pure and applied geophysics

, Volume 131, Issue 1–2, pp 307–313 | Cite as

Fractal analysis of long-range paleoclimatic data: Oxygen isotope record of pacific core V28-239

  • Richard H. FluegemanJr.
  • R. Scott Snow
Article

Abstract

R/S analysis of the oxygen isotope curve of Pacific core V28-239 yields a fractal dimension of 1.22. This value is considered to characterize global climatic change over the last 2 million years as expressed by changing δO18 ratios and confirms that climatic variations are characterized by long-term persistence. The fractal dimension of 1.22 compares favorably with the approximate fractal dimension of 1.26 for annual precipitation records for nine major cities in the United States. Although the precipitation and oxygen isotope data are measured in different physical units and recorded at different time scales, fractal analysis allows for a mathematical comparison of the two phenomena. Additionally, since the fractal dimensions of the oxygen isotope and precipitation records are similar, it is implied that such fractal dimensions are characteristic of climate change over the spectral range of 10 to 106 years. Given this temperature curves based on fractal parameters of long-term δO18 data could be constructed which would allow examination of characteristics of temperature variation over tens and hundreds of years. Such studies may allow the establishment of limits on natural temperature variation and document the persistence of temperature trends through time. If these trends and limits can be resolved, long-range climatic prediction is feasible.

Key words

R/S analysis paleoclimate oxygen isotopes Pacific comparison of phenomena long-term persistence fractal 

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References

  1. Ahrens, C. D.,Meteorology Today (West Publishing, St. Paul 1985).Google Scholar
  2. Berggren, W. A., Kent, D. V., Flynn, J. J., andVan Couvering, J. A., (1985),Cenozoic Geochronology, Geol. Soc. America Bull.96, 1407–1418.Google Scholar
  3. Chappell, J. (1973),Astronomical Theory of Climatic Change: Status and Problem, Quaternary Research3, 221–236.Google Scholar
  4. Emiliani, C. (1955),Pleistocene Temperatures, J. Geology63, 538–578.Google Scholar
  5. Harland, W. B., Cox, A. V., Llewellyn, P. G., Pickton, C. A. G., Smith, A. G., andWalters, R. A Geologic Time Scale (Cambridge University Press 1982).Google Scholar
  6. La Brecque, M. (1986),Fractal Applications, National Science Foundation Mosaic17, (4), 34–48.Google Scholar
  7. Lovejoy, S. (1982),Area-Perimeter Relation for Rain and Cloud Areas, Science216, 185–187.Google Scholar
  8. Mandelbrot B. B., andWallis, J. R. (1969a),Some Long-run Properties of Geophysical Records, Water Resources Res.5, 321–340.Google Scholar
  9. Mandelbrot, B. B., andWallis, J. R. (1969b),Robustness of the Rescaled Range R/S in the Measurement of Noncyclic Long-run Statistical Dependence, Water Resources Res.5, 967–988.Google Scholar
  10. Mandelbrot, B. B.,The Fractal Geometry of Nature (Freeman and Co., New York 1983).Google Scholar
  11. Ruddiman, W. F., andGlover, L. K. (1972),Vertical Mixing of Ice-rafted Volcanic Ash in North Atlantic Sediments, Geol. Soc. America Bull.83, 2817–2836.Google Scholar
  12. Shackleton, N. J., andOpdyke, 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 106 Year Scale. Quaternary Research,3, 39–55.Google Scholar
  13. Shackleton, N. J., andOpdyke, N. D. (1976)Oxygen isotope and paleomagnetic stratigraphy of Pacific Core V28-239 late Pliocene to latest Pleistocene InInvestigation of Late Quaternary Paleoceanography and Paleoclimatology (eds. Cline, R. M., and Hays, J. D.) Geol. Soc. America Memoir145, 449–464.Google Scholar

Copyright information

© Birkhäuser-Verlag 1989

Authors and Affiliations

  • Richard H. FluegemanJr.
    • 1
  • R. Scott Snow
    • 1
  1. 1.Department of GeologyBall State UniversityMuncieUSA

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