000 | 02470cam a22002417a 4500 | ||
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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 |
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300 |
_axii, 316 p. _c24 cm |
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440 | 0 |
_aCambridge studies in adaptive dynamics: 5 _9333122 |
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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 _9333123 |
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650 | 0 |
_aPopulation biology _9333124 |
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700 | 1 |
_aJagers, Peter _9333125 |
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700 | 1 |
_aVatutin, V. A _q(Vladimir Alekseevich) _9333126 |
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710 | 2 |
_aInternational Institute for Applied Systems Analysis _9333127 |
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942 | _cBK | ||
999 |
_c203495 _d203495 |