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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <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-17-703-2021</article-id><title-group><article-title>Atmospheric carbon dioxide variations across the middle Miocene climate transition</article-title><alt-title>Atmospheric carbon dioxide variations across the middle Miocene climate transition</alt-title>
      </title-group><?xmltex \runningtitle{Atmospheric carbon dioxide variations across the middle Miocene climate transition}?><?xmltex \runningauthor{M. Raitzsch et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Raitzsch</surname><given-names>Markus</given-names></name>
          <email>mraitzsch@marum.de</email>
        <ext-link>https://orcid.org/0000-0003-4214-358X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bijma</surname><given-names>Jelle</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4371-1438</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bickert</surname><given-names>Torsten</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5221-5922</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schulz</surname><given-names>Michael</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6500-2697</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Holbourn</surname><given-names>Ann</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kučera</surname><given-names>Michal</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7817-9018</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>MARUM – Zentrum für Marine Umweltwissenschaften, Universität Bremen, Leobener Straße 8, 28359 Bremen, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Alfred-Wegener-Institut, Helmholtz-Zentrum für Polar- und
Meeresforschung,<?xmltex \hack{\break}?> Am Handelshafen 12, 27570 Bremerhaven, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institut für Geowissenschaften, Christian-Albrechts-Universität, 24118 Kiel, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Markus Raitzsch (mraitzsch@marum.de)</corresp></author-notes><pub-date><day>26</day><month>March</month><year>2021</year></pub-date>
      
      <volume>17</volume>
      <issue>2</issue>
      <fpage>703</fpage><lpage>719</lpage>
      <history>
        <date date-type="received"><day>14</day><month>July</month><year>2020</year></date>
           <date date-type="rev-request"><day>20</day><month>July</month><year>2020</year></date>
           <date date-type="rev-recd"><day>17</day><month>February</month><year>2021</year></date>
           <date date-type="accepted"><day>17</day><month>February</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Markus Raitzsch et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021.html">This article is available from https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e142">The middle Miocene climate transition <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 Ma marks a fundamental step towards the current “ice-house” climate, with
a <inline-formula><mml:math id="M2" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰ <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O increase and a
<inline-formula><mml:math id="M4" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰ transient <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C rise in
the deep ocean, indicating rapid expansion of the East Antarctic Ice Sheet
associated with a change in the operation of the global carbon cycle. The
variation of atmospheric CO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> across the carbon-cycle perturbation has
been intensely debated as proxy records of <inline-formula><mml:math id="M7" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for this time interval
are sparse and partly contradictory. Using boron isotopes (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B) in planktonic foraminifers from Ocean Drilling Program (ODP) Site 1092 in the South
Atlantic, we show that long-term <inline-formula><mml:math id="M10" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> varied at 402 kyr periodicity
between <inline-formula><mml:math id="M12" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.3 and 13.2 Ma and follows the global <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C variation remarkably well. This suggests a close link to
precessional insolation forcing modulated by eccentricity, which governs the
monsoon and hence weathering intensity, with enhanced weathering and
decreasing <inline-formula><mml:math id="M14" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at high eccentricity and vice versa. The <inline-formula><mml:math id="M16" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 kyr lag of <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M18" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> behind eccentricity in our
records may be related to the slow response of weathering to orbital
forcing. A <inline-formula><mml:math id="M20" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> drop of <inline-formula><mml:math id="M22" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm before 13.9 Ma
may have facilitated the inception of ice-sheet expansion on Antarctica,
which accentuated monsoon-driven carbon cycle changes through a major
sea-level fall, invigorated deep-water ventilation, and shelf-to-basin shift
of carbonate burial. The temporary rise in <inline-formula><mml:math id="M24" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> following Antarctic
glaciation would have acted as a negative feedback on the progressing
glaciation and helped to stabilize the climate system on its way to the
late Cenozoic ice-house world.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e368">With rapid cooling of Antarctica and associated expansion of the East
Antarctic Ice Sheet (EAIS), the middle Miocene climate transition (MMCT)
<inline-formula><mml:math id="M26" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 Ma marks a fundamental step towards the current
“ice-house” climate (Woodruff and Savin, 1991; Flower and Kennett, 1994).
The transition is characterized by a <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O increase of
<inline-formula><mml:math id="M28" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰ in the deep ocean between 13.9 and
13.8 Ma and a positive (<inline-formula><mml:math id="M29" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1 ‰) <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C excursion between 13.9 and 13.5 Ma indicating a fundamental change
in global carbon-cycle dynamics (Shevenell et al., 2004; Holbourn et al.,
2005, 2007). This carbon-isotope maximum (CM) event CM6 is the last and most
prominent of a suite of maxima within a long-lasting <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
excursion, the “Monterey Excursion”, spanning <inline-formula><mml:math id="M32" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16.9 to
<inline-formula><mml:math id="M33" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.5 Ma and apparently paced by long-term changes in the 400 kyr eccentricity cycle of the Earth's orbit (Vincent and Berger, 1985;
Holbourn et al., 2007). These <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C maxima hint at a major
reorganization of the marine carbon cycle, and the temporal coincidence of
CM6 with expansion of the Antarctic ice sheet indicates that the glaciation
may have been caused by cooling due to reduced CO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> radiative forcing
(Foster et al., 2012; Greenop et al., 2014) and potentially reinforced by
low seasonality (Holbourn et al., 2005) and high albedo over Antarctica
(Shevenell et al., 2004).</p>
      <p id="d1e460">The CM events within the Monterey Excursion have been traditionally
considered as episodes of increased organic-carbon (C<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula>) burial
resulting in <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C-depleted seawater, atmospheric CO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> drawdown and
associated cooling and buildup of continental ice (Vincent and Berger, 1985;
Flower and Kennett, 1993, 1994; Badger et al., 2013). Another<?pagebreak page704?> explanation
for the CM events refers to the “missing sink” mechanism (Lear et al.,
2004), where large areas of Antarctic silicate rocks are covered by ice
caps, which reduce chemical weathering and, thus, limit their potential as a
sink for atmospheric CO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Pagani et al., 1999; Lear et al., 2004;
Shevenell et al., 2008). Despite the different impacts on atmospheric
CO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, both hypotheses result in increasing marine <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C,
either by removal of <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup></mml:math></inline-formula>C-enriched organic carbon from the water column
or by increasing the carbon isotopic fractionation during photosynthesis at
higher aqueous [CO<inline-formula><mml:math id="M43" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>].</p>
      <p id="d1e538">Sosdian et al. (2020) proposed that different mechanisms were responsible
for the <inline-formula><mml:math id="M44" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 Myr Monterey carbon isotope excursion and
the shorter <inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 kyr periodic CM events. The Monterey
excursion may have been caused by volcanic outgassing from Columbia River
flood basalts, resulting in a <inline-formula><mml:math id="M46" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise, global warming, and rising sea
level (e.g., Hodell and Woodruff, 1994). In contrast, the CM events were
associated with global cooling and ice-sheet growth; increases in nutrient
delivery, marine productivity, and organic carbon burial (the classic
Monterey hypothesis), which ultimately led to a drawdown of atmospheric
CO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>; and a rise in <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (Sosdian et al., 2020). An
alternate hypothesis is that the high <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of CM events could
have been caused by increased monsoon-driven weathering and nutrient supply
to the ocean in low latitudes, resulting in enhanced C<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial and
<inline-formula><mml:math id="M52" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> drawdown that was outweighed by the concomitant increase in
shallow-water carbonate production that removed alkalinity and hence
released CO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Ma et al., 2011).</p>
      <p id="d1e637">However, CM6 is unique as it is the most prominent among the CM events and
its onset coincided with expansion of the Antarctic ice sheet. Hence, the
interpretation of this event is complicated by additional processes that
came into play, including a 55–75 m sea-level fall (Lear et al., 2010) that
might have initiated a shelf-to-basin shift in carbonate burial; carbonate
and pyrite weathering on exposed shelf areas (e.g., McKay et al., 2016; Ma
et al., 2018, Kölling et al., 2019); and changes in ocean circulation,
bottom-water ventilation, and deep-water production (e.g., Shevenell et al.,
2004; Holbourn et al., 2007, 2013, 2014; Kuhnert et al., 2009; Tian et al.,
2009; Knorr and Lohmann, 2014), all of which might have influenced <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M56" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. For instance, in a recent study it was suggested
that a northward shift of frontal systems may have reduced Southern Ocean
upwelling, resulting in increased carbon storage in the deep ocean and thus
a drawdown of atmospheric CO<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Leutert et al., 2020). It was proposed
that the <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C excursion of CM6 could be caused by increased
weathering of <inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C-enriched shelf carbonates exposed after the sea-level
fall and a terrestrial carbon reservoir expansion (Ma et al., 2018). As a
consequence, the enhanced shelf carbonate weathering and carbon storage on
land, as well as a more sluggish meridional Pacific Ocean overturning
circulation due to reduced deep-water formation in the Southern Ocean,
resulted in a drawdown of <inline-formula><mml:math id="M61" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Ma et al., 2018).</p>
      <p id="d1e714">The nature of the carbon cycle perturbation could be better constrained if
we knew the evolution of atmospheric CO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> across the MMCT. Understanding
the role of the carbon cycle in this cooling step is key to assessing
Earth system sensitivity to CO<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> forcing and the long-term stability of
the Antarctic ice sheet under rising CO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentrations. However, most
proxy records for the history of <inline-formula><mml:math id="M66" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> across the MMCT are incomplete or
at low resolution, thus prohibiting resolution of the CM events (Pagani et
al., 1999; Kürschner et al., 2008; Foster et al., 2012; Ji et al., 2018;
Sosdian et al., 2018; Super et al., 2018) and making it difficult to
identify the mechanisms responsible for this major step into the
ice-house world. The only high-resolution <inline-formula><mml:math id="M68" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstruction across
CM6 is based on alkenone <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C data from a Miocene outcrop on
Malta (Badger et al., 2013), but it does not reveal a significant change.</p>
      <p id="d1e788">Therefore, to better understand atmospheric CO<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> evolution over the
period of EAIS expansion, we generated a relatively high-resolution
reconstruction based on <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B measurements of fossil planktonic
foraminifers from the South Atlantic (Figs. 1, 2). The boron isotopic
composition of biogenic carbonates is a reliable recorder of ambient pH,
which in turn is closely linked to atmospheric <inline-formula><mml:math id="M73" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in oligotrophic
surface waters. Our record fully captures the carbon isotope excursions CM5b
and CM6, which include the major expansion of the EAIS.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e829">Azimuthal view of the location of ODP Site 1092 (water depth 1973 m) on the Meteor Rise in the South Atlantic Ocean, north of the modern polar front. Also shown are locations of DSDP Site 608, ODP Site 761, IODP Site U1338, and Ras-il-Pellegrin on Malta, for which <inline-formula><mml:math id="M75" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> records are
displayed in Fig. 6.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f01.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e856">Scanning electron microscopy images of collected <italic>G. bulloides</italic> for <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B analysis (representative example from 177-1092B-18-4, 69–71 cm): <bold>(A)</bold> whole shell; <bold>(a)</bold> close-up image that reveals intact coccoliths covering the shell surface, indicating a lack of post-depositional dissolution; <bold>(B)</bold> shell fragments after chemical cleaning; and a <bold>(b)</bold> close-up image showing the absence of non-shell material.</p></caption>
        <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f02.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page705?><sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Sampling strategy</title>
      <p id="d1e909">This research used samples from Ocean Drilling Program (ODP) Site 1092,
located at 46.41<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 7.08<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (Fig. 1) at a water depth of 1973 m. The
interval studied (<inline-formula><mml:math id="M80" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 178–184 mcd; see Table S1 in the Supplement) consists of
nannofossil ooze with excellent carbonate preservation, as shown by
undissolved coccoliths, which are susceptible to corrosion (Fig. 2). The shown example is from <inline-formula><mml:math id="M81" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.8 Ma, where pH was low, but
shell preservation is similarly good throughout the entire record. From the
250–315 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m size fraction, approximately 200 specimens
(<inline-formula><mml:math id="M83" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2.5 mg) of the cold-water-dwelling planktonic foraminifer
<italic>G. bulloides</italic> were picked for <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B analysis from 35 processed 10 cm<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>
sediment samples. In addition, about five to eight specimens of the benthic
foraminifer <italic>Cibicidoides wuellerstorfi</italic> were picked from 14 intervals to reconstruct deep-sea pH (Table S1). Today, surface-water <inline-formula><mml:math id="M86" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at Site 1092 is close to equilibrium with
the atmosphere (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></inline-formula>CO<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>2sea-air</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm; Takahashi
et al., 1993, 2009). Plankton tow data revealed that <italic>G. bulloides</italic> in the Atlantic
sector of the Southern Ocean is predominantly found within the upper 100 m
of the water column (Mortyn and Charles, 2003). Based on DIC (dissolved
inorganic carbon) and TA (total alkalinity) from seasonal TCO2<inline-formula><mml:math id="M91" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>TALK (Goyet
et al., 2000) and temperature and salinity from WOA13 data sets, modern
gradients in pH and <inline-formula><mml:math id="M92" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are small at this site within the upper 200 m
of the water column. During the austral spring season, when the shell flux
of <italic>G. bulloides</italic> is highest (Jonkers and Kučera, 2015; Raitzsch et al., 2018), the
differences in pH and <inline-formula><mml:math id="M94" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> within this depth range are <inline-formula><mml:math id="M96" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03 and 17 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm, respectively. Hence, we expect <italic>G. bulloides</italic> to be a reliable recorder of
subsurface pH and <inline-formula><mml:math id="M98" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Age model</title>
      <p id="d1e1126">The age model used in this study is adopted from Kuhnert et al. (2009) but
was revised to bring it in line with the astronomically tuned stable isotope
record of the reference IODP Site U1338 (Holbourn et al., 2014) (Fig. 3,
Table S2). For direct comparison of our <inline-formula><mml:math id="M100" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record with the boron-based
reconstructions available from the literature, the age models of ODP 761
(Holbourn et al., 2004; Foster et al., 2012; Sosdian et al., 2018) and the
Blue Clay Formation of Ras-il-Pellegrin on Malta (Abels et al., 2005; Badger
et al., 2013) were also retuned to match the reference curve U1338 (Table S2). Although the global stratotype section and point (GSSP) of the Langhian–Serravallian boundary (Mi-3b) in the
Malta<?pagebreak page706?> section was not explicitly placed at 13.82 Ma as suggested by Abels et
al. (2005), the boundary in the revised age model (13.81 Ma) is in very
close agreement, supporting the validity of the retuned record. Based on
these revised age models, the <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
profiles of Sites 1092, ODP 791, and the Blue Clay Formation generally show a
good agreement with those of Site U1338 (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1169">Age models of ODP Site 1092, ODP Site 761, and the Blue Clay Formation
(Ras-il-Pellegrin, Malta), which were retuned with respect to the reference
curve of IODP Site U1338 (Holbourn et al., 2014), based on their <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <bold>(a)</bold> and <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C <bold>(b)</bold> records. The thick
line in the Ras-il-Pellegrin record is from Abels et al. (2005), and the thin
line is from Badger et al. (2013). Arrows mark tie points from this study,
which are listed in Table S2. Dashed lines delimit CM events 5b and 6.</p></caption>
          <?xmltex \igopts{width=386.95748pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Boron isotope analysis</title>
      <p id="d1e1214">Foraminifer shells were cleaned following the protocol of Barker et al. (2003). Boron (B) isotope ratios were measured following Raitzsch et al. (2018).
Briefly, the cleaned samples were dissolved in 60 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of 1 N HNO<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
and micro-distilled on a hotplate to separate boron from the carbonate
matrix. The micro-distillation method has been proven to yield a B recovery
of <inline-formula><mml:math id="M108" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 %, a low procedural blank, and accurate results,
even at low B concentrations (Gaillardet et al., 2001; Wang et al., 2010;
Misra et al., 2014; Raitzsch et al., 2018). The procedural blank
contribution was 10–50 pg B, which equates to <inline-formula><mml:math id="M109" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.2 %–0.8 %
of the total [B] in the micro-distillation vial. The distillate containing
only boron was diluted with 2 % HNO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and analyzed for isotopes in
triplicate using a Nu Plasma II multi-collector inductively coupled plasma mass spectrometry (ICPMS) at AWI (Bremerhaven,
Germany) that is equipped with a customized detector array of 16 Faraday
cups and 6 secondary electron multipliers (SEM), also termed ion counters
(IC). The <inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:math></inline-formula>B and <inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula>B samples were collected in IC5 and IC0, respectively, at
a boron concentration of <inline-formula><mml:math id="M113" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 ppb. As three of the SEMs were
later replaced by Daly detectors, <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:math></inline-formula>B and <inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula>B of <italic>C. wuellerstorfi</italic> samples were
collected in D5 and D0, respectively, at a boron concentration of
<inline-formula><mml:math id="M116" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 ppb. <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:math></inline-formula>B/<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup></mml:math></inline-formula>B was standardized against
concentration-matched NBS 951 using the standard–sample–standard bracketing
technique, and frequent analysis of control standard AE121 with an isotopic
composition similar to that of foraminifers was monitored to ensure accuracy
of measurement. Measurement uncertainties are reported as 2 standard
deviations (2<inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) derived from triplicate measurements or as <inline-formula><mml:math id="M120" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.30 ‰ (for SEM-analyzed samples) and <inline-formula><mml:math id="M121" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.25 ‰ (for Daly-analyzed samples) determined from the
long-term reproducibility (2<inline-formula><mml:math id="M122" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of per-session <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B
averages) of the control standard, whichever is larger (see Table S1).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Calculation of carbonate chemistry</title>
      <p id="d1e1378">To reconstruct pH and <inline-formula><mml:math id="M124" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for the middle Miocene from the boron
isotopic composition of foraminiferal shells, more constraints and
assumptions of boundary conditions need to be made, as the ocean chemistry
was different from today. This includes the boron isotopic composition of
seawater (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula>), which has a direct effect on that of
foraminifer shells (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub></mml:math></inline-formula>) but also on the <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula> relationship, which in turn
may lead to different pH yields. Further, we need to consider the seawater
concentrations of calcium [Ca] and magnesium ions [Mg], which affect both
the ocean's buffering capacity and the Mg <inline-formula><mml:math id="M133" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios in foraminifer shells
used to reconstruct seawater temperatures. Ultimately, we need to constrain
a second carbonate system parameter (besides pH) to determine absolute
atmospheric <inline-formula><mml:math id="M134" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> values as accurately as possible.</p>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><?xmltex \opttitle{$\delta^{{11}}$B of seawater}?><title><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B of seawater</title>
      <p id="d1e1517">The most critical parameter for correct conversion of <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub></mml:math></inline-formula> to pH is <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula>, which is fortunately well constrained for the middle Miocene. We used a <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula>
value of 37.80 ‰, which is the mean value from
different independent studies and in close agreement with each other to
within 0.2 ‰ (2<inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) (Pearson and Palmer, 2000;
Foster et al., 2012; Raitzsch and Hönisch, 2013; Greenop et al., 2017),
and also comparable to the 38.5 ‰ modeled by Lemarchand
et al. (2000). This value is used for both the calculation of pH and the
adjustment of the <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula>
regression intercept, where the effect is larger the more the slope differs
from a 1 : 1 relationship (Greenop et al., 2019). Nonetheless, to inspect the
influence of <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M148" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> on final reconstructed <inline-formula><mml:math id="M149" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M150" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
values, we carried out the calculations using lower and upper extremes in
<inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M152" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> of 36.80 ‰ and 38.80 ‰, respectively. The results show that the extreme
scenarios not only reveal differences in reconstructed <inline-formula><mml:math id="M153" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> of up to
320 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm but also in relative changes, due to the nonlinearity of
the <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B-pH proxy (Fig. S1). However, we propose that a <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> value of 37.80 ‰ is a reasonable
estimate, given the close agreement between independent studies and the
closeness to non-boron-based <inline-formula><mml:math id="M159" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstructions.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Equilibrium constants</title>
      <p id="d1e1763">As the Miocene ocean had different [Ca] and [Mg] than today, their separate
effects on seawater buffering must be taken into account to more accurately
estimate past carbonate chemistry. For our study, all carbonate system
parameters were calculated based on the MyAMI model (Hain et al., 2015;
2018) using a [Ca] and [Mg] of 13 and 42 mmol kg<inline-formula><mml:math id="M161" 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>, respectively,
derived from halite fluid inclusions (Horita et al., 2002; Lowenstein et
al., 2003; Timofeeff et al., 2006; Brennan et al., 2013).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS3">
  <label>2.4.3</label><?xmltex \opttitle{Foraminiferal $\delta^{{11}}$B calibrations}?><title>Foraminiferal <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B calibrations</title>
      <p id="d1e1798">The different species-specific <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula> calibrations used to reconstruct Miocene pH may
ultimately result in significantly different <inline-formula><mml:math id="M166" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M167" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates (Fig. S2).
For <italic>G. bulloides</italic>, there are three calibrations available (Martínez-Botí et
al., 2015; Henehan et al., 2016; Raitzsch et al., 2018), all of which yield
very similar results (Fig. S2a). In this study, we used the one from
Raitzsch et al. (2018) giving values that lie between the other two
estimates. By contrast, for <italic>Trilobatus trilobus</italic> <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B the <italic>Trilobatus sacculifer</italic> calibration is applied,
with four available equations (Foster et al., 2012; Martínez-Botí
et al., 2015; Henehan et al., 2016; Dyez et al., 2018). The calibrations
refer to different size fractions of <italic>T. sacculifer</italic> and different analytical techniques,
resulting in Miocene <inline-formula><mml:math id="M169" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates that differ from each other by up to
<inline-formula><mml:math id="M171" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2000 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm (Fig. S2b, c). The very high <inline-formula><mml:math id="M173" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (low pH) values obtained with the equation from Dyez et al. (2018) are attributed
to the much shallower slope (data collected with negative thermal ionization mass<?pagebreak page708?> spectrometry; N-TIMS), compared to those
of the other calibrations (based on MC-ICPMS measurements). Due to the lower
<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> in the Miocene, this lower sensitivity also
requires a stronger adjustment of the regression towards a higher intercept
(Greenop et al., 2019), which results in calculations of even lower pH
values. Hence, we assume that the calibration of Dyez et al. (2018) is not
suitable for deep-time studies, when the <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> was much
different from today, using MC-ICPMS. However, the calibrations of
Martínez-Botí et al. (2015) and Henehan et al. (2016) also result
in Miocene <inline-formula><mml:math id="M179" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates up to 400 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm higher than the <italic>G. bulloides</italic> data
(Fig. S2a) and other, non-boron-based, <inline-formula><mml:math id="M182" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> proxy data. Therefore, we
retained the original equation provided by Foster et al. (2012) to
re-evaluate the <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B data of their study and the study by Badger et
al. (2013).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS4">
  <label>2.4.4</label><title>pH and temperature estimates</title>
      <p id="d1e2031"><inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub></mml:math></inline-formula> was converted to <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula> using the calibration for <italic>G. bulloides</italic> from Raitzsch et al. (2018), which was adjusted for the
lower <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> following Greenop et al. (2019).
Subsequently, pH was calculated using sea-surface temperatures (SSTs) derived
from foraminiferal Mg <inline-formula><mml:math id="M191" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios, a hydrostatic pressure of 5000 hPa (equivalent
to 50 m water depth), and salinity based on the study by Kuhnert et al. (2009). The latter was estimated by converting <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula>,
derived from planktonic foraminiferal <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and Mg <inline-formula><mml:math id="M195" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
temperatures (Shackleton, 1974), to salinity using a <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> : salinity gradient of 1.1 ‰ (the change
in <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M199" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> per salinity unit). This minimum gradient is
required to keep the upper-ocean density difference across the Subantarctic
Front to enable the formation of Antarctic Intermediate Water (Kuhnert et
al., 2009), which existed as Southern Component Intermediate Water (SCIW)
since at least <inline-formula><mml:math id="M200" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16 Ma (Shevenell and Kennett, 2004) and
spread into all oceans adjacent to the Southern Ocean (Wright et al., 1992).
The relative salinity record was then adjusted by 17.2 to achieve
post-glaciation values similar to today. The reconstructed relative salinity
change across the MMCT at Site 1092 is slightly more than 1, which is
equivalent to the salinity gradient across the Subantarctic Front today.</p>
      <p id="d1e2190">As seawater pH has a profound effect on foraminifer shell Mg <inline-formula><mml:math id="M201" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca, biasing
reconstructed SSTs, which in turn results in altered pH estimates, we
followed the method of Gray and Evans (2019) to iteratively solve Mg <inline-formula><mml:math id="M202" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
temperatures and <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B-derived pH. For this, we modified the
“MgCaRB” R script of Gray and Evans (2019) to allow salinity and <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> as additional input parameters (see code in Sect. S1 in the
Supplement). In addition, we implemented a correction of shell Mg <inline-formula><mml:math id="M206" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca for
changes in seawater Mg <inline-formula><mml:math id="M207" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ([Mg <inline-formula><mml:math id="M208" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca]<inline-formula><mml:math id="M209" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula>) using the method of Evans and
Müller (2012), where we applied the power function constants for
<italic>Trilobatus sacculifer</italic>, assuming that they are valid for other low-Mg foraminifers as well. In this
study, we used a Mg <inline-formula><mml:math id="M210" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> that was likely on the order of 3.2 mol mol<inline-formula><mml:math id="M212" 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> at
<inline-formula><mml:math id="M213" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 Ma, inferred from the chemical composition of halite
fluid inclusions (Horita et al., 2002; Lowenstein et al., 2003; Timofeeff et
al., 2006; Brennan et al., 2013).</p>
      <p id="d1e2308">To better compare our record with published boron-based <inline-formula><mml:math id="M214" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reconstructions, the <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B and Mg <inline-formula><mml:math id="M217" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca data of <italic>T. trilobus</italic> from Foster et al. (2012) and Badger et al. (2013) were re-evaluated using the same calculation
procedure as for our data. Here, we used the calibration for <italic>T. sacculifer</italic> from MgCaRB,
although there is no discernable pH effect on the Mg <inline-formula><mml:math id="M218" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca of this species.
Further, we applied a constant salinity of 35 and a hydrostatic pressure of
0 Pa, but their effects on the final results are almost negligible as well.</p>
      <p id="d1e2359">Deep-sea temperatures were derived from Mg <inline-formula><mml:math id="M219" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca of <italic>C. wuellerstorfi</italic> (data courtesy of Henning Kuhnert) using the species-specific calibration of Raitzsch et al. (2008),
but we multiplied the pre-exponential constant with 0.825 (Evans and
Müller, 2012) to correct temperatures for the lower Mg <inline-formula><mml:math id="M220" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> of the
Miocene (see caption Table S1). Deep-ocean pH from the same species was
calculated using a <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula>
calibration (Table S1) fitted through core-top data from Rae et al. (2011)
and Raitzsch et al. (2020), a salinity of 34, and a paleo-water depth of
1794 m.</p>
      <p id="d1e2427">The uncertainties for all pH and temperature values reported here were
propagated using Monte Carlo simulations (10 000 repetitions) and comprise
quoted 2<inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainties for <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B and Mg <inline-formula><mml:math id="M227" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
measurements, <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula>
calibrations, <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M233" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>0.2 ‰),
salinity (<inline-formula><mml:math id="M234" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>1), and the reciprocally corrected pH and temperatures
calculated by MgCaRB (Gray and Evans, 2019).</p>
</sec>
<sec id="Ch1.S2.SS4.SSS5">
  <label>2.4.5</label><?xmltex \opttitle{$p$CO${}_{{2}}$ reconstruction}?><title><inline-formula><mml:math id="M235" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M236" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstruction</title>
      <p id="d1e2551">To calculate <inline-formula><mml:math id="M237" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from sea-surface pH, a second carbonate system
parameter needs to be constrained. For this study, we used a sea-surface TA
of 2000 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M240" 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>, which is in line with various carbon cycle model
results (Tyrrell and Zeebe, 2004; Ridgwell, 2005; Caves et al., 2016;
Sosdian et al., 2018; Zeebe and Tyrrell, 2019), and we applied it to the
entire record. However, to verify the validity of our approach we tested the
effect of varying TA on <inline-formula><mml:math id="M241" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> calculations (see Sect. 3.3).
Uncertainties of <inline-formula><mml:math id="M243" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates were fully propagated from adjusted
2<inline-formula><mml:math id="M245" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainties in pH and temperature (produced by MgCaRB; see
Sect. 2.4.4), TA (<inline-formula><mml:math id="M246" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>150 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M248" 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 salinity (<inline-formula><mml:math id="M249" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula>1 psu) using the “seacarb” package (Lavigne et al., 2011) programmed in “R”.
The applied temperature uncertainty is similar to the mean difference of
<inline-formula><mml:math id="M250" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M251" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C between the non-corrected and pH-corrected
Mg <inline-formula><mml:math id="M252" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca temperatures (Fig. S3), while the TA uncertainty encompasses the mean
standard deviation of <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 130 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M255" 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> between
different TA models and the standard deviation of <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mo>∼</mml:mo></mml:mrow></mml:math></inline-formula> 50 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M258" 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> for each model across the MMCT (Sosdian et al., 2018). The
applied salinity uncertainty encompasses the potential salinity change
across the MMCT.</p>
</sec>
</sec>
</sec>
<?pagebreak page709?><sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Carbon dioxide record</title>
      <p id="d1e2766">Our boron-based record indicates a steady <inline-formula><mml:math id="M259" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increase from
<inline-formula><mml:math id="M261" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 380 to 520 <inline-formula><mml:math id="M262" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm between 14.25 and 14.08 Ma and a subsequent decrease to <inline-formula><mml:math id="M264" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 320 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm until 13.87 Ma, culminating after the onset of the major ice-sheet expansion (Fig. 4e).
It should be noted that this <inline-formula><mml:math id="M266" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm drop in
<inline-formula><mml:math id="M268" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> occurred at a time of northward-shifting Southern Ocean fronts,
which is only related to a step-like drop in SST and salinity around 14 Ma
at this site (Fig. 4c) (Kuhnert et al., 2009). At 13.82 Ma, when SST had
already reached a lower stable level and after the inception of the
<inline-formula><mml:math id="M270" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 ‰ rise in benthic <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
(Fig. 4a), <inline-formula><mml:math id="M272" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increased rapidly by <inline-formula><mml:math id="M274" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm and
displayed high-amplitude variations of more than 50 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm until 13.57 Ma. This transient rise in <inline-formula><mml:math id="M277" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ended with a decrease to <inline-formula><mml:math id="M279" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 320 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm and much reduced variability after 13.53 Ma (Fig. 4e).
Despite the high 2<inline-formula><mml:math id="M281" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty of <inline-formula><mml:math id="M282" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm
for the overall <inline-formula><mml:math id="M284" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record, the interpretation of comparatively small
changes of <inline-formula><mml:math id="M286" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm is reasonable, due to the smaller
uncertainty of relative variations. The latter is estimated to be
approximately 50 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm (2<inline-formula><mml:math id="M289" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), i.e., when uncertainties in
the <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">foram</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">borate</mml:mi></mml:msub></mml:math></inline-formula> calibration and
<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> are neglected. Sea-surface pH values within the
entire record range from 7.94 to 8.11 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09, while deep-sea pH varies
between 7.77 and 7.87 <inline-formula><mml:math id="M296" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08 over the same interval (Figs. 4d and S4).
Interestingly, the pH offset between the surface and deep ocean is nearly
identical to the modern gradient and apparently does not change
substantially within our Miocene record (Fig. S4), but the high
uncertainties associated with the pH estimates hamper a reasonable
statistical analysis of the temporal change in gradient.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3088">Proxy records of the middle Miocene climate transition. <bold>(a)</bold> Benthic oxygen isotope curve from ODP Site 1092 (in red) used in this study and from eastern Pacific IODP Site U1338 (in blue) used as a reference (Holbourn et al., 2014). <bold>(b)</bold> The same as in panel <bold>(a)</bold> but for carbon isotopes. The carbon maximum events CM5b and CM6 are indicated. <bold>(c)</bold> Site 1092 sea-surface temperatures based on <italic>G. bulloides</italic> Mg <inline-formula><mml:math id="M297" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios (Kuhnert et al., 2009) and pH-adjusted following Gray and Evans (2019) with a 2<inline-formula><mml:math id="M298" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty band. <bold>(d)</bold> Raw boron isotope data of <italic>G. bulloides</italic>. Shaded area indicates 2<inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainties of measurement. <bold>(e)</bold> Estimated <inline-formula><mml:math id="M300" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M301" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> of surface waters basically using
temperature-adjusted <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B-based pH following Gray and Evans (2019), a total alkalinity (TA) of 2000 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M305" 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 a
<inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M307" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> value of 37.80 <inline-formula><mml:math id="M308" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰.
Note that the secondary axis only approximates corresponding pH and that the
shaded area delimits propagated uncertainties only for <inline-formula><mml:math id="M309" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. For exact
pH values and uncertainties, see Fig. S4. <bold>(f)</bold> Eccentricity of the Earth's orbit is from Laskar et al. (2004) and a low-pass-filtered 400 kyr signal (grey line).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f04.png"/>

        </fig>

      <p id="d1e3245">The <inline-formula><mml:math id="M311" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variations within the studied time interval show a remarkable
agreement with variations in <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C that correspond to CM5b and
CM6 (Fig. 4). Accordingly, the maxima at <inline-formula><mml:math id="M314" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.1 and 13.7 Ma as
well as the minima at <inline-formula><mml:math id="M315" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.9 and 13.5 Ma, indicate that
atmospheric CO<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels were paced by 400 kyr cycles, as also
demonstrated by evolutive harmonic and power spectral analyses (Fig. 5), but
due to the phase lag it is difficult to substantiate a direct link between
long eccentricity cycles and atmospheric CO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3311">Evolutive harmonic analysis (EHA) and power spectral analysis of
<inline-formula><mml:math id="M318" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M319" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record from ODP Site 1092, using the Thomson multitaper method
(MTM). The red line in the left panel is the low-pass-filtered 400 kyr
signal using cosine-tapered window. Analyses were performed using the R
package “Astrochron” (Myers, 2014).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sea-surface temperatures</title>
      <p id="d1e3344">Due to the profound effect of pH on Mg <inline-formula><mml:math id="M320" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in shells of <italic>G. bulloides</italic>, which might bias
reconstructed SSTs, we applied the modified MgCaRB tool of Gray and Evans (2019) to iteratively solve Mg <inline-formula><mml:math id="M321" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca temperatures and <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B-derived
pH. In addition, we applied a correction factor to account for the effect of
[Mg <inline-formula><mml:math id="M323" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca]<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> on shell Mg <inline-formula><mml:math id="M325" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca using the method of Evans and Müller (2012). However, to evaluate the difference between iteratively adjusted and
non-adjusted pH and temperature values, we also performed the conventional
calculations using the <italic>G. bulloides</italic> <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B calibration from Raitzsch et al. (2018) and Mg <inline-formula><mml:math id="M327" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca-to-temperature component from Gray and Evans (2019),
respectively. It should be noted that the Mg <inline-formula><mml:math id="M328" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca sensitivity of <italic>G. bulloides</italic> to
temperature determined by Gray and Evans (2019) is much larger than that by
Mashiotta et al. (1999). Therefore, the calculated unadjusted temperature
decrease between 14.05 and 13.85 Ma is on the order of 13 <inline-formula><mml:math id="M329" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
compared to <inline-formula><mml:math id="M330" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 <inline-formula><mml:math id="M331" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C determined with the equation of
Mashiotta et al. (1999) and reported in Kuhnert et al. (2009). After the
iterative correction of Mg <inline-formula><mml:math id="M332" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca and pH, the results show that before the EAIS
expansion the adjusted temperature and <inline-formula><mml:math id="M333" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> values are up to
<inline-formula><mml:math id="M335" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M337" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 60 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm lower,
respectively (Fig. S3). On the contrary, after 13.9 Ma the adjusted
temperature and <inline-formula><mml:math id="M339" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M340" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstructions are very similar, suggesting that
approximately one-fourth of the observed pre-glacial Mg <inline-formula><mml:math id="M341" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca decrease was
induced by a contemporaneous pH rise.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Sensitivity tests</title>
      <p id="d1e3543">Given that we use TA as the second variable to calculate the inorganic
carbon chemistry, which might affect calculated <inline-formula><mml:math id="M342" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> discernibly, we
carried out a number of sensitivity tests. The first tests demonstrate that
either constant salinity, a <inline-formula><mml:math id="M344" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 unit change in salinity, or TA
co-varying with salinity using a modern TA–S relationship (<inline-formula><mml:math id="M345" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 42 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula> mol kg<inline-formula><mml:math id="M347" 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> per S unit), has no discernible effect on <inline-formula><mml:math id="M348" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
estimates (Fig. S5a). As ODP Site 1092 was apparently influenced by a
northward migration of the Southern Ocean fronts, we tested the potential
impact on calculated <inline-formula><mml:math id="M350" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> by coupling TA to temperature. Even at an
unrealistically high total change of 400 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M353" 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>, calculated relative
<inline-formula><mml:math id="M354" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> changes are similar after the EAIS expansion at <inline-formula><mml:math id="M356" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.9 Ma (Fig. S5b). Given the modern sea-surface TA gradient across the
polar frontal system of <inline-formula><mml:math id="M357" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M359" 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> (higher in the
south), we conclude that the increasing influence of southern-sourced
surface waters on <inline-formula><mml:math id="M360" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates at our study site is comparatively
small. When in our simulations TA was coupled to pH (Fig. S5c, d) or
eccentricity (Fig. S5e–h) by <inline-formula><mml:math id="M362" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>100 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M364" 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="M365" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M366" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reconstructions are almost identical among each other. On the other hand, at
TA variations of <inline-formula><mml:math id="M367" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>400 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M369" 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 <inline-formula><mml:math id="M370" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates may
differ substantially between the different scenarios, but the general shape
of the record remains more or less the same. Given that total variations in
TA of 800 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M373" 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 very unlikely, we suggest that potential
variations in TA do not affect our <inline-formula><mml:math id="M374" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates significantly.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page710?><sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{Origin of Site~1092 $p$CO${}_{{2}}$ signal}?><title>Origin of Site 1092 <inline-formula><mml:math id="M376" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> signal</title>
      <p id="d1e3875">At face value, the reconstructed <inline-formula><mml:math id="M378" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M379" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> curve displays a remarkable
resemblance to the global benthic <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C record (Fig. 4),
suggesting that there is a first-order link between the two. Our record,
however, is the first that shows an increase of <inline-formula><mml:math id="M381" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> after the onset of
Antarctic glaciation, which is counterintuitive at first glance, given that
most hypotheses refer to enhanced C<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial as the main mechanism
having caused the rise in <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and presumably an atmospheric
CO<inline-formula><mml:math id="M385" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> drawdown. Hence, this raises the question as to whether Site 1092
truly records a global <inline-formula><mml:math id="M386" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M387" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> signal or a local one instead. It is
difficult to tackle this question because we neither have a complete,
independent <inline-formula><mml:math id="M388" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M389" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstruction for this time interval at similar or
higher resolution for comparison, nor can we ascertain that any site
millions of years ago was not influenced by local processes affecting the
geochemical signal. Therefore, we cannot completely rule out a local or
regional imprint on our <inline-formula><mml:math id="M390" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M391" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record, particularly due to the proximity
of Site 1092 to the polar front (Fig. 1).</p>
      <p id="d1e4000">There is indication for development of the subantarctic ocean frontal system
and a better stratification of the upper<?pagebreak page711?> ocean at Site 1092 following
Antarctic ice-sheet expansion, suggested by a divergence in <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O between shallow- and deep-dwelling planktonic foraminifera
(Paulsen, 2005). Although the occurrence of ocean fronts should have
involved changes in biological productivity that may result in altered
surface-water [CO<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>], the opal and C<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> contents in the sediment
remain steadily low throughout the middle Miocene (Diekmann et al., 2003),
suggesting that Site 1092 was in an oligotrophic setting within the time
interval studied. Moreover, if the <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B signal was mainly
driven by a regional change in stratification after 13.85 Ma, this would not
explain the low pH earlier during CM5, as shown in our record (Fig. 4).</p>
      <p id="d1e4043">Further, a better stratification should have resulted in a reduced vertical
mixing of the water column and thus to reduced sea–air gas exchange, leading
to decreased atmospheric CO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, such as in the Southern Ocean during the
Last Glacial Maximum (François et al., 1997). On the contrary, our data
do not imply such a situation, as the pH gradient between deep and surface
ocean appears to have remained constant (Fig. S4), suggesting that DIC
accumulated in both shallow and deep waters at this site, which resulted in
an overall pH decrease. Indeed, Leutert et al. (2020) suggested that the
expansion of the Antarctic Circumpolar Current (ACC) following ice-sheet
expansion could have moved the frontal systems and westerly winds further
north, which reduced Southern Ocean upwelling and hence provided a mechanism
to increase carbon storage in the deep ocean, drawing down <inline-formula><mml:math id="M397" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. If the
deep ocean in the south was indeed less well ventilated, we would expect
benthic <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C to decrease after the onset of the EAIS expansion
because the ocean had more time to accumulate <inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C-depleted CO<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
from decomposed C<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula>, which is the opposite (increasing <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, Fig. 4). All these complications call for more proxy records at
sufficient resolution from spatially distinct locations to better constrain
<inline-formula><mml:math id="M404" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> evolution across the MMCT.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Comparison with other $p$CO${}_{{2}}$ records}?><title>Comparison with other <inline-formula><mml:math id="M406" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> records</title>
      <p id="d1e4162">Our <inline-formula><mml:math id="M408" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> data broadly agree with reconstructed long-term trends based on
paleosol <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (Ji et al., 2018) and planktonic foraminiferal
<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B (Foster et al., 2012), except for the higher value at
<inline-formula><mml:math id="M412" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.2 Ma (Fig. 6). The boron isotope data from the
Mediterranean Sea by Badger et al. (2013) also show <inline-formula><mml:math id="M413" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> values that
match our data well after 13.8 Ma, but our data do not exhibit a generally
higher <inline-formula><mml:math id="M415" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> level immediately before 13.8 Ma. On the one hand, the
relative pH increase of <inline-formula><mml:math id="M417" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.1 accompanying Antarctic
glaciation was backed up by comparing a pH-dependent (Mg <inline-formula><mml:math id="M418" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca) with
independent temperature proxies (clumped isotopes and TEX<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">86</mml:mn></mml:msub></mml:math></inline-formula>) obtained
from the same set of samples (Leutert et al., 2020). On the other hand, the
strong SST decrease of <inline-formula><mml:math id="M420" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4–5 <inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C after the onset of
Antarctic glaciation, as suggested by the Mediterranean data, is more than 2 <inline-formula><mml:math id="M422" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C larger than those recorded in other low-latitude sites (Foster
et al., 2012; Leutert et al., 2020; Sosdian and Lear, 2020), yet the reason
for this discrepancy needs to be examined. In contrast, the <inline-formula><mml:math id="M423" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M424" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
reconstruction based on alkenone <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C data from Badger et al. (2013) is similar to the estimates of Super et al. (2018), which are
generally lower than the boron-based data and do not exhibit significant
changes during CM6. Recent studies suggest that phytoplankton may enhance
cellular carbon supply for photosynthesis via carbon concentrating
mechanisms under limited aqueous [CO<inline-formula><mml:math id="M426" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>], making this proxy less
sensitive at low to moderate <inline-formula><mml:math id="M427" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M428" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels (Badger et al., 2019; Stoll et
al., 2019).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4347">Eccentricity of the Earth's orbit from Laskar et al. (2004) <bold>(a)</bold> and a comparison of <inline-formula><mml:math id="M429" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M430" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> estimates from this study with literature data <bold>(b)</bold>. Note that for <inline-formula><mml:math id="M431" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reconstructions from Foster et
al. (2012) and Badger et al. (2013), the boron-based pH data were
recalculated using the MgCaRB tool (Gray and Evans, 2019) modified for
deep-time reconstructions (code in Sect. S1), a TA of 2000 <inline-formula><mml:math id="M433" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol kg<inline-formula><mml:math id="M435" 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 a <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B<inline-formula><mml:math id="M437" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sw</mml:mi></mml:msub></mml:math></inline-formula> value of 37.80 <inline-formula><mml:math id="M438" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰ for consistency with our data. In addition, the age
models from these studies were also revised for direct comparison with our
record (Fig. 3). All other records are based on their original data and age
models.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://cp.copernicus.org/articles/17/703/2021/cp-17-703-2021-f06.png"/>

        </fig>

      <?pagebreak page712?><p id="d1e4450">There is no other direct evidence for increasing pH immediately following
the onset of EAIS expansion than the <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>B data by Badger et al. (2013), which is supported by Sosdian et al. (2020) who used planktonic
foraminiferal B <inline-formula><mml:math id="M440" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios from ODP Site 761 (Fig. 1) to infer relative
changes in DIC across the middle Miocene. As B <inline-formula><mml:math id="M441" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in planktonic foraminifera
is thought to be governed by the ratio between borate and DIC concentrations
[B(OH<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msubsup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M443" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> DIC], an increase in B <inline-formula><mml:math id="M444" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca can be interpreted as a
decrease in DIC and/or an increase in [B(OH<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msubsup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>] (e.g., Allen et
al., 2012). The high-resolution B <inline-formula><mml:math id="M446" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca record of Sosdian et al. (2020) reveals
that the long-lasting Monterey excursion is accompanied by generally low
B <inline-formula><mml:math id="M447" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios, whereas CM intervals are characterized by higher B <inline-formula><mml:math id="M448" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca,
suggesting periodic DIC decreases within a “high-DIC” world. The authors
concluded that during the CM events, ice-sheet expansion and global cooling
enhanced marine productivity and C<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial, which resulted in a
reduction of surface-water DIC and <inline-formula><mml:math id="M450" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and a rise in <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C.</p>
      <p id="d1e4578">Within the overlapping period, which encompasses two full 400 kyr cycles,
our record exhibits some striking similarities with the B <inline-formula><mml:math id="M453" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca record of
Sosdian et al. (2020), including the long-term decrease in <inline-formula><mml:math id="M454" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
accompanied by declining surface-water DIC, and the higher <inline-formula><mml:math id="M456" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M457" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> during
CM5b (Fig. 6) that is accompanied by increased DIC. Intriguingly, the
correlation between the two records collapses at the onset of CM6, when the
B <inline-formula><mml:math id="M458" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca record indicates a decline in DIC, which is corroborated by a lowering
in <inline-formula><mml:math id="M459" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M460" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Badger et al., 2013). This is in contrast to our record showing
that <inline-formula><mml:math id="M461" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M462" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increased during CM6 (Fig. 4), although the records are once
again in agreement at the end of CM6 (<inline-formula><mml:math id="M463" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 13.5 Ma). This
discrepancy could be attributed to non-identified factors influencing either
of the two proxies or regional effects on either of the two records. The
potential influence of the polar front on Site 1092 is addressed in Sect. 4.1, leading to the question of whether the data by Sosdian et al. (2020) could
be alternatively explained by increased deep-water production. When the
density of surface waters in the Southern Ocean increased due to cooling in
a generally warm middle Miocene, the invigorated deep-ocean venting could
have brought respired CO<inline-formula><mml:math id="M464" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to the atmosphere, leaving the overall ocean
depleted in DIC and enriched in CO<inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msubsup><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 possibly also in
<inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C. The higher CO<inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msubsup><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> in turn could have favored
the burial of carbonate in the deep sea, producing even more CO<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> that
is vented to the atmosphere, as suggested for the Pleistocene
glacial–interglacial cycles (Toggweiler, 2008). This way, the loss of
CO<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in shallow waters, caused by enhanced marine productivity and
C<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial (Sosdian et al., 2020), could have been outweighed by
CO<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> added to the atmosphere by deep-ocean ventilation. However, this is
speculative and needs to be validated in future studies.</p>
      <p id="d1e4755">It is worth noting that our <inline-formula><mml:math id="M472" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record before Antarctic glaciation
reveals a striking match with the box model output from Ma et al. (2011),
while after EAIS expansion our values are some 50 <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm lower,
although they still exhibit similar relative changes (Fig. 6). The
divergence after <inline-formula><mml:math id="M475" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.9 Ma may be related to the model by Ma
et al. (2011), which was designed to simulate orbitally paced carbon
reservoir changes for the Miocene Climate Optimum (MCO) and<?pagebreak page713?> hence does not
include ice sheets. Consequently, the model does not consider the effects of
falling sea level on the shelf-to-basin fractionation of carbonate burial
(McKay et al., 2016; Ma et al., 2018), or of ice-sheet expansion on ocean
circulation and bottom-water ventilation (e.g., Shevenell et al., 2004;
Holbourn et al., 2007, 2013), all of which should have influenced <inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M477" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M478" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. However, the similarity between our record and the
model suggests that the ocean carbon reservoir varied in response to
weathering-induced nutrient input, which in turn was controlled by varying
orbital configuration. This model was sufficient to explain the observed
<inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C pattern of the MCO (Ma et al., 2011) but could also be
capable of explaining a portion of the observed carbon cycle changes in a
world with an ice-covered Antarctica.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>The role of weathering in the carbon cycle</title>
      <p id="d1e4836">The <inline-formula><mml:math id="M480" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M481" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increase preceding and following the EAIS expansion closely
tracks the global <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C history of CM5b and CM6 (Fig. 4),
emphasizing a fundamental link between changes in the ocean carbon cycle and
atmospheric carbon dioxide. The CM peaks correspond to minima in the 400 kyr eccentricity cycle, suggesting that <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C variations were
related to changes in monsoon and weathering intensity (Holbourn et al.,
2007; Ma et al., 2011). Eccentricity maxima lead <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C minima at
the 400 kyr band by on average more than 50 kyr, which is comparable to
the phase lag of 47 <inline-formula><mml:math id="M485" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18 kyr observed in other Miocene records, which
can possibly be attributed to the slow response of weathering to orbital
forcing (Holbourn et al., 2007). Monsoon intensity is paced by solar
radiation variations caused by precessional cycles but their amplitude
variations are modified by eccentricity. More precisely, higher eccentricity
results in larger precession amplitudes and hence in larger wet–dry
variations in the tropics (e.g., Wang, 2009), stronger physical and chemical
weathering, and ultimately in an increased input of particulate organic
material, dissolved inorganic carbon, alkalinity and nutrients to the oceans
(e.g., Clift and Plumb, 2008; Ma et al., 2011; Wan et al., 2009). The
potential influence of alkalinity variations on our <inline-formula><mml:math id="M486" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M487" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record is shown
in Fig. S5 and evaluated in Sect. 3.3.</p>
      <p id="d1e4912">The increased nutrient supply enhanced primary production and organic carbon
burial, which in turn lowered <inline-formula><mml:math id="M488" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. At the same time, the burial of
shallow and total calcium carbonate (CaCO<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) increased, while CaCO<inline-formula><mml:math id="M491" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
burial in the deep ocean decreased (Holbourn et al., 2007). However, as the
net burial of CaCO<inline-formula><mml:math id="M492" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (enriched in <inline-formula><mml:math id="M493" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C) in relation to C<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula>
(depleted in <inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C) increased at high eccentricity, <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">DIC</mml:mi></mml:msub></mml:math></inline-formula> values decreased, which is in line with the global isotope
signature (Holbourn et al., 2007; Ma et al., 2011). Estimates of Miocene
shallow-water carbonate burial and shelf–basin fractionation of carbonate
accumulation are only available in rather low temporal resolution and do not
capture orbital variability that would allow assessment of global trends
(Boudreau and Luo, 2017; Boudreau et al., 2019; van der Ploeg et al., 2019).
Another limitation is that attempts to estimate shallow water carbonate
burial on an orbital timescale are limited to regional studies in very
different environments (Kroon et al., 2000; Reuning et al., 2002; Williams
et al., 2002; Aziz et al., 2003; Auer et al., 2015; Betzler et al., 2018;
Ohneiser and Wilson, 2018; Reolid et al., 2019) that cannot be easily
synthesized to provide global estimates.</p>
      <p id="d1e5006">An increase in carbonate burial in shallow seas would have removed
alkalinity from seawater and thus lowered pH and released CO<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to the
atmosphere (e.g., Zeebe and Wolf-Gladrow, 2001) during 100 kyr eccentricity
maxima; however, the resolution of our record is too low to detect this. On
longer timescales (400 kyr cycles), increased alkalinity input from rivers,
dissolution of deep-sea carbonates, and the enhanced burial of C<inline-formula><mml:math id="M499" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> in
tropical regions during eccentricity maxima might have contributed to the
long-term decrease in <inline-formula><mml:math id="M500" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. This agrees well with the box model output
from Ma et al. (2011), suggesting that during the long-eccentricity maxima
<inline-formula><mml:math id="M502" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M503" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> decreased, when the monsoon was most intense and the organic carbon
burial and river fluxes were high. Conversely, weathering and nutrient
supply to the ocean in low latitudes decreased when eccentricity was low,
resulting in a net decrease in the CaCO<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-C<inline-formula><mml:math id="M505" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial ratio and
hence in CO<inline-formula><mml:math id="M506" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> release and higher <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C.</p>
      <p id="d1e5098">The model of Ma et al. (2011) was designed to explain the long eccentricity
signal in the <inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C record throughout the warm MCO and hence
does not consider processes caused by expanding Antarctic ice sheets and
their impacts on the climate system. Indeed, the modeled <inline-formula><mml:math id="M509" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M510" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reveals
smaller amplitudes after <inline-formula><mml:math id="M511" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.9 Ma than our reconstruction
(Fig. 6) and a less pronounced CM6 in relation to the previous CM events.
Changes in shelf–basin partitioning of carbonate burial and enhanced global
deep-water ventilation, as well as increased weathering, resulting from a
major sea level fall at 13.8 Ma (Ma et al., 2018) are possible mechanisms to
explain the higher amplitude of CM6. Additional mechanisms may have
contributed to the amplification of CM6, including (1) increased C<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula>
burial by enhanced carbon sequestration through the biological pump linked
to intensified upwelling in low latitude areas, as well as (2) substantial outgassing
of CO<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from the deep ocean (<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of approx. <inline-formula><mml:math id="M515" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 ‰ to <inline-formula><mml:math id="M516" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 ‰) into the atmosphere (<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of approx. <inline-formula><mml:math id="M518" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 ‰
to <inline-formula><mml:math id="M519" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.5 ‰), which would not only result in increased
atmospheric <inline-formula><mml:math id="M520" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M521" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> but also in a positive excursion in atmospheric <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C. The size of the relevant reservoirs (38 000 Gt in the deep ocean
vs. 750 Gt in the atmosphere, if the proportions were similar to today)
would suggest that this process can be sustained over considerable time
intervals. (3) The amplitude of the 405 kyr cycle-paced <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
excursions depends on the size of the global marine DIC pool (e.g., Paillard
and Donnadieu, 2014). This size may have decreased following the loss of
shelf seas caused by the major regression associated with the onset of CM6,
resulting in a higher amplitude <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C response to eccentricity
forcing.</p>
</sec>
<?pagebreak page714?><sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Enhanced glacial deep-water ventilation</title>
      <p id="d1e5262">As stated in the previous section, the <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of CM6 might be
related to global deep-water ventilation, due to cooling in the Southern
Ocean that invigorated deep-water formation. The MMCT bears similarities to
the Eocene–Oligocene transition (EOT) <inline-formula><mml:math id="M526" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 34 Ma ago, when
Antarctic ice expansion was also accompanied by a large positive <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C excursion, in terms of both magnitude and duration (Coxall et al.,
2005). The <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C excursion following Antarctic glaciation was
accompanied by a transient <inline-formula><mml:math id="M529" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise of more than 300 <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm
(Pearson et al., 2009; Heureux and Rickaby, 2015), which bears similarity to
the <inline-formula><mml:math id="M532" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise during the mid-Miocene EAIS expansion, although the
amplitude was much larger. A modeling study suggested that a
sea-level-fall-induced shelf-basin carbonate burial fractionation and a
temporal enhancement of deep-water formation (by 150 %) in the Southern
Ocean were sufficient to produce both the positive <inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
excursion and a transient <inline-formula><mml:math id="M535" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise by <inline-formula><mml:math id="M537" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 <inline-formula><mml:math id="M538" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm in
the EOT (McKay et al., 2016).</p>
      <p id="d1e5389">Similarly, ocean circulation may have intensified during the Miocene EAIS
expansion, as the latitudinal temperature gradient increased and atmospheric
circulation strengthened. This is supported by benthic foraminifers, Mn <inline-formula><mml:math id="M539" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
and XRF data from Southeast Pacific sites, which indicate improved
deep-water ventilation and carbonate preservation after 13.9 Ma,
particularly during colder climate phases (Holbourn et al., 2013). Improved
deep-water ventilation may also have led to enhanced advection of
silica-rich waters toward low latitudes, culminating in an increased
upwelling and diatom productivity between 14.04 and 13.96 Ma and between
13.84 and 13.76 Ma in the equatorial East Pacific, as indicated by massive
opal accumulation found at IODP Site U1338 (Holbourn et al., 2014). We
speculate that increased upwelling may have resulted in CO<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> outgassing,
if the supply exceeded consumption by primary productivity.</p>
      <p id="d1e5408">Such a scenario involving Southern Ocean cooling that led to enhanced
deep-water formation is also in line with the carbon-cycle box model by
Toggweiler (2008), showing that the associated ocean venting could have
transported respired CO<inline-formula><mml:math id="M541" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from deep waters to the atmosphere.
Consequently, as the ocean was left depleted in DIC and enriched in
CO<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msubsup><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 possibly also in <inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C), this could have
favored the burial of carbonate in the deep sea, removing TA and releasing
even more CO<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> that is vented to the atmosphere (Toggweiler, 2008). The
assumed rise in deep-ocean CO<inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:msubsup><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> following EAIS expansion and
associated deepening of the carbonate compensation depth (CCD) is not
contradictory to the benthic foraminiferal B <inline-formula><mml:math id="M546" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios from the deep South
China Sea that indicate an increase in the calcite saturation state spanning
CM6, i.e., a temporary deepening of the CCD (Ma et al., 2018).</p>
      <p id="d1e5478">It is noteworthy that CM6 exhibits a more pronounced <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C
change than all other CM events of the Monterey excursion, which is not
reflected by our <inline-formula><mml:math id="M548" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> record but rather shows a similar amplitude of
change to CM5b. One possible explanation for this phenomenon is that
enhanced deep-water formation during CM6 could have placed Site 1092 into a
frontal system in the Southern Ocean, thus recording increasing aqueous
[CO<inline-formula><mml:math id="M550" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>] in a climate of decreasing atmospheric <inline-formula><mml:math id="M551" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M552" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which might have
also contributed to the divergence in the records of B <inline-formula><mml:math id="M553" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca (Sosdian et al.,
2020) and <inline-formula><mml:math id="M554" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M555" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from this study. However, based on our data we can only
speculate on the unique nature of CM6 in comparison to other CM events,
which must be further explored in future studies.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e5567">We conclude that <inline-formula><mml:math id="M556" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> variations across the MMCT were paced by 400 kyr
eccentricity cycles, where <inline-formula><mml:math id="M558" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> decreased at high eccentricity and rose
when eccentricity was low (Fig. 4). At high eccentricity, the global monsoon
and hence weathering intensity increased (e.g., Wang, 2009), causing an
increased input of dissolved inorganic carbon, alkalinity, and nutrients to
the oceans. The resulting increase in the CaCO<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-C<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial
ratio lowered <inline-formula><mml:math id="M562" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and decreased <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">DIC</mml:mi></mml:msub></mml:math></inline-formula> (Ma et al.,
2011), and both lag behind eccentricity by <inline-formula><mml:math id="M566" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50 kyr, likely
due to the slow response of weathering to climate forcing. A re-evaluation
of foraminiferal Mg <inline-formula><mml:math id="M567" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca data from Site 1092 (Kuhnert et al., 2009) by
iterative correction between Mg <inline-formula><mml:math id="M568" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca and pH (Gray and Evans, 2019) revealed
that the Mg <inline-formula><mml:math id="M569" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca decrease starting <inline-formula><mml:math id="M570" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 180 kyr before Antarctic
ice-sheet expansion is too large to be mainly explained by a concomitant
increase in pH. Our data instead suggest that at <inline-formula><mml:math id="M571" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14.1 Ma
sea-surface temperatures in the Atlantic sector of the Southern Ocean
started to drop by <inline-formula><mml:math id="M572" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M573" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, supporting the notion
of Kuhnert et al. (2009) that ocean fronts migrated northwards well before
Antarctic glaciation. The concomitant <inline-formula><mml:math id="M574" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M575" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> decrease of <inline-formula><mml:math id="M576" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>atm between 14.08 and 13.87 Ma might have crossed a threshold
sufficiently to facilitate the inception of EAIS expansion at
<inline-formula><mml:math id="M578" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 13.9 Ma. The associated sea-level fall could have
accentuated the monsoon-driven carbon cycle changes through invigorated
deep-water ventilation, shelf-to-basin partitioning of carbonate burial, and
shelf weathering. The CO<inline-formula><mml:math id="M579" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise after the onset of EAIS expansion,
possibly caused by decreased weathering fluxes at low eccentricity and hence
net decrease in the CaCO<inline-formula><mml:math id="M580" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-to-C<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">org</mml:mi></mml:msub></mml:math></inline-formula> burial ratio and/or enhanced
deep-ocean circulation, could have acted as a negative feedback on the
progressing Antarctic glaciation. In this way, the radiative forcing due to
the temporary <inline-formula><mml:math id="M582" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M583" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> rise may have helped to stabilize the climate system
on its way to the late Cenozoic ice-house world. Our results highlight
the need for more high-resolution <inline-formula><mml:math id="M584" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<inline-formula><mml:math id="M585" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> records across the middle Miocene
climate transition.</p>
</sec>

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

      <p id="d1e5820">The boron isotope data collected for this study are available from Table S1, the tie points<?pagebreak page715?> used for the revised age model are listed in Table S2, and the modified R code of MgCaRB (Gray and Evans, 2019, <ext-link xlink:href="https://doi.org/10.1029/2018PA003517" ext-link-type="DOI">10.1029/2018PA003517</ext-link>) is available from Sect. S1 in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5826">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-17-703-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-17-703-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e5835">MR and JB conceived the study (conceptualization). MR carried out
measurements, analyzed the data, and performed data statistics (data
curation, formal analysis, investigation). JB provided access to analytical
instruments at AWI (resources). MR raised funding for the project (funding
acquisition). MR produced the figures for the manuscript (visualization)
and wrote the first draft of the manuscript (writing – original draft). All
authors interpreted, edited, and reviewed the manuscript (writing – review
and editing). MR, JB, TB, MS, AH, and MK interpreted the data, and edited and reviewed the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5841">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5847">We thank the Ocean Drilling Program for providing samples from ODP Leg 177
and Mara Maeke for washing the sediments and picking foraminifer shells. Albert Benthien, Beate Müller, Klaus-Uwe Richter, and Ulrike Richter are thanked for their
assistance in the lab.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5852">This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. RA 2068/3-1).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The article processing charges for this open-access publication were covered by the University of Bremen.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5861">This paper was edited by Appy Sluijs and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Atmospheric carbon dioxide variations across the middle Miocene climate transition</article-title-html>
<abstract-html><p>The middle Miocene climate transition  ∼ &thinsp;14&thinsp;Ma marks a fundamental step towards the current <q>ice-house</q> climate, with
a  ∼ &thinsp;1&thinsp;‰ <i>δ</i><sup>18</sup>O increase and a
 ∼ &thinsp;1&thinsp;‰ transient <i>δ</i><sup>13</sup>C rise in
the deep ocean, indicating rapid expansion of the East Antarctic Ice Sheet
associated with a change in the operation of the global carbon cycle. The
variation of atmospheric CO<sub>2</sub> across the carbon-cycle perturbation has
been intensely debated as proxy records of <i>p</i>CO<sub>2</sub> for this time interval
are sparse and partly contradictory. Using boron isotopes (<i>δ</i><sup>11</sup>B) in planktonic foraminifers from Ocean Drilling Program (ODP) Site 1092 in the South
Atlantic, we show that long-term <i>p</i>CO<sub>2</sub> varied at 402&thinsp;kyr periodicity
between  ∼ &thinsp;14.3 and 13.2&thinsp;Ma and follows the global <i>δ</i><sup>13</sup>C variation remarkably well. This suggests a close link to
precessional insolation forcing modulated by eccentricity, which governs the
monsoon and hence weathering intensity, with enhanced weathering and
decreasing <i>p</i>CO<sub>2</sub> at high eccentricity and vice versa. The  ∼ &thinsp;50&thinsp;kyr lag of <i>δ</i><sup>13</sup>C and <i>p</i>CO<sub>2</sub> behind eccentricity in our
records may be related to the slow response of weathering to orbital
forcing. A <i>p</i>CO<sub>2</sub> drop of  ∼ &thinsp;200&thinsp;µatm before 13.9&thinsp;Ma
may have facilitated the inception of ice-sheet expansion on Antarctica,
which accentuated monsoon-driven carbon cycle changes through a major
sea-level fall, invigorated deep-water ventilation, and shelf-to-basin shift
of carbonate burial. The temporary rise in <i>p</i>CO<sub>2</sub> following Antarctic
glaciation would have acted as a negative feedback on the progressing
glaciation and helped to stabilize the climate system on its way to the
late Cenozoic ice-house world.</p></abstract-html>
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