Ecological Archives E094-259-A3

Raymond M. Danner, Russell S. Greenberg, Julie E. Danner, Laila T. Kirkpatrick, Jeffrey R. Walters. 2013. Experimental support for food limitation of a short-distance migratory bird wintering in the temperate zone. Ecology 94:2803–2816. http://dx.doi.org/10.1890/13-0337.1

Appendix C. Tables of linear models ranked based on AICc values.

Table C1. Linear models that describe total swamp sparrow abundance on experimental plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Treatment period

3

158.1

0

0.71

Treatment period + Plot

4

160.8

2.7

0.19

Treatment period * Plot

5

162.1

4.0

0.10

Intercept only

2

168.2

10.1

4.61 × 10-3

Plot

3

170.7

12.5

1.34 × 10-3

 

Table C2. Linear models that describe adult Swamp Sparrow abundance on experimental plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Treatment period + Plot

4

130.2

0

0.48

Treatment period

3

130.8

0.5

0.37

Treatment period * Plot

5

133.2

3.0

0.11

Intercept only

2

136.8

6.5

0.02

Plot

3

136.7

6.5

0.02

 

Table C3. Linear models that describe immature Swamp Sparrow abundance on experimental plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Treatment period + Plot

4

138.4

0

0.36

Treatment period * Plot

5

138.6

0.3

0.31

Treatment period

3

139.0

0.7

0.26

Plot

3

142.8

4.4

0.04

Intercept only

2

143.1

4.7

0.03

 

Table C4. Linear models that describe total Swamp Sparrow abundance on control plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Plot

3

178.5

0

0.74

Plot + Treatment period

4

181.1

2.5

0.21

Plot * Treatment period

5

183.8

5.3

0.05

Intercept only

2

209.3

30.8

1.53 × 10-7

Treatment period

3

211.7

33.2

4.57 × 10-8

 

Table C5. Linear models that describe adult Swamp Sparrow abundance on control plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Plot

3

145.5

0

0.76

Plot + Treatment period

4

148.3

2.7

0.19

Plot * Treatment period

5

151.1

5.5

0.05

Intercept only

2

166.0

20.4

2.80 × 10-5

Treatment period

3

168.5

22.9

7.95 × 10-6

 

Table C6. Linear models that describe immature Swamp Sparrow abundance on control plots. K = number of parameters, wi = model weight.

Models

K

AICc

ΔAICc

wi

Plot

3

150.2

0

0.66

Plot + Treatment period

4

152.3

2.1

0.23

Plot * Treatment period

5

153.8

3.6

0.11

Intercept only

2

178.3

28.1

5.33 × 10-7

Treatment period

3

180.5

30.3

1.77 × 10-7

 

Table C7. Cormack-Jolly-Seber logistic regression models that describe apparent survival (φ) and recapture probability (p) for Swamp Sparrows. In all models, recapture probability accounted for Plot + Sex. K = number of parameters, wi = model weight.

φ

K

AICc

ΔAICc

wi

Treatment

7

1538.0

0

0.13

Treatment + Age

8

1538.6

0.5

0.10

Intercept only

6

1539.6

1.6

0.06

Age

7

1539.7

1.7

0.06

Treatment + Year

9

1539.8

1.8

0.05

Treatment * Age

9

1539.8

1.8

0.05

Treatment + Sex

8

1540.1

2.0

0.05

Treatment + Sex * Age

10

1540.2

2.1

0.04

Treatment + Sex + Age

9

1540.5

2.5

0.04

Year

8

1540.7

2.7

0.03

Treatment * Sex

9

1540.7

2.7

0.03

Sex * Age

9

1540.9

2.9

0.03

Treatment + Year + Age

10

1541.0

3.0

0.03

Sex

7

1541.6

3.6

0.02

Treatment * Age + Sex

10

1541.6

3.6

0.02

Treatment * Sex + Age

10

1541.7

3.6

0.02

Sex + Age

8

1541.8

3.7

0.02

Year + Age

9

1541.8

3.8

0.02

Treatment + Year + Sex

10

1541.8

3.8

0.02

Year + Sex

9

1542.7

4.6

0.01

Plot

9

1542.9

4.9

0.01

Treatment + Year + Sex + Age

11

1543.0

5.0

0.01

Treatment + Year + Sex * Age

12

1543.1

5.1

0.01

Year * Sex

11

1543.1

5.1

0.01

Year + Sex * Age

11

1543.2

5.1

0.01

Year * Age

11

1543.2

5.1

0.01

Treatment + Plot

10

1543.2

5.2

0.01

Plot + Age

10

1543.3

5.3

9.20 × 10-3

Plot + Sex * Age

12

1543.4

5.3

8.97 × 10-3

Treatment * Sex * Age

13

1543.4

5.4

8.56 × 10-3

Treatment + Plot + Age

11

1543.7

5.7

7.37 × 10-3

Year + Sex + Age

10

1543.8

5.8

7.12 × 10-3

Year * Sex + Age

12

1544.0

6.0

6.53 × 10-3

Treatment + Plot + Sex * Age

13

1544.4

6.4

5.22 × 10-3

Plot + Year

11

1544.6

6.6

4.72 × 10-3

Plot + Sex

10

1544.9

6.9

4.10 × 10-3

Plot + Sex + Age

11

1545.1

7.0

3.81 × 10-3

Treatment + Plot + Sex

11

1545.2

7.2

3.57 × 10-3

Year * Age + Sex

12

1545.2

7.2

3.53 × 10-3

Plot + Year * Sex

14

1545.6

7.5

2.98 × 10-3

Treatment + Plot + Sex + Age

12

1545.6

7.5

2.94 × 10-3

Plot + Year * Sex + Age

15

1545.7

7.7

2.78 × 10-3

Plot + Year + Age

12

1545.8

7.8

2.60 × 10-3

Treatment * Sex * Age + Year

15

1546.3

8.3

2.03 × 10-3

Plot + Year + Sex * Age

14

1546.4

8.4

1.96 × 10-3

Plot + Year * Sex * Age

20

1546.6

8.6

1.76 × 10-3

Plot + Year + Sex

12

1546.7

8.6

1.70 × 10-3

Plot * Age + Year

15

1547.6

9.6

1.08 × 10-3

Plot + Year * Age

14

1547.7

9.7

9.94 × 10-4

Plot + Year + Sex + Age

13

1547.8

9.8

9.75 × 10-4

Year * Sex * Age

17

1547.9

9.8

9.43 × 10-4

Plot * Sex + Year

15

1548.7

10.7

6.22 × 10-4

Plot * Age + Sex + Year

16

1549.3

11.3

4.61 × 10-4

Plot + Year * Age + Sex

15

1549.7

11.7

3.72 × 10-4

Plot * Sex + Age + Year

16

1549.7

11.7

3.68 × 10-4

Plot * Year

17

1552.0

14.0

1.18 × 10-4

Plot * Sex * Age + Year

23

1552.4

14.4

9.54 × 10-5

Plot * Year + Age

18

1553.5

15.5

5.65 × 10-5

Plot * Year + Sex

18

1554.1

16.1

4.15 × 10-5

Plot * Year + Sex * Age

20

1555.0

16.9

2.71 × 10-5

Plot * Year * Sex

29

1557.4

19.4

8.03 × 10-6

Plot * Year * Sex + Age

30

1558.4

20.4

4.83 × 10-6

Plot * Year * Age

29

1563.8

25.7

3.30 × 10-7

Plot * Year * Age + Sex

30

1565.9

27.9

1.15 × 10-7

Plot * Year * Sex * Age

53

1576.6

38.6

5.37 × 10-10

 

Table C8. Robust models that describe survival (S), temporary emigration (γ'' and γ'), encounter probability (p), and abundance for Swamp Sparrows in 2008. K = number of parameters, wi = model weight. Dots indicate that parameters are constrained to constant values.

S

γ''

γ'

p

N

K

AICc

ΔAICc

wi

.

0

0

.

Session

7

-715.6

0

0.99

.

Time

Time

.

Session

11

-707.2

8.4

0.01


Table C9. Linear mixed models that describe scaled mass index of Swamp Sparrows. K = number of parameters, wi = model weight. All models include Individual as a random effect and Ordinal Day.

Models

K

AICc

ΔAICc

wi

Treatment * Sex * Age + Year

13

3965.6

0

0.72

Plot * Year + Age

16

3969.1

3.5

0.13

Plot * Year * Sex + Age

28

3970.3

4.7

0.07

Plot * Year + Sex + Age

17

3971.1

5.5

0.05

Plot * Year + Sex * Age

18

3972.1

6.5

0.03

Treatment + Year + Age

8

3976.1

10.5

3.84 × 10-3

Plot * Year

15

3976.3

10.7

3.36 × 10-3

Treatment + Year + Sex + Age

9

3978.0

12.4

1.45 × 10-3

Treatment + Year + Sex * Age

10

3978.1

12.5

1.37 × 10-3

Plot * Year + Sex

16

3978.3

12.7

1.23 × 10-3

Plot * Year * Sex

27

3980.0

14.4

5.47 × 10-4

Treatment + Year

7

3981.0

15.4

3.20 × 10-4

Treatment + Year + Sex

8

3982.9

17.3

1.24 × 10-4

Plot * Year * Age

27

3983.9

18.3

7.63 × 10-5

Plot * Year * Age + Sex

28

3986.0

20.4

2.69 × 10-5

Plot * Year * Sex * Age

51

4000.9

35.3

1.59 × 10-8

Plot + Year * Age

12

4002.3

36.7

7.63 × 10-9

Year * Age

9

4003.3

37.7

4.71 × 10-9

Plot + Year * Age + Sex

13

4004.3

38.7

2.86 × 10-9

Year * Age + Sex

10

4005.2

39.6

1.84 × 10-9

Plot * Age + Year

13

4007.1

41.5

7.13 × 10-10

Plot + Year + Sex * Age

12

4007.3

41.7

6.45 × 10-10

Plot + Year + Age

10

4007.5

41.9

5.66 × 10-10

Year + Sex * Age

9

4007.7

42.1

5.20 × 10-10

Year + Age

7

4007.9

42.3

4.70 × 10-10

Plot * Age + Sex + Year

14

4008.9

43.3

2.88 × 10-10

Plot + Year + Sex + Age

11

4009.3

43.7

2.37 × 10-10

Year + Sex + Age

8

4009.5

43.9

2.09 × 10-10

Plot * Sex * Age + Year

21

4010.4

44.8

1.32 × 10-10

Plot + Year

9

4010.8

45.1

1.13 × 10-10

Plot * Sex + Age + Year

14

4010.8

45.2

1.12 × 10-10

Plot + Year * Sex * Age

18

4011.2

45.6

9.02 × 10-11

Year

6

4011.4

45.8

7.98 × 10-11

Year * Sex * Age

15

4012.3

46.7

5.22 × 10-11

Plot + Year + Sex

10

4012.4

46.8

4.87 × 10-11

Year + Sex

7

4013.0

47.4

3.70 × 10-11

Plot + Year * Sex + Age

13

4013.3

47.7

3.08 × 10-11

Year * Sex + Age

10

4013.6

48.0

2.77 × 10-11

Plot * Sex + Year

13

4013.9

48.3

2.34 × 10-11

Treatment * Sex * Age

11

4014.1

48.5

2.11 × 10-11

Treatment * Age

7

4015.1

49.5

1.30 × 10-11

Plot + Year * Sex

12

4016.2

50.6

7.44 × 10-12

Year * Sex

9

4016.6

51.0

6.03 × 10-12

Treatment * Age + Sex

8

4017.0

51.4

4.93 × 10-12

Treatment + Plot + Age

9

4018.3

52.7

2.57 × 10-12

Treatment + Plot + Sex + Age

10

4020.3

54.7

9.55 × 10-13

Treatment * Sex + Age

8

4021.6

55.9

5.10 × 10-13

Treatment + Plot + Sex * Age

11

4022.1

56.5

3.88 × 10-13

Treatment + Plot

8

4026.7

61.1

3.81 × 10-14

Treatment + Age

6

4027.6

62.0

2.52 × 10-14

Treatment + Plot + Sex

9

4028.7

63.1

1.41 × 10-14

Treatment * Sex

7

4029.4

63.8

1.03 × 10-14

Treatment + Sex + Age

7

4029.5

63.9

9.44 × 10-15

Treatment + Sex * Age

8

4031.5

65.9

3.58 × 10-15

Treatment

5

4036.3

70.7

3.27 × 10-16

Treatment + Sex

6

4038.2

72.6

1.21 × 10-15

Plot + Age

8

4094.7

129.1

6.53 × 10-29

Age

5

4096.3

130.6

3.07 × 10-29

Plot + Sex + Age

9

4096.8

131.2

2.37 × 10-29

Sex + Age

6

4098.3

132.7

1.12 × 10-29

Plot + Sex * Age

10

4098.8

133.1

8.68 × 10-30

Sex * Age

7

4100.3

134.7

4.07 × 10-30

Plot

7

4107.6

142.0

1.05 × 10-31

Intercept only

4

4109.4

143.8

4.37 × 10-32

Plot + Sex

8

4109.6

144.0

3.80 × 10-32

Sex

5

4111.4

145.8

1.59 × 10-32

 

Table C10. Cormack-Jolly-Seber logistic regression models that describe apparent survival (φ) and recapture probability (p) for Swamp Sparrows with respect to Scaled Mass Index and other variables. In all models, recapture probability accounted for Plot + Sex. K = number of parameters, wi = model weight.

φ

K

AICc

ΔAICc

wi

Treatment * Scaled mass

7

1315.5

0

0.78

Scaled mass

5

1318.8

3.3

0.15

Treatment + Scaled mass

6

1320.6

5.1

0.06

Treatment

5

1329.6

14.1

6.83 × 10-4


[Back to E094-259]