The authors wish to make the following corrections to this paper [1]:
In Equations (2) and (3), variable M is used for a matrix of centered genotypes but different variables (Z) are used in equation 4 and in some equations (points 1, 3 and 6) of the iterative steps in the algorithm of the WGBLUP approach for the same matrix. Thus, the authors would like to change the variable Z to M in Equation (4) as well as on the iterative steps in the algorithm of the WGBLUP approach. The correct expression for Equation (4) is given as
u^=DM′ G−1g^,
For the iterative steps in the algorithm of the WGBLUP approach, the correct expressions are given as
1.
Set parameters to t = 1,D(t)=I,G(t)=MD(t)M′λ, whereλ=1∑i=1m2pi(1−pi);
3.
Compute SNP effects asu^(t)=λD(t)M′G(t)−1g^;
6.
G(t+1)=MD(t+1)M′λwas calculated;
Note that on the above steps, a Z (now M) variable for point 1 and a prime on the Z (now M) for points 3 and 6 were also missing on the original version. Likewise,a^g was changed tog^in point 3.
The authors would like to apologize for any inconvenience caused. The changes do not affect the scientific results. The manuscript will be updated, and the original will remain online on the article webpage, with a reference to this correction.
Conflicts of Interest
The authors declare no conflict of interest.
1. Lopez, B.I.; Lee, S.-H.; Park, J.-E.; Shin, D.-H.; Oh, J.-D.; de las Heras-Saldana, S.; van der Werf, J.; Chai, H.-H.; Park, W.; Lim, D. Weighted genomic best linear unbiased prediction for carcass traits in Hanwoo cattle. Genes 2019, 10, 1019.
Bryan Irvine Lopez1, Seung-Hwan Lee2, Jong-Eun Park1, Dong-Hyun Shin3, Jae-Don Oh3, Sara de las Heras-Saldana4, Julius van der Werf4, Han-Ha Chai1, Woncheoul Park1 and Dajeong Lim1,*
1Division of Animal Genomics and Bioinformatics, National Institute of Animal Science, Rural Development Administration, Wanju 55365, Korea
2Department of Animal Science and Biotechnology, Chungnam National University, Daejeon 34134, Korea
3Department of Animal Biotechnology, Chonbuk National University, Jeonju 54896, Korea
4School of Environmental and Rural Science, University of New England, Armidale 2351, Australia
*Author to whom correspondence should be addressed.
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