Back to Search Start Over

Index Selection for Direct and Maternal Genetic Components of Economic Traits

Authors :
L. D. Van Vleck
Source :
Biometrics. 26:477
Publication Year :
1970
Publisher :
JSTOR, 1970.

Abstract

The selection index criterion for aggregate genetic value defined as H = v* g*, where g* is a vector of additive genetic values of the several economically important traits and v* is a vector of relative economic values is, as is well known, I = (P-'G*v*)'x, where P is the phenotypic covariance matrix of the data vector, x, and G* is the genetic covariance matrix of the economically importatn traits. When each trait has a direct and a maternal additive genetic component the selection index criterion becomes I = (P-'A'Gv)' x, where G is the covariance matrix of the direct and maternal genetic components of all the traits, (twice the order of G*), v is the vector of economic values of the direct and maternal components of all the traits (twice the length of v*), and A is a particular matrix consisting of zeros and additive relationships of the animal being evaluated with its relatives having records and with the dams of those relatives. The correlated response for the kth component (direct or maternal) of thejth trait is Agi = Agjk = v'G'AP-1(A'G)j/0-1 times the standardized selection differential, where (A'G)i is the ith column of A'G.

Details

ISSN :
0006341X
Volume :
26
Database :
OpenAIRE
Journal :
Biometrics
Accession number :
edsair.doi...........73fd3219f4078e4d74dac1d06879ce40