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. Author manuscript; available in PMC: 2019 Jun 1.
Published in final edited form as: Oecologia. 2018 Mar 30;187(2):427–445. doi: 10.1007/s00442-018-4116-4

Table 2.

Coefficient estimates for models of plant defense chemistry and realized herbivore resistance.

Term type Coefficient estimate sym1 (log) IYG3,4 (log) OYG3,4 (log) I3M3,4 larval mass (mg)5
Main effects Intercept [shade] α0 −0.2 (−0.44, 0.03) −0.06 (−0.55, 0.43) 0.05 (−0.1, 60.19) 1.58 (1.34, 1.8)***
Source [sun] αk 0.3 (0.02, 0.58) −0.11 (−0.3, 0.07) −0.29 (−0.53, −0.01)*
Garden [sun] β0 0.24 (0.04, 0.45)* −0.36 (−0.68, −0.03)
Source [sun] * garden [sun] βk −0.39 (−0.62, −0.16)*** 0.33 (−0.05, 0.7)
Covariate terms x γ0 −0.54 (−0.82, −0.27)*** 0.6 (−0.11, 1.37) 0.18 (−0.01, 0.38)
x × source [sun] γ1 −1.28 (−2.23, −0.44)*
x × garden [sun] γ2
x × source [sun] × garden [sun] γ12
Random effects2 genet τα(j) 0.21 (0.13, 0.31) 0.91 (0.62, 1.34) 0.12 (0, 0.21) 0 (0, 0.14)
garden plot τβ() 0 (0, 0.08) 0.05 (0, 0.35) 0.03 (0, 0.16) 0.1 (0, 0.18)
residual error σe 0.22 (0.18, 0.25) 0.49 (0.41, 0.59) 0.33 (0.28, 0.38) 0.56 (0.5, 0.62)
Model statistics
Rm2
0.14 0 0.12 0.05
Rc2
0.56 0.78 0.23 0.08

p-values indicated by asterisks:

0.05<p<0.1,

*

p<0.05,

**

p<0.01,

***

p<0.001 based on t tests using Kenward–Roger approximation for ddf

confidence intervals calculated via profile likelihood.

1

see ESM section 2.1 for symbolic representation of model coefficients in context of regression equations.

2

group-level effect estimates are presented on the standard deviation scale.

3

covariate = residual(log leaf mass ~ log leaf number)

4

response = residual(log [GSL] ~ log leaf number)

5

covariate = larval batch (A or B).