Ecological Archives E094-025-A4
Graham G. Frye, John W. Connelly, David D. Musil, Jennifer S. Forbey. 2013. Phytochemistry predicts habitat selection by an avian herbivore at multiple spatial scales. Ecology 94:308–314. http://dx.doi.org/10.1890/12-1313.1
Appendix D. Model-selection tables for hierarchical analysis of Greater Sage-Grouse (Centrocercus urophasianus) habitat selection at each of three spatial scales.
Table D1. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for Greater Sage-Grouse (Centrocercus urophasianus) binary logit habitat-selection models at each of three spatial scales during the final stage of model selection. Data were collected during winter in south-central Idaho, USA. The top seven models and the null (intercept-only) model from each predictor category are presented.
Scale |
Model |
Deviance |
K |
AICc |
ΔAICc |
wi |
Habitat type |
CP1 + Total monoterpene² + Height3 |
18.48 |
4 |
27.28 |
0.00 |
0.71 |
|
CP + Height |
23.71 |
3 |
30.18 |
2.90 |
0.17 |
|
Total monoterpene + Height |
24.75 |
3 |
31.22 |
3.94 |
0.10 |
|
Height |
30.37 |
2 |
34.60 |
7.32 |
0.02 |
|
CP + Total monoterpene |
40.70 |
3 |
47.17 |
19.89 |
0.00 |
|
Total monoterpene |
48.36 |
2 |
52.59 |
25.31 |
0.00 |
|
CP + Height |
63.09 |
2 |
67.32 |
40.04 |
0.00 |
|
NULL |
69.55 |
1 |
71.62 |
44.34 |
0.00 |
|
|
|
|
|
|
|
Patch |
CP + Unknown #14 |
110.66 |
3 |
116.94 |
0.00 |
0.41 |
|
CP + Unknown #1 + 1,8-cineole4 |
108.82 |
4 |
117.29 |
0.35 |
0.34 |
|
CP |
115.14 |
2 |
119.27 |
2.33 |
0.13 |
|
CP + 1,8-cineole |
113.73 |
3 |
120.01 |
3.07 |
0.09 |
|
Unknown #1 |
119.70 |
2 |
123.84 |
6.90 |
0.01 |
|
Unknown #1 + 1,8-cineole |
118.03 |
3 |
124.30 |
7.36 |
0.01 |
|
NULL |
122.96 |
1 |
125.00 |
8.06 |
0.01 |
|
1,8-cineole |
121.62 |
2 |
125.76 |
8.82 |
0.00 |
|
|
|
|
|
|
|
Plant |
CP + α-pinene4 + Unknown #1 + 1,8-cineole |
56.64 |
4 |
65.02 |
0.00 |
0.26 |
|
CP + α-pinene + 1,8-cineole |
58.98 |
3 |
65.21 |
0.19 |
0.24 |
|
CP + 1,8-cineole |
61.41 |
2 |
65.52 |
0.50 |
0.20 |
|
CP + Unknown #1+ 1,8-cineole |
59.79 |
3 |
66.02 |
1.00 |
0.16 |
|
Unknown #1 + α-pinene + 1,8-cineole |
61.94 |
3 |
68.17 |
3.15 |
0.05 |
|
α-pinene + 1,8-cineole |
64.16 |
2 |
68.27 |
3.25 |
0.05 |
|
1,8-cineole |
67.19 |
1 |
69.23 |
4.20 |
0.03 |
|
NULL |
74.86 |
0 |
74.86 |
9.84 |
0.00 |
1Crude protein (%)
2Total monoterpene concentration (AUC/100 µg)
3Mean shrub height (cm)
4Monoterpenes (AUC/100 µg)
Table D2. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of Greater Sage-Grouse (Centrocercus urophasianus) binary logit habitat-selection models at the habitat-type scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.
Predictor category |
Model |
Deviance |
K |
AICc |
ΔAICc |
wi |
Nutrient |
CP1 |
67.32 |
2 |
67.32 |
0.00 |
0.90 |
|
NULL |
71.62 |
1 |
71.62 |
4.30 |
0.10 |
|
|
|
|
|
|
|
PSM |
Total monoterpene² |
48.36 |
2 |
52.59 |
0.00 |
1.00 |
|
1,8-cineole3 |
64.82 |
2 |
69.05 |
16.46 |
0.00 |
|
1,8-cineole + Camphene3 |
63.39 |
3 |
69.86 |
17.27 |
0.00 |
|
1,8-cineole + Unknown #73 |
64.12 |
3 |
70.59 |
18.00 |
0.00 |
|
1,8-cineole + Camphene + Unknown #7 |
61.99 |
4 |
70.79 |
18.19 |
0.00 |
|
1,8-cineole + Total phenolic4 |
64.82 |
3 |
71.29 |
18.69 |
0.00 |
|
Camphene + Unknown #7 |
65.11 |
3 |
71.58 |
18.99 |
0.00 |
1Crude protein (%)
2Total monoterpene concentration (AUC/100 μg)
3Monoterpenes (AUC/100 μg)
4Total phenolic concentration (mmol gallic acid equivalents/g dry mass)
5Mean shrub height (cm)
6Canopy cover (%)
Table D3. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of binary logit Greater Sage-Grouse (Centrocercus urophasianus) habitat-selection models at the patch scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.
Predictor category |
Model |
Deviance |
K |
AICc |
ΔAICc |
wi |
Nutrient |
CP1 |
115.14 |
2 |
119.27 |
0.00 |
0.95 |
|
NULL |
122.96 |
1 |
125.00 |
5.73 |
0.05 |
|
|
|
|
|
|
|
PSM |
Unknown #12 |
119.70 |
2 |
123.84 |
0.00 |
0.21 |
|
Unknown #1 + 1,8-cineole2 |
118.03 |
3 |
124.30 |
0.46 |
0.16 |
|
NULL |
122.96 |
1 |
125.00 |
1.16 |
0.12 |
|
Unknown #1 + Camphene2 |
118.88 |
3 |
125.15 |
1.31 |
0.11 |
|
1,8-cineole |
121.62 |
2 |
125.76 |
1.92 |
0.08 |
|
Unknown #1 + Total Phenolic3 |
119.68 |
3 |
125.96 |
2.12 |
0.07 |
|
Unknown #1 + Cymene2 |
119.70 |
3 |
125.98 |
2.14 |
0.07 |
|
Camphene + Unknown #1 + 1,8-cineole |
117.71 |
4 |
126.18 |
2.33 |
0.06 |
|
|
|
|
|
|
|
Structure |
NULL |
122.96 |
1 |
125.00 |
0.00 |
0.43 |
|
Height4 |
121.84 |
2 |
125.98 |
0.98 |
0.26 |
|
Canopy5 |
122.29 |
2 |
126.43 |
1.43 |
0.21 |
|
Height + Canopy |
121.54 |
3 |
127.81 |
2.81 |
0.10 |
1Crude protein (%)
2Monoterpenes (AUC/100 μg)
3Total phenolic concentration (mmol gallic acid equivalents/g dry mass)
4Mean shrub height (cm)
5Canopy cover (%)
Table D4. Deviance, number of parameters (K), Akaike’s Information Criterion with sample size bias adjustment (AICc), change in AICc value from top model (ΔAICc), and model weight (wi) for the first stage of Greater Sage-Grouse (Centrocercus urophasianus) conditional binary logit habitat-selection models at the plant scale, south-central Idaho, USA. For the PSM category, the top seven models and the null (intercept-only) model are presented.
Predictor category |
Model |
Deviance |
K |
AICc |
ΔAICc |
wi |
Nutrient |
CP1 |
68.97 |
1 |
71.01 |
0.00 |
0.87 |
|
NULL |
74.86 |
0 |
74.86 |
3.85 |
0.13 |
|
|
|
|
|
|
|
PSM |
α-pinene2 + Unknown #12 + 1,8-cineole2 + Total phenolic3 |
57.67 |
4 |
66.06 |
0.00 |
0.21 |
|
α-pinene + Unknown #1 + 1,8-cineole |
61.94 |
3 |
68.17 |
2.11 |
0.07 |
|
α-pinene + Unknown #1 + 1,8-cineole + Unknown #72 + Total phenolic |
57.65 |
5 |
68.24 |
2.18 |
0.07 |
|
Unknown #1 + 1,8-cineole + Total phenolic |
62.03 |
3 |
68.26 |
2.20 |
0.07 |
|
α-pinene + 1,8-cineole |
64.16 |
2 |
68.27 |
2.21 |
0.07 |
|
α-pinene + 1,8-cineole + Total phenolic |
62.30 |
3 |
68.53 |
2.47 |
0.06 |
|
α-pinene + Unknown #1 + Total phenolic |
62.50 |
3 |
68.73 |
2.67 |
0.06 |
|
NULL |
74.86 |
0 |
74.86 |
8.80 |
0.00 |
1Crude protein (%)
2Monoterpenes (AUC/100 μg)
3Total phenolic concentration (mmol gallic acid equivalents/g dry mass)