## The Equation for the Response to Selection and Its Use for Prediction (1997)

Citations: | 103 - 15 self |

### BibTeX

@MISC{Mühlenbein97theequation,

author = {H. Mühlenbein},

title = {The Equation for the Response to Selection and Its Use for Prediction},

year = {1997}

}

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### Abstract

The Breeder Genetic Algorithm (BGA) was designed according to the theories and methods used in the science of livestock breeding. The prediction of a breeding experiment is based on the response to selection (RS) equation. This equation relates the change in a population 's fitness to the standard deviation of its fitness, as well as to the parameters selection intensity and realized heritability. In this paper the exact RS equation is derived for proportionate selection given an infinite population in linkage equilibrium. In linkage equilibrium the genotype frequencies are the product of the univariate marginal frequencies. The equation contains Fisher's fundamental theorem of natural selection as an approximation. The theorem shows that the response is approximately equal to the quotient of a quantity called additive genetic variance, VA , and the average fitness. We compare Mendelian two-parent recombination with gene-pool recombination, which belongs to a special class of genetic ...