| Huson D.H. Phylogenetic networks: concepts, algorithms and applications / D.H.Huson, R.Rupp, C.Scornavacca. - Cambridge: Cambridge University Press, 2011. - xii, 362 p.: ill. - Ref.: p.343-357. - Ind.: p.358-362. - ISBN 978-0-521-75596-2
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Preface ..................................................... ix
Part I Introduction ............................................. l
1 Basics ....................................................... 3
1.1 Overview ................................................ 3
1.2 Undirected and directed graphs .......................... 3
1.3 Trees ................................................... 7
1.4 Rooted DAGs ............................................. 8
1.5 Traversals of trees and DAGs ............................ 9
1.6 Taxa, clusters, clades and splits ...................... 11
2 Sequence alignment .......................................... 13
2.1 Overview ............................................... 13
2.2 Pairwise sequence alignment ............................ 13
2.3 Multiple sequence alignment ............................ 20
3 Phylogenetic trees .......................................... 23
3.1 Overview ............................................... 23
3.2 Phylogenetic trees ..................................... 24
3.3 The number of phylogenetic trees ....................... 27
3.4 Models of DNA evolution ................................ 29
3.5 The phylogenetic tree reconstruction problem ........... 32
3.6 Sequence-based methods ................................. 33
3.7 Maximum parsimony ...................................... 33
3.8 Branch-swapping methods ................................ 37
3.9 Maximum likelihood estimation .......................... 40
3.10 Bootstrap analysis ..................................... 43
3.11 Bayesian methods ....................................... 45
3.12 Distance-based methods ................................. 50
3.13 UPGMA .................................................. 52
3.14 Neighbor-joining ....................................... 54
3.15 Balanced minimum evolution ............................. 56
3.16 Comparing trees ........................................ 60
3.17 Consensus trees ........................................ 63
3.18 The Newick format ...................................... 66
4 Introduction to phylogenetic networks ....................... 68
4.1 Overview ............................................... 69
4.2 What is a phylogenetic network? ........................ 69
4.3 Unrooted phylogenetic networks ......................... 71
4.4 Rooted phylogenetic networks ........................... 76
4.5 The extended Newick format ............................. 81
4.6 Which types of networks are currently used in
practice? .............................................. 83
Part II Theory ................................................. 85
5 Splits and unrooted phylogenetic networks ................... 87
5.1 Overview ............................................... 87
5.2 Splits ................................................. 88
5.3 Compatibility and incompatibility ...................... 90
5.4 Splits and clusters .................................... 91
5.5 Split networks ......................................... 93
5.6 The canonical split network ............................ 97
5.7 Circular splits and planar split networks ............. 102
5.8 Weak compatibility .................................... 105
5.9 The split decomposition ............................... 107
5.10 Representing trees in a split network ................. 121
5.11 Comparing split networks .............................. 122
5.12 T-theory .............................................. 122
6 Clusters and rooted phylogenetic networks .................. 127
6.1 Overview .............................................. 127
6.2 Clusters, compatibility and incompatibility ........... 128
6.3 Hasse diagrams ........................................ 132
6.4 Cluster networks ...................................... 133
6.5 Rooted phylogenetic networks .......................... 138
6.6 The lowest stable ancestor ............................ 140
6.7 Representing trees in rooted networks ................. 144
6.8 Hardwired and softwired clusters ...................... 146
6.9 Minimum rooted phylogenetic networks .................. 149
6.10 Decomposability ....................................... 150
6.11 Topological constraints on rooted networks ............ 156
6.12 Cluster containment in rooted networks ................ 168
6.13 Tree containment ...................................... 171
6.14 Comparing rooted networks ............................. 171
Part III Algorithms and applications .......................... 185
7 Phylogenetic networks from splits .......................... 187
7.1 The convex hull algorithm ............................. 187
7.2 The circular network algorithm ........................ 190
8 Phylogenetic networks from clusters ........................ 193
8.1 Cluster networks ...................................... 193
8.2 Divide-and-conquer using decomposition ................ 194
8.3 Galled trees .......................................... 198
8.4 Galled networks ....................................... 201
8.5 Level-к networks ...................................... 210
9 Phylogenetic networks from sequences ....................... 216
9.1 Condensed alignments .................................. 216
9.2 Binary sequences and splits ........................... 216
9.3 Parsimony splits ...................................... 218
9.4 Median networks ....................................... 219
9.5 Quasi-median networks ................................. 223
9.6 Median-joining ........................................ 227
9.7 Pruned quasi-median networks .......................... 232
9.8 Recombination networks ................................ 233
9.9 Galled trees .......................................... 240
10 Phylogenetic networks from distances ....................... 250
10.1 Distances and splits .................................. 250
10.2 Minimum spanning networks ............................. 251
10.3 Split decomposition ................................... 251
10.4 Neighbor-net .......................................... 254
10.5 T-Rex ................................................. 261
11 Phylogenetic networks from trees ........................... 265
11.1 Consensus split networks .............................. 265
11.2 Consensus super split networks for unrooted trees ..... 268
11.3 Distortion-filtered super split networks for
unrooted trees ........................................ 273
11.4 Consensus cluster networks for rooted trees ........... 274
11.5 Minimum hybridization networks ........................ 275
11.6 Minimum hybridization networks and galled trees ....... 285
11.7 Networks from multi-labeled trees ..................... 287
11.8 DLT reconciliation of gene and species trees .......... 289
12 Phylogenetic networks from triples or quartets ............. 300
12.1 Trees from rooted triples ............................. 300
12.2 Level-fc networks from rooted triples ................. 302
12.3 The quartet-net method ................................ 308
13 Drawing phylogenetic networks .............................. 312
13.1 Overview .............................................. 312
13.2 Cladograms for rooted phylogenetic trees .............. 312
13.3 Cladograms for rooted phylogenetic networks ........... 316
13.4 Phylograms for rooted phylogenetic trees .............. 323
13.5 Phylograms for rooted phylogenetic networks ........... 324
13.6 Drawing rooted phylogenetic networks with transfer
edges ................................................. 327
13.7 Radial diagrams for unrooted trees .................... 328
13.8 Radial diagrams for split networks .................... 329
14 Software ................................................... 332
14.1 Splits Tree ........................................... 332
14.2 Network ............................................... 333
14.3 TCS ................................................... 334
14.4 Dendroscope ........................................... 334
14.5 Other programs ........................................ 335
Glossary ................................................... 338
References ................................................. 343
Index ...................................................... 358
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