Equation 15 · The Peacock Problem: Darwin's Second Theory and Its Hard Tests
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.
the population mean of the corresponding female preference. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Read the first line on its own and the trait looks stable: natural selection ( ) pulls the ornament back down every generation. But the second term, B\, , imports a push from the preference side through the genetic covariance the mating system itself has created. When B is large enough relative to the stabilising pull of , the two equations no longer settle to a fixed point; they feed each other, and and escalate together until some external limit — a wing that can no longer lift the tail, a display that finally costs more than it wins — brings the pair to a halt. Nothing in the equations names where that limit falls. That absence of an internal stopping…
Read the full surrounding passage
Read the first line on its own and the trait looks stable: natural selection ( ) pulls the ornament back down every generation. But the second term, B\, , imports a push from the preference side through the genetic covariance the mating system itself has created. When B is large enough relative to the stabilising pull of , the two equations no longer settle to a fixed point; they feed each other, and and escalate together until some external limit — a wing that can no longer lift the tail, a display that finally costs more than it wins — brings the pair to a halt. Nothing in the equations names where that limit falls. That absence of an internal stopping rule is the entire content of “runaway”: once the covariance term dominates, the direction is set and the magnitude is set by biomechanics, not by the selective logic that started the process.
Sources cited in the article section
- [3] The Genetical Theory of Natural Selection ↗
- [4] Models of speciation by sexual selection on polygenic traits ↗
These citations give research context. Read each source to check which claims it supports.
Return to The Peacock Problem: Darwin's Second Theory and Its Hard Tests