The INBREED Procedure
| OUTCOV= Data Set |
The OUTCOV= data set has the following variables:
a list of BY variables, if there is a BY statement
the generation variable, if there is a CLASS statement
the gender variable, if there is a GENDER statement
_Type_, a variable indicating the type of observation. The valid values of the _Type_ variable are ‘COV’ for covariance estimates and ‘INBREED’ for inbreeding coefficients.
_Panel_, a variable indicating the panel number used when populations delimited by BY groups contain different numbers of individuals. If there are
individuals in the first BY group and if any subsequent BY group contains a larger population, then its covariance/inbreeding matrix is divided into panels, with each panel containing columns of data. If you put these panels side by side in increasing _Panel_ number order, then you can reconstruct the covariance or inbreeding matrix. _Col_, a variable used to name columns of the inbreeding or covariance matrix. The values of this variable start with ‘COL’, followed by a number indicating the column number. The names of the individuals corresponding to any given column
can be found by reading the individual’s name across the row that has a _Col_ value of ‘COL’. When the inbreeding or covariance matrix is divided into panels, all the rows repeat for the first columns, all the rows repeat for the next columns, and so on. the variable containing the names of the individuals, that is, the first variable listed in the VAR statement
the variable containing the names of the first parents, that is, the second variable listed in the VAR statement
the variable containing the names of the second parents, that is, the third variable listed in the VAR statement
a list of covariance variables Col1–Col
, where is the maximum number of individuals in the first population
The functions of the variables _Panel_ and _Col_ can best be demonstrated by an example. Assume that there are three individuals in the first BY group and that, in the current BY group (Byvar=2), there are five individuals with the following covariance matrix.
COV |
1 |
2 |
3 |
4 |
5 |
|---|---|---|---|---|---|
1 |
Cov(1,1) |
Cov(1,2) |
Cov(1,3) |
Cov(1,4) |
Cov(1,5) |
2 |
Cov(2,1) |
Cov(2,2) |
Cov(2,3) |
Cov(2,4) |
Cov(2,5) |
3 |
Cov(3,1) |
Cov(3,2) |
Cov(3,3) |
Cov(3,4) |
Cov(3,5) |
4 |
Cov(4,1) |
Cov(4,2) |
Cov(4,3) |
Cov(4,4) |
Cov(4,5) |
5 |
Cov(5,1) |
Cov(5,2) |
Cov(5,3) |
Cov(5,4) |
Cov(5,5) |
Panel 1 |
Panel 2 |
||||
Then the OUTCOV= data set appears as follows.
Byvar |
_Panel_ |
_Col_ |
Individual |
Parent |
Parent2 |
Col1 |
Col2 |
Col3 |
|---|---|---|---|---|---|---|---|---|
2 |
1 |
COL1 |
1 |
Cov(1,1) |
Cov(1,2) |
Cov(1,3) |
||
2 |
1 |
COL2 |
2 |
Cov(2,1) |
Cov(2,2) |
Cov(2,3) |
||
2 |
1 |
COL3 |
3 |
Cov(3,1) |
Cov(3,2) |
Cov(3,3) |
||
2 |
1 |
4 |
Cov(4,1) |
Cov(4,2) |
Cov(4,3) |
|||
2 |
1 |
5 |
Cov(5,1) |
Cov(5,2) |
Cov(5,3) |
|||
2 |
2 |
1 |
Cov(1,4) |
Cov(1,5) |
. |
|||
2 |
2 |
2 |
Cov(2,4) |
Cov(2,5) |
. |
|||
2 |
2 |
3 |
Cov(3,4) |
Cov(3,5) |
. |
|||
2 |
2 |
COL1 |
4 |
Cov(4,4) |
Cov(4,5) |
. |
||
2 |
2 |
COL2 |
5 |
Cov(5,4) |
Cov(5,5) |
. |
Notice that the first three columns go to the first panel (_Panel_=1), and the remaining two go to the second panel (_Panel_=2). Therefore, in the first panel, ‘COL1’, ‘COL2’, and ‘COL3’ correspond to individuals 1, 2, and 3, respectively, while in the second panel, ‘COL1’ and ‘COL2’ correspond to individuals 4 and 5, respectively.