Abstract
Decisions under physically changing input, such as hydrometeorological input under global climate change, must be made under incomplete and uncertain information about the consequences of this change. To make these decisions, we argue that good system models are necessary. First, linear model have much to offer because of their well studied characteristics, which can help before trying to understand how complex behavior may occur on simple realistic models that are most of the time non linear systems. Second, changing a physical forcing function, even slightly, may induce radical changes of system behavior: it is thus imperative to identify the critical points of systems that can exhibit such bifurcations. Available algebraic system tools which have been designed for this task are briefly reviewed. Finally the difficulty in establishing a distinction between random and chaotic behavior is pointed out.
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References
André J.C. (1994). Numerical models for the simulation of natural and anthropogenic climate variations. This volume.
Beltrami E. (1987). Mathematics for Dynamic Modeling. Academic Press.
Bernier J. (1994a). Statistical detection of change in geophysical series. This volume.
Bernier J. (1994b). Quantitative analysis of uncertainties in water resources. Applications to changes effects prediction. This volume.
Caselton W.F. and Luo W. (1994). Inference and decision under near ignorance conditions. This volume.
Casti J. (1989). Alternate Realities: Mathematical Models of Nature and Man. John Wiley & Sons, New York.
Casti J. (1992). Reality rules: Picturing the World in Mathematics. Vols. I: The Fundamental, II: The Frontier. John Wiley & Sons, New York.
Duckstein L., Casti J. and Kempf J. (1979). Modeling phytoplancton dynamics using catastrophe theory. Water Resources Research, 15 (2): 1189–1194.
Duckstein L. and Parent E. (1994). Systems engineering of natural resources under changing physical conditions: A framework for reliability and risk. This volume.
Faure P., Clerget M. and Germain F. (1978). Operateurs Rationnels Positifs. Dunod Paris.
Faure P. and Robin M. (1984). Eléments d’Automatique. Dunod, Paris.
Ganoulis J., Duckstein L., Bogardi I. and Matyasovsky I. (1994). Water quality in coastal zones under variable climatic conditions. This volume.
Gleich J. (1987). Chaos: Making a New Science. Viking.
Jackson E.A. (1991). Perspectives of Non Linear dynamics. Cambridge University Press.
Krzysztofowicz R. (1994). Strategic decisions under nonstationary conditions: a stopping rule paradigm. This volume.
Lasota A. and Malkey M.(1994). Chaos, Fractals and Noise. Stochastic Aspects of Dynamics. Springer-Verlag. New-York.
Lotka A.J. (1932). The growth of mixed populations: two species competing for a common food supply. Journal of Washington Academy of Sciences (22): 461–469.
Lorenz E.N. (1963). Deterministic non periodic flows. Journal of Atmospheric Sciences, (20): 130–141.
Lorenz E.N. (1976). Non-deterministic theories of climate change. Quaternary Research, 6:495–506.
Lorenz E.N. (1991). Chaos, spontaneous climatic variations and detection of the greenhouse effect in Greenhouse-Gas-Induced climatic change: a critical appraisal of simulations and observations. Schlesinger, M.E., ed. Developments in Atmospheric Science (19). Elsevier.
Ott E., Grebogi C. and Yorke J. (1990). Controlling chaos. Physical Review Letters, 65 (26): 3211–3214.
Pavé A. (1990). Modélisation en biologie et en écologie. Internal Report. Université C. Bernard. Lyon 1.
Soncini-Sessa R. (1994). Design and control of water systems under nonsteady conditions. This volume.
Soncini-Sessa R. and Karbowski A. (1994). Design and control of water systems in presence of inflows scenarios. This volume.
Thorn R. (1975). Structural Stability and Morphogenesis. Benjamin. Reading, M.A.
Volterra L. (1931). Leçons sur la Théorie Mathématique de Lutte pour la Vie. Gauthier-Villars, Paris.
Waterstone M. (1994). Institutional analysis and water resources management. This volume.
Wymore A.W. (1993). Model-Based Systems Engineering. Boca Raton. FL: CRC Press.
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© 1994 Springer Science+Business Media Dordrecht
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Parent, E., Duckstein, L. (1994). Systems Engineering of Natural Resources under Changing Physical Conditions: State of the Art in Systems Modeling. In: Duckstein, L., Parent, E. (eds) Engineering Risk in Natural Resources Management. NATO ASI Series, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8271-1_2
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DOI: https://doi.org/10.1007/978-94-015-8271-1_2
Publisher Name: Springer, Dordrecht
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