Table 1.
Performance of the GLMM models for ecological stoichiometry (C:N, C:P, and N:P ratios), stable isotope signatures (δ13C and δ15N) and trophic position, with estimated fixed effects (distance, trophic groups, and their interaction) and random effects (taxonomic composition).
Factor | Estimate | SE | t | P | σ |
---|---|---|---|---|---|
C:N ratio (n = 180; marginal R 2 = 0.87; conditional R 2 = 0.95) | |||||
Fixed effects | |||||
Intercept | 1.45 | 0.05 | 28.2 | 2 × 10−16* | |
Distance | −0.26 | 0.07 | −3.9 | 9 × 10−4* | |
Primary consumers | −0.64 | 0.06 | −10.0 | 6 × 10−9* | |
Secondary consumers | −0.66 | 0.07 | −10.0 | 5 × 10−9* | |
Distance × Primary consumers | 0.25 | 0.08 | 3.0 | 0.007* | |
Distance × Secondary consumers | 0.27 | 0.09 | 3.1 | 0.006* | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 0.11 | ||||
Taxa nested in trophic group × Distance | 0.14 | ||||
Residual | 0.05 | ||||
C:P ratio (n = 143; marginal R 2 = 0.82; conditional R 2 = 0.93) | |||||
Fixed effects | |||||
Intercept | 2.99 | 0.06 | 46.3 | 2 × 10−16* | |
Distance | −0.42 | 0.12 | −3.6 | 0.002* | |
Primary consumers | −0.88 | 0.08 | −10.9 | 2 × 10−9* | |
Secondary consumers | −0.80 | 0.08 | −9.5 | 2 × 10−8* | |
Distance × Primary consumers | 0.53 | 0.15 | 3.7 | 0.002* | |
Distance × Secondary consumers | 0.46 | 0.15 | 3.1 | 0.007* | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 0.13 | ||||
Taxa nested in trophic group × Distance | 0.23 | ||||
Residual | 0.08 | ||||
N:P ratio (n = 142; marginal R 2 = 0.12; conditional R 2 = 0.60) | |||||
Fixed effects | |||||
Intercept | 1.57 | 0.06 | 26.2 | 6 × 10−16* | |
Distance | −0.17 | 0.08 | −2.2 | 0.04 | |
Primary consumers | −0.18 | 0.08 | −2.4 | 0.03 | |
Secondary consumers | −0.07 | 0.08 | −0.9 | 0.4 | |
Distance × Primary consumers | 0.27 | 0.10 | 2.8 | 0.01 | |
Distance × Secondary consumers | 0.19 | 0.10 | 1.9 | 0.07 | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 0.12 | ||||
Taxa nested in trophic group × Distance | 0.13 | ||||
Residual | 0.09 | ||||
δ13C (n = 181; marginal R 2 = 0.22; conditional R 2 = 0.77) | |||||
Fixed effects | |||||
Intercept | −29.75 | 1.09 | −27.3 | 2 × 10−16* | |
Distance | 0.59 | 0.87 | 0.7 | 0.5 | |
Primary consumers | −2.42 | 1.37 | −1.8 | 0.09 | |
Secondary consumers | −4.07 | 1.40 | −2.9 | 0.009 | |
Distance × Primary consumers | −0.94 | 1.09 | −0.9 | 0.4 | |
Distance × Secondary consumers | −0.58 | 1.12 | −0.5 | 0.6 | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 2.21 | ||||
Taxa nested in trophic group × Distance | 0.65 | ||||
Residual | 1.66 | ||||
δ15N (n = 181; marginal R 2 = 0.75; conditional R 2 = 0.83) | |||||
Fixed effects | |||||
Intercept | −1.20 | 0.50 | −2.4 | 0.03 | |
Distance | 7.19 | 0.70 | 10.2 | 6 × 10−9* | |
Primary consumers | 1.99 | 0.63 | 3.2 | 0.006* | |
Secondary consumers | 4.60 | 0.65 | 7.1 | 3 × 10−6* | |
Distance × Primary consumers | −0.02 | 0.88 | 0.0 | 1.0 | |
Distance × Secondary consumers | −2.20 | 0.90 | −2.4 | 0.03 | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 0.85 | ||||
Taxa nested in trophic group × Distance | 0.89 | ||||
Residual | 1.17 | ||||
Trophic position (n = 138; marginal R 2 = 0.30; conditional R 2 = 0.64) | |||||
Fixed effects | |||||
Intercept | 1.78 | 0.16 | 11.1 | 2 × 10−8* | |
Distance | 0.04 | 0.14 | 0.2 | 0.8 | |
Secondary consumers | 1.00 | 0.24 | 4.1 | 0.001* | |
Distance × Secondary consumers | −0.80 | 0.21 | −3.7 | 5 × 10−4* | |
Random effects | |||||
Taxa nested in trophic group × Intercept | 0.42 | ||||
Distance × Secondary consumers | 0.15 | ||||
Residual | 0.37 |
Reported are the number of observations (n), the overall model performance for the fixed effects only (marginal R 2) and for the fixed and random effects combined (conditional R 2). For the fixed effects, the regression coefficients (Estimate) with their standard errors (SE), t values, and P values estimated using the Satterthwaite approximations are presented. For the trophic groups, the primary producers are used as a reference. The fixed effects for the primary consumers and secondary consumers are expressed with respect to this reference level. For the random effects, the standard deviation (σ) is presented. Significant fixed effects are indicated with an asterisk (Bonferroni corrected, P < 0.0083). Note that C:N, C:P, and N:P ratios were log10(x + 1)‐transformed. For details of the individual taxa, see Appendix S3: Table S1, S2.