Skip to main content
  • Article
  • Published:

Circular asymmetry of the paleomagnetic directions observed at low latitude volcanic sites

An Erratum to this article was published on 20 June 2014

Abstract

The shape of the distribution in field directions and VGP positions was studied by Bingham statistics applied to a paleomagnetic dataset from lavas for the last 5 my by McElhinny and McFadden (1997), which includes those with VGP latitude higher than 45°. Data from Hawaii clearly show an oval shaped distribution of field directions, elongated along the meridian plane, while distribution of VGP is almost circular. Analysis on the global data divided by latitudinal bands also indicate more elongation in field directions for low latitude bands. This feature was interpreted as a general indication of dipole nature of the paleomagnetic field. For Hawaii data, however, possibility of the Pacific Nondipole Low is also suggested due to the large elongation parameter and very high significance of Fisher distribution to describe the VGP positions together with the small ASD. Although this elongated shape in the distribution of field directions is not clear for most of the individual site, the directions of the principal axes are sensitive enough to depict this feature at almost all sites.

References

  • Baag, C.-G. and C. E. Helsley, Shape analysis of paleosecular variation data, J. Geophys. Res., 79, 4923–4932, 1974.

    Article  Google Scholar 

  • Bingham, C., An antipodally symmetric distribution on the sphere, Ann. Stat., 2, 1201–1225, 1974.

    Article  Google Scholar 

  • Camps, P. and M. Prévot, A statistical model of the fluctuations in the geomagnetic field from paleosecular variation to reversal, Science, 273, 776–779, 1996.

    Article  Google Scholar 

  • Cox, A., Latitude dependence of angular dispersion of the geomagnetic field, Geophys. J. R. astr. Soc., 20, 253–269, 1970.

    Article  Google Scholar 

  • Creer, K. M., The dispersion of the geomagnetic field due to secular variation and its determination for remote times from paleomagnetic data, J. Geophys. Res., 67, 3461–3476, 1962.

    Article  Google Scholar 

  • Creer, K. M., E. Irving, and A. E. M. Nairn, The paleomagnetism of the Great Whin Sill, Geophys. J. R. astr. Soc., 2, 306–323, 1959.

    Article  Google Scholar 

  • Creer, K. M., D. T. Georgi, and W. Lowrie, On the representation of the Quaternary and Late Tertiary geomagnetic fields in terms of dipoles and quadrupoles, Geophys. J. R. astr. Soc., 33, 323–345, 1973.

    Article  Google Scholar 

  • Doell, R. R. and A. Cox, Pacific geomagnetic secular variation, Science, 171, 248–254, 1971.

    Article  Google Scholar 

  • Efron, B. and G. Gong, A leisurely look at the bootstrap, the jackknife, and cross-validation, Am. Stat., 37, 36–48, 1983.

    Google Scholar 

  • Egbert, G. D., Sampling bias in VGP longitudes, Geophys. Res. Lett., 19, 2353–2356, 1992.

    Article  Google Scholar 

  • Fisher, R. A., Dispersion on a sphere, Proc. Roy. Soc., A217, 295–305, 1953.

    Article  Google Scholar 

  • Gordon, R. G., Plate motions, crustal and lithospheric mobility, and paleomagnetism: Prospective viewpoint, J. Geophys. Res., 100, 24367–24392, 1995.

    Article  Google Scholar 

  • Hoffman, K. A., A method for the display and analysis of transitional paleomagnetic data, J. Geophys. Res., 89, 6285–6292, 1984.

    Article  Google Scholar 

  • Johnson, C. L. and C. G. Constable, The time-averaged geomagnetic field: global and regional biases for 0-5 Ma, Geophys. J. Int., 131, 643–666, 1997.

    Article  Google Scholar 

  • Kristjansson, L. and I. McDougall, Some aspects of the late Tertiary geomagnetic field in Iceland, Geophys. J. R. astr. Soc., 68, 273–294, 1982.

    Article  Google Scholar 

  • McElhinny, M. W., Palaeomagnetism and Plate Tectonics, 358 pp., Cambridge University Press, Cambridge, 1973.

    Google Scholar 

  • McElhinny, M. W. and P. L. McFadden, Palaeosecular variation over the past 5 Myr based on a new generalized database, Geophys. J. Int., 131, 240–252, 1997.

    Article  Google Scholar 

  • McElhinny, M. W., P. L. McFadden, and R. T. Merrill, The myth of the Pacific dipole window, Earth Planet. Sci. Lett., 143, 13–22, 1996.

    Article  Google Scholar 

  • Onstott, T. C., Application of the Bingham distribution function in paleomagnetic studies, J. Geophys. Res., 85, 1500–1510, 1980.

    Article  Google Scholar 

  • Opdyke, N. D., Paleomagnetism of deep-sea cores, Rev. Geophys. Space Phys., 10, 213–249, 1972.

    Article  Google Scholar 

  • Perrin, M. and V. Shcherbakov, Paleointensity of the earth’s magnetic field for the past 400 Ma: evidence for a dipole structure during the Mesozoic low, J. Geomag. Geoelectr., 49, 601–614, 1997.

    Article  Google Scholar 

  • Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd edition, 994 pp., Cambridge University Press, Cambridge, 1992.

    Google Scholar 

  • Schneider, D. A. and D. V. Kent, The time-averaged paleomagnetic field, Rev. Geophys., 28, 71–96, 1990.

    Article  Google Scholar 

  • Shibuya, H., J. Cassidy, I. E. M. Smith, and T. Itaya, Paleomagnetism of young New Zealand basalts and longitudinal distribution of paleosecular variation, J. Geomag. Geoelectr., 47, 1011–1022, 1995.

    Article  Google Scholar 

  • Tanaka, H., M. Kono, and H. Uchimura, Some global features of paleointensity in geological time, Geophys. J. Int., 120, 97–102, 1995.

    Article  Google Scholar 

  • Tsunakawa, H., Geomagnetic secular variation during the Brunhes epoch inferred from the paleomagnetism and the last 200 years geomagnetic field, J. Geomag. Geoelectr., 40, 1365–1385, 1988.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hidefumi Tanaka.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1186/BF03351615.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tanaka, H. Circular asymmetry of the paleomagnetic directions observed at low latitude volcanic sites. Earth Planet Sp 51, 1279–1286 (1999). https://doi.org/10.1186/BF03351601

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03351601

Keywords