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Table 4 Reproductive success as a function of sperm and wing length in A. gambiae males (Parameter estimates)

From: Intra-specific variation of sperm length in the malaria vector Anopheles gambiae: males with shorter sperm have higher reproductive success

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
  1. 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.