A stochastic process for the interannual snow storage and melting dynamics

Journal of Geophysical Research Atmospheres

Volumn 112, Issue 8, 2007, Pages

  Perona, P ^a   Porporato, A ^b   Ridolfi, L ^c  

^a ETH ZURICH   (Switzerland)

^b Duke University   (United States)

^c POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATOLOGY; GEOGRAPHICAL REGIONS; INTEGRODIFFERENTIAL EQUATIONS; MELTING; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; SNOW;

CLIMATE MODELING; CLIMATE VARIATION; INVERSE ANALYSIS; MONTE CARLO ANALYSIS; PROBABILITY DENSITY FUNCTION; SNOW ACCUMULATION; SNOW COVER; SNOW WATER EQUIVALENT; SNOWMELT; STOCHASTICITY;

EID: 34250643188     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2006JD007798     Document Type: Article

References (43)

1. Ashkenazy, Y., D. R. Baker, and H. Gildor (2005), Simple stochastic models for glacial dynamics, J. Geophys. Res., 110, C02005, doi:10.1029/2004JC002548.
2. Beniston, M. (1997), Variations of snow depth and duration in the Wwiss Alps over the last 50 years: Links to changes in large-scale climatic forcing, Clim. Change, 36, 281-300.
3. Beniston, M. (2005), Climatic change and its possible impacts in the alpine region, J. Alp. Res., 93(2), 25-32.
4. Beniston, M., F. Keller, B. Koffi, and S. Goyette (2003), Estimates of snow accumulation and volume in the swiss alps under changing climatic conditions, Theor. Appl. Climatol., 76, 125-140.
5. Benn, D., L. Owen, H. Osmaston, G. Seltzer, S. Porter, and B. Mark (2005), Reconstruction of equilibrium-line altitudes for tropical and sub-tropical glaciers, Quat. Int., 138-139, 8-21.
6. Betterton, M. (2001), Theory of structure formation in snowfields motivated by penitentes, suncups, and dirty cones, Phys. Rev. E, 63, 056129.
7. Cherry, J. E., L. B. Tremblay, S. J. Dry, and M. Stieglitz (2005), Reconstructing solid precipitation from snow depth measurements and a land surface model, Water Resour. Res., 41, W09401, doi:10.1029/ 2005WR003965.
8. Clare, G., B. Fitzharris, T. Chinn, and M. Salinger (2002), Interannual variation in end-of-summer snowlines of the Southern Alps of New Zealand, and relationships with Southern Hemisphere atmospheric circulation and sea surface temperature patterns, Int. J. Climatol., 22, 107-120.
9. Colbeck, S. C. (1982), An overview of seasonal snow and metamorphism, Rev. Geophys., 20(1), 45-61.
10. Cox, D., and H. Miller (1965), The Theory of Stochastic Processes, CRC Press, Boca Raton, Fla.
11. Diolaiuti, G., C. Smiraglia, M. Pelfini, M. Belo, M. Pavan, and G. Vassena (2006), The recent evolution on alpine glacier used for summer skiing (Vedretta Piana, Stelvio Pass, Italy), Cold Reg. Sci. Technol., 44(3), 206-216.
12. D'Odorico, P. (2000), A possible bistable evolution of soil thickness, J. Geophys. Res., 105, 25,927-25,935.
13. Donald, J. R., E. D. Soulis, N. Kouwen, and A. Pietroniro (1995), A land cover-based snow cover representation for distributed hydrologic models, Water Resour. Res., 31(4), 9951010.
14. Essery, R., and J. Pomeroy (2004), Implications of spatial distributions of snow mass and melt rate for snow-cover depletion: theoretical considerations, Ann. Glaciol., 38, 261-265.
15. Essery, R., E. Martin, H. Douville, A. Fernandez, and E. Brun (1999), A comparison of four snow models using observations from an alpine site, Clim. Dyn., 15, 583-593.
16. Fichefet, T., and M. Morales Maqueda (1999), Modelling the influence of snow accumulation and snow-ice formation on the seasonal cycle of the antartic sea-ice cover, Clim. Dyn., 15, 251-268.
17. Graybeal, D., and D. Leathers (2006), Snowmelt-related flood risk in Appalachia: First estimates from a historical snow climatology, J. Appl. Meteorol. Climatol., 45(1), 178-193.
18. Gustafsson, D., P. Waldner, and M. Stähli (2004), Factors governing the formation and persistence of layers in a subalpine snowpack, Hydrol. Processes, 18, 1165-1183.
19. Harrison, S. (2005), Snowlines at the last glacial maximum and tropical cooling, Quat. Int., 138-139, 5-7.
20. Hastenrath, S. (1971), On the pleistocene snow-line depression in the arid regions of the South American Andes, J. Glaciol., 10, 255-267.
21. Hock, R. (1999), A distributed temperature-index ice- and snowmelt model including potential direct solar radiation, J. Glaciol., 45(149), 101-111.
22. Intergovernmental Panel on Climate Change (2001), Climate Change 2001: The Scientific Basis, Cambridge Univ. Press, New York.
23. Jaagus, J. (1997), The impact of climate change on the snow cover pattern in Estonia, Clim. Change, 36, 65-77.
24. Keller, F., S. Goyette, and M. Beniston (2005), Sensitivity analysis of snow cover to climate change scenarios and their impact on plant habitats in alpine terrain, Clim. Change, 72, 299-319.
25. Latemser, M., and M. Schneebeli (2003), Long-term snow climate trends of the Swiss Alps, Int. J. Climatol., 23, 733-750.
26. Marchand, W-D., and A. Killingtveit (2004), Statistical properties of spatial snowcover in mountainous catchments in Norway, Nord. Hydrol., 35(2), 101-117.
27. Marsh, P. (1999), Snowcover formation and melt: Recent advances and future prospects, Hydrol. Processes, 13, 2117-2134.
28. Meissner, S., and A. Reller (2005), Sustainable management of alpine water potentials, J. Alp. Res., 93(3), 5-29.
29. Oerlemans, J. (2001), Glaciers and Climate Change: A Meteorologist's View, A. A. Balkema, Brookfield, Vt.
30. Ohmura, A. (2001), Physical basis for the temperature-based melt-index method, J. Appl. Meteorol., 40(4), 753-761.
31. Ohmura, A., P. Kasser, and M. Funk (1992), Climate at the equilibrium line of glaciers, J. Glaciol., 38, 397-411.
32. Ohmura, A., M. Wild, and L. Bengtsson (1996), A possible change in mass balance of Greenland and Antarctic ice sheets in the coming century, J. Clim., 9, 2124-2135.
33. Paterson, W. S. B. (1994), The Physics of Glaciers, 3rd ed., Elsevier, New York.
34. Pellicciotti, F., B. Brock, U. Strasser, P. Burlando, M. Funk, and J. Corripio 2006), An enhanced temperature-index glacier melt model including the shortwave radiation balance: development and testing for Haut Glacier d'Arolla, Switzerland, J. Glaciol., 51(175), 573-582.
35. Perona, P., P. D'Odorico, A. Porporato, and L. Ridolfi (2001), Reconstructing the temporal dynamics of snow cover from observations, Geophys. Res. Lett., 28(15), 2975-2978.
36. Porporato, A., and P. D'Odorico (2004), Phase transition driven by state-dependent Poisson noise, Phys. Rev. Lett., 29(11), 110601.
37. Porter, S., K. Pierce, and T. Hamilton (1983), Late Wisconsin mountain glaciation in the western United States, in Late Quaternary Environments of the United States, vol 1, The Late Pleistocene, edited by S. Porter, pp. 71-111, Univ. of Minnesota Press, Minneapolis.
38. Rodriguez-Iturbe, I., A. Porporato, L. Ridolfi, V. Isham, and D. Cox (1999), Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation, Proc. R. Soc. London, Ser. A, 455, 3789-3805.
39. Scherrer, S., and C. Appenzeller (2004), Trends in Swiss alpine snow days: The role of local- and large-scale climatic variability, Geophys. Res. Lett., 31, L13215, doi: 10.1029/2004GL020255.
40. Seltzer, G. O. (1994), Climatic interpretation of alpine snowline variation on millenial time scales, Quat. Res., 41, 154-159.
41. Shamir, E., and K. Georgakakos (2006), Distributed snow accumulation and ablation modeling in the American river basin, Adv. Water Resour., 29, 558-570.
42. Strasser, U., J. Corripio, F. Pellicciotti, P. Burlando, B. Brock, and M. Funk (2004), Spatial and temporal variability of meteorological variables at Haut Glacier d'Arolla (Switzerland) during the ablation season 2001: Measurements and simulations, J. Geophys. Res., 109, D03103, doi: 10.1029/2003JD003973.
43. Van Kampen, N. G. (1992), Stochastic Processes in Physics and Chemistry, Elsevier, New York.