ArticleProceedings. Biological sciences2013
Stochastic multiplicative population growth predicts and interprets Taylor's power law of fluctuation scaling.
Article in Proceedings. Biological sciences, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed.
- Taylor's law of fluctuation scaling for semivariances and higher moments of heavy-tailed data.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Taylor's Law in Innovation Processes.Entropy (Basel, Switzerland) · 2020Article
- Assessing and Interpreting the Metagenome Heterogeneity With Power Law.Frontiers in microbiology · 2020Article
- Chagas disease vector control and Taylor's law.PLoS neglected tropical diseases · 2017Article
- Tornado outbreak variability follows Taylor's power law of fluctuation scaling and increases dramatically with severity.Nature communications · 2016Article
- Sample and population exponents of generalized Taylor's law.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
- Random sampling of skewed distributions implies Taylor's power law of fluctuation scaling.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
- Parasitism alters three power laws of scaling in a metazoan community: Taylor's law, density-mass allometry, and variance-mass allometry.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
- Fluctuation scaling, Taylor's law, and crime.PloS one · 2014Article
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3 authors.
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Abstract
Taylor's law (TL) asserts that the variance of the density (individuals per area or volume) of a set of comparable populations is a power-law function of the mean density of those populations. Despite the empirical confirmation of TL in hundreds of species, there is little consensus about why TL is so widely observed and how its estimated parameters should be interpreted. Here, we report that the Lewontin-Cohen (henceforth LC) model of stochastic population dynamics, which has been widely discussed and applied, leads to a spatial TL in the limit of large time and provides an explicit, exact interpretation of its parameters. The exponent of TL exceeds 2 if and only if the LC model is supercritical (growing on average), equals 2 if and only if the LC model is deterministic, and is less than 2 if and only if the LC model is subcritical (declining on average). TL and the LC model describe the spatial variability and the temporal dynamics of populations of trees on long-term plots censused over 75 years at the Black Rock Forest, Cornwall, NY, USA.
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