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Training of Trainers - Library - Network of Aquaculture Centres in ...

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Where F is the percent <strong>in</strong>crease <strong>in</strong> homozygosity or the amount <strong>of</strong> <strong>in</strong>breed<strong>in</strong>g produced (0-100%) <strong>in</strong> a s<strong>in</strong>glegeneration. This formula shows that when Ne decreases F <strong>in</strong>creases and vice-versa. Ne that are less than 50produce large amount <strong>of</strong> <strong>in</strong>breed<strong>in</strong>g per generation (Figure 1).0.300.250.20F 0.150.100.050.002 4 8 16 32 64 128 256 512N eFigure 1. Relationship between N e and F. F is the <strong>in</strong>breed<strong>in</strong>g (percent <strong>in</strong>crease <strong>in</strong> homozygosity) produced<strong>in</strong> once generation <strong>in</strong> a population with no previous <strong>in</strong>breed<strong>in</strong>g.In a closed population once <strong>in</strong>breed<strong>in</strong>g has occurred, it lowers the N e <strong>of</strong> the next generation:N eN eF =1+ FWhere N eF is the effective breed<strong>in</strong>g number <strong>in</strong> a closed population with F>0%. For practical purposes, the total F isproduced over a series <strong>of</strong> generations can be calculated by summ<strong>in</strong>g the F that is produced <strong>in</strong> each generationwithout consider<strong>in</strong>g previous <strong>in</strong>breed<strong>in</strong>g.So how large N e should be to m<strong>in</strong>imise <strong>in</strong>breed<strong>in</strong>g? There is no rule <strong>of</strong> thumb <strong>of</strong> how large N e should beunfortunately. This depends on the purpose/goal <strong>of</strong> the hatchery (Figure 2).Figure 2. N e needed per generation to produce F <strong>of</strong> 1%, 5% and 10% after 1-50 generations.39

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