Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades
Data on thickness and area of 16 glaciers on the Nordenskiöld Land (Svalbard) were obtained in 1999 and 2010–2013. These data were used to determine volume of the glaciers and to establish statistical local relationship between the volume V and the area A (V–A scaling) in the form of the power funct...
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2019
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Online Access: | https://ice-snow.igras.ru/jour/article/view/538 https://doi.org/10.15356/2076-6734-2019-1-23-38 |
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ftjias:oai:oai.ice.elpub.ru:article/538 |
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record_format |
openpolar |
institution |
Open Polar |
collection |
Ice and Snow (E-Journal) |
op_collection_id |
ftjias |
language |
Russian |
topic |
glaciers;ground-based radio-echo sounding;ice thickness and volume;Svalbard ледники;наземное радиозондирование;толщина и объём льда;Шпицберген |
spellingShingle |
glaciers;ground-based radio-echo sounding;ice thickness and volume;Svalbard ледники;наземное радиозондирование;толщина и объём льда;Шпицберген I. Lavrentiev I. A. Glazovsky F. Yu. Macheret Ya. V. Matskovsky V. A. Muravyev Ya. И. Лаврентьев И. А. Глазовский Ф. Ю. Мачерет Я. В. Мацковский В. А. Муравьев Я. Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
topic_facet |
glaciers;ground-based radio-echo sounding;ice thickness and volume;Svalbard ледники;наземное радиозондирование;толщина и объём льда;Шпицберген |
description |
Data on thickness and area of 16 glaciers on the Nordenskiöld Land (Svalbard) were obtained in 1999 and 2010–2013. These data were used to determine volume of the glaciers and to establish statistical local relationship between the volume V and the area A (V–A scaling) in the form of the power function V = cAγ, and then to calculate the total ice volume of all 202 glaciers in this area and its changes during the period since 1936 to 2002–2008. The total area of 16 glaciers was 129.9±0.35 km2, 14 of which had areas from 0.2 to 8.1 km2. The two largest ones, the Fridtjof and the West Grenfjord, had the areas 17.5 and 47.3 km2, respectively, and thus occupied about 50% (64.8 km2) of the total area of 16 glaciers. These two glaciers account for 67% of the total measured volume (10,034 km3) of the 16 glaciers. A nonlinear least-squares method was used to estimate ice reserves in all 202 glaciers from data on the volume and area of 16 glaciers. The relation between volume V and area A of the glaciers (V–A scaling) was obtained as the ratio V = 0.03637A1,283 with 95%‑th confidence intervals of the coefficients с and γ, (0.02303–0,4971) and (1.184–1.381), respectively. This made possible to calculate total volume of 202 glaciers as of 2002-2008 state using data from RGI v.6.0, and that prove to be equal to 32.89 (16.75–56.63) km3. To verify this estimation, we applied the bootstrapping method for chosen 43 glaciers and calculated the volume by means of sequential use of data for large and smaller glaciers. According to this estimate, the total volume of 202 glaciers amounted to 30.34 km3 with a 95% confidence interval of 15.42–44.27 km3, that turned out to be slightly smaller than the volume calculated by nonlinear least squares method basing on measurements on 16 glaciers. Despite the large error (on the average, from −49% to +84%) in estimating the total volume of 202 glaciers in the Nordenskiöld Land, the data obtained were used for assessment of relative changes in the total volume of glaciers in this area over ... |
format |
Article in Journal/Newspaper |
author |
I. Lavrentiev I. A. Glazovsky F. Yu. Macheret Ya. V. Matskovsky V. A. Muravyev Ya. И. Лаврентьев И. А. Глазовский Ф. Ю. Мачерет Я. В. Мацковский В. А. Муравьев Я. |
author_facet |
I. Lavrentiev I. A. Glazovsky F. Yu. Macheret Ya. V. Matskovsky V. A. Muravyev Ya. И. Лаврентьев И. А. Глазовский Ф. Ю. Мачерет Я. В. Мацковский В. А. Муравьев Я. |
author_sort |
I. Lavrentiev I. |
title |
Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
title_short |
Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
title_full |
Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
title_fullStr |
Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
title_full_unstemmed |
Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades |
title_sort |
reserve of ice in glaciers on the nordenskiöld land, spitsbergen, and their changes over the last decades |
publisher |
IGRAS |
publishDate |
2019 |
url |
https://ice-snow.igras.ru/jour/article/view/538 https://doi.org/10.15356/2076-6734-2019-1-23-38 |
long_lat |
ENVELOPE(-56.717,-56.717,-63.567,-63.567) ENVELOPE(15.000,15.000,77.833,77.833) |
geographic |
Svalbard Fridtjof Nordenskiöld Land |
geographic_facet |
Svalbard Fridtjof Nordenskiöld Land |
genre |
Annals of Glaciology Antarctic and Alpine Research Arctic Nordenskiöld Land Svalbard The Cryosphere Spitsbergen |
genre_facet |
Annals of Glaciology Antarctic and Alpine Research Arctic Nordenskiöld Land Svalbard The Cryosphere Spitsbergen |
op_source |
Ice and Snow; Том 59, № 1 (2019); 23-38 Лёд и Снег; Том 59, № 1 (2019); 23-38 2412-3765 2076-6734 10.15356/2076-6734-2019-1 |
op_relation |
https://ice-snow.igras.ru/jour/article/view/538/299 Cogley G. The future of the world’s glaciers / Еds. A. Henderson-Sellers and K. McGuffie // The future of the world’s climate. Elsevier, Waltham, MA, 2012. P. 97–222. Stocker T.F., Qin G.-K. D., Plattner M., Tignor S.K., Allen J., Boschung A., Nauels Y., Xia V. Bex, Midgley P.M. (eds.). Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge and New York, NY, USA, 2013. 1535 p. Radić V., Bliss A., Beedlow A.C., Hock R., Miles E., Cogley J.G. Regional and global projections of twenty-first century glacier mass changes in response to climate scenarios from global climate models // Climate Dynamics. 2014. V. 42. № 1–2. P. 37–58. doi: 0.1007/s00382-013-1719-7. Shannon S., Robin S., Wiltshire A., Payne T., Huss M., Betts R., Caesar J., Koutroulis A., Jones D., Harrison S. Global glacier volume projections under high-end climate change scenarios // The Cryosphere. Discussion. 2018. doi:10.5194/tc-2018-35. Bahr D.B. Global distributions of glacier properties: A stochastic scaling paradigm // Water Resources Research. 1997. V. 33. Is. 7. P. 1669–1679. doi:10.1029/97WR00824. Bahr D.B., Meier M.F., Peckham S. The physical basis of glacier volume-area scaling // Journ. of Geophys. Research. 1997. V. 102. Is. B9. P. 20355–20362. doi:10.1029/97JB01696. Bahr D., Pfeffer W., Kaser G. A review of volume-area scaling of glaciers // Reviews of Geophysics. 2015 V. 53. P. 95–140. doi: 615 10.1002/2014RG000470. Farinotti D., Brinkerhoff D.J., Clarke G.K C., Fürst J.J., Frey H., Gantayat P., Gillet-Chaulet F., Girard C., Huss M., Leclercq P.W., Linsbauer A., Machguth H., Martin C., Maussion F., Morlighem M., Mosbeux C., Pandit A., Portmann A., Rabatel A., Ramsankaran R., Reerink T.J., Sanchez O., Stentoft P.A., Singh Kumari S., van Pelt W.J.J., Anderson B., Benham T., Binder D., Dowdeswell J.A., Fischer A., Helfricht K., Kutuzov S., Lavrentiev I., McNabb R., Gudmundsson G.H., Li H., Andreassen L.M. How accurate are estimates of glacier ice thickness? Results from ITMIX, the Ice Thickness Models Intercomparison experiment // The Cryosphere. 2017. V. 11. Is. 2. P. 949–970. doi:10.5194/tc-11-949-2017. Fürst J.J., Gillet-Chaulet F., Benham T.J., Dowdeswell J.A., Grabiec M., Navarro F., Pettersson R., Moholdt G., Nuth C., Sass B., Aas K., Fettweis X., Lang C., Seehaus T., Braun M. Application of a two-step approach for mapping ice thickness to various glacier types on Svalbard // The Cryosphere. 2017. V. 11. Is. 5. P. 2003–2032. doi:10.5194/tc-11-2003-2017. Pfeffer W.T., Arendt A.A, Bliss A., Bolch T., Cogley J.G., Gardner A. Alex S., Hagen J.‑O., Hock R., Kaser G., Kienholz C., Miles E.S., Moholdt G., Mölg N., Paul F., Radiĉ Rastner P. Raup B.H., Rich J., Sharp Martin J. and The Randolph Consortium. The Randolph Glacier Inventory: A globally complete inventory of glaciers // Journ. of Glaciology. 2014. V. 60. № 221. P. 537–552. doi:10.3189/2014JoG13J176. Martin-Español A., Navarro F.J., Otero J., Lapazaran J.J., Błaszczyk M. Estimate of the total volume of Svalbard glaciers, and their potential contribution to sea-level rise, using new regionally based scaling relationships // Journ. of Glaciology. 2015. V. 61. № 225. P. 29–41. doi:10.3189/2015JoG14J159. Grinsted A. An estimate of global glacier volume // The Cryosphere. 2013. № 7. P. 141–151. doi:10.5194/tc-7-141-2013. Мачерет Ю.Я., Кутузов С.С., Мацковский В.В., Лаврентьев И.И. Об оценке объёма льда горных ледников // Лёд и Снег. 2013. № 1 (121). С. 5–15. doi:10.15356/2076-6734-2013-1-5-15. Martín-Español A., Vasilenko E.V., Navarro F.J., Otero J., Lapazaran J.J., Lavrentiev I.I., Macheret Y.Y., Machío F. Radio-echo sounding and ice volume estimates of western Nordenskiöld Land glaciers, Svalbard // Annals of Glaciology. 2013. V. 54. Is. 64. P. 211–217. doi:10.3189/2013AoG64A109. Navarro F.J., Lapazaran J., Martín-Español A., Otero J. Ground-penetrating radar studies in Svalbard aimed to the calculation of the ice volume of its glaciers // Cuadernos de Investigación Geográfica. 2016. V. 42. № 2. P. 399–414. doi:10.18172/cig.2929. RGI Consortium. Randolph Glacier Inventory – A Dataset of Global Glacier Outlines: Version 6.0: Technical Report, Global Land Ice Measurements from Space. Colorado, USA, 2017. Digital Media. doi:10.7265/N5-RGI-60. 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On the errors involved in ice-thickness estimates III: Error in volume // Journ. of Glaciology. 2016. V. 62. Is. 236. P. 1030–1036. doi:10.1017/jog.2016.95. Guidelines for the compilation of glacier inventory data from digital sources / Еd. by F. Paul [Electronic resource]. http://glims.org. Farinotti D., Huss M. An upper-bound estimate for the accuracy of glacier volume–area scaling // The Cryosphere. 2013. V. 7. Is. 6. P. 1707–1720. doi:10.5194/tc-7-1707-2013. Macheret Yu.Ya., Zhuravlev A.B. Radio Echo-Sounding of Svalbard Glaciers // Journ. of Glaciology. 1982. V. 28. Is. 99. P. 295–314. doi:10.3189/S0022143000011643. Мачерет Ю.Я., Журавлев А.Б., Боброва Л.И. Толщина льда, подлёдный рельеф и объём ледников Свальбарда по данным радиозондирования // МГИ. 1984. № 51. С. 49–63. Wu N.F.L. Jackknife, bootstrap and other resampling methods in regression analysis (with discussions) // Annals of Statistics. 1986. V. 14. P. 1261–1350. https://ice-snow.igras.ru/jour/article/view/538 doi:10.15356/2076-6734-2019-1-23-38 |
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ftjias:oai:oai.ice.elpub.ru:article/538 2023-05-15T13:29:51+02:00 Reserve of ice in glaciers on the Nordenskiöld Land, Spitsbergen, and their changes over the last decades Запасы льда в ледниках на Земле Норденшельда (Шпицберген) и их изменения за последние десятилетия I. Lavrentiev I. A. Glazovsky F. Yu. Macheret Ya. V. Matskovsky V. A. Muravyev Ya. И. Лаврентьев И. А. Глазовский Ф. Ю. Мачерет Я. В. Мацковский В. А. Муравьев Я. 2019-03-20 application/pdf https://ice-snow.igras.ru/jour/article/view/538 https://doi.org/10.15356/2076-6734-2019-1-23-38 rus rus IGRAS https://ice-snow.igras.ru/jour/article/view/538/299 Cogley G. The future of the world’s glaciers / Еds. A. Henderson-Sellers and K. McGuffie // The future of the world’s climate. Elsevier, Waltham, MA, 2012. P. 97–222. Stocker T.F., Qin G.-K. D., Plattner M., Tignor S.K., Allen J., Boschung A., Nauels Y., Xia V. Bex, Midgley P.M. (eds.). Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge and New York, NY, USA, 2013. 1535 p. Radić V., Bliss A., Beedlow A.C., Hock R., Miles E., Cogley J.G. Regional and global projections of twenty-first century glacier mass changes in response to climate scenarios from global climate models // Climate Dynamics. 2014. V. 42. № 1–2. P. 37–58. doi: 0.1007/s00382-013-1719-7. Shannon S., Robin S., Wiltshire A., Payne T., Huss M., Betts R., Caesar J., Koutroulis A., Jones D., Harrison S. Global glacier volume projections under high-end climate change scenarios // The Cryosphere. Discussion. 2018. doi:10.5194/tc-2018-35. Bahr D.B. Global distributions of glacier properties: A stochastic scaling paradigm // Water Resources Research. 1997. V. 33. Is. 7. P. 1669–1679. doi:10.1029/97WR00824. Bahr D.B., Meier M.F., Peckham S. The physical basis of glacier volume-area scaling // Journ. of Geophys. Research. 1997. V. 102. Is. B9. P. 20355–20362. doi:10.1029/97JB01696. Bahr D., Pfeffer W., Kaser G. A review of volume-area scaling of glaciers // Reviews of Geophysics. 2015 V. 53. P. 95–140. doi: 615 10.1002/2014RG000470. Farinotti D., Brinkerhoff D.J., Clarke G.K C., Fürst J.J., Frey H., Gantayat P., Gillet-Chaulet F., Girard C., Huss M., Leclercq P.W., Linsbauer A., Machguth H., Martin C., Maussion F., Morlighem M., Mosbeux C., Pandit A., Portmann A., Rabatel A., Ramsankaran R., Reerink T.J., Sanchez O., Stentoft P.A., Singh Kumari S., van Pelt W.J.J., Anderson B., Benham T., Binder D., Dowdeswell J.A., Fischer A., Helfricht K., Kutuzov S., Lavrentiev I., McNabb R., Gudmundsson G.H., Li H., Andreassen L.M. How accurate are estimates of glacier ice thickness? Results from ITMIX, the Ice Thickness Models Intercomparison experiment // The Cryosphere. 2017. V. 11. Is. 2. P. 949–970. doi:10.5194/tc-11-949-2017. Fürst J.J., Gillet-Chaulet F., Benham T.J., Dowdeswell J.A., Grabiec M., Navarro F., Pettersson R., Moholdt G., Nuth C., Sass B., Aas K., Fettweis X., Lang C., Seehaus T., Braun M. Application of a two-step approach for mapping ice thickness to various glacier types on Svalbard // The Cryosphere. 2017. V. 11. Is. 5. P. 2003–2032. doi:10.5194/tc-11-2003-2017. Pfeffer W.T., Arendt A.A, Bliss A., Bolch T., Cogley J.G., Gardner A. Alex S., Hagen J.‑O., Hock R., Kaser G., Kienholz C., Miles E.S., Moholdt G., Mölg N., Paul F., Radiĉ Rastner P. Raup B.H., Rich J., Sharp Martin J. and The Randolph Consortium. The Randolph Glacier Inventory: A globally complete inventory of glaciers // Journ. of Glaciology. 2014. V. 60. № 221. P. 537–552. doi:10.3189/2014JoG13J176. Martin-Español A., Navarro F.J., Otero J., Lapazaran J.J., Błaszczyk M. Estimate of the total volume of Svalbard glaciers, and their potential contribution to sea-level rise, using new regionally based scaling relationships // Journ. of Glaciology. 2015. V. 61. № 225. P. 29–41. doi:10.3189/2015JoG14J159. Grinsted A. An estimate of global glacier volume // The Cryosphere. 2013. № 7. P. 141–151. doi:10.5194/tc-7-141-2013. Мачерет Ю.Я., Кутузов С.С., Мацковский В.В., Лаврентьев И.И. Об оценке объёма льда горных ледников // Лёд и Снег. 2013. № 1 (121). С. 5–15. doi:10.15356/2076-6734-2013-1-5-15. Martín-Español A., Vasilenko E.V., Navarro F.J., Otero J., Lapazaran J.J., Lavrentiev I.I., Macheret Y.Y., Machío F. Radio-echo sounding and ice volume estimates of western Nordenskiöld Land glaciers, Svalbard // Annals of Glaciology. 2013. V. 54. Is. 64. P. 211–217. doi:10.3189/2013AoG64A109. Navarro F.J., Lapazaran J., Martín-Español A., Otero J. Ground-penetrating radar studies in Svalbard aimed to the calculation of the ice volume of its glaciers // Cuadernos de Investigación Geográfica. 2016. V. 42. № 2. P. 399–414. doi:10.18172/cig.2929. RGI Consortium. Randolph Glacier Inventory – A Dataset of Global Glacier Outlines: Version 6.0: Technical Report, Global Land Ice Measurements from Space. Colorado, USA, 2017. Digital Media. doi:10.7265/N5-RGI-60. Nuth C., Kohler J., König M., von Deschwanden A., Hagen J.O., Kääb A., Moholdt G., Pettersson R. Decadal changes from a multi-temporal glacier inventory of Svalbard // The Cryosphere. 2013. V. 7. Is. 5. P. 1603–1621. doi:10.5194/tc-7-1603-2013. König M., Kohler J., Nuth C. Glacier Area Outlines – Svalbard [Data set]. Norwegian Polar Institute, 2013. doi:10.21334/npolar.2013.89f430f8. Ерасов Н.В. Метод определения объема горных ледников // МГИ. 1968. № 14. С. 307–308. Chen J., Ohmura A. Estimation of Alpine glacier water resources and their change since the 1870s // IAHS Publ. 1990. № 193. P. 127–135. Айвазян С.А., Енюков И.С., Мешалкин Л.Д. Прикладная статистика. Исследование зависимостей. М.: Финансы и статистика, 1985. 488 с. Murray T., James T.D., Macheret Yu.Ya., Lavrentiev I.I., Glazovsky A.F., Sykes H. Geometric Changes in a tidewater glacier in Svalbard // Arctic, Antarctic and Alpine Research. 2012. V. 44. № 3. P. 359–367. doi:10.1657/1938-4246-44.3.359. Василенко Е.В., Глазовский А.Ф., Лаврентьев И.И., Мачерет Ю.Я. Изменение гидротермической структуры ледников Восточный Грёнфьорд и Фритьоф на Шпицбергене // Лёд и Снег. 2014. № 1 (125). С. 5–19. doi:10.15356/2076-6734-2014-1-5-19. Кульницкий Л.М., Гофман П.А., Токарев М.Ю. Математическая обработка данных георадиолокации и система RADEXPRO // Разведка и охрана недр. 2001. № 3. С. 6–11. Lapazaran J.J. Otero J., Martín-Español A., Navarro F.J. 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CC-BY Ice and Snow; Том 59, № 1 (2019); 23-38 Лёд и Снег; Том 59, № 1 (2019); 23-38 2412-3765 2076-6734 10.15356/2076-6734-2019-1 glaciers;ground-based radio-echo sounding;ice thickness and volume;Svalbard ледники;наземное радиозондирование;толщина и объём льда;Шпицберген info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2019 ftjias https://doi.org/10.15356/2076-6734-2019-1-23-38 https://doi.org/10.15356/2076-6734-2019-1 https://doi.org/10.5194/tc-2018-35 https://doi.org/10.1029/97WR00824 https://doi.org/10.1029/97JB01696 https://doi.org/10.5194/tc-11-2003-2017 https://do 2022-12-20T13:29:52Z Data on thickness and area of 16 glaciers on the Nordenskiöld Land (Svalbard) were obtained in 1999 and 2010–2013. These data were used to determine volume of the glaciers and to establish statistical local relationship between the volume V and the area A (V–A scaling) in the form of the power function V = cAγ, and then to calculate the total ice volume of all 202 glaciers in this area and its changes during the period since 1936 to 2002–2008. The total area of 16 glaciers was 129.9±0.35 km2, 14 of which had areas from 0.2 to 8.1 km2. The two largest ones, the Fridtjof and the West Grenfjord, had the areas 17.5 and 47.3 km2, respectively, and thus occupied about 50% (64.8 km2) of the total area of 16 glaciers. These two glaciers account for 67% of the total measured volume (10,034 km3) of the 16 glaciers. A nonlinear least-squares method was used to estimate ice reserves in all 202 glaciers from data on the volume and area of 16 glaciers. The relation between volume V and area A of the glaciers (V–A scaling) was obtained as the ratio V = 0.03637A1,283 with 95%‑th confidence intervals of the coefficients с and γ, (0.02303–0,4971) and (1.184–1.381), respectively. This made possible to calculate total volume of 202 glaciers as of 2002-2008 state using data from RGI v.6.0, and that prove to be equal to 32.89 (16.75–56.63) km3. To verify this estimation, we applied the bootstrapping method for chosen 43 glaciers and calculated the volume by means of sequential use of data for large and smaller glaciers. According to this estimate, the total volume of 202 glaciers amounted to 30.34 km3 with a 95% confidence interval of 15.42–44.27 km3, that turned out to be slightly smaller than the volume calculated by nonlinear least squares method basing on measurements on 16 glaciers. Despite the large error (on the average, from −49% to +84%) in estimating the total volume of 202 glaciers in the Nordenskiöld Land, the data obtained were used for assessment of relative changes in the total volume of glaciers in this area over ... Article in Journal/Newspaper Annals of Glaciology Antarctic and Alpine Research Arctic Nordenskiöld Land Svalbard The Cryosphere Spitsbergen Ice and Snow (E-Journal) Svalbard Fridtjof ENVELOPE(-56.717,-56.717,-63.567,-63.567) Nordenskiöld Land ENVELOPE(15.000,15.000,77.833,77.833) Ice and Snow 59 1 23 38 |