Linear models for the prediction of animal breeding values:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wallingford
CAB Internat.
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 187 S. |
| ISBN: | 0851989969 |
Internformat
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| 245 | 1 | 0 | |a Linear models for the prediction of animal breeding values |c R. A. Mrode |
| 264 | 1 | |a Wallingford |b CAB Internat. |c 1996 | |
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| 650 | 4 | |a Bétail - Génétique - Méthodes statistiques | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Livestock |x Breeding |x Mathematical models | |
| 650 | 4 | |a Livestock |x Breeding |x Statistical methods | |
| 650 | 4 | |a Livestock |x Genetics |x Mathematical models | |
| 650 | 4 | |a Livestock |x Genetics |x Statistical methods | |
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Datensatz im Suchindex
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|---|---|
| adam_text | LINEAR MODELS FOR THE PREDICTION OF ANIMAL BREEDING VALUES R.A. MRODE,
PHD ANIMAL DATA CENTRE FOX TALBOT HOUSE GREENWAYS BUSINESS PARK
BELLINGER CLOSE CHIPPENHAM WILTS, UK CAB INTERNATIONAL CONTENTS PREFACE
IX 1 GENETIC EVALUATION WITH DIFFERENT SOURCES OF RECORDS 1 1.1 THE
BASIC MODEL 1 1.2 BREEDING-VALUE PREDICTION FROM THE ANIMAL S OWN
PERFORMANCE 3 1.2.1 SINGLE RECORD 3 1.2.2 REPEATED RECORDS 4 1.3
BREEDING-VALUE PREDICTION FROM PROGENY RECORDS 7 1.4 BREEDING-VALUE
PREDICTION FROM PEDIGREE 10 1.5 BREEDING-VALUE PREDICTION FOR ONE TRAIT
FROM ANOTHER 12 1.6 SELECTION INDEX 13 1.6.1 ACCURACY OF INDEX 14 1.6.2
EXAMPLES OF SELECTION INDICES USING DIFFERENT SOURCES OF INFORMATION 16
1.6.3 PREDICTION OF AGGREGATE GENOTYPE 19 1.6.4 RESTRICTED SELECTION
INDEX 22 2 GENETIC COVARIANCE BETWEEN RELATIVES 24 2.1 THE NUMERATOR
RELATIONSHIP MATRIX 24 2.2 DECOMPOSING THE RELATIONSHIP MATRIX 26 2.3
COMPUTING THE INVERSE OF THE RELATIONSHIP MATRIX 28 2.3.1 INVERSE OF THE
RELATIONSHIP MATRIX IGNORING INBREEDING 29 2.3.2 INVERSE OF THE
RELATIONSHIP MATRIX TAKING INBREEDING INTO ACCOUNT 31 2.4 INVERSE OF THE
RELATIONSHIP MATRIX FOR SIRES AND MATERNAL GRANDSIRES 33 VI CONTENTS
2.4.1 AN EXAMPLE OF THE INVERSE OF THE RELATIONSHIP MATRIX FOR SIRES AND
MATERNAL GRANDSIRES 35 3 BEST LINEAR UNBIASED PREDICTION OF BREEDING
VALUE: UNIVARIATE MODELS WITH ONE RANDOM EFFECT 37 3.1 BRIEF THEORETICAL
BACKGROUND 38 3.2 A MODEL FOR AN ANIMAL EVALUATION (ANIMAL MODEL) 40
3.2.1 CONSTRUCTING THE MIXED-MODEL EQUATIONS 41 3.2.2 ACCURACY OF
EVALUATIONS 46 3.3 A SIRE MODEL 48 3.3.1 AN ILLUSTRATION 49 3.4 REDUCED
ANIMAL MODEL 51 3.4.1 DEFINING THE MODEL 52 3.4.2 AN ILLUSTRATION 54
3.4.3 AN ALTERNATIVE APPROACH 58 3.5 ANIMAL MODEL WITH GROUPS 59 3.5.1
AN ILLUSTRATION 61 4 BEST LINEAR UNBIASED PREDICTION OF BREEDING VALUE:
MODELS WITH RANDOM ENVIRONMENTAL EFFECTS 67 4.1 REPEATABILITY MODEL 67
4.1.1 DENNING THE MODEL 68 4.1.2 AN ILLUSTRATION 69 4.2 MODEL WITH
COMMON ENVIRONMENTAL EFFECTS 73 4.2.1 DEFINING THE MODEL 73 4.2.2 AN
ILLUSTRATION 74 5 BEST LINEAR UNBIASED PREDICTION OF BREEDING VALUE:
MULTIVARIATE ANIMAL MODELS 77 5.1 EQUAL DESIGN MATRICES AND NO MISSING
RECORDS 78 5.1.1 DEFINING THE MODEL 78 5.1.2 AN ILLUSTRATION 80 5.2
CANONICAL TRANSFORMATION 84 5.2.1 THE MODEL 85 5.2.2 AN ILLUSTRATION 86
5.3 EQUAL DESIGN MATRICES WITH MISSING RECORDS 88 5.3.1 AN ILLUSTRATION
88 5.4 CHOLESKY TRANSFORMATION 90 5.4.1 CALCULATING THE TRANSFORMATION
MATRIX AND DEFINING THE MODEL 91 5.4.2 AN ILLUSTRATION 92 5.5 UNEQUAL
DESIGN MATRICES 94 5.5.1 AN ILLUSTRATION 94 5.6 DIFFERENT TRAITS
RECORDED ON RELATIVES 97 5.6.1 DEFINING THE MODEL 97 CONTENTS VII 5.6.2
AN ILLUSTRATION 98 6 MATERNAL-TRAIT MODELS: ANIMAL AND REDUCED ANIMAL
MODELS 100 6.1 ANIMAL MODEL FOR A MATERNAL TRAIT 101 6.1.1 AN
ILLUSTRATION 102 6.2 REDUCED ANIMAL MODEL WITH MATERNAL EFFECTS 106
6.2.1 AN ILLUSTRATION 108 6.3 MULTIVARIATE MATERNAL ANIMAL MODEL 112 7
NON-ADDITIVE ANIMAL MODELS 114 7.1 DOMINANCE RELATIONSHIP MATRIX 114 7.2
ANIMAL MODEL WITH DOMINANCE EFFECTS 115 7.2.1 SOLVING FOR ANIMAL AND
DOMINANCE GENETIC EFFECTS SEPARATELY 116 7.2.2 SOLVING FOR TOTAL GENETIC
MERIT DIRECTLY 118 7.3 METHOD FOR RAPID INVERSION OF THE DOMINANCE
MATRIX 119 7.3.1 INVERSE OF THE RELATIONSHIP MATRIX FOR SUBCLASS EFFECTS
121 7.3.2 PREDICTION OF DOMINANCE EFFECTS 123 7.3.3 CALCULATING THE
INVERSE OF THE RELATIONSHIP MATRIX AMONG DOMINANCE AND SUBCLASS EFFECTS
FOR AN EXAMPLE PEDIGREE 123 7.4 EPISTATIS 126 7.4.1 RULES FOR THE
INVERSE OF THE RELATIONSHIP MATRIX FOR EPISTATIC AND SUBCLASS EFFECTS
127 7.4.2 CALCULATING THE INVERSE OF THE RELATIONSHIP MATRIX FOR
EPISTATIC AND SUBCLASS EFFECTS FOR AN EXAMPLE PEDIGREE 128 8 SOLVING
LINEAR EQUATIONS 130 8.1 DIRECT INVERSION 130 8.2 ITERATION ON THE
MIXED-MODEL EQUATIONS 131 8.2.1 JACOBI ITERATION 131 8.2.2 GAUSS-SEIDEL
ITERATION 134 8.3 ITERATING ON THE DATA 135 8.3.1 ANIMAL MODEL WITHOUT
GROUPS 138 8.3.2 ANIMAL MODEL WITH GROUPS 142 8.3.3 REDUCED ANIMAL MODEL
WITH MATERNAL EFFECTS 145 APPENDIX A: INTRODUCTORY MATRIX ALGEBRA 155
A.1 MATRIX: A DEFINITION 155 A.2 SPECIAL MATRICES 156 A.2.1 SQUARE
MATRIX 156 A.2.2 DIAGONAL MATRIX 156 A.2.3 TRIANGULAR MATRIX ** 157
A.2.4 SYMMETRIC MATRIX 157 VIII CONTENTS A.3 BASIC MATRIX OPERATIONS 157
A.3.1 TRANSPOSE OF A MATRIX 157 A.3.2 MATRIX ADDITION AND SUBTRACTION
158 A.3.3 MATRIX MULTIPLICATION 158 A.3.4 DIRECT PRODUCT OF MATRICES 159
A.3.5 MATRIX INVERSION 159 A.3.6 RANK OF A MATRIX 161 A.3.7 GENERALIZED
INVERSES 161 A.3.8 EIGENVALUES AND EIGENVECTORS 162 APPENDIX B: RECENT
FAST ALGORITHMS FOR CALCULATING INBREEDING BASED ON THE L MATRIX 163 B.I
MEUWISSEN AND LUO ALGORITHM 163 B.I.I ILLUSTRATION OF THE ALGORITHM 164
B.2 MODIFIED MEUWISSEN AND LUO ALGORITHM 166 B.2.1 ILLUSTRATION OF THE
ALGORITHM 168 APPENDIX C 170 C.I OUTLINE OF THE DERIVATION OF THE BEST
LINEAR UNBIASED PREDICTION (BLUP) ^ 170 C.2 PROOF THAT B AND A FROM
MIXED-MODEL EQUATIONS ARE THE GENERALIZED LEAST-SQUARE SOLUTION OF B AND
BEST LINEAR UNBIASED PREDICTION OF A RESPECTIVELY 171 APPENDIX D: A
METHOD FOR OBTAINING APPROXIMATE RELIABILITY FOR GENETIC EVALUATIONS
UNDER AN ANIMAL MODEL 173 APPENDIX E 176 E.I CANONICAL TRANSFORMATION:
PROCEDURE TO CALCULATE THE TRANSFORMATION MATRIX AND ITS INVERSE 176 E.2
CANONICAL TRANSFORMATION WITH MISSING RECORDS AND SAME-INCIDENCE
MATRICES 177 E.2.1 ILLUSTRATION 179 E.3 CHOLESKY DECOMPOSITION 181
REFERENCES 182 INDEX 185
|
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| callnumber-subject | SF - Animal Culture |
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| ctrlnum | (OCoLC)34676553 (DE-599)BVBBV010835786 |
| dewey-full | 636.082015195 |
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| dewey-search | 636.082015195 |
| dewey-sort | 3636.082015195 |
| dewey-tens | 630 - Agriculture and related technologies |
| discipline | Agrarwissenschaft Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau |
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| id | DE-604.BV010835786 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:59:43Z |
| institution | BVB |
| isbn | 0851989969 |
| language | English |
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| physical | X, 187 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | CAB Internat. |
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| spelling | Mrode, R. A. Verfasser aut Linear models for the prediction of animal breeding values R. A. Mrode Wallingford CAB Internat. 1996 X, 187 S. txt rdacontent n rdamedia nc rdacarrier Bétail - Amélioration - Modèles mathématiques Bétail - Amélioration - Méthodes statistiques Bétail - Génétique - Modèles mathématiques Bétail - Génétique - Méthodes statistiques Mathematisches Modell Livestock Breeding Mathematical models Livestock Breeding Statistical methods Livestock Genetics Mathematical models Livestock Genetics Statistical methods Lineares Modell (DE-588)4134827-8 gnd rswk-swf Zuchtwertschätzung (DE-588)4121957-0 gnd rswk-swf Zuchtwertschätzung (DE-588)4121957-0 s Lineares Modell (DE-588)4134827-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007242786&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mrode, R. A. Linear models for the prediction of animal breeding values Bétail - Amélioration - Modèles mathématiques Bétail - Amélioration - Méthodes statistiques Bétail - Génétique - Modèles mathématiques Bétail - Génétique - Méthodes statistiques Mathematisches Modell Livestock Breeding Mathematical models Livestock Breeding Statistical methods Livestock Genetics Mathematical models Livestock Genetics Statistical methods Lineares Modell (DE-588)4134827-8 gnd Zuchtwertschätzung (DE-588)4121957-0 gnd |
| subject_GND | (DE-588)4134827-8 (DE-588)4121957-0 |
| title | Linear models for the prediction of animal breeding values |
| title_auth | Linear models for the prediction of animal breeding values |
| title_exact_search | Linear models for the prediction of animal breeding values |
| title_full | Linear models for the prediction of animal breeding values R. A. Mrode |
| title_fullStr | Linear models for the prediction of animal breeding values R. A. Mrode |
| title_full_unstemmed | Linear models for the prediction of animal breeding values R. A. Mrode |
| title_short | Linear models for the prediction of animal breeding values |
| title_sort | linear models for the prediction of animal breeding values |
| topic | Bétail - Amélioration - Modèles mathématiques Bétail - Amélioration - Méthodes statistiques Bétail - Génétique - Modèles mathématiques Bétail - Génétique - Méthodes statistiques Mathematisches Modell Livestock Breeding Mathematical models Livestock Breeding Statistical methods Livestock Genetics Mathematical models Livestock Genetics Statistical methods Lineares Modell (DE-588)4134827-8 gnd Zuchtwertschätzung (DE-588)4121957-0 gnd |
| topic_facet | Bétail - Amélioration - Modèles mathématiques Bétail - Amélioration - Méthodes statistiques Bétail - Génétique - Modèles mathématiques Bétail - Génétique - Méthodes statistiques Mathematisches Modell Livestock Breeding Mathematical models Livestock Breeding Statistical methods Livestock Genetics Mathematical models Livestock Genetics Statistical methods Lineares Modell Zuchtwertschätzung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007242786&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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