<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" specific-use="SMUR" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">TCD</journal-id>
<journal-title-group>
<journal-title>The Cryosphere Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">TCD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">The Cryosphere Discuss.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1994-0440</issn>
<publisher><publisher-name></publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/tc-2021-325</article-id>
<title-group>
<article-title>Uncertainties in mass balance estimation of the Antarctic Ice Sheet using the input and output method</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lin</surname>
<given-names>Yijing</given-names>
<ext-link>https://orcid.org/0000-0001-7495-1501</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Liu</surname>
<given-names>Yan</given-names>
<ext-link>https://orcid.org/0000-0002-6578-1739</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yu</surname>
<given-names>Zhitong</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Cheng</surname>
<given-names>Xiao</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Shen</surname>
<given-names>Qiang</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zhao</surname>
<given-names>Liyun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>College of Global Change and Earth System Science (GCESS), Beijing Normal University, Beijing 100875, China &amp; Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519082, China</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology, Beijing 100094, China</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Southern Marine Science and Engineering Guangdong Laboratory, Zhuhai 519082, China</addr-line>
</aff>
<aff id="aff4">
<label>4</label>
<addr-line>School of Geospatial Engineering and Science, Sun Yat-Sen University, Zhuhai 519082, China</addr-line>
</aff>
<aff id="aff5">
<label>5</label>
<addr-line>State Key Laboratory of Geodesy and Earth’s Dynamics, Innovation Academy for Precision Measurement Science and Technology, CAS, Wuhan 430077, China</addr-line>
</aff>
<aff id="aff6">
<label>6</label>
<addr-line>These authors contributed equally to this work.</addr-line>
</aff>
<pub-date pub-type="epub">
<day>20</day>
<month>12</month>
<year>2021</year>
</pub-date>
<volume>2021</volume>
<fpage>1</fpage>
<lpage>26</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2021 Yijing Lin et al.</copyright-statement>
<copyright-year>2021</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://tc.copernicus.org/preprints/tc-2021-325/">This article is available from https://tc.copernicus.org/preprints/tc-2021-325/</self-uri>
<self-uri xlink:href="https://tc.copernicus.org/preprints/tc-2021-325/tc-2021-325.pdf">The full text article is available as a PDF file from https://tc.copernicus.org/preprints/tc-2021-325/tc-2021-325.pdf</self-uri>
<abstract>
<p>&lt;p&gt;The input-output method (IOM) is one of the most popular methods of estimating the ice sheet mass balance (MB), with a significant advantage in presenting the dynamics response of ice to climate change. Assessing the uncertainties of the MB estimation using the IOM is crucial to gaining a clear understanding of the Antarctic ice-sheet mass budget. Here, we introduce a framework for assessing the uncertainties in the MB estimation due to the methodological differences in the IOM, the impact of the parameterization and scale effect on the modeled surface mass balance (SMB, input), and the impact of the uncertainties of ice thickness, ice velocity, and grounding line data on ice discharge (D, output). For the assessment of the D&amp;rsquo;s uncertainty, we present D at a fine scale. Compared with the goal of determining the Antarctic MB within an uncertainty of 15 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;, we found that the different strategies employed in the methods cause considerable uncertainties in the annual MB estimation. The uncertainty of the RACMO2.3 SMB caused by its parameterization can reach 20.4 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;, while that due to the scale effect is up to 216.7 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;. The observation precisions of the MEaSUREs InSAR-based velocity (1&amp;ndash;17 m yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;), the airborne radio-echo sounder thickness (&amp;plusmn;100 m), and the MEaSUREs InSAR-based grounding line (&amp;plusmn;100 m) contribute uncertainties of 17.1 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;, 10.5 &amp;plusmn; 2.7 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt; and 8.0~27.8 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt; to the D, respectively. However, the D&amp;rsquo;s uncertainty due to the remarkable ice thickness data gap, which is represented by the thickness difference between the BEDMAP2 and the BedMachine reaches 101.7 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;, which indicates its dominant cause of the future D&amp;rsquo;s uncertainty. In addition, the interannual variability of D caused by the annual changes in the ice velocity and ice thickness are considerable compared with the target uncertainty of 15 Gt yr&lt;sup&gt;&amp;minus;1&lt;/sup&gt;, which cannot be ignored in annual MB estimations.&lt;/p&gt;</p>
</abstract>
<counts><page-count count="26"/></counts>
<funding-group>
<award-group id="gs1">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2016YFA0600103</award-id>
<award-id>2018YFA0605403</award-id>
<award-id>2017YFA0603103</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>41925027</award-id>
<award-id>41830536</award-id>
</award-group>
</funding-group>
</article-meta>
</front>
<body/>
<back>
</back>
</article>