Description

Book Synopsis
Systematics: A Course of Lectures is designed for use in an advanced undergraduate or introductory graduate level course in systematics and is meant to present core systematic concepts and literature. The book covers topics such as the history of systematic thinking and fundamental concepts in the field including species concepts, homology, and hypothesis testing. Analytical methods are covered in detail with chapters devoted to sequence alignment, optimality criteria, and methods such as distance, parsimony, maximum likelihood and Bayesian approaches. Trees and tree searching, consensus and super-tree methods, support measures, and other relevant topics are each covered in their own sections.

The work is not a bleeding-edge statement or in-depth review of the entirety of systematics, but covers the basics as broadly as could be handled in a one semester course. Most chapters are designed to be a single 1.5 hour class, with those on parsimony, likelihood, posterior probabili

Trade Review

“Viewed as a series of lectures, this is clearly aimed at graduate level courses in systematics, although some elements would prove useful at undergraduate level.” (British Ecological Society Bulletin, 1 August 2013)

“If you want to teach yourself systematics, this book is for you. It’s just a series of lectures and exercises compiled by Wheeler, one of the top systematic biologists.” (Teaching Biology, 20 December 2012)

“All things considered, I strongly recommend this work as a textbook for those teaching in systematics, biologists and palaeontologists alike . . . I would advise this book to graduate students – MSc and above.” (Journal of Zoological Systematics and Evolutionary Research, 1 February 2013)



Table of Contents
Preface xv

Using these notes xv

Acknowledgments xvi

List of algorithms xix

I Fundamentals 1

1 History 2

1.1 Aristotle 2

1.2 Theophrastus 3

1.3 Pierre Belon 4

1.4 Carolus Linnaeus 4

1.5 Georges Louis Leclerc, Comte de Buffon 6

1.6 Jean-Baptiste Lamarck 7

1.7 Georges Cuvier 8

1.8 ´Etienne Geoffroy Saint-Hilaire 8

1.9 JohannWolfgang von Goethe 8

1.10 Lorenz Oken9

1.11 Richard Owen 9

1.12 Charles Darwin 9

1.13 Stammbäume 12

1.14 Evolutionary Taxonomy 14

1.15 Phenetics 15

1.16 Phylogenetic Systematics 16

1.16.1 Hennig’s Three Questions 16

1.17 Molecules and Morphology 18

1.18 We are all Cladists 18

1.19 Exercises 19

2 Fundamental Concepts 20

2.1 Characters 20

2.1.1 Classes of Characters and Total Evidence 22

2.1.2 Ontogeny, Tokogeny, and Phylogeny 23

2.1.3 Characters and Character States 23

2.2 Taxa 26

2.3 Graphs, Trees, and Networks 28

2.3.1 Graphs and Trees 30

2.3.2 Enumeration 31

2.3.3 Networks 33

2.3.4 Mono-, Para-, and Polyphyly 33

2.3.5 Splits and Convexity 38

2.3.6 Apomorphy, Plesiomorphy, and Homoplasy 39

2.3.7 Gene Trees and Species Trees 41

2.4 Polarity and Rooting 43

2.4.1 Stratigraphy 43

2.4.2 Ontogeny 43

2.4.3 Outgroups 45

2.5 Optimality 49

2.6 Homology 49

2.7 Exercises 50

3 Species Concepts, Definitions, and Issues 53

3.1 Typological or Taxonomic Species Concept 54

3.2 Biological Species Concept 54

3.2.1 Criticisms of the BSC 55

3.3 Phylogenetic Species Concept(s) 56

3.3.1 Autapomorphic/Monophyletic Species Concept 56

3.3.2 Diagnostic/Phylogenetic Species Concept 58

3.4 Lineage Species Concepts 59

3.4.1 Hennigian Species 59

3.4.2 Evolutionary Species 60

3.4.3 Criticisms of Lineage-Based Species 61

3.5 Species as Individuals or Classes 62

3.6 Monoism and Pluralism 63

3.7 Pattern and Process 63

3.8 Species Nominalism 64

3.9 Do Species Concepts Matter? 65

3.10 Exercises 65

4 Hypothesis Testing and the Philosophy of Science 67

4.1 Forms of Scientific Reasoning 67

4.1.1 The Ancients 67

4.1.2 Ockham’s Razor 68

4.1.3 Modes of Scientific Inference 69

4.1.4 Induction 69

4.1.5 Deduction 69

4.1.6 Abduction 70

4.1.7 Hypothetico-Deduction 71

4.2 Other Philosophical Issues 75

4.2.1 Minimization, Transformation, and Weighting 75

4.3 Quotidian Importance 76

4.4 Exercises 76

5 Computational Concepts 77

5.1 Problems, Algorithms, and Complexity 77

5.1.1 Computer Science Basics 77

5.1.2 Algorithms 79

5.1.3 Asymptotic Notation 79

5.1.4 Complexity 80

5.1.5 Non-Deterministic Complexity 82

5.1.6 Complexity Classes: P and NP 82

5.2 An Example: The Traveling Salesman Problem 84

5.3 Heuristic Solutions 85

5.4 Metricity, and Untrametricity 86

5.5 NP–Complete Problems in Systematics 87

5.6 Exercises 88

6 Statistical and Mathematical Basics 89

6.1 Theory of Statistics 89

6.1.1 Probability 89

6.1.2 Conditional Probability 91

6.1.3 Distributions 92

6.1.4 Statistical Inference 98

6.1.5 Prior and Posterior Distributions 99

6.1.6 Bayes Estimators 100

6.1.7 Maximum Likelihood Estimators 101

6.1.8 Properties of Estimators 101

6.2 Matrix Algebra, Differential Equations, and Markov Models 102

6.2.1 Basics 102

6.2.2 Gaussian Elimination 102

6.2.3 Differential Equations 104

6.2.4 Determining Eigenvalues 105

6.2.5 MarkovMatrices 106

6.3 Exercises 107

II Homology 109

7 Homology 110

7.1 Pre-Evolutionary Concepts110

7.1.1 Aristotle 110

7.1.2 Pierre Belon 110

7.1.3 ´Etienne Geoffroy Saint-Hilaire 111

7.1.4 Richard Owen 112

7.2 Charles Darwin 113

7.3 E. Ray Lankester 114

7.4 Adolf Remane 114

7.5 Four Types of Homology 115

7.5.1 Classical View 115

7.5.2 Evolutionary Taxonomy 115

7.5.3 Phenetic Homology 116

7.5.4 Cladistic Homology 116

7.5.5 Types of Homology 117

7.6 Dynamic and Static Homology 118

7.7 Exercises 120

8 Sequence Alignment 121

8.1 Background 121

8.2 “Informal” Alignment 121

8.3 Sequences 121

8.3.1 Alphabets 122

8.3.2 Transformations 123

8.3.3 Distances 123

8.4 Pairwise StringMatching 123

8.4.1 An Example 127

8.4.2 Reducing Complexity 129

8.4.3 Other Indel Weights 130

8.5 Multiple Sequence Alignment 131

8.5.1 The Tree Alignment Problem 133

8.5.2 Trees and Alignment 133

8.5.3 Exact Solutions 134

8.5.4 Polynomial Time Approximate Schemes 134

8.5.5 Heuristic Multiple Sequence Alignment 134

8.5.6 Implementations 135

8.5.7 Structural Alignment 139

8.6 Exercises 145

III Optimality Criteria 147

9 Optimality Criteria-Distance 148

9.1 Why Distance? 148

9.1.1 Benefits 149

9.1.2 Drawbacks 149

9.2 Distance Functions 150

9.2.1 Metricity 150

9.3 Ultrametric Trees 150

9.4 Additive Trees 152

9.4.1 Farris Transform 153

9.4.2 Buneman Trees 154

9.5 General Distances 156

9.5.1 Phenetic Clustering 157

9.5.2 Percent Standard Deviation 160

9.5.3 Minimizing Length 163

9.6 Comparisons 170

9.7 Exercises 171

10 Optimality Criteria-Parsimony 173

10.1 Perfect Phylogeny 174

10.2 Static Homology Characters 174

10.2.1 Additive Characters 175

10.2.2 Non-Additive Characters 179

10.2.3 Matrix Characters 182

10.3 Missing Data 184

10.4 Edge Transformation Assignments 187

10.5 Collapsing Branches 188

10.6 Dynamic Homology 188

10.7 Dynamic and Static Homology 189

10.8 Sequences as Characters 190

10.9 The Tree Alignment Problem on Trees 191

10.9.1 Exact Solutions 191

10.9.2 Heuristic Solutions 191

10.9.3 Lifted Alignments, Fixed-States, and Search-Based Heuristics 193

10.9.4 Iterative Improvement 197

10.10 Performance of Heuristic Solutions 198

10.11 Parameter Sensitivity 198

10.11.1 Sensitivity Analysis 199

10.12 Implied Alignment 199

10.13 Rearrangement 204

10.13.1 Sequence Characters with Moves 204

10.13.2Gene Order Rearrangement 205

10.13.3Median Evaluation 207

10.13.4Combination ofMethods 207

10.14 Horizontal Gene Transfer, Hybridization, and Phylogenetic Networks 209

10.15 Exercises 210

11 Optimality Criteria-Likelihood 213

11.1 Motivation 213

11.1.1 Felsenstein’s Example 213

11.2 Maximum Likelihood and Trees 216

11.2.1 Nuisance Parameters 216

11.3 Types of Likelihood 217

11.3.1 Flavors ofMaximum Relative Likelihood 217

11.4 Static-Homology Characters 218

11.4.1 Models 218

11.4.2 Rate Variation 219

11.4.3 Calculating p(D|T, ?) 221

11.4.4 Links Between Likelihood and Parsimony 222

11.4.5 A Note onMissing Data 224

11.5 Dynamic-Homology Characters 224

11.5.1 Sequence Characters 225

11.5.2 CalculatingML Pairwise Alignment 227

11.5.3 MLMultiple Alignment 230

11.5.4 Maximum Likelihood Tree Alignment Problem 230

11.5.5 Genomic Rearrangement 232

11.5.6 Phylogenetic Networks 234

11.6 Hypothesis Testing 234

11.6.1 Likelihood Ratios 234

11.6.2 Parameters and Fit 236

11.7 Exercises 238

12 Optimality Criteria-Posterior Probability 240

12.1 Bayes in Systematics 240

12.2 Priors 241

12.2.1 Trees 241

12.2.2 Nuisance Parameters 242

12.3 Techniques 246

12.3.1 Markov ChainMonte Carlo 246

12.3.2 Metropolis–Hastings Algorithm 246

12.3.3 Single Component 248

12.3.4 Gibbs Sampler 249

12.3.5 Bayesian MC3 249

12.3.6 Summary of Posterior 250

12.4 Topologies and Clades 252

12.5 Optimality versus Support 254

12.6 Dynamic Homology 254

12.6.1 Hidden Markov Models 255

12.6.2 An Example 256

12.6.3 Three Questions—Three Algorithms 258

12.6.4 HMMAlignment 262

12.6.5 Bayesian Tree Alignment 264

12.6.6 Implementations 264

12.7 Rearrangement 266

12.8 Criticisms of BayesianMethods 267

12.9 Exercises 267

13 Comparison of Optimality Criteria 269

13.1 Distance and CharacterMethods 269

13.2 Epistemology 270

13.2.1 Ockham’s Razor and Popperian Argumentation 271

13.2.2 Parsimony and the Evolutionary Process 272

13.2.3 Induction and Statistical Estimation 272

13.2.4 Hypothesis Testing and Optimality Criteria 272

13.3 Statistical Behavior 273

13.3.1 Probability 273

13.3.2 Consistency 274

13.3.3 Efficiency 281

13.3.4 Robustness 282

13.4 Performance 282

13.4.1 Long-Branch Attraction 283

13.4.2 Congruence 285

13.5 Convergence 285

13.6 CanWe Argue Optimality Criteria? 286

13.7 Exercises 287

IV Trees 289

14 Tree Searching 290

14.1 Exact Solutions 290

14.1.1 Explicit Enumeration 290

14.1.2 Implicit Enumeration—Branch-and-Bound 292

14.2 Heuristic Solutions 294

14.2.1 Local versus Global Optima 294

14.3 Trajectory Search 296

14.3.1 Wagner Algorithm 296

14.3.2 Branch-Swapping Refinement 298

14.3.3 Swapping as Distance 301

14.3.4 Depth-First versus Breadth-First Searching 302

14.4 Randomization 304

14.5 Perturbation 305

14.6 Sectorial Searches and Disc-Covering Methods 309

14.6.1 Sectorial Searches 309

14.6.2 Disc-CoveringMethods 310

14.7 Simulated Annealing 312

14.8 Genetic Algorithm 316

14.9 Synthesis and Stopping 318

14.10 Empirical Examples 319

14.11 Exercises 323

15 Support 324

15.1 ResamplingMeasures 324

15.1.1 Bootstrap 325

15.1.2 Criticisms of the Bootstrap 326

15.1.3 Jackknife 328

15.1.4 Resampling and Dynamic Homology Characters 329

15.2 Optimality-BasedMeasures 329

15.2.1 Parsimony 330

15.2.2 Likelihood 332

15.2.3 Bayesian Posterior Probability 334

15.2.4 Strengths of Optimality-Based Support 335

15.3 Parameter-BasedMeasures 336

15.4 Comparison of Support Measures—Optimal and Average 336

15.5 Which to Choose? 339

15.6 Exercises 339

16 Consensus, Congruence, and Supertrees 341

16.1 Consensus TreeMethods 341

16.1.1 Motivations 341

16.1.2 Adams I and II 341

16.1.3 Gareth Nelson 344

16.1.4 Majority Rule 347

16.1.5 Strict 347

16.1.6 Semi-Strict/Combinable Components 348

16.1.7 Minimally Pruned 348

16.1.8 When to UseWhat? 350

16.2 Supertrees 350

16.2.1 Overview 350

16.2.2 The Impossibility of the Reasonable 350

16.2.3 Graph-BasedMethods 353

16.2.4 Strict Consensus Supertree 355

16.2.5 MR-Based 355

16.2.6 Distance-Based Method 358

16.2.7 Supertrees or Supermatrices? 360

16.3 Exercises 361

V Applications 363

17 Clocks and Rates 364

17.1 The Molecular Clock 364

17.2 Dating 365

17.3 Testing Clocks 365

17.3.1 Langley–Fitch 365

17.3.2 Farris 366

17.3.3 Felsenstein 367

17.4 Relaxed ClockModels 368

17.4.1 Local Clocks 368

17.4.2 Rate Smoothing 368

17.4.3 Bayesian Clock 369

17.5 Implementations 369

17.5.1 r8s 369

17.5.2 MULTIDIVTIME 370

17.5.3 BEAST 370

17.6 Criticisms 370

17.7 Molecular Dates? 373

17.8 Exercises 373

A Mathematical Notation 374

Bibliography 376

Index 415

Color plate section between pp. 76 and 77 ?

Systematics

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    A Hardback by Ward C. Wheeler

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      View other formats and editions of Systematics by Ward C. Wheeler

      Publisher: John Wiley and Sons Ltd
      Publication Date: 04/05/2012
      ISBN13: 9780470671702, 978-0470671702
      ISBN10: 047067170X

      Description

      Book Synopsis
      Systematics: A Course of Lectures is designed for use in an advanced undergraduate or introductory graduate level course in systematics and is meant to present core systematic concepts and literature. The book covers topics such as the history of systematic thinking and fundamental concepts in the field including species concepts, homology, and hypothesis testing. Analytical methods are covered in detail with chapters devoted to sequence alignment, optimality criteria, and methods such as distance, parsimony, maximum likelihood and Bayesian approaches. Trees and tree searching, consensus and super-tree methods, support measures, and other relevant topics are each covered in their own sections.

      The work is not a bleeding-edge statement or in-depth review of the entirety of systematics, but covers the basics as broadly as could be handled in a one semester course. Most chapters are designed to be a single 1.5 hour class, with those on parsimony, likelihood, posterior probabili

      Trade Review

      “Viewed as a series of lectures, this is clearly aimed at graduate level courses in systematics, although some elements would prove useful at undergraduate level.” (British Ecological Society Bulletin, 1 August 2013)

      “If you want to teach yourself systematics, this book is for you. It’s just a series of lectures and exercises compiled by Wheeler, one of the top systematic biologists.” (Teaching Biology, 20 December 2012)

      “All things considered, I strongly recommend this work as a textbook for those teaching in systematics, biologists and palaeontologists alike . . . I would advise this book to graduate students – MSc and above.” (Journal of Zoological Systematics and Evolutionary Research, 1 February 2013)



      Table of Contents
      Preface xv

      Using these notes xv

      Acknowledgments xvi

      List of algorithms xix

      I Fundamentals 1

      1 History 2

      1.1 Aristotle 2

      1.2 Theophrastus 3

      1.3 Pierre Belon 4

      1.4 Carolus Linnaeus 4

      1.5 Georges Louis Leclerc, Comte de Buffon 6

      1.6 Jean-Baptiste Lamarck 7

      1.7 Georges Cuvier 8

      1.8 ´Etienne Geoffroy Saint-Hilaire 8

      1.9 JohannWolfgang von Goethe 8

      1.10 Lorenz Oken9

      1.11 Richard Owen 9

      1.12 Charles Darwin 9

      1.13 Stammbäume 12

      1.14 Evolutionary Taxonomy 14

      1.15 Phenetics 15

      1.16 Phylogenetic Systematics 16

      1.16.1 Hennig’s Three Questions 16

      1.17 Molecules and Morphology 18

      1.18 We are all Cladists 18

      1.19 Exercises 19

      2 Fundamental Concepts 20

      2.1 Characters 20

      2.1.1 Classes of Characters and Total Evidence 22

      2.1.2 Ontogeny, Tokogeny, and Phylogeny 23

      2.1.3 Characters and Character States 23

      2.2 Taxa 26

      2.3 Graphs, Trees, and Networks 28

      2.3.1 Graphs and Trees 30

      2.3.2 Enumeration 31

      2.3.3 Networks 33

      2.3.4 Mono-, Para-, and Polyphyly 33

      2.3.5 Splits and Convexity 38

      2.3.6 Apomorphy, Plesiomorphy, and Homoplasy 39

      2.3.7 Gene Trees and Species Trees 41

      2.4 Polarity and Rooting 43

      2.4.1 Stratigraphy 43

      2.4.2 Ontogeny 43

      2.4.3 Outgroups 45

      2.5 Optimality 49

      2.6 Homology 49

      2.7 Exercises 50

      3 Species Concepts, Definitions, and Issues 53

      3.1 Typological or Taxonomic Species Concept 54

      3.2 Biological Species Concept 54

      3.2.1 Criticisms of the BSC 55

      3.3 Phylogenetic Species Concept(s) 56

      3.3.1 Autapomorphic/Monophyletic Species Concept 56

      3.3.2 Diagnostic/Phylogenetic Species Concept 58

      3.4 Lineage Species Concepts 59

      3.4.1 Hennigian Species 59

      3.4.2 Evolutionary Species 60

      3.4.3 Criticisms of Lineage-Based Species 61

      3.5 Species as Individuals or Classes 62

      3.6 Monoism and Pluralism 63

      3.7 Pattern and Process 63

      3.8 Species Nominalism 64

      3.9 Do Species Concepts Matter? 65

      3.10 Exercises 65

      4 Hypothesis Testing and the Philosophy of Science 67

      4.1 Forms of Scientific Reasoning 67

      4.1.1 The Ancients 67

      4.1.2 Ockham’s Razor 68

      4.1.3 Modes of Scientific Inference 69

      4.1.4 Induction 69

      4.1.5 Deduction 69

      4.1.6 Abduction 70

      4.1.7 Hypothetico-Deduction 71

      4.2 Other Philosophical Issues 75

      4.2.1 Minimization, Transformation, and Weighting 75

      4.3 Quotidian Importance 76

      4.4 Exercises 76

      5 Computational Concepts 77

      5.1 Problems, Algorithms, and Complexity 77

      5.1.1 Computer Science Basics 77

      5.1.2 Algorithms 79

      5.1.3 Asymptotic Notation 79

      5.1.4 Complexity 80

      5.1.5 Non-Deterministic Complexity 82

      5.1.6 Complexity Classes: P and NP 82

      5.2 An Example: The Traveling Salesman Problem 84

      5.3 Heuristic Solutions 85

      5.4 Metricity, and Untrametricity 86

      5.5 NP–Complete Problems in Systematics 87

      5.6 Exercises 88

      6 Statistical and Mathematical Basics 89

      6.1 Theory of Statistics 89

      6.1.1 Probability 89

      6.1.2 Conditional Probability 91

      6.1.3 Distributions 92

      6.1.4 Statistical Inference 98

      6.1.5 Prior and Posterior Distributions 99

      6.1.6 Bayes Estimators 100

      6.1.7 Maximum Likelihood Estimators 101

      6.1.8 Properties of Estimators 101

      6.2 Matrix Algebra, Differential Equations, and Markov Models 102

      6.2.1 Basics 102

      6.2.2 Gaussian Elimination 102

      6.2.3 Differential Equations 104

      6.2.4 Determining Eigenvalues 105

      6.2.5 MarkovMatrices 106

      6.3 Exercises 107

      II Homology 109

      7 Homology 110

      7.1 Pre-Evolutionary Concepts110

      7.1.1 Aristotle 110

      7.1.2 Pierre Belon 110

      7.1.3 ´Etienne Geoffroy Saint-Hilaire 111

      7.1.4 Richard Owen 112

      7.2 Charles Darwin 113

      7.3 E. Ray Lankester 114

      7.4 Adolf Remane 114

      7.5 Four Types of Homology 115

      7.5.1 Classical View 115

      7.5.2 Evolutionary Taxonomy 115

      7.5.3 Phenetic Homology 116

      7.5.4 Cladistic Homology 116

      7.5.5 Types of Homology 117

      7.6 Dynamic and Static Homology 118

      7.7 Exercises 120

      8 Sequence Alignment 121

      8.1 Background 121

      8.2 “Informal” Alignment 121

      8.3 Sequences 121

      8.3.1 Alphabets 122

      8.3.2 Transformations 123

      8.3.3 Distances 123

      8.4 Pairwise StringMatching 123

      8.4.1 An Example 127

      8.4.2 Reducing Complexity 129

      8.4.3 Other Indel Weights 130

      8.5 Multiple Sequence Alignment 131

      8.5.1 The Tree Alignment Problem 133

      8.5.2 Trees and Alignment 133

      8.5.3 Exact Solutions 134

      8.5.4 Polynomial Time Approximate Schemes 134

      8.5.5 Heuristic Multiple Sequence Alignment 134

      8.5.6 Implementations 135

      8.5.7 Structural Alignment 139

      8.6 Exercises 145

      III Optimality Criteria 147

      9 Optimality Criteria-Distance 148

      9.1 Why Distance? 148

      9.1.1 Benefits 149

      9.1.2 Drawbacks 149

      9.2 Distance Functions 150

      9.2.1 Metricity 150

      9.3 Ultrametric Trees 150

      9.4 Additive Trees 152

      9.4.1 Farris Transform 153

      9.4.2 Buneman Trees 154

      9.5 General Distances 156

      9.5.1 Phenetic Clustering 157

      9.5.2 Percent Standard Deviation 160

      9.5.3 Minimizing Length 163

      9.6 Comparisons 170

      9.7 Exercises 171

      10 Optimality Criteria-Parsimony 173

      10.1 Perfect Phylogeny 174

      10.2 Static Homology Characters 174

      10.2.1 Additive Characters 175

      10.2.2 Non-Additive Characters 179

      10.2.3 Matrix Characters 182

      10.3 Missing Data 184

      10.4 Edge Transformation Assignments 187

      10.5 Collapsing Branches 188

      10.6 Dynamic Homology 188

      10.7 Dynamic and Static Homology 189

      10.8 Sequences as Characters 190

      10.9 The Tree Alignment Problem on Trees 191

      10.9.1 Exact Solutions 191

      10.9.2 Heuristic Solutions 191

      10.9.3 Lifted Alignments, Fixed-States, and Search-Based Heuristics 193

      10.9.4 Iterative Improvement 197

      10.10 Performance of Heuristic Solutions 198

      10.11 Parameter Sensitivity 198

      10.11.1 Sensitivity Analysis 199

      10.12 Implied Alignment 199

      10.13 Rearrangement 204

      10.13.1 Sequence Characters with Moves 204

      10.13.2Gene Order Rearrangement 205

      10.13.3Median Evaluation 207

      10.13.4Combination ofMethods 207

      10.14 Horizontal Gene Transfer, Hybridization, and Phylogenetic Networks 209

      10.15 Exercises 210

      11 Optimality Criteria-Likelihood 213

      11.1 Motivation 213

      11.1.1 Felsenstein’s Example 213

      11.2 Maximum Likelihood and Trees 216

      11.2.1 Nuisance Parameters 216

      11.3 Types of Likelihood 217

      11.3.1 Flavors ofMaximum Relative Likelihood 217

      11.4 Static-Homology Characters 218

      11.4.1 Models 218

      11.4.2 Rate Variation 219

      11.4.3 Calculating p(D|T, ?) 221

      11.4.4 Links Between Likelihood and Parsimony 222

      11.4.5 A Note onMissing Data 224

      11.5 Dynamic-Homology Characters 224

      11.5.1 Sequence Characters 225

      11.5.2 CalculatingML Pairwise Alignment 227

      11.5.3 MLMultiple Alignment 230

      11.5.4 Maximum Likelihood Tree Alignment Problem 230

      11.5.5 Genomic Rearrangement 232

      11.5.6 Phylogenetic Networks 234

      11.6 Hypothesis Testing 234

      11.6.1 Likelihood Ratios 234

      11.6.2 Parameters and Fit 236

      11.7 Exercises 238

      12 Optimality Criteria-Posterior Probability 240

      12.1 Bayes in Systematics 240

      12.2 Priors 241

      12.2.1 Trees 241

      12.2.2 Nuisance Parameters 242

      12.3 Techniques 246

      12.3.1 Markov ChainMonte Carlo 246

      12.3.2 Metropolis–Hastings Algorithm 246

      12.3.3 Single Component 248

      12.3.4 Gibbs Sampler 249

      12.3.5 Bayesian MC3 249

      12.3.6 Summary of Posterior 250

      12.4 Topologies and Clades 252

      12.5 Optimality versus Support 254

      12.6 Dynamic Homology 254

      12.6.1 Hidden Markov Models 255

      12.6.2 An Example 256

      12.6.3 Three Questions—Three Algorithms 258

      12.6.4 HMMAlignment 262

      12.6.5 Bayesian Tree Alignment 264

      12.6.6 Implementations 264

      12.7 Rearrangement 266

      12.8 Criticisms of BayesianMethods 267

      12.9 Exercises 267

      13 Comparison of Optimality Criteria 269

      13.1 Distance and CharacterMethods 269

      13.2 Epistemology 270

      13.2.1 Ockham’s Razor and Popperian Argumentation 271

      13.2.2 Parsimony and the Evolutionary Process 272

      13.2.3 Induction and Statistical Estimation 272

      13.2.4 Hypothesis Testing and Optimality Criteria 272

      13.3 Statistical Behavior 273

      13.3.1 Probability 273

      13.3.2 Consistency 274

      13.3.3 Efficiency 281

      13.3.4 Robustness 282

      13.4 Performance 282

      13.4.1 Long-Branch Attraction 283

      13.4.2 Congruence 285

      13.5 Convergence 285

      13.6 CanWe Argue Optimality Criteria? 286

      13.7 Exercises 287

      IV Trees 289

      14 Tree Searching 290

      14.1 Exact Solutions 290

      14.1.1 Explicit Enumeration 290

      14.1.2 Implicit Enumeration—Branch-and-Bound 292

      14.2 Heuristic Solutions 294

      14.2.1 Local versus Global Optima 294

      14.3 Trajectory Search 296

      14.3.1 Wagner Algorithm 296

      14.3.2 Branch-Swapping Refinement 298

      14.3.3 Swapping as Distance 301

      14.3.4 Depth-First versus Breadth-First Searching 302

      14.4 Randomization 304

      14.5 Perturbation 305

      14.6 Sectorial Searches and Disc-Covering Methods 309

      14.6.1 Sectorial Searches 309

      14.6.2 Disc-CoveringMethods 310

      14.7 Simulated Annealing 312

      14.8 Genetic Algorithm 316

      14.9 Synthesis and Stopping 318

      14.10 Empirical Examples 319

      14.11 Exercises 323

      15 Support 324

      15.1 ResamplingMeasures 324

      15.1.1 Bootstrap 325

      15.1.2 Criticisms of the Bootstrap 326

      15.1.3 Jackknife 328

      15.1.4 Resampling and Dynamic Homology Characters 329

      15.2 Optimality-BasedMeasures 329

      15.2.1 Parsimony 330

      15.2.2 Likelihood 332

      15.2.3 Bayesian Posterior Probability 334

      15.2.4 Strengths of Optimality-Based Support 335

      15.3 Parameter-BasedMeasures 336

      15.4 Comparison of Support Measures—Optimal and Average 336

      15.5 Which to Choose? 339

      15.6 Exercises 339

      16 Consensus, Congruence, and Supertrees 341

      16.1 Consensus TreeMethods 341

      16.1.1 Motivations 341

      16.1.2 Adams I and II 341

      16.1.3 Gareth Nelson 344

      16.1.4 Majority Rule 347

      16.1.5 Strict 347

      16.1.6 Semi-Strict/Combinable Components 348

      16.1.7 Minimally Pruned 348

      16.1.8 When to UseWhat? 350

      16.2 Supertrees 350

      16.2.1 Overview 350

      16.2.2 The Impossibility of the Reasonable 350

      16.2.3 Graph-BasedMethods 353

      16.2.4 Strict Consensus Supertree 355

      16.2.5 MR-Based 355

      16.2.6 Distance-Based Method 358

      16.2.7 Supertrees or Supermatrices? 360

      16.3 Exercises 361

      V Applications 363

      17 Clocks and Rates 364

      17.1 The Molecular Clock 364

      17.2 Dating 365

      17.3 Testing Clocks 365

      17.3.1 Langley–Fitch 365

      17.3.2 Farris 366

      17.3.3 Felsenstein 367

      17.4 Relaxed ClockModels 368

      17.4.1 Local Clocks 368

      17.4.2 Rate Smoothing 368

      17.4.3 Bayesian Clock 369

      17.5 Implementations 369

      17.5.1 r8s 369

      17.5.2 MULTIDIVTIME 370

      17.5.3 BEAST 370

      17.6 Criticisms 370

      17.7 Molecular Dates? 373

      17.8 Exercises 373

      A Mathematical Notation 374

      Bibliography 376

      Index 415

      Color plate section between pp. 76 and 77 ?

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