Amazon cover image
Image from Amazon.com

Branching processes: variation, growth, and extinction of populations

By: Contributor(s): Material type: TextTextSeries: Cambridge studies in adaptive dynamics: 5Publication details: Cambridge New York Cambridge University Press 2005Description: xii, 316 p. 24 cmISBN:
  • 9780521539852
  • 0521832209
Subject(s): DDC classification:
  • 577.8801519234 H2B7
Summary: 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. Important for all fields in biology: written with a broad scope Important for mathematicians, in particular probabilists, statisticians and applied mathematicians Of interest for PhD students as well as established scientists Contains contributions from many eminent and well-known scientists (http://www.cambridge.org/us/academic/subjects/life-sciences/evolutionary-biology/branching-processes-variation-growth-and-extinction-populations?format=PB)
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Item location Collection Shelving location Call number Status Date due Barcode
Books Vikram Sarabhai Library Rack 33-A / Slot 1709 (2nd Floor, East Wing) Non-fiction General Stacks 577.880151 9234 H2B7 (Browse shelf(Opens below)) Available 192184

Table of Contents

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.

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.

Important for all fields in biology: written with a broad scope
Important for mathematicians, in particular probabilists, statisticians and applied mathematicians
Of interest for PhD students as well as established scientists
Contains contributions from many eminent and well-known scientists

(http://www.cambridge.org/us/academic/subjects/life-sciences/evolutionary-biology/branching-processes-variation-growth-and-extinction-populations?format=PB)

There are no comments on this title.

to post a comment.