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. Author manuscript; available in PMC: 2018 Jun 1.
Published in final edited form as: J Evol Biol. 2017 Nov 14;30(12):2116–2131. doi: 10.1111/jeb.13185

Table 2. Bivariate variance component analysis applied to the timing of leaf unfolding (LU) and leaf senescence (LS), and derived statistics. For each component, the first line indicates the least squares regression slope b and the second line, the R2 of the relationship as an estimate of the conditional variance of the traits (see Hansen 2003).

Components All populations Low elevation High elevation
bpln situ* -0.30 (-0.48, -0.09)
0.64 (0.12, 0.97)
-0.29 (-0.84, 0.08)
0.41 (0, 0.89)
-0.11 (-1, 0.71)
0.18 (0, 0.79)
   bp−Common 0.45 (-0.29, 1.07)
0.22 (0, 0.64)
0.65 (-0.61, 1.85)
0.27 (0, 0.81)
0.47 (-1.36, 2.58)
0.28 (0, 0.85)
Contrast bp 0.74 (0.01, 1.42) 0.96 (-0.35, 2.07) 0.65 (-1.25, 2.98)
ba 0.22 (0.04, 0.43)
0.02 (0, 0.07)
0.33 (0.08, 0.55)
0.05 (0, 0.12)
0.02 (-0.24, 0.33)
0.01 (0, 0.05)
bd 0.03 (-20.93, 20.11)
0.07 (0, 0.46)
-0.03 (-18.17, 27.29)
0.16 (0, 0.75)
0.12 (-19.03, 20.76)
0.16 (0, 0.78)
bε 0.25 (0.21, 0.29)
0.02 (0.02, 0.03)
0.22 (0.16, 0.29)
0.01 (0.01, 0.02)
0.27 (0.22, 0.32)
0.03 (0.02, 0.04)
*

Each slope estimate corresponds to b = σ(LU, LS)/σ2(LU), with the indices p, a, d and ε denoting the regression slopes estimated at the between-population (for in situ and common garden experimental designs), genetic, individual non-genetic and within-individual levels, respectively, see the Methods section (equation [1]). 95% credible intervals for b and R2 are indicated in brackets.

Contrast bp is calculated as follows: bp–Common garden – bpln situ.