Multidimensional palaeobiology

Contents
Preface
CHAPTER 1. Introduction
1.1 Form of presentation
1.2 Layout
1.3 Computational aspects
1.4 Some Definitions
1.5 On Variables
1.6 On Style
CHAPTER 2 Vectors and Matrices
2.1 lntroduction
2.2 Some Definitions
2.3 Operations on Vectors
2.4 Operations on Matrices
2.5 Latent Roots and Vectors
2.6 Basic Structure of a Matrix
2.7 Some More Definitions
2.8 Descriptive Statistics
2.9 On Tranaformations
CHAPTER 3 Primer of Multivariate Statistical Analysis
3.1 lntroduction
3.2 The SingIe Sample
3.3 Two Samples
3.4 Several Samples
3.5 Relationship Between Sets
3.6 Exemplification of Methods
3.7 Canonical Correlation
3.8 Some Spacial Multlvariate Topics
3.9 Factor Analysis or Principal Components?
CHAPTER 4: The Study of Size and Shape
4.1 lntroduction
4.2 Multlvarlate Representation of Allometry
4.3 Size Divorced from Shape
4.4 Shape in Terma of Outline
4.5 Geometric Morphometric
CHAPTER 5: Application of Quantitative Genetics to Evolutionary Biology
5.1 Multiveriate Analysis in Evolutionary Biology
5.2 Time Series in Palaeontology
5.3 Multivariate Applications in Quantitative Genetics
5.4 Evolution in the Phenotype
5.5 Regional Validity of the Multivariate Phenotype
5.6 A Set of case histories
5.7 On Stasis
5.8 Tlme Series Analysis in Multidimentional Palaeoblology
CHAPTER 6 Polymorphism
6.3 The Panoply of Polimorphism
6.4 Polimorphism in Ostracods
6.5 Environmentalty Cued Palymorphism
6.6 Shape Polymorphism
6.7 Ornamental Polimorphism
CHAPTER 7 Multivariate Palaeoecology
Multivariate Assemleges ad Associations between species
7.5 On Species Data
7.6 Canonical correspondence analysis in palaeoecology
7.7 lnteractlon Between Predator and Prey
7.8 Asymmetrlc Relationships in Palaeoecology: The Case of Riparian sedimentary Enviroments Envirool09Y:
7.9 Further Toplcs for research
CHAPTER 8 Case Histories and Applications
8.1 lntroduction
8.2 Palaeoblological significance of Multivariate Normality
8.3 lnterpretation of Atyplcal lndividuals
8.4 Principal Component Analysis and Cross-Validation
8.5 The Statistical Recognition of Moult Stages
8.6 Discriminant Analyais by Shrunken Estimators: a Cretaceous Foraminifer
8.8 Phenotipic Plasticity in Ammonites
8.9 Multidimentional Palaeobiogeography
8.10 An example of Statistical Palaeoecology
8.12 Morphomatric Contrasts in Triasc lchthyosaurs
Bibliography
Glossary
Subject lndex
SUPPLEMENT: Computer Programs for Multidimensional Palaeobiology
Appendix 1: Pc SAS Guide on a Sheet
Appendix 2: Summary of IML
Appendix 3: Thin-plate Spline