Multi-parameter Uncertainty Analysis of a Bifurcation Point : Volume 13, Issue 5 (10/10/2006)

Our results show that the occurrence of the bifurcation point is robust over a wide range of parameter values. The position of the bifurcation, however, is found to be sensitive on these specific parameter choices.

Summary
Multi-parameter uncertainty analysis of a bifurcation point

Excerpt
MODIS:http://modis-atmos.gsfc.nasa.gov/ALBEDO/index.html, 2006.; Budyko, M.: The Earth's climate, vol. 29 of \em International Geophysics Series\/, Academic Press, New York, 1982.; Burns, S., Fleitmann, D., Matter, A., Kramers, J., and Al-Subbary, A.: Indian Ocean climate and an absolute chronology over Dansgaard/Oeschger events 9 to 13, Science, 301, 1365–1367, 2003.; Campolongo, F., Cariboni, J., Saltelli, A., and Schoutens, W.: Enhancing the Morris Method, in Sensitivity Analysis of Model Output. Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO 2004), pp. 369–379, Los Alamos National Laboratory, Los Alamos, 2005.; Dickinson, R. E., Henderson-Sellers, A., Kennedy, P., and Wilson, M.: Biosphere-Atmosphere Transfer Scheme (BATS) for the NCAR Community Climate Model, Tech. rep., NCAR/TN-275+STR, NCAR, Boulder, Colorado, 1986.; Doedel, E. J.: AUTO: A program for the automatic bifurcation analysis of autonomous systems, in: Proceedings of the 10th Manitoba Conference on Numerical Mathematics and Computing, pp. 265–284, University of Manitoba, Winnipeg, Canada, 1981.; Flechsig, M., Böhm, U., Nocke, T., and Rachimow, C.: Techniques for Quality Assurance of Models in a Multi-Run Simulation Environment, in: Sensitivity Analysis of Model Output, Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO 2004), edited by K. M. Hanson and F. M. Hemez, pp. 297–230, Los Alamos National Laboratory, Los Alamos, USA, 2005.; Forest, C., Stone, P., Sokolov, A., Allen, M., and Webster, M.: Quantifying Uncertainties in Climate System Properties with the Use of Recent Climate Observations, Science, 295, 113–117, 2002.; Gross, T. and Feudel, U.: Generalized models as a universal approach to the analysis of nonlinear dynamical systems, Physical Review E, 73, 016 205, 2006.; Gupta, A., Anderson, D., and Overpeck, J.: Abrupt changes in the Asian southwest monsoon during the Holocene and their links to the North Atlantic Ocean, Nature, 421, 354–357, 2003.; Hansen, J., Russell, G., Rind, D., Stone, P., Lacis, A., Lebedeff, S., Ruedy, R., and Travis, L.: Efficient three-dimensional global models for climate studies: Models I and II, Mon. Wea. Rev., 11, 609–662, 1986.; Held, H. and Kleinen, T.: Detection of climate system bifurcations by degenerate fingerprinting, Geophys. Res. Lett., 31, L23 207, doi:10.1029/2004GL020972, 2004.; Kalnay, E., Kanamitsu, M., Kistler, R., Collins, W., Deaven, D., Gandin, L., Iredell, M., Saha, S., White, G., Woollen, J., Zhu, Y., Chelliah, M., Ebisuzaki, W., Higgins, W., Janowiak, J., Mo, K. C., Ropelewski, C., Wang, J., Leetmaa, A., Reynolds, R., Jenne, R., and Joseph, D.: The NMC/NCAR 40-Year Reanalysis Project, Bull. Amer. Meteor. Soc., 77, 437–471, data available at http://www.cdc.noaa.gov/, 1996.; Knutti, R., Stocker, T. F., Joos, F., and Plattner, G.-K.: Constraints on radiative forcing and future climate change from observations and climate model ensembles, Nature, 416, 719–723, 2002.; Kripalani, R. H., Kulkarni, A., Sabade, S. S., and Khandekar, M. L.: Indian Monsoon Variability in a Global Warming Scenario, Natural Hazards, 2003.; Kumar Mittal, A., Dwivedi, S., and Chandra Pandey, A.: Bifurcation analysis of a paradigmatic model of monsoon prediction, Nonlin. Processes Geophys., 12, 707–715, 2005.; Kuznetsov, Y. A., Levitin, V. V., and Skovoroda, A.: Continuation of stationary solutions to evolution problems in CONTENT, Tech. Rep. AM-R9611, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands, 1997.; Longworth, H., Marotzke, J., and Stocker, T. F.: Ocean Gyres and Abrupt Change in the Thermohaline Circulation: A Conceptual Analysis, J. Clim., 18, 2403–2416, 2005.; May, W.: Simulated changes o