Here are just some simple notes about these 2 equivalent models

MME for GBLUP

You can understand GBLUP is a “improved” version of traditional PBLUP

where $\sigma^2_a$ is the total genetic variance,

Model for SNP-BLUP

The marker effects $\mathbf{g}_i$ were assumed to be identically and independently distributed

where

where

MME

where
is the SNP variance for each SNP

The DGV