# Stochastic communities: a mathematical theory of biodiversity

##### By: Dewdney, A. K.

Material type: BookPublisher: Boca Raton CRC Press 2017Description: xiv, 193p. With index.ISBN: 9781138197022.Subject(s): Population biology - Mathematical models | Species diversity - Mathematical models | Stochastic models | EcologyDDC classification: 577 Summary: Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the "J distribution." This distribution is a pure hyperbola and mathematically implied by the "stochastic species hypothesis" assigning equal probabilities of birth and death within the population of each species over varying periods of time. The J distribution in natural communities has strong empirical support resulting from a meta-study and strong theoretical support from a theorem that is mathematically implied by the stochastic species hypothesis. https://www.crcpress.com/Stochastic-Communities-A-Mathematical-Theory-of-Biodiversity/Dewdney/p/book/9781138197022Item type | Current location | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|

Books | Vikram Sarabhai Library General Stacks | Non-fiction | 577 D3S8 (Browse shelf) | Available | 199379 |

Table of Contents

1 The J-curve and the J distribution.

2 The J-distribution and its variations.

3 Sampling in practice and in theory.

4 Compiling and analysing field data.

5 Predictions from data.

6 Extending the sample.

7 Stochastic systems and the stochastic community.

8 The metastudy: A review.

9 Fossil J-curves.

10 Summary of theory and open problems.

Appendix A: Mathematical Notes and Computer Tools.

Appendix B: Results of the metastudy for the J distribution.

Appendix C: Results of the test for the J distribution in taxonomic data.

Stochastic Communities presents a theory of biodiversity by analyzing the distribution of abundances among species in the context of a community. The basis of this theory is a distribution called the "J distribution." This distribution is a pure hyperbola and mathematically implied by the "stochastic species hypothesis" assigning equal probabilities of birth and death within the population of each species over varying periods of time. The J distribution in natural communities has strong empirical support resulting from a meta-study and strong theoretical support from a theorem that is mathematically implied by the stochastic species hypothesis.

https://www.crcpress.com/Stochastic-Communities-A-Mathematical-Theory-of-Biodiversity/Dewdney/p/book/9781138197022

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