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Equation 3 · Part 4 · Comparing the Main Approaches to Evolutionary Biology and Ecology

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pt+1=pt(1+s)1+s ptp_{t+1} = \frac{p_t (1 + s)}{1 + s\, p_t}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

A basic model of directional selection acting on a single locus, of the kind both the field and laboratory results above are ultimately interpreted against, describes how an allele’s frequency changes by one generation under a constant selection coefficient s favoring the allele at frequency p : pt+1=pt(1+s)1+s ptp_{t+1} = \frac{p_t (1 + s)}{1 + s\, p_t}. The equation exposes the model’s real content: selection is strongest while the favored allele is at intermediate frequency, where pt(1−pt)p_t(1-p_t) is largest, and weakens automatically as the allele nears fixation or loss, purely from the algebra of the denominator — a pattern of decelerating change that shows up empirically in both the Grants’ beak-size tracking and the LTEE’s…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.