| Preface: Theory Versus Results |
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xi | |
| Preface to the Second Edition |
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xiii | |
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1 | (10) |
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1 | (1) |
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1 | (2) |
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Quantitative Genetics 1920-1980, or Who Needs Mendel? |
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3 | (1) |
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QTL Detection 1930-1980, Theory and Experiments |
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4 | (1) |
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From Biochemistry to Biotechnology, or More Markers Than We Will Ever Need |
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4 | (2) |
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Genetic Mapping Functions |
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6 | (3) |
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Physical and Genetic Mapping, Questions of Scale |
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9 | (1) |
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10 | (1) |
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Principles of Parameter Estimation |
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11 | (13) |
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11 | (1) |
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Desired Properties of QTL Parameter Estimates |
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12 | (1) |
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Moments Method of Estimation |
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13 | (1) |
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Least-squares Parameter Estimation |
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13 | (1) |
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Least-squares Solutions for a Single Parameter |
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14 | (1) |
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Least-squares Solutions for the General Linear Model |
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15 | (1) |
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Maximum Likelihood Estimation for a Single Parameter |
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15 | (2) |
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Maximum Likelihood Multi-parameter Estimation |
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17 | (1) |
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Confidence Intervals and Hypothesis Testing for MLE |
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18 | (1) |
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Methods to Maximize Likelihood Functions |
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19 | (1) |
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19 | (1) |
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Second Derivative-based Methods |
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20 | (1) |
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First Derivative-based Methods (Expectation-maximization) |
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20 | (1) |
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21 | (1) |
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Minimum Difference Estimation |
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22 | (1) |
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22 | (2) |
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Random and Fixed Effects, the Mixed Model |
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24 | (15) |
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24 | (1) |
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24 | (1) |
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The Mixed Model Equations |
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25 | (1) |
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Solving the Mixed Model Equations |
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26 | (1) |
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Some Important Properties of Mixed Model Solutions |
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27 | (1) |
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28 | (1) |
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Multivariate Mixed Model Analysis |
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28 | (1) |
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29 | (1) |
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The Individual Animal Model |
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30 | (1) |
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Grouping Individuals with Unknown Ancestors |
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31 | (1) |
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32 | (1) |
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Maximum Likelihood Estimation with Mixed Models |
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33 | (1) |
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Estimation of Variance Components, Analysis of Variance-type Methods |
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33 | (1) |
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Maximum Likelihood Estimation of Variance Components |
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34 | (2) |
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Restricted Maximum Likelihood Estimation of Variance Components |
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36 | (1) |
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The Problem of Variance Components Outside the Parameter Space |
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37 | (1) |
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38 | (1) |
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Experimental Designs to Detect QTL: Generation of Linkage Disequilibrium |
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39 | (24) |
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39 | (1) |
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Assumptions, Problems and Types of Effects Postulated |
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39 | (3) |
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Experimental Designs for Detection of QTL in Crosses Between Inbred Lines |
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42 | (1) |
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Linear Model Analysis of Crosses Between Inbred Lines |
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43 | (4) |
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Experimental Designs for Detection of QTL in Segregating Populations: General Considerations |
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47 | (1) |
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Experimental Designs for Detection of QTL in Segregating Populations: Large Families |
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48 | (3) |
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Experimental Designs for Detection of QTL in Segregating Populations: Small Families |
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51 | (3) |
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Experimental Designs Based on Additional Generations: Inbred Lines |
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54 | (1) |
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Experimental Designs Based on Additional Generations: Segregating Populations |
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55 | (3) |
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Comparison of the Expected Contrasts for Different Experimental Designs |
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58 | (1) |
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Gametic Effect Models for Complete Population Analyses |
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59 | (1) |
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60 | (3) |
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QTL Parameter Estimation for Crosses between Inbred Lines |
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63 | (17) |
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63 | (1) |
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Moments Method of Estimation |
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63 | (2) |
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Least-squares Estimation of QTL Parameters |
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65 | (3) |
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Least-squares Estimation of QTL Location for Sib-pair Analysis with Flanking Markers |
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68 | (1) |
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Linear Regression Mapping of QTL with Flanking Markers |
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69 | (2) |
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Marker Information Content for Interval Mapping, Uninformative and Missing Marker Genotypes |
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71 | (2) |
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Maximum Likelihood QTL Parameter Estimation for Crosses Between Inbred Lines and a Single Marker |
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73 | (1) |
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Maximum Likelihood Tests of Significance for a Segregating QTL |
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74 | (1) |
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Maximum Likelihood QTL Parameter Estimation for Crosses between Inbred Lines and Two Flanking Markers |
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74 | (1) |
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Estimation of QTL Parameters by the Expectation-maximization Algorithm |
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75 | (2) |
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Biases in Estimation of QTL Parameters with Interval Mapping |
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77 | (1) |
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The Likelihood Ratio Test with Interval Mapping |
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78 | (1) |
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79 | (1) |
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Advanced Statistical Methods for QTL Detection and Parameter Estimation |
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80 | (23) |
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80 | (1) |
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80 | (1) |
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81 | (2) |
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Simultaneous Analysis of Multiple Marker Brackets |
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83 | (1) |
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Principles of Composite Interval Mapping |
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84 | (1) |
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Properties of Composite Interval Mapping |
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85 | (1) |
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Derivation of Maximum Likelihood Parameter Estimates by Composite Interval Mapping |
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85 | (1) |
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Hypothesis Testing with Composite Interval Mapping |
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86 | (1) |
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Multi-marker and QTL Analysis by Regression of Phenotype on Marker Genotypes |
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87 | (1) |
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Estimation of QTL Parameters in Outbred Populations |
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88 | (1) |
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Analysis of Field Data, Daughter and Granddaughter Designs |
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89 | (2) |
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Maximum Likelihood Analysis of QTL Parameters for the Daughter Design with Linkage to a Single Marker |
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91 | (2) |
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Non-linear and Linear Regression Estimation for Complex Pedigrees |
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93 | (1) |
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Estimation of QTL Allelic Frequencies in Segregating Populations |
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94 | (2) |
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Maximum Likelihood Estimation with Random Effects Included in the Model |
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96 | (1) |
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Incorporation of Genotype Effects into Animal Model Evaluations When Only a Small Fraction of the Population Has Been Genotyped |
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97 | (1) |
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Maximum Likelihood Estimation of QTL Effects on Categorical Traits |
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98 | (2) |
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Estimation of QTL Effects with the Threshold Model |
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100 | (1) |
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Estimation of QTL Effects on Disease Traits by the Allele-sharing Method |
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101 | (1) |
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101 | (2) |
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Analysis of QTL as Random Effects |
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103 | (19) |
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103 | (1) |
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ML Estimation of Variance Components for the Haseman-Elston Sib-pair Model |
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104 | (2) |
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The Random Gametic Model of Fernando and Grossman, Computing Gv |
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106 | (1) |
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Computing the Inverse of Gv |
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107 | (1) |
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Analysis of the Random Gametic Model by a Reduced Animal Model |
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108 | (2) |
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Analysis of the Random Gametic QTL Model with Multiple QTL and Marker Brackets |
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110 | (1) |
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Computation of the Gametic Effects Variance Matrix |
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110 | (1) |
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The Gametic Effect Model for Crosses Between Inbred Lines |
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111 | (1) |
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REML Estimation of the QTL Variance and Recombination for the Model of Fernando and Grossman |
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112 | (1) |
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REML Estimation of the QTL Variance and Location with Marker Brackets |
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113 | (1) |
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Bayesian Estimation of QTL Effects, Determining the Prior Distribution |
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114 | (3) |
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Formula for Bayesian Estimation and Tests of Significance of a Segregating QTL in a Simulated Granddaughter Design |
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117 | (2) |
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Comparison of ML and Bayesian Analyses of a Simulated Granddaughter Design |
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119 | (1) |
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Markov Chain Monte Carlo Algorithms, Gibbs Sampling |
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119 | (1) |
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120 | (2) |
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Statistical Power to Detect QTL, and Parameter Confidence Intervals |
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122 | (13) |
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122 | (1) |
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Estimation of Power in Crosses Between Inbred Lines |
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123 | (1) |
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Replicate Progeny in Crosses Between Inbred Lines |
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124 | (2) |
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Estimation of Power for Segregating Populations |
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126 | (2) |
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Power Estimates for Likelihood Ratio Tests: General Considerations |
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128 | (1) |
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The Effect of Statistical Methodology on the Power of QTL Detection |
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129 | (1) |
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Estimation of Power with Random QTL Models |
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130 | (1) |
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Confidence Intervals for QTL Parameters, Analytical Methods |
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130 | (2) |
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Simulation Studies of Confidence Intervals |
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132 | (1) |
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Empirical Methods to Estimate Confidence Intervals, Parametric and Nonparametric Bootstrap and Jackknife Methods |
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132 | (1) |
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133 | (2) |
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Optimization of Experimental Designs |
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135 | (10) |
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135 | (1) |
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Economic Optimization of Marker Spacing When the Number of Individuals Genotyped Is Non-limiting |
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135 | (1) |
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Economic Optimization with Replicate Progeny |
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136 | (1) |
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137 | (3) |
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Sample Pooling: General Considerations |
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140 | (1) |
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Estimation of Power with Sample Pooling |
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140 | (2) |
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Comparison of Power and Sample Sizes with Random Genotyping, Selective Genotyping and Sample Pooling |
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142 | (1) |
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143 | (1) |
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144 | (1) |
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145 | (14) |
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145 | (1) |
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Determination of the Genetic Map Critical Interval for a Marker Locus with a Saturated Genetic Marker Map |
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145 | (1) |
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Confidence Interval for QTL Location with a Saturated Genetic Marker Map |
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146 | (4) |
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Fine Mapping of QTL via Advanced Intercross Lines |
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150 | (1) |
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151 | (1) |
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Recombinant Progeny Testing |
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151 | (1) |
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Interval-specific Congenic Strains |
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152 | (1) |
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Recombinant Inbred Segregation Test |
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152 | (1) |
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Fine Mapping of QTL in Outcrossing Populations by Identity by Descent |
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153 | (1) |
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Estimation and Evaluation of Linkage Disequilibrium in Animal Populations |
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154 | (1) |
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Linkage Disequilibrium QTL Mapping, Basic Principles |
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155 | (1) |
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Linkage Disequilibrium Mapping, Advanced Topics |
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156 | (1) |
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157 | (2) |
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Complete Genome QTL Scans: The Problem of Multiple Comparisons |
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159 | (14) |
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159 | (1) |
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Multiple Markers and Whole-genome Scans |
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159 | (2) |
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QTL Detection by Permutation Tests |
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161 | (1) |
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QTL Detection Based on the False Discovery Rate |
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162 | (3) |
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A Priori Determination of the Proportion of False Positives |
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165 | (1) |
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Analysis of Multiple Pedigrees |
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166 | (1) |
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Biases with Estimation of Multiple QTL |
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167 | (1) |
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Bayesian Estimation of QTL from Whole-genome Scans, Theory |
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168 | (3) |
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Bayesian Estimation of QTL from Whole-genome Scans, Simulation Results |
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171 | (1) |
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172 | (1) |
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173 | (13) |
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173 | (1) |
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Problems and Solutions for Multitrait QTL Analyses |
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173 | (1) |
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Multivariate Estimation of QTL Parameters for Correlated Traits |
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174 | (1) |
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Comparison of Power for Single and Multitrait QTL Analyses |
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175 | (3) |
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Pleiotropy Versus Linkage |
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178 | (1) |
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Estimation of QTL Parameters for Correlated Traits by Canonical Transformation |
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179 | (1) |
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Determination of Statistical Significance for Multitrait Analyses |
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180 | (2) |
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Selective Genotyping with Multiple Traits |
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182 | (2) |
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184 | (1) |
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184 | (2) |
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186 | (8) |
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186 | (1) |
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The Molecular Basis of QTL Discovered So Far |
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187 | (1) |
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Determination of QTL Candidate Genes |
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188 | (1) |
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Determination of Concordance |
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189 | (1) |
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QTN Validation by Other Statistical Methods |
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190 | (2) |
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QTN Validation by Functional Studies |
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192 | (1) |
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193 | (1) |
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Principles of Selection Index and Traditional Breeding Programmes |
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194 | (10) |
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194 | (1) |
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Selection Index for a Single Trait |
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194 | (2) |
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Changes in QTL Allelic Frequencies Due to Selection |
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196 | (1) |
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Multitrait Selection Index |
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197 | (1) |
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The Value of Genetic Gain |
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198 | (1) |
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Dairy Cattle Breeding Programmes, Half-sib and Progeny Tests |
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199 | (3) |
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202 | (1) |
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203 | (1) |
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Marker-assisted Selection: Theory |
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204 | (12) |
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204 | (1) |
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Situations in which Selection Index Is Inefficient |
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204 | (1) |
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Potential Contribution of MAS for Selection Within a Breed: General Considerations |
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205 | (1) |
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Phenotypic Selection Versus MAS for Individual Selection |
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206 | (1) |
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MAS for Sex-limited Traits |
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207 | (1) |
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Two-stage Selection: MAS on Juveniles, and Phenotypic Selection of Adults |
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207 | (1) |
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MAS Including Marker and Phenotypic Information on Relatives |
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208 | (1) |
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Maximum Selection Efficiency of MAS with All QTL Known, Relative to Trait-based Selection, and the Reduction in RSE Due to Sampling Variance |
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209 | (1) |
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Marker Information in Segregating Populations |
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210 | (1) |
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Inclusion of Marker Information in `Animal Model' Genetic Evaluations |
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210 | (2) |
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Genetic Evaluation Based on Dense Whole-genome Scans |
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212 | (2) |
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Velogenetics: the Synergistic Use of MAS and Germ-line Manipulation |
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214 | (1) |
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215 | (1) |
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Marker-assisted Selection: Current Status and Results of Simulation Studies |
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216 | (16) |
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216 | (1) |
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Modelling the Polygenic Variance |
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216 | (1) |
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The Effective Number of QTL |
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217 | (1) |
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Proposed Dairy Cattle Breeding Schemes with MAS: Overview |
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218 | (1) |
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Inclusion of Marker Information into Standard Progeny Test and MOET Nucleus Breeding Schemes |
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219 | (1) |
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Progeny Test Schemes, in Which Information on Genetic Markers is Used to Preselect Young Sires |
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220 | (2) |
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The Current Status of MAS in Dairy Cattle |
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222 | (1) |
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Selection of Sires Based on Marker Information Without a Progeny Test |
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223 | (1) |
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Computation of Reliabilities of Genetic Evaluations Based on Complete Genome Scans |
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224 | (1) |
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Long-term Considerations, MAS Versus Selection Index |
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225 | (3) |
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MAS for a Multitrait Breeding Objective with a Single Identified QTL |
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228 | (2) |
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MAS for a Multitrait Breeding Objective with Multiple Identified QTL |
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230 | (1) |
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231 | (1) |
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Marker-assisted Introgression |
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232 | (6) |
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232 | (1) |
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Marker-assisted Introgression: General Considerations |
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233 | (1) |
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Marker-assisted Introgression of a Major Gene into an Inbred Line |
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234 | (1) |
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Marker-assisted Introgression of a QTL into a Donor Population Under Selection |
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235 | (2) |
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Marker-assisted Introgression for Multiple Genes |
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237 | (1) |
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237 | (1) |
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238 | (6) |
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238 | (4) |
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242 | (1) |
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243 | (1) |
| References |
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244 | (14) |
| Author Index |
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258 | (3) |
| Subject Index |
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261 | |