A GIS tool for automatic calculation of glacier equilibrium-line altitudes

A toolbox for the automated calculation of glacier equilibrium-line altitudes (ELAs) using the Accumulation Area Ratio, Area-Altitude Balance Ratio, Area-Altitude and Kurowski methods is presented. These are the most commonly-used methods of ELA calculation in palaeo-glacier reconstructions. The toolbox has been coded in Python and runs in ArcGIS requiring only the reconstructed surface of the palaeo-glacier (a DEM) as input. Through fast and automatic calculation this toolbox simplifies the process of ELA determination and can successfully work both for a single glacier and for large datasets of multiple glaciers. We describe Equilibrium Line Altitude calculation methods for palaeoglaciers.We examine suitability of each method for different glacier types.We present a toolbox for automatic ELA calculation on AAR and AABR methods.Toolbox is coded in Python and runs in ArcGIS.Toolbox use and operation are described.

[1]  R. Braithwaite,et al.  Calculation of degree-days for glacier-climate research , 1985 .

[2]  J. Andrews,et al.  The Use of Hypsometry to Indicate Long-Term Stability and Response of Valley Glaciers to Changes in Mass Transfer , 1984, Journal of Glaciology.

[3]  J. F. Nye,et al.  The Mechanics of Glacier Flow , 1952, Journal of Glaciology.

[4]  D. Sutherland Modern glacier characteristics as a basis for inferring former climates with particular reference to the Loch Lomond Stadial , 1984 .

[5]  P. Hughes Loch Lomond Stadial (Younger Dryas) glaciers and climate in Wales , 2009 .

[6]  Douglas I. Benn,et al.  Mass balance and equilibrium-line altitudes of glaciers in high-mountain environments , 2000 .

[7]  P. Gibbard,et al.  Middle Pleistocene cold stage climates in the Mediterranean: New evidence from the glacial record , 2007 .

[8]  P. Hughes Loch Lomond Stadial glaciers in the Aran and Arenig Mountains, North Wales, Great Britain , 2002 .

[9]  S. Dahl,et al.  Lateglacial and early Holocene palaeoclimatic reconstruction based on glacier fluctuations and equilibrium‐line altitudes at northern Folgefonna, Hardanger, western Norway , 2005 .

[10]  P. Hughes,et al.  Pleistocene ice caps on the coastal mountains of the Adriatic Sea , 2010 .

[11]  G. Kaser,et al.  Alpine Younger Dryas glaciers as palaeo-precipitation gauges , 2000, Annals of Glaciology.

[12]  E. Leonard LATE PLEISTOCENE EQUILIBRIUM-LINE ALTITJDES AND MODERN SNOW ACCUMULATION PATTERNS, SAN JUAN MOUNTAINS, COLORADO, U.S.A. , 1984 .

[13]  H. Ahlmann Glaciological Research on the North Atlantic Coasts , 1948 .

[14]  C. Ballantyne The Loch Lomond readvance on the Island of Skye, Scotland : Glacier reconstruction and paleoclimatic implications. , 1989 .

[15]  E. S. Cañadas,et al.  The AAR method (Accumulation Area Ratio) for palaeo-ELAs reconstruction: metholodolical analysis and application in the Valdecebollas Massif (Cantabrian Mountains) , 2013 .

[16]  B. Rea Defining modern day Area-Altitude Balance Ratios (AABRs) and their use in glacier-climate reconstructions , 2009 .

[17]  P. Hughes Twenty-first Century Glaciers and Climate in the Prokletije Mountains, Albania , 2009 .

[18]  S. Raper,et al.  Glaciological conditions in seven contrasting regions estimated with the degree-day model , 2007, Annals of Glaciology.

[19]  J. M. Gray,et al.  The last glaciers (Loch Lomond Advance) in Snowdonia, N. Wales , 2007 .

[20]  R. Pellitero Evolución finicuaternaria del glaciarismo en el macizo de Fuentes Carrionas (Cordillera Cantábrica), propuesta cronológica y paleoambiental , 2013 .

[21]  H. Ahlmann Le Niveau De Glaciation Comme Fonction De L'accumulation D'humidité Sous Forme Solide , 1924 .

[22]  M. Spagnolo,et al.  Testing the efficacy of the glacial buzzsaw: insights from the Sredinny Mountains, Kamchatka , 2014 .

[23]  W. B. Whalley,et al.  Plateau icefields as contributing areas to valley glaciers and the potential impact on reconstructed ELAs: a case study from the Lyngen Alps, North Norway , 1999, Annals of Glaciology.

[24]  H. Osmaston,et al.  Estimates of glacier equilibrium line altitudes by the Area×Altitude, the Area×Altitude Balance Ratio and the Area×Altitude Balance Index methods and their validation , 2005 .

[25]  R. Braithwaite,et al.  On the parameterization of glacier equilibrium line altitude. , 1980 .

[26]  R. Braithwaite Temperature and precipitation climate at the equilibrium-line altitude of glaciers expressed by the degree-day factor for melting snow , 2008, Journal of Glaciology.

[27]  J. B. Sissons Palaeoclimatic inferences from former glaciers in Scotland and the Lake District , 1979, Nature.

[28]  M. Kotlyakov,et al.  Investigations of the hydrological conditions of alpine regions by glaciological methods , 1982 .

[29]  S. Lukas Early-Holocene glacier fluctuations in Krundalen, south central Norway: palaeoglacier dynamics and palaeoclimate , 2007 .

[30]  Z. Kern,et al.  Size specific steady-state accumulation-area ratio: an improvement for equilibrium-line estimation of small palaeoglaciers , 2010 .

[31]  David J. A. Evans,et al.  Quantifying climate and glacier mass balance in north Norway during the Younger Dryas , 2007 .

[32]  Nicholas R. J. Hulton,et al.  An ExcelTM spreadsheet program for reconstructing the surface profile of former mountain glaciers and ice caps , 2010, Comput. Geosci..

[33]  T. Bradwell,et al.  Reconstruction of a Lateglacial (Younger Dryas) mountain ice field in Sutherland, northwestern Scotland, and its palaeoclimatic implications , 2010 .

[34]  L. Bonacina Glaciological Research on the North Atlantic Coasts Hans W son Ahlmann. R.G.S. Research Series: No. 1. London: Royal Geographical Society, 1948, 83pages. 7s. 6d. , 1949 .

[35]  B. Nagy,et al.  Determining steady-state accumulation-area ratios of outlet glaciers for application of outlets in climate reconstructions , 2013 .

[36]  F. Loewe CONSIDERATIONS ON THE ORIGIN OF THE QUATERNARY ICE SHEET OF NORTH AMERICA , 1971 .

[37]  C. Ballantyne The Loch Lomond Readvance on the Isle of Mull, Scotland: glacier reconstruction and palaeoclimatic implications , 2002 .

[38]  S. Raper,et al.  Estimating equilibrium-line altitude (ELA) from glacier inventory data , 2009, Annals of Glaciology.

[39]  S. B. Nielsen,et al.  Glacial effects limiting mountain height , 2009, Nature.

[40]  S. C. Porter Snowline depression in the tropics during the Last Glaciation , 2000 .

[41]  N. Stansell,et al.  Last glacial maximum equilibrium-line altitude and paleo-temperature reconstructions for the Cordillera de Mérida, Venezuelan Andes , 2007, Quaternary Research.

[42]  A. Gillespie,et al.  Debris-Covered Glaciers in the Sierra Nevada, California, and Their Implications for Snowline Reconstructions , 1994, Quaternary Research.

[43]  E. Cañadas EL MÉTODO AAR PARA LA DETERMINACIÓN DE PALEO-ELAs: ANÁLISIS METODOLÓGICO Y APLICACIÓN EN EL MACIZO DE VALDECEBOLLAS (CORDILLERA CANTÁBRICA) , 2004 .

[44]  C. Ballantyne,et al.  Palaeoclimatic reconstruction from Loch Lomond Readvance glaciers in the West Drumochter Hills, Scotland , 2005 .

[45]  A. Ohmura,et al.  Climate at the Equilibrium Line of Glaciers , 1992, Journal of Glaciology.