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Dairy Sheep Symposium - the Department of Animal Sciences ...

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Selection differential. The selection differential is a simple concept and refers to <strong>the</strong> difference<br />

between <strong>the</strong> selected animals and <strong>the</strong> average <strong>of</strong> <strong>the</strong> entire flock as shown in Figure 1 where <strong>the</strong><br />

average milk production is 120 liters and <strong>the</strong> average milk production <strong>of</strong> <strong>the</strong> selected animals is<br />

150 liters. The selection differential will be 30 liters.<br />

Figure 1: Selection differential<br />

Selected animals<br />

Flock average = 120 l Selected average = 150 l<br />

Selection differential = 30 l<br />

Combining <strong>the</strong> heritability and <strong>the</strong> selection differential, <strong>the</strong> <strong>the</strong>oretical genetic improvement<br />

per generation would be:<br />

ΔG = h 2 x Sd<br />

In <strong>the</strong> example <strong>the</strong> genetic improvement <strong>of</strong> dairy yield <strong>of</strong> <strong>the</strong> flock would be:<br />

ΔG = .30 x 30<br />

ΔG = 9 liters<br />

Considering that in sheep <strong>the</strong> generation interval is about 3 years, <strong>the</strong> genetic improvement<br />

per year would be:<br />

ΔG /L = h 2 x Sd /3 = .30 x 30/3 = 3 liters<br />

Reducing <strong>the</strong> generation interval by using ram lambs and by breeding young ewes at 7<br />

months <strong>of</strong> age, will greatly improved <strong>the</strong> annual genetic improvement.<br />

However, <strong>the</strong> formula is ra<strong>the</strong>r simplistic and geneticists in charge <strong>of</strong> selection programs<br />

prefer to use <strong>the</strong> following equation:<br />

ΔG/ L = h x σ a x I / Generation interval

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