Abstract
We have examined the climatic variance in a series of deep-water oxygen-isotope records which range in length from 0.3 to 130 million years and have temporal resolutions between one thousand and 10 million years. These variations in δ 18O are interpreted as a generalized index of temperature change in high latitudes. Over five frequency decades the relation between log (variance density) and log (frequency) is approximately linear with a slope between −1 and −1.5. This relationship is interpreted as a background continuum of the sort postulated by Mitchell (1976) in which the spectrum is built up by layers of variance representing contributions from various processes acting within the climate system on different time scales. Our observed continuum slope is much steeper than that visualized by Mitchell. Additional variance is distributed at periods longer than about 3 million years, where it probably originates from forcing by tectonic processes; and at periods between 20,000 and 100,000 years where the Milankovitch forcing operates. Between these two regions there is a clear variance minimum which we predict will appear in the spectrum of other geological variables that are controlled by climate.
A broad-band concentration of variance at periods near 30 My rises well above the background. Another concentration occurs at frequencies too low to be estimated accurately from our data. We assume this is a climatic response to the ∼400 My cycle of continental fragmentation and assembly.
Similar content being viewed by others
References
Berger, A.: 1979, ‘Spectrum of Climatic Variations and their Causal Mechanisms’, Geophysical Surveys 3, 351–402. D. Reidel Pub. Co., Dordrecht, Holland and Boston, U.S.A.
Berggren, W. A., Kent, D. V, and Flynn, J. J.: 1985, ‘Jurassic to Paleogene: Part 2 Geochronology and Chronostratigraphy’, in Snelling, J. J. (ed.), The Chronology of the Geological Record, Geol. Soc. London Mem. 10, 141–195.
Berggren, W. A., Kent, D. V., and van Couvering, J. A.: 1985, ‘Neogene Chronology and Chronostratigraphy’, in Snelling, J. J. (ed.), The Chronology of the Geological Record, Geol. Soc. London Mem. 10, 211–260.
Chappell, J. and Shackleton, N. J.: 1986, ‘Oxygen-Isotopes and Sea Level’, Nature 324, 137–140.
Davis, M., Hut, P., and Muller, R. A.: 1984, ‘Extinction of Species by Periodic Comet Showers’, Nature 308, 715–717.
Douglas, R. G. and Savin, S. M.: 1975, ‘Oxygen and Carbon Isotope Analyses of Tertiary and Cretaceous Microfossils from Shatsky Rise and Other Sites in the North Pacific Ocean’, in Larson, R. L., Moberly, R. et al. (eds.), Init. Reports of the Deep Sea Drilling Proj. 32, 509–520. U.S. Dept. Commerce, Washington, D.C.
Epstein, S., Buchsbaum, R., Lowenstam, H. A., and Urey, H. C.: 1953, ‘Revised Carbonate-water Isotopic Temperature Scale’, Geol. Soc. Amer. Bull. 64, 1315–1326.
Ghil, M.: 1989, ‘Deceptively-Simple Models of Climatic Change’, in Berger, A. et al. (ed.), Climate and Geosciences. Kluwer Acad. Pub., Dordrecht, Netherlands, 211–240.
Hallam, A., Hancock, J. M., LaBrecque, J. L., Lowrie, W., and Channell, J. E. T.: 1985, ‘Jurassic to Paleogene: Part 1 Jurassic and Cretaceous Geochronology and Jurassic to Paleogene Magnetostratigraphy’, in Snelling, N. G. (ed.), The Chronology of the Geological Record, Geol. Soc. London Mem. 10, 118–140.
Hasselmann, K.: 1976, ‘Stochastic Climate Models Part I. Theory’, Tellus 28, 473–484.
Imbrie, J.: 1985, ‘A Theoretical Framework for the Pleistocene Ice Ages’, Quat. Jour. Geol. Soc. London 142, 417–432.
Imbrie, J., Hays, J. D., Martinson, D. G., McIntyre, A., Mix, A. C., Morley, J. J., Pisias, N. G., Prell, W. L., and Shackleton, N. J.: 1984, ‘The Orbital Theory of Pleistocene Climate: Support from a Revised Chronology of the Marine δ 18O Record’, in Berger, A. L. et al. (ed.), Milankovitch and Climate, Part 1, 269–305. D. Reidel Pub. Co., Dordrecht, Netherlands.
Jenkins, G. M. and Watts, D. G.: 1968, Spectral Analysis and its Applications, Holden Day, San Francisco, 525 pp.
Kitchell, J. A. and Pena, D.: 1984, ‘Periodicity of Extinctions in the Geologic Past: Deterministic Versus Stochastic Explanations’, Science 226, 689–692.
Kominz, M. A. and Pisias, N. G.: 1979, ‘Pleistocene Climate: Deterministic or Stochastic?’, Science 204, 171–173.
Kutzbach, J. E.: 1976, ‘The Nature of Climate and Climatic Variations’, Quat. Res. 6, 471–480.
Kutzbach, J. E. and Bryson, R. A.: 1974, ‘Variance Spectrum of Holocene Climatic Fluctuations in the North Atlantic Sector’, Jour. Atmos. Sci. 31, 1958–1963.
Labeyrie, L. D., Duplessy, J. C., and Blanc, P. L.: 1987, ‘Variations in Mode of Formation and Temperature of Oceanic Deep Waters over the Past 125 000 Years’, Nature 327, 477–487.
Lemke, P.: 1977, ‘Stochastic Climate Models, Part 3: Application to Zonally Averaged Energy Models’, Tellus 29, 385–392.
Le Treut, H. and Ghil, M.: 1983, ‘Orbital Forcing, Climatic Interactions, and Glaciation Cycles’, Jour. Geophys. Res. 88, 5167–5190.
Maasch, K. A. and Saltzman, B.: ‘A Low-Order Dynamical Model of Global Climatic Variability over the Full Pleistocene’, Jour. Geophys. Res., in press.
Miller, K. G., Fairbanks, R. G., and Mountain, G. S.: 1987, ‘Tertiary Oxygen Isotope Synthesis, Sealevel History, and Continental and Margin Erosion’, Paleoceanography 2, 1–19.
Mitchell, J. M., Jr.: 1976, ‘An Overview of Climatic Variability and its Causal Mechanisms’, Quat. Res. 6, 481–493.
Panofsky, H. A. and Dutton, J. A.: 1984, Atmospheric Turbulence, John Wiley & Sons, New York, 397 pp.
Peltier, W. R.: 1987, ‘A Relaxation Oscillator Model of the Ice Age Cycle’, in Nicolis, C. and Nicolis, G. (eds.), Irreversible Phenomena and Dynamical Systems Analysis in Geosciences, 399–416. D. Reidel Publ. Co., Dordrecht, Netherlands.
Pisias, N. G. and Moore, T. C., Jr.: 1981: ‘The Evolution of Pleistocene Climate: A Time Series Approach’, Earth and Planet. Sci. Lett. 52, 450–458.
Pisias, N. G., Shackleton, N. J., and Hall, M. A.: 1985, ‘Stable Isotope and Calcium Carbonate Records from Hydraulic Piston Cored Hole 574A: High-Resolution Records from the Middle Miocene’, Initl. Repts. DSDP 85, 735–748. U.S. Gov. Printing Off., Washington, D.C.
Rampino, M. R. and Stothers, R. B.: 1984, ‘Terrestrial Mass Extinctions, Cometary Impacts and the Sun's Motion Perpendicular to the Galactic Plane’, Nature 308, 709–712.
Raup, D. M. and Sepkoski, J. J. Jr.: 1984, ‘Periodicity of Extinctions in the Geologic Past’, Proc. Natl. Acad. Sci. 81, 801–805.
Raymo, M., Ruddiman, W. F., Backman, J., Clement, B., and Martinson, D. G.: ‘Late Pliocene Variation in Northern Hemisphere Ice Sheets and North Atlantic Deep Circulation’, Paleoceanography (in press).
Ruddiman, W. F., Raymo, M., and McIntyre, A.: 1986, ‘Matuyama 41 000-year Cycles: North Atlantic Ocean and Northern Hemisphere Ice Sheets’, Earth and Planet. Sci. Lett. 80,117–129.
Ruddiman, W. F., Raymo, M. E., Martinson, D. G., Clement, B. M., and Backman, J.: 1989, ‘Pleistocene Evolution: Northern Hemisphere Ice Sheets and North Atlantic Ocean’, Paleoceanography 4, 353–412.
Saltzman, B., Hansen, A. R., and Maasch, K. A.: 1984, ‘The Late Quaternary Glaciations as the Response of a Three-Component Feedback System to Earth-Orbital Forcing’, Jour. Atmos. Sci. 41, 3380–3389.
Shackleton, N. J. and Hall, M. A.: 1989, ‘Stable Isotope History of the Pleistocene at ODP Site 677A’, Proc. ODP Sci Results 111, 295–316.
Shackleton, N. J., Hall, M. A., and Boersma, A.: 1984, ‘Oxygen and Carbon Isotope Data from Leg 74 Foraminifers’, in Moore, T. C. Jr., Rabinowitz, P. D. et al. (eds.), Initial Reports of the Deep Sea Drilling, Project LXXIV, 599–612. U.S. Gov. Printing Off., Washington, D.C.
Shackleton, N. J., Imbrie, J., and Hall, M. A.: 1983, ‘Oxygen and Carbon Isotope Record of East Pacific Core V19–30: Implications for the Formation of Deep Water in the Late Pleistocene North Atlantic’, Earth and Planet. Sci. Lett. 65, 233–244.
Shackleton, N. J. and Opdyke, N. D.: 1973, ‘Oxygen Isotope and Paleomagnetic Stratigraphy of Equatorial Pacific Core V28–238: Oxygen Isotope Temperatures and Ice Volumes on a 105 Year and 104 Year Scale’, Quat. Res. 3, 39–55.
Shackleton, N. J. and Pisias, N. D.: 1985, ‘Atmospheric Carbon Dioxide, Orbital Forcing, and Climate’, Geophysical Monograph 32, 303–317.
Start, G. G. and Prell, W. L.: 1984, ‘Evidence for Two Pleistocene Climatic Modes: Data from DSDP Site 502’, in Berger, A. and Nicolis, C. (eds.), New Perspectives in Climate Modelling, 3–22. Elsevier, Amsterdam.
Summerhayes, C. P.: 1986, ‘Sealevel Curves Based on Seismic Stratigraphy: their Chronostratigraphic Significance’, Palaeogeography, Palaeoclimatology, Palaeoecology 57, 27–42.
Urey, H. C.: 1947, ‘The Thermodynamic Properties of Isotopic Substances’, Jour. Chem. Soc., 562–581.
Voss. R. F.: 1979, ‘1/f (Flicker) Noise: A Brief Review’, Proc. 33rd Ann. Symp. on Freq. Control, 40–46.
Worsley, T. R. and Nance, R. D.: 1986, ‘Tectonic Cycles and the History of the Earth's Biogeochemical and Paleoceanographic Record’, Paleoceanography 1, 233–263.
Wunsch, C.: 1981, ‘Low Frequency Variability of the Sea’, in Warren, B. A. and Wunsch, C. (eds.), Evolution of Physical Oceanography, 342–374. MIT Press, Cambridge, Massachusetts.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shackleton, N.J., Imbrie, J. The δ 18O spectrum of oceanic deep water over a five-decade band. Climatic Change 16, 217–230 (1990). https://doi.org/10.1007/BF00134658
Issue Date:
DOI: https://doi.org/10.1007/BF00134658