Table 1 Linear mixed effect models selected for 12 immune parameters.
From: Immunosenescence patterns differ between populations but not between sexes in a long-lived mammal
Immune trait | Best model selected | Age function | Variable | Parameter estimate ± SE | t-value | p | R2m | R2c | Predicted value at two years | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
♂ TF | ♀ TF | ♂ CH | ♀ CH | |||||||||
INNATE TRAITS | ||||||||||||
Neutrophil count | I(age^2)*sex + pop | quadratic | Intercept | 6.00 ± 0.25 | 23.97 | *** | 0.09 | 0.51 | 6.25 ± 0.29 | 6.52 ± 0.15 | 5.34 ± 0.34 | 5.14 ± 0.18 |
I(age^2) | 0.01 ± 0.003 | 3.97 | *** | |||||||||
Sex (M) | 0.57 ± 0.29 | 1.96 | — | |||||||||
Pop (CH) | −1.16 ± 0.22 | −5.15 | *** | |||||||||
I(age^2): sex (M) | −0.02 ± 0.01 | −3.69 | *** | |||||||||
Monocyte count | Constant | — | Intercept | 0.29 ± 0.09 | 3.12 | — | 0.00 | 0.46 | 0.30 ± 0.10 | 0.31 ± 0.10 | 0.29 ± 0.07 | 0.30 ± 0.10 |
Basophil count | Constant | — | Intercept | 0.07 ± 0.02 | 4.33 | — | 0.00 | 0.28 | 0.07 ± 0.02 | 0.07 ± 0.02 | 0.07 ± 0.02 | 0.08 ± 0.01 |
Eosinophil count | Sex | — | Intercept | 0.12 ± 0.01 | 10.03 | *** | 0.02 | 0.15 | 0.07 ± 0.01 | 0.12 ± 0.02 | 0.10 ± 0.02 | 0.11 ± 0.01 |
Sex (M) | −0.03 ± 0.01 | −2.90 | ** | |||||||||
Hemagglutination | Age * pop | threshold (8 years) | Intercept | 2.43 ± 0.65 | 3.76 | *** | 0.01 | 0.44 | 4.03 ± 0.33 | 4.03 ± 0.25 | 4.26 ± 0.35 | 3.98 ± 0.36 |
Age | 0.19 ± 0.07 | 2.85 | ** | |||||||||
Pop (CH) | 2.67 ± 0.88 | 3.04 | ** | |||||||||
Age: Pop | −0.32 ± 0.10 | −3.01 | ** | |||||||||
Hemolysis | Age * pop | threshold (10 years) | Intercept | −1.52 ± 1.31 | −1.17 | — | 0.01 | 0.62 | 2.24 ± 0.41 | 2.35 ± 0.37 | 2.10 ± 0.40 | 1.97 ± 0.38 |
Age | 0.38 ± 0.12 | 3.07 | ** | |||||||||
Pop (CH) | 5.11 ± 2.06 | 2.48 | * | |||||||||
Age: Pop | −0.53 ± 0.20 | −2.57 | * | |||||||||
INFLAMMATORY TRAITS | ||||||||||||
Alpha1-globulin | Age + I(age^2) + pop + sex | quadratic | Intercept | 3.35 ± 0.19 | 17.45 | *** | 0.04 | 0.5 | 3.35 ± 0.20 | 3.11 ± 0.19 | 3.24 ± 0.16 | 2.94 ± 0.15 |
Age | −0.09 ± 0.03 | −2.54 | * | |||||||||
I(age^2) | 0.01 ± 0.003 | 3.29 | ** | |||||||||
Pop (CH) | −0.13 ± 0.05 | −2.76 | ** | |||||||||
Sex (M) | 0.18 ± 0.05 | 3.79 | *** | |||||||||
Alpha2-globulin | Constant | — | Intercept | 5.79 ± 0.30 | 19.62 | − | 0.00 | 0.26 | 5.63 ± 0.30 | 5.84 ± 0.34 | 5.66 ± 0.33 | 5.88 ± 0.29 |
Beta-globulin | I(age^2) + sex + pop | quadratic | Intercept | 5.84 ± 0.38 | 15.22 | *** | 0.12 | 0.43 | 6.20 ± 0.54 | 5.73 ± 0.36 | 7.12 ± 0.51 | 6.41 ± 0.41 |
I(age^2) | 0.02 ± 0.002 | 8.71 | *** | |||||||||
Sex (M) | 0.63 ± 0.16 | 3.81 | *** | |||||||||
Pop (CH) | 0.64 ± 0.16 | 3.87 | *** | |||||||||
Haptoglobin | Age * pop + sex | threshold (9 years) | Intercept | −4.24 ± 0.74 | −5.71 | *** | 0.07 | 0.15 | 0.34 ± 0.10 | 0.15 ± 0.06 | 0.69 ± 0.14 | 0.30 ± 0.11 |
Age | 0.48 ± 0.08 | 6.04 | *** | |||||||||
Pop (CH) | 3.18 ± 1.20 | 2.66 | ** | |||||||||
Sex (M) | 0.25 ± 0.08 | 3.05 | ** | |||||||||
Age: Pop | −0.33 ± 0.13 | −2.50 | * | |||||||||
ADAPTIVE TRAITS | ||||||||||||
Lymphocyte count | Age + I(age^2) + pop | quadratic | Intercept | 2.81 ± 0.17 | 16.49 | *** | 0.14 | 0.37 | 2.25 ± 0.14 | 2.42 ± 0.13 | 1.90 ± 0.17 | 1.89 ± 0.15 |
Age | −0.15 ± 0.05 | −2.76 | ** | |||||||||
I(age^2) | 0.01 ± 0.004 | 2.12 | * | |||||||||
Pop (CH) | −0.65 ± 0.08 | −8.27 | *** | |||||||||
Gamma-globulin | Age + pop | threshold (4 years) | Intercept | 12.32 ± 1.14 | 10.5 | *** | 0.21 | 0.65 | 13.86 ± 0.90 | 13.54 ± 0.93 | 18.55 ± 1.66 | 18.43 ± 1.57 |
Age | 0.52 ± 0.08 | 6.79 | *** | |||||||||
Pop (CH) | 4.40 ± 0.39 | 11.43 | *** | |||||||||
