Equation 1 · Fitness Landscapes and the Limits of the Metaphor
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol w
w is part of the quantity the equation computes from the expression on the right.
Symbol G
G is part of the quantity the equation computes from the expression on the right.
Symbol R
The real numbers: all values on the continuous number line, including negative and fractional values.
Symbol k^L
is an input to the expression that computes the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →superscript
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.
See an illustrated explanation →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Take the genotype-space reading, which is the one that empirical work now uses. A genotype is a sequence. The map is . where the sequence has some length and each site takes one of a small number of states. Two genotypes are neighbours when they differ at a single site. This is the object Maynard Smith described as protein space, and his framing remains the cleanest statement of the constraint: evolution must move through the space one step at a time, and every intermediate must itself be viable, in the way that changing WORD to GENE one letter at a time requires each intervening string to be a real word [ 4 ] .
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
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