Estimating relationships between snow water equivalent, snow covered area, and topography to extend the Airborne Snow Observatory dataset

Abstract. A new spatio-temporal dataset from the ongoing Airborne Snow Observatory (ASO) provides an unprecedented look at the spatial and temporal patterns of snow water equivalent (SWE) over multiple years in the Tuolumne Basin, California, USA. We found that fractional snow covered area (fSCA) significantly improves our ability to model the distribution of SWE based on relationships between SWE, fSCA, and topography. Further, the broad availability of satellite images of fSCA facilitates the transfer of these relationship to different years with minimal degradation in performance (r2 = 0.85, % MAE = 33 %, % Bias = 1 %) compared with models fit on the same day, by considering variations in SWE depth as expressed by differences in fSCA between years. The crux of this proposition is in selecting the model to transfer. We offer a method with which to select a model from another year based on the similarity in SWE distribution at existing snow pillows in the area. Comparison of the best transferred predictions and the selected predictions results in a mild decrease in r2 (0.02) and moderate increases in % MAE (15 %) and % Bias (10 %). The results motivate further refinement in the technique used to select the best model because if these dates can be identified then SWE can be modeled at accuracy levels equivalent to models generated from ASO data collected on the day of interest. Lastly, we found that models from ASO observations of anomalously low snowpacks in 2015 still transferred to other years, although the same cannot be said for the reverse. This research provides a first attempt at extending the value of ASO beyond the observations and we expect ASO will continue to provide insights for improving water resource management for years to come.

[1]  Roger C. Bales,et al.  Scaling snow observations from the point to the grid element: Implications for observation network design , 2005 .

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

[3]  Chris Derksen,et al.  Estimating Snow Water Equivalent Using Snow Depth Data and Climate Classes , 2010 .

[4]  Naoki Mizukami,et al.  Spatiotemporal Characteristics of Snowpack Density in the Mountainous Regions of the Western United States , 2008 .

[5]  M. Nolan,et al.  Mapping snow depth from manned aircraft on landscape scales at centimeter resolution using structure-from-motion photogrammetry , 2015 .

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

[7]  Jeff Dozier,et al.  Automated Mapping of Montane Snow Cover at Subpixel Resolution from the Landsat Thematic Mapper , 1996 .

[8]  T. Seastedt,et al.  Topographic controls on snow distribution, soil moisture, and species diversity of herbaceous alpine vegetation, Niwot Ridge, Colorado , 2008 .

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

[10]  Ånund Killingtveit,et al.  Statistical probability distribution of snow depth at the model sub‐grid cell spatial scale , 2005 .

[11]  Michael D. Dettinger,et al.  Changes toward Earlier Streamflow Timing across Western North America , 2005 .

[12]  Noah P. Molotch,et al.  Real‐time estimation of snow water equivalent in the Upper Colorado River Basin using MODIS‐based SWE Reconstructions and SNOTEL data , 2016 .

[13]  D. Lawrence,et al.  Parameterization improvements and functional and structural advances in Version 4 of the Community Land Model , 2011 .

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

[15]  Wolfram Mauser,et al.  Measuring Snow Liquid Water Content with Low-Cost GPS Receivers , 2014, Sensors.

[16]  Zong-Liang Yang,et al.  An observation-based formulation of snow cover fraction and its evaluation over large North American river basins , 2007 .

[17]  R. Purves,et al.  Influence of snow depth distribution on surface roughness in alpine terrain: a multi-scale approach , 2013 .

[18]  Kevin W. Manning,et al.  The community Noah land surface model with multiparameterization options (Noah-MP): 1. Model description and evaluation with local-scale measurements , 2011 .

[19]  N. Molotch,et al.  Estimating the distribution of snow water equivalent using remotely sensed snow cover data and a spatially distributed snowmelt model: A multi-resolution, multi-sensor comparison , 2008 .

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

[21]  Hans-Peter Marshall,et al.  FMCW radars for snow research , 2008 .

[22]  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 .

[23]  D. Tarboton,et al.  The application of depletion curves for parameterization of subgrid variability of snow , 2004 .

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

[25]  Roger C. Bales,et al.  SNOTEL representativeness in the Rio Grande headwaters on the basis of physiographics and remotely sensed snow cover persistence , 2006 .

[26]  N. Rutter,et al.  Evaluation of the NOHRSC Snow Model (NSM) in a One-Dimensional Mode , 2008 .

[27]  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 .

[28]  J. M. Sappington,et al.  Quantifying Landscape Ruggedness for Animal Habitat Analysis: A Case Study Using Bighorn Sheep in the Mojave Desert , 2007 .

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

[30]  Kelly Elder,et al.  Scaling properties and spatial organization of snow depth fields in sub‐alpine forest and alpine tundra , 2009 .

[31]  Martyn P. Clark,et al.  Uncertainty in seasonal snow reconstruction: Relative impacts of model forcing and image availability , 2013 .

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

[33]  Albert Rango,et al.  Areal distribution of snow water equivalent evaluated by snow cover monitoring , 1981 .

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

[35]  Janneke HilleRisLambers,et al.  An evaluation of terrain‐based downscaling of fractional snow covered area data sets based on LiDAR‐derived snow data and orthoimagery , 2017 .

[36]  H. Zou,et al.  Regularization and variable selection via the elastic net , 2005 .

[37]  J. Dozier,et al.  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 , 2005 .

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

[39]  Dennis P. Lettenmaier,et al.  Noah LSM Snow Model Diagnostics and Enhancements , 2010 .

[40]  Robert Haining,et al.  Statistics for spatial data: by Noel Cressie, 1991, John Wiley & Sons, New York, 900 p., ISBN 0-471-84336-9, US $89.95 , 1993 .

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

[42]  Tobias Jonas,et al.  Backward snow depth reconstruction at high spatial resolution based on time‐lapse photography , 2016 .

[43]  Günter Blöschl,et al.  Spatio‐temporal combination of MODIS images – potential for snow cover mapping , 2008 .

[44]  Matthew Sturm,et al.  Mapping snow distribution in the Alaskan Arctic using aerial photography and topographic relationships , 1998 .