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• W2119225971 abstract "Taylor's law (TL), widely verified in empirical ecology, states that the variance of population density approximates a power function of the mean population density, with exponent denoted b. A model of multiplicative increments in population density, where the increments are determined by a Markovian environment, predicts TL with an explicit formula for b. We give a simple theoretical example where, unexpectedly, smooth changes in environmental autocorrelation lead to an abrupt, infinite discontinuity in b. As the daily probability of change in environmental state increases from 0 to 1, b rises from 2 slowly at first, then explodes to +∞ when the population becomes critical, drops to -∞, and rises again to 2. In this model, an exponent b of large magnitude (positive or negative) signals the proximity of a population's criticality and of a singularity in b. A comparable real-world singularity in b could adversely affect fisheries, forestry, agriculture, conservation, and public health." @default.
• W2119225971 created "2016-06-24" @default.
• W2119225971 creator A5010543213 @default.
• W2119225971 date "2013-09-12" @default.
• W2119225971 modified "2023-10-16" @default.
• W2119225971 title "Taylor's law and abrupt biotic change in a smoothly changing environment" @default.
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• W2119225971 doi "https://doi.org/10.1007/s12080-013-0199-z" @default.
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