Bifurcations of optimal vector fields in the shallow lake model

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.

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ECOBAS — A tool to develop ecosystem models exemplified by the shallow lake model EMMO

Ecological Informatics ◽

10.1016/j.ecoinf.2008.01.003 ◽

2008 ◽

Vol 3 (2) ◽

pp. 154-169 ◽

Cited By ~ 3

Author(s):

Torsten Strube ◽

Joachim Benz ◽

Sascha Kardaetz ◽

Rainer Brüggemann

Keyword(s):

Shallow Lake ◽

Ecosystem Models ◽

Lake Model

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Ecological scenarios analyzed and evaluated by a shallow lake model

Journal of Environmental Management ◽

10.1016/j.jenvman.2007.01.037 ◽

2008 ◽

Vol 88 (1) ◽

pp. 120-135 ◽

Cited By ~ 13

Author(s):

Sascha Kardaetz ◽

Torsten Strube ◽

Rainer Brüggemann ◽

Gunnar Nützmann

Keyword(s):

Shallow Lake ◽

Lake Model

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Bifurcations of Optimal Vector Fields

Mathematics of Operations Research ◽

10.1287/moor.2014.0655 ◽

2015 ◽

Vol 40 (1) ◽

pp. 24-55 ◽

Cited By ~ 8

Author(s):

Tatiana Kiseleva ◽

Florian Wagener

Keyword(s):

Vector Fields ◽

Optimal Vector

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Dianchi Shallow Lake Management

10.1007/978-3-030-80234-9_3 ◽

2021 ◽

pp. 69-102

Author(s):

Florian Rankenhohn ◽

Tido Strauß ◽

Paul Wermter

Keyword(s):

Shallow Lake ◽

Model Uncertainty ◽

Lake Management ◽

Phosphorus Release ◽

Data Uncertainty ◽

Management Scenarios ◽

Lake Dianchi ◽

Sediment Dredging ◽

Lake Model ◽

Sediment Phosphorus Release

AbstractLake Dianchi in the Chinese province Yunnan is a shallow lake suffering from algae blooms for years due to high pollution. We conducted a thorough survey of the water quality of the northern part of the lake called Caohai. This study was intended as the basis for the system understanding of the shallow lake of Caohai. The study consisted of two steps. First we collected available environmental, hydrological and pollution data from Kunming authorities and other sources. It was possible to parameterise a lake model model based on the preliminary data set. It supported first estimations of management scenarios. But the first and quick answers came with a relevant vagueness. Relevant monitoring data was still missing like P release from lake-internal sediment.Because data uncertainty causes model uncertainty and model uncertainty causes planning and management uncertainties, we recommended and conducted a thorough sediment and river pollution monitoring campaign in 2017. Examination of the sediment phosphorus release and additional measurements of N and P was crucial for the improvement of the shallow lake model of Caohai. In May 2018 we presented and discussed the results of StoLaM shallow lake model of Caohai and the outcomes of a set of management scenarios.The StoLaM shallow lake model for Caohai used in SINOWATER indicates that sediment dredging could contribute to the control of algae by limitation of phosphorus, but sediment management can only produce sustainable effects when the overall nutrient input and especially the phosphorus input from the inflows will be reduced significantly.

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