Geostatistics and Statistical Analysis in Geography

  1. Advanced Topics in Geostatistics
    1. Spatio-temporal Analysis
      1. Spatio-temporal Data Structures
        1. Space-Time Data Types
          1. Temporal Sampling Schemes
            1. Data Organization
            2. Space-Time Modeling
              1. Separable Models
                1. Non-separable Models
                  1. Metric and Product-Sum Models
                  2. Space-Time Variography
                    1. Spatio-temporal Semivariograms
                      1. Anisotropy in Space and Time
                        1. Model Fitting
                        2. Space-Time Kriging
                          1. Incorporating Temporal Autocorrelation
                            1. Prediction in Space and Time
                              1. Uncertainty Quantification
                              2. Emerging Hot Spot Analysis
                                1. Mann-Kendall Trend Test
                                  1. Space-Time Cubes
                                2. Geostatistical Simulation
                                  1. Conditional vs Unconditional Simulation
                                    1. Definitions and Differences
                                      1. Honoring Data Values
                                        1. Reproducing Spatial Structure
                                        2. Purpose of Simulation
                                          1. Uncertainty Assessment
                                            1. Risk Analysis
                                              1. Scenario Generation
                                                1. Decision Support
                                                2. Simulation Algorithms
                                                  1. Sequential Gaussian Simulation
                                                    1. Algorithm Steps
                                                      1. Random Path
                                                        1. Conditioning Data
                                                        2. Turning Bands Simulation
                                                          1. Algorithm Steps
                                                            1. Line Processes
                                                              1. Rotation and Projection
                                                              2. Simulated Annealing
                                                                1. Objective Functions
                                                                  1. Cooling Schedules
                                                                  2. Multiple-Point Statistics
                                                                    1. Training Images
                                                                      1. Pattern Recognition
                                                                    2. Post-Processing
                                                                      1. Ensemble Statistics
                                                                        1. Probability Maps
                                                                          1. Quantile Maps
                                                                        2. Multivariate Geostatistics
                                                                          1. Co-kriging
                                                                            1. Use of Multiple Variables
                                                                              1. Cross-Correlation Structure
                                                                                1. Undersampling Problem
                                                                                  1. Collocated Co-kriging
                                                                                  2. Cross-variography
                                                                                    1. Cross-semivariogram Calculation
                                                                                      1. Linear Model of Coregionalization
                                                                                        1. Intrinsic Correlation
                                                                                        2. Principal Component Analysis
                                                                                          1. Dimensionality Reduction
                                                                                            1. Spatial Interpretation of Components
                                                                                              1. Minimum/Maximum Autocorrelation Factors
                                                                                              2. Canonical Correlation Analysis
                                                                                                1. Independent Component Analysis
                                                                                                2. Non-Gaussian Geostatistics
                                                                                                  1. Trans-Gaussian Kriging
                                                                                                    1. Normal Score Transform
                                                                                                      1. Back-transformation
                                                                                                      2. Indicator Geostatistics
                                                                                                        1. Multiple Thresholds
                                                                                                          1. Order Relations
                                                                                                            1. Probability Estimation
                                                                                                            2. Plurigaussian Simulation
                                                                                                              1. Multiple Gaussian Random Functions
                                                                                                                1. Lithotype Rules
                                                                                                              2. Bayesian Geostatistical Modeling
                                                                                                                1. Hierarchical Models
                                                                                                                  1. Model Structure
                                                                                                                    1. Prior Distributions
                                                                                                                      1. Hyperparameters
                                                                                                                      2. Markov Chain Monte Carlo Methods
                                                                                                                        1. Gibbs Sampling
                                                                                                                          1. Metropolis-Hastings Algorithm
                                                                                                                            1. Convergence Diagnostics
                                                                                                                            2. Model Selection
                                                                                                                              1. Deviance Information Criterion
                                                                                                                                1. Bayes Factors
                                                                                                                                  1. Cross-Validation

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                                                                                                                              6. Spatial Regression Analysis

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                                                                                                                              8. Practical Considerations and Applications