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Equation 3 · Part 10 · Human Evolution Did Not Stop, and Medicine Is Now Steering It

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qn+1=qn(1−sqn)1−sqn2q_{n+1} = \frac{q_n(1 - s q_n)}{1 - s q_n^2}
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What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

It is worth working through what that channel can and cannot do to a population’s allele frequencies, because the arithmetic is genuinely calculable and genuinely modest. Consider a recessive disease allele at population frequency q , and suppose that in some fraction of pregnancies where both parents are identified carriers, embryo testing prevents the birth of an affected (homozygous) child while parents still have the same number of children overall, drawn from the surviving unaffected and carrier embryos. The standard discrete-generation recursion for selection with coefficient s against a fully recessive genotype is: qn+1=qn(1−sqn)1−sqn2q_{n+1} = \frac{q_n(1 - s q_n)}{1 - s q_n^2}. Set s = 1 , the theoretical maximum in which…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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