An evaluation of terrain‐based downscaling of fractional snow covered area data sets based on LiDAR‐derived snow data and orthoimagery

Reliable maps of snow-covered areas at scales of meters to tens of meters, with daily temporal resolution, are essential to understanding snow heterogeneity, melt runoff, energy exchange, and ecological processes. Here we develop a parsimonious downscaling routine that can be applied to fractional snow covered area (fSCA) products from satellite platforms such as the Moderate Resolution Imaging Spectroradiometer (MODIS) that provide daily ∼500 m data, to derive higher resolution snow presence/absence grids. The method uses a composite index combining both the topographic position index (TPI) to represent accumulation effects and the diurnal anisotropic heat (DAH, sun exposure) index to represent ablation effects. The procedure is evaluated and calibrated using airborne-derived high-resolution datasets across the Tuolumne watershed, CA using 11 scenes in 2014 to downscale to 30-m resolution. The average matching F score was 0.83. We then tested our method's transferability in time and space by comparing against the Tuolumne watershed in water years 2013 and 2015, and over an entirely different site, Mt. Rainier, WA in 2009 and 2011, to assess applicability to other topographic and climatic conditions. For application to sites without validation data, we recommend equal weights for the TPI and DAH indices and close TPI neighborhoods (60 m and 27 m for downscaling to 30 m and 3 m, respectively), which worked well in both our study areas. The method is less effective in forested areas, which still requires site-specific treatment. We demonstrate that the procedure can even be applied to downscale to 3 m resolution, a very fine scale relevant to alpine ecohydrology research.

[1]  Thomas H. Painter,et al.  Validating reconstruction of snow water equivalent in California's Sierra Nevada using measurements from the NASA Airborne Snow Observatory , 2016 .

[2]  Jean-Pierre Dedieu,et al.  On the Importance of High-Resolution Time Series of Optical Imagery for Quantifying the Effects of Snow Cover Duration on Alpine Plant Habitat , 2016, Remote. Sens..

[3]  Michael Lehning,et al.  Meteorological Modeling of Very High-Resolution Wind Fields and Snow Deposition for Mountains , 2010 .

[4]  Glen E. Liston,et al.  Interrelationships among Snow Distribution, Snowmelt, and Snow Cover Depletion: Implications for Atmospheric, Hydrologic, and Ecologic Modeling , 1999 .

[5]  Computational fluid dynamic (CFD) simulation of snowdrift in alpine environments, including a local weather model, for operational avalanche warning , 2008, Annals of Glaciology.

[6]  M. Lehning,et al.  Inhomogeneous precipitation distribution and snow transport in steep terrain , 2008 .

[7]  A. Flores,et al.  A Physiographic Approach to Downscaling Fractional Snow Cover Data in Mountainous Regions , 2014 .

[8]  Jacob Cohen A Coefficient of Agreement for Nominal Scales , 1960 .

[9]  T. Painter,et al.  Snow water equivalent along elevation gradients in the Merced and Tuolumne River basins of the Sierra Nevada , 2011 .

[10]  Olaf Conrad,et al.  Large-scale atmospheric forcing and topographic modification of precipitation rates over High Asia – a neural-network-based approach , 2014 .

[11]  V. Salomonson,et al.  Estimating fractional snow cover from MODIS using the normalized difference snow index , 2004 .

[12]  张静,et al.  Banana Ovate family protein MaOFP1 and MADS-box protein MuMADS1 antagonistically regulated banana fruit ripening , 2015 .

[13]  Daniel G. Brown,et al.  Topography and Vegetation as Predictors of Snow Water Equivalent across the Alpine Treeline Ecotone at Lee Ridge, Glacier National Park, Montana, U.S.A , 2005 .

[14]  John W. Pomeroy,et al.  Simulation of snow accumulation and melt in needleleaf forest environments , 2010 .

[15]  M. Lehning,et al.  Persistence in intra‐annual snow depth distribution: 2. Fractal analysis of snow depth development , 2011 .

[16]  Jeff Dozier,et al.  Climate and energy exchange at the snow surface in the Alpine Region of the Sierra Nevada: 2. Snow cover energy balance , 1992 .

[17]  Thomas H. Painter,et al.  Retrieval of subpixel snow covered area, grain size, and albedo from MODIS , 2009 .

[18]  Philippe De Maeyer,et al.  Application of the topographic position index to heterogeneous landscapes , 2013 .

[19]  Thomas H. Painter,et al.  Assessment of methods for mapping snow cover from MODIS , 2011 .

[20]  Michael D. Dettinger,et al.  How snowpack heterogeneity affects diurnal streamflow timing , 2005 .

[21]  A. Flores,et al.  Insights into the physical processes controlling correlations between snow distribution and terrain properties , 2014 .

[22]  R. Bales,et al.  Topographic and vegetation effects on snow accumulation in the southern Sierra Nevada: a statistical summary from lidar data , 2015 .

[23]  Jessica D. Lundquist,et al.  Lower forest density enhances snow retention in regions with warmer winters: A global framework developed from plot‐scale observations and modeling , 2013 .

[24]  Alexander Prokop,et al.  A new methodology for planning snow drift fences in alpine terrain , 2016 .

[25]  S. Fassnacht,et al.  What drives basin scale spatial variability of snowpack properties in northern Colorado , 2014 .

[26]  Matthias Huss,et al.  Methodological approaches to infer end-of-winter snow distribution on alpine glaciers , 2013 .

[27]  K. Elder,et al.  Interannual Consistency in Fractal Snow Depth Patterns at Two Colorado Mountain Sites , 2005 .

[28]  W. Jetz,et al.  Remotely Sensed High-Resolution Global Cloud Dynamics for Predicting Ecosystem and Biodiversity Distributions , 2016, PLoS biology.

[29]  Steven P. Loheide,et al.  Modelling how vegetation cover affects climate change impacts on streamflow timing and magnitude in the snowmelt‐dominated upper Tuolumne Basin, Sierra Nevada , 2014 .

[30]  Andrew W. Wood,et al.  Use of Satellite Data for Streamflow and Reservoir Storage Forecasts in the Snake River Basin , 2006 .

[31]  T. Hogue,et al.  Application of MODIS snow cover products: wildfire impacts on snow and melt in the Sierra Nevada , 2014 .

[32]  J. Morgan,et al.  Using plant functional traits to explain community composition across a strong environmental filter in Australian alpine snowpatches , 2011, Plant Ecology.

[33]  Paul J. CaraDonna,et al.  Shifts in flowering phenology reshape a subalpine plant community , 2014, Proceedings of the National Academy of Sciences.

[34]  C. Azorín-Molina,et al.  Canopy influence on snow depth distribution in a pine stand determined from terrestrial laser data , 2015 .

[35]  Santiago Beguería,et al.  Variability of snow depth at the plot scale: implications for mean depth estimation and sampling strategies , 2011 .

[36]  Cesar Azorin-Molina,et al.  Topographic control of snowpack distribution in a small catchment in the central Spanish Pyrenees: intra- and inter-annual persistence , 2014 .

[37]  Daniel G. Brown Predicting vegetation types at treeline using topography and biophysical disturbance variables , 1994 .

[38]  B. Ostendorf,et al.  GIS-based modelling of spatial pattern of snow cover duration in an alpine area , 2001 .

[39]  Jessica D. Lundquist,et al.  Ground-based testing of MODIS fractional snow cover in subalpine meadows and forests of the Sierra Nevada , 2013 .

[40]  Konstantine P. Georgakakos,et al.  Estimating snow depletion curves for American River basins using distributed snow modeling , 2007 .

[41]  K. Franz,et al.  Calibration of a distributed snow model using MODIS snow covered area data , 2013 .

[42]  F. Babst,et al.  Multi-century evaluation of Sierra Nevada snowpack , 2015 .

[43]  Michael Lehning,et al.  Scaling properties of wind and snow depth distribution in an Alpine catchment , 2011 .

[44]  Younes Alila,et al.  The influence of forest and topography on snow accumulation and melt at the watershed-scale , 2007 .

[45]  J. Dedieu,et al.  Modelling snow cover duration improves predictions of functional and taxonomic diversity for alpine plant communities. , 2015, Annals of botany.

[46]  J. R. Landis,et al.  The measurement of observer agreement for categorical data. , 1977, Biometrics.

[47]  Thomas H. Painter,et al.  The Airborne Snow Observatory: Fusion of scanning lidar, imaging spectrometer, and physically-based modeling for mapping snow water equivalent and snow albedo , 2016 .

[48]  P. Rich,et al.  A geometric solar radiation model with applications in agriculture and forestry , 2002 .

[49]  J. Lundquist,et al.  Spatial Heterogeneity in Ecologically Important Climate Variables at Coarse and Fine Scales in a High-Snow Mountain Landscape , 2013, PloS one.

[50]  J. Lundquist,et al.  Evaluating observational methods to quantify snow duration under diverse forest canopies , 2014 .

[51]  C. Daly,et al.  A Statistical-Topographic Model for Mapping Climatological Precipitation over Mountainous Terrain , 1994 .

[52]  J. Lundquist,et al.  Observations of distributed snow depth and snow duration within diverse forest structures in a maritime mountain watershed , 2015 .

[53]  G. Blöschl,et al.  The value of MODIS snow cover data in validating and calibrating conceptual hydrologic models , 2008 .

[54]  C. Daly,et al.  Physiographically sensitive mapping of climatological temperature and precipitation across the conterminous United States , 2008 .

[55]  J. Lundquist,et al.  Onset of Snowmelt and Streamflow in 2004 in the Western United States: How Shading May Affect Spring Streamflow Timing in a Warmer World , 2006 .

[56]  W. Leeuwen,et al.  Fractional snow cover estimation in complex alpine-forested environments using an artificial neural network , 2015 .

[57]  P. Burlando,et al.  The value of glacier mass balance, satellite snow cover images, and hourly discharge for improving the performance of a physically based distributed hydrological model , 2011 .

[58]  S. Weiss,et al.  GLM versus CCA spatial modeling of plant species distribution , 1999, Plant Ecology.

[59]  Dmitri Kavetski,et al.  Representing spatial variability of snow water equivalent in hydrologic and land‐surface models: A review , 2011 .

[60]  Michael Lehning,et al.  Persistence in intra‐annual snow depth distribution: 1. Measurements and topographic control , 2011 .

[61]  Regeneration of subalpine fir (Abieslasiocarpa) following fire: effects of climate and other factors , 1994 .

[62]  Jürgen Böhner,et al.  Land-Surface Parameters Specific to Topo-Climatology , 2009 .

[63]  R. L. Little,et al.  Changes in sub-alpine tree distribution in western North America: a review of climatic and other causal factors , 1994 .

[64]  G. Liston Representing Subgrid Snow Cover Heterogeneities in Regional and Global Models , 2004 .

[65]  P. Choler Consistent Shifts in Alpine Plant Traits along a Mesotopographical Gradient , 2005 .

[66]  Hongyi Li,et al.  Downscaling Snow Cover Fraction Data in Mountainous Regions Based on Simulated Inhomogeneous Snow Ablation , 2015, Remote. Sens..

[67]  Christopher A. Hiemstra,et al.  Snow Redistribution by Wind and Interactions with Vegetation at Upper Treeline in the Medicine Bow Mountains, Wyoming, U.S.A. , 2002 .

[68]  J. Dozier,et al.  High-Elevation Precipitation Patterns: Using Snow Measurements to Assess Daily Gridded Datasets across the Sierra Nevada, California* , 2015 .

[69]  David G. Tarboton,et al.  Sub-grid parameterization of snow distribution for an energy and mass balance snow cover model , 1999 .

[70]  J. Revuelto,et al.  The effect of slope aspect on the response of snowpack to climate warming in the Pyrenees , 2014, Theoretical and Applied Climatology.

[71]  Jessica D. Lundquist,et al.  Comparing and combining SWE estimates from the SNOW‐17 model using PRISM and SWE reconstruction , 2012 .

[72]  D. Cayan,et al.  Variability of Cloudiness over Mountain Terrain in the Western United States , 2017 .

[73]  Matthew Sturm,et al.  Using repeated patterns in snow distribution modeling: An Arctic example , 2010 .

[74]  Steven R. Fassnacht,et al.  Snowpack variability across various spatio‐temporal resolutions , 2015 .

[75]  Glen E. Liston,et al.  Local Advection of Momentum, Heat, and Moisture during the Melt of Patchy Snow Covers , 1995 .

[76]  Steven A. Margulis,et al.  A Landsat-Era Sierra Nevada Snow Reanalysis (1985-2015) , 2016 .

[77]  Danny Marks,et al.  Simulating wind fields and snow redistribution using terrain‐based parameters to model snow accumulation and melt over a semi‐arid mountain catchment , 2002 .

[78]  Robert J. Gurney,et al.  Simulating wind-affected snow accumulations at catchment to basin scales , 2013 .