Residual feed intake is defined as the difference between actual feed
intake and that predicted on the basis of requirements for production
and maintenance of body weight. Formulas were developed to obtain gene
tic parameters of residual feed intake from knowledge of the genetic a
nd phenotypic parameters of the component traits. Genetic parameters o
f residual feed intake were determined for a range of heritabilities (
h2 = .1, .3, or .5) for component traits of feed intake and production
, and genetic (r(g) = .1, .5, or .9) and environmental ( r(e) = .1, .5
, or .9) correlations between them. Resulting heritability of residual
feed intake ranged from .03 to .84 and the genetic correlation betwee
n residual feed intake and production ranged from -.90 to .87. Heritab
ility of residual feed intake depends considerably on the environmenta
l correlation between feed intake and production. Residual feed intake
based on phenotypic regression of feed intake on production usually c
ontains a genetic component due to production. Residual feed intake ba
sed on genotypic regression of feed intake on production is geneticall
y independent of production and its use is equivalent to use of a sele
ction index restricted to hold production constant. Multiple-trait sel
ection on residual feed intake, based on either phenotypic or genetic
regressions, and production is equivalent to multiple-trait selection
on feed intake and production. Residual energy intake in dairy cattle
was examined as an example. Heritability of residual energy intake bas
ed on genotypic regression was close to zero and indicated that measur
ement of feed intake provides little additional genetic information ov
er and above that provided by milk production and body weight. The pri
nciples outlined in this study have broader application than just to r
esidual feed intake and apply to any trait that is defined as a linear
function of other traits.