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Equation 9 · Part 4 · The Peacock Problem: Darwin's Second Theory and Its Hard Tests

Symbol beta_t

Δtˉ=ht2 βt+B βpΔpˉ=B βt+hp2 βp\begin{aligned} \Delta \bar{t} &= h_t^{2}\,\beta_t + B\,\beta_p \\ \Delta \bar{p} &= B\,\beta_t + h_p^{2}\,\beta_p \end{aligned}
βt\beta_t

What this part means

the write.

Its job in the formula

betata_t is one of the signed contributions combined to compute the quantity on the left.

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

…of a population” [ 4 ] . One compact way to see why sits in the coupling itself. 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 standard…

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Sources cited in the surrounding passage

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