Table 1. Numbers of sites inventoried in each year by age since clearfelling (1 year old = 2nd season after harvesting).
Year 1 year old 2 year old 3 year old Total
2006 2 21 3 26
2007 2 13 10 25
2008 7 18 8 33
2009 5 53 30 87
2010 22 48 23 93
2011 5 6 16 27
Total 43 158 89 292
1

Fig. 1. Locations of sites assessed coloured by clear-cut age. Axes show longitude and latitude.

Table 2. Potential independent variables.
Variable Range or categories
Coordinate RT90* East/West 1373546 to 1813800
Coordinate RT90 North/South 6767903 to 7393400
Coast distance 1 to 240 km
Elevation 7 to 660 m above mean sea level
Temperature sum 548.9 to 1267.7 degree days above 5 °C per year
Clear-cut age 1, 2 or 3 years
Site index T14 to T24 for pine and G14 to G28 for spruce (height in m after 100 years)
Tree species Norway spruce, Scots pine or lodgepole pine
Stoniness None, light, medium or heavy
Site preparation Disc trenching, patch scarification or mounding
Mineral soil on site 0% to 88% of planted seedlings surrounded by pure mineral soil
* RT90 is a coordinate reference system with the following prog4string:
+proj=tmerc +lat_0=0 +lon_0=15.80827777777778 +k=1 +x_0=1500000 +y_0=0 +ellps=bessel +units=m +no_defs
Table 3. Simple correlations between variables. Numbers in bold are statistically significant.
Prob. attack Clear-cut age Mineral soil Elevation Coast distance Temp. sum Coordinate E/W Coordinate N/S Stoniness
Prob. attack 1 –0.14226 –0.39653 –0.40913 –0.43813 0.418602 0.279088 –0.08671 0.158614
Clear-cut age –0.14226 1 0.098893 0.137607 0.218259 –0.07446 –0.22084 –0.09351 –0.01117
Mineral soil –0.39653 0.098893 1 0.354485 0.395688 –0.41492 –0.18979 0.168581 –0.15065
Elevation –0.40913 0.137607 0.354485 1 0.800851 –0.84688 –0.70949 –0.14989 –0.00517
Coast dist. –0.43813 0.218259 0.395688 0.800851 1 –0.79097 –0.66678 0.088094 –0.01271
Temp. sum 0.418602 –0.07446 –0.41492 –0.84688 –0.79097 1 0.305601 –0.39451 0.042062
Coordinate E/W 0.279088 –0.22084 –0.18979 –0.70949 –0.66678 0.305601 1 0.661445 –0.05927
Coordinate N/S –0.08671 –0.09351 0.168581 –0.14989 0.088094 –0.39451 0.661445 1 –0.07265
Stoniness 0.158614 –0.01117 –0.15065 –0.00517 –0.01271 0.042062 –0.05927 –0.07265 1
2

Fig. 2. Half width of confidence interval (α = 0.05) for estimates of proportion of seedlings attacked by pine weevils.

Table 4. Regression model with proportion of seedlings attacked (λ = 0.39) as the dependent variable. If a λ-value is shown then this indicates the variable was subjected to a scaled power transformation. All interactions were made with transformed values. AIC = 349. Probabilities in bold are statistically significant.
Variable λ-value Coefficient Standard error P-value
Intercept 2.308e+04 1.477e+04 0.119299
Clear-cut age 0.30 –3.583e–01 1.387e–01 0.010276
Proportion mineral soil 0.70 3.740e–02 2.248e–02 0.097375
Temperature sum 1.49 –2.110e+00 7.051e–01 0.003013
Latitude –2.00 –4.618e+04 2.955e+04 0.119253
Clear-cut age × Mineral soil 1.824e–02 8.515e–03 0.033027
Mineral soil × Temp. sum 6.809e–02 1.860e–02 0.000299
Latitude × Temp. sum 4.221e+00 1.411e+00 0.003011
Mineral soil × Latitude × Temp. sum –1.362e–01 3.720e–02 0.000299
3

Fig. 3. Residuals versus fitted values coloured by age of clear-cut.

4

Fig. 4. Proportion of seedlings attacked by pine weevils versus proportion of seedlings planted in pure mineral soil. Lines show the fit of the multi-linear regression. The maximum temperature sum (1267 degree-days) is shown in full lines and the 25th percentile (909 degree-days) is shown with dashed lines. The colour of each point indicates the number of years since clearfelling.

5

Fig. 5. Proportions of seedlings attacked by pine weevils for clear-cut ages 1 and 2 for several percentages (shown above each column of maps) of seedlings with mineral soil around their bases. The middle row shows the model’s expected values, and the upper and lower 95% confidence limits are shown in the upper and lower rows respectively. Maps were created using R (R Core Development Team 2004). Alpine areas devoid of trees were assumed to be those areas with a mean temperature between May 1st and September 30th less than 7.5 °C (Körner 1998), and in all maps the risk in those areas was set to zero.

Table 5. Regression model with proportion of attacked seedlings that died (λ = 1.275) as the dependent variable. If a λ-value is shown then this indicates the variable was subjected to a scaled power transformation. All interactions were made with transformed values. “% in mineral soil” is the percentage of seedlings at each site with a surround of mineral soil.
Variable λ-value Coefficient Standard error P-value
Intercept –0.189616 0.031980 1.61e–07
% in mineral soil 0.70 –0.012979 0.003085 8.76e–05
6

Fig. 6. Residuals versus predicted values for the model of death due to pine weevil attack.

7

Fig. 7. Proportion of seedlings killed by pine weevil after one and two seasons, and total seedling mortality after two seasons on 27 sites (scattered from south to north but all within 100 km from the coast). Sites are arranged in decreasing order according to the proportion of seedlings killed by pine weevil the first season. Numbers above bars (1–3) denote the age of the clear-cut.