An estimate of global glacier volume

Abstract. I assess the feasibility of using multivariate scaling relationships to estimate glacier volume from glacier inventory data. Scaling laws are calibrated against volume observations optimized for the specific purpose of estimating total global glacier ice volume. I find that adjustments for continentality and elevation range improve skill of area–volume scaling. These scaling relationships are applied to each record in the Randolph Glacier Inventory, which is the first globally complete inventory of glaciers and ice caps. I estimate that the total volume of all glaciers in the world is 0.35 p 0.07 m sea level equivalent, including ice sheet peripheral glaciers. This is substantially less than a recent state-of-the-art estimate. Area–volume scaling bias issues for large ice masses, and incomplete inventory data are offered as explanations for the difference.

[1]  Matthias Huss,et al.  Distributed ice thickness and volume of all glaciers around the globe , 2012 .

[2]  Aslak Grinsted,et al.  Semiempirical and process‐based global sea level projections , 2012 .

[3]  S. Marshall,et al.  Glacier volume‐area relation for high‐order mechanics and transient glacier states , 2012 .

[4]  V. Radic,et al.  Significant contribution to total mass from very small glaciers , 2012 .

[5]  Riccardo E. M. Riva,et al.  Towards regional projections of twenty-first century sea-level change based on IPCC SRES scenarios , 2012, Climate Dynamics.

[6]  J. Cogley,et al.  Estimating the Glacier Contribution to Sea-Level Rise for the Period 1800–2005 , 2011 .

[7]  R. Hock,et al.  Regional and global volumes of glaciers derived from statistical upscaling of glacier inventory data , 2010 .

[8]  Sylvain Arlot,et al.  A survey of cross-validation procedures for model selection , 2009, 0907.4728.

[9]  E. Berthier,et al.  Neural Networks Applied to Estimating Subglacial Topography and Glacier Volume , 2009 .

[10]  R. Hock,et al.  Volume–area scaling vs flowline modelling in glacier volume projections , 2007, Annals of Glaciology.

[11]  S. Raper,et al.  Reply to comment by M. F. Meier et al. on “The potential for sea level rise: New estimates from glacier and ice cap area and volume distributions” , 2005 .

[12]  W. T. Pfeffer,et al.  Comment on “The potential for sea level rise: New estimates from glacier and ice cap area and volume distribution” by S. C. B. Raper and R. J. Braithwaite , 2005 .

[13]  J. Oerlemans.  Extracting a Climate Signal from 169 Glacier Records , 2005, Science.

[14]  Sarah C. B. Raper,et al.  The potential for sea level rise: New estimates from glacier and ice cap area and volume distributions , 2005 .

[15]  Julian A. Dowdeswell,et al.  Form and flow of the Devon Island Ice Cap, Canadian Arctic , 2004 .

[16]  J. Mitrovica,et al.  On post-glacial sea level: I. General theory , 2003 .

[17]  M. Wild,et al.  Modelling the response of glaciers to climate change by applying volume-area scaling in combination with a high resolution GCM , 2001 .

[18]  S. Peckham,et al.  The physical basis of glacier volume-area scaling , 1997 .

[19]  D. Bahr.  Global distributions of glacier properties: A stochastic scaling paradigm , 1997 .

[20]  Brian S. Cade,et al.  PERMUTATION TESTS FOR LEAST ABSOLUTE DEVIATION REGRESSION , 1996 .

[21]  R. Armstrong,et al.  The Physics of Glaciers , 1981 .

[22]  N. Glasser,et al.  Randolph Glacier Inventory [v3.2]: A Dataset of Global Glacier Outlines. Global Land Ice Measurements from Space , 2013 .

[23]  Roger Wheate,et al.  Randolph Glacier Inventory [v2.0]: A Dataset of Global Glacier Outlines , 2012 .

[24]  G. Cogley.  The Future of the World's Glaciers , 2012 .

[25]  A. Bauder,et al.  A method to estimate the ice volume and ice-thickness distribution of alpine glaciers , 2009 .

[26]  Li Gang,et al.  Glacier changes since the Little Ice Age maximum in the western Qilian Shan, northwest China, and consequences of glacier runoff for water supply , 2003, Journal of Glaciology.

[27]  M. Hoelzle,et al.  Application of inventory data for estimating characteristics of and regional climate-change effects on mountain glaciers: a pilot study with the European Alps , 1995, Annals of Glaciology.

[28]  A. Ohmura,et al.  Estimation of Alpine glacier water resources and their change since the 1870s , 1990 .

[29]  C. Driedger,et al.  Ice Volumes on Cascade Volcanoes: Mount Rainier, Mount Hood, Three Sisters, and Mount Shasta , 1986 .

[30]  J. Dowdeswell,et al.  Digital Mapping of the Nordaustlandet Ice Caps from Airborne Geophysical Investigations , 1986, Annals of Glaciology.

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

[32]  Y. Macheret,et al.  Radio Echo-Sounding of Svalbard Glaciers , 1982, Journal of Glaciology.

[33]  V. Kotlyakov,et al.  Studies of the Antarctic and Present-Day Concepts of Global Glaciation , 1982, Annals of Glaciology.