03.11.2013 Aufrufe

Verena Gonzalez Lopez, 2011 - Institut für Tierzucht und Tierhaltung ...

Verena Gonzalez Lopez, 2011 - Institut für Tierzucht und Tierhaltung ...

Verena Gonzalez Lopez, 2011 - Institut für Tierzucht und Tierhaltung ...

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The general problem of selecting mating pairs in linear programming can described<br />

as follows:<br />

minimize<br />

∑∑<br />

i j<br />

F<br />

ij x ij<br />

subject to the restrictions<br />

x = 0 or 1<br />

ij<br />

∑ xij<br />

= 1<br />

i<br />

∑ x ij<br />

= contribution allocated by optimum algorithm,<br />

j<br />

where<br />

F<br />

ij<br />

is the estimated coancestry between the i th male and j th female and x<br />

ij<br />

is the number of progeny from the ij th mating pair, restricted to 0 or 1.<br />

Results<br />

Selection of candidates according to performance requirement<br />

Average EBV, R-value, inbreeding coefficients, number of tested progeny and their<br />

performance are summarized for potential and selected candidates in Table 1 and 2.<br />

The average EBV of selected candidates was considerably higher compared to those<br />

of potential candidates. As expected, in all traits the performance of tested progeny<br />

of selected candidates was superior to the potential candidates. Moreover, the<br />

selection of candidates according to performance requirements reduced the average<br />

inbreeding slightly due to a substantially lower maximum value. Whereas the<br />

relationship value of selected candidates increased a little. Both, potential BW boars<br />

and selected BW boars have on average a lower relationship value; although the<br />

maximum value is comparable with the value of SH boars.<br />

43

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