Optimization of a non-linear dynamical system for global climate change

European Journal of Operational Research

Volumn 99, Issue 2, 1997, Pages 322-335

  Janssen, Marco A ^a,b  

^a MAASTRICHT UNIVERSITY   (Netherlands)

^b NATIONAL INSTITUTE FOR PUBLIC HEALTH AND THE ENVIRONMENT   (Netherlands)

Author keywords

Climate change; CO2; Non linear optimization

Indexed keywords

CARBON DIOXIDE; ENVIRONMENTAL IMPACT; GREENHOUSE EFFECT; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION;

NONLINEAR OPTIMIZATION;

CLIMATE CHANGE;

EID: 0031165195     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(96)00014-8     Document Type: Article

References (29)

1. AGGG (1990), "Targets and indicators of climate change", in: Rijsberman and Swart (eds.), Report of Working Group II of the Advisory Group on Greenhouse Gases (AGGG), Stockholm Environmental Institute, Stockholm, Sweden.
2. Braddock, R.D., Filar, J.A., Zapert, R., Rotmans, J., and den Elzen, M.G.J. (1994), "The IMAGE model as a mathematical system", Applied Mathematical Modelling 18, May, 234-254.
3. Dowlatabadi, H. (1994), "Integrated assessment of climate change: An incomplete overview", in: N. Nakićenović, W.D. Nordhaus, R. Richels, and F.L. Toth (eds.), Integrative Assessment of Mitigation, Impacts, and Adaptation to Climate Change, 105-118, CP-94-0, IIASA, Laxenburg, Austria.
4. Filar, J.A., Gaertner, P.S., and Janssen, M.A. (1995), "An application of optimization to the problem of climate change", in: C.A. Floudas and P.M. Pardalos (eds.), State of the Art Global Optimization: Computational Methods and Applications, Kluwer Academic Publishers, Borton, USA (to appear).
5. Haimes, Y.Y., and Wismer, D.A. (1972), "A computational approach to the combined problem of optimization and parameter identification", Automatica 8, 337-347.
6. Hock, W., and Schittkowski, K. (1983), "A comparative performance evaluation of 27 nonlinear programming codes", Computing 30, 335-358.
7. IPCC (Intergovernmental Panel on Climate Change) (1991), Climate Change: The IPCC Response Strategies, Island Press.
8. Janssen, M.A., Rotmans, J., and Vrieze, O.J. (1995), "Climate change: Optimization of response strategies", International Transactions in Operations Research 2, 1-15.
9. Janssen, M.A., and Vrieze, O.J. (1995), "Sequential reduced-system programming", Reports in Operations Research and Systems Theory, M-95-4, University of Limburg, Maastricht, the Netherlands.
10. Janssen, M.A. (1995), "Optimization of a non-linear dynamical system for global climate change", Globo Working paper 95-1, RIVM. Bilthoven, the Netherlands.
11. Krause, P., Bach, W., and Koomey, J. (1989), Energy Policy in the Greenhouse, Volume One: from Warning Limit to Benchmarks for a Global Climate Convention, IPSEP.
12. Luenberger, D.G. (1984). Introduction to Linear and Nonlinear Programming, Addison-Wesley, Menlo Park, CA, USA.
13. Manne, A., Mendelsohn, R., and Richels, R. (1994), "MERGE: A model for evaluating regional and global effects of GHG reduction policies", in: N. Nakićenović, W.D. Nordhaus, R. Richels, and F.L. Toth (eds.), Integrative Assessment of Mitigation, Impacts, and Adaptation to Climate Change, 143-172, CP-94-0, IIASA, Laxenburg, Austria.
14. MATLAB (1992), "Optimisation toolbox: For use with MAT-LAB", The Math Works Inc., Vol. 10.
15. Nemhauser, G.L., Rinnooy Kan, A.H.G., and Todd, M.J. (1989), Optimization. Handbooks in Operations Research and Management Science, Vol. 1, North-Holland, Amsterdam, the Netherlands.
16. Nordhaus, W.D. (1991), "To slow or not to slow: The economics of the greenhouse effect", The Economic Journal 101, 920-937.
17. Nordhaus, W.D. (1992), "An optimal transition path for controlling greenhouse gases", Science 258, 1315-1319.
18. Nordhaus, W.D. (1993), "Rolling the 'DICE': An optimal transition path for controlling greenhouse gases", Resource and Energy Economics 15, 27-50.
19. Nordhaus, W.D. (1994), Managing; the Global Commons: The Economics of Climate Change, MIT Press, Cambridge, MA, USA.
20. 2 emissions control: Comparing policy instruments", Energy Policy, 222-230.
21. Press, W.H., Flannery, B.P., Teukolsky, S.A. and Vetterling, W.T. (1988), Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, Cambridge.
22. 2", Resource and Energy Economics 17/1, 87-97.
23. Ramsey, F.P. (1928), "A mathematical theory of saving", The Economic Journal, 543-559.
24. Rotmans, J. (1990), IMAGE: An Integrated Model to Assess the Greenhouse Effect, Ph.D. Thesis, Kluwer Academic Publishers, Dordrecht, The Netherlands.
25. Rotmans, J., Hulme, M., and Downing, T. (1994), "Climate implications for Europe: An application of the ESCAPE model". Global Environmental Change 4/2, 97-124.
26. 2 reduction programs", Max-PlanckInstitut für Meteorologie, Report No. 105, Hamburg, May 1993.
27. Wigley, T.M.L., Holt, T., and Raper, S.C.B. (1991), "STUGE: an interactive greenhouse model: Users manual", Climate Research Unit, Norwich.
28. Wolfe, P. (1959), "The simplex method for quadratic programming", Econometrica 27, 382-398.
29. Zapert, R. (1994), Uncertainty Analysis of Enhanced Greenhouse Effect Models, Ph.D. Thesis, University of Maryland, Baltimore County, Maryland, USA.