2020
DOI: 10.1002/lol2.10152
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Stochastic dynamics of Cyanobacteria in long‐term high‐frequency observations of a eutrophic lake

Abstract: Concentrations of phycocyanin, a pigment of Cyanobacteria, were measured at 1‐min intervals during the ice‐free seasons of 2008–2018 by automated sensors suspended from a buoy at a central station in Lake Mendota, Wisconsin, U.S.A. In each year, stochastic‐dynamic models fitted to time series of log‐transformed phycocyanin concentration revealed two alternative stable states and random factors that were much larger than the difference between the alternate stable states. Transitions between low and high states… Show more

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Cited by 32 publications
(38 citation statements)
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“…The method can be applied to a highly resolved time series of the collective state of interest; for example, the collective state could be group polarization (or group consensus), which quantifies the degree of directional alignment (or agreement among many choices) among group members. The method we describe can be traced to van Kampen [20,21] in the general context of stochastic processes in physics and chemistry, but was later developed further [13,22,23] and applied even in some biological studies [15,[24][25][26][27]. However, many important issues about the method-especially, the appropriate time scale needed to characterize such dynamics-although crucial, remain unresolved.…”
Section: Introductionmentioning
confidence: 99%
“…The method can be applied to a highly resolved time series of the collective state of interest; for example, the collective state could be group polarization (or group consensus), which quantifies the degree of directional alignment (or agreement among many choices) among group members. The method we describe can be traced to van Kampen [20,21] in the general context of stochastic processes in physics and chemistry, but was later developed further [13,22,23] and applied even in some biological studies [15,[24][25][26][27]. However, many important issues about the method-especially, the appropriate time scale needed to characterize such dynamics-although crucial, remain unresolved.…”
Section: Introductionmentioning
confidence: 99%
“…The theory of alternative stable states remains a central concept for the study and understanding of shallow lake systems (Carpenter et al, 2020;Dakos et al, 2019;Schallenberg, 2020). While the effects of INNS on shallow lakes are widely documented, there has been no attempt to systematically appraise the likely outcome of multiple taxonomic or functional groups on the recipient ecosystem.…”
mentioning
confidence: 99%
“…This pattern is captured in our Bimodal cluster, where the raw dominant wavelength values are significantly greener than those in any other cluster except for Aseasonal (Green). The summer-greening cluster captures eutrophic to hyper-eutrophic lakes featuring prolonged summer blooms with highly variable summer algal concentrations (Carpenter et al, 2020;Huisman et al, 2018). The characterization TOPP ET AL.…”
Section: Lake Seasonal Phenology Typesmentioning
confidence: 99%