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qn+1=qn/(1+qn)≈0.009901q_{n+1} = q_n/(1+q_n) \approx 0.009901

Why this formula appears here

Set s = 1 , the theoretical maximum in which every affected embryo is detected and never implanted: for q = 0.01 , this gives qn+1q_{n+1} = qnq_n/(1+qnq_n) ≈\approx 0.009901 , a reduction of under one-tenth of one percent of the allele’s frequency in a single generation, even at total, universal, perfectly effective screening. The reason the effect is so small is structural, not a modeling artifact: for a rare recessive allele, the overwhelming majority of copies are carried silently in heterozygous carriers, invisible to any selection that acts only on homozygotes, and embryo selection — like natural selection against recessive disease before it — can only ever act on the small fraction of matings…

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Published contexts (1)

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qn+1=qn/(1+qn)≈0.009901q_{n+1} = q_n/(1+q_n) \approx 0.009901

Equation 6 · Technological Evolution

Human Evolution Did Not Stop, and Medicine Is Now Steering It

This equation gives an approximation: it relates the quantities while allowing an approximation.

Set s = 1 , the theoretical maximum in which every affected embryo is detected and never implanted: for q = 0.01 , this gives qn+1q_{n+1} = qnq_n/(1+qnq_n) ≈\approx 0.009901 , a reduction of under one-tenth of one percent of the allele’s frequency in a single generation, even at total, universal, perfectly effective screening. The reason the effect is so small is structural, not a modeling artifact: for a rare recessive allele, the overwhelming majority of copies are carried silently in heterozygous carriers, invisible to any selection that acts only on homozygotes, and embryo selection — like natural selection against recessive disease before it — can only ever act on the small fraction of matings…

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