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AGU: Geophysical Research Letters

 

Keywords

  • avalanches
  • snow
  • statistical distributions

Index Terms

  • Cryosphere: Snow
  • Cryosphere: Avalanches
  • Nonlinear Geophysics: Chaos
  • Nonlinear Geophysics: Scaling: spatial and temporal

Abstract

GEOPHYSICAL RESEARCH LETTERS, VOL. 35, L23502, 6 PP., 2008
doi:10.1029/2008GL035788

Avalanche crown-depth distributions

Edward H. Bair

Donald Bren School of Environmental Science and Management, University of California, Santa Barbara, California, USA

Jeff Dozier

Donald Bren School of Environmental Science and Management, University of California, Santa Barbara, California, USA

Karl W. Birkeland

Forest Service National Avalanche Center, USDA, Bozeman, Montana, USA

The literature disagrees about the statistical distribution of snow avalanche crown depths. Large datasets from Mammoth Mountain, California and the Westwide Avalanche Network show that the three-parameter generalized extreme value distribution provides the most robust fit, followed by a two-parameter variation, the Fréchet distribution. The most parsimonious explanation is neither self-organized criticality nor other complex cascades, but the maximum domain of attraction, implying that distributions of individual avalanche crown depths are scaling. We also show that crown depths do not have a universal tail index. Rather, they range from 2.8 to 4.6 over different avalanche paths, consistent with other geophysical phenomena such as wildfires, which show similar variability.

Received 23 August 2008; accepted 3 November 2008; published 10 December 2008.

Citation: Bair, E. H., J. Dozier, and K. W. Birkeland (2008), Avalanche crown-depth distributions, Geophys. Res. Lett., 35, L23502, doi:10.1029/2008GL035788.

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