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| Titel |
Topology of Sustainable Management of Dynamical Systems with Desirable States |
| VerfasserIn |
Jobst Heitzig, Tim Kittel |
| Konferenz |
EGU General Assembly 2015
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 17 (2015) |
| Datensatznummer |
250106024
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| Publikation (Nr.) |
 EGU/EGU2015-5653.pdf |
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| Zusammenfassung |
| To keep the Earth System in a desirable region of its state space, such as the recently
suggested “tolerable environment and development window”, “planetary boundaries”, or
“safe (and just) operating space”, in addition to the identification of the quantitative internal
dynamics and the available options for influencing it (management), there is an urgent need to
understand the systems’ state space structure with regard to questions such as (i) which of its
parts can be reached from which others with or without leaving the desirable region, (ii)
which parts are in a variety of senses “safe” to stay in when management options break
away, and which qualitative decision problems may occur as a consequence of this
structure.
To complement existing approaches from optimal control focusing on quantitative
optimization and being much applied in both engineering and integrated assessment, we
develop a mathematical theory of the qualitative topology that partitions the state space
of a dynamical system with management options and desirable states including
terminology suggestions for the various resulting parts. Our detailed formal classification
of the possible states and management options with respect to the possibility of
avoiding or leaving the undesired region indicates that before performing some form of
quantitative optimization, the sustainable management of the Earth System may
require decisions of a more discrete type, e.g. choosing between ultimate safety and
permanent desirability, or between permanent safety and increasing future options. |
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