Table 1

Table 1 : Description of sampled plots (trees and regeneration).
site N/ha G/ha V/ha spruce % douglas % other % saplings/m² H spruce H douglas H fir H larch H hemlock H other
6 565.00 39.11 449.68 0.00 99.84 0.16 0.02
10.47
5 177.00 42.45 583.08 0.00 100.00 0.00 35.83 17.70 55.52 8.67 21.04 46.20 28.80
8 165.29 39.82 548.76 0.00 99.94 0.06 7.10 99.29 174.44
24.04
44.78
1 573.43 33.29 370.70 62.27 29.94 7.79 1.47 3.82 5.30
6.79 11.94 6.32
7 225.87 29.30 365.09 33.97 21.54 44.49 5.31 45.58 98.87 84.75
94.75 7.83
9 194.54 42.85 578.94 57.23 23.51 19.26 1.37 93.24 82.54
70.06 57.00 133.68
3 849.00 27.47 267.15 99.84 0.00 0.16 0.07
6.90
2 272.73 36.28 460.18 100.00 0.00 0.00 43.48 37.42
47.81
47.75
4 346.00 33.95 440.68 89.39 0.00 10.61 2.25 104.80
22.68

Table 2

Table 2 : Description of sampled saplings
sp n_plot n_ind n_obs mean shoot min shoot max shoot mean H min H max H mean PACL min PACL max PACL
Norway spruce 7 227 625 9.1 0.1 54.0 64.6 0.0 395.0 14.2 1.1 43.9
Douglas fir 6 128 323 11.0 0.3 55.1 90.5 0.0 443.9 12.1 2.8 28.4
Larch 3 56 138 17.3 1.9 82.6 77.2 2.5 199.9 17.2 6.8 28.4
Silver fir 4 52 105 7.5 0.4 36.0 52.5 0.0 407.0 12.3 1.7 21.5
Hemlock 4 48 67 28.8 7.0 47.8 45.5 3.0 106.5 10.5 4.0 19.9
Rowan 6 18 19 7.2 1.3 18.0 29.0 0.0 202.5 11.5 3.2 19.3
Oak 5 15 16 6.4 0.5 18.0 16.3 0.0 58.5 9.7 3.1 21.0
Birch 5 13 13 19.5 5.5 44.0 32.3 0.0 100.2 11.4 3.1 17.7
Beech 4 7 11 10.8 1.4 30.0 55.0 0.0 149.6 8.7 2.5 19.8
Sycamore maple 1 3 6 6.5 2.0 11.0 3.8 0.0 11.0 3.1 3.1 3.1

Table 4

Mean, min and max of browsing percentage and defoliation percentage
sp mean_browsing min max mean_defoliation min max
Beech 28.6 0.0 100.0
Birch 35.0 0.0 100.0
Douglas fir 3.1 0.0 33.3 47.5 18.3 95.0
Hemlock 8.8 0.0 100.0
Larch 5.7 0.0 50.0
Norway spruce 1.4 0.0 33.3 15.4 5.0 58.3
Oak 18.5 0.0 100.0
Rowan 30.0 0.0 100.0
Silver fir 27.6 0.0 100.0 15.3 5.0 31.7
Sycamore maple 33.3 33.3 33.3

PACL for each site

Text figure : Number of observations and statistics of shoot measures and PACL.
site n_ind n_obs mean shoot min shoot max shoot mean H min H max H mean PACL min PACL max PACL
1 54 87 5.6 0.7 44.0 5.5 0.0 23.0 7.1 2.8 13.9
2 56 136 9.6 1.5 37.0 39.9 9.5 101.3 15.1 9.6 43.9
3 3 3 2.9 1.3 4.5 6.9 6.7 7.0 9.8 8.3 10.5
4 43 116 13.0 0.5 54.0 100.6 5.8 395.0 17.7 1.1 29.6
5 127 286 13.5 0.5 47.8 40.5 1.0 159.4 11.1 5.6 20.4
6 1 2 3.0 2.6 3.5 7.7 5.9 9.4 5.8 5.8 5.8
7 103 275 13.7 0.1 82.6 71.3 0.0 301.0 17.4 6.8 28.4
8 96 221 9.7 0.3 55.1 113.0 0.0 443.9 11.2 3.1 21.5
9 84 197 9.7 0.4 41.0 85.7 1.1 407.0 13.2 1.7 21.5

Apical dominance

Text figure : Description of the saplings used to analyse ADR.
species_name_en n_plot n_indiv n_obs mean_adr min_adr max_adr mean_h min_h max_h mean_pacl min_pacl max_pacl
Norway spruce 7 226 582 0.86 0.02 3.2 57.0 3.5 252.0 14.1 1.1 43.9
Douglas fir 5 109 246 1.20 0.06 3.2 94.1 6.5 331.7 12.8 3.1 28.4
Larch 2 46 112 1.09 0.11 2.3 84.9 5.9 199.9 17.3 6.8 28.4
Silver fir 4 41 86 0.69 0.17 1.4 49.0 4.9 199.0 12.1 2.5 21.5

Modeling height increment

Table 3 : Model parameters
sp a a_error a_p A A_error A_p b b_error b_p c c_error c_p cov_aA cov_ab cov_ac cov_Ab cov_Ac cov_bc alpha_plot alpha_year phi epsilon rmse
Norway spruce 0.207 0.039 *** -0.0505636 0.0137133 *** 0.708 0.029 *** 0.421 0.055 *** -0.482 -0.389 -0.610 0.236 0.447 -0.209 5.58e-02 2.81e-02 0.441 0.821 5.084
Douglas-fir 2.419 0.501 *** -0.8540482 0.3764416 *** 0.357 0.033 *** 0.027 0.088 n.s. -0.594 -0.231 -0.782 -0.047 0.560 -0.407 2.37e-05 3.84e-09 0.279 2.066 6.979
Larch 0.410 0.219 n.s.
n.s. 0.412 0.062 *** 0.711 0.180 ***
-0.261 -0.881
-0.217 1.39e-07 2.22e-07 0.433 1.704 11.160
Silver fir 0.249 0.089 ** -0.0584714 0.0378762 ** 0.541 0.047 *** 0.600 0.141 *** -0.687 -0.125 -0.838 0.263 0.538 -0.350 4.11e-02 1.03e-02 0.212 1.413 3.160
Western hemlock 3.502 1.254 **
** 0.404 0.074 *** 0.257 0.108
-0.653 -0.575
-0.189 4.66e-05 6.07e-01 -0.023 9.181 8.225

Figure 2 : Model predictions

Suppl. fig 2 : Model residuals

Relationship between defoliation and PACL

Suppl. Figure 3 : Relationship between defoliation and the social position

Apical dominance

Figure 3 : Apical dominance versus light

same plot but excluding the suppressed saplings (not showed in the manuscript)

Pest and pathogens

Statistics of the observed damages by Contarinia
plot m sd min_pc max_pc m_pc sd_pc
4 1.73 0.69 1.5 28.5 13.40 8.93
5 1.80 1.10 0.5 39.5 14.90 14.56
7 3.21 1.51 3.5 95.0 39.33 27.93
8 2.76 1.08 1.5 60.0 30.47 17.80
9 2.01 0.93 2.0 52.5 18.30 14.62

Figure 4 : Model prediction comparison between this study and a preliminary study

Supplementary table 1 : Modeling with diffuse light rather than PACL

Suppl. Table 1 : Model parameters for model including only the diffuse light. In addition to the table presented in the manuscript, this table contains the values of the matrix variance-covariance.
sp a a_error a_p A A_error A_p b b_error b_p c c_error c_p cov_aA cov_ab cov_ac cov_Ab cov_Ac cov_bc alpha_plot alpha_year phi epsilon rmse deltaAIC
Norway spruce 0.166 0.030 *** -0.0409652 0.0120468 *** 0.632 0.029 *** 0.575 0.065 *** -0.571 -0.295 -0.777 0.105 0.493 -0.307 2.64e-04 3.37e-02 0.448 0.799 5.150 -10.111652
Douglas-fir 1.328 0.414 ** -0.3744339 0.1780312 ** 0.577 0.051 *** -0.101 0.106 n.s. -0.667 -0.395 -0.654 0.332 0.536 -0.280 4.02e-01 2.48e-05 0.230 2.316 6.254 -35.146475
Larch 0.519 0.282 n.s.
n.s. 0.410 0.061 *** 0.607 0.172 ***
-0.302 -0.887
-0.163 8.81e-08 8.67e-12 0.452 1.590 11.378 2.837202
Silver fir 0.195 0.077
-0.0393116 0.0289514
0.533 0.049 *** 0.703 0.158 *** -0.691 -0.039 -0.851 0.188 0.580 -0.385 4.15e-02 8.98e-03 0.207 1.431 3.107 -2.499572
Western hemlock 2.690 1.085
0.398 0.075 *** 0.359 0.140
-0.472 -0.689
-0.272 4.38e-05 4.82e-01 0.005 8.373 8.293 1.451231