GEM - International Journal on Geomathematics

, Volume 4, Issue 2, pp 227–297

Exploration of a simple model for ice ages

Original Paper

DOI: 10.1007/s13137-012-0040-7

Cite this article as:
Fowler, A.C., Rickaby, R.E.M. & Wolff, E.W. Int J Geomath (2013) 4: 227. doi:10.1007/s13137-012-0040-7

Abstract

We argue that, while Milanković variations in solar radiation undoubtedly have a major influence on the timing of the Quaternary ice ages, they are partly incidental to their underlying causes. Based on observations of the significance of CO2, we propose a conceptually simple (but complicated in detail) energy balance type model which has the ability to explain the underlying oscillatory nature of ice ages. We are led to develop a model which combines ice sheet growth and atmospheric energy balance with ocean carbon balance. In order to provide results which mimic the basic features of the observations, we develop novel hypotheses as follows. The succession of the most recent ice ages can be explained as being due to an oscillation due to the interaction of the growing northern hemisphere ice sheets and proglacial lakes which form as they migrate south. The CO2 signal which faithfully follows the proxy temperature signal can then be explained as being due to a combination of thermally activated ocean biomass production, which enables the rapid CO2 rise at glacial terminations, and enhanced glacial carbonate weathering through the exposure of continental shelves, which enables CO2 to passively follow the subsequent glacial cooling cycle. Milanković variations provide for modulations of the amplitude and periods of the resulting signals.

Keywords

Ice ages Milanković Energy balance model Proglacial lakes Carbonate weathering 

Mathematics Subject Classification

86A40 

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • A. C. Fowler
    • 1
    • 2
  • R. E. M. Rickaby
    • 3
  • E. W. Wolff
    • 4
  1. 1.MACSI, University of LimerickLimerickRepublic of Ireland
  2. 2.OCIAM, University of OxfordOxfordUK
  3. 3.Department of Earth SciencesUniversity of OxfordOxfordUK
  4. 4.British Antarctic SurveyCambridgeUK

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