Filling in the gaps: Inferring spatially distributed precipitation from gauge observations over complex terrain

In recent decades, computational hydrology has trended toward higher-resolution distributed models of the land surface. The accuracy of these models is limited, by uncertainty in distributed precipitation forcings. In this research, different precipitation distribution schemes were compared through inter-station transfer experiments, as well as within a distributed hydrologic model applied at ≤150 m resolution over four study catchments in complex terrain. Distributed precipitation estimates were derived using multiplicative spatial scaling (MSS) and map-based precipitation (MBP) techniques including both climatological and time-varying spatial information from a range of native spatial resolutions (500 m–4 km). The primary interest was to evaluate a novel application of satellite-based snow water equivalent (SWE) reconstruction (RSWE) as a surrogate for cold season precipitation against a common source of spatial precipitation information: the Parameter-elevation Regressions on Independent Slopes Model (PRISM). An elevation-based orographic precipitation gradient and simple inverse-distance interpolation were also included as a baseline. For the case of RSWE, MSS was very sensitive to differences between observed SWE and reconstructed SWE, producing positive biases in the catchment water balance. Over 12 year simulations, daily streamflow correlations from the uncalibrated model were highest for RSWE when adjusted for accumulation-season sublimation, and for monthly PRISM, both achieving R=0.8, where the former performed better during anomalous years for both MSS and MBP. Annual water balance ratios were much more sensitive to the choice of distribution scheme, with large overestimates, > 30%, for RSWE products using the MSS techniques versus MBP (< 15%). Overall, PRISM performed best using MSS, while RSWE performed best using MBP.

[1]  D. Lettenmaier,et al.  A Long-Term Hydrologically Based Dataset of Land Surface Fluxes and States for the Conterminous United States* , 2002 .

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

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

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

[5]  P. Goovaerts Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall , 2000 .

[6]  John Kochendorfer,et al.  How Well Are We Measuring Snow: The NOAA/FAA/NCAR Winter Precipitation Test Bed , 2012 .

[7]  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 .

[8]  Dmitri Kavetski,et al.  Rainfall uncertainty in hydrological modelling: An evaluation of multiplicative error models , 2011 .

[9]  Robert A. Vertessy,et al.  Predicting water yield from a mountain ash forest catchment using a terrain analysis based catchment model , 1993 .

[10]  M. Parlange,et al.  Improved interpolation of meteorological forcings for hydrologic applications in a Swiss Alpine region , 2011 .

[11]  P. Ayral,et al.  Impact of rainfall spatial distribution on rainfall-runoff modelling efficiency and initial soil moisture conditions estimation , 2011 .

[12]  David C. Garen,et al.  Spatially distributed energy balance snowmelt modelling in a mountainous river basin: estimation of meteorological inputs and verification of model results , 2005 .

[13]  J. Lundquist,et al.  A Comparison of Methods for Filling Gaps in Hourly Near-Surface Air Temperature Data , 2013 .

[14]  R. Essery,et al.  Effect of covariance between ablation and snow water equivalent on depletion of snow-covered area in a forest , 2000 .

[15]  Dennis P. Lettenmaier,et al.  Hydrologic effects of logging in western Washington, United States , 2000 .

[16]  C. Tomasi,et al.  Calculations of relative optical air masses for various aerosol types and minor gases in Arctic and Antarctic atmospheres , 2014 .

[17]  M. Thyer,et al.  Diagnosing a distributed hydrologic model for two high‐elevation forested catchments based on detailed stand‐ and basin‐scale data , 2004 .

[18]  J. Boll,et al.  A hillslope‐scale experiment to measure lateral saturated hydraulic conductivity , 2004 .

[19]  C. Cudennec,et al.  Incorporating elevation in rainfall interpolation in Tunisia using geostatistical methods , 2012 .

[20]  A. Bárdossy,et al.  Influence of rainfall observation network on model calibration and application , 2006 .

[21]  Dennis P. Lettenmaier,et al.  On the contribution of groundwater storage to interannual streamflow anomalies in the Colorado River basin , 2012 .

[22]  Thomas H. Painter,et al.  Snow water equivalent in the Sierra Nevada: Blending snow sensor observations with snowmelt model simulations , 2013 .

[23]  M. Wigmosta,et al.  A distributed hydrology-vegetation model for complex terrain , 1994 .

[24]  Robert Rice,et al.  Embedded‐sensor network design for snow cover measurements around snow pillow and snow course sites in the Sierra Nevada of California , 2010 .

[25]  J. Arnold,et al.  Development of a snowfall-snowmelt routine for mountainous terrain for the soil water assessment tool (SWAT) , 2002 .

[26]  Timothy E. Link,et al.  Subgrid variability of snow water equivalent at operational snow stations in the western USA , 2013 .

[27]  Raghavan Srinivasan,et al.  GIS‐Based Spatial Precipitation Estimation: A Comparison of Geostatistical Approaches 1 , 2009 .

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

[29]  Martyn P. Clark,et al.  Framework for Understanding Structural Errors (FUSE): A modular framework to diagnose differences between hydrological models , 2008 .

[30]  M. Clark,et al.  Probabilistic Quantitative Precipitation Estimation in Complex Terrain , 2005 .

[31]  Eric Gaume,et al.  Uncertainties on mean areal precipitation: assessment and impact on streamflow simulations , 2008 .

[32]  A. Dégre,et al.  Geostatistical interpolation of daily rainfall at catchment scale: the use of several variogram models in the Ourthe and Ambleve catchments, Belgium , 2011 .

[33]  Dennis P. Lettenmaier,et al.  Application of a GIS-based distributed hydrology model for prediction of forest harvest effects on peak stream flow in the Pacific Northwest , 1998 .

[34]  M. Schneebeli,et al.  Orographic effects on snow deposition patterns in mountainous terrain , 2014 .

[35]  C. Willmott,et al.  Uncertainties in Precipitation and Their Impacts on Runoff Estimates , 2004 .

[36]  Qingyun Duan,et al.  An integrated hydrologic Bayesian multimodel combination framework: Confronting input, parameter, and model structural uncertainty in hydrologic prediction , 2006 .

[37]  M. Ek,et al.  Hyperresolution global land surface modeling: Meeting a grand challenge for monitoring Earth's terrestrial water , 2011 .

[38]  Qiuhong Tang,et al.  Estimating the water budget of major US river basins via remote sensing , 2010 .

[39]  J. Lundquist,et al.  Relationships between Barrier Jet Heights, Orographic Precipitation Gradients, and Streamflow in the Northern Sierra Nevada , 2010 .

[40]  Christopher A. Barnes,et al.  Completion of the 2006 National Land Cover Database for the conterminous United States. , 2011 .

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

[42]  G. Flerchinger,et al.  A ten-year water balance of a mountainous semi-arid watershed computed by aggregating landscape units. , 2000 .

[43]  N. Molotch Reconstructing snow water equivalent in the Rio Grande headwaters using remotely sensed snow cover data and a spatially distributed snowmelt model , 2009 .

[44]  R. Davis,et al.  Snow Cover Depletion Curves and Snow Water Equivalent Reconstruction , 2014 .

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

[46]  Julie A. Vano,et al.  Hydrologic Sensitivities of Colorado River Runoff to Changes in Precipitation and Temperature , 2012 .

[47]  Eric A. Rosenberg,et al.  A Long-Term Hydrologically Based Dataset of Land Surface Fluxes and States for the Conterminous United States: Update and Extensions* , 2002 .

[48]  J. Eischeid,et al.  Constructing Retrospective Gridded Daily Precipitation and Temperature Datasets for the Conterminous United States , 2008 .

[49]  Peter E. Thornton,et al.  Simultaneous estimation of daily solar radiation and humidity from observed temperature and precipitation: an application over complex terrain in Austria. , 2000 .

[50]  J. Dudhia,et al.  High resolution coupled climate-runoff simulations of seasonal snowfall over Colorado: A process study of current and warmer climate , 2011 .

[51]  Christof Bigler,et al.  Drought induces lagged tree mortality in a subalpine forest in the Rocky Mountains , 2007 .

[52]  Roger C. Bales,et al.  Elevation-dependent influence of snow accumulation on forest greening , 2012 .

[53]  J. Janowiak,et al.  CMORPH: A Method that Produces Global Precipitation Estimates from Passive Microwave and Infrared Data at High Spatial and Temporal Resolution , 2004 .

[54]  Andrew C. Whitaker,et al.  Application of the distributed hydrology soil vegetation model to Redfish Creek, British Columbia: model evaluation using internal catchment data , 2003 .

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

[56]  Younes Alila,et al.  Variability of snow water equivalent and snow energetics across a large catchment subject to Mountain Pine Beetle infestation and rapid salvage logging. , 2010 .

[57]  G. McCabe,et al.  Precipitation interpolation in mountainous regions using multiple linear regression , 1998 .

[58]  Dennis P. Lettenmaier,et al.  Effects of forest roads on flood flows in the Deschutes River, Washington , 2001 .

[59]  Steffen Zacharias,et al.  Excluding Organic Matter Content from Pedotransfer Predictors of Soil Water Retention , 2007 .

[60]  D. Lettenmaier,et al.  Production of Temporally Consistent Gridded Precipitation and Temperature Fields for the Continental United States , 2005 .

[61]  David W. Pierce,et al.  Future dryness in the southwest US and the hydrology of the early 21st century drought , 2010, Proceedings of the National Academy of Sciences.