Using artificial neural networks to estimate snow water equivalent from snow depth

References

• Abrahart, Robert J., François Anctil, Paulin Coulibaly, Christian W. Dawson, Nick J. Mount, Linda M. See, Asaad Y. Shamseldin, Dimitri P. Solomatine, Elena Toth, and Robert L. Wilby. 2012. “Two Decades of Anarchy? Emerging Themes and Outstanding Challenges for Neural Network River Forecasting.” Progress in Physical Geography: Earth and Environment 36 (4): 480–513. doi:10.1177/0309133312444943.
   Google Scholar
• Alavi, Nasim, Stéphane Bélair, Vincent Fortin, Shunli Zhang, Syed Z. Husain, Marco L. Carrera, and Maria Abrahamowicz. 2016. “Warm Season Evaluation of Soil Moisture Prediction in the Soil, Vegetation, and Snow (SVS) Scheme.” Journal of Hydrometeorology 17 (8): 2315–2332. doi:10.1175/JHM-D-15-0189.1.
   Web of Science ®Google Scholar
• American Society of Civil Engineers. 2000a. “Artificial Neural Networks in Hydrology. I: Preliminary Concepts.” Journal of Hydrologic Engineering 5 (2): 115–123.
   Web of Science ®Google Scholar
• American Society of Civil Engineers 2000b. “Artificial Neural Networks in Hydrology. II: Hydrologic Applications.” Journal of Hydrologic Engineering 5 (2): 124–137. doi:10.1061/(ASCE)1084-0699(2000)5:2(124).
   Web of Science ®Google Scholar
• Barnett, T. P., J. C. Adam, and D. P. Lettenmaier. 2005. “Potential Impacts of a Warming Climate on Water Availability in Snow-Dominated Regions.” Nature 438 (7066): 303–309. doi:10.1038/nature04141.
   PubMed Web of Science ®Google Scholar
• Bélair, Stéphane, Ross Brown, Jocelyn Mailhot, Bernard Bilodeau, and Louis-Philippe Crevier. 2003. “Operational Implementation of the ISBA Land Surface Scheme in the Canadian Regional Weather Forecast Model. Part II: Cold Season Results.” Journal of Hydrometeorology 4 (2): 371–386. doi:10.1175/1525-7541(2003)4<371:OIOTIL > 2.0.CO;2.
   Web of Science ®Google Scholar
• Bergeron, Onil. 2017. “Grilles Climatiques Quotidiennes Du Programme de Surveillance Du Climat Du Québec, Version 2 – Guide d’utilisation.” Québec: Ministère du Développement durable, de l’Environnement et de la Lutte contre les changements climatiques, Direction du suivi de l’état de l’environnement.
   Google Scholar
• Boucher, M.-A., J.-P. Laliberté, and F. Anctil. 2010. “An Experiment on the Evolution of an Ensemble of Neural Networks for Streamflow Forecasting.” Hydrology and Earth System Sciences 14 (3): 603–612. doi:10.5194/hess-14-603-2010.
   Web of Science ®Google Scholar
• Broxton, Patrick D., Willem J. D. Leeuwen, and Joel A. Biederman. 2019. “Improving Snow Water Equivalent Maps with Machine Learning of Snow Survey and Lidar Measurements.” Water Resources Research 55 (5): 3739–3757. doi:10.1029/2018WR024146.
   Web of Science ®Google Scholar
• Brun, E., Ε. Martin, V. Simon, C. Gendre, and C. Coleou. 1989. “An Energy and Mass Model of Snow Cover Suitable for Operational Avalanche Forecasting.” Journal of Glaciology 35 (121): 333–342. doi:10.1017/S0022143000009254.
   Web of Science ®Google Scholar
• Czyzowska-Wisniewski, Elzbieta H., Willem J. D. van Leeuwen, Katherine K. Hirschboeck, Stuart E. Marsh, and Wit T. Wisniewski. 2015. “Fractional Snow Cover Estimation in Complex Alpine-Forested Environments Using an Artificial Neural Network.” Remote Sensing of Environment 156: 403–417. doi:10.1016/j.rse.2014.09.026.
   Web of Science ®Google Scholar
• Dawson, C. W., and R. L. Wilby. 2001. “Hydrological Modelling Using Artificial Neural Networks.” Progress in Physical Geography: Earth and Environment 25 (1): 80–108. doi:10.1177/030913330102500104.
   Google Scholar
• Dawson, Nicholas, Patrick Broxton, and Xubin Zeng. 2017. “A New Snow Density Parameterization for Land Data Initialization.” Journal of Hydrometeorology 18 (1): 197–207. doi:10.1175/JHM-D-16-0166.1.
   Web of Science ®Google Scholar
• Doesken, Nolan J., and Arthur Judson. 1997. The Snow Booklet: A Guide to the Science, Climatology, and Measurement of Snow in the United States. Fort Collins, CO: Colorado State University Publications & Printing.
   Google Scholar
• Fortin, V., M. Abaza, F. Anctil, and R. Turcotte. 2014. “Why Should Ensemble Spread Match the RMSE of the Ensemble Mean?” Journal of Hydrometeorology 15 (4): 1708–1713. doi:10.1175/JHM-D-14-0008.1.
   Web of Science ®Google Scholar
• Hock, Regine, Gwyn Rees, Mark W. Williams, and Edson Ramirez. 2006. “Contribution from Glaciers and Snow Cover to Runoff from Mountains in Different Climates.” Hydrological Processes 20 (10): 2089–2090. doi:10.1002/hyp.6206.
   Web of Science ®Google Scholar
• Husain, Syed Zahid, Nasim Alavi, Stéphane Bélair, Marco Carrera, Shunli Zhang, Vincent Fortin, Maria Abrahamowicz, and Nathalie Gauthier. 2016. “The Multibudget Soil, Vegetation, and Snow (SVS) Scheme for Land Surface Parameterization: Offline Warm Season Evaluation.” Journal of Hydrometeorology 17 (8): 2293–2313. doi:10.1175/JHM-D-15-0228.1.
   Web of Science ®Google Scholar
• Jonas, T., C. Marty, and J. Magnusson. 2009. “Estimating the Snow Water Equivalent from Snow Depth Measurements in the Swiss Alps.” Journal of Hydrology 378 (1-2): 161–167. doi:10.1016/j.jhydrol.2009.09.021.
   Web of Science ®Google Scholar
• Kinar, N. J., and J. W. Pomeroy. 2015. “Measurement of the Physical Properties of the Snowpack.” Reviews of Geophysics 53 (2): 481–544. doi:10.1002/2015RG000481.
   Web of Science ®Google Scholar
• Levenberg, Kenneth. 1944. “A Method for the Solution of Certain Non-Linear Problems in Least Squares.” Quarterly of Applied Mathematics 2 (2): 164–168. doi:10.1090/qam/10666.
   Google Scholar
• Maier, Holger R., and Graeme C. Dandy. 2000. “Neural Networks for the Prediction and Forecasting of Water Resources Variables: A Review of Modelling Issues and Applications.” Environmental Modelling & Software 15 (1): 101–124. doi:10.1016/S1364-8152(99)00007-9.
   Web of Science ®Google Scholar
• Marks, Danny, James Domingo, Dave Susong, Tim Link, and David Garen. 1999. “A Spatially Distributed Energy Balance Snowmelt Model for Application in Mountain Basins.” Hydrological Processes 13 (12-13): 1935–1959. doi:10.1002/(SICI)1099-1085(199909)13:12/13<1935::AID-HYP868>3.0.CO;2-C.
   Web of Science ®Google Scholar
• Marquardt, Donald W. 1963. “An Algorithm for Least-Squares Estimation of Nonlinear Parameters.” Journal of the Society for Industrial and Applied Mathematics 11 (2): 431–441. doi:10.1137/0111030.
   Google Scholar
• Matheson, James E., and Robert L. Winkler. 1976. “Scoring Rules for Continuous Probability Distributions.” Management Science 22 (10): 1087–1096. doi:10.1287/mnsc.22.10.1087.
   Web of Science ®Google Scholar
• McCreight, J. L., and E. E. Small. 2014. “Modeling Bulk Density and Snow Water Equivalent Using Daily Snow Depth Observations.” The Cryosphere 8 (2): 521–536. doi:10.5194/tc-8-521-2014.
   Web of Science ®Google Scholar
• Meløysund, Vivian, Bernt Leira, Karl V. Høiseth, and Kim Robert Lisø. 2007. “Predicting Snow Density Using Meteorological Data.” Meteorological Applications 14 (4): 413–423. doi:10.1002/met.40.
   Web of Science ®Google Scholar
• Ministère de l’Environnement et de la Lutte contre les Changements Climatiques. 2019. Données Du Réseau de Surveillance Du Climat Du Québec. Québec: Direction générale du suivi de l’état de l’environnement.
   Google Scholar
• Mizukami, Naoki, and Sanja Perica. 2008. “Spatiotemporal Characteristics of Snowpack Density in the Mountainous Regions of the Western United States.” Journal of Hydrometeorology 9 (6): 1416–1426. doi:10.1175/2008JHM981.1.
   Web of Science ®Google Scholar
• Painter, Thomas H., Daniel F. Berisford, Joseph W. Boardman, Kathryn J. Bormann, Jeffrey S. Deems, Frank Gehrke, Andrew Hedrick, et al. 2016. “The Airborne Snow Observatory: Fusion of Scanning Lidar, Imaging Spectrometer, and Physically-Based Modeling for Mapping Snow Water Equivalent and Snow Albedo.” Remote Sensing of Environment 184: 139–152. doi:10.1016/j.rse.2016.06.018.
   Web of Science ®Google Scholar
• Rafiq, M. Y., G. Bugmann, and D. J. Easterbrook. 2001. “Neural Network Design for Engineering Applications.” Computers & Structures 79 (17): 1541–1552. doi:10.1016/S0045-7949(01)00039-6.
   Web of Science ®Google Scholar
• Seibert, Jan, Michal Jenicek, Matthias Huss, and, Tracy Ewen. 2015. “Chapter 4 – Snow and Ice in the Hydrosphere.” In Snow and Ice-Related Hazards, Risks and Disasters, edited by John F. Shroder, Wilfried Haeberli, and Colin Whiteman, 99–137. Boston: Academic Press.
   Google Scholar
• Sexstone, G. A., and S. R. Fassnacht. 2014. “What Drives Basin Scale Spatial Variability of Snowpack Properties in Northern Colorado?” The Cryosphere 8 (2): 329–344. doi:10.5194/tc-8-329-2014.
   Web of Science ®Google Scholar
• Sturm, Matthew, Jon Holmgren, and Glen E. Liston. 1995. “A Seasonal Snow Cover Classification System for Local to Global Applications.” Journal of Climate 8 (5): 1261–83. doi:10.1175/1520-0442(1995)008<1261:ASSCCS>2.0.CO;2
   Google Scholar
• Sturm, Matthew, Brian Taras, Glen E. Liston, Chris Derksen, Tobias Jonas, and Jon Lea. 2010. “Estimating Snow Water Equivalent Using Snow Depth Data and Climate Classes.” Journal of Hydrometeorology 11 (6): 1380–1394. doi:10.1175/2010JHM1202.1.
   Web of Science ®Google Scholar
• Tabari, Hossein, S. Marofi, H. Zare Abyaneh, and M. R. Sharifi. 2010. “Comparison of Artificial Neural Network and Combined Models in Estimating Spatial Distribution of Snow Depth and Snow Water Equivalent in Samsami Basin of Iran.” Neural Computing and Applications 19 (4): 625–635. doi:10.1007/s00521-009-0320-9.
   Web of Science ®Google Scholar
• Tedesco, M., J. Pulliainen, M. Takala, M. Hallikainen, and P. Pampaloni. 2004. “Artificial Neural Network-Based Techniques for the Retrieval of SWE and Snow Depth from SSM/I Data.” Remote Sensing of Environment 90 (1): 76–85. doi:10.1016/j.rse.2003.12.002.
   Web of Science ®Google Scholar
• Vionnet, V., E. Brun, S. Morin, A. Boone, S. Faroux, P. Le Moigne, E. Martin, and J.-M. Willemet. 2012. “The Detailed Snowpack Scheme Crocus and Its Implementation in SURFEX v7.2.” Geoscientific Model Development 5 (3): 773–791. doi:10.5194/gmd-5-773-2012.
   Web of Science ®Google Scholar