64/13.27 | 0.000 | |
Region*Time | 1 | 0.50 | 0.478 | |||
-Southern*Time | -0.011 | 0.015 | 90 | -0.71 | 0.479 | |
Zone*Time | 2 | 5.47 | 0.065 | |||
-Timber line*Time | 0.026 | 0.018 | 90 | 1.43 | 0.155 | |
-Tree line*Time | -0.016 | 0.018 | 90 | -0.89 | 0.377 | |
Random effects | Estimate | Cl 95% | ||||
Location | 1.287 | 0.084 – 19.753 | ||||
Zone nested within Location | 4.968 | 2.348 – 10.513 | ||||
Error (ARH-1, phi = 0.91) | 1.325 | 0.533 – 3.294 |
Table 4. Significances (p-values) of asymptotical tests for the coefficients of the interaction terms (Time*Region or Time*Zone) in the models. Hypothesis is that the coefficients = 0. The arrows denote either a significant increasing or decreasing change in time, or non-significant change (flat arrow). | ||||
Coefficient | Scots pine, number of trees ha–1 | Scots pine, volume of tree stock, m3ha–1 | Norway spruce, number of trees ha–1 | Norway spruce, volume of tree stock, m3ha–1 |
Region: northern (pine), western (spruce) | 0.327 → | 0.000 ↗ | 0.000 ↗ | 0.000 ↗ |
Region: southern (pine), eastern (spruce) | 0.000 ↘ | 0.000 ↗ | 0.026 ↗ | 0.000 ↗ |
Zone: forest | 0.590 → | 0.000 ↗ | 0.127 → | 0.000 ↗ |
Zone: timber line | 0.078 → | 0.000 ↗ | 0.041 ↗ | 0.000 ↗ |
Zone: tree line | 0.120 → | 0.011 ↗ | 0.000 ↗ | 0.086 → |