readme.blupf90
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Specify the SNP file name to use genotype data. | Specify the SNP file name to use genotype data. | ||
+ | |||
+ | |||
+ | ==== Omit A-inverse ==== | ||
+ | |||
+ | OPTION omit_ainv | ||
+ | |||
+ | This option prohibits the program from creating $\mathbf{A}^{-1}$. | ||
+ | It is especially useful for GBLUP. | ||
+ | For example, if you would like to perform the exact GBLUP, you can put the following options to your parameter file. | ||
+ | |||
+ | OPTION omit_ainv | ||
+ | OPTION TauOmega 1.0 0.0 | ||
+ | OPTION AlphaBeta 0.95 0.05 | ||
+ | |||
+ | With the above options, the program doesn' | ||
+ | |||
+ | === Details === | ||
+ | Assuming a single-trait ssGBLUP, the mixed model equations are as follows. | ||
+ | |||
+ | \( | ||
+ | \left[ | ||
+ | \begin{array}{ll} | ||
+ | \mathbf{X}' | ||
+ | \mathbf{Z}' | ||
+ | \end{array} | ||
+ | \right] | ||
+ | \left[ | ||
+ | \begin{array}{c} | ||
+ | \mathbf{\hat{b}}\\ | ||
+ | \mathbf{\hat{u}} | ||
+ | \end{array} | ||
+ | \right] | ||
+ | = | ||
+ | \left[ | ||
+ | \begin{array}{c} | ||
+ | \mathbf{X}' | ||
+ | \mathbf{Z}' | ||
+ | \end{array} | ||
+ | \right] | ||
+ | \) | ||
+ | |||
+ | where $\mathbf{H}$ is a matrix combining additive genetic relationship matrices and a genomic relationship matrix. | ||
+ | |||
+ | \( | ||
+ | \mathbf{H}^{-1} | ||
+ | = | ||
+ | \mathbf{A}^{-1} | ||
+ | + | ||
+ | \left[ | ||
+ | \begin{array}{cc} | ||
+ | \mathbf{0} & \mathbf{0} \\ | ||
+ | \mathbf{0} & \tau\mathbf{G}^{-1}-\omega\mathbf{A}_{22}^{-1} | ||
+ | \end{array} | ||
+ | \right] | ||
+ | \) | ||
+ | |||
+ | If we omit $\mathbf{A}^{-1}$ and $\mathbf{A}_{22}^{-1}$, | ||
+ | GBLUP by BLUPF90 was not so easy because the program creates $\mathbf{A}^{-1}$ by default and there was no way to avoid this behavior. | ||
+ | The new option removes $\mathbf{A}^{-1}$ from the equations so GBLUP will be easily performed. | ||
readme.blupf90.txt · Last modified: 2024/03/25 18:22 by 127.0.0.1