Table 1.
Parameter estimates and their statistical significance in the different mixed-effects models used to model temporal changes in vital rates of Windermere pike
| Response | Random grouping factor | Fixed effects* | Estimate | F value (numerator df, denominator df) | P value† |
|---|---|---|---|---|---|
| Length at age | Individual (13,942 levels) | Temperature (°C) | 3.80 e-1 | 2.95 e+3 (1; 51,166) | <0.0001 |
| Young pike (n) | 1.63 e-4 | 7.86 e+3 (1; 51,166) | <0.0001 | ||
| Old pike (n) | 1.08 e-4 | 3.14 e+2 (1; 51,166) | <0.0001 | ||
| Young perch (n) | −4.00 e-6 | 2.60 e+3 (1; 51,166) | <0.0001 | ||
| Old perch (n) | −7.46 e-6 | 6.55 e+3 (1; 51,166) | <0.0001 | ||
| Basin (two levels) | 2.87 e-1 | 1.27 e+2 (1; 51,166) | <0.0001 | ||
| Sex (females relative to males) | 1.19 e+1 | 3.70 e+4 (1; 51,167) | <0.0001 | ||
| Year (n) | 1.58 e-1 | 1.65 e+5 (1; 51,167) | <0.0001 | ||
| Temperature × young pike | −1.33 e-5 | 1.61 e+3 (1; 51,166) | <0.0001 | ||
| Temperature × old pike | −1.60 e-6 | 7.80 e+3 (1; 51,166) | <0.0001 | ||
| Temperature × young perch | 4.05 e-7 | 1.46 e+3 (1; 51,166) | <0.0001 | ||
| Temperature × old perch | 7.14 e-7 | 2.12 e+3 (1; 51,166) | <0.0001 | ||
| Sex × year | 2.01 e-1 | 2.79 e+3 (1; 51,166) | <0.0001 | ||
| ln gonad weight | Year (factor variable, 39 levels) | Month | −2.20 e-2 | 9.38 e+1 (1; 3,023) | <0.0001 |
| Kns (somatic body condition) | 6.20 e-3 | 4.94 e+1 (1; 3,023) | <0.0001 | ||
| ln length (cm) | 4.01 | 7.21 e+3 (1; 3,027) | <0.0001 | ||
| Age (n) | −1.55 e-2 | 6.15 (1; 3,027) | 0.0132 | ||
| Year (n) | −6.79 e-3 | 1.59 e+1 (1; 37) | 0.0003 | ||
| ln length × age | 1.59 e+1 | 2.49 e+1 (1; 3,023) | <0.0001 | ||
| ln length × year | 8.15 e-2 | 7.00 e+1 (1; 3,023) | <0.0001 | ||
| Year × age | 3.46 e-2 | 1.64 (1; 3,023) | 0.2004 | ||
| ln length × year × age | −8.10 e-3 | 9.30 (1; 3,023) | 0.0023 | ||
| Egg weight | Year (factor variable, 39 levels) | Month | −8.38 e-5 | 3.74 e+2 (1; 3,023) | <0.0001 |
| Kns (somatic body condition) | 3.20 e-6 | 2.20 (1; 3,023) | 0.1382 | ||
| ln length (cm) | 1.43 e-3 | 2.98 e+1 (1; 3,027) | <0.0001 | ||
| Age (n) | −9.33 e-6 | 2.88 e-1 (1; 3,027) | 0.5915 | ||
| Year (n) | −4.97 e-6 | 1.29 (1; 37) | 0.2627 | ||
| ln length × age | 4.05 e-2 | 1.95 e-1 (1; 3,023) | 0.6592 | ||
| ln length × year | 1.57 e-4 | 2.42 (1; 3,023) | 0.1196 | ||
| Year × age | 8.33 e-5 | 9.62 (1; 3,023) | 0.0019 | ||
| ln length × year × age | −2.04 e-5 | 6.96 (1; 3,023) | 0.0084 | ||
| ln egg number | Year (factor variable, 39 levels) | Kns (somatic body condition) | 4.96 e-3 | 4.75 e+1 (1; 3,024) | <0.0001 |
| ln length (cm) | 3.56 | 3.62 e+3 (1; 3,028) | <0.0001 | ||
| Age (n) | −1.34 e-2 | 8.80 (1; 3,028) | 0.0030 | ||
| Year (n) | −3.32 e-3 | 8.3 (1; 37) | 0.0065 | ||
| ln length × age | 4.14 | 4.58 e+1 (1; 3,024) | <0.0001 | ||
| ln length × year | 2.07 e-2 | 9.1 (1; 3,024) | 0.0026 | ||
| Year × age | 1.04 e-2 | 3.8 (1; 3,024) | 0.0513 | ||
| ln length × year × age | −2.17 e-3 | 1.1 (1; 3,024) | 0.2965 |
*Parameter estimates for main effects are from models without interaction terms.
†Sequentially tested.