| Preface: Welcome to the "Promised Land" |
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| Chapter 1 Historical Overview |
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1 | (6) |
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1 | (1) |
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The Mendelian Theory of Genetics |
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1 | (1) |
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The Mendelian Basis of Quantitative Variation |
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2 | (1) |
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Detection of QTL with Morphological and Biochemical Markers |
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2 | (1) |
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DNA-Level Markers, 1974-1994 |
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3 | (1) |
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DNA-Level Markers Since 1995: SNPs and CNV |
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4 | (1) |
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QTL Detection Prior to Genomic Selection |
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4 | (1) |
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MAS Prior to Genomic Selection |
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5 | (1) |
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6 | (1) |
| Chapter 2 Types of Current Genetic Markers and Genotyping Methodologies |
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7 | (4) |
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7 | (1) |
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From Biochemical Markers to DNA-Level Markers |
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7 | (1) |
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8 | (1) |
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Single Nucleotide Polymorphisms |
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8 | (1) |
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9 | (1) |
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Complete Genome Sequencing |
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9 | (1) |
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10 | (1) |
| Chapter 3 Advanced Animal Breeding Programs Prior to Genomic Selection |
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11 | (6) |
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11 | (1) |
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Within a Breed Selection: Basic Principles and Equations |
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11 | (1) |
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Traditional Selection Schemes for Dairy Cattle |
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12 | (2) |
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Crossbreeding Schemes: Advantages and Disadvantages |
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14 | (1) |
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15 | (2) |
| Chapter 4 Economic Evaluation of Genetic Breeding Programs |
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17 | (4) |
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17 | (1) |
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National Economy versus Competition among Breeders |
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17 | (1) |
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Criteria for Economic Evaluation: Profit Horizon, Interest Rate, and Return on Investment |
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18 | (2) |
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20 | (1) |
| Chapter 5 Least Squares, Maximum Likelihood, and Bayesian Parameter Estimation |
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21 | (10) |
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21 | (1) |
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Least Squares Parameter Estimation |
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21 | (1) |
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ML Estimation for a Single Parameter |
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22 | (2) |
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ML Multiparameter Estimation |
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24 | (2) |
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Methods to Maximize Likelihood Functions |
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26 | (1) |
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Confidence Intervals and Hypothesis Testing for MLE |
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26 | (1) |
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27 | (1) |
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Parameter Estimation via the Gibbs Sampler |
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28 | (1) |
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29 | (2) |
| Chapter 6 Trait-Based Genetic Evaluation: The Mixed Model |
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31 | (12) |
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31 | (1) |
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Principles of Selection Index |
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31 | (3) |
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34 | (1) |
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The Mixed Model Equations |
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34 | (1) |
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Solving the Mixed Model Equations |
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35 | (1) |
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Important Properties of Mixed Model Solutions |
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36 | (1) |
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Multivariate Mixed Model Analysis |
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37 | (1) |
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The Individual Animal Model |
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38 | (1) |
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Yield Deviations and Daughter Yield Deviations |
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39 | (1) |
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Analysis of DYD as the Dependent Variable |
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40 | (1) |
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41 | (2) |
| Chapter 7 Maximum Likelihood and Bayesian Estimation of QTL Parameters with Random Effects Included in the Model |
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43 | (8) |
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43 | (1) |
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Maximum Likelihood Estimation of QTL Effects with Random Effects Included in the Model, the Daughter Design |
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43 | (2) |
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45 | (1) |
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Determination of Prior Distributions of the QTL Parameters for the Granddaughter Design |
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46 | (3) |
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Formula for Bayesian Estimation and Tests of Significance of a Segregating QTL in a Granddaughter Design |
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49 | (1) |
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50 | (1) |
| Chapter 8 Maximum Likelihood, Restricted Maximum Likelihood, and Bayesian Estimation for Mixed Models |
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51 | (8) |
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51 | (1) |
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Derivation of Solutions to the Mixed Model Equations by Maximum Likelihood |
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51 | (1) |
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Estimation of the Mixed Model Variance Components |
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52 | (1) |
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Maximum Likelihood Estimation of Variance Components |
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52 | (2) |
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Restricted Maximum Likelihood Estimation of Variance Components |
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54 | (1) |
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Estimation of Variance Components via the Gibbs Sampler |
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55 | (3) |
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58 | (1) |
| Chapter 9 Distribution of Genetic Effects, Theory, and Results |
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59 | (10) |
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59 | (1) |
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Modeling the Polygenic Variance |
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59 | (2) |
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The Effective Number of QTL |
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61 | (1) |
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The Case of the Missing Heritability |
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61 | (1) |
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Methods for Determination of Causative Mutations for QTL in Animals and Humans |
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62 | (1) |
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Determination of QTN in Dairy Cattle |
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63 | (1) |
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Estimating the Number of Segregating QTL Based on Linkage Mapping Studies |
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64 | (1) |
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Results of Genome Scans of Dairy Cattle by Granddaughter Designs |
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65 | (1) |
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Results of Genome-Wide Association Studies in Dairy Cattle by SNP Chips |
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66 | (1) |
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66 | (3) |
| Chapter 10 The Multiple Comparison Problem |
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69 | (12) |
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69 | (1) |
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Multiple Markers and Whole Genome Scans |
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69 | (2) |
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QTL Detection by Permutation Tests |
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71 | (1) |
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QTL Detection Based on the False Discovery Rate |
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71 | (3) |
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A Priori Determination of the Proportion of False Positives |
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74 | (1) |
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Biases with Estimation of Multiple QTL |
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75 | (1) |
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Bayesian Estimation of QTL from Whole Genome Scans: Theory |
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76 | (1) |
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Bayes A and Bayes B Models |
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77 | (2) |
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Bayesian Estimation of QTL from Whole Genome Scans: Simulation Results |
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79 | (1) |
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80 | (1) |
| Chapter 11 Linkage Mapping of QTL |
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81 | (8) |
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81 | (1) |
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Interval Mapping by Nonlinear Regression: The Backcross Design |
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81 | (2) |
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Interval Mapping for Daughter and Granddaughter Designs |
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83 | (1) |
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Computation of Confidence Intervals |
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84 | (1) |
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Simulation Studies of CIs |
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85 | (1) |
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Empirical Methods to Estimate CIs, Parametric and Nonparametric Bootstrap, and Jackknife Methods |
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86 | (1) |
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87 | (2) |
| Chapter 12 Linkage Disequilibrium Mapping of QTL |
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89 | (6) |
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89 | (1) |
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Estimation of Linkage Disequilibrium in Animal Populations |
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89 | (1) |
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Linkage Disequilibrium QTL Mapping: Basic Principles |
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90 | (2) |
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Joint Linkage and Linkage Disequilibrium Mapping |
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92 | (1) |
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Multitrait and Multiple QTL LD Mapping |
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93 | (1) |
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93 | (2) |
| Chapter 13 Marker-Assisted Selection: Basic Strategies |
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95 | (8) |
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95 | (1) |
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Situations in Which Selection Index is Inefficient |
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95 | (1) |
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Potential Contribution of MAS for Selection within a Breed: General Considerations |
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96 | (1) |
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Phenotypic Selection versus MAS for Individual Selection |
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97 | (1) |
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MAS for Sex-Limited Traits |
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98 | (1) |
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MAS Including Marker and Phenotypic Information on Relatives |
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99 | (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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99 | (1) |
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Marker Information in Segregating Populations |
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100 | (1) |
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Inclusion of Marker Information in "Animal Model" Genetic Evaluations |
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100 | (1) |
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Predicted Genetic Gains with Genomic Estimated Breeding Values: Results of Simulation Studies |
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101 | (1) |
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102 | (1) |
| Chapter 14 Genetic Evaluation Based on Dense Marker Maps: Basic Strategies |
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103 | (8) |
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103 | (1) |
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The Basic Steps in Genomic Evaluation |
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103 | (1) |
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Evaluation of Genomic Estimated Breeding Values |
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104 | (1) |
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Sources of Bias in Genomic Evaluation |
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104 | (1) |
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Marker Effects Fixed or Random? |
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105 | (1) |
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Individual Markers versus Haplotypes |
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106 | (1) |
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Total Markers versus Usable Markers |
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106 | (1) |
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Deviation of Genotype Frequencies from Their Expectations |
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107 | (1) |
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Inclusion of All Markers versus Selection of Markers with Significant Effects |
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107 | (1) |
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The Genomic Relationship Matrix |
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108 | (1) |
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109 | (2) |
| Chapter 15 Genetic Evaluation Based on Analysis of Genetic Evaluations or Daughter-Yield Evaluations |
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111 | (8) |
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111 | (1) |
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Comparison of Single-Step and Multistep Models |
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111 | (1) |
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Derivation and Properties of Daughter Yields and DYD |
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112 | (1) |
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Computation of "Deregressed" Genetic Evaluations |
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113 | (1) |
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Analysis of DYD as the Dependent Variable with All Markers Included as Random Effects |
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114 | (2) |
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Computation of Reliabilities for Genomic Estimated Breeding Values |
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116 | (1) |
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Bayesian Weighting of Marker Effects |
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116 | (1) |
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Additional Bayesian Methods for Genomic Evaluation |
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117 | (1) |
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117 | (2) |
| Chapter 16 Genomic Evaluation Based on Analysis of Production Records |
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119 | (6) |
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119 | (1) |
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Single-Step Methodologies: The Basic Strategy |
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119 | (1) |
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Computation of the Modified Relationship Matrix when only a Fraction of the Animals are Genotyped: The Problem |
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120 | (1) |
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Criteria for Valid Genetic Relationship Matrices |
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120 | (1) |
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Computation of the Modified Relationship Matrix when only a Fraction of the Animals are Genotyped, the Solution |
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121 | (1) |
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Solving the Mixed Model Equations without Inverting H |
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121 | (1) |
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Inverting the Genomic Relationship Matrix |
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122 | (1) |
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Estimation of Reliabilities for Genomic Breeding Values Derived by Single-Step Methodologies |
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122 | (1) |
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Single-Step Computation of Genomic Evaluations with Unequally Weighted Marker Effects |
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123 | (1) |
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124 | (1) |
| Chapter 17 Validation of Methods for Genomic Estimated Breeding Values |
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125 | (8) |
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125 | (1) |
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Criteria for Evaluation of Estimated Genetic Values |
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125 | (1) |
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Methods Used to Validate Genomic Genetic Evaluations |
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126 | (1) |
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Evaluation of Two-Step Methodology Based on Simulated Dairy Cattle Data |
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127 | (1) |
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Evaluation of Multistep Methodology Based on Actual Dairy Cattle Data |
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127 | (1) |
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Evaluation of Single-Step Methodologies Based on Actual Dairy Cattle Data |
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128 | (1) |
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Evaluation of Single- and Multistep Methodologies Based on Actual Poultry Data |
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129 | (1) |
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Evaluation of Single- and Multistep Methodologies Based on Actual Swine Data |
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130 | (1) |
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Evaluation of GEBV for Plants Based on Actual Data |
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130 | (1) |
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131 | (2) |
| Chapter 18 By-Products of Genomic Analysis: Pedigree Validation and Determination |
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133 | (6) |
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133 | (1) |
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The Effects of Incorrect Parentage Identification on Breeding Programs |
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133 | (1) |
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Principles of Parentage Verification and Identification with Genetic Markers |
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134 | (1) |
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Paternity Validation Prior to High-Density SNP Chips |
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135 | (1) |
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Paternity Validation and Determination with SNP Chips |
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135 | (1) |
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Validation of More Distant Relationships |
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136 | (1) |
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Pedigree Reconstruction with High-Density Genetic Markers |
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137 | (1) |
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137 | (2) |
| Chapter 19 Imputation of Missing Genotypes: Methodologies, Accuracies, and Effects on Genomic Evaluations |
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139 | (6) |
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139 | (1) |
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Determination of Haplotypes for Imputation |
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139 | (1) |
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Imputation in Humans versus Imputation in Farm Animals |
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140 | (1) |
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Algorithms Proposed for Imputation in Human and Animal Populations |
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141 | (1) |
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Comparisons of Accuracy and Speed of Imputation Methods |
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142 | (1) |
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Effect of Imputation on Genomic Genetic Evaluations |
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143 | (1) |
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144 | (1) |
| Chapter 20 Detection and Validation of Quantitative Trait Nucleotides |
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145 | (8) |
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145 | (1) |
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GWAS for Economic Traits in Commercial Animals |
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146 | (1) |
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Detection of QTN: Is It Worth the Effort? |
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146 | (1) |
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QTN Determination in Farm Animals: What Constitutes Proof? |
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147 | (1) |
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Concordance between DNA-Level Genotypes and QTL Status |
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148 | (1) |
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Determination of Concordance by the "APGD" |
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148 | (1) |
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Determination of Phase for Grandsires Heterozygous for the QTL |
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149 | (1) |
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Determination of Recessive Lethal Genes by GWAS and Effects Associated with Heterozygotes |
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150 | (1) |
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Verification of QTN by Statistical and Biological Methods |
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150 | (1) |
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151 | (2) |
| Chapter 21 Future Directions and Conclusions |
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153 | (6) |
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153 | (1) |
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More Markers versus More Individuals with Genotypes |
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153 | (1) |
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Computation of Genomic Evaluations for Cow and Female Calves |
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154 | (1) |
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Improvement of Genomic Evaluation Methods |
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154 | (1) |
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155 | (1) |
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Weighting Evaluations of Old versus Young Bulls |
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156 | (1) |
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Direct Genetic Manipulation in Farm Animals |
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156 | (1) |
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Velogenetics: The Synergistic Use of MAS and Germ-Line Manipulation |
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157 | (1) |
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157 | (2) |
| References |
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159 | (12) |
| Index |
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171 | |