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Equation 10 · Part 1 · The Peacock Problem: Darwin's Second Theory and Its Hard Tests

Symbol beta_t

βt\beta_t
βt\beta_t

What this part means

the write.

Its job in the formula

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

Where the article explains it

Let tˉ\bar t be the population mean of a male display trait and pˉ\bar p the population mean of the corresponding female preference; write βt\beta_t and βp\beta_p for the direct selection gradients acting on each (natural selection pulling βt\beta_t downward, since the ornament is costly), ht2h_t^2 and hp2h_p^2 for their heritabilities, and B for the genetic covariance that non-random mating builds between the two traits.

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…

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Sources cited in the article section

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