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marker-assisted selection in wheat

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208Marker-<strong>assisted</strong> <strong>selection</strong> – Current status and future perspectives <strong>in</strong> crops, livestock, forestry and fishFigure 4The modified granddaughter designQ1 Q2 M1M2H1H2Q1M1Q2M2H3H4H1 Q1 H2 M1 H3 M2Q2H4Only alleles for the QTL are shown. Alleles orig<strong>in</strong>at<strong>in</strong>g <strong>in</strong> the heterozygous grandsire are termed “Q1” and Q2”. Alleles orig<strong>in</strong>at<strong>in</strong>g<strong>in</strong> the grand-dams are termed “M1” and “M2”. Alleles orig<strong>in</strong>at<strong>in</strong>g <strong>in</strong> the sires are termed “H1”, “H2”, “H3” and “H4”.negative grandpaternal QTL allele, and halfshould receive neither grandpaternal allele.In the third case, the granddaughter receivedone of the QTL alleles of her grand-dam,the mate of the heterozygous grandsire.These grand-dams can be considered arandom sample of the general populationwith respect to the allelic distribution of theQTL. All genetic and environmental effectsnot l<strong>in</strong>ked to the chromosomal segment <strong>in</strong>question are assumed to be randomly distributedamong the granddaughters, or are<strong>in</strong>cluded <strong>in</strong> the analysis model. Thus, unlikethe daughter or granddaughter designs, it ispossible to compare the effects of the twograndpaternal alleles with the mean QTLpopulation effect.Assum<strong>in</strong>g that the QTL is “functionallybiallelic” (i.e. there are only two alleleswith differential expression relative to thequantitative trait), and that allele orig<strong>in</strong>can be determ<strong>in</strong>ed <strong>in</strong> the granddaughters,the relative frequencies of the two QTLalleles <strong>in</strong> the population can be determ<strong>in</strong>edby compar<strong>in</strong>g the mean values of thethree groups of granddaughters for thequantitative trait. Us<strong>in</strong>g the modifiedgranddaughter design it is also possible toestimate the number of alleles segregat<strong>in</strong>g<strong>in</strong> the population, and to determ<strong>in</strong>e if thesame alleles are segregat<strong>in</strong>g <strong>in</strong> differentcattle populations. Weller et al. (2002)estimated the frequency of the QTL allelethat <strong>in</strong>creases fat and prote<strong>in</strong> concentrationon BTA6 <strong>in</strong> the Israeli Holste<strong>in</strong> populationas 0.69 and 0.63, relative to fat and prote<strong>in</strong>percent, by the modified granddaughterdesign. This corresponded closely to thefrequency of 0.69 estimated for the Y581allele of the ABCG2 gene for cows borndur<strong>in</strong>g the same time period (Cohen-Z<strong>in</strong>deret al., 2005).

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