Table 3

Estimated (diallel) and realized (artificial selection) genetic variance of gland area (GA) and covariance between gland area and upper bract area (UBA) in the two species of D. scandens

SpeciesDataMethodΔAICcDirectionGlog(GA)Glog(GA), log(UBA)
TovarDiallelMCMCglmm1.05 (0.69; 1.44)0.57 (0.30; 0.87)
Up-Down centeredSymmetric359.90.49 (0.46; 0.52)0.33 (0.30; 0.37)
Symmetric + Bulmer§352.50.53 (0.50; 0.57)0.33 (0.30; 0.37)
Raw dataAsymmetric1.4Up0.26 (0.21; 0.32)0.52 (0.46; 0.59)
Down0.72 (0.66; 0.78)0.17 (0.11; 0.24)
Asymmetric + Bulmer0Up0.27 (0.21; 0.34)0.52 (0.45; 0.59)
Down0.80 (0.73; 0.87)0.17 (0.11; 0.24)
Control-correctedSymmetric239.80.49 (0.46; 0.52)0.34 (0.31; 0.37)
Symmetric + Bulmer§234.60.54 (0.50; 0.58)0.34 (0.31; 0.37)
Asymmetric1.6Up0.40 (0.34; 0.46)0.33 (0.27; 0.40)
Down0.58 (0.53; 0.65)0.35 (0.29; 0.41)
Asymmetric + Bulmer0Up0.44 (0.38; 0.51)0.34 (0.27; 0.40)
Down0.63 (0.57; 0.70)0.35 (0.29; 0.41)
TulumDiallelMCMCglmm0.73 (0.37; 1.16)0.49 (0.23; 0.75)
Up-Down centeredSymmetric462.80.38 (0.34; 0.42)0.14 (0.11; 0.17)
Symmetric + Bulmer§462.80.39 (0.35; 0.43)0.14 (0.11; 0.17)
Raw dataAsymmetric0Up0 (0; Inf)0.17 (0.11; 0.19)
Down0.84 (0.78; 0.9)0.13 (0.07; 0.19)
Asymmetric + Bulmer5.5Up0 (0; Inf)0.17 (0.11; 0.23)
Down0.90 (0.83; 0.97)0.13 (0.07; 0.19)
Control-correctedSymmetric242.00.38 (0.35; 0.42)0.15 (0.11; 0.18)
Symmetric + Bulmer§243.00.40 (0.36; 0.44)0.15 (0.11; 0.18)
Asymmetric0Up0.27 (0.22; 0.34)0.16 (0.10; 0.22)
Down0.51 (0.45; 0.58)0.13 (0.07; 0.20)
Asymmetric + Bulmer1.6Up0.28 (0.22; 0.35)0.16 (0.10; 0.22)
Down0.53 (0.46; 0.61)0.13 (0.07; 0.20)
SpeciesDataMethodΔAICcDirectionGlog(GA)Glog(GA), log(UBA)
TovarDiallelMCMCglmm1.05 (0.69; 1.44)0.57 (0.30; 0.87)
Up-Down centeredSymmetric359.90.49 (0.46; 0.52)0.33 (0.30; 0.37)
Symmetric + Bulmer§352.50.53 (0.50; 0.57)0.33 (0.30; 0.37)
Raw dataAsymmetric1.4Up0.26 (0.21; 0.32)0.52 (0.46; 0.59)
Down0.72 (0.66; 0.78)0.17 (0.11; 0.24)
Asymmetric + Bulmer0Up0.27 (0.21; 0.34)0.52 (0.45; 0.59)
Down0.80 (0.73; 0.87)0.17 (0.11; 0.24)
Control-correctedSymmetric239.80.49 (0.46; 0.52)0.34 (0.31; 0.37)
Symmetric + Bulmer§234.60.54 (0.50; 0.58)0.34 (0.31; 0.37)
Asymmetric1.6Up0.40 (0.34; 0.46)0.33 (0.27; 0.40)
Down0.58 (0.53; 0.65)0.35 (0.29; 0.41)
Asymmetric + Bulmer0Up0.44 (0.38; 0.51)0.34 (0.27; 0.40)
Down0.63 (0.57; 0.70)0.35 (0.29; 0.41)
TulumDiallelMCMCglmm0.73 (0.37; 1.16)0.49 (0.23; 0.75)
Up-Down centeredSymmetric462.80.38 (0.34; 0.42)0.14 (0.11; 0.17)
Symmetric + Bulmer§462.80.39 (0.35; 0.43)0.14 (0.11; 0.17)
Raw dataAsymmetric0Up0 (0; Inf)0.17 (0.11; 0.19)
Down0.84 (0.78; 0.9)0.13 (0.07; 0.19)
Asymmetric + Bulmer5.5Up0 (0; Inf)0.17 (0.11; 0.23)
Down0.90 (0.83; 0.97)0.13 (0.07; 0.19)
Control-correctedSymmetric242.00.38 (0.35; 0.42)0.15 (0.11; 0.18)
Symmetric + Bulmer§243.00.40 (0.36; 0.44)0.15 (0.11; 0.18)
Asymmetric0Up0.27 (0.22; 0.34)0.16 (0.10; 0.22)
Down0.51 (0.45; 0.58)0.13 (0.07; 0.20)
Asymmetric + Bulmer1.6Up0.28 (0.22; 0.35)0.16 (0.10; 0.22)
Down0.53 (0.46; 0.61)0.13 (0.07; 0.20)
§

The bivariate SRA models assume constant genetic covariance (see Appendix S6), therefore estimates of the genetic covariance are not affected by the Bulmer effect.

All estimates are calculated from log-transformed data and × 100. Estimates for the realized responses are calculated for the pooled up- and down-selected lines assuming symmetric response, with or without Bulmer effect, or assuming different variances in the up and down lines, using the raw data or the data corrected for the control (95% credible intervals for the estimated parameters and 95% confidence interval for the realized values in parentheses).

Table 3

Estimated (diallel) and realized (artificial selection) genetic variance of gland area (GA) and covariance between gland area and upper bract area (UBA) in the two species of D. scandens

SpeciesDataMethodΔAICcDirectionGlog(GA)Glog(GA), log(UBA)
TovarDiallelMCMCglmm1.05 (0.69; 1.44)0.57 (0.30; 0.87)
Up-Down centeredSymmetric359.90.49 (0.46; 0.52)0.33 (0.30; 0.37)
Symmetric + Bulmer§352.50.53 (0.50; 0.57)0.33 (0.30; 0.37)
Raw dataAsymmetric1.4Up0.26 (0.21; 0.32)0.52 (0.46; 0.59)
Down0.72 (0.66; 0.78)0.17 (0.11; 0.24)
Asymmetric + Bulmer0Up0.27 (0.21; 0.34)0.52 (0.45; 0.59)
Down0.80 (0.73; 0.87)0.17 (0.11; 0.24)
Control-correctedSymmetric239.80.49 (0.46; 0.52)0.34 (0.31; 0.37)
Symmetric + Bulmer§234.60.54 (0.50; 0.58)0.34 (0.31; 0.37)
Asymmetric1.6Up0.40 (0.34; 0.46)0.33 (0.27; 0.40)
Down0.58 (0.53; 0.65)0.35 (0.29; 0.41)
Asymmetric + Bulmer0Up0.44 (0.38; 0.51)0.34 (0.27; 0.40)
Down0.63 (0.57; 0.70)0.35 (0.29; 0.41)
TulumDiallelMCMCglmm0.73 (0.37; 1.16)0.49 (0.23; 0.75)
Up-Down centeredSymmetric462.80.38 (0.34; 0.42)0.14 (0.11; 0.17)
Symmetric + Bulmer§462.80.39 (0.35; 0.43)0.14 (0.11; 0.17)
Raw dataAsymmetric0Up0 (0; Inf)0.17 (0.11; 0.19)
Down0.84 (0.78; 0.9)0.13 (0.07; 0.19)
Asymmetric + Bulmer5.5Up0 (0; Inf)0.17 (0.11; 0.23)
Down0.90 (0.83; 0.97)0.13 (0.07; 0.19)
Control-correctedSymmetric242.00.38 (0.35; 0.42)0.15 (0.11; 0.18)
Symmetric + Bulmer§243.00.40 (0.36; 0.44)0.15 (0.11; 0.18)
Asymmetric0Up0.27 (0.22; 0.34)0.16 (0.10; 0.22)
Down0.51 (0.45; 0.58)0.13 (0.07; 0.20)
Asymmetric + Bulmer1.6Up0.28 (0.22; 0.35)0.16 (0.10; 0.22)
Down0.53 (0.46; 0.61)0.13 (0.07; 0.20)
SpeciesDataMethodΔAICcDirectionGlog(GA)Glog(GA), log(UBA)
TovarDiallelMCMCglmm1.05 (0.69; 1.44)0.57 (0.30; 0.87)
Up-Down centeredSymmetric359.90.49 (0.46; 0.52)0.33 (0.30; 0.37)
Symmetric + Bulmer§352.50.53 (0.50; 0.57)0.33 (0.30; 0.37)
Raw dataAsymmetric1.4Up0.26 (0.21; 0.32)0.52 (0.46; 0.59)
Down0.72 (0.66; 0.78)0.17 (0.11; 0.24)
Asymmetric + Bulmer0Up0.27 (0.21; 0.34)0.52 (0.45; 0.59)
Down0.80 (0.73; 0.87)0.17 (0.11; 0.24)
Control-correctedSymmetric239.80.49 (0.46; 0.52)0.34 (0.31; 0.37)
Symmetric + Bulmer§234.60.54 (0.50; 0.58)0.34 (0.31; 0.37)
Asymmetric1.6Up0.40 (0.34; 0.46)0.33 (0.27; 0.40)
Down0.58 (0.53; 0.65)0.35 (0.29; 0.41)
Asymmetric + Bulmer0Up0.44 (0.38; 0.51)0.34 (0.27; 0.40)
Down0.63 (0.57; 0.70)0.35 (0.29; 0.41)
TulumDiallelMCMCglmm0.73 (0.37; 1.16)0.49 (0.23; 0.75)
Up-Down centeredSymmetric462.80.38 (0.34; 0.42)0.14 (0.11; 0.17)
Symmetric + Bulmer§462.80.39 (0.35; 0.43)0.14 (0.11; 0.17)
Raw dataAsymmetric0Up0 (0; Inf)0.17 (0.11; 0.19)
Down0.84 (0.78; 0.9)0.13 (0.07; 0.19)
Asymmetric + Bulmer5.5Up0 (0; Inf)0.17 (0.11; 0.23)
Down0.90 (0.83; 0.97)0.13 (0.07; 0.19)
Control-correctedSymmetric242.00.38 (0.35; 0.42)0.15 (0.11; 0.18)
Symmetric + Bulmer§243.00.40 (0.36; 0.44)0.15 (0.11; 0.18)
Asymmetric0Up0.27 (0.22; 0.34)0.16 (0.10; 0.22)
Down0.51 (0.45; 0.58)0.13 (0.07; 0.20)
Asymmetric + Bulmer1.6Up0.28 (0.22; 0.35)0.16 (0.10; 0.22)
Down0.53 (0.46; 0.61)0.13 (0.07; 0.20)
§

The bivariate SRA models assume constant genetic covariance (see Appendix S6), therefore estimates of the genetic covariance are not affected by the Bulmer effect.

All estimates are calculated from log-transformed data and × 100. Estimates for the realized responses are calculated for the pooled up- and down-selected lines assuming symmetric response, with or without Bulmer effect, or assuming different variances in the up and down lines, using the raw data or the data corrected for the control (95% credible intervals for the estimated parameters and 95% confidence interval for the realized values in parentheses).

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