Page 206 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition
P. 206

Table 11.3. Mean and SNP effects from
                             SNP-BLUP model with polygenic effects.

                             Mean effects
                                                         9.940
                             SNP effects
                                1                        0.078
                                2                       −0.280
                                3                        0.234
                                4                       −0.075
                                5                        0.098
                                6                        0.128
                                7                        0.000
                                8                        0.000
                                9                       −0.054
                               10                       −0.018

         Table 11.4. Direct genomic breeding values from models with polygenic effects.

                                    SNP-BLUP model                  GBLUP
                                 Polygenic       DGV         Polygenic       DGV
         Reference animals
           13                      0.011         0.066         0.011         0.064
           14                     −0.007         0.102        −0.007         0.106
           15                      0.043         0.071         0.043         0.074
           16                      0.076         0.299         0.076         0.305
           17                     −0.015        −0.473        −0.015        −0.477
           18                     −0.025        −0.343        −0.025        −0.345
           19                     −0.021         0.115        −0.021         0.115
         Selection candidates
           20                     −0.056        −0.254        −0.056        −0.260
           21                      0.005         0.028         0.005         0.029
           22                     −0.006         0.102        −0.006         0.102
           23                     −0.004        −0.220        −0.004        −0.220
           24                     −0.008         0.125        −0.008         0.125
           25                     −0.003         0.051        −0.003         0.051
           26                     −0.006         0.316        −0.006         0.315

         The mean solution from solving Eqn 11.16 was 9.940. The DGVs for the reference
         and validation populations from both sets of MME are given in Table 11.4. As
         expected, Eqns 11.14 and 11.16 gave similar results, but for this example, the inclusion
         of 10% polygenic effects decreased the range of SNP solutions slightly but increased
         the range for DGVs.


         11.7   Single-step Approach

         Since the genomic predictions are usually based on a subset of data used for national
         evaluation, the DGV are usually combined with some measure of conventional breeding
         values to incorporate additional information in the conventional evaluations.


          190                                                            Chapter 11
   201   202   203   204   205   206   207   208   209   210   211