The book "Multivariate Geostatistics: An Introduction with Applications" by Dr. Hans Wackernagel is a comprehensive guide to the field of geostatistics, focusing on multivariate analysis. The third, completely revised edition includes 117 figures and 7 tables, and covers a wide range of topics from basic statistical concepts to advanced multivariate methods. Key sections include: 1. **Introduction**: Discusses the transition from statistics to geostatistics and the importance of spatially correlated data. 2. **Linear Regression and Simple Kriging**: Explains linear regression, variance-covariance matrices, and simple kriging. 3. **Kriging the Mean**: Introduces the arithmetic mean and its estimation variance. 4. **Geostatistics**: Covers regionalized variables, random functions, and variograms. 5. **Anisotropy**: Explores geometric anisotropy, anisotropy in 3D space, and zonal anisotropy. 6. **Extension and Dispersion Variance**: Discusses support and ordinary kriging. 7. **Kriging Weights**: Focuses on the geometry of kriging weights. 8. **Mapping with Kriging**: Describes spatial interpolation and neighborhood effects. 9. **Linear Model of Regionalization**: Discusses spatial anomalies and kriging spatial components. 10. **The Smoothness of Kriging**: Examines kriging with irregularly spaced data and sensitivity to variogram models. 11. **Multivariate Analysis**: Introduces principal component analysis and correspondence analysis. 12. **Multivariate Geostatistics**: Covers direct and cross covariances, covariance function matrices, and intrinsic multivariate correlation. 13. **Heterotopic Cokriging and Collocated Cokriging**: Discusses cokriging neighborhoods and collocated cokriging. 14. **Multivariate Nested Variogram**: Explains linear models of coregionalization and bivariate fitting. 15. **Case Study**: Provides a detailed case study of the Ebro Estuary, including kriging conductivity and cokriging chlorophyll. 16. **Coregionalization Analysis**: Introduces regionalized principal component analysis and coregionalization. 17. **Selective Geostatistics**: Discusses thresholds, selectivity curves, and Gaussian anamorphosis. 18. **Non-Stationary Geostatistics**: Covers external drift, universal kriging, and translation-invariant drift. The book is designed to be a valuable resource for researchers and practitioners in environmental, climatological, and ecological studies, providing both theoretical foundations and practical applications.The book "Multivariate Geostatistics: An Introduction with Applications" by Dr. Hans Wackernagel is a comprehensive guide to the field of geostatistics, focusing on multivariate analysis. The third, completely revised edition includes 117 figures and 7 tables, and covers a wide range of topics from basic statistical concepts to advanced multivariate methods. Key sections include: 1. **Introduction**: Discusses the transition from statistics to geostatistics and the importance of spatially correlated data. 2. **Linear Regression and Simple Kriging**: Explains linear regression, variance-covariance matrices, and simple kriging. 3. **Kriging the Mean**: Introduces the arithmetic mean and its estimation variance. 4. **Geostatistics**: Covers regionalized variables, random functions, and variograms. 5. **Anisotropy**: Explores geometric anisotropy, anisotropy in 3D space, and zonal anisotropy. 6. **Extension and Dispersion Variance**: Discusses support and ordinary kriging. 7. **Kriging Weights**: Focuses on the geometry of kriging weights. 8. **Mapping with Kriging**: Describes spatial interpolation and neighborhood effects. 9. **Linear Model of Regionalization**: Discusses spatial anomalies and kriging spatial components. 10. **The Smoothness of Kriging**: Examines kriging with irregularly spaced data and sensitivity to variogram models. 11. **Multivariate Analysis**: Introduces principal component analysis and correspondence analysis. 12. **Multivariate Geostatistics**: Covers direct and cross covariances, covariance function matrices, and intrinsic multivariate correlation. 13. **Heterotopic Cokriging and Collocated Cokriging**: Discusses cokriging neighborhoods and collocated cokriging. 14. **Multivariate Nested Variogram**: Explains linear models of coregionalization and bivariate fitting. 15. **Case Study**: Provides a detailed case study of the Ebro Estuary, including kriging conductivity and cokriging chlorophyll. 16. **Coregionalization Analysis**: Introduces regionalized principal component analysis and coregionalization. 17. **Selective Geostatistics**: Discusses thresholds, selectivity curves, and Gaussian anamorphosis. 18. **Non-Stationary Geostatistics**: Covers external drift, universal kriging, and translation-invariant drift. The book is designed to be a valuable resource for researchers and practitioners in environmental, climatological, and ecological studies, providing both theoretical foundations and practical applications.