Skip to main content
Log in

Dynamics of Global Climatic Changes and Possibility of Their Prediction Using Chemical Data from Greenland Ice

  • Published:
Mathematical Geology Aims and scope Submit manuscript

Abstract

Records from the Greenland Ice Sheet Project Two ice core are considered in terms of dynamical systems theory and nonlinear prediction. Dynamical systems theory allows us to reconstruct some properties of a phenomenon based only on past behavior without any mechanistic assumptions or deterministic models. A near-term prediction of temperature, including a mean estimate and confidence interval, is made for 800 years into the future. The prediction suggests that the present short-time global warming trend will continue for at least 200 years and be followed by a reverse in the temperature trend.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  • Davis, J. C., and Bohling, G., 2001, The search for patterns in ice core temperature curves, in Gerhard, L. C., Harrison, W. E., and Hanson, B. M., eds., Geological constraints on global climate: p. 213-230.

  • Farmer, J. D., and Sidorowich, J. J., 1987, Predicting chaotic time series: Phys. Rev. Lett., v.59, no.8, p. 845-848.

    Google Scholar 

  • Gorsuch, R., 1983, Factor analysis: Erlbaum, Hillsdale, NJ, 452p.

    Google Scholar 

  • Grassberger, P., and Procassia, I., 1983, Characterization of strange attractors: Phys. Rev. Lett., v.50, no.5, p 346-349.

    Google Scholar 

  • Hansen, J. G., Russell, G., Rind, O., Stano, P., Lacis, A., Lebedeff, S., Ruedy, R., and Travis, J., 1983, Efficient three-dimensional global models for climate studies: Models I and II: Monthly Weather Rev., v.111, no.4, p. 609-662.

    Google Scholar 

  • Hegger, R., Kantz, H., and Schreiber, T., 1999, Practical implementation of nonlinear time series methods: The TISEAN package: Chaos, v.9, no.2, p. 413-435.

    Google Scholar 

  • Hentschel H., and Procaccia I., 1983, The infinite number of generalized dimensions of fractals and strange attractors: Physica D, v.8, p. 435-444.

    Google Scholar 

  • Imbrie, J., Berger, A., and Shackleton, N., 1993, Role of orbital forcing: A two-million-years perspective, in Eddy, J., and Oeschger, H., eds., Global changes in the perspective of the past: Wiley, Chichester, UK, p. 263-277.

    Google Scholar 

  • Johnsen, S., Dansgaard, W., and White, J., 1992, The origin of arctic precipitation under present and glacial conditions: Tellus, v.B41, p. 452-468.

    Google Scholar 

  • Kotov, S. R., 2000, The behavior of weather in terms of dynamical systems theory and chemical records in Greenlandic ice: Kansas Geological Survey Open File Report 2000-11, 16p.

  • Lorenz, E., 1963, Deterministic non-periodic flow: J. Atmos. Sci., v.20, p. 130-141.

    Google Scholar 

  • Lowe, J. J., and Walker, M. J., 1998, Reconstructing quaternary environments, 2nd ed.: Longman, White Plains, NY, 446p.

    Google Scholar 

  • Mandelbrot, B., 1977, Fractals: Form, chance and dimension: Freeman, San Francisco, 346p.

    Google Scholar 

  • Mayewski, P. A., Meekee, L. D., Twickler, M. S., Whitlou, S. I., Yang, Q., Lyous, U. B., and Prentice, M., 1997, Major features and forcing of high-latitude northern hemisphere atmospheric circulation using a 110,000-year-long glaciochemical series: J. Geophys. Res., v.102, no.C12, p. 26345-26366.

    Google Scholar 

  • Russell, G. L., Miller, J. R., and Rind, D. A., 1995, coupled atmosphere–ocean model for transient climate change studies: Atmosphere–Ocean, v.33, p. 683-730.

    Google Scholar 

  • Sauer, T., Yorke, J., and Casdagli, M. 1991, Embedology: J. Stat. Phys., v.65, p. 579-616.

    Google Scholar 

  • Takens, F., 1981, Detecting strange attractor in turbulence: Lecture notes in mathematics, v.898, p. 366-381.

    Google Scholar 

  • Theiler J., 1990, Spurious dimension from correlation algorithms applied to limited time-series data: J. Opt. Soc. Am. v.A7, p. 1055.

    Google Scholar 

  • Weigend, A. S., and Gershenfeld, N. A., 1994, (Ed). Time series prediction: Addison-Wesley, Reading, MA, 643p.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kotov, S.R. Dynamics of Global Climatic Changes and Possibility of Their Prediction Using Chemical Data from Greenland Ice. Mathematical Geology 35, 477–491 (2003). https://doi.org/10.1023/A:1024850108950

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024850108950

Navigation