TABLE 1

Characteristics of the simulated multiple environment experiments with both the QTL substitution and residual standard deviation represented as functions of trait mean value

env.Ei12345678910
μi0.00.40.81.21.62.02.42.83.23.6
Single-QTL situations
S1Embedded Image ,Embedded Image
αi0.000.220.300.260.150.00−0.15−0.26−0.30−0.22
σi1.201.211.241.291.361.461.571.701.862.03
Embedded Image 0.000.831.400.990.290.000.220.570.630.29
S2Embedded Image ,Embedded Image
αi0.000.220.300.260.150.00−0.15−0.26−0.30−0.22
σi0.800.810.820.850.880.930.981.051.131.21
Embedded Image 0.001.863.142.280.700.000.561.491.690.83
S3Embedded Image ,Embedded Image
αi0.000.330.440.390.220.00−0.22−0.39−0.44−0.33
σi0.800.810.840.890.961.061.171.301.461.63
Embedded Image 0.004.046.504.511.300.000.892.172.261.03
Two QTL situations
S4Embedded Image
α1i0.000.330.440.390.220.00−0.22−0.39−0.44−0.33
α2i0.400.410.420.450.480.530.580.650.730.82
αi0.780.790.810.860.931.021.131.261.411.58
Embedded Image 0.004.046.504.511.300.000.892.172.261.03
Embedded Image 6.256.005.845.976.176.256.196.116.116.19
S5Embedded Image
α1i0.000.330.440.390.220.00−0.22−0.39−0.44−0.33
α2i0.800.810.840.890.961.061.171.301.461.63
σi0.690.700.730.770.840.921.011.131.261.41
Embedded Image 0.004.046.504.511.300.000.892.172.261.03
Embedded Image 25.024.023.423.924.725.024.724.524.424.7
Multiple QTL situations
S6Embedded Image ,
Embedded Image ,
Embedded Image .
α1i0.000.330.440.390.220.00−0.22−0.39−0.44−0.33
α2i0.510.510.530.560.610.670.740.820.921.03
α3i0.360.360.380.400.430.470.520.580.650.73
α4i0.320.320.340.360.390.420.470.520.580.65
α5i = α6i0.230.230.240.250.270.300.330.370.410.46
α7i0.160.160.170.180.190.210.230.260.290.33
α8i0.110.110.120.130.140.150.170.180.210.23
α9i = α10i0.070.070.080.080.090.090.100.120.130.15
α11i0.050.050.050.060.060.070.070.080.090.10
σi0.690.680.690.750.830.911.011.111.241.40
σpi0.800.810.840.890.961.061.171.301.461.63
Embedded Image 0.004.206.954.731.320.000.902.222.321.04
Embedded Image ,
Embedded Image .
  • The proportion of genetic variance attributed to the QTL is denoted by h2% (Embedded Image , Embedded Image , etc., when several QTL were simulated); μi is the (expected) mean value of the trait in the environment E1; the residual standard deviations are denoted as σi. In the most complex situation S6, we show also the phenotypic standard deviations σpi.