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Mathematics of Planet EarthMultistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments

Mathematics of Planet Earth: Multistability in Ecosystems: Concerns and Opportunities for... [Ecosystems are highly nonlinear dissipative systems characterized by multiplicity of stable and unstable states. Two major concerns are associated with multistable ecosystems in variable environments. The first is related to the increased likelihood of extreme climate events at regional scales, such as droughts, floods, and heat waves, that may result in abrupt transitions to malfunctioning ecosystem states. The second concern is related to the dominant role played by humans in shaping and transforming the ecology of the Earth, and to the detrimental effects that such transformations often have. Using mathematical models of dryland ecosystems as a case study, we discuss recent advances that shed new light on these concerns. We first argue that state transitions can be gradual or incomplete rather than abrupt, providing opportunities for prevention and recovery. We further argue that analyzing the unstable states that exist along with the stable ones, identifying their existence ranges and their stable and unstable manifolds, can help to devise human intervention forms that direct ecosystems towards desired functional ecosystem states, without impairing ecosystem function. We conclude by presenting open problems and delineating further research directions.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematics of Planet EarthMultistability in Ecosystems: Concerns and Opportunities for Ecosystem Function in Variable Environments

Part of the Mathematics of Planet Earth Book Series (volume 5)
Editors: Kaper, Hans G.; Roberts, Fred S.
Meron, Ehud; Mau, Yair; Zelnik, Yuval R.
Mathematics of Planet Earth — Nov 2, 2019
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25 pages

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References (98)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-22043-3
Pages
177 –202
DOI
10.1007/978-3-030-22044-0_7
Publisher site
See Chapter on Publisher Site

Abstract

[Ecosystems are highly nonlinear dissipative systems characterized by multiplicity of stable and unstable states. Two major concerns are associated with multistable ecosystems in variable environments. The first is related to the increased likelihood of extreme climate events at regional scales, such as droughts, floods, and heat waves, that may result in abrupt transitions to malfunctioning ecosystem states. The second concern is related to the dominant role played by humans in shaping and transforming the ecology of the Earth, and to the detrimental effects that such transformations often have. Using mathematical models of dryland ecosystems as a case study, we discuss recent advances that shed new light on these concerns. We first argue that state transitions can be gradual or incomplete rather than abrupt, providing opportunities for prevention and recovery. We further argue that analyzing the unstable states that exist along with the stable ones, identifying their existence ranges and their stable and unstable manifolds, can help to devise human intervention forms that direct ecosystems towards desired functional ecosystem states, without impairing ecosystem function. We conclude by presenting open problems and delineating further research directions.]

Published: Nov 2, 2019

Keywords: Dryland ecosystems; Vegetation patterns; Multistability; Front dynamics; Abrupt and gradual state transitions; Human intervention

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