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Did we miss some evidence of chaos in laboratory insect populations?
Author(s) -
Ma Zhanshan Sam
Publication year - 2011
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/s10144-010-0232-7
Subject(s) - chaotic , biology , range (aeronautics) , population , chaos (operating system) , statistics , logistic function , documentation , logistic regression , econometrics , ecology , statistical physics , mathematics , demography , computer science , artificial intelligence , physics , engineering , computer security , sociology , programming language , aerospace engineering
The collection and documentation of the experimental evidence of chaos in biological populations have always been elusive. We were puzzled by the observation that the most frequently computed demographic parameter for laboratory insect populations, the population intrinsic rate of increase ( r m ), seems too small to induce chaotic dynamics. For example, when it is directly utilized as an approximation to the parameter ( a ) of the one‐parameter discrete logistic model, the parameter seems well out of the chaotic range. In a recent reanalysis of our early laboratory demographic data of 1800 Russian wheat aphids (RWA), we discovered that a proper measure unit conversion should be performed to make the link between r m and the discrete logistic model. We think that this conversion issue may have been ignored historically in biological literature since we are not aware of any uses of the r m in the discussion of chaos. It should be noted that r m is different from the r in discrete logistic model (e.g., May in Nature 261:459–467, 1976). Since extensive demographic data purported to estimate r m have been accumulated in literature on population growth, the finding revealed with our RWA experiment data can easily be verified with the published data in literature. We near‐arbitrarily surveyed 10 studies (containing 37 datasets of r m ) published in the literature and archived in JSTOR or BioOne databases to test the conversion, and the results confirmed our finding. The finding should significantly expand the evidence base of chaos in laboratory populations of insects and possibly microorganisms, too.

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