An enhanced temperature-index glacier melt model including the shortwave radiation balance: development and testing for Haut Glacier d'Arolla, Switzerland

An enhanced temperature-index glacier melt model, incorporating incoming shortwave radiation and albedo, is presented. The model is an attempt to combine the high temporal resolution and accuracy of physically based melt models with the lower data requirements and computational simplicity of empirical melt models, represented by the ‘degree-day’ method and its variants. The model is run with both measured and modelled radiation data, to test its applicability to glaciers with differing data availability. Five automatic weather stations were established on Haut Glacier d’Arolla, Switzerland, between May and September 2001. Reference surface melt rates were calculated using a physically based energy-balance melt model. The performance of the enhanced temperature-index model was tested at each of the four validation stations by comparing predicted hourly melt rates with reference melt rates. Predictions made with three other temperature-index models were evaluated in the same way for comparison. The enhanced temperature-index model offers significant improvements over the other temperature-index models, and accounts for 90–95% of the variation in the reference melt rate. The improvement is lower, but still significant, when the model is forced by modelled shortwave radiation data, thus offering a better alternative to existing models that require only temperature data input.

[1]  Philippe Huybrechts,et al.  The Greenland ice sheet and greenhouse warming , 1991 .

[2]  S. Warren,et al.  A Model for the Spectral Albedo of Snow. I: Pure Snow , 1980 .

[3]  D. S. Munro,et al.  Surface Roughness and Bulk Heat Transfer on a Glacier: Comparison with Eddy Correlation , 1989, Journal of Glaciology.

[4]  H. Oerter,et al.  Modelling ablation and mass-balance sensitivity to climate change of Storstrømmen, northeast greenland , 1994 .

[5]  Walter J. Rawls,et al.  Predicting runoff from Rangeland Catchments: A comparison of two models , 1990 .

[6]  R. Böhm,et al.  2 m temperatures along melting mid-latitude glaciers, and implications for the sensitivity of the mass balance to variations in temperature , 1998, Journal of Glaciology.

[7]  Andrew G. Fountain,et al.  Water flow through temperate glaciers , 1998 .

[8]  Prediction of Glacier Derived Runoff for Hydroelectric Development , 1984 .

[9]  A. Arendt,et al.  Energy balance measurements on a Canadian high Arctic glacier and their implications for mass balance modelling , 1999 .

[10]  A. Rango,et al.  Parameter values for snowmelt runoff modelling , 1986 .

[11]  Tómas Jóhannesson,et al.  Degree-day glacier mass-balance modelling with applications to glaciers in Iceland, Norway and Greenland , 1995 .

[12]  K. Trenberth,et al.  Effects of Clouds, Soil Moisture, Precipitation, and Water Vapor on Diurnal Temperature Range , 1999 .

[13]  Roger J. Braithwaite Positive degree-day factors for ablation on the Greenland ice sheet studied by energy-balance modelling , 1995 .

[14]  H. Mannstein The interpretation of albedo measurements on a snowcovered slope , 1985 .

[15]  G. D. Fontana,et al.  Snowmelt modelling by combining air temperature and a distributed radiation index , 1996 .

[16]  M. Iqbal An introduction to solar radiation , 1983 .

[17]  B. Brock,et al.  A spreadsheet-based (Microsoft Excel) point surface energy balance model for glacier and snow melt studies. , 2000 .

[18]  M. Sharp,et al.  Measurement and parameterization of albedo variations at Haut Glacier d’Arolla, Switzerland , 2000, Journal of Glaciology.

[19]  A. Ohmura,et al.  Radiative fluxes and their impact on the energy balance of the Greenland ice sheet , 1995 .

[20]  Regine Hock,et al.  Temperature index melt modelling in mountain areas , 2003 .

[21]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[22]  C. Genthon,et al.  Mass Balance of the Cryosphere: Modelling land-ice surface mass balance , 2004 .

[23]  Anthony J. Jakeman,et al.  Runoff modelling for snow-affected catchments in the Australian alpine region, eastern Victoria , 1997 .

[24]  O. Olesen,et al.  A Simple Energy-Balance Model to Calculate Ice Ablation at the Margin of the Greenland Ice Sheet , 1990, Journal of Glaciology.

[25]  L. Hinzman,et al.  Snowmelt Modeling at Small Alaskan Arctic Watershed , 1997 .

[26]  Neil S. Arnold,et al.  Modelling seasonal and spatial variations in the surface energy balance of Haut Glacier d’Arolla, Switzerland , 2000, Annals of Glaciology.

[27]  Massimiliano Zappa,et al.  Seasonal Water Balance of an Alpine Catchment as Evaluated by Different Methods for Spatially Distributed Snowmelt Modelling , 2003 .

[28]  B. Denby,et al.  The use of bulk and profile methods for determining surface heat fluxes in the presence of glacier winds , 2000, Journal of Glaciology.

[29]  J. Monteith,et al.  Boundary Layer Climates. , 1979 .

[30]  B. Brock An analysis of short‐term albedo variations at haut glacier d'arolla, switzerland , 2004 .

[31]  Martin Funk,et al.  Spatial and temporal variability of meteorological variables at Haut Glacier d'Arolla (Switzerland) during the ablation season 2001: Measurements and simulations , 2004 .

[32]  M. Tranter Interactions between the cryosphere, climate and greenhouse gases : proceedings of an international symposium held during IUGG 99, the XXII General Assembly of the International Union of Geodesy and Geophysics, at Birmingham, UK, 18-30 July 1999 , 1999 .

[33]  R. Braithwaite,et al.  Modelling changes in glacier mass balance that may occur as a result of climate changes , 1999 .

[34]  B. Anderson,et al.  Modelling the response of glaciers to climate warming , 1998 .

[35]  N. Reeh,et al.  Sensitivity to climate change of the mass balance of glaciers in southern Norway , 1993 .

[36]  Edgar L. Andreas,et al.  A theory for the scalar roughness and the scalar transfer coefficients over snow and sea ice , 1987 .

[37]  D. S. Munro COMPARISON OF MELT ENERGY COMPUTATIONS AND ABLATOMETER MEASUREMENTS ON MELTING ICE AND SNOW , 1990 .

[38]  P. Marsh Snowcover formation and melt: recent advances and future prospects , 1999 .

[39]  F. Müller,et al.  Errors in short-term ablation measurements on melting ice surfaces , 1969 .

[40]  T. Jóhannesson The response of two Icelandic glaciers to climatic warming computed with a degree-day glacier mass-balance model coupled to a dynamic glacier model , 1997, Journal of Glaciology.

[41]  D. Scott Munro,et al.  Visible and near-infrared reflectivity during the ablation period on Peyto Glacier, Alberta, Canada , 1996, Journal of Glaciology.

[42]  Melvin J. Dubnick Army Corps of Engineers , 1998 .

[43]  Dennis P. Lettenmaier,et al.  EFFECTS OF CLIMATE CHANGE ON HYDROLOGY AND WATER RESOURCES IN THE COLUMBIA RIVER BASIN 1 , 1999 .

[44]  Johannes Oerlemans,et al.  Model study of the spatial distribution of the energy and mass balance of Morteratschgletscher, Switzerland , 2002, Journal of Glaciology.

[45]  Wouter H. Knap,et al.  Elevational changes in meteorological variables along a midlatitude glacier during summer , 1997 .

[46]  W. Ambach Nomographs for the determination of meltwater from snow- and ice surfaces , 1986 .

[47]  R. Hock A distributed temperature-index ice- and snowmelt model including potential direct solar radiation , 1999, Journal of Glaciology.

[48]  R. Hock Modelling of glacier melt and discharge , 1998 .

[49]  Keith Richards,et al.  AN INTEGRATED APPROACH TO MODELLING HYDROLOGY AND WATER QUALITY IN GLACIERIZED CATCHMENTS , 1996 .

[50]  I. Willis Intra-annual variations in glacier motion: a review , 1995 .

[51]  B. Brock,et al.  Effect of snowpack removal on energy balance, melt and runoff in a small supraglacial catchment , 2002 .

[52]  William P. Kustas,et al.  A simple energy budget algorithm for the snowmelt runoff model. , 1994 .

[53]  Javier G. Corripio,et al.  Vectorial algebra algorithms for calculating terrain parameters from DEMs and solar radiation modelling in mountainous terrain , 2003, Int. J. Geogr. Inf. Sci..

[54]  W. Greuell,et al.  Variations with elevation in the surface energy balance on the Pasterze (Austria) , 2001 .

[55]  Keith Richards,et al.  A distributed surface energy-balance model for a small valley glacier. I. Development and testing for Haut Glacier d'Arolla, Valais, Switzerland , 1996 .

[56]  E. J. Klok,et al.  Distributed hydrological modelling of a heavily glaciated Alpine river basin , 2001 .