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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.