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Taylor's Law holds in experimental bacterial populations but competition does not influence the slope
Author(s) -
Johan Ramsayer,
Simon Fellous,
Joel E. Cohen,
Michael Hochberg
Publication year - 2011
Publication title -
biology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.596
H-Index - 110
eISSN - 1744-957X
pISSN - 1744-9561
DOI - 10.1098/rsbl.2011.0895
Subject(s) - biology , taylor series , competition (biology) , ecology , variance (accounting) , population , power law , spatial ecology , population size , spatial variability , spatial heterogeneity , species richness , law , statistics , mathematics , mathematical analysis , demography , economics , sociology , accounting , political science
Populations vary in time and in space, and temporal variation may differ from spatial variation. Yet, in the past half century, field data have confirmed both the temporal and spatial forms of Taylor's power Law, a linear relationship between log(variance) and log(mean) of population size. Recent theory predicted that competitive species interactions should reduce the slope of the temporal version of Taylor's Law. We tested whether this prediction applied to the spatial version of Taylor's Law using simple, well-controlled laboratory populations of two species of bacteria that were cultured either separately or together for 24 h in media of widely varying nutrient richness. Experimentally, the spatial form of Taylor's Law with a slope of 2 held for these simple bacterial communities, but competitive interactions between the two species did not reduce the spatial Taylor's Law slope. These results contribute to the widespread usefulness of Taylor's Law in population ecology, epidemiology and pest control.

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