Branching Processes

Variation, Growth, and Extinction of Populations
Erscheinungsjahr 2007
ISBN: 978-0-521-83220-5
Verlag: Cambridge University Press

Buch, Englisch, Band 5, 330 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 691 g

Reihe: Cambridge Studies in Adaptive Dynamics

Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most fundamental of biological processes. This active and rich research area allows us to make predictions about both extinction risks and the development of population composition, and also uncovers aspects of a population's history from its current genetic composition. Branching processes play an increasingly important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This book presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians.

Autoren/Hrsg.

Haccou, Patsy

Jagers, Peter

Vatutin, Vladimir A.

Fachgebiete

• Naturwissenschaften Biowissenschaften Biowissenschaften Evolutionsbiologie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Naturwissenschaften Biowissenschaften Biowissenschaften Terrestrische Ökologie
• Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie
• Naturwissenschaften Biowissenschaften Biowissenschaften Meeres- und Süßwasserökologie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Naturwissenschaften Biowissenschaften Biowissenschaften Naturschutzbiologie, Biodiversität

Inhaltsverzeichnis

Authors; Acknowledgements; Notational standards; 1. Generalities; 2. Discrete-time branching processes; 3. Branching in continuous time; 4. Large populations; 5. Extinction; 6. Development of populations; 7. Specific models; Appendix; References; Index.

Über Autor(innen)

Jagers, Peter
PETER JAGERS is Professor of Mathematical Statistics at the Chalmers University of Technology and Gothenburg University. He is a member of the Swedish Academy of Sciences. He is author of Branching Processes with Biological Applications and co-editor of Classical and Modern Branching Processes.

Vatutin, Vladimir A.
VLADIMIR VATUTIN is leading Researcher at the Steklov Mathematical Institute, Moscow, Russia. He is co-author of Probabilistic Methods in Physical Research.

Haccou, Patsy
PATSY HACCOU is Associate Professor of Mathematical Biology at the Institute of Biology, Leiden University. She is co-author of Statistical Analysis of Behavioural Data.