000 02470cam a22002417a 4500
008 060711s2005 enka b 001 0 eng d
020 _a9780521539852
020 _a0521832209
082 0 4 _a577.8801519234
_bH2B7
100 1 _aHaccou, Patsy
_9333121
245 1 0 _aBranching processes: variation, growth, and extinction of populations
260 _aCambridge
_aNew York
_bCambridge University Press
_c2005
300 _axii, 316 p.
_c24 cm
440 0 _aCambridge studies in adaptive dynamics: 5
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504 _aTable 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.
520 _aBiology 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)
650 0 _aBranching processes
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650 0 _aPopulation biology
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700 1 _aJagers, Peter
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700 1 _aVatutin, V. A
_q(Vladimir Alekseevich)
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710 2 _aInternational Institute for Applied Systems Analysis
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942 _cBK
999 _c203495
_d203495