Statistical modelling of the snow depth distribution in open alpine terrain

Hydrology and Earth System Sciences

Volumn 17, Issue 8, 2013, Pages 3005-3021

  Grunewald T ^a,b   Stotter J ^c   Pomeroy, J W ^d   Dadic, R ^e,f   Moreno Banos I ^g   Marturia J ^g   Spross, M ^c   Hopkinson, C ^h   Burlando, P ^e   Lehning, M ^a,b  

^a WSL INSTITUTE FOR SNOW AND AVALANCHE RESEARCH SLF   (Switzerland)

^b EPFL   (Switzerland)

^c UNIVERSITY OF INNSBRUCK   (Austria)

^d UNIVERSITY OF SASKATCHEWAN   (Canada)

^e ETH ZURICH   (Switzerland)

^f VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

^g Institut Geologic de Catalunya   (Spain)

^h UNIVERSITY OF LETHBRIDGE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AIRBORNE LASER SCANNING; EXPLANATORY VARIABLES; HYDROLOGICAL RESPONSE UNIT; MULTIPLE LINEAR REGRESSIONS; SNOW DEPTH DISTRIBUTION; SPATIAL HETEROGENEITY; SPATIAL VARIABILITY; STATISTICAL MODELLING;

CATCHMENTS; RUNOFF; SNOW MELTING SYSTEMS; STATISTICAL METHODS;

SNOW;

AIRBORNE SENSING; ALPINE ENVIRONMENT; CATCHMENT; COMPARATIVE STUDY; DATA SET; HYDROLOGICAL RESPONSE; LASER METHOD; NUMERICAL MODEL; PARAMETERIZATION; SNOW ACCUMULATION; SNOW COVER; SPATIAL DISTRIBUTION; TERRAIN;

EID: 84881414414     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-17-3005-2013     Document Type: Article

References (106)

1. Anderton, S. P., White, S. M., and Alvera, B.: Evaluation of spatial variability in snow water equivalent for a high mountain catchment, Hydrol. Process., 18, 435-453, doi:10.1002/Hyp.1319, 2004.
2. Balk, B. and Elder, K.: Combining binary decision tree and geostatistical methods to estimate snow distribution in a mountain watershed, Water Resour. Res., 36, 13-26, doi:10.1029/1999wr900251, 2000.
3. Baltsavias, E.: Airborne laser scanning: basic relations and formulas, J. Photogramm. Remote Sens., 54, 199-214, 1999.
4. Bavay, M., Lehning, M., Jonas, T., and Löwe, H.: Simulations of future snow cover and discharge in Alpine headwater catchments, Hydrol. Process., 23, 95-108, doi:10.1002/hyp.7195, 2009.
5. Bavay, M., Grünewald, T., and Lehning, M.: Response of snow cover and runoff to climate change in high Alpine catchments of Eastern Switzerland, Adv. Water Resour., 55, 4-16, doi:10.1016/j.advwatres.2012.12.009, 2013.
6. Beniston, M., Keller, F., and Goyette, S.: Snow pack in the Swiss Alps under changing climatic conditions: an empirical approach for climate impacts studies, Theor. Appl. Climatol., 74, 19-31, doi:10.1007/s00704-002-0709-1, 2003.
7. Bernhardt, M. and Schulz, K.: SnowSlide: A simple routine for calculating gravitational snow transport, Geophys. Res. Lett., 37, L11502, doi:10.1029/2010gl043086, 2010.
8. Bernhardt, M., Zängl, G., Liston, G. E., Strasser, U., and Mauser, W.: Using wind fields from a high-resolution atmospheric model for simulating snow dynamics in mountainous terrain, Hydrol. Process., 23, 1064-1075, doi:10.1002/hyp.7208, 2009.
9. Blöschl, G. and Kirnbauer, R.: An analysis of snow cover patterns in a small alpine catchment, Hydrol. Process., 6, 99-109, 1992.
10. Blöschl, G., Grayson, R. B., and Silvaplana, M.: On the representative elementary area (REA) concept and its utility for distributed rainfall-runoff modeling, Hydrol. Process., 9, 313-330, doi:10.1002/hyp. 3360090307, 1995.
11. Bollmann, E., Sailer, R., Briese, C., Stotter, J., and Fritzmann, P.: Potential of airborne laser scanning for geomorphologic feature and process detection and quantifications in high alpine mountains, Z. Geomorphol., 55, 83-104, doi:10.1127/0372-8854/2011/0055s2-0047, 2011.
12. Chang, K. T. and Li, Z. X.: Modelling snow accumulation with a geographic information system, Int. J. Geogr. Inf. Sci., 14, 693-707, 2000.
13. Choularton, T. W., and Perry, S. J.: A model of the oro-graphic enhancement of snowfall by the seeder-feeder mechanism, Q. J. Roy. Meteorol. Soc., 112, 335-345, doi:10.1002/qj.49711247204, 1986.
14. Clark, M. P., Hendrikx, J., Slater, A. G., Kavetski, D., Anderson, B., Cullen, N. J., Kerr, T., Hreinsson, E. O., and Woods, R. A.: Representing spatial variability of snow water equivalent in hydro-logic and land-surface models: a review, Water Resour. Res., 47, W07539, doi:10.1029/2011wr010745, 2011.
15. Cline, D., Elder, K., and Bales, R.: Scale effects in a distributed snow water equivalence and snowmelt model for mountain basins, Hydrol. Process., 12, 1527-1536, doi:10.1002/(sici)1099-1085(199808/09)12:10/11〈1527::aid- hyp678〉3.0.co;2-e, 1998.
16. Dadic, R., Corripio, J. G., and Burlando, P.: Mass-balance estimates for Haut Glacier d'Arolla, Switzerland, from 2000 to 2006 using DEMs and distributed mass-balance modeling, Ann. Glaciol., 49, 22-26, 2008.
17. Dadic, R., Mott, R., Lehning, M., and Burlando, P.: Wind influence on snow depth distribution and accumulation over glaciers, J. Geophys. Res.-Earth, 115, 8, doi:10.1029/2009JF001261, 2010a.
18. Dadic, R., Mott, R., Lehning, M., and Burlando, P.: Parameterization for wind-induced preferential deposition of snow, Hydrol. Process., 24, 1994-2006, doi:10.1002/hyp.7776, 2010b.
19. Daly, C., Neilson, R. P., and Phillips, D. L.: A statistical-topographic model for mapping climatological precipitation over mountainous terrain, J. Appl. Meteorol., 33, 140-158, doi:10.1175/1520-0450(1994)033〈0140: astmfm〉2.0.co;2, 1994.
20. DeBeer, C. M. and Pomeroy, J. W.: Simulation of the snowmelt runoff contributing area in a small alpine basin, Hydrol. Earth Syst. Sci., 14, 1205-1219, doi:10.5194/hess-14-1205-2010, 2010.
21. Deems, J. S., Fassnacht, S. R., and Elder, K. J.: Fractal distribution of snow depth from lidar data, J. Hydrometeorol., 7, 285-297, 2006.
22. Deems, J. S., Fassnacht, S. R., and Elder, K. J.: Interan-nual consistency in fractal snow depth patterns at two Colorado mountain sites, J. Hydrometeorol., 9, 977-988, doi:10.1175/2008jhm901.1, 2008.
23. Egli, L., Jonas, T., Grünewald, T., Schirmer, M., and Burlando, P.: Dynamics of snow ablation in a small Alpine catchment observed by repeated terrestrial laser scans, Hydrol. Process., 26, 1574-1585, doi:10.1002/hyp.8244, 2012.
24. Elder, K., Dozier, J., and Michaelsen, J.: Snow accumulation and distribution in an Alpine watershed, Water Resour. Res., 27, 1541-1552, doi:10.1029/91wr00506, 1991.
25. Elder, K., Rosenthal, W., and Davis, R. E.: Estimating the spatial distribution of snow water equivalence in a montane watershed, Hydrol. Process., 12, 1793-1808, 1998.
26. Erickson, T. A., Williams, M. W., and Winstral, A.: Persistence of topographic controls on the spatial distribution of snow in rugged mountain terrain, Colorado, United States, Water Resour. Res., 41, W04014, doi:10.1029/2003wr002973, 2005.
27. Erxleben, J., Elder, K., and Davis, R.: Comparison of spatial interpolation methods for estimating snow distribution in the Colorado Rocky Mountains, Hydrol. Process., 16, 3627-3649, doi:10.1002/Hyp.1239, 2002.
28. Essery, R., Martin, E., Douville, H., Fernandez, A., and Brun, E.: A comparison of four snow models using observations from an alpine site, Clim. Dynam., 15, 583-593, doi:10.1007/s003820050302, 1999.
29. Evans, I. S.: General geomorphometry, derivatives of altitude, and descriptive statistics, in: Spatial Analysis in Geomorphology, edited by: Chorley, R., Harper&Row, London, 17-90, 1972.
30. Fang, X. and Pomeroy, J. W.: Modelling blowing snow redistribution to prairie wetlands, Hydrol. Process., 23, 2557-2569, doi:10.1002/hyp.7348, 2009.
31. Frei, C. and Schär, C.: A precipitation climatology of the Alps from high-resolution rain-gauge observations, Int. J. Climatol., 18, 873-900, 1998.
32. Geist, T. and Stötter, J.: Documentation of glacier surface elevation change with multi-temporal airborne laser scanner data-case study: Hintereisferner and Kesselwandferner, Tyrol, Austria, Z. Gletscherk. Glazialgeol., 41, 77-106, 2008.
33. Geist, T., Höfle, B., Rutzinger, M., and Stötter, J.: Laser Scanning-a paradigm change in topographic data acquisition for natural hazard management, in: Sustainable Natural Hazard Management in Alpine Environments, edited by: Veulliet, E., Stötter, J., and Weck-Hannemann, H., Springer, Dordrecht, Heidelberg, London, New York, Berlin, 309-344, 2009.
34. Golding, D. L.: The correlation of snowpack with topography and snowmelt runoff on Marmot Creek Basin, Alberta, Atmosphere, 12, 31-38, 1974.
35. Goodchild, M. F. and Mark, D. M.: The fractal nature of geographic phenomena, Ann. Assoc. Am. Geogr., 77, 265-278, doi:10.1111/j.1467-8306.1987. tb00158.x, 1987.
36. Gruber, S.: A mass-conserving fast algorithm to parameterize gravitational transport and deposition using digital elevation models, Water Resour. Res., 43, W06412, doi:10.1029/2006WR004868, 2007.
37. Grünewald, T. and Lehning, M.: Altitudinal dependency of snow amounts in two small alpine catchments: can catchment-wide snow amounts be estimated via single snow or precipitation stations?, Ann. Glaciol., 52, 153-158, 2011.
38. Grünewald, T., Schirmer, M., Mott, R., and Lehning, M.: Spatial and temporal variability of snow depth and ablation rates in a small mountain catchment, The Cryosphere, 4, 215-225, doi:10.5194/tc-4-215-2010, 2010.
39. Hopkinson, C., Sitar, M., Chasmer, L., and Treitz, P.: Mapping snowpack depth beneath forest canopies using airborne lidar, Photogramm. Eng. Remote Sens., 70, 323-330, 2004.
40. Hopkinson, C., Pomeroy, J., De Beer, C., Ellis, C., and Anderson, A.: Relationships between snowpack depth and primary Li-DAR point cloud derivatives in a mountainous environment, in: Remote Sensing and Hydrology, IAHS Publ. 352, Proceedings of a symposium held at Jackson Hole, September 2010, Wyoming, USA, 2011.
41. Hopkinson, C., Collins, T., Anderson, A., Pomeroy, J., and Spooner, I.: Spatial snow depth assessment using LiDAR transect samples and public GIS data layers in the Elbow River watershed, Alberta, Can. Water Resour. J., 37, 69-87, doi:10.4296/cwrj3702893, 2012.
42. Hosang, J. and Dettwiler, K.: Evaluation of a water equivalent of snow cover map in a small catchment-area using a geostatistical approach, Hydrol. Process., 5, 283-290, 1991.
43. Jost, G., Weiler, M., Gluns, D. R., and Alila, Y.: The influence of forest and topography on snow accumulation and melt at the watershed-scale, J. Hydrol., 347, 101-115, 2007.
44. Kite, G. W. and Kouwen, N.: Watershed modeling using land classifications, Water Resour. Res., 28, 3193-3200, doi:10.1029/92wr01819, 1992.
45. Klinkenberg, B.: Fractals and morphometric measures: is there a relationship?, Geomorphology, 5, 5-20, doi:10.1016/0169-555x(92)90055-s, 1992.
46. Klinkenberg, B. and Goodchild, M. F.: The fractal properties of topography: a comparison of methods, Earth Surf. Proc. Land., 17, 217-234, doi:10.1002/esp.3290170303, 1992.
47. Ku'zmin, P. P.: Formirovanie Snezhnogo Pokrova i Metody Opre-deleniya Snegozapasov, Gidrometeoizdat, Leningrad, Published 1963 as Snow Cover and Snow Reserves, English Translation by Israel Program for Scientific Translation, Jerusalem, National Science Foundation, Washington, D.C., 1960.
48. Lehning, M., Völksch, I., Gustafsson, D., Nguyen, T. A., Stähli, M., and Zappa, M.: ALPINE3D: a detailed model of mountain surface processes and its application to snow hydrology, Hydrol. Process., 20, 2111-2128, doi:10.1002/Hyp.6204, 2006.
49. Lehning, M., Löwe, H., Ryser, M., and Raderschall, N.: Inhomogeneous precipitation distribution and snow transport in steep terrain, Water Resour. Res., 44, W07404, doi:10.1029/2007wr006545, 2008.
50. Lehning, M., Gruenewald, T., and Schirmer, M.: Mountain snow distribution governed by an altitudinal gradient and terrain roughness, Geophys. Res. Lett., 38, L19504, doi:10.1029/2011GL048927, 2011.
51. Liston, G. E. and Elder, K.: A distributed snow-evolution modeling system (SnowModel), J. Hydrometeorol., 7, 1259-1276, doi:10.1175/Jhm548.1, 2006.
52. Litaor, M. I., Williams, M., and Seastedt, T. R.: Topographic controls on snow distribution, soil moisture, and species diversity of herbaceous alpine vegetation, Niwot Ridge, Colorado, J. Geo-phys. Res.-Biogeo., 113, G02008, doi:10.1029/2007jg000419, 2008.
53. Lopez-Moreno, J. I. and Nogues-Bravo, D.: Interpolating local snow depth data: an evaluation of methods, Hydrol. Process., 20, 2217-2232, doi:10.1002/Hyp.6199, 2006.
54. Lundquist, J. D. and Dettinger, M. D.: How snowpack heterogeneity affects diurnal streamflow timing, Water Resour. Res., 41, W05007, doi:10.1029/ 2004wr003649, 2005.
55. MacDonald, M. K., Pomeroy, J. W., and Pietroniro, A.: Parameterizing redistribution and sublimation of blowing snow for hy-drological models: tests in a mountainous subarctic catchment, Hydrol. Process., 23, 2570-2583, doi:10.1002/hyp.7356, 2009.
56. MacDonald, M. K., Pomeroy, J. W., and Pietroniro, A.: On the importance of sublimation to an alpine snow mass balance in the Canadian Rocky Mountains, Hydrol. Earth Syst. Sci., 14, 1401-1415, doi:10.5194/hess-14-1401-2010, 2010.
57. Magnusson, J., Jonas, T., Lopez-Moreno, I., and Lehning, M.: Snow cover response to climate change in a high alpine and half-glacierized basin in Switzerland, Hydrol. Res., 41, 230-240, doi:10.2166/nh.2010.115, 2010.
58. Marchand, W. D. and Killingtveit, A.: Statistical properties of spatial snowcover in mountainous catchments in Norway, Nord. Hy-drol., 35, 101-117, 2005.
59. Marsh, C. B., Pomeroy, J. W., and Spiteri, R. J.: Implications of mountain shading on calculating energy for snowmelt using unstructured triangular meshes, Hydrol. Process., 26, 1767-1778, doi:10.1002/hyp.9329, 2012.
60. McKay, G. A. and Gray, D. M.: The distribution of the snow cover, in: Handbook of Snow, edited by: Gray, D. and Hale, D., Perga-mon Press Canada Ltd., 153-190, 1981.
61. Molotch, N. P., Colee, M. T., Bales, R. C., and Dozier, J.: Estimating the spatial distribution of snow water equivalent in an alpine basin using binary regression tree models: the impact of digital elevation data and independent variable selection, Hydrol. Process., 19, 1459-1479, doi:10.1002/Hyp.5586, 2005.
62. Moreno Banos, I., Ruiz Garcia, A., Marturia I Alavedra, J., Oller I Figueras, P., Pina Iglesias, J., Garcia Selles, C., Martinez I Figueras, P., and Talaya Lopez, J.: Snowpack depth modelling and water availability from LIDAR measurements in eastern Pyrenees, Proceedings of the International Snow Science Workshop ISSW 2009 Europe, 27 September-2 October 2009, Davos, Switzerland, 202-206, 2009.
63. Mott, R. and Lehning, M.: Meteorological modelling of very high resolution wind fields and snow deposition for mountains, J. Hy-drometeorol., 11, 934-949 doi:10.1175/2010jhm1216.1, 2010.
64. Mott, R., Schirmer, M., Bavay, M., Grünewald, T., and Lehning, M.: Understanding snow-transport processes shaping the mountain snow-cover, The Cryosphere, 4, 545-559, doi:10.5194/tc-4-545-2010, 2010.
65. Mott, R., Egli, L., Grünewald, T., Dawes, N., Manes, C., Bavay, M., and Lehning, M.: Micrometeorological processes driving snow ablation in an Alpine catchment, The Cryosphere, 5, 1083-1098, doi:10.5194/tc-5-1083-2011, 2011.
66. Mott, R., Scipion, D., Schneebeli, M., Dawes, N., Berne, A., and Lehning, M.: The effect of airflow dynamics on small-scale snow-fall patterns in mountainous terrain, J. Geophys. Res.-Atmos., in revision, 2013.
67. Plattner, C., Braun, L., and Brenning, A.: Spatial variability of snow accumulation on Vernagtferner, Austrian Alps, in winter 2003/04, Z. Gletscherk. Glazialgeol., 39, 43-57, 2006.
68. Pohl, S., Marsh, P., and Liston, G. E.: Spatial-temporal variability in turbulent fluxes during spring snowmelt, Arct. Antarct. Alp. Res., 38, 136-146, doi:10.1657/1523-0430(2006)038[0136:SVITFD]2.0.CO;2, 2006.
69. Pomeroy, J. W. and Brun, E.: Physical properties of snow, in: Snow Ecology: an Interdisciplinary Examination of Snow-covered Ecosystems, edited by: Jones, H. G., Pomeroy, J. W., Walker, D. A., and Hoham, R. W., Cambridge University Press, Cambridge, UK, 45-118, 2001.
70. Pomeroy, J. W. and Gray, D. M.: Snowcover Accumulation, Relocation and Management, National Hydrology Research Institute Science Report No. 7, Environment Canada, Saskatoon, 1995.
71. Pomeroy, J. W. and Li, L.: Prairie and arctic areal snow cover mass balance using a blowing snow model, J. Geophys. Res.-Atmos., 105, 26619-26634, doi:10.1029/2000jd900149, 2000.
72. Pomeroy, J. W., Gray, D. M., Shook, K. R., Toth, B., Es-sery, R. L. H., Pietroniro, A., and Hedstrom, N.: An evaluation of snow accumulation and ablation processes for land surface modelling, Hydrol. Process., 12, 2339-2367, doi:10.1002/(sici)1099-1085(199812)12:15〈2339::aid-hyp800〉3.0.co;2-l, 1998.
73. Pomeroy, J. W., Gray, D. M., Hedstrom, N. R., and Janowicz, J. R.: Prediction of seasonal snow accumulation in cold climate forests, Hydrol. Process., 16, 3543-3558, doi:10.1002/hyp.1228, 2002.
74. Pomeroy, J. W., Essery, R., and Toth, B.: Implications of spatial distributions of snow mass and melt rate for snow-cover depletion: observations in a subarctic mountain catchment, Ann. Glaciol., 38, 195-201, doi:10.3189/172756404781814744, 2004.
75. Pomeroy, J. W., Gray, D. M., Brown, T., Hedstrom, N. R., Quin-ton, W. L., Granger, R. J., and Carey, S. K.: The cold regions hydrological model: a platform for basing process representation and model structure on physical evidence, Hydrol. Process., 21, 2650-2667, doi:10.1002/hyp.6787, 2007.
76. Pomeroy, J. W., Fang, X., and Ellis, C.: Sensitivity of snowmelt hydrology in Marmot Creek, Alberta, to forest cover disturbance, Hydrol. Process., 26, 1892-1905, doi:10.1002/hyp.9248, 2012.
77. Power, W. L. and Tullis, T. E.: Euclidean and fractal models for the description of rock surface roughness, J. Geophys. Res.-Solid, 96, 415-424, doi:10.1029/90jb02107, 1991.
78. Prokop, A., Schirmer, M., Rub, M., Lehning, M., and Stocker, M.: A comparison of measurement methods: terrestrial laser scanning, tachymetry and snow probing, for the determination of spatial snow depth distribution on slopes, Ann. Glaciol., 49, 210-216, 2008.
79. Raderschall, N., Lehning, M., and Schär, M.: Fine-scale modeling of the boundary layer with wind field over steep topography, Water Resour. Res., 44, 1-18, doi:10.1029/2007WR006545, 2008.
80. Rinaldo, A., Botter, G., Bertuzzo, E., Uccelli, A., Settin, T., and Marani, M.: Transport at basin scales: 1. Theoretical framework, Hydrol. Earth Syst. Sci., 10, 19-29, doi:10.5194/hess-10-19-2006, 2006.
81. Schirmer, M. and Lehning, M.: Persistence in intra-annual snow depth distribution: 2. Fractal analysis of snow depth development, Water Resour. Res., 47, W09517, doi:10.1029/2010wr009429, 2011.
82. Schirmer, M., Wirz, V., Clifton, A., and Lehning, M.: Persistence in intra-annual snow depth distribution: 1. Measurements and topographic control, Water Resour. Res., 47, W09516, doi:10.1029/2010wr009426, 2011.
83. Schneiderbauer, S. and Prokop, A.: The atmospheric snow-transport model: SnowDrift3D, J. Glaciol., 57, 526-542, 2011.
84. Schöber, J., Achleitner, S., Schneider, K., Sailer, R., Schöberl, F., Stötter, J., and Kirnbauer, R.: The potential of airborne laser scanning driven snow depth observations for modelling snow cover, snow water equivalent and runoff in alpine catchments, Geophys. Res. Abstr., EGU2011-10169, EGU General Assembly 2011, Vienna, Austria, 2011.
85. Schweizer, J., Jamieson, J. B., and Schneebeli, M.: Snow avalanche formation, Rev. Geophys., 41, 1016, doi:10.1029/2002rg000123, 2003.
86. Seligman, G.: Snow Structure and Ski Fields, International Glacio-logical Society, Cambridge, UK, 1936.
87. Seyfried, M. S. and Wilcox, B. P.: Scale and the nature of spatial variability-field examples having implications for hydrologic modeling, Water Resour. Res., 31, 173-184, 1995.
88. Shepard, M. K., Campbell, B. A., Bulmer, M. H., Farr, T. G., Gad-dis, L. R., and Plaut, J. J.: The roughness of natural terrain: a planetary and remote sensing perspective, J. Geophys. Res.-Planet., 106, 32777-32795, 2001.
89. Shook, K. and Gray, D. M.: Small-scale spatial structure of shallow snowcovers, Hydrol. Process., 10, 1283-1292, 1996.
90. Skaloud, J., Vallet, J., Keller, K., Veyssière, G., and Kölbl, O.: An eye for landscapes-rapid aerial mapping with handheld sensors, GPS World, 17, 26-32, 2006.
91. Sovilla, B., McElwaine, J. N., Schaer, M., and Vallet, J.: Variation of deposition depth with slope angle in snow avalanches: measurements from Vallee de la Sionne, J. Geophys. Res.-Earth, 115, F02016, doi:10.1029/2009jf001390, 2010.
92. Speight, J.: A parametric approach to landform regions, in: Progress in Geomorphology, Special Publication, Vol. 7, Institute of British Geographers, Alden& Mowbray Ltd at the Alden Press, Oxford, 213-230, 1974.
93. Steppuhn, H. and Dyck, G.: Estimating true basin snowcover, in: Proceedings of Interdisciplinary Symposium on Advanced Concepts and Techniques in the Study of Snow and Ice Resources, edited by: National Association of Science, Washington, D.C., USA, 314-328, 1974.
94. Sun, W., Xu, G., Gong, P., and Liang, S.: Fractal analysis of remotely sensed images: a review of methods and applications, Int. J. Remote Sens., 27, 4963-4990, doi:10.1080/01431160600676695, 2006.
95. Taud, H. and Parrot, J.: Measurement of DEM roughness using the local fractal dimension, Geomorphologie, 4/2005, 327-338, 2006.
96. Trujillo, E., Ramirez, J. A., and Elder, K. J.: Topographic, meteo-rologic, and canopy controls on the scaling characteristics of the spatial distribution of snow depth fields, Water Resour. Res., 43, 1-17, doi:10.1029/2006WR005317, 2007.
97. Trujillo, E., Ramirez, J. A., and Elder, K. J.: Scaling properties and spatial organization of snow depth fields in sub-alpine forest and alpine tundra, Hydrol. Process., 23, 1575-1590, doi:10.1002/Hyp.7270, 2009.
98. Vallet, J.: Quick Deployment Heliborne Handheld LiDAR System for Natural Hazard Mapping, in: Gi4DM-Geoinformation for Disaster management Conference, 3-7 May 2011, Antalya, Turkey, 2011.
99. Vallet, J. and Skaloud, J.: Helimap: Digital Imagery/LiDAR Handheld Airborne Mapping System for Natural Hazard Monitoring, 6 setmana Geomatica, February 2005, Barcelona, 1-10, 2005.
100. Watson, F. G. R., Anderson, T. N., Newman, W. B., Alexander, S. E., and Garrott, R. A.: Optimal sampling schemes for estimating mean snow water equivalents in stratified heterogeneous landscapes, J. Hydrol., 328, 432-452, doi:10.1016/j.jhydrol.2005.12.032, 2006.
101. Wehr, A. and Lohr, U.: Airborne laser scanning-an introduction and overview, J. Photogramm. Remote Sens., 54, 68-82, 1999.
102. Winstral, A. and Marks, D.: Simulating wind fields and snow redistribution using terrain-based parameters to model snow accumulation and melt over a semi-arid mountain catchment, Hydrol. Process., 16, 3585-3603, doi:10.1002/hyp.1238, 2002.
103. Winstral, A., Elder, K., and Davis, R. E.: Spatial snow modeling of wind-redistributed snow using terrain-based parameters, J. Hy-drometeorol., 3, 524-538, 2002.
104. Wirz, V., Schirmer, M., Gruber, S., and Lehning, M.: Spatiotemporal measurements and analysis of snow depth in a rock face, The Cryosphere, 5, 893-905, doi:10.5194/tc-5-893-2011, 2011.
105. Wood, E. F., Sivapalan, M., Beven, K., and Band, L.: Effects of spatial variability and scale with implications to hydrologic modeling, J. Hydrol., 102, 29-47, doi:10.1016/0022-1694(88)90090-X, 1988.
106. Xu, T. B., Moore, I. D., and Gallant, J. C.: Fractals, fractal dimensions and landscapes-a review, Geomorphology, 8, 245-262, doi:10.1016/0169-555x(93) 90022-t, 1993.