Extension of Covariance Selection Mathematics¶
PRICE, G. R. (1972). Extension of Covariance Selection Mathematics. Annals of Human Genetics, 35(4), 485-490.
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Primes¶
- Selection Vs Transmission Decomposition
- The recursion invariant is what founds multilevel selection theory: the transmission term \(\Delta z_i\) can itself be expanded by the Price equation at the sub-population level (selection within groups), so a between-group selection term and a within-group selection term separate cleanly — group selection and individual selection become two terms of one nested identity rather than rival verbal theories.
This sourceExtends the covariance decomposition to nested/multilevel form, recursively re-expanding the transmission term to separate between-group from within-group selection.
- The recursion invariant is what founds multilevel selection theory: the transmission term \(\Delta z_i\) can itself be expanded by the Price equation at the sub-population level (selection within groups), so a between-group selection term and a within-group selection term separate cleanly — group selection and individual selection become two terms of one nested identity rather than rival verbal theories.
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