Dynamics and Economics of Shallow Lakes: A Survey

Dmitry Gromov and Thorsten Upmann
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Dmitry Gromov: Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, 199034 St. Petersburg, Russia
Thorsten Upmann: Helmholtz Institute for Functional Marine Biodiversity at the University of Oldenburg (HIFMB), D-23129 Oldenburg, Germany

Sustainability, 2021, vol. 13, issue 24, 1-16

Abstract: We provide an overview of the results devoted to the analysis of the dynamics and economics of shallow lakes, spanning the period from 1999 until now. A shallow lake serves as a typical representative of an ecological system subject to (possibly irreversible) regime shifts. The dynamics of a shallow lake are described by a non-linear model with multiple steady states and multiple domains of attraction and is thus suitable to model the evolution of an ecosystem featuring both resilience within a domain of stability and an abrupt regime shift outside of it. Beyond this, the shallow lake model can also be viewed as a metaphor for many other ecological problems. Due to the broad applicability of this model, there is substantial interest in the management of shallow lakes and both their optimal regulation and competitive usage.

Keywords: shallow lake; multiple equilibria; regime shifts; tipping points; optimal control; economic analysis; bifurcation analysis; threshold estimation (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:gam:jsusta:v:13:y:2021:i:24:p:13763-:d:701634

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