<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">GMD</journal-id>
<journal-title-group>
<journal-title>Geoscientific Model Development</journal-title>
<abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1991-9603</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/gmd-7-419-2014</article-id>
<title-group>
<article-title>Can sparse proxy data constrain the strength of the Atlantic meridional overturning circulation?</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Kurahashi-Nakamura</surname>
<given-names>T.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Losch</surname>
<given-names>M.</given-names>
<ext-link>https://orcid.org/0000-0002-3824-5244</ext-link>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Paul</surname>
<given-names>A.</given-names>
<ext-link>https://orcid.org/0000-0003-1961-139X</ext-link>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>MARUM &amp;ndash; Center for Marine Environmental Sciences and Faculty of Geosciences, University of Bremen, Bremen, Germany</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Alfred Wegener Institute for Polar and Marine Research, Bremerhaven, Germany</addr-line>
</aff>
<pub-date pub-type="epub">
<day>26</day>
<month>02</month>
<year>2014</year>
</pub-date>
<volume>7</volume>
<issue>1</issue>
<fpage>419</fpage>
<lpage>432</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2014 T. Kurahashi-Nakamura et al.</copyright-statement>
<copyright-year>2014</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://gmd.copernicus.org/articles/7/419/2014/gmd-7-419-2014.html">This article is available from https://gmd.copernicus.org/articles/7/419/2014/gmd-7-419-2014.html</self-uri>
<self-uri xlink:href="https://gmd.copernicus.org/articles/7/419/2014/gmd-7-419-2014.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/7/419/2014/gmd-7-419-2014.pdf</self-uri>
<abstract>
<p>In a feasibility study, the potential of proxy data for the temperature and
salinity during the Last Glacial Maximum (LGM, about 19 000 to
23 000 years before
present) in constraining the strength of the Atlantic meridional overturning
circulation (AMOC) with a general ocean circulation model was explored. The
proxy data were simulated by drawing data from four different model
simulations at the ocean sediment core locations of the Multiproxy Approach
for the Reconstruction of the Glacial Ocean surface (MARGO) project, and
perturbing these data with realistic noise estimates. The results suggest
that our method has the potential to provide estimates of the past strength
of the AMOC even from sparse data, but in general, paleo-sea-surface
temperature data without additional prior knowledge about the ocean state
during the LGM is not adequate to constrain the model. On the one hand,
additional data in the deep-ocean and salinity data are shown to be highly
important in estimating the LGM circulation. On the other hand, increasing
the amount of surface data alone does not appear to be enough for better
estimates. Finally, better initial guesses to start the state estimation
procedure would greatly improve the performance of the method. Indeed, with
a sufficiently good first guess, just the sea-surface temperature data from
the MARGO project promise to be sufficient for reliable estimates of the
strength of the AMOC.</p>
</abstract>
<counts><page-count count="14"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Adcroft, A., Campin, J.-M., Hill, C., and Marshall, J.: Implementation of an Atmosphere Ocean General Circulation Model on the Expanded Spherical Cube, Mon. Weather Rev., 132, 2845, &lt;a href=&quot;http://dx.doi.org/10.1175/MWR2823.1&quot;&gt;https://doi.org/10.1175/MWR2823.1&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Adkins, J. F., McIntyre, K., and Schrag, D. P.: The Salinity, Temperature, and δ&lt;sup&gt;18&lt;/sup&gt;O of the Glacial Deep Ocean, Science, 298, 1769–1773, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1076252&quot;&gt;https://doi.org/10.1126/science.1076252&lt;/a&gt;, 2002.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Archer, D.: Modeling the calcite Lysocline, J. Geophys. Res., 96, 17037, &lt;a href=&quot;http://dx.doi.org/10.1029/91JC01812&quot;&gt;https://doi.org/10.1029/91JC01812&lt;/a&gt;, 1991.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Archer, D., Winguth, A., Lea, D., and Mahowald, N.: What caused the glacial/interglacial atmospheric pCO&lt;sub&gt;2&lt;/sub&gt; cycles?, Rev. Geophys., 38, 159–189, &lt;a href=&quot;http://dx.doi.org/10.1029/1999RG000066&quot;&gt;https://doi.org/10.1029/1999RG000066&lt;/a&gt;, 2000.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Ashkenazy, Y., Losch, M., Gildor, H., Mirzayof, D., and Tziperman, E.: Multiple sea-ice states and abrupt MOC transitions in a general circulation ocean model, Clim. Dyanm., 40, 1803–1817, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-012-1546-2&quot;&gt;https://doi.org/10.1007/s00382-012-1546-2&lt;/a&gt;, 2013.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Burke, A., Marchal, O., Bradtmiller, L. I., McManus, J. F., and François, R.: Application of an inverse method to interpret &lt;sup&gt;231&lt;/sup&gt;Pa/&lt;sup&gt;230&lt;/sup&gt;Th observations from marine sediments, Paleoceanography, 26, PA1212, &lt;a href=&quot;http://dx.doi.org/10.1029/2010PA002022&quot;&gt;https://doi.org/10.1029/2010PA002022&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Clark, P. U., Marshall, S. J., Clarke, G. K. C., Hostetler, S. W., Licciardi, J. M., and Teller, J. T.: Freshwater Forcing of Abrupt Climate Change During the Last Glaciation, Science, 293, 283–287, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1062517&quot;&gt;https://doi.org/10.1126/science.1062517&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Curry, W. B. and Oppo, D. W.: Glacial water mass geometry and the distribution of δ&lt;sup&gt;13&lt;/sup&gt;C of ΣCO&lt;sub&gt;2&lt;/sub&gt; in the western Atlantic Ocean, Paleoceanography, 20, PA1017, &lt;a href=&quot;http://dx.doi.org/10.1029/2004PA001021&quot;&gt;https://doi.org/10.1029/2004PA001021&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Dail, H. J.: Atlantic Ocean Circulation at the Last Glacial Maximum: Inferences from Data and Models, Ph.D. thesis, Massachusetts Institute of Technology, Massachusetts and the Woods Hole Oceanographic Institution, Massachusetts, 2012.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Epica Community Members, Barbante, C., Barnola, J.-M., Becagli, S., Beer, J., Bigler, M., Boutron, C., Blunier, T., Castellano, E., Cattani, O., Chappellaz, J., Dahl-Jensen, D., Debret, M., Delmonte, B., Dick, D., Falourd, S., Faria, S., Federer, U., Fischer, H., Freitag, J., Frenzel, A., Fritzsche, D., Fundel, F., Gabrielli, P., Gaspari, V., Gersonde, R., Graf, W., Grigoriev, D., Hamann, I., Hansson, M., Hoffmann, G., Hutterli, M. A., Huybrechts, P., Isaksson, E., Johnsen, S., Jouzel, J., Kaczmarska, M., Karlin, T., Kaufmann, P., Kipfstuhl, S., Kohno, M., Lambert, F., Lambrecht, A., Lambrecht, A., Landais, A., Lawer, G., Leuenberger, M., Littot, G., Loulergue, L., Lüthi, D., Maggi, V., Marino, F., Masson-Delmotte, V., Meyer, H., Miller, H., Mulvaney, R., Narcisi, B., Oerlemans, J., Oerter, H., Parrenin, F., Petit, J.-R., Raisbeck, G., Raynaud, D., Röthlisberger, R., Ruth, U., Rybak, O., Severi, M., Schmitt, J., Schwander, J., Siegenthaler, U., Siggaard-Andersen, M.-L., Spahni, R., Steffensen, J. P., Stenni, B., Stocker, T. F., Tison, J.-L., Traversi, R., Udisti, R., Valero-Delgado, F., van den Broeke, M. R., van de Wal, R. S. W., Wagenbach, D., Wegner, A., Weiler, K., Wilhelms, F., Winther, J.-G., and Wolff, E.: One-to-one coupling of glacial climate variability in Greenland and Antarctica, Nature, 444, 195–198, &lt;a href=&quot;http://dx.doi.org/10.1038/nature05301&quot;&gt;https://doi.org/10.1038/nature05301&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Errico, R. M.: What Is an Adjoint Model?, B. Am. Meteorol. Soc., 78, 2577–2591, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0477(1997)078&lt;2577:WIAAM&gt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0477(1997)078&lt;2577:WIAAM&gt;2.0.CO;2&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Fischer, G. and Wefer, G.: Use of Proxies in Paleoceanography: Examples from the South Atlantic, Springer Berlin Heidelberg, available at: &lt;a href=&quot;http://books.google.de/books?id=e8lIokyIG7gC&quot;&gt;http://books.google.de/books?id=e8lIokyIG7gC&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">Ganopolski, A. and Rahmstorf, S.: Rapid changes of glacial climate simulated in a coupled climate model, Nature, 409, 153–158, &lt;a href=&quot;http://dx.doi.org/10.1038/35051500&quot;&gt;https://doi.org/10.1038/35051500&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Gebbie, G. and Huybers, P.: Meridional circulation during the Last Glacial Maximum explored through a combination of South Atlantic δ&lt;sup&gt;18&lt;/sup&gt;O observations and a geostrophic inverse model, Geochem. Geophy. Geosys., 7, Q11N07, &lt;a href=&quot;http://dx.doi.org/10.1029/2006GC001383&quot;&gt;https://doi.org/10.1029/2006GC001383&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Gent, P. R. and McWilliams, J. C.: Isopycnal Mixing in Ocean Circulation Models, J. Phys. Oceanogr., 20, 150–160, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0485(1990)020&lt;0150:IMIOCM&gt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0485(1990)020&lt;0150:IMIOCM&gt;2.0.CO;2&lt;/a&gt;, 1990.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Gent, P. R., Willebrand, J., McDougall, T. J., and McWilliams, J. C.: Parameterizing Eddy-Induced Tracer Transports in Ocean Circulation Models, J. Phys. Oceanogr., 25, 463–474, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0485(1995)025&lt;0463:PEITTI&gt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0485(1995)025&lt;0463:PEITTI&gt;2.0.CO;2&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">Giering, R. and Kaminski, T.: Recipes for adjoint code construction, ACM Trans. Math. Softw., 24, 437–474, &lt;a href=&quot;http://dx.doi.org/10.1145/293686.293695&quot;&gt;https://doi.org/10.1145/293686.293695&lt;/a&gt;, 1998.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Gilbert, J. C. and Lemaréchal, C.: Some numerical experiments with variable-storage quasi-Newton algorithms, Math. Prog., 45, 407–435, &lt;a href=&quot;http://dx.doi.org/10.1007/BF01589113&quot;&gt;https://doi.org/10.1007/BF01589113&lt;/a&gt;, 1989.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Gildor, H. and Tziperman, E.: Physical mechanisms behind biogeochemical glacial-interglacial CO &lt;sub&gt;2&lt;/sub&gt; variations, Geophys. Res. Lett., 28, 2421–2424, &lt;a href=&quot;http://dx.doi.org/10.1029/2000GL012571&quot;&gt;https://doi.org/10.1029/2000GL012571&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Griffies, S. M., Biastoch, A., Böning, C., Bryan, F., Danabasoglu, G., Chassignet, E. P., England, M. H., Gerdes, R., Haak, H., Hallberg, R. W., Hazeleger, W., Jungclaus, J., Large, W. G., Madec, G., Pirani, A., Samuels, B. L., Scheinert, M., Gupta, A. S., Severijns, C. A., Simmons, H. L., Treguier, A. M., Winton, M., Yeager, S., and Yin, J.: Coordinated Ocean-ice Reference Experiments (COREs), Ocean Model., 26, 1–46, &lt;a href=&quot;http://dx.doi.org/10.1016/j.ocemod.2008.08.007&quot;&gt;https://doi.org/10.1016/j.ocemod.2008.08.007&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Heimbach, P., Hill, C., and Giering, R.: An efficient exact adjoint of the parallel MIT general circulation model, generated via automatic differentiation, Future Gener. Comput. Sy., 21, 1356–1371, &lt;a href=&quot;http://dx.doi.org/10.1016/j.future.2004.11.010&quot;&gt;https://doi.org/10.1016/j.future.2004.11.010&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Heimbach, P., Wunsch, C., Ponte, R. M., Forget, G., Hill, C., and Utke, J.: Timescales and regions of the sensitivity of Atlantic meridional volume and heat transport: Toward observing system design, Deep Sea Res.-Pt. II, 58, 1858–1879, &lt;a href=&quot;http://dx.doi.org/10.1016/j.dsr2.2010.10.065&quot;&gt;https://doi.org/10.1016/j.dsr2.2010.10.065&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Heslop, D. and Paul, A.: Fingerprinting of the Atlantic meridional overturning circulation in climate models to aid in the design of proxy investigations, Clim. Dynam., 38, 1047–1064, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-011-1042-0&quot;&gt;https://doi.org/10.1007/s00382-011-1042-0&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Huybers, P., Gebbie, G., and Marchal, O.: Can Paleoceanographic Tracers Constrain Meridional Circulation Rates?, J. Phys. Oceanogr., 37, 394, &lt;a href=&quot;http://dx.doi.org/10.1175/JPO3018.1&quot;&gt;https://doi.org/10.1175/JPO3018.1&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Keigwin, L. D. and Lehman, S. J.: Deep circulation change linked to HEINRICH Event 1 and Younger Dryas in a middepth North Atlantic Core, Paleoceanography, 9, 185–194, &lt;a href=&quot;http://dx.doi.org/10.1029/94PA00032&quot;&gt;https://doi.org/10.1029/94PA00032&lt;/a&gt;, 1994.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Kurahashi-Nakamura, T., Abe-Ouchi, A., and Yamanaka, Y.: Effects of physical changes in the ocean on the atmospheric &lt;i&gt;p&lt;/i&gt;CO&lt;sub&gt;2&lt;/sub&gt;: glacial-interglacial cycles, Clim. Dynam., 35, 713–719, &lt;a href=&quot;http://dx.doi.org/10.1007/s00382-009-0609-5&quot;&gt;https://doi.org/10.1007/s00382-009-0609-5&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Legrand, P. and Wunsch, C.: Constraints from paleotracer data on the North Atlantic circulation during the Last Glacial Maximum, Paleoceanography, 10, 1011–1045, &lt;a href=&quot;http://dx.doi.org/10.1029/95PA01455&quot;&gt;https://doi.org/10.1029/95PA01455&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Levitus, S. E.: Climatological atlas of the world ocean, NOAA Professional Paper 13, US Government Printing Office, Washington DC, 1982.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Lippold, J., Luo, Y., Francois, R., Allen, S. E., Gherardi, J., Pichat, S., Hickey, B., and Schulz, H.: Strength and geometry of the glacial Atlantic Meridional Overturning Circulation, Nat. Geosci., 5, 813–816, &lt;a href=&quot;http://dx.doi.org/10.1038/ngeo1608&quot;&gt;https://doi.org/10.1038/ngeo1608&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Losch, M., Menemenlis, D., Campin, J.-M., Heimbach, P., and Hill, C.: On the formulation of sea-ice models. Part 1: Effects of different solver implementations and parameterizations, Ocean Model., 33, 129–144, &lt;a href=&quot;http://dx.doi.org/10.1016/j.ocemod.2009.12.008&quot;&gt;https://doi.org/10.1016/j.ocemod.2009.12.008&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Lynch-Stieglitz, J., Curry, W. B., and Slowey, N.: A geostrophic transport estimate for the Florida Current from the oxygen isotope composition of benthic foraminifera, Paleoceanography, 14, 360–373, &lt;a href=&quot;http://dx.doi.org/10.1029/1999PA900001&quot;&gt;https://doi.org/10.1029/1999PA900001&lt;/a&gt;, 1999a.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Lynch-Stieglitz, J., Curry, W. B., and Slowey, N.: Weaker Gulf Stream in the Florida Straits during the Last Glacial Maximum, Nature, 402, 644–648, &lt;a href=&quot;http://dx.doi.org/10.1038/45204&quot;&gt;https://doi.org/10.1038/45204&lt;/a&gt;, 1999b.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Lynch-Stieglitz, J., Curry, W. B., Oppo, D. W., Ninneman, U. S., Charles, C. D., and Munson, J.: Meridional overturning circulation in the South Atlantic at the last glacial maximum, Geochem. Geophy. Geosys., 7, Q10N03, &lt;a href=&quot;http://dx.doi.org/10.1029/2005GC001226&quot;&gt;https://doi.org/10.1029/2005GC001226&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Manighetti, B. and McCave, I. N.: Late Glacial and Holocene palaeocurrents around Rockall Bank, NE Atlantic Ocean, Paleoceanography, 10, 611–626, &lt;a href=&quot;http://dx.doi.org/10.1029/94PA03059&quot;&gt;https://doi.org/10.1029/94PA03059&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">MARGO Project Members, Waelbroeck, C., Paul, A., Kucera, M., Rosell-Melé, A., Weinelt, M., Schneider, R., Mix, A. C., Abelmann, A., Armand, L., Bard, E., Barker, S., Barrows, T. T., Benway, H., Cacho, I., Chen, M.-T., Cortijo, E., Crosta, X., de Vernal, A., Dokken, T., Duprat, J., Elderfield, H., Eynaud, F., Gersonde, R., Hayes, A., Henry, M., Hillaire-Marcel, C., Huang, C.-C., Jansen, E., Juggins, S., Kallel, N., Kiefer, T., Kienast, M., Labeyrie, L., Leclaire, H., Londeix, L., Mangin, S., Matthiessen, J., Marret, F., Meland, M., Morey, A. E., Mulitza, S., Pflaumann, U., Pisias, N. G., Radi, T., Rochon, A., Rohling, E. J., Sbaffi, L., Schäfer-Neth, C., Solignac, S., Spero, H., Tachikawa, K., and Turon, J.-L.: Constraints on the magnitude and patterns of ocean cooling at the Last Glacial Maximum, Nat. Geosci., 2, 127–132, &lt;a href=&quot;http://dx.doi.org/10.1038/ngeo411&quot;&gt;https://doi.org/10.1038/ngeo411&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Marshall, J., Adcroft, A., Hill, C., Perelman, L., and Heisey, C.: A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers, J. Geophys. Res., 102, 5753–5766, &lt;a href=&quot;http://dx.doi.org/10.1029/96JC02775&quot;&gt;https://doi.org/10.1029/96JC02775&lt;/a&gt;, 1997.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">McCave, I. N. and Hall, I. R.: Size sorting in marine muds: Processes, pitfalls, and prospects for paleoflow-speed proxies, Geochem. Geophy. Geosys., 7, Q10N05, &lt;a href=&quot;http://dx.doi.org/10.1029/2006GC001284&quot;&gt;https://doi.org/10.1029/2006GC001284&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">McCave, I. N., Manighetti, B., and Beveridge, N. A. S.: Circulation in the glacial North Atlantic inferred from grain-size measurements, Nature, 374, 149–152, &lt;a href=&quot;http://dx.doi.org/10.1038/374149a0&quot;&gt;https://doi.org/10.1038/374149a0&lt;/a&gt;, 1995.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">McManus, J. F., Francois, R., Gherardi, J.-M., Keigwin, L. D., and Brown-Leger, S.: Collapse and rapid resumption of Atlantic meridional circulation linked to deglacial climate changes, Nature, 428, 834–837, &lt;a href=&quot;http://dx.doi.org/10.1038/nature02494&quot;&gt;https://doi.org/10.1038/nature02494&lt;/a&gt;, 2004.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Mix, A., Bard, E., and Schneider, R.: Environmental processes of the ice age: land, oceans, glaciers (EPILOG), Quaternary Sci. Rev., 20, 627–657, &lt;a href=&quot;http://dx.doi.org/10.1016/S0277-3791(00)00145-1&quot;&gt;https://doi.org/10.1016/S0277-3791(00)00145-1&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Negre, C., Zahn, R., Thomas, A. L., Masqué, P., Henderson, G. M., Mart\&apos;inez-Méndez, G., Hall, I. R., and Mas, J. L.: Reversed flow of Atlantic deep water during the Last Glacial Maximum, Nature, 468, 84–89, &lt;a href=&quot;http://dx.doi.org/10.1038/nature09508&quot;&gt;https://doi.org/10.1038/nature09508&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Oka, A., Hasumi, H., and Abe-Ouchi, A.: The thermal threshold of the Atlantic meridional overturning circulation and its control by wind stress forcing during glacial climate, Geophys. Res. Lett., 39, L09709, &lt;a href=&quot;http://dx.doi.org/10.1029/2012GL051421&quot;&gt;https://doi.org/10.1029/2012GL051421&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Otto-Bliesner, B. L., Hewitt, C. D., Marchitto, T. M., Brady, E., Abe-Ouchi, A., Crucifix, M., Murakami, S., and Weber, S. L.: Last Glacial Maximum ocean thermohaline circulation: PMIP2 model intercomparisons and data constraints, Geophys. Res. Lett., 34, L12706, &lt;a href=&quot;http://dx.doi.org/10.1029/2007GL029475&quot;&gt;https://doi.org/10.1029/2007GL029475&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Paul, A. and Losch, M.: Perspectives of parameter and state estimation in paleoclimatology, in: Climate Change, Proceedings of the Milutin Milankovitch 130th Anniversary Symposium, Part 2, edited by: Berger, A., Mesinger, F., and Šijački, D., 93–105, Springer, Heidelberg, 2012.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Paul, A. and Mulitza, S.: Challenges to Understanding Ocean Circulation During the Last Glacial Maximum, EOS Transactions, 90, 169–169, &lt;a href=&quot;http://dx.doi.org/10.1029/2009EO190004&quot;&gt;https://doi.org/10.1029/2009EO190004&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Paul, A. and Schäfer-Neth, C.: Modeling the water masses of the Atlantic Ocean at the Last Glacial Maximum, Paleoceanography, 18, 1058, &lt;a href=&quot;http://dx.doi.org/10.1029/2002PA000783&quot;&gt;https://doi.org/10.1029/2002PA000783&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Paul, A. and Schäfer-Neth, C.: How to combine sparse proxy data and coupled climate models, Quaternary Sci. Rev., 24, 1095–1107, &lt;a href=&quot;http://dx.doi.org/10.1016/j.quascirev.2004.05.010&quot;&gt;https://doi.org/10.1016/j.quascirev.2004.05.010&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Piotrowski, A. M., Goldstein, S. L., Hemming, S. R., and Fairbanks, R. G.: Temporal Relationships of Carbon Cycling and Ocean Circulation at Glacial Boundaries, Science, 307, 1933–1938, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1104883&quot;&gt;https://doi.org/10.1126/science.1104883&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Rahmstorf, S.: Rapid climate transitions in a coupled ocean-atmosphere model, Nature, 372, 82–85, &lt;a href=&quot;http://dx.doi.org/10.1038/372082a0&quot;&gt;https://doi.org/10.1038/372082a0&lt;/a&gt;, 1994.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Redi, M. H.: Oceanic Isopycnal Mixing by Coordinate Rotation, J. Phys. Oceanogr., 12, 1154–1158, &lt;a href=&quot;http://dx.doi.org/10.1175/1520-0485(1982)012&lt;1154:OIMBCR&gt;2.0.CO;2&quot;&gt;https://doi.org/10.1175/1520-0485(1982)012&lt;1154:OIMBCR&gt;2.0.CO;2&lt;/a&gt;, 1982.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Rohling, E. J.: Paleosalinity: confidence limits and future applications, Marine Geology, 163, 1–11, &lt;a href=&quot;http://dx.doi.org/10.1016/S0025-3227(99)00097-3&quot;&gt;https://doi.org/10.1016/S0025-3227(99)00097-3&lt;/a&gt;, 2000.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">Rutberg, R. L. and Peacock, S. L.: High-latitude forcing of interior ocean δ&lt;sup&gt;13&lt;/sup&gt;C, Paleoceanography, 21, PA2012, &lt;a href=&quot;http://dx.doi.org/10.1029/2005PA001226&quot;&gt;https://doi.org/10.1029/2005PA001226&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Schmidt, G. A.: Error analysis of paleosalinity calculations, Paleoceanography, 14, 422–429, &lt;a href=&quot;http://dx.doi.org/10.1029/1999PA900008&quot;&gt;https://doi.org/10.1029/1999PA900008&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Schmittner, A., Urban, N. M., Shakun, J. D., Mahowald, N. M., Clark, P. U., Bartlein, P. J., Mix, A. C., and Rosell-Melé, A.: Climate Sensitivity Estimated from Temperature Reconstructions of the Last Glacial Maximum, Science, 334, 1385–1388, &lt;a href=&quot;http://dx.doi.org/10.1126/science.1203513&quot;&gt;https://doi.org/10.1126/science.1203513&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Schulz, M., Seidov, D., Sarnthein, M., and Stattegger, K.: Modeling ocean-atmosphere carbon budgets during the Last Glacial Maximum-Heinrich 1 meltwater event-Bølling transition, International J. Earth Sci., 90, 412–425, &lt;a href=&quot;http://dx.doi.org/10.1007/s005310000136&quot;&gt;https://doi.org/10.1007/s005310000136&lt;/a&gt;, 2001.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">Solomon, S., Dahe, Q., and Manning, M.: Technical Summary, in: Climate Change 2007, Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by: Solomon, S., Qin, D., Manning, M., Chen, Z., Marquis, M., Averyt, K. B., Tignor, M., and Miller, H. L., 19–91, Cambridge Univ. Press, Cambridge, 2007.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Srokosz, M., Baringer, M., Bryden, H., Cunningham, S., Delworth, T., Lozier, S., Marotzke, J., and Sutton, R.: Past, Present, and Future Changes in the Atlantic Meridional Overturning Circulation, B. Am. Meteorol. Soc., 93, 1663–1676, &lt;a href=&quot;http://dx.doi.org/10.1175/BAMS-D-11-00151.1&quot;&gt;https://doi.org/10.1175/BAMS-D-11-00151.1&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Stocker, T. F. and Johnsen, S. J.: A minimum thermodynamic model for the bipolar seesaw, Paleoceanography, 18, 1087, &lt;a href=&quot;http://dx.doi.org/10.1029/2003PA000920&quot;&gt;https://doi.org/10.1029/2003PA000920&lt;/a&gt;, 2003.</mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple">Visbeck, M., Marshall, J., Haine, T., and Spall, M.: Specification of eddy transfer coefficients in coarse-resolution ocean circulation models, J. Phys. Oceanogr., 27, 381–401, 1997.</mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple">Weber, S. L., Drijfhout, S. S., Abe-Ouchi, A., Crucifix, M., Eby, M., Ganopolski, A., Murakami, S., Otto-Bliesner, B., and Peltier, W. R.: The modern and glacial overturning circulation in the Atlantic ocean in PMIP coupled model simulations, Clim. Past, 3, 51–64, &lt;a href=&quot;http://dx.doi.org/10.5194/cp-3-51-2007&quot;&gt;https://doi.org/10.5194/cp-3-51-2007&lt;/a&gt;, 2007.</mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple">Winguth, A. M. E., Archer, D., Duplessy, J.-C., Maier-Reimer, E., and Mikolajewicz, U.: Sensitivity of paleonutrient tracer distributions and deep-sea circulation to glacial boundary conditions, Paleoceanography, 14, 304–323, &lt;a href=&quot;http://dx.doi.org/10.1029/1999PA900002&quot;&gt;https://doi.org/10.1029/1999PA900002&lt;/a&gt;, 1999.</mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple">Winguth, A. M. E., Archer, D., Maier-Reimer, E., and Mikolajewicz, U.: Paleonutrient data analysis of the glacial Atlantic using an adjoint ocean general circulation model, Washington DC American Geophysical Union Geophysical Monograph Series, 114, 171–183, &lt;a href=&quot;http://dx.doi.org/10.1029/GM114p0171&quot;&gt;https://doi.org/10.1029/GM114p0171&lt;/a&gt;, 2000.</mixed-citation>
</ref>
<ref id="ref63">
<label>63</label><mixed-citation publication-type="other" xlink:type="simple">Wunsch, C.: The Ocean Circulation Inverse Problem, Cambridge University Press, Cambridge, 1996.</mixed-citation>
</ref>
<ref id="ref64">
<label>64</label><mixed-citation publication-type="other" xlink:type="simple">Wunsch, C.: Discrete Inverse and State Estimation Problems, Cambridge University Press, Cambridge, &lt;a href=&quot;http://dx.doi.org/10.2277/0521854245&quot;&gt;https://doi.org/10.2277/0521854245&lt;/a&gt;, 2006.</mixed-citation>
</ref>
<ref id="ref65">
<label>65</label><mixed-citation publication-type="other" xlink:type="simple">Yu, E.-F., Francois, R., and Bacon, M. P.: Similar rates of modern and last-glacial ocean thermohaline circulation inferred from radiochemical data, Nature, 379, 689–694, &lt;a href=&quot;http://dx.doi.org/10.1038/379689a0&quot;&gt;https://doi.org/10.1038/379689a0&lt;/a&gt;, 1996.</mixed-citation>
</ref>
<ref id="ref66">
<label>66</label><mixed-citation publication-type="other" xlink:type="simple">Zhang, R.: Coherent surface-subsurface fingerprint of the Atlantic meridional overturning circulation, Geophys. Res. Lett., 35, L20705, &lt;a href=&quot;http://dx.doi.org/10.1029/2008GL035463&quot;&gt;https://doi.org/10.1029/2008GL035463&lt;/a&gt;, 2008.</mixed-citation>
</ref>
</ref-list>
</back>
</article>