Fajardo & McIntire, Treeline dynamics and climate change
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Supplementary Material Journal of Ecology
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“Reversal of multi–century tree growth improvements and loss of synchrony at mountain treelines point
to changes in key drivers” by Alex Fajardo and Eliot J.B. McIntire
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Table S1 Analysis of variance table (using type III sums of squares, i.e., marginal tests) for linear models
of year of recruitment.
Covariate
Sum squares
Degrees of freedom
F–value
Pr(>F)
416996992
54355
41611
5857
12683
38673
43451
32817
1
3
1
1
1
3
3
3
14400
6.26
14.4
2.02
4.38
4.45
5.00
3.78
<0.00001
0.0003858
0.000179
0.1558323
0.0371046
0.0044048
0.0020989
0.0108965
intercept
site
elevation
elevation2
elevation3
site:elevation
site:elevation2
site:elevation3
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Table S2 Analysis of variance table (using type III sums of squares, i.e., marginal tests) for GAMM linear
model for growth.
Covariate
year
elevation
site
year2
year3
year:elevation
year:site
elevation:site
elevation:year2
site:year2
elevation:year3
site:year3
year:elevation:site
elevation:site:year2
elevation:site:year3
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Degrees of
freedom
F–value
Pr(>F)
1
1
3
1
1
1
3
3
1
3
1
3
3
3
3
151.689
6.249
2.469
11.731
114.532
12
38.05
8.185
72.752
15.6
2.782
28.923
49.464
67.489
18.712
<0.00001
0.012427
0.06004
0.000615
<0.00001
0.000533
<0.00001
<0.00001
<0.00001
<0.00001
0.095325
<0.00001
<0.00001
<0.00001
<0.00001
Fajardo & McIntire, Treeline dynamics and climate change
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Figure S1 GAMM transformation of age and basal area in relation to growth. Solid black line indicates
the transformation of age (top) and basal area (bottom) to smoothed, centered age and basal area that
occurred, thereby removing the effect of age and basal area in the growth models. Dashed lines indicate
the 95% confidence interval on the transformations. In the basal area graph, we include the 1:1 line
(dashed) for reference to show that there is indeed a non-linear effect of basal area on growth.