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Equation 11 · Part 2 · The Peacock Problem: Darwin's Second Theory and Its Hard Tests

Symbol beta_p

B βpB\,\beta_p
βp\beta_p

What this part means

betapa_p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

betapa_p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Read the first line on its own and the trait looks stable: natural selection ( βt\beta_t ) pulls the ornament back down every generation. But the second term, B\,βp\beta_p , 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 βt\beta_t , the two equations no longer settle to a fixed point; they feed each other, and tˉ\bar t and pˉ\bar p 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…

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