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A stochastic process for the interannual snow storage and melting dynamics

Publication ,  Journal Article
Perona, P; Porporato, A; Ridolfi, L
Published in: Journal of Geophysical Research Atmospheres
April 27, 2007

A continuous time process of alternating stochastic growths and deterministic decays is proposed as a simple model for the interannual dynamics of snow water equivalent (SWE) storage and melting. The related stationary properties are studied, and an integral difference equation for the probability density function of the state variable is derived. The corresponding solution is obtained by both solving the master equation numerically and simulating the process with a Monte Carlo scheme. An analytical solution is also obtained for the inverse problem, i.e., when the pdf of growths that lead to accumulation is reconstructed from that of the process. The model's statistical properties help explain the probabilistic character of the end of summer snowlines and their intrinsic variability with the geographic location and climatic factors. Possible applications to model the interannual SWE cover evolution or to reconstruct the past precipitation characteristics are also discussed. Copyright 2007 by the American Geophysical Union.

Duke Scholars

Published In

Journal of Geophysical Research Atmospheres

DOI

ISSN

0148-0227

Publication Date

April 27, 2007

Volume

112

Issue

8

Related Subject Headings

  • Meteorology & Atmospheric Sciences
 

Citation

APA
Chicago
ICMJE
MLA
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Perona, P., Porporato, A., & Ridolfi, L. (2007). A stochastic process for the interannual snow storage and melting dynamics. Journal of Geophysical Research Atmospheres, 112(8). https://doi.org/10.1029/2006JD007798
Perona, P., A. Porporato, and L. Ridolfi. “A stochastic process for the interannual snow storage and melting dynamics.” Journal of Geophysical Research Atmospheres 112, no. 8 (April 27, 2007). https://doi.org/10.1029/2006JD007798.
Perona P, Porporato A, Ridolfi L. A stochastic process for the interannual snow storage and melting dynamics. Journal of Geophysical Research Atmospheres. 2007 Apr 27;112(8).
Perona, P., et al. “A stochastic process for the interannual snow storage and melting dynamics.” Journal of Geophysical Research Atmospheres, vol. 112, no. 8, Apr. 2007. Scopus, doi:10.1029/2006JD007798.
Perona P, Porporato A, Ridolfi L. A stochastic process for the interannual snow storage and melting dynamics. Journal of Geophysical Research Atmospheres. 2007 Apr 27;112(8).

Published In

Journal of Geophysical Research Atmospheres

DOI

ISSN

0148-0227

Publication Date

April 27, 2007

Volume

112

Issue

8

Related Subject Headings

  • Meteorology & Atmospheric Sciences