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Unformatted text preview: Lecture 5. L567: Additive genetic variance Remember that R = η 2 Σ Ρ = ς Α ς Π Σ , σινχε η 2 = ς Α ς Π Ρ = ς Α ς Π χοω( ϖ ι , ζ ι 29 , σινχε Σ = χοω( ϖ ι , ζ ι 29 ρεαρρανγινγ, ϖε γετ Ρ = ς Α χοω( ϖ ι , ζ ι 29 ς Π = ς Α χοω( ϖ ι , ζ ι 29 ς ζ ι Ρ = ς Α β ϖ ι ζ ι , σινχε β ϖ ι ζ ι = χοω( ϖ ι , ζ ι 29 ς ζ ι Note the difference between S , the selection differential, and β w i z i the selection gradient. Clearly the response to selection, R, depends on the additive genetic variance, V A . But how do we understand V A in terms of allele frequencies and their “additive” effects on the phenotype? Note : for the proof that S = cov( w i , z i ) see page 310, Freeman &Heron, third edition. 1 Lecture 5. L567: Additive genetic variance First, a graphical representation of partitioning the variance (acknowledgements to F. Bashey for the visuals). Fortunately, variances can be partitioned in to different components. Below V P = total phenotypic variance V G =total genetic variance V E =total environmental variance V GxE =total variance due to the interaction between genotypes and environment....
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This note was uploaded on 03/26/2012 for the course BIO 2300 taught by Professor Lively during the Fall '11 term at University of Florida.
- Fall '11