*P*, μ, *A*_{m}, *A*_{v} | Phenotype, mean, breeding values for mean and environmental variance |

χ, MS | Standard normal deviate, Mendelian sampling term |

, , , **C** | Genetic variance in mean and environmental variance, genetic correlation between and , genetic variance–covariance matrix |

, | Mean environmental and phenotypic variances |

, , | Mean *P*, *P*^{2}, and *P*^{3} of selected animals |

, , , *n* | Mean phenotype of relatives, mean phenotype squared, mean squared phenotype of relatives, number of relatives |

, | Within-family variance, log-transformed within-family variance |

, | Additive genetic relationships between animal *j* and the group of relatives and between animals within the group of relatives |

**a**, **x** | Vectors of breeding values and and of phenotypic information |

**P**, **G**, , | Variance–covariance matrix of **x**, covariance matrix between **x** and **a**, vectors with |

, , **L** | **P**- and **G**-matrices with , scalar matrix |

**B**, , | Matrix with regression coefficients, vectors with |

*i*, *x*, *p*, *z* | Selection intensity, truncation point, selected proportion, ordinate of standard normal distribution |

, , | Response in and , accuracy of |

, , | Heritability of mean and environmental variance, evolvability of environmental variance |

, , | Environmental variance, breeding value for environmental variance, and genetic variance in environmental variance for the exponential genetic model |