Ecological Archives E096-089-A6

Jacquelyn L. A. Wood and Dylan J. Fraser. 2015. Similar plastic responses to elevated temperature among different-sized brook trout populations. Ecology 96:1010–1019. http://dx.doi.org/10.1890/14-1378.1

Appendix F. Variable Hypothesis: Values of slopes between three temperature regimes in relation to N and Nb, GLMM results, and White’s test results to assess the variability of plasticity in relation to population size for early-life history traits at CR.

a

b

c

d

e

Fig. F1. Variable Hypothesis: Values of slopes between three temperature regimes in relation to N and Nb for six early life-history traits to assess the variability of plasticity in relation to population size for eight book trout populations at Cape Race, NL.

Table F1. GLMM regression coefficients (±SE) for the effect of Nb, egg size, family size, and interactions on variability of plasticity for three of six early life-history traits for eight Cape Race trout populations. Values for the random effect are standard deviations with the proportion of total variation attributed to the random effect in brackets.

Hatch date

Yolk-sac volume

Hatch length

Fixed effects

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

Nb

-0.11
(0.071)

0.10
(0.059)

0.018
(0.060)

0.028
(0.018)

-0.029
(0.027)

-9.1×10-3
(0.023)

-5.6×10-3
(4.5×10-3)

2.6×10-3
(6.1×10-3)

-2.3×10-3
(4.3×10-3)

Egg size

-0.24
(0.29)

0.31
(0.24)

0.10
(0.25)

0.20***
(0.066)

-0.13
(0.10)

0.070
(0.085)

-0.023
(0.017)

0.015
(0.023)

-4.6×10-3
(0.016)

Family size

-2.23
(3.07)

1.18
(2.76)

-0.94
(2.61)

0.96
(0.84)

-1.57
(1.12)

-0.32
(0.87)

-0.050
(0.19)

-0.056
(0.26)

-0.14
(0.17)

Nb × egg size

4.4×10-3
(3.5×10-3)

-5.5×10-3
(3.0×10-3)

-1.5×10-3
(2.9×10-3)

-1.2×10-3
(9.3×10-4)

1.0×10-3
(1.3×10-3)

2.3×10-4
(1.1×10-4)

3.3×10-4
(2.2×10-4)

-2.2×10-4
(3.0×10-4)

5.9×10-5
(2.1×10-4)

Nb × family size

0.029
(0.032)

-0.014
(0.029)

0.011
(0.027)

-0.013
(9.7×10-3)

0.013
(0.013)

8.3×10-6
(0.010)

2.9×10-4
(2.2×10-3)

1.4×10-3
(3.0×10-3)

2.0×10-3
(2.0×10-3)

Random effect

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

Stream

2.87
(0.37)

1.19
(0.21)

2.41
(0.37)

0.00
(0.00)

0.70
(0.29)

1.07
(0.45)

0.083
(0.22)

0.12
(0.23)

0.13
(0.34)

Yolk-sac conversion efficiency

Fixed effects

5–7

7–9

5–9

Nb

4.3×10-4
(5.7×10-4)

3.1×10-4
(5.4×10-4)

-6.2×10-4
(6.8×10-4)

Egg size

6.3×10-3 **
(2.2×10-3)

-1.0×10-3
(1.9×10-3)

-4.9×10-3
(2.6×10-3)

Family size

-0.035
(0.024)

0.052*
(0.024)

5.6×10-3
(0.028)

Nb × egg size

-4.6×10-5
(2.8×10-5)

1.9×10-5
(2.7×10-5)

-2.2×10-5
(3.4×10-5)

Nb × family size

3.5×10-4
(2.8×10-4)

-6.7×10-4*
(2.7×10-3)

-2.2×10-4
(3.3×10-4)

Random effect

5–7

7–9

5–9

Stream

0.013
(0.26)

3.7×10-3
(0.01)

0.016
(0.12)

*<0.05, **<0.01, ***<0.001

Table F2. GLMM regression coefficients (±SE) for the effect of N, egg size, family size, and interactions on variability of plasticity for six early life-history traits for eight Cape Race trout populations. Values for the random effect are standard deviations with the proportion of total variation attributed to the random effect in brackets.

Hatch length

Yolk-sac conversion efficiency

Survival

Fixed effects

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

N

-7.4×10-5
(9.3×10-5)

3.3×10-5
(1.2×10-4)

-2.0×10-5
(8.6×10-5)

6.6×10-6
(1.1×10-5)

-1.4×10-7
(1.2×10-5)

6.2×10-6
(1.3×10-5)

3.2×10-6
(1.7×10-5)

7.0×10-6
(1.7×10-5)

1.2×10-5
(1.4×10-5)

Egg size

-0.013
(0.016)

6.2×10-3
(0.021)

-4.0×10-3
(0.015)

5.4×10-3**
(2.0×10-3)

-1.3×10-3
(2.0×10-3)

4.1×10-3
(2.3×10-3)

-7.7×10-3
(4.2×10-3)

0.010*
(4.4×10-3)

4.4×10-3
(3.4×10-3)

Family size

-0.039
(0.16)

9.0×10-4
(0.21)

-0.048
(0.14)

-0.029
(0.020)

0.027
(0.020)

1.3×10-3
(0.023)

0.043
(0.049)

-0.040
(0.048)

1.3×10-3
(0.044)

N × egg size

4.3×10-6
(4.6×10-6)

-2.4×10-6
(6.1×10-6)

7.9×10-7
(4.2×10-6)

-7.4×10-7
(5.7×10-7)

5.1×10-7
(5.8×10-7)

-2.2×10-7
(6.7×10-7)

5.8×10-7
(8.5×10-7)

-9.6×10-7
(8.6×10-7)

-4.8×10-7
(7.5×10-7)

N × family size

2.4×10-6
(3.9×10-5)

1.3×10-5
(5.3×10-5)

1.5×10-5
(3.5×10-5)

6.6×10-6
(4.8×10-6)

-9.3×10-6
(4.8×10-6)

-2.8×10-6
(5.6×10-6)

-1.5×10-5
(1.1×10-5)

9.9×10-6
(1.0×10-5)

-4.8×10-6
(9.9×10-6)

Random effect

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

Stream

0.097
(0.33)

0.11
(0.27)

0.12
(0.47)

0.011
(0.31)

0.012
(0.33)

0.01
(0.07)

0.031
(0.30)

0.048
(0.47)

3.8×10-3
(0.00)

Hatch date

Yolk-sac volume

Emergence length

Fixed effects

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

N

-1.9×10-3
(1.2×10-3)

1.9×10-3
(1.0×10-3)

2.3×10-4
(1.0×10-3)

3.9×10-4
(4.0×10-4)

-4.1×10-4
(5.6×10-4)

-8.1×10-5
(4.5×10-4)

9.2×10-5
(9.4×10-5)

-3.9×10-5
(8.6×10-5)

2.6×10-5
(5.0×10-5)

Egg size

-0.17
(0.24)

0.26
(0.20)

0.078
(0.21)

0.18**
(0.066)

-0.079
(0.094)

0.11
(0.075)

0.033
(0.019)

-0.041*
(0.017)

-4.0×10-3
(9.8×10-3)

Family size

-2.22
(2.54)

0.94
(2.30)

-1.18
2.16)

0.51
(0.71)

-1.49
(0.93)

-0.80
(0.71)

-0.27
(0.24)

0.23
(0.22)

-0.038
(0.13)

N × egg size

7.7×10-5
(6.0×10-5)

-1.0×10-4
(5.3×10-4)

-3.1×10-5
(5.1×10-5)

-1.8×10-5
(2.0×10-5)

9.2×10-6
(2.8×10-5)

-7.0×10-6
(2.2×10-5)

-8.0×10-6
(4.7×10-6)

6.9×10-6
(4.4×10-6)

-5.8×10-7
(2.5×10-6)

N × family size

6.4×10-4
(6.0×10-4)

-2.0×10-4
(5.5×10-4)

3.4×10-4
(5.1×10-4)

-1.5×10-4
(1.7×10-4)

2.8×10-4
(2.3×10-4)

1.4×10-4
(1.7×10-4)

4.8×10-5
(5.6×10-5)

-8.1×10-5
(5.3×10-5)

-1.4×10-5
(3.0×10-5)

Random effect

5–7

7–9

5–9

5–7

7–9

5–9

5–7

7–9

5–9

Stream

2.90
(0.59)

1.02
(0.22)

2.38
(0.57)

0.24
(0.18)

0.78
(0.46)

0.98
(0.75)

0.091
(0.19)

0.00
(0.00)

0.00
(0.00)

*<0.05, **<0.01, ***<0.001

Table F3. Results of White's tests for residual heteroscedasticity in slope values between three temperature regimes in relation to Nb and N for six early life-history traits for eight brook trout populations at Cape Race, NL.

 

Nb

N

 

White's

df

p value

White's

df

p value

Hatch date

5–7

0.40

2

0.82

0.12

2

0.94

7–9

2.07

2

0.36

0.95

2

0.62

5–9

2.29

2

0.32

10.14*

2

0.0063

Hatch length

5–7

0.58

2

0.75

0.40

2

0.82

7–9

0.080

2

0.96

1.54

2

0.46

5–9

1.42

2

0.49

0.50

2

0.78

Yolk-sac volume

5–7

0.57

2

0.75

0.66

2

0.72

7–9

0.93

2

0.63

0.49

2

0.78

5–9

1.16

2

0.56

1.26

2

0.53

Emergence length

5–7

0.66

2

0.72

6.95*

2

0.031

7–9

1.89

2

0.39

3.15

2

0.21

5–9

6.26*

2

0.044

4.12

2

0.13

Yolk-sac conversion

5–7

0.79

2

0.67

0.78

2

0.68

7–9

5.35

2

0.069

1.51

2

0.47

5–9

3.55

2

0.17

2.70

2

0.26

Survival

5–7

1.46

2

0.48

0.047

2

0.98

7–9

1.46

2

0.48

0.30

2

0.86

5–9

3.12

2

0.21

4.90

2

0.086

*<0.05, **<0.01, ***<0.00

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