2019Medical Entomology and ZoologyOpen access

GGE Biplot Analysis: A Graphical Tool for Breeders, Geneticists, and Agronomists

Weikai Yan, Manjit S. Kang

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Abstract

GENOTYPE-BY-ENVIRONMENT INTERACTION AND STABILITY ANALYSIS Genotype-by-Environment Interaction Heredity and Environment Genotype-by-Environment Interaction Implications of GEI in Crop Breeding Causes of Genotype-by-Environment Interaction Stability Analyses in Plant Breeding and Performance Trials Stability Analysis in Plant Breeding and Performance Trials Stability Concepts and Statistics Dealing with Genotype-by-Environment Interaction GGE Biplot: Genotype + GE Interaction GGE BIPLOT AND MULTI-ENVIRONMENTAL TRIAL ANALYSIS Theory of Biplot The Concept of Biplot The Inner-Product Property of a Biplot Visualizing the Biplot Relationships among Columns and among Rows Biplot Analysis of Two-Way Data Introduction to GGE Biplot The Concept of GGE and GGE Biplot The Basic Model for a GGE Biplot Methods of Singular Value Partitioning An Alternative Model for GGE Biplot Three Types of Data Transformation Generating a GGE Biplot Using Conventional Methods Biplot Analysis of Multi-Environment Trial Data Objectives of Multi-Environment Trial Data Analysis Simple Comparisons Using GGE Biplot Mega-Environment Investigation Cultivar Evaluation for a Given Mega-Environment Evaluation of Test Environments Comparison with the AMMI Biplot Interpreting Genotype-by-Environment Interaction GGE BIPLOT SOFTWARE AND APPLICATIONS TO OTHER TYPES OF TWO-WAY DATA GGE Biplot Software-The Solution for GGE Biplot Analyses The Need for GGE Biplot Software The Terminology of Entries and Testers Preparing Data File for GGE Biplot Organization of GGE Biplot Software Functions for a Genotype-by-Environment Dataset Function for a Genotype-by-Strain Dataset Application of GGE Biplot to Other Types of Two-way Data GGE Biplot Continues to Evolve Cultivar Evaluation Based on Multiple Traits Why Multiple Traits? Cultivar Evaluation Based on Multiple Traits Identifying Traits for Indirect Selection for Loaf Volume Identification of Redundant Traits Comparing Cultivars as Packages of Traits Investigation of Different Selection Strategies Systems Understanding of Crop Improvement Three-Mode Principal Component Analysis and Visualization QTL Identification Using GGE Biplot Why Biplot? Data Source and Model Grouping of Linked Markers Gene Mapping Using Biplot QTL Identification via GGE Biplot Interconnectedness among Traits and Pleiotropic Effects of a Given Locus Understanding DH Lines through the Biplot Pattern QTL and GE Interaction Biplot Analysis of Diallel Data Model for Biplot Analysis of Diallel Data General Combining Ability of Parents Specific Combining Ability of Parents Heterotic Groups The Best Testers for Assessing General Combining Ability of Parents The Best Crosses Hypothesis on the Genetic Constitution of Parents Targeting a Large Dataset Advantages and Disadvantages of the Biplot Approach Biplot Analysis of Host Genotype-by-Pathogen Strain Interactions Vertical vs. Horizontal Resistance Genotype-By-Strain Interaction for a Barley Net Blotch Genotype-by-Strain Interaction for Wheat Fusarium Head Blight Biplot Analysis to Detect Synergism between Genotypes of Different Species Genotype-by-Strain Interaction for Nitrogen-Fixation Wheat-Maize Interaction for Wheat Haploid Embryo Formation References Index

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GENOTYPE-BY-ENVIRONMENT INTERACTION AND STABILITY ANALYSIS Genotype-by-Environment Interaction Heredity and Environment Genotype-by-Environment Interaction Implications of GEI in Crop Breeding Causes of Genotype-by-Environment Interaction Stability Analyses in Plant Breeding and Performance Trials Stability Analysis in Plant Breeding and Performance Trials Stability Concepts and Statistics Dealing with Genotype-by-Environment Interaction GGE Biplot: Genotype + GE Interaction GGE BIPLOT AND MULTI-ENVIRONMENTAL TRIAL ANALYSIS Theory of Biplot The Concept of Biplot The Inner-Product Property of a Biplot Visualizing the Biplot Relationships among Columns and among Rows Biplot Analysis of Two-Way Data Introduction to GGE Biplot The Concept of GGE and GGE Biplot The Basic Model for a GGE Biplot Methods of Singular Value Partitioning An Alternative Model for GGE Biplot Three Types of Data Transformation Generating a GGE Biplot Using Conventional Methods Biplot Analysis of Multi-Environment Trial Data Objectives of Multi-Environment Trial Data Analysis Simple Comparisons Using GGE Biplot Mega-Environment Investigation Cultivar Evaluation for a Given Mega-Environment Evaluation of Test Environments Comparison with the AMMI Biplot Interpreting Genotype-by-Environment Interaction GGE BIPLOT SOFTWARE AND APPLICATIONS TO OTHER TYPES OF TWO-WAY DATA GGE Biplot Software-The Solution for GGE Biplot Analyses The Need for GGE Biplot Software The Terminology of Entries and Testers Preparing Data File for GGE Biplot Organization of GGE Biplot Software Functions for a Genotype-by-Environment Dataset Function for a Genotype-by-Strain Dataset Application of GGE Biplot to Other Types of Two-way Data GGE Biplot Continues to Evolve Cultivar Evaluation Based on Multiple Traits Why Multiple Traits? Cultivar Evaluation Based on Multiple Traits Identifying Traits for Indirect Selection for Loaf Volume Identification of Redundant Traits Comparing Cultivars as Packages of Traits Investigation of Different Selection Strategies Systems Understanding of Crop Improvement Three-Mode Principal Component Analysis and Visualization QTL Identification Using GGE Biplot Why Biplot? Data Source and Model Grouping of Linked Markers Gene Mapping Using Biplot QTL Identification via GGE Biplot Interconnectedness among Traits and Pleiotropic Effects of a Given Locus Understanding DH Lines through the Biplot Pattern QTL and GE Interaction Biplot Analysis of Diallel Data Model for Biplot Analysis of Diallel Data General Combining Ability of Parents Specific Combining Ability of Parents Heterotic Groups The Best Testers for Assessing General Combining Ability of Parents The Best Crosses Hypothesis on the Genetic Constitution of Parents Targeting a Large Dataset Advantages and Disadvantages of the Biplot Approach Biplot Analysis of Host Genotype-by-Pathogen Strain Interactions Vertical vs. Horizontal Resistance Genotype-By-Strain Interaction for a Barley Net Blotch Genotype-by-Strain Interaction for Wheat Fusarium Head Blight Biplot Analysis to Detect Synergism between Genotypes of Different Species Genotype-by-Strain Interaction for Nitrogen-Fixation Wheat-Maize Interaction for Wheat Haploid Embryo Formation References Index

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Available abstract

GENOTYPE-BY-ENVIRONMENT INTERACTION AND STABILITY ANALYSIS Genotype-by-Environment Interaction Heredity and Environment Genotype-by-Environment Interaction Implications of GEI in Crop Breeding Causes of Genotype-by-Environment Interaction Stability Analyses in Plant Breeding and Performance Trials Stability Analysis in Plant Breeding and Performance Trials Stability Concepts and Statistics Dealing with Genotype-by-Environment Interaction GGE Biplot: Genotype + GE Interaction GGE BIPLOT AND MULTI-ENVIRONMENTAL TRIAL ANALYSIS Theory of Biplot The Concept of Biplot The Inner-Product Property of a Biplot Visualizing the Biplot Relationships among Columns and among Rows Biplot Analysis of Two-Way Data Introduction to GGE Biplot The Concept of GGE and GGE Biplot The Basic Model for a GGE Biplot Methods of Singular Value Partitioning An Alternative Model for GGE Biplot Three Types of Data Transformation Generating a GGE Biplot Using Conventional Methods Biplot Analysis of Multi-Environment Trial Data Objectives of Multi-Environment Trial Data Analysis Simple Comparisons Using GGE Biplot Mega-Environment Investigation Cultivar Evaluation for a Given Mega-Environment Evaluation of Test Environments Comparison with the AMMI Biplot Interpreting Genotype-by-Environment Interaction GGE BIPLOT SOFTWARE AND APPLICATIONS TO OTHER TYPES OF TWO-WAY DATA GGE Biplot Software-The Solution for GGE Biplot Analyses The Need for GGE Biplot Software The Terminology of Entries and Testers Preparing Data File for GGE Biplot Organization of GGE Biplot Software Functions for a Genotype-by-Environment Dataset Function for a Genotype-by-Strain Dataset Application of GGE Biplot to Other Types of Two-way Data GGE Biplot Continues to Evolve Cultivar Evaluation Based on Multiple Traits Why Multiple Traits? Cultivar Evaluation Based on Multiple Traits Identifying Traits for Indirect Selection for Loaf Volume Identification of Redundant Traits Comparing Cultivars as Packages of Traits Investigation of Different Selection Strategies Systems Understanding of Crop Improvement Three-Mode Principal Component Analysis and Visualization QTL Identification Using GGE Biplot Why Biplot? Data Source and Model Grouping of Linked Markers Gene Mapping Using Biplot QTL Identification via GGE Biplot Interconnectedness among Traits and Pleiotropic Effects of a Given Locus Understanding DH Lines through the Biplot Pattern QTL and GE Interaction Biplot Analysis of Diallel Data Model for Biplot Analysis of Diallel Data General Combining Ability of Parents Specific Combining Ability of Parents Heterotic Groups The Best Testers for Assessing General Combining Ability of Parents The Best Crosses Hypothesis on the Genetic Constitution of Parents Targeting a Large Dataset Advantages and Disadvantages of the Biplot Approach Biplot Analysis of Host Genotype-by-Pathogen Strain Interactions Vertical vs. Horizontal Resistance Genotype-By-Strain Interaction for a Barley Net Blotch Genotype-by-Strain Interaction for Wheat Fusarium Head Blight Biplot Analysis to Detect Synergism between Genotypes of Different Species Genotype-by-Strain Interaction for Nitrogen-Fixation Wheat-Maize Interaction for Wheat Haploid Embryo Formation References Index

Key concepts: Biplot, Gene–environment interaction, Main effect, Mathematics, Statistics, Genotype, Biology, Genetics

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GGE Biplot Analysis: A Graphical Tool for Breeders, Geneticists, and Agronomists — Research Paper | ScholarLens