coinbreedpr

# coinbreedpr - the questions Cov Z*X = 1/2[Cov Z*S Cov Z*D =...

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PRACTICE WITH USE OF THE COVARIANCE TABLE METHOD OF INBREEDING CALCULATION Z T Z T R R T A R T B A B D R D S S D X Z 1 0 .5 .25 .25 .25 .375 T 1 .5 .75 .75 .75 .625 .6875 R 1 .75 .75 .875 .8125 A 1.25 .75 1.0 .9375 B 1.25 1.0 1.125 1.0625 D 1.375 1.0625 1.21875 S X Given the information in the covariance table above, fill in the empty values (the Cov values below) and also answer the questions: Cov Z*X = Cov R*A = Cov A*S = Cov S*S = Cov S*X = Cov X*X = a. What is the level of inbreeding to be expected in the mating of Z to X? b. What animal should cow D be mated to that would result in the lowest level of inbreeding? c. What is the inbreeding coefficient of X? d. What level of inbreeding would be expected in the mating of X back to her sire, S?

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ANSWERS Z T Z T R R T A R T B A B D R D S S D X Z 1 0 .5 .25 .25 .25 .375 T 1 .5 .75 .75 .75 .625 .6875 R 1 .75 .75 .875 .8125 A 1.25 .75 1.0 .9375 B 1.25 1.0 1.125 1.0625 D 1.375 1.0625 1.21875 S X Given the information in the covariance table above, fill in the empty values (the Cov values below) and also answer
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Unformatted text preview: the questions: Cov Z*X = 1/2[Cov Z*S + Cov Z*D] = ½ [.25 + .375] = .3125 Cov R*A = 1/2[Cov R*R + Cov R*T] =½ [1 + .5] = .75 Cov A*S = 1/2[Cov A*R + Cov A*D] = ½ [.75 + 1] = .875 Cov S*S = 1 + 1/2[CovR*D] That is 1 + 1/2Cov(Parents of S) = 1 + F S = 1 + .5[.75] = 1.375 Cov S*X = 1/2[Cov S*S + Cov S*D] =½ [1.375 + 1.0625] = 1.21875 Cov X*X = 1 + 1/2[Cov S*D] = 1 + F X = 1 + ½ [1.0625] = 1.53125 a. What is the level of inbreeding to be expected in the mating of Z to X? ½ Cov Z*X = ½ * .3125 = .15625 b. What animal should cow D be mated to that would result in the lowest level of inbreeding? Z, this mating would yield progeny with an inbreeding coefficient of only .125. c. What is the inbreeding coefficient of X? .53125 d. How much inbreeding would be expected in the mating of X back to her sire, S? ½ * Cov X*S = ½ * 1.21875 = .609375...
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coinbreedpr - the questions Cov Z*X = 1/2[Cov Z*S Cov Z*D =...

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