Equation 3 · Part 1 · Human Evolution Did Not Stop, and Medicine Is Now Steering It

Symbol q_n+1

q_{n+1} = \frac{q_n(1 - s q_n)}{1 - s q_n^2}

q_{n+1}

What this part means

$q_n$ +1 is part of the quantity the equation computes from the expression on the right.

Its job in the formula

$q_n$ +1 is part of the quantity the equation computes from the expression on the right.

Full expressionSymbol q_n+1Article meaning

The passage around this formula

…for selection with coefficient s against a fully recessive genotype is: $q_{n+1} = \frac{q_n(1 - s q_n)}{1 - s q_n^2}$ . Set s = 1 , the theoretical maximum in which every affected embryo is detected and never implanted: for q = 0.01 , this gives $q_{n+1}$ = $q_n$ /(1+ $q_n$ ) $\approx$ 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,…

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