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. 2024 Mar 13;132(5):247–256. doi: 10.1038/s41437-024-00678-1

Table 3.

Second experiment: Linear mixed model on embryo hatching time, hatchling length, larval length, and yolk sac volume at 130 dpf when predicted by treatment (exposure to Aeromonas salmonicida) and paternal skin coloration (yellowness) and/or parental kinship.

Effects Hatching time Hatchling length Larval length 130dpf Yolk sac volume 130dpf
Fixed effects Coefficients DF t p Coefficients DF t p Coefficients DF t p Coefficients DF t p
Intercept 93.74 ± 0.40 172.7 235.5 <0.001 7.15 ± 0.32 2614 22.6 <0.001 21.52 ± 0.42 2254 50.9 <0.001 −25.89 ± 4.34 2417 −5.97 <0.001
Treatment −0.32 ± 0.07 161.8 −4.89 <0.001 −0.10 ± 0.008 165.6 −13.2 <0.001 −0.10 ± 0.01 168.6 −10.8 <0.001 0.02 ± 0.11 164.1 0.20 0.84
Yellowness −0.01 ± 0.01 172.3 −1.16 0.25 −0.0003 ± 0.001 169.9 −0.17 0.86 0.002 ± 0.002 168.8 0.90 0.37 0.02 ± 0.02 173.2 1.03 0.31
Kinship −7.30 ± 2.40 170 −3.04 0.003 −0.33 ± 0.33 167.2 −0.98 0.33 −0.70 ± 0.46 164.4 −1.51 0.13 −11.65 ± 4.00 170.5 −2.92 0.004
Yellowness × kinship 0.46 ± 0.28 173.3 1.67 0.10 0.01 ± 0.04 170.4 0.33 0.74 0.02 ± 0.05 168.6 0.30 0.76 −0.53 ± 0.46 173.4 −1.15 0.25
Treatment ×yellowness −0.007 ± 0.005 160.7 −1.28 0.20 0.002 ± 0.001 160 2.81 0.006 0.0001 ± 0.0001 161.5 0.13 0.90 0.01 ± 0.01 156.5 1.27 0.21
Treatment × kinship 0.62 ± 1.14 152.8 0.54 0.59 −0.13 ± 0.13 145.2 −1.00 0.32 −0.04 ± 0.16 142.7 −0.25 0.80 1.31 ± 1.82 144.8 0.72 0.47
Hatching time 0.06 ± 0.003 2745 17.3 <0.001 −0.06 ± 0.004 2299 −12.6 <0.001 0.58 ± 0.05 2513 12.79 <0.001
Random effectsa Variance components Variance components Variance components Variance components
Family ID 1.62 ± 0.27 <0.001 0.03 ± 0.005 <0.001 0.07 ± 0.01 <0.001 4.39 ± 0.72 <0.001
Family × treatment 1.01 ± 0.16 <0.001 0.003 ± 0.002 0.14 0.003 ± 0.003 0.40 0.80 ± 0.43 0.06
Residual 4.13 ± 0.11 0.16 ± 0.004 0.20 ± 0.006 24.11 ± 0.69

Hatching time was included as a further covariate when testing for effects on hatchling length. The table gives the parameters as in Table 1. Family identity and the interaction between family ID and treatment were included as random factors. Significant p-values are highlighted in bold.

aREML unbounded variance components ± standard error, Wald p-values.