Skip to main content
Log in

A Boolean delay equation model of an interdecadal Arctic climate cycle

  • Published:
Climate Dynamics Aims and scope Submit manuscript

Abstract

A Boolean delay equation (BDE) model is presented for the interdecadal Arctic and Greenland Sea climate cycle recently proposed by Mysak, Manak and Marsden. It is shown that 15- to 20-year oscillations can occur in the model for a variety of time delays in the BDEs. However, both the period and structure of the oscillations are sensitive to the initial conditions. In an extended model, in which the convection in the Greenland Sea is dependent upon the ice conditions during each of several previous years as well as the current year, the solution structure is more realistic, with two jumps per period of oscillation.

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

  • Ghil M, Mullhaupt A (1985) Boolean delay equations. II. Periodic and aperiodic solutions. J Stat Phys 41:125–173

    Google Scholar 

  • Ghil M, Mullhaupt A, Pestiaux P (1987) Deep water formation and Quaternary glaciations. Clim Dyn 2:1–10

    Google Scholar 

  • Kellogg WW (1983) Feedback mechanisms in the climate system affecting future levels of carbon dioxide. J Geophys Res 88:1263–1269

    Google Scholar 

  • Marsden RF, Mysak LA, Myers RA (1991) Evidence for stability enhancement of sea ice in the Greenland and Labrador Seas. J Geophys Res 96:4783–4789

    Google Scholar 

  • Mikolajewicz U, Maier-Reimer E (1990) Internal secular variability in an ocean general circulation model. Clim Dyn 4:145–156

    Google Scholar 

  • Mysak LA, Power SB (1991) Greenland sea ice and salinity anomalies and interdecadal climate variability. Clim Bull 25:81–91

    Google Scholar 

  • Mysak LA, Manak DK, Marsden RF (1990) Sea-ice anomalies observed in the Greenland and Labrador Seas during 1901–1984 ant their relation to an interdecadal Arctic climate cycle. Clim Dyn 5:111–133

    Google Scholar 

  • Mysak LA, Stocker TF, Huang F (1992) Century-scale variability in a randomly forced, two-dimensional thermohaline ocean circulation model. Clim Dyn 8 (in press)

  • Nicolis C (1982) A Boolean approach to climate dynamics. Quart J R Meteorol Soc 108:707–715

    Google Scholar 

  • Östlund HG, Hut G (1984) Arctic Ocean mass balance from isotope data. J Geophys Res 89:6373–6381

    Google Scholar 

  • Stocker TF, Mysak LA (1992) Climate fluctuations on the century time scale: a review of high-resolution proxy data and possible mechanisms. Clim Change 20:227–250

    Google Scholar 

  • Wright DG, Stocker TF, Mysak LA (1990) A note on quaternary climate modelling using Boolean delay equations. Clim Dyn 4:263–267

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Darby, M.S., Mysak, L.A. A Boolean delay equation model of an interdecadal Arctic climate cycle. Climate Dynamics 8, 241–246 (1993). https://doi.org/10.1007/BF00198618

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00198618

Keywords

Navigation