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# handout14 - 11 2pq V 12 = average genetic value of the...

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1 Lecture 14 Measured Phenotypes Measured Phenotypes Population at Equilibrium Genotype Freq. Number Phenotype B 1 B 1 p 2 n 11 P 11 = 100 B 1 B 2 2pq n 12 P 12 = 90 B 2 B 2 q 2 n 22 P 22 = 60 Measured Phenotypes Population at Equilibrium Phenotype = mgt + genotype mgt = P 11 + P 22 = 2 -- When one changes the environment, all phenotypes change equally.-- = 100 + 60 = 80 2

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2 Measured Phenotypes Population at Equilibrium Genetic Value (V) = P - mgt V 11 = P 11 - mgt = 20 V 12 = P 12 - mgt = 10 V 22 = P 22 - mgt = -20 Note: V 22 = -V 11 Because of how we defined management. Modes of Inheritance V 22 0 V 11 V 12 = 0 no dominance 0 < V 12 < V 11 incomplete dominance V 12 = V 11 dominance V 12 > V 11 overdominance Population Mean ( m ) m = P ij n where n = number of animals For one locus: m = n 11 P 11 + n 12 P 12 + n 22 P 22 n = f(B 1 B 1 ) P 11 + f(B 1 B 2 ) P 12 + f(B 2 B 2 ) P 22
3 Population Mean ( m ) If in Equilibrium: m = p 2 (mgt + V 11 ) + 2pq(mgt + V 12 ) + q 2 (mgt +V 22 ) = (p 2 + 2pq + q 2 ) mgt + p 2 V 11 + 2pqV 12 + q 2 V 22 and V 22 = -V 11 1 Population Mean ( m ) If in Equilibrium: = mgt + (p 2 - q 2 ) V 11 + 2pq V 12 and (p 2 - q 2 ) = (p + q)(p - q) = (p - q) m = mgt + (p - q) V 11 + 2pq V 12 Population Mean ( m ) mgt = management

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Unformatted text preview: 11 + 2pq V 12 = average genetic value of the population 4 Population Mean ( m ) For example: f(B 1 ) = p = .5 f(B 2 ) = q = .5 m = 85 mgt = 80 AGV = m- mgt = 5 Selection: cull all B 2 B 2 ’s B 1 B 1 B 1 B 2 B 2 B 2 relative fitness 1 1 frequency p 2 2pq q 2 p 1 = p = 2/3 1 - sq 2--When one randomly mates the selected parents the progeny are in equilibrium.--m = 91.1 mgt = 80 AGV = 11.1 Generations f(B 1 ) m .5 85 1 .67 91.1 2 .75 93.8 3 .80 95.2 … 1.00 100.0 ¥ 1.00 100.0 5 • m increases by changing f(B 1 ) hence AGV • stop at any generation, stay at that level (change is permanent) • population reaches a “selection plateau” when f(B 1 ) is fixed at 1.00 selection plateau 100 -------------------------------------------------85 m generations...
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handout14 - 11 2pq V 12 = average genetic value of the...

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