Foreword; Contents; Contributors; Optimising Archaeologic Ceramics h-XRF Analyses; 1 Introduction; 2 Experimental Design; 2.1 Measurements Below Detection Limit; 2.2 Assessing the Accuracy of the Measurements; 3 Analysis; 4 Conclusions and Future Research; References; A Practical Guide to the Use of Major Elements, Trace Elements, and Isotopes in Compositional Data Analysis: Applications for Deep Formation Brine Geochemistry; 1 Introduction; 2 Treatment of Isotopic Data for Compositional Data Analysis; 3 Interpretation of Isotopic Data Using Ilr Transformed Subcompositions

4 The Simple Scaling Effect of Ilr Transformations on Low Log Ratio Variance (Isotope) or Low Concentration (Trace) Components5 Clr-Biplot Interpretation of Low Log Ratio Variance (Isotope) or Low Concentration (Trace) Components; 6 Discussion and Conclusions; References; Towards the Concept of Background/baseline Compositions: A Practicable Path?; 1 Introduction; 1.1 Background or Baseline: A Summary; 1.2 Baseline Hydrochemical (Compositional) Facies; 2 Materials and Methods; 2.1 Data Sources; 2.2 Statistical Methodologies; 3 Results and Discussion

3.1 Sequential Binary Partition of Water Chemistry3.2 The Distributional Behaviour of Robust Mahalanobis Distance; 4 Conclusions; References; Multielement Geochemical Modelling for Mine Planning: Case Study from an Epithermal Gold Deposit; 1 Introduction; 2 Methodology; 2.1 Data Pre-processing; 2.2 rPCA; 2.3 k-Means Cluster Analysis; 2.4 Wireframes and Characterization of Domains; 3 Case Study; 3.1 Data and Data Pre-Processing; 3.2 rPCA; 3.3 k-means cluster analysis; 4 Conclusions; References; A Compositional Approach to Allele Sharing Analysis; 1 Introduction; 2 Identical by State Studies

2.1 Example3 Identical by Descent Studies; 3.1 Examples; 4 Conclusion; References; An Application of the Isometric Log-Ratio Transformation in Relatedness Research; 1 Introduction; 2 Maximum Likelihood Estimation of IBD Probabilities; 3 Reparametrization of the Likelihood in Isometric Log-Ratios; 4 Examples; 5 Discussion; References; Recognizing and Validating Structural Processes in Geochemical Data: Examples from a Diamondiferous Kimberlite and a Regional Lake Sediment Geochemical Survey; 1 Introduction; 2 Methods; 2.1 Process Discovery; 2.2 Process Validation; 2.3 Geospatial Coherence

3 Examples3.1 Process Discovery and Validation of Diamondiferous Kimberlites; 3.2 Predictive Mapping Regional Geology Using Lake Sediment Geochemistry; 4 Discussion; 5 Conclusions; References; Space-Time Compositional Models: An Introduction to Simplicial Partial Differential Operators; 1 Introduction; 2 Derivatives and Integrals of a Space-Time Simplicial Field; 3 Compositional Mass Continuity Equation and Differential Operators; 4 Conclusions; References; A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution; 1 Introduction