Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India)
<p>The glacier-wide mass balance (MB) series on Chhota Shigri Glacier has been reanalysed by combining the traditional MB reanalysis framework and a nonlinear MB model. The nonlinear model is preferred over the traditional glaciological method to compute the glacier-wide MBs, as the former can...
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Copernicus Publications
2024-12-01
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| Series: | The Cryosphere |
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| author | M. F. Azam C. Vincent S. Srivastava S. Srivastava E. Berthier P. Wagnon H. Kaushik Md. A. Hussain M. K. Munda A. Mandal A. Ramanathan |
| author_facet | M. F. Azam C. Vincent S. Srivastava S. Srivastava E. Berthier P. Wagnon H. Kaushik Md. A. Hussain M. K. Munda A. Mandal A. Ramanathan |
| author_sort | M. F. Azam |
| collection | DOAJ |
| description | <p>The glacier-wide mass balance (MB) series on Chhota Shigri Glacier has been reanalysed by combining the traditional MB reanalysis framework and a nonlinear MB model. The nonlinear model is preferred over the traditional glaciological method to compute the glacier-wide MBs, as the former can capture the spatiotemporal variability in point MBs from a heterogeneous in situ point MB network. Further, the nonlinear model is also used to detect erroneous measurements from the point MB observations over 2002–2023. ASTER and Pléiades stereo imagery show limited areal changes but negative mass balances of <span class="inline-formula">−</span>0.38 <span class="inline-formula">±</span> 0.05 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M3" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace linebreak="nobreak" width="0.125em"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace width="0.125em" linebreak="nobreak"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="97a5d7c5758f3bc10fc8d635d9789554"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00001.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00001.png"/></svg:svg></span></span> during 2003–2014 and <span class="inline-formula">−</span>0.51 <span class="inline-formula">±</span> 0.06 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M6" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="8e502977d6e1bea2829db3aff1fd2320"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00002.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00002.png"/></svg:svg></span></span> during 2014–2020. The nonlinear model outperforms the traditional glaciological method and agrees better with these geodetic estimates. The reanalysed mean glacier-wide MB over 2002–2023 is <span class="inline-formula">−</span>0.47 <span class="inline-formula">±</span> 0.19 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M9" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="f7c9b5f9cb2bc53e581ce76b45048f22"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00003.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00003.png"/></svg:svg></span></span>, equivalent to a cumulative loss of <span class="inline-formula">−</span>9.81 <span class="inline-formula">±</span> 0.87 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M12" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="32pt" height="8pt" class="svg-formula" dspmath="mathimg" md5hash="25fef67db633bdf487823a453c1c7b7f"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00004.svg" width="32pt" height="8pt" src="tc-18-5653-2024-ie00004.png"/></svg:svg></span></span> Our analysis suggests that the nonlinear model can also be used to complete the MB series if for some years the field observations are poor or unavailable. With this analysis, we revisit the glacier-wide MB series of Chhota Shigri Glacier and provide the most accurate and up-to-date version of this series, the longest continuous ever recorded in the Himalaya. We recommend applying the nonlinear model on all traditional glaciological mass balance series worldwide whenever data are sufficient, especially in the Himalaya, where in situ data are often missing due to access issues.</p> |
| format | Article |
| id | doaj-art-3985e854bf27465fa87f9fd4aece7c94 |
| institution | OA Journals |
| issn | 1994-0416 1994-0424 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | The Cryosphere |
| spelling | doaj-art-3985e854bf27465fa87f9fd4aece7c942025-08-20T02:35:56ZengCopernicus PublicationsThe Cryosphere1994-04161994-04242024-12-01185653567210.5194/tc-18-5653-2024Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India)M. F. Azam0C. Vincent1S. Srivastava2S. Srivastava3E. Berthier4P. Wagnon5H. Kaushik6Md. A. Hussain7M. K. Munda8A. Mandal9A. Ramanathan10Department of Civil Engineering, Indian Institute of Technology Indore, Simrol, 453552, IndiaInstitut des Géosciences de l'Environnement (IGE, UMR 5001), Université Grenoble Alpes, CNRS, IRD, Grenoble-INP, INRAE, 38000 Grenoble, FranceDepartment of Civil Engineering, Indian Institute of Technology Indore, Simrol, 453552, IndiaDepartment of Geography, University of Utah, Salt Lake City, Utah, USAUniversité de Toulouse, LEGOS (CNES/CNRS/IRD/UT3), Toulouse, 31400, FranceInstitut des Géosciences de l'Environnement (IGE, UMR 5001), Université Grenoble Alpes, CNRS, IRD, Grenoble-INP, INRAE, 38000 Grenoble, FranceDepartment of Civil Engineering, Indian Institute of Technology Indore, Simrol, 453552, IndiaDepartment of Civil Engineering, Indian Institute of Technology Indore, Simrol, 453552, IndiaDepartment of Civil Engineering, Indian Institute of Technology Indore, Simrol, 453552, IndiaInterdisciplinary Centre for Water Research, Indian Institute of Science, Bengaluru 560012, IndiaSchool of Environmental Sciences, Jawaharlal Nehru University, New Delhi 110067, India<p>The glacier-wide mass balance (MB) series on Chhota Shigri Glacier has been reanalysed by combining the traditional MB reanalysis framework and a nonlinear MB model. The nonlinear model is preferred over the traditional glaciological method to compute the glacier-wide MBs, as the former can capture the spatiotemporal variability in point MBs from a heterogeneous in situ point MB network. Further, the nonlinear model is also used to detect erroneous measurements from the point MB observations over 2002–2023. ASTER and Pléiades stereo imagery show limited areal changes but negative mass balances of <span class="inline-formula">−</span>0.38 <span class="inline-formula">±</span> 0.05 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M3" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace linebreak="nobreak" width="0.125em"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace width="0.125em" linebreak="nobreak"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="97a5d7c5758f3bc10fc8d635d9789554"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00001.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00001.png"/></svg:svg></span></span> during 2003–2014 and <span class="inline-formula">−</span>0.51 <span class="inline-formula">±</span> 0.06 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M6" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="8e502977d6e1bea2829db3aff1fd2320"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00002.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00002.png"/></svg:svg></span></span> during 2014–2020. The nonlinear model outperforms the traditional glaciological method and agrees better with these geodetic estimates. The reanalysed mean glacier-wide MB over 2002–2023 is <span class="inline-formula">−</span>0.47 <span class="inline-formula">±</span> 0.19 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M9" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo><mspace linebreak="nobreak" width="0.125em"/><msup><mi mathvariant="normal">a</mi><mrow><mo>-</mo><mn mathvariant="normal">1</mn></mrow></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="49pt" height="13pt" class="svg-formula" dspmath="mathimg" md5hash="f7c9b5f9cb2bc53e581ce76b45048f22"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00003.svg" width="49pt" height="13pt" src="tc-18-5653-2024-ie00003.png"/></svg:svg></span></span>, equivalent to a cumulative loss of <span class="inline-formula">−</span>9.81 <span class="inline-formula">±</span> 0.87 <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M12" display="inline" overflow="scroll" dspmath="mathml"><mrow class="unit"><mi mathvariant="normal">m</mi><mspace width="0.125em" linebreak="nobreak"/><mi mathvariant="normal">w</mi><mo>.</mo><mi mathvariant="normal">e</mi><mo>.</mo></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="32pt" height="8pt" class="svg-formula" dspmath="mathimg" md5hash="25fef67db633bdf487823a453c1c7b7f"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="tc-18-5653-2024-ie00004.svg" width="32pt" height="8pt" src="tc-18-5653-2024-ie00004.png"/></svg:svg></span></span> Our analysis suggests that the nonlinear model can also be used to complete the MB series if for some years the field observations are poor or unavailable. With this analysis, we revisit the glacier-wide MB series of Chhota Shigri Glacier and provide the most accurate and up-to-date version of this series, the longest continuous ever recorded in the Himalaya. We recommend applying the nonlinear model on all traditional glaciological mass balance series worldwide whenever data are sufficient, especially in the Himalaya, where in situ data are often missing due to access issues.</p>https://tc.copernicus.org/articles/18/5653/2024/tc-18-5653-2024.pdf |
| spellingShingle | M. F. Azam C. Vincent S. Srivastava S. Srivastava E. Berthier P. Wagnon H. Kaushik Md. A. Hussain M. K. Munda A. Mandal A. Ramanathan Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) The Cryosphere |
| title | Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) |
| title_full | Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) |
| title_fullStr | Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) |
| title_full_unstemmed | Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) |
| title_short | Reanalysis of the longest mass balance series in Himalaya using a nonlinear model: Chhota Shigri Glacier (India) |
| title_sort | reanalysis of the longest mass balance series in himalaya using a nonlinear model chhota shigri glacier india |
| url | https://tc.copernicus.org/articles/18/5653/2024/tc-18-5653-2024.pdf |
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