The Mathematics of Darwin’s Legacy (Mathematics and Biosciences in Interaction)

The Book Presents A General Overview Of Mathematical Models In The Context Of Evolution. It Covers A Wide Range Of Topics Such As Population Genetics, Population Dynamics, Speciation, Adaptive Dynamics, Game Theory, Kin Selection, And Stochastic Processes. Written By Leading Scientists Working At The Interface Between Evolutionary Biology And Mathematics The Book Is The Outcome Of A Conference Commemorating Charles Darwin's 200th Birthday, And The 150th Anniversary Of The First Publication Of His Book On The Origin Of Species. Its Chapters Vary In Format Between General Introductory And State-of-the-art Research Texts In Biomathematics, In This Way Addressing Both Students And Researchers In Mathematics, Biology And Related Fields. Mathematicians Looking For New Problems As Well As Biologists Looking For Rigorous Description Of Population Dynamics Will Find This Book Fundamental. What Changes Has Mathematics Made To The Darwinian Theory? / W.j. Ewens -- The Mathematics Of Darwin's Theory Of Evolution : 1859 And 150 Years Later / P. Schuster -- Some Mathematical Models In Evolutionary Genetics / R. Bürger -- Extinction, Persistence, And Evolution / P. Jagers -- Group Theory In Homogeneous Populations (rescuing Darwin From The Mud) / P. Taylor -- Evolutionary Dynamics Of Collective Action / J.m. Pacheco ... [et Al.] -- On Kin And Group Selection, And The Haystack Model / V.a.a. Jansen -- Population Formulation Of Adaptative Meso-evolution : Theory And Numerics / S. Mirrahimi ... [et Al.] -- Random Modeling Of Adaptive Dynamics And Evolutionary Branching / S. Méléard -- Thoughts On The Geometry Of Meso-evolution : Collecting Mathematical Elements For A Postmodern Synthesis / J.a.j. (hans) Metz -- When Do Optimisation Arguments Make Evolutionary Sense? / M. Gyllenberg, J.a.j. (hans) Metz And R. Service. Fabio A.c.c. Chalub, José Francisco Rodrigues, Editors. Includes Bibliographical References And Index. Front Matter....Pages i-viii Preface....Pages 1-6 What Changes Has Mathematics Made to the Darwinian Theory?....Pages 7-26 The Mathematics of Darwin’s Theory of Evolution: 1859 and 150 Years Later....Pages 27-66 Some Mathematical Models in Evolutionary Genetics....Pages 67-89 Extinction, Persistence, and Evolution....Pages 91-104 Group Theory in Homogeneous Populations (Rescuing Darwin from the mud)....Pages 105-117 Evolutionary Dynamics of Collective Action....Pages 119-138 On Kin and Group Selection, and the Haystack Model....Pages 139-157 Population Formulation of Adaptative Meso-evolution: Theory and Numerics....Pages 159-174 Random Modeling of Adaptive Dynamics and Evolutionary Branching....Pages 175-192 Thoughts on the Geometry of Meso-evolution: Collecting Mathematical Elements for a Postmodern Synthesis....Pages 193-231 When Do Optimisation Arguments Make Evolutionary Sense?....Pages 233-268 Back Matter....Pages 269-293 The book contains a full range of articles, varying from general introductory texts to state-of-the-art research in biomathematics, with topics ranging from population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Advanced students and researchers in mathematics, biology and related fields will profit of 11 invited articles of leading researchers in the interface between evolutionary biology and mathematics written on the occasion of the sesquicentennial year of the publication of Darwin's masterpiece ""On the Origins of Spe