A simple explanation for taxon abundance patterns
Open Access
- 21 December 1999
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 96 (26) , 15017-15019
- https://doi.org/10.1073/pnas.96.26.15017
Abstract
For taxonomic levels higher than species, the abundance distributions of the number of subtaxa per taxon tend to approximate power laws but often show strong deviations from such laws. Previously, these deviations were attributed to finite-time effects in a continuous-time branching process at the generic level. Instead, we describe herein a simple discrete branching process that generates the observed distributions and find that the distribution's deviation from power law form is not caused by disequilibration, but rather that it is time independent and determined by the evolutionary properties of the taxa of interest. Our model predicts—with no free parameters—the rank-frequency distribution of the number of families in fossil marine animal orders obtained from the fossil record. We find that near power law distributions are statistically almost inevitable for taxa higher than species. The branching model also sheds light on species-abundance patterns, as well as on links between evolutionary processes, self-organized criticality, and fractals.Keywords
All Related Versions
This publication has 15 references indexed in Scilit:
- How self-organized criticality works: A unified mean-field picturePhysical Review E, 1998
- Self-organized criticality in living systemsPhysics Letters A, 1995
- Evolution as a self-organized critical phenomenon.Proceedings of the National Academy of Sciences, 1995
- The Fractal Geometry of EvolutionJournal of Theoretical Biology, 1993
- The fractal dimension of taxonomic systemsJournal of Theoretical Biology, 1990
- Self-organized criticalityPhysical Review A, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Minimal Community Structure: An Explanation of Species Abundance PatternsThe American Naturalist, 1980
- The Canonical Distribution of Commonness and Rarity: Part IIEcology, 1962
- The Canonical Distribution of Commonness and Rarity: Part IEcology, 1962