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  <front>
    <journal-meta><journal-id journal-id-type="publisher">CP</journal-id><journal-title-group>
    <journal-title>Climate of the Past</journal-title>
    <abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1814-9332</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/cp-15-1039-2019</article-id><title-group><article-title>Coupled climate–carbon cycle simulation of the Last Glacial Maximum
atmospheric <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease using a
large ensemble of modern plausible parameter sets</article-title><alt-title>Coupled climate–carbon cycle simulation of the LGM CO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></alt-title>
      </title-group><?xmltex \runningtitle{Coupled climate--carbon cycle simulation of the LGM CO${}_{2}$}?><?xmltex \runningauthor{K. M. S. Kemppinen et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kemppinen</surname><given-names>Krista M. S.</given-names></name>
          <email>krista.kemppinen@asu.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Holden</surname><given-names>Philip B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2369-0062</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Edwards</surname><given-names>Neil R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Ridgwell</surname><given-names>Andy</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Friend</surname><given-names>Andrew D.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Geography, University of Cambridge, Cambridge, CB2 3EN, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Environment, Earth and Ecosystem Sciences, The Open University, Milton
Keynes, MK7 6AA, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Geographical Sciences, Bristol University, Bristol, BS8 1SS,
UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth Sciences, University of California, Riverside,
CA 92521, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Krista M. S. Kemppinen (krista.kemppinen@asu.edu)</corresp></author-notes><pub-date><day>18</day><month>June</month><year>2019</year></pub-date>
      
      <volume>15</volume>
      <issue>3</issue>
      <fpage>1039</fpage><lpage>1062</lpage>
      <history>
        <date date-type="received"><day>17</day><month>December</month><year>2017</year></date>
           <date date-type="rev-request"><day>5</day><month>January</month><year>2018</year></date>
           <date date-type="rev-recd"><day>8</day><month>May</month><year>2019</year></date>
           <date date-type="accepted"><day>10</day><month>May</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Krista M. S. Kemppinen et al.</copyright-statement>
        <copyright-year>2019</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://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019.html">This article is available from https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e156">During the Last Glacial Maximum (LGM), atmospheric
<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was around 90 ppmv lower than during the
pre-industrial period. The reasons for this decrease are most often
elucidated through factorial experiments testing the impact of individual
mechanisms. Due to uncertainty in our understanding of the real system,
however, the different models used to conduct the experiments inevitably
take on different parameter values and different structures. In this paper,
the objective is therefore to take an uncertainty-based approach to
investigating the LGM <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop by simulating it
with a large ensemble of parameter sets, designed to allow for a wide range
of large-scale feedback response strengths. Our aim is not to definitely
explain the causes of the <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop but rather
explore the range of possible responses. We find that the LGM
<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease tends to predominantly be associated
with decreasing sea surface temperatures (SSTs), increasing sea ice area, a
weakening of the Atlantic Meridional Overturning Circulation (AMOC), a
strengthening of the Antarctic Bottom Water (AABW) cell in the Atlantic
Ocean, a decreasing ocean biological productivity, an increasing
<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering flux and an increasing deep-sea
<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux. The majority of our simulations
also predict an increase in terrestrial carbon, coupled with a decrease in
ocean and increase in lithospheric carbon. We attribute the increase in
terrestrial carbon to a slower soil respiration rate, as well as the
preservation rather than destruction of carbon by the LGM ice sheets. An
initial comparison of these dominant changes with observations and
paleoproxies other than carbon isotope and oxygen data (not evaluated
directly in this study) suggests broad agreement. However, we advise more
detailed comparisons in the future, and also note that, conceptually at
least, our results can only be reconciled with carbon isotope and oxygen
data if additional processes not included in our model are brought into
play.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e235">Analyses of Antarctic ice core records suggest that the atmospheric
<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration at the Last Glacial Maximum
(LGM), about 21 kyr ago, was around 190 ppmv, well below the pre-industrial
atmospheric concentration of around 280 ppmv. The most commonly accepted
mechanisms to explain the atmospheric <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease
include lower sea surface temperatures, which increase the ocean
<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> solubility (Martin et al., 2005; Menviel et
al., 2012), enhanced ocean biological pump due to increased input of aeolian
iron to the ocean (Bopp et al., 2003; Oka et al., 2011; Jaccard et al.,
2013; Ziegler et al., 2013; Martínez-García et al., 2014; Lambert et
al., 2015), capping of air–sea gas exchange by expanding sea ice (Stephens
and Keeling, 2000; Sun and Matsumoto, 2010; Chikamoto et al., 2012) and
ocean circulation/stratification changes increasing the net
<inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux into the ocean (Adkins et al., 2002;
Lynch-Stieglitz et al., 2007; Skinner et al., 2010, 2014; Lippold et al., 2012;
Gebbie, 2014;  Tiedemann et al., 2015; de la Fuente et
al., 2015; Freeman et al., 2015). These changes may in turn be due to a
range of possible mechanisms such as increased brine<?pagebreak page1040?> rejection (Shin et al.,
2003; Bouttes et al., 2010, 2011; Zhang et al., 2013; Ballarotta et al.,
2014), a shift in/weakening of the westerly wind belt over the Southern
Ocean (Toggweiler et al., 2006; Anderson et al., 2009; Völker and
Köhler, 2013) and a reduced or reversed buoyancy flux from the
atmosphere to the ocean surface in the Southern Ocean (Watson and Naveira Garabato,
2006; Ferrari et al., 2014). A process that is conversely assumed to have
contributed to increasing atmospheric <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
increasing salinity and ocean total dissolved inorganic carbon (DIC)
concentration in response to decreasing sea level (Ciais et al., 2013).</p>
      <p id="d1e293">A dominant assumption is also that the terrestrial biosphere carbon
inventory was reduced (Crowley, 1995; Adams and Faure, 1998; Ciais et
al., 2012; Peterson et al., 2014), in line with independent estimates of an
ocean carbon inventory that was enhanced by several hundred petagrams
(Goodwin and Lauderdale, 2013; Sarnthein et al., 2013; Allen et al., 2015;
Skinner et al., 2015; Schmittner and Somes, 2016). The decrease in
terrestrial carbon is generally attributed to unfavourable climatic
conditions for photosynthesis and the destruction of organic material by
moving ice sheets (e.g. Otto et al., 2002; Prentice et al., 2011; Brovkin et
al., 2012; O'ishi and Abe-Ouchi, 2013). The hypothesis that there was an
increase in terrestrial carbon has, however, also been put forward (e.g.
Zeng, 2003; Zimov et al., 2006), with some studies additionally suggesting little
net change (e.g. Brovkin and Ganopolski, 2015). Processes proposed to be
responsible for the terrestrial carbon increase include growth in “inert” or
permafrost carbon, slower “active” soil respiration rates, continental shelf
regrowth and the preservation rather than destruction of terrestrial
biosphere carbon in areas to be covered by the expanding Laurentide and
Eurasian ice sheets (Weitemeyer and Buffett, 2006; Franzén and Cropp,
2007; Zeng, 2007; Zimov et al., 2009; Zech et al., 2011).</p>
      <p id="d1e296">Other mechanisms which may have affected the LGM atmospheric
<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> change include changes in carbonate weathering
rate, through its control on the ocean <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">ALK</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">DIC</mml:mi></mml:mrow></mml:math></inline-formula> ratio and consequently the
solubility of <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Munhoven, 2002; Jones et al.,
2002; Foster and Vance, 2006; Vance et al., 2009; Brovkin et al., 2012;
Crocket et al., 2012; Lupker et al., 2013; Simmons et al., 2016). The change
in carbonate weathering rate would in turn have been caused by lower sea
level, exposing previously submerged rock, the presence of a greater amount
of glacial flour, which is more susceptible to weathering (Kohfeld and
Ridgwell, 2009), or potentially higher soil carbon content. The lower sea
level may also have reduced shallow water carbonate deposition by decreasing
the area of shallow ocean (Opdyke and Walker, 1992; Kleypas, 1997;
Brovkin et al., 2007), and increased oceanic <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
inventory, alleviating the <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limitation on marine
production (Tamburini and Föllmi, 2009; Wallmann, 2014, 2015). Other
potential <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mechanisms include decreasing
dissolved organic carbon inventory due to a more stratified deep ocean (Ma
and Tian, 2014) and reduced marine bacterial metabolic rate in response to
lower ocean temperatures. The lower metabolic rate acts to decrease the
return rate of DIC from the remineralisation of organic material and hence
the concentration of <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the ocean surface
(Matsumoto et al., 2007; Roth et al., 2014). The net flux of
<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into the ocean may also have increased due to
enhanced diatom production caused by the leakage of silicic acid trapped in
the Southern Ocean (Matsumoto et al., 2002, 2014) or increased Si
inventory, caused by increased input of Si from wind-born dust or enhanced
weathering (Harrison, 2000; Tréguer and Pondaven, 2000).</p>
      <p id="d1e389">Mechanisms put forward to explain the LGM atmospheric
<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease arise from paleodata and model
studies. The latter most often involve factorial experiments, introducing
mechanisms one at a time. There is rarely any investigation of the impact of
alternative assumptions regarding parameter values or model structure. An
example of a relevant study is Bouttes et al. (2011), which varied model
parameters controlling the importance of iron fertilisation, brine rejection
and stratification-dependent diffusion in an ensemble setting, assessing the
agreement of the model output with data. Here, our aim is conversely to take
an uncertainty-based approach to investigating the LGM
<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop by simulating it with a large ensemble of
parameter sets designed to allow for a wide range of large-scale feedback
response strengths (Holden et al., 2013a). The objective is not to
definitely explain the causes of the <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop but
rather explore the range of possible responses. By “responses” we mean physical and
biogeochemical changes in the Earth system (e.g. change in global
particulate organic carbon export flux) and how these might be linked to
<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and to each other, rather than specific
mechanisms (e.g. iron fertilisation). Knowledge of these relationships can
in turn inform analysis, in the future, of the relationship between the
ensemble parameters and model outputs, in order to isolate individual LGM
<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mechanisms. In this study, we furthermore seek
to simulate the LGM atmospheric <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop with the
simulated <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> feeding back to the simulated
climate, which is still infrequently done in LGM
<inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> experiments, and the first time it is done with
GENIE-1. Moreover, rather than assuming that terrestrial carbon is destroyed
by the LGM ice sheets, we assume that it is gradually buried. This
assumption has not yet been implemented, in GENIE-1 or other models, in an
equilibrium set-up.</p>
      <p id="d1e484">Despite our ensemble varying many of the parameters thought to contribute to
variability in glacial–interglacial atmospheric
<inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, not all sources of uncertainty can be
captured, and this is reflected in our simulated <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution. We estimate that up to <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ppmv of <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be due to processes not
included in our model and error in our process representations (see Sect. 2.4 for details). We thus treat <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between
<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ppmv as “equally plausible” and focus on
describing the physical and biogeochemical changes seen in the subset of
simulations with this <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. We also conduct an
initial assessment of how the subset mean and/or dominant (in terms of sign)
responses compare against observations and paleoproxies, including
temperature, sea<?pagebreak page1041?> ice, precipitation, AMOC and AABW cell strengths,
terrestrial carbon, ocean carbon, particulate organic matter export and
deep-sea <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial.</p>
      <p id="d1e594">Finally, to test the robustness of relationships derived from the analysis
of the ensemble subset with <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between
<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, we briefly compare the physical and
biogeochemical changes seen therein with the changes seen in the ensemble
with no <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> filter and the ensemble with a
more negative <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> filter (<inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ppmv) (Sect. 2.4). In general, the same dominant relationships
between <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the physical and
biogeochemical changes are observed as in the subset with <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ppmv. In the case of
the ensemble subset with <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, we additionally look at what proportion of
the total terrestrial carbon change comes from within the ice sheet areas
and from there draw conclusions for the rest of the ensemble.</p>
      <p id="d1e765">The paper is organised as follows. Section 2 describes the model, the
ensemble, the simulation set-up and the ensemble subsets to be analysed.
Section 3 is the results and discussion section, which includes a brief
evaluation of the pre-industrial (control) spin-up simulation to verify
reproducibility of Holden et al. (2013a). The majority of the section is
devoted to the LGM simulation: namely, diagnosis of the physical and
biogeochemical changes (including potential causal relationships) seen in
the subset with <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, and to a lesser extent, the ensemble with both more and
less constrained <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Comparison of the
first subset against observations and paleoproxies is also included.
Section 4 provides the key conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The model</title>
      <p id="d1e831">The GENIE-1 configuration is as described in Holden et al. (2013a). The
physical model consists of a three-dimensional frictional geostrophic ocean
model (GOLDSTEIN) coupled to a thermodynamic/dynamic sea ice model (Edwards
and Marsh, 2005; Marsh et al., 2011) and a two-dimensional Energy–Moisture
Balance Model (EMBM). Atmospheric tracers are a subcomponent of the EMBM,
with a simple module (ATCHEM) used to store the concentration of atmospheric
gases and their relevant isotopic properties (Lenton et al., 2007). The
model land surface physics and terrestrial carbon cycle are represented by
an efficient numerical terrestrial scheme (ENTS) (Williamson et al., 2006). The ocean biogeochemistry model (BIOGEM) is
as described in Ridgwell et al. (2007) but includes a representation of iron
cycling (Annan and Hargreaves, 2010) and the biological uptake scheme of
Doney et al. (2006). The model sediments are represented by SEDGEM (Ridgwell
and Hargreaves, 2007). GENIE-1 also includes a land surface weathering
model, ROKGEM (Colbourn, 2011), which redistributes prescribed weathering
fluxes according to a fixed river-routing scheme. The model is on a <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mn mathvariant="normal">36</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula>
equal-area horizontal grid, with 16 vertical levels in the ocean.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>The simulation ensemble</title>
      <p id="d1e854">The GENIE-1 ensemble consists of 471 parameter sets, varying 29 key model
parameters over the ranges in Table 1. It derives from the 471-member
emulator-filtered plausibility constrained ensemble of Holden et al. (2013a),
which varies 24 active parameters and 1 dummy parameter (as a check
against overfitting). The parameter values in Holden et al. (2013a) were
derived by building emulators of eight pre-industrial climate metrics and
applying a rejection sampling method known as approximate Bayesian
computation (ABC) to find parameter sets that the emulators predicted were
modern plausible. Two parameters were later added to the ensemble, in Holden
et al. (2013b), to describe the unmodelled response of clouds to global
average temperature change (OL1) (see Appendix A for further information)
and the uncertain response of photosynthesis to changing atmospheric
<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration (VPC). The parameters are as
described in Holden et al. (2013b). We add two further parameters here that
represent uncertain processes specific to the LGM. The first (FFX) scales
ice sheet meltwater fluxes to account for uncertainty in unmodelled
isostatic depression at the ice–bedrock interface due to ice sheet growth
and for assuming a fixed land–sea mask (Holden et al., 2010b). We vary the
parameter in the ensemble to capture the uncertainty in the magnitude of the
glacial sea level drop and its effects on the carbon cycle. The second (GWS)
scales the global average pre-industrial carbonate weathering rates for the
LGM, to account for uncertainty in carbonate weathering and unmodelled
shallow water carbonate deposition rate changes. For both FFX and GWS,
uniform random values were derived using the generation function “runif” in R.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e871">Ensemble parameters. Ranges are from (a) Holden et al. (2013a), (b) Holden et al. (2013b) and (c) Holden et al. (2010b), with the exception of GWS (see main text). The table also precludes the dummy parameter.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.97}[.97]?><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="51.214961pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="28.452756pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="273.146457pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="93.894094pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="14.226378pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Module</oasis:entry>
         <oasis:entry colname="col2">Code</oasis:entry>
         <oasis:entry colname="col3">Description</oasis:entry>
         <oasis:entry colname="col4">Range</oasis:entry>
         <oasis:entry colname="col5">Ref.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">EMBM</oasis:entry>
         <oasis:entry colname="col2">AHD</oasis:entry>
         <oasis:entry colname="col3">Atmospheric heat diffusivity (m<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">1 118 875 to 4 368 143</oasis:entry>
         <oasis:entry colname="col5">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">AMD</oasis:entry>
         <oasis:entry colname="col3">Atmospheric moisture diffusivity (m<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">50 719 to 2 852 835</oasis:entry>
         <oasis:entry colname="col5">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">APM</oasis:entry>
         <oasis:entry colname="col3">Atlantic–Pacific moisture flux scaling</oasis:entry>
         <oasis:entry colname="col4">0.1 to 2.0</oasis:entry>
         <oasis:entry colname="col5">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OL0</oasis:entry>
         <oasis:entry colname="col3">Clear skies' outgoing longwave radiation (OLR) reduction (W m<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">2.6 to 10.0</oasis:entry>
         <oasis:entry colname="col5">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">OL1</oasis:entry>
         <oasis:entry colname="col3">OLR feedback (W m<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> to 0.5</oasis:entry>
         <oasis:entry colname="col5">b</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GOLDSTEIN <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>SEA-ICE <?xmltex \hack{\hfill\break}?>ENTS <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>BIOGEM <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>ROKGEM</oasis:entry>
         <oasis:entry colname="col2">OHD <?xmltex \hack{\hfill\break}?>OVD <?xmltex \hack{\hfill\break}?>OP1 <?xmltex \hack{\hfill\break}?>ODC <?xmltex \hack{\hfill\break}?>WSF <?xmltex \hack{\hfill\break}?>FFX <?xmltex \hack{\hfill\break}?>SID <?xmltex \hack{\hfill\break}?>VFC <?xmltex \hack{\hfill\break}?>VBP <?xmltex \hack{\hfill\break}?>VRA <?xmltex \hack{\hfill\break}?>LLR <?xmltex \hack{\hfill\break}?>SRT <?xmltex \hack{\hfill\break}?>VPC <?xmltex \hack{\hfill\break}?>PHS <?xmltex \hack{\hfill\break}?>PRP <?xmltex \hack{\hfill\break}?>PRD <?xmltex \hack{\hfill\break}?>RRS <?xmltex \hack{\hfill\break}?>TCP <?xmltex \hack{\hfill\break}?>PRC <?xmltex \hack{\hfill\break}?>CRD <?xmltex \hack{\hfill\break}?>FES <?xmltex \hack{\hfill\break}?>ASG <?xmltex \hack{\hfill\break}?>GWS</oasis:entry>
         <oasis:entry colname="col3">Isopycnal diffusivity (m<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Reference diapycnal diffusivity (m<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Power law for diapycnal diffusivity depth profile <?xmltex \hack{\hfill\break}?>Ocean inverse drag coefficient (d) <?xmltex \hack{\hfill\break}?>Wind scale factor <?xmltex \hack{\hfill\break}?>Freshwater flux scaling factor <?xmltex \hack{\hfill\break}?>Sea ice diffusivity (m<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Fractional vegetation dependence on  vegetation carbon density (m<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> kgC<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Base rate of photosynthesis (kgC m<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Vegetation respiration activation energy (J mol<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Leaf litter rate (yr<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Soil respiration activation temperature (K) <?xmltex \hack{\hfill\break}?>Photosynthesis half-saturation to <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppmv) <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> half-saturation concentration (mol kg<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) <?xmltex \hack{\hfill\break}?>Initial proportion of POC export as recalcitrant fraction <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M82" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding remineralisation depth of non-recalcitrant POC (m) <?xmltex \hack{\hfill\break}?>Rain ratio scalar <?xmltex \hack{\hfill\break}?>Thermodynamic calcification rate power <?xmltex \hack{\hfill\break}?>Initial proportion of <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export  as recalcitrant fraction <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M84" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding remineralisation depth of non-recalcitrant <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (m) <?xmltex \hack{\hfill\break}?>Iron solubility <?xmltex \hack{\hfill\break}?>Air–sea gas exchange parameter <?xmltex \hack{\hfill\break}?>Land-to-ocean bicarbonate flux scaling factor</oasis:entry>
         <oasis:entry colname="col4">312 to 5644 <?xmltex \hack{\hfill\break}?>0.00002 to 0.0002 <?xmltex \hack{\hfill\break}?>0.008 to 1.5 <?xmltex \hack{\hfill\break}?>0.5 to 5.0 <?xmltex \hack{\hfill\break}?>1.0 to 3.0 <?xmltex \hack{\hfill\break}?>1.0 to 2.0 <?xmltex \hack{\hfill\break}?>5671 to 99 032 <?xmltex \hack{\hfill\break}?>0.4 to 1.0 <?xmltex \hack{\hfill\break}?>3.0 to 5.5 <?xmltex \hack{\hfill\break}?>24 211 to 71 926 <?xmltex \hack{\hfill\break}?>0.08 to 0.3 <?xmltex \hack{\hfill\break}?>198 to 241 <?xmltex \hack{\hfill\break}?>30 to 697 <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>0.01 to 0.1 <?xmltex \hack{\hfill\break}?>106 to 995 <?xmltex \hack{\hfill\break}?>0.02 to 0.1 <?xmltex \hack{\hfill\break}?>0.2 to 2.0 <?xmltex \hack{\hfill\break}?>0.1 to 1.0 <?xmltex \hack{\hfill\break}?>314 to 2962 <?xmltex \hack{\hfill\break}?>0.001 to 0.01 <?xmltex \hack{\hfill\break}?>0.1 to 0.5 <?xmltex \hack{\hfill\break}?>0.5 to 1.5</oasis:entry>
         <oasis:entry colname="col5">a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>c <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>b <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>a <?xmltex \hack{\hfill\break}?>n/a</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e874">n/a – not applicable</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experimental set-up of the model</title>
      <p id="d1e1577">The pre-industrial ensemble simulation results were repeated to verify
reproducibility of Holden et al. (2013a). The simulations were performed in
two stages, each lasting 10 kyr, on the Cambridge high-performance computing
(HPC) cluster Darwin. The first stage involved spinning up the model with
atmospheric <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration relaxed to 278 ppmv
and a closed biogeochemistry system. This means that there are no
sediment–ocean interactions and the model forces the
<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering and deep-sea sediment burial rates
into balance. An initial <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering flux is
prescribed, but this is subsequently rescaled internally to balance
the modelled <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial rate and conserve
alkalinity. In the second stage, atmospheric <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
was allowed to evolve freely, with interacting oceans and sediments, and the
<inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering rate is set equal to the
<inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial rate diagnosed from the end of stage 1. To allow the sediments to reach equilibrium<?pagebreak page1042?> as fast as possible, no
bioturbation was modelled in either stage 1 or stage 2.</p>
      <p id="d1e1658">Each parameter set was then applied to LGM simulations. The modelled
pre-industrial equilibrium states were used as initial conditions and the
ensemble members were integrated for 10 kyr, with freely evolving
<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. These 10 kyr simulations are variously
referred to here as the “LGM equilibrium simulation” or “stage 3”, and
the LGM equilibrium state refers to the end of stage 3 (see Sect. S1 in the Supplement for more
details). After application to stages 2 and 3, the original 471 ensemble
members were filtered to 315 ensemble members to exclude those simulations
with a stage 2 atmospheric <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration
outside of the range 268 to 288 ppmv (see Prentice et al., 2001), those
that entered a snowball Earth state in stage 3 (global annual SAT between
<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">68</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) or those that showed evidence of
numerical instability (see Holden et al., 2013b).</p>
      <p id="d1e1714">Boundary conditions applied in the LGM simulations included orbital
parameters (Berger, 1978) and aeolian dust deposition fields (Mahowald et
al., 2006). The atmospheric <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> used in the
radiative code is internally generated, rather than prescribed, but the
radiative forcing from dust and gases other than
<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was neglected. The model also requires a
detrital flux field to the sediments, containing contributions from opal and
material from non-aeolian sources (Ridgwell and Hargreaves, 2007).
Weathering fluxes from the pre-industrial simulation were applied, scaled by
GWS (the land-to-ocean bicarbonate flux scaling factor).</p>
      <p id="d1e1739">The representation of the ice sheets is as described in Holden et al. (2010b), using the terrestrial ice sheet fraction and orography from the
ICE-4G reconstruction of Peltier (1994). Rather than initialising the
ensemble with the ice sheet extent and orography at 21 kyr BP, the ice
sheets are configured to grow from their pre-industrial to LGM extent in 1 kyr, at the beginning of the LGM simulation (i.e. 0–1 kyr) in order to
account for the impact of sea level change on ocean tracers. Following
Holden et al. (2010b), only the Laurentide and Eurasian ice sheets are
allowed to change from their pre-industrial form (accounting for
<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % of global ice sheet change), and we also route the
freshwater to build the ice sheets from the Atlantic, Pacific and Arctic,
assuming modern topography, rather than extracting it uniformly. As the ice
sheets grow, grid cells on land are gradually covered by ice, and any carbon
that remains, or has accumulated, is<?pagebreak page1043?> preserved underneath (“buried”). Once
the ice covers a grid cell, there is no more exchange between the land
carbon in that grid cell and the atmosphere. Prior to being buried, however,
it is subject to the same forcings as carbon in any other grid cell. To
determine how sensitive the burial carbon amount (i.e. the amount of carbon
that is available for preservation underneath the ice) is to the duration of
ice sheet build-up, we test the impact of varying the latter from 1 to 10 kyr for one ensemble member (extending the total simulation length to 11 kyr). Our assumption is that if the difference is negligible, applying the
same ensemble member to a transient simulation of the full glacial cycle
(and therefore a more realistic ice sheet build-up history) would not have
yielded a dramatically different burial carbon inventory. We find that
increasing the ice sheet build-up duration indeed changes the burial carbon
amount only marginally: an increase of <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula> PgC. A limitation,
however, is that we do not have a way of testing if the response of other
ensemble members would be equally subdued.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Ensemble subsets</title>
      <p id="d1e1770">Although our ensemble varies many of the parameters thought to contribute to
variability in glacial–interglacial atmospheric
<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, not all sources of uncertainty can be
captured. We estimate, based on our expert opinion, that up to
<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ppmv of <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be due
to error in our process representations and processes not included in our
model, such as changing marine bacterial metabolic rate, wind speed (via its
effect on gas transfer) and Si fertilisation. This is not a comprehensive
assessment, however, as our model also does not include processes such as
the effect of changing winds on ocean circulation (Toggweiler et al., 2006),
Si leakage (Matsumoto et al., 2002, 2013, 2014), the effect of decreasing
sea surface temperatures (SSTs) on <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production (Iglesias-Rodriguez et
al., 2002) or changing oceanic <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> inventory
(Menviel et al., 2012). We focus our analyses on the subset of the ensemble
with <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ppmv (Table 2), treating each value in this range as equally plausible. To
test the robustness of diagnosed relationships, we also briefly compare the
response of this subset (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) with the response
of the ensemble with no <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> filter
(<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and the response of the ensemble with a
more negative <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> filter
(<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). In <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the
upper <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> limit is set to <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ppmv, roughly equivalent to allowing for an extra atmospheric
<inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decrease due to changing marine bacterial
metabolic rate, wind speed (via its effect on gas transfer) and Si
fertilisation, between the best and upper estimate of Kohfeld and Ridgwell (2009). The <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution in each subset
or ensemble is shown in Fig. 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1989">Ensemble subsets, including <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and number of members in each.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Ensemble</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> range (ppmv)</oasis:entry>
         <oasis:entry colname="col3">Number of members</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">88</mml:mn></mml:mrow></mml:math></inline-formula> to 74</oasis:entry>
         <oasis:entry colname="col3">315</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">88</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">104</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">88</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">59</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e2156">LGM change in atmospheric
<inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution. The
<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response is shown in grey, the
<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ensemble response in yellow and the
<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ensemble response in orange. The same colour
legend applies to all figures in the paper.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f01.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Pre-industrial simulations</title>
      <p id="d1e2227">Comparison of the pre-industrial response of <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(i.e. the original, non-<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> filtered
ensemble) against the pre-industrial ensemble response of Holden et al. (2013a) confirms that the two are very similar. We additionally evaluate
<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> against a few additional pre-industrial metrics
(see Sect. S2) and find responses that can be deemed plausible, following the
design principles for the ensemble, outlined in Holden et al. (2013a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2267">LGM change in surface air temperature and sea surface temperature <bold>(a–b)</bold> distributions.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>LGM simulations</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Climate, sea level and ocean circulation</title>
</sec>
<sec id="Ch1.S3.SS2.SSSx1" specific-use="unnumbered">
  <title>Temperature</title>
      <?pagebreak page1044?><p id="d1e2300">The <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM surface air temperature (SAT)
anomaly (<inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula>, and the range
is <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The mean is close to the observed
<inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Annan and
Hargreaves, 2013) and the range roughly equivalent to the range of previous
model-based estimates (Kim et al., 2003; Masson-Delmotte et al., 2006;
Schneider von Deimling et al., 2006; Braconnot et al., 2007; Holden et al.,
2010a; Brady et al., 2013). The <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM SST
anomaly (<inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SST</mml:mi></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and the
range is <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The mean is again close to an
observational data-constrained model estimate (Schmittner et al., 2011) and
within the range of estimates inferred from proxy data (MARGO Project
Members 2009 in Masson-Delmotte et al., 2013). There is a positive
correlation between <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula>, 0.05 significance level
henceforth), most likely reflecting the radiative impact of atmospheric
<inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on SAT, as well as the effect of changing SAT
on <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. As suggested above,
decreasing SST may contribute to decreasing <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via
the <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> solubility temperature dependence. Changing
SAT may also affect <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via its effects on
sea ice, ocean circulation, terrestrial and marine productivity (see below).
The positive correlation is reproduced in <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula>), and as shown in Fig. 2, <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SST</mml:mi></mml:mrow></mml:math></inline-formula> tend to be less negative in
<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than in <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In
<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SST</mml:mi></mml:mrow></mml:math></inline-formula> are from the extreme or at least lower end of the
<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> range.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2681">LGM change in surface air temperature <bold>(a–b)</bold> and sea surface
temperature <bold>(c–d)</bold> (<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mean <bold>(a, c)</bold> and standard deviation <bold>(b, d)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f03.png"/>

          </fig>

      <p id="d1e2723">The <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SST</mml:mi></mml:mrow></mml:math></inline-formula> spatial distributions are shown in Fig. 3. In line
with observations (Annan and Hargreaves, 2013), the largest SAT decreases
(<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) are simulated over the Laurentide and
Eurasian ice sheets. The Equator-to-pole temperature gradient is also
broadly reproduced. The largest SST decreases (<inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) are found in the North Atlantic and northeast Pacific, with more limited
cooling (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) in the tropics and polar regions,
again consistent with observations. However, the largest SST decreases ought
to also be found in the Southern Hemisphere midlatitudes, whereas the
simulated cooling is more moderate.</p>
</sec>
<sec id="Ch1.S3.SS2.SSSx2" specific-use="unnumbered">
  <title>Salinity</title>
      <p id="d1e2823">The <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean percentage increase in LGM salinity
(and DIC, ALK, <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, etc.) due to decreasing sea
level is <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.84</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> %S, and the range is 2 %S to 4 %S.
There is no significant relationship between %S and <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in either <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or
<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and the distribution of %S is similar in
<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and in both <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2931">Percentage increase in LGM salinity due to decreasing sea level
distribution.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f04.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2.SSSx3" specific-use="unnumbered">
  <title>Sea ice</title>
      <p id="d1e2948">The <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM global annual sea ice area
anomaly (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn></mml:mrow></mml:math></inline-formula> million km<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, and the range is 9.9 to 44 million km<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. There is a negative correlation between
<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>) and between
<inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula>). The negative correlation between <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> likely reflects the
impact of changing atmospheric <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on
<inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> but may also include a smaller contribution from
changing sea ice area to <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
Increasing LGM sea ice area could, for instance, have capped the outgassing of
<inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the ocean, particularly in the Southern
Ocean, and also reduced the net ocean–atmosphere
<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux by decreasing the AMOC strength (see
below). The negative correlation between <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula>, and between <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is reproduced in
<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula>, respectively).
<inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> also tends to be
higher than in <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and smaller than in
<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 5).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3285">LGM change in global sea ice area distribution.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f05.png"/>

          </fig>

      <p id="d1e3294">As shown in Fig. 6, fractional sea ice cover increases in all regions where
sea ice is present in pre-industrial simulations, although the largest
increases take place in the North Atlantic.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3300">LGM-PRE <bold>(a–b)</bold> and PRE <bold>(c–d)</bold> fractional sea ice cover
<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> means <bold>(a, c)</bold> and standard
deviations <bold>(b, d)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSSx4" specific-use="unnumbered">
  <title>Precipitation</title>
      <p id="d1e3339">The <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean spatial distribution of the LGM
precipitation rate anomaly (<inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">PP</mml:mi></mml:mrow></mml:math></inline-formula>) is shown in Fig. 7. The
LGM changes are mostly negative but regions of positive <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">PP</mml:mi></mml:mrow></mml:math></inline-formula>
do exist, notably over Siberia and Australia. The largest LGM precipitation
decreases (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> mm d<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with a
maximum of 2.25 mm d<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are found over
northern North America and from around the eastern North Atlantic to
northwest Asia, coinciding with the location of the Laurentide and Eurasian
ice sheets (and the largest increases in fractional sea ice cover),
respectively. Relatively large precipitation decreases (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn></mml:mrow></mml:math></inline-formula> mm d<inline-formula><mml:math id="M230" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are also simulated in eastern Asia,
equatorial Africa and other regions of enhanced fractional sea ice cover.
Comparison against a pollen-based precipitation reconstruction (Bartlein et
al., 2011; Alder and Hostetler, 2015)<?pagebreak page1045?> suggest that the simulated
precipitation changes over Europe and equatorial Africa are of the right
direction, while precipitation changes over western Siberia at least ought
to be negative. The sign of the precipitation changes over North America is
mostly consistent with observations, which record negative changes over most
of the continent. However, positive changes, which are also observed, are
not captured. Although not shown here, comparison of the
<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean against the
<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean suggests that the precipitation
patterns in the two are very similar, but the decreases generally tend to be
higher in the <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean. The precipitation
decreases in <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversely tend to be smaller
than in <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e3488">LGM change in precipitation rate (mm d<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <bold>(a)</bold> and standard
deviation <bold>(b)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSSx5" specific-use="unnumbered">
  <title>Ocean circulation</title>
      <p id="d1e3532">The <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM AMOC strength anomaly
(<inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> Sv, and the range is <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> to 4.7 Sv (Fig. 8). These estimates lie at the
low end of the <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> predicted by
nine Paleoclimate Modelling Intercomparison Project phase 2 (PMIP2) (Weber et al., 2007) and eight PMIP3 (Muglia and Schmittner, 2015)
coupled model simulations. However, they do not include the more negative
<inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> predicted by Völker and
Köhler (2013), for instance. The <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean
LGM-PRE AABW cell strength in the Atlantic Ocean (<inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> Sv. A positive
<inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents an LGM decrease
in cell strength as we keep the original (negative) sign for anticlockwise
flow of Antarctic water. A negative <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min<?pagebreak page1046?></mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> conversely represents an LGM increase in cell strength. However, the difference between the LGM and PRE Atlantic AABW
here is not statistically significant. The range of <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn></mml:mrow></mml:math></inline-formula> to 4.3 Sv, roughly comparable to the
range of <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> predicted in
Weber et al. (2007) (see also Muglia and Schmittner, 2015) but excluding
the much larger <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>min⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> increase predicted by Kim et
al. (2003), for example. As shown in Fig. 9, the northern limit of the
<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM AABW cell is roughly at the same
latitude as in the pre-industrial simulations. The maximum depth reached by
the ensemble mean AMOC base is also similar to pre-industrial. Observations
(Lynch-Stieglitz et al., 2007; Lippold et al., 2012; Gebbie, 2014; Böhm
et al., 2015), conversely, suggest that the LGM AMOC shoaled to less than 2 km, raising its base depth by 2500 and 600 m at the north and south ends of
the return flow, respectively. The LGM AABW, in turn, is thought to have
filled the deep Atlantic below 2 km, reaching as far north as 65<inline-formula><mml:math id="M254" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, which is approximately 25<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> north of its modern northern limit (Oppo et al.,
2015).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e3752">LGM change in <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a–b)</bold> distributions.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f08.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3788">LGM <bold>(a–b)</bold> and PRE <bold>(c–d)</bold> Atlantic overturning stream function (Sv)
<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> means <bold>(a, c)</bold> and standard
deviations <bold>(b, d)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f09.png"/>

          </fig>

      <?pagebreak page1047?><p id="d1e3821">Although not shown here, the <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ensemble members
tend to exhibit a shoaling of the AMOC and enhanced penetration of AABW.
With regard to <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, one can see from Fig. 8
that these tend to be more negative (i.e. weaker AMOC and stronger AABW)
than in <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in
<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tend to conversely be more positive. In
<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we also find a positive relationship
between <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.57</mml:mn></mml:mrow></mml:math></inline-formula>) and a negative relationship
between <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.42</mml:mn></mml:mrow></mml:math></inline-formula>). The relationships are reproduced
in <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.36</mml:mn></mml:mrow></mml:math></inline-formula>,
respectively). We additionally find, in both <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, negative correlations between
<inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M287" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.66</mml:mn></mml:mrow></mml:math></inline-formula>), as well as positive
correlations between <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SAT</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula> and 0.66), and <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula> and
0.42). Based on these relationships, we hypothesise that increasing LGM AABW
strength led to an expansion of the AABW cell. The latter in turn restricted
the AMOC to lower depths and reduced its overturning rate (e.g. Shin et
al., 2003). The increase in AABW strength was likely driven by increases in
sea ice enhancing brine rejection. Sea ice increases in the North Atlantic
may have additionally weakened the AMOC cell by locally reducing deep
convection.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e4280">LGM-PRE carbon partitioning scenarios in <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col3" align="center">Scenarios </oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col5" align="center" colsep="1"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center" colsep="1"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center"><inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">Total</oasis:entry>
         <oasis:entry colname="col5">(% of</oasis:entry>
         <oasis:entry colname="col6">Total</oasis:entry>
         <oasis:entry colname="col7">(% of</oasis:entry>
         <oasis:entry colname="col8">Total</oasis:entry>
         <oasis:entry colname="col9">(% of</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">counts</oasis:entry>
         <oasis:entry colname="col5">total)</oasis:entry>
         <oasis:entry colname="col6">counts</oasis:entry>
         <oasis:entry colname="col7">total)</oasis:entry>
         <oasis:entry colname="col8">counts</oasis:entry>
         <oasis:entry colname="col9">total)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1. <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">279</oasis:entry>
         <oasis:entry colname="col5">(89)</oasis:entry>
         <oasis:entry colname="col6">82</oasis:entry>
         <oasis:entry colname="col7">(79)</oasis:entry>
         <oasis:entry colname="col8">10</oasis:entry>
         <oasis:entry colname="col9">(63)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2. <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M306" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">16</oasis:entry>
         <oasis:entry colname="col5">(5)</oasis:entry>
         <oasis:entry colname="col6">11</oasis:entry>
         <oasis:entry colname="col7">(11)</oasis:entry>
         <oasis:entry colname="col8">3</oasis:entry>
         <oasis:entry colname="col9">(19)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3. <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M309" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">11</oasis:entry>
         <oasis:entry colname="col5">(3)</oasis:entry>
         <oasis:entry colname="col6">8</oasis:entry>
         <oasis:entry colname="col7">(8)</oasis:entry>
         <oasis:entry colname="col8">2</oasis:entry>
         <oasis:entry colname="col9">(13)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4. <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">(1)</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
         <oasis:entry colname="col7">(1)</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">(0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5. <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">(2)</oasis:entry>
         <oasis:entry colname="col6">2</oasis:entry>
         <oasis:entry colname="col7">(1)</oasis:entry>
         <oasis:entry colname="col8">1</oasis:entry>
         <oasis:entry colname="col9">(6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6. <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5">(1)</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">(0)</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">(0)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7. <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi><mml:mo>(</mml:mo><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5">(1)</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">(0)</oasis:entry>
         <oasis:entry colname="col8">0</oasis:entry>
         <oasis:entry colname="col9">(0)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page1048?><p id="d1e4964">The relationships between <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">min</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are also consistent with increasing
<inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>min⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> (decreasing <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>)
contributing to decreasing atmospheric <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The
replacement of North Atlantic Deep Water (NADW) by AABW in the North Atlantic would, for instance, have
led to a dissolution of deep-sea sediment <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due
to AABW having a lower bottom water
<inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration than NADW (see, e.g.
Yu et al., 2014). The increased <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissolution
flux would in turn have raised the whole ocean alkalinity, lowering the
atmospheric <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Enhanced AABW production would
also have caused the deep ocean to become more stratified, allowing more DIC
to accumulate at depth and promoting further <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dissolution. A decrease in NADW formation could have additionally lowered
atmospheric <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by reducing
<inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> outgassing at the ocean surface and reducing
the burial rate of deep-sea <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to the
concomitant increase in deep-sea DIC accumulation. Further investigation is,
however, required to confirm these causal relationships.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Terrestrial biosphere, ocean and lithospheric carbon</title>
      <p id="d1e5142">As shown in Fig. 10, most of the ensemble members in
<inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> predict an LGM increase in terrestrial
biosphere (<inline-formula><mml:math id="M338" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula>) and lithospheric<fn id="Ch1.Footn1"><p id="d1e5166">The
<inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi></mml:mrow></mml:math></inline-formula> stems from changes in the deep-sea
<inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux and/or
<inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering/shallow water deposition flux and
was initially calculated to ensure that carbon was being conserved over the
LGM simulation.</p></fn> (<inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi></mml:mrow></mml:math></inline-formula>) carbon inventory and a decrease
in ocean carbon inventory (<inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula>). The remaining ensemble
members predict one of four other scenarios of carbon partitioning, with the
second most common scenario (11 % of ensemble members) being increasing
terrestrial carbon and decreasing ocean and lithospheric carbon (Table 3).
Similar patterns can also be observed in <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. A likely explanation for scenario 1
(increase in terrestrial biosphere and lithospheric carbon, decrease in
ocean carbon) is that reduced soil decomposition (see below) causes
a flux of <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the atmosphere to
the land, leading to an immediate outgassing of <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
from the ocean to remove the atmospheric <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
difference. The <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> outgassing also leads to an
increase in surface [<inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>] and
subsequently deep ocean [<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>], which
reduces <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissolution (and increases
lithospheric carbon). The increase in <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial
in turn decreases [<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>] and increases
[<inline-formula><mml:math id="M355" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>], which is communicated back to the surface,
with a resultant increase in atmospheric <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(Kohfeld and Ridgwell, 2009). The above explanation is of course only part
of the explanation for this dominant carbon partitioning scenario, with
physical mechanisms also expected to play a role, in addition to any changes
in ocean productivity and changes in land carbonate weathering (see below).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e5387">LGM change in vegetation <bold>(a)</bold>, soil <bold>(b)</bold>, terrestrial (vegetation plus soil) <bold>(c)</bold>, ocean <bold>(d)</bold> and lithospheric <bold>(e)</bold> carbon inventory distributions.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f10.png"/>

          </fig>

      <p id="d1e5411">The <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi></mml:mrow></mml:math></inline-formula>, the signs of which are
consistent with scenario 1, are reported in Table 4, alongside previous
estimates from observational data- and model-based studies. From here, we can
see that the mean <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> is only aligned with a handful of
estimates and no studies so far report a negative <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula>.
Instead, <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula> is estimated to be positive, primarily
based on carbon isotope data. The loss of hundreds of petagrams of carbon
from the ocean in response to terrestrial carbon growth has, however, been
previously proposed (e.g. Zimov et al., 2006). Moreover, if we assume that
90 % of the atmospheric <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> perturbation caused
by the increase in terrestrial biosphere carbon reported in Table 4 gets
removed by the ocean and sediments, the change in ocean carbon would be
negative, even after adding the remaining carbon to be lost from the
atmosphere to the ocean. We discuss what these results would likely mean for
carbon isotope data in Sect. 3.2.6.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e5501">LGM-PI difference in terrestrial (<inline-formula><mml:math id="M365" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula>), ocean (<inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula>)
and lithospheric (<inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi></mml:mrow></mml:math></inline-formula>) carbon inventory (PgC)
in this study (<inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean, standard deviation and range) and previous studies.
CR95 is Crowley (1995),
AF98 is Adams and Faure (1998),
Z03 is Zeng (2003),
ZI09 is Zimov et al. (2009),
PR11 is Prentice et al. (2011),
ZE11 is Zech et al. (2011),
BR12 is Brovkin et al. (2012),
CI12 is Ciais et al. (2012),
GL13 is Goodwin and Lauderdale (2013),
OA13 is O'ishi and Abe-Ouchi (2013),
SA is Sarnthein et al. (2013),
PE14 is Peterson et al. (2014),
AL15 is Allen et al. (2015),
BG15 is Brovkin and Ganopolski (2015),
SK15 is Skinner et al. (2015),
SS16 is Schmittner and Somes (2016),
ME17 is Menviel et al. (2017) and
JE18 is Jeltsch-Thömmes et al. (2019).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="48.369685pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="76.822441pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="62.596063pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="42.679134pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="199.169291pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">This study</oasis:entry>
         <oasis:entry colname="col3">Previous studies</oasis:entry>
         <oasis:entry colname="col4">Ref.</oasis:entry>
         <oasis:entry colname="col5">Details</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mn mathvariant="normal">467.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">286.5</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>[<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">51.6</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1603.8</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1160</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">530</mml:mn></mml:mrow></mml:math></inline-formula>] <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1500</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">850</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>[<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">694</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">550</mml:mn></mml:mrow></mml:math></inline-formula>] <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">597</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">511</mml:mn></mml:mrow></mml:math></inline-formula><?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">378</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">330</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>0</oasis:entry>
         <oasis:entry colname="col4">CR95 <?xmltex \hack{\hfill\break}?>AF98 <?xmltex \hack{\hfill\break}?>JE18 <?xmltex \hack{\hfill\break}?>PR11 <?xmltex \hack{\hfill\break}?>BR12 <?xmltex \hack{\hfill\break}?>OA13 <?xmltex \hack{\hfill\break}?>PE14 <?xmltex \hack{\hfill\break}?>ME17 <?xmltex \hack{\hfill\break}?>C12 <?xmltex \hack{\hfill\break}?>  <?xmltex \hack{\hfill\break}?>BG15</oasis:entry>
         <oasis:entry colname="col5">Pollen database <?xmltex \hack{\hfill\break}?>Ecological data <?xmltex \hack{\hfill\break}?>Simulation with Bern3D <?xmltex \hack{\hfill\break}?>Simulation with LPX <?xmltex \hack{\hfill\break}?>Simulation with CLIMBER-2 <?xmltex \hack{\hfill\break}?>Simulation with MIROC-LPJ <?xmltex \hack{\hfill\break}?>Benthic foraminiferal <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> records <?xmltex \hack{\hfill\break}?>Simulation with LOVECLIM <?xmltex \hack{\hfill\break}?>Benthic foraminiferal, ice core and terrestrial <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> records plus simulation with LPJ land ecosystem model <?xmltex \hack{\hfill\break}?>Simulation with CLIMBER-2 (plus permafrost, peat, glacial burial carbon)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">547</oasis:entry>
         <oasis:entry colname="col4">Z03</oasis:entry>
         <oasis:entry colname="col5">Simulation with a coupled atmosphere–land–ocean–carbon model</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">ZE11</oasis:entry>
         <oasis:entry colname="col5">Soil carbon measurements</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">ZI09</oasis:entry>
         <oasis:entry colname="col5">Soil carbon measurements</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">OceanC</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">664</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">626.9</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>[<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3187.7</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">662.4</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mn mathvariant="normal">730</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">980</mml:mn></mml:mrow></mml:math></inline-formula>] <?xmltex \hack{\hfill\break}?>687 <?xmltex \hack{\hfill\break}?>654 <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>[<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mn mathvariant="normal">570</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">970</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">SA13 <?xmltex \hack{\hfill\break}?>SK15 <?xmltex \hack{\hfill\break}?>A15 <?xmltex \hack{\hfill\break}?> <?xmltex \hack{\hfill\break}?>GL13</oasis:entry>
         <oasis:entry colname="col5">Ocean radiocarbon records <?xmltex \hack{\hfill\break}?>Ocean radiocarbon records <?xmltex \hack{\hfill\break}?>Ocean [<inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>] reconstructions plus benthic<?xmltex \hack{\hfill\break}?>foraminiferal <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> records <?xmltex \hack{\hfill\break}?>Ocean [<inline-formula><mml:math id="M393" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>] reconstructions</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">520</oasis:entry>
         <oasis:entry colname="col4">C12</oasis:entry>
         <oasis:entry colname="col5">Benthic foraminiferal, ice core and terrestrial <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> records plus simulation with LPJ land ecosystem model</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mn mathvariant="normal">510</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">670</mml:mn></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">SS16</oasis:entry>
         <oasis:entry colname="col5">Simulation with MOBI 1.5 coupled to UVic</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">LithC</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mn mathvariant="normal">292.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">373.9</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>[<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">654.9</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1700.9</mml:mn></mml:mrow></mml:math></inline-formula>] <?xmltex \hack{\hfill\break}?></oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">n/a</oasis:entry>
         <oasis:entry colname="col5">n/a</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page1049?><p id="d1e6157">The positive <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> studies in Table 4 attribute the
increase in terrestrial carbon to different factors: Zimov et al. (2009) and
Zech et al. (2011) predict large increases in permafrost carbon, while Zeng (2003) ignores permafrost. Instead, the author attributes the glacial
terrestrial carbon increase to the preservation rather than destruction of
carbon in areas to be covered by the LGM ice sheets, lower soil respiration
rates (in the active carbon pool) caused by a colder climate, as well as
storage of carbon on exposed continental shelves. Here, neither the latter
carbon accumulation mechanism, nor that of permafrost growth, are included.
However, our model does attempt to capture the very slow rates of soil
decomposition characteristic of permafrost (Williamson et al., 2006). We
attribute the terrestrial carbon increase in our ensemble to a higher soil
carbon inventory caused by a decreasing soil respiration rate. As can be
seen from Fig. 10, vegetation carbon tends to conversely decrease at the
LGM. As in Zeng (2003), we also do not assume that, as the ice sheets expand
over terrestrial carbon, they destroy it. The lack of this potential loss
term means that our <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> estimates may be higher than in
many previous studies, irrespective of what the response of the terrestrial
biosphere is to the LGM climate and <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forcings.
O'ishi and Abe-Ouchi (2011), for instance, estimated that the LGM climate is
responsible for the loss of 502 PgC of terrestrial carbon, while another 388 PgC is removed by the ice sheets. Zeng (2003) conversely proposed that 431 PgC is preserved under the ice sheets at the LGM. This number includes 315 PgC present during the interglacial and another 116 PgC accumulated in
response to the glacial climate forcings, prior to insulation of the
terrestrial carbon from the atmosphere by the ice sheet coverage. Here,
analysis of <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> suggests that during the 1000 years of LGM ice sheet build-up, the terrestrial carbon inventory in the
areas to be occupied by the ice sheets increases by between 6 and 444 PgC,
yielding LGM “ice sheet or burial” carbon inventories between 318 and 1341 PgC (Table 5). This increase accounts for less than half of the total LGM
change in terrestrial carbon (i.e. <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula>) in the majority
of simulations. However, if this burial carbon were to have been destroyed
rather than preserved, <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> would be negative in all but three
simulations, as opposed to positive in all but one simulation (Table 5).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e6226">Ice sheet and non-ice-sheet terrestrial carbon stocks in <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Columns 2 and 5 show the amount of carbon stored in areas covered by the Eurasian and Laurentide ice sheets (“ice sheet”) during the pre-industrial and LGM periods, respectively. Column 3 is the difference between the two inventories. Column 4 is the LGM change in carbon in ice sheet areas expressed as a percentage of the total LGM terrestrial carbon change. Column 6 is the LGM change in carbon outside of the ice sheets.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">EM</oasis:entry>
         <oasis:entry colname="col2">PRE</oasis:entry>
         <oasis:entry colname="col3">LGM-PRE</oasis:entry>
         <oasis:entry colname="col4">% LGM-PRE</oasis:entry>
         <oasis:entry colname="col5">LGM burial</oasis:entry>
         <oasis:entry colname="col6">LGM-PRE</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ice sheet</oasis:entry>
         <oasis:entry colname="col3">ice sheet</oasis:entry>
         <oasis:entry colname="col4">total land</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">non-ice-sheet</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">442</oasis:entry>
         <oasis:entry colname="col2">456</oasis:entry>
         <oasis:entry colname="col3">117</oasis:entry>
         <oasis:entry colname="col4">51</oasis:entry>
         <oasis:entry colname="col5">573</oasis:entry>
         <oasis:entry colname="col6">111</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">873</oasis:entry>
         <oasis:entry colname="col2">896</oasis:entry>
         <oasis:entry colname="col3">444</oasis:entry>
         <oasis:entry colname="col4">29</oasis:entry>
         <oasis:entry colname="col5">1341</oasis:entry>
         <oasis:entry colname="col6">1089</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">511</oasis:entry>
         <oasis:entry colname="col2">677</oasis:entry>
         <oasis:entry colname="col3">262</oasis:entry>
         <oasis:entry colname="col4">32</oasis:entry>
         <oasis:entry colname="col5">939</oasis:entry>
         <oasis:entry colname="col6">567</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">99</oasis:entry>
         <oasis:entry colname="col2">372</oasis:entry>
         <oasis:entry colname="col3">33</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">405</oasis:entry>
         <oasis:entry colname="col6">130</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">871</oasis:entry>
         <oasis:entry colname="col2">404</oasis:entry>
         <oasis:entry colname="col3">149</oasis:entry>
         <oasis:entry colname="col4">26</oasis:entry>
         <oasis:entry colname="col5">553</oasis:entry>
         <oasis:entry colname="col6">425</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">786</oasis:entry>
         <oasis:entry colname="col2">502</oasis:entry>
         <oasis:entry colname="col3">131</oasis:entry>
         <oasis:entry colname="col4">21</oasis:entry>
         <oasis:entry colname="col5">633</oasis:entry>
         <oasis:entry colname="col6">486</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">107</oasis:entry>
         <oasis:entry colname="col2">540</oasis:entry>
         <oasis:entry colname="col3">86</oasis:entry>
         <oasis:entry colname="col4">22</oasis:entry>
         <oasis:entry colname="col5">626</oasis:entry>
         <oasis:entry colname="col6">310</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">701</oasis:entry>
         <oasis:entry colname="col2">549</oasis:entry>
         <oasis:entry colname="col3">161</oasis:entry>
         <oasis:entry colname="col4">36</oasis:entry>
         <oasis:entry colname="col5">710</oasis:entry>
         <oasis:entry colname="col6">283</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">801</oasis:entry>
         <oasis:entry colname="col2">707</oasis:entry>
         <oasis:entry colname="col3">275</oasis:entry>
         <oasis:entry colname="col4">39</oasis:entry>
         <oasis:entry colname="col5">982</oasis:entry>
         <oasis:entry colname="col6">423</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">219</oasis:entry>
         <oasis:entry colname="col2">312</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">16</oasis:entry>
         <oasis:entry colname="col5">318</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">694</oasis:entry>
         <oasis:entry colname="col2">389</oasis:entry>
         <oasis:entry colname="col3">95</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
         <oasis:entry colname="col5">484</oasis:entry>
         <oasis:entry colname="col6">227</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">623</oasis:entry>
         <oasis:entry colname="col2">697</oasis:entry>
         <oasis:entry colname="col3">181</oasis:entry>
         <oasis:entry colname="col4">36</oasis:entry>
         <oasis:entry colname="col5">879</oasis:entry>
         <oasis:entry colname="col6">319</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">522</oasis:entry>
         <oasis:entry colname="col2">713</oasis:entry>
         <oasis:entry colname="col3">210</oasis:entry>
         <oasis:entry colname="col4">28</oasis:entry>
         <oasis:entry colname="col5">923</oasis:entry>
         <oasis:entry colname="col6">531</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">863</oasis:entry>
         <oasis:entry colname="col2">408</oasis:entry>
         <oasis:entry colname="col3">73</oasis:entry>
         <oasis:entry colname="col4">16</oasis:entry>
         <oasis:entry colname="col5">480</oasis:entry>
         <oasis:entry colname="col6">380</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">478</oasis:entry>
         <oasis:entry colname="col2">573</oasis:entry>
         <oasis:entry colname="col3">165</oasis:entry>
         <oasis:entry colname="col4">41</oasis:entry>
         <oasis:entry colname="col5">739</oasis:entry>
         <oasis:entry colname="col6">233</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">837</oasis:entry>
         <oasis:entry colname="col2">784</oasis:entry>
         <oasis:entry colname="col3">395</oasis:entry>
         <oasis:entry colname="col4">33</oasis:entry>
         <oasis:entry colname="col5">1179</oasis:entry>
         <oasis:entry colname="col6">796</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e6668">Most of the terrestrial carbon increase in areas to be covered by the ice
sheets in <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is due to soil carbon, with
vegetation carbon decreasing in all but one simulation. The range
of terrestrial carbon increases and the associated burial carbon amounts
include Zeng (2003)'s estimates. Our LGM burial carbon estimates would also
accommodate<?pagebreak page1050?> an additional 250–550 PgC (Franzen, 1994) from increased glacial
peat accumulation (Zeng, 2003). No observational data-based estimates of the
LGM burial carbon inventory are available since only limited evidence exists
for organic material being preserved by ice during glaciations (Franzen,
1994, and references in Weitemeyer and Buffett, 2006). Outside of
the ice sheets, increases in the terrestrial carbon inventory in
<inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are mostly due to soil carbon, which
increases in all simulations. Vegetation carbon, conversely, decreases in
the majority of simulations. Our range of carbon changes outside of the ice
sheet areas include the 198 PgC increase predicted by Zeng (2003) as a
result of reduced soil respiration.</p>
      <p id="d1e6693">Although not evaluated directly, it is likely that similar ice sheet/non-ice-sheet
terrestrial carbon proportions than in <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
are found in <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> because of the similar climate change
distributions in all three instances (see earlier sections). Although not
shown here, the spatial distribution of <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> in
<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is also similar to that of the
<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (and <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> mean.
The spatial distribution of <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> in
<inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is shown in Fig. 11.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e6799">LGM vegetation <bold>(a–b)</bold>, soil <bold>(c–d)</bold> and total terrestrial carbon
changes <bold>(e–f)</bold> <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <bold>(a, c)</bold> and standard deviation <bold>(b, d)</bold>. Units are kgC m<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f11.png"/>

          </fig>

      <p id="d1e6847">The largest increases in terrestrial carbon (<inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are found in North America and Europe/western
Asia, both within and south of the Laurentide and Eurasian ice sheet margins
(Fig. 11). Regions with smaller but still relatively large (<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M423" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) increases include the Andes and Patagonia
regions, the southern tip of the African continent, eastern north Siberia
and the grid cells just south of the Tibetan Plateau. The largest LGM
decreases in terrestrial carbon (<inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M425" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) conversely tend to be found in northwest North
America, Beringia and the Tibetan Plateau region. Other regions with
relatively large (<inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M427" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
decreases include equatorial Africa and the deserts in central Asia.
Everywhere else the LGM terrestrial carbon density increases by between 0
and 10 kgC m<inline-formula><mml:math id="M428" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Comparison against paleoecological
reconstruction studies (Crowley, 1995) suggests that the simulated
terrestrial carbon changes within the<?pagebreak page1051?> Laurentide and Eurasian ice sheet
areas are of the wrong sign, except in northwest North America, since these
studies assume the complete destruction of vegetation and soils in ice sheet
areas. Discrepancies between the <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
observations further arise from the rainforest regions, where the ensemble
mean predicts terrestrial biosphere carbon density changes between <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> and 10 kgC m<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, well above observed changes of <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M433" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. It is important to note, however,
that as suggested in Zeng (2007), the rate of decomposition of soil carbon
at the LGM may have been slower than assumed in pollen data-based studies.
The largest increases in terrestrial carbon density (<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> kgC m<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) produced by the ensemble mean are comparable to
those found in areas with permafrost growth (Zimov et al., 2006). However,
the peaks are potentially misplaced, being located within and south of the
Laurentide and Eurasian ice sheet covered areas, rather than in eastern
Siberia and Alaska. Alternatively, terrestrial carbon increases in eastern
Siberia and Alaska are simply underestimated in the ensemble mean and large
increases in terrestrial carbon indeed took place within the ice sheet areas
during glacial periods.</p>
      <p id="d1e7031">The large LGM decreases in terrestrial carbon in northwest North America and
adjacent Beringia are likely caused by precipitation decreasing
comparatively more than SAT and causing the decrease in photosynthesis to
exceed the decrease in soil respiration. However, it is also noteworthy
that, although not shown here, the regions with the largest decreases in
terrestrial carbon density, namely northwest North America, Beringia and the
Tibetan Plateau area, are also the regions with the largest terrestrial
carbon densities in the pre-industrial <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean.
We further note that the Tibetan soil carbon peak is overestimated in the
latter, and the North American soil carbon peak misplaced, compared to
observations. We attribute the first discrepancy to the lack of soil
weathering in the model and the inclusion of land use effects in the
observational data-based estimate (Holden et al., 2013b; Williamson et al.,
2006). The second discrepancy is attributed to the lack of explicit
representation of permafrost and the absence of moisture control on soil
respiration (Williamson et al., 2006).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS3">
  <label>3.2.3</label><title>Ocean primary productivity</title>
      <p id="d1e7053">The <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean LGM total POC export flux anomaly
(<inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">POC</mml:mi><mml:mi mathvariant="normal">exp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> PgC yr<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the range is <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.57</mml:mn></mml:mrow></mml:math></inline-formula> to 2.56 PgC yr<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, roughly consistent with previous model-based
estimates (e.g. Brovkin et al., 2002, 2007; Bopp et al., 2003;  Chikamoto et al., 2012; Palastanga et al., 2013; Schmittner and Somes,
2016; Buchanan et al., 2016). As shown in Fig. 12, compared to
<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the POC flux decreases in
<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tend to
be smaller and larger, respectively. <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">POC</mml:mi><mml:mi mathvariant="normal">exp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is positively correlated with
<inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.72</mml:mn></mml:mrow></mml:math></inline-formula> and 0.79) and
negatively correlated with <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>min⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula>) in both <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The correlations potentially suggest that
decreasing AMOC strength and increasing AABW production led to decreasing
POC export. One possible mechanism is enhanced deep ocean stratification due
to increasing AABW formation leading to not only more efficient trapping of
DIC at depth (see above) but also nutrients and therefore reduced
availability in the euphotic zone. All else held constant, a weaker and
shallower<?pagebreak page1052?> AMOC cell would also inhibit the transfer of nutrients from the
deep ocean to the surface. A negative correlation can additionally be found
between <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">POC</mml:mi><mml:mi mathvariant="normal">exp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">SIA</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>), probably because no primary production occurs
beneath the sea ice surface. Increasing sea ice area at the LGM therefore
leads to decreasing POC export flux. This would also explain the largest
<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean decreases in POC export flux, shown in
Fig. 13, coinciding with increases in sea ice fraction.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e7321">LGM change in POC export flux distributions.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f12.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13" specific-use="star"><?xmltex \currentcnt{13}?><label>Figure 13</label><caption><p id="d1e7332">LGM surface POC export flux change (molC m<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
<inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <bold>(a)</bold> and standard
deviation <bold>(b)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f13.png"/>

          </fig>

      <?pagebreak page1053?><p id="d1e7383">The largest <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> LGM increases in POC export flux
conversely occur at around 50<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, roughly in front of the
Antarctic sea ice margins. Increases in POC export are also simulated close
to the North Pacific and Atlantic sea ice margins, as well as in the eastern
equatorial Pacific and the southwest Atlantic upwelling region. The
increases in POC export flux at the sea ice margins are likely caused by the
advection of unutilised nutrients from underneath the sea ice. However, they
may additionally be due to the enhanced iron availability from the increased
supply of aeolian dust, particularly in the Southern Ocean and North Pacific
since these are strongly limited by iron (Ridgwell et al., 2007). Iron
fertilisation may also explain the increases in POC export flux in the
eastern equatorial Pacific and in the southwest Atlantic upwelling region.
Comparison against observations suggests that the ensemble mean POC flux
changes immediately north, and south of the Antarctic sea ice margins align
with observations of increased and reduced marine productivity in the
subantarctic (<inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> to 60<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and Southern Ocean,
respectively (Kohfeld, 2005; Kohfeld et al., 2013; Jaccard et al.,
2013; Martínez-García et al., 2014). The simulated decreases in
export flux in the Arctic and subarctic Atlantic (i.e. above approximately 50<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), and the increases in export flux immediately south of
50<inline-formula><mml:math id="M467" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N are also in agreement with previous reconstructions (Kohfeld, 2005; Radi and de Vernal, 2008). The mostly lower LGM export fluxes
at the Equator and in the South Atlantic are conversely inconsistent with
the observational data of Kohfeld (2005). The decreases may be
caused by the increases in productivity in high-nutrient, low-chlorophyll (HNLC) regions reducing the
phosphate (the other limiting nutrient in GENIE-1 besides iron) availability
for photosynthesis in other regions. They may additionally be due to the
model not simulating enhanced nutrient inventories in response to enhanced
weathering or reduced shallower water deposition of organic matter. The
model also does not vary wind speed, which may have resulted in stronger
tropical upwelling in the Atlantic at the LGM. The evidence is more
ambiguous (or missing) for the Pacific (Jaccard et al., 2010; Kohfeld and
Chase, 2011; Kohfeld, 2005; Costa et al., 2016) and Indian oceans
(Kohfeld, 2005; Singh et al., 2011) and is therefore not discussed in
more detail here.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><?xmltex \currentcnt{14}?><label>Figure 14</label><caption><p id="d1e7446">Land-to-ocean bicarbonate flux scaling factor (GWS) distributions.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f14.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS4">
  <label>3.2.4</label><title>Carbonate weathering and shallow water deposition</title>
      <p id="d1e7463">The <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean land-to-ocean bicarbonate flux
scaling factor (GWS) is <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.16</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula> (corresponding to a
percentage change in the land-to-ocean bicarbonate flux, %LOC, of 38.67),
and the range is 0.52 to 1.5 (corresponding to a %LOC between <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49.33</mml:mn></mml:mrow></mml:math></inline-formula> and
50). As shown in Fig. 14, the GWS in <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tends
to be larger than in <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and smaller than in
<inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. There is also a negative correlation between
GWS and <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.52</mml:mn></mml:mrow></mml:math></inline-formula>) in
<inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, suggesting that increasing the input of
bicarbonate to the ocean leads to a decrease in <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
by raising the inventories of ALK and DIC in a <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ratio. In
<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, however, <inline-formula><mml:math id="M480" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is below the 0.05 significance
level, suggesting that it is less important.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><?xmltex \currentcnt{15}?><label>Figure 15</label><caption><p id="d1e7615">LGM change in deep-sea sediment
<inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux distributions.</p></caption>
            <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f15.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16" specific-use="star"><?xmltex \currentcnt{16}?><label>Figure 16</label><caption><p id="d1e7637">LGM deep-sea <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
burial rate change (mol cm<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
<inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean <bold>(a)</bold> and standard
deviation <bold>(b)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/15/1039/2019/cp-15-1039-2019-f16.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS2.SSS5">
  <label>3.2.5</label><title>Deep-sea carbonate burial</title>
      <?pagebreak page1054?><p id="d1e7707">The <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean global deep-sea
<inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux anomaly (<inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">bur</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.036</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.045</mml:mn></mml:mrow></mml:math></inline-formula> PgC yr<inline-formula><mml:math id="M490" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the range is
<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.098</mml:mn></mml:mrow></mml:math></inline-formula> to 0.139 PgC yr<inline-formula><mml:math id="M492" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The mean value is approximately 3 times larger than the
observed value (Catubig et al., 1998), although the latter still falls
within the range of simulated values. As shown in Fig. 15, <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">bur</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tends
to be higher than in <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and lower than in
<inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">16</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The change in global deep-sea
<inline-formula><mml:math id="M497" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux anomaly is strongly determined by
GWS, as suggested by the positive correlation (<inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula> and 0.9) between
the two, in both <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Increasing %LOC (the percentage change
in the land-to-ocean bicarbonate flux) should indeed enhance the
<inline-formula><mml:math id="M501" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux as increasing ALK means the deep
ocean <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> will eventually increase.
The latter in turn would cause the saturation horizon to fall, allowing
<inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to accumulate over greater areas (which are
now exposed to undersaturated waters) (Sigman and Boyle, 2000). The input of
ALK to the surface ocean would also increase the rate of
<inline-formula><mml:math id="M504" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export production (enhancing the sediment
deposition flux of <inline-formula><mml:math id="M505" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), since as discussed in
Chikamoto et al. (2008), the latter is proportional to the production rate
of POC (which is equal to the POC export flux), together with the sea
surface saturation state with respect to <inline-formula><mml:math id="M506" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, in
GENIE-1. There is indeed also a positive correlation between %LOC and the
global change in <inline-formula><mml:math id="M507" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> export flux (<inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula> and 0.4),
and between the latter and <inline-formula><mml:math id="M509" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">bur</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula> and 0.45) in both <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">315</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e8039">The <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ENS</mml:mi><mml:mn mathvariant="normal">104</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean spatial distribution of
<inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mrow><mml:msub><mml:mn mathvariant="normal">3</mml:mn><mml:mi mathvariant="normal">bur</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is shown in Fig. 16.
Relatively large increases in burial flux (<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> mol cm<inline-formula><mml:math id="M516" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M517" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) can be
found at around 50<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, in the North Pacific and to a lesser
extent the North Atlantic. In other regions, the burial flux is
significantly lower or negative, with the largest losses (<inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> mol cm<inline-formula><mml:math id="M520" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) occurring in the North Atlantic and arctic
regions. The only exception is the western North Atlantic, which exhibits a
large increase in burial. A comparison of the results against the
reconstructions of Catubig et al. (1998) is somewhat difficult, as the
coverage is poor but overall <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial was
higher in the North Atlantic and the Pacific, and lower in the tropical and
South Atlantic, and the Indian Ocean and Southern Ocean.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS6">
  <label>3.2.6</label><title>Other paleoproxies</title>
      <p id="d1e8190">As shown in Table 4, a frequent argument for a lower glacial terrestrial
carbon inventory is the reconstructed mean glacial ocean <inline-formula><mml:math id="M523" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> value of approximately 0.35 ‰ lower than present
due to the fact that plants discriminate against <inline-formula><mml:math id="M524" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during photosynthesis. In our simulations, conversely, it
follows that the increase in glacial terrestrial carbon inventory would have
resulted in an increase in ocean <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Decreasing SSTs
and increasing <inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering would have,
moreover, likely raised it further (in the first instance, by enhancing
fractionation at the air–sea interface, and in the second instance, through
the input of isotopically heavy weathering products). However, as noted in
Zeng (2007), the interpretation of the <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> value
can be complicated by factors such as the impact of enhanced glacial
carbonate ion concentrations on <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in
foramifera shells (Lea et al., 1999). In addition, there are other processes
in our model which may have counteracted at least part of the increase in
ocean <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. These include reduced marine
productivity (e.g. Zimov et al., 2009), as phytoplankton discriminate
against <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during photosynthesis, giving the
marine organic carbon reservoir a low <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.
However, we note that the sign of this impact would additionally depend on
the associated changes in organic matter remineralisation and burial.
Another relevant process is greater sea ice area, which can lower the ocean
<inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> by reducing the air–sea gas exchange and
therefore the net transfer of <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> into the ocean
(Stephen and Keeling, 2000). Moreover, we propose that adding missing
processes could have decreased ocean <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> even
further. These include weaker surface winds (while in our model these are
fixed), again through reduced air–sea gas exchange (Menviel et al., 2015),
as well as enhanced weathering and reduced deposition of organic carbon at
continental margins due to lower sea levels (Wallmann, 2014). Yet, further
research is required here as one recent study suggests that taking into
account these processes would most likely not (the possibility is not
completely ruled out) allow reconciliation of a positive <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">TerrC</mml:mi></mml:mrow></mml:math></inline-formula> with the observed mean glacial ocean <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> value (Jeltsch-Thömmes et al., 2019).</p>
      <p id="d1e8369">Missing processes would likely also be needed to reconcile our lower POC
export fluxes with deep ocean oxygen records. These records tend to indicate
there was a decrease in LGM deep ocean oxygen concentration (Jaccard et al.,
2016). Lower POC export fluxes would conversely have resulted in an increase
in deep ocean oxygen due to reduced oxygen consumption at depth. When
observed over sufficiently large areas, lower oxygen concentrations can
support the presence of an enhanced ocean carbon inventory as deoxygenation
can be explained by reduced ocean ventilation (the sole input of oxygen is
from the ocean surface) (Wagner and Hendy, 2015). The reduced ventilation
is, in turn, assumed to have led to the accumulation of a significant amount
of DIC in the ocean interior. Thus, explaining the lower deep ocean oxygen
concentrations without having to reduce ocean ventilation as extensively as
suggested by previous studies would as a minimum likely require LGM export
production to have increased rather than decreased. However, it may be
possible to increase deep ocean oxygen consumption by increasing organic
matter at depth but keeping the surface POC export flux constant. This would
require adding missing processes such as increasing remineralisation depth
with decreasing ocean temperature and increasing ballasting<?pagebreak page1055?> into our model
(Kohfeld and Ridgwell, 2009; Menviel et al., 2012).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e8382">We have used an uncertainty-based approach to investigating the LGM
atmospheric <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> drop by simulating it with a large
ensemble of parameter sets and exploring the range of possible responses.
Despite our ensemble varying many of the parameters thought to contribute to
variability in glacial–interglacial atmospheric
<inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we estimated that up to <inline-formula><mml:math id="M539" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60 ppmv of <inline-formula><mml:math id="M540" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be attributed to processes
not included in our model and error in our process representations. As a
result, we treated <inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> between
<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ppmv as equally plausible and focused on
describing the responses of the subset of simulations with
this <inline-formula><mml:math id="M544" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. We found the range of responses to
be large, including the presence of five different ways of achieving a
plausible <inline-formula><mml:math id="M545" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in terms of the sign of
individual carbon reservoir changes. However, several dominant changes could
be detected. Namely, the LGM atmospheric <inline-formula><mml:math id="M546" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
decrease tended to predominantly be associated with decreasing SSTs,
increasing sea ice area, a weakening of the AMOC, a strengthening of the
AABW cell in the Atlantic Ocean, a decreasing ocean biological productivity,
an increasing <inline-formula><mml:math id="M547" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> weathering flux and an
increasing deep-sea <inline-formula><mml:math id="M548" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> burial flux. The majority
of our simulations also predicted an increase in terrestrial carbon, coupled
with a decrease in ocean and an increase in lithospheric carbon<inline-formula><mml:math id="M549" display="inline"><mml:mo>.</mml:mo></mml:math></inline-formula> The increase
in terrestrial carbon, which is uncommon in LGM simulations, was attributed
to reduced soil respiration in response to the climate forcings, as well as
our choice to preserve rather than destroy carbon that accumulates in ice
sheet areas. The dominant changes were broadly in agreement with
observations and paleoproxies other than carbon isotope and oxygen data,
which we did not evaluate directly. However, we advise more detailed
comparisons in future studies. It is also likely that our results can only
be reconciled with carbon isotope and oxygen data if processes currently
missing from our model are taken into account.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e8536">GENIE-1 was checked out via <uri>https://source.ggy.bris.ac.uk/wiki/GENIE</uri> (last access: May 2019) using
Subversion (SVN). The simulations described here are with release version
2-8-0. In addition to the source code, several packages and applications
such as the NetCDF libraries are required by GENIE-1 (University of Bristol
Geography Source, 2014).</p>

      <p id="d1e8542">The way in which GENIE-1 is run manually is as described in Ridgwell (2012)
for the GENIE developmental variant cGENIE: the basic flavour and
configuration of GENIE-1 is run from <monospace><inline-formula><mml:math id="M550" display="inline"><mml:mo mathvariant="normal">∼</mml:mo></mml:math></inline-formula>/genie/genie-main</monospace> by
issuing the command

            <disp-formula id="Ch1.Ex1"><mml:math id="M551" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext mathvariant="monospace">./genie.job</mml:mtext></mml:mrow></mml:math></disp-formula>

      <monospace>genie.job</monospace> is a shell script which determines the basic (“base”)
configuration of the model. A different flavour and configuration of the
model is obtained by specifying a different base configuration file:

            <disp-formula id="Ch1.Ex2"><mml:math id="M552" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext mathvariant="monospace">./genie.job -f example.xml</mml:mtext></mml:mrow></mml:math></disp-formula>

      where <monospace>example.xml</monospace> is a specified model configuration <monospace>(/flavour) .xml</monospace> file
(Ridgwell, 2012).</p>

      <p id="d1e8582">The ensemble parameter sets required to repeat the experiments in this study
are available upon request to the corresponding author
(krista.kemppinen@asu.edu).</p>
  </notes><?xmltex \hack{\clearpage}?><app-group>

<?pagebreak page1056?><app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title>The OLR feedback parameter</title>
      <p id="d1e8596">The ensemble parameter OL1 is varied through all stages but stage 1. OL1
describes the unmodelled response of clouds to global average temperature
change and corresponds to the <inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">LW</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> constant in the
equation below (Eq. 1 in Holden et al., 2010a):

              <disp-formula id="App1.Ch1.S1.E1" content-type="numbered"><label>A1</label><mml:math id="M554" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msubsup><mml:mi>L</mml:mi><mml:mi mathvariant="normal">out</mml:mi><mml:mo>∗</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">LW</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">LW</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">out</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the unmodified “clear skies” OLR
term of Thompson and Warren (1982), <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">LW</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the
clear-sky outgoing long-wave radiation parameter (OL0), representing the
effects of clouds on the unmodified OLR (with <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mrow><mml:mi mathvariant="normal">LW</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>
only ever taking positive values), and <inline-formula><mml:math id="M558" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> corresponds to
the difference between the globally averaged surface air temperature and the
equilibrium pre-industrial temperature (Holden et al., 2010a).</p>
      <p id="d1e8731"><?xmltex \hack{\newpage}?>In stage 1, OL1 is set to zero and <inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be set to
any value. The temperatures simulated at the end of stage 1 are used to
define <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in stage 2 and in the LGM simulations.</p><?xmltex \hack{\clearpage}?><supplementary-material position="anchor"><p id="d1e8757">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-15-1039-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-15-1039-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8768">KMSK designed the experiments with guidance from PBH, NRE and AR. KMSK
carried them out and analysed the data. KMSK prepared the manuscript with
contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8774">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8780">This work made use of the Darwin Supercomputer of the University of
Cambridge High Performance Computing Service (HPCS). Krista M. S. Kemppinen thanks
staff at HPCS for their technical support, and Antara Banerjee and Alex Archibald for help with R.
The manuscript was greatly improved by comments
from an anonymous reviewer.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e8785">This research has been supported by the UK Natural Environment Research Council (NERC) through funding for the project DESIRE (grant no. NE/E007554/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8791">This paper was edited by Laurie Menviel and reviewed by Pearse Buchanan and two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Adams, J. M. and Faure, H.: A new estimate of changing carbon storage on
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    <!--<article-title-html>Coupled climate–carbon cycle simulation of the Last Glacial Maximum atmospheric CO<sub>2</sub> decrease using a large ensemble of modern plausible parameter sets</article-title-html>
<abstract-html><p>During the Last Glacial Maximum (LGM), atmospheric
CO<sub>2</sub> was around 90&thinsp;ppmv lower than during the
pre-industrial period. The reasons for this decrease are most often
elucidated through factorial experiments testing the impact of individual
mechanisms. Due to uncertainty in our understanding of the real system,
however, the different models used to conduct the experiments inevitably
take on different parameter values and different structures. In this paper,
the objective is therefore to take an uncertainty-based approach to
investigating the LGM CO<sub>2</sub> drop by simulating it
with a large ensemble of parameter sets, designed to allow for a wide range
of large-scale feedback response strengths. Our aim is not to definitely
explain the causes of the CO<sub>2</sub> drop but rather
explore the range of possible responses. We find that the LGM
CO<sub>2</sub> decrease tends to predominantly be associated
with decreasing sea surface temperatures (SSTs), increasing sea ice area, a
weakening of the Atlantic Meridional Overturning Circulation (AMOC), a
strengthening of the Antarctic Bottom Water (AABW) cell in the Atlantic
Ocean, a decreasing ocean biological productivity, an increasing
CaCO<sub>3</sub> weathering flux and an increasing deep-sea
CaCO<sub>3</sub> burial flux. The majority of our simulations
also predict an increase in terrestrial carbon, coupled with a decrease in
ocean and increase in lithospheric carbon. We attribute the increase in
terrestrial carbon to a slower soil respiration rate, as well as the
preservation rather than destruction of carbon by the LGM ice sheets. An
initial comparison of these dominant changes with observations and
paleoproxies other than carbon isotope and oxygen data (not evaluated
directly in this study) suggests broad agreement. However, we advise more
detailed comparisons in the future, and also note that, conceptually at
least, our results can only be reconciled with carbon isotope and oxygen
data if additional processes not included in our model are brought into
play.</p></abstract-html>
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