01861aam a2200181 4500008004500000020001800045082001400063100001900077245006600096260003200162300002700194504056200221520077300783650004501556650004401601650002201645650001201667190509b 2017 ||||| |||| 00| 0 eng d a9781138197022 a577bD3S8 aDewdney, A. K. aStochastic communities: a mathematical theory of biodiversity bCRC Pressc2017aBoca Raton axiv, 193p.bWith index aTable 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. aStochastic 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 aPopulation biology - Mathematical models aSpecies diversity - Mathematical models aStochastic models aEcology