Table 4.
model 2: p.insem ~B0 + B1(z.sperm) + B2(z.wing) | ||||
param | estimate | s.e. | Mean fitness (p.insem) | % Δ |
B0 | 0.95 | 0.297 | exp(B0)/(1+exp(B0)) = 0.72 | |
B1 | -0.84 | 0.330 | exp(B0 + B1)/(1+exp(B0 + B1)) = 0.53 | -27.0 |
B2 | 0.38 | 0.328 | exp(B0 + B2)/(1+exp(B0 + B2)) = 0.79 | 9.6 |
model 7: p.motile ~B0 + B1(z.sperm) + B2(z.wing) | ||||
param | estimate | s.e. | Mean fitness (p.motile) | % Δ |
B0 | -0.41 | 0.265 | exp(B0)/(1+exp(B0)) = 0.40 | |
B1 | -0.69 | 0.325 | exp(B0 + B1)/(1+exp(B0 + B1)) = 0.25 | -37.3 |
B2 | 0.39 | 0.337 | exp(B0 + B2)/(1+exp(B0 + B2)) = 0.49 | 24.0 |
model 12: p.ovip ~B0 + B1(z.sperm) + B2(z.wing) | ||||
param | estimate | s.e. | Mean fitness (p.ovip) | % Δ |
B0 | -0.34 | 0.265 | exp(B0)/(1+exp(B0)) = 0.42 | |
B1 | -0.73 | 0.329 | exp(B0 + B1)/(1+exp(B0 + B1)) = 0.25 | -38.8 |
B2 | 0.52 | 0.343 | exp(B0 + B2)/(1+exp(B0 + B2)) = 0.54 | 30.9 |
The parameters (B0, B1, and B2) and their estimates and standard errors (s.e.) from GLM models 2, 7 and 12 in Table 3 after standardizing the sire family's mean sperm length (z.sperm) and mean wing length (z.wing) to z-scores. The logit-link function was used to back-calculate the mean fitness (p.insem, p.motile, p.ovip) when the average sire family (z.sperm = 0, z.wing = 0) increased its mean sperm length by one standard deviation while mean wing length was held constant (z.sperm = 1, z.wing = 0), and vice versa (z.sperm = 0, z.wing = 1). The percent change in fitness (% Δ) was calculated relative to the mean fitness of the average sire family.