Skip to main content

Application of inverse modelling techniques to palaeoclimatic data

  • Conference paper
Palaeoclimatic Research and Models

Abstract

The method of inverse modelling is summarized and illustrated by examples from short-term climate modelling. The application of the technique to palaeoclimatic data is demonstrated by developing a general method for the construction of linear climate response models simulaneously with the time calibration of core records. The approach admits full variability of the time-depth calibration curve under defined integral constraints while determining the optimal linear climate response to astronomical forcing consistent with general dynamical side conditions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Backus, G.E., and J.F. Gilbert, 1967. Numerical applications of a formalism for geophysical inverse problems, Geophys. J.R. Astron. Soc. 13, 247–276.

    Google Scholar 

  • Barnett, T.P., and K. Hasselmann, 1979. Techniques of linear prediction, with application to oceanic and atmospheric fields in the tropical pacific. Reviews of Geophys. and Space Physics 17, 949–968.

    Article  Google Scholar 

  • Berger, A., J. Guiot, G. Kukla, and P. Pestiaux, 1981. Long-term variations of monthly insolation as related to climatic changes, Geologische Rundschau 70, 748–758.

    Article  Google Scholar 

  • Box, G.E.P., and G.M. Jenkins, 1976. Time Series Analysis, Forecasting and Control, Holden-Day, San Francisco, Calif.

    Google Scholar 

  • Bruns, T., 1981. Unpubl. Diplomarbeit (Master Thesis), Universitaet Hamburg, 71 pp.

    Google Scholar 

  • Davis, R.E., 1977. Techniques for statistical analysis and prediction of geophysical fluid systems, Geophys. Astrophys. Fluid Dyn. 8, 245–277.

    Article  Google Scholar 

  • Davis, R.E., 1978. Predictability of sea level pressure anomalies over the North Pacific Ocean, J. Phys. Oceanogr. 8, 233–246.

    Article  Google Scholar 

  • Gilbert, J.F., 1971. Ranking and winnowing gross earth data for inversion and resolution, Geophys. J.R. Astron. Soc. 23, 125–128.

    Google Scholar 

  • von Grafenstein, R., 1982. Unpubl. Diplomarbeit (Master Thesis), Universitaet Kiel, 67 pp.

    Google Scholar 

  • Hasselmann, K., 1979. Linear statistical models. Dyn. Atmos. Oceans 3, 501–521.

    Article  Google Scholar 

  • Hasselmann, K., and T.P. Barnett, 1981. Techniques of linear prediction for systems with periodic statistics, J. Atm. Sci. 38, 2275–2283.

    Article  Google Scholar 

  • Hays, J.D., J. Imbrie, and N.J. Shackleton, 1976. Variations in the Earth’s orbit: pacemaker of the ice ages. Science 194, 1121–1132.

    Article  Google Scholar 

  • Herterich, K., and M. Sarnthein, 1983. Brunhes time scale: tuning by rates of calcium-carbonate dissolution and cross spectral analyses with solar insolation, Proceedings of Conference “Milankovitch and Climate”, Nov. 30–Dec. 4, 1982, Palisades, New York, U.S.A.

    Google Scholar 

  • Herterich, K., and K. Hasselmann, 1983. Extraction of sea surface temperature advection, relaxation and atmospheric forcing parameters from the statistical analysis of North Pacific SST anomaly fields (in preparation).

    Google Scholar 

  • Kominz, M.A., G.R. Heath, T.L. Ku, and N.G. Pisias, 1979. Brunhes time scales and the interpretation of climatic change. Earth Plan. Sci. Lett. 45, 394–410.

    Article  Google Scholar 

  • Kukla, G., A. Berger, R. Lotti, and J. Brown, 1981. Orbital signature of interglacials, Nature 290, 295–300.

    Article  Google Scholar 

  • Lemke, P., 1977. Stochastic climate models, Part 3. Application to zonally-averaged energy models. Tellus 29, 385–392.

    Article  Google Scholar 

  • Lemke, P., E.W. Trinkl, and K. Hasselmann, 1980. Stochastic dynamic analysis of polar sea ice variability, J. Phys. Oceanogr. 10, 2100–2120.

    Article  Google Scholar 

  • Long, R.B., and K. Hasselmann, 1979. A variational technique for extracting directional spectra from multi-component wave data, J. Phys. Oceanogr. 9, 373–381.

    Article  Google Scholar 

  • Morley, J.J., and J.D. Hays, 1981. Towards a high-resolution, global deep-sea chronology for the last 750,000 years. Earth Plan. Sci. Lett. 53, 279–295.

    Article  Google Scholar 

  • Olbers, D.J., P. Müller, and J. Willebrand, 1976. Inverse technique analysis of a large data set, Phys. Earth Planet. Inter. 12, 248–252.

    Article  Google Scholar 

  • Savage, L.J., 1962. The Foundations of Statistical Inference, Methuen, London.

    Google Scholar 

  • Shackleton, N.J., and N.D. Opdyke, 1973. Oxygen isotope and palaeomagnetic stratigraphy of Equatorial Pacific cores V28-238: Oxygen isotope temperatures and ice volumes onf a 105 year 106 year scale, Quart. Res. 3, 39–55.

    Article  Google Scholar 

  • Shackleton, N.J., and R.K. Matthews, 1977. Oxygen isotope stratigraphy of Late Pleistocene coral terraces in Barbados. Nature 268, 618–620.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1983 ECSC, EEC, EAEC, Brussels and Luxembourg

About this paper

Cite this paper

Hasselmann, K., Herterich, K. (1983). Application of inverse modelling techniques to palaeoclimatic data. In: Ghazi, A. (eds) Palaeoclimatic Research and Models. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7236-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-7236-0_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7238-4

  • Online ISBN: 978-94-009-7236-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics