Eisenack, Klaus
[Verfasser:in]
;
-Ing. Rupert Klein
[Mitwirkende:r];
Patrick Saint-Pierre
[Mitwirkende:r]
Model Ensembles for Natural Resource Management ; Extensions of qualitative differential equations using graph theory and viability theory ; Modell-Ensembles für das Management natürlicher Ressourcen ; Erweiterungen von Qualitativen Differentialgleichungen unter Verwendung von Graphentheorie und Viabilitätstheorie
Titel:
Model Ensembles for Natural Resource Management ; Extensions of qualitative differential equations using graph theory and viability theory ; Modell-Ensembles für das Management natürlicher Ressourcen ; Erweiterungen von Qualitativen Differentialgleichungen unter Verwendung von Graphentheorie und Viabilitätstheorie
Beteiligte:
Eisenack, Klaus
[Verfasser:in]
Erschienen:
Freie Universität Berlin: Refubium (FU Berlin), 2006
Anmerkungen:
Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
Beschreibung:
Front Matter: Title page, Preface, Contents, Notations and Concepts 1\. Introduction 2\. Qualitative Reasoning with Model Ensembles 2.1 Model Ensembles and Set-Valued Solution Operators 2.2 Qualitative Differential Equations 2.3 Differential Inclusions 2.4 Viability Theory 3\. Abstraction and Restriction Techniques 3.1 No-Return Abstraction 3.2 Marginal Edges 3.3 Ordinal Assumptions 3.4 Quantitative Bounds 4\. Management of Natural Resources 4.1 Land-Use Changes in Developing Countries 4.2 Capital Accumulation in Unregulated Fisheries 4.3 Participatory Fishery Management 4.4 Lake Management 5\. Conclusions Annex: Model Code Back Matter: Bibliography, Lebenslauf, Zusammenfassung ; The thesis studies infinite ensembles of ordinary differential equations with common monotonicity properties as they typically appear in sustainability research. New methods to process such ensembles are developed and applied for the model-based analysis of different sustainable resource use problems. Qualitative differential equations (QDEs) and differential inclusions are embedded into the new formal framework of model ensembles. A model ensemble is defined as a set of functions on a state space which specify initial value problems. For a QDE a matrix of signs is prescribed, and the model ensemble is the set of all functions where the coefficients of the Jacobian have the same signs as the coefficients of the prescribed matrix. The new methods are applied to the impoverishment-degradation spiral in developing countries, to fisheries management (in particular industrialised deep-sea fishery and participatory management), and to water management to avoid eutrophication. These applications pose special challenges for modelling, in particular knowledge uncertainties and the demand for generalisable results. It is shown that model ensembles are adequate for these challenges. Based on a new graph theoretical formulation of QDEs, four innovative techniques for the analysis of large QDEs are developed. For that, viability theory is used ...