This book considers evolution at different scales: sequences, genes, gene families, organelles, genomes and species. The focus is on the mathematical and computational tools and concepts, which form an essential basis of evolutionary studies, indicate their limitations, and give them orientation. Recent years have witnessed rapid progress in this area, with models and methods becoming more realistic, powerful, and complex.
This book of contributed chapters is authored by renowned scientists and covers recent results in the highly topical area of mathematics in evolution and phylogeny. Each chapter is a detailed overview of a specific topic, from the underlying concepts to the latest results.
Aimed at graduates and researchers in phylogenetics, this book will be of interest to both mathematicians and biologists.
Introduction,Olivier Gascuel 1. The minimum evolution distance-based approach of phylogenetic inference,Richard Desper and Olivier Gascuel 2. Likelihood calculation in molecular phylogenetics,David Bryant, Nicolas Galtier, and Marie-Anne Poursat 3. Bayesian inference in molecular phylogenetics,Ziheng Yang 4. Statistical approaches to test involving phylogenetics,Susan Holmes 5. Mixture models in phylogenetic inference,Mark Pagel and Andrew Meade 6. Hadamard conjugation: an analytic tool for phylogenetics,Michael D. Hendy 7. Phylogenetic networks,Vincent Moulton and Katharina Huber 8. Recontructing the duplication history of tandemly repeated sequences,Olivier Gascuel, Denis Bertrand, and Olivier Elemento 9. Conserved segment statistics and rearrangement inferences in comparative genomics,David Sankoff 10. The inversion distance problem,Anne Bergeron, Julia Mixtacki, and Jens Stoye 11. Genome rearrangement with gene families,Nadia El-Mabrouk 12. Reconstructing phylogenies from gene-content and genel“'