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  <front>
    <journal-meta><journal-id journal-id-type="publisher">CP</journal-id><journal-title-group>
    <journal-title>Climate of the Past</journal-title>
    <abbrev-journal-title abbrev-type="publisher">CP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Clim. Past</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1814-9332</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/cp-16-2401-2020</article-id><title-group><article-title>Evaluation of oxygen isotopes and trace elements in planktonic foraminifera from the Mediterranean Sea as recorders of seawater oxygen isotopes and salinity</article-title><alt-title>Evaluation of oxygen isotopes and trace elements in planktonic foraminifera</alt-title>
      </title-group><?xmltex \runningtitle{Evaluation of oxygen isotopes and trace elements in planktonic foraminifera}?><?xmltex \runningauthor{L.~K.~D\"{a}mmer et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Dämmer</surname><given-names>Linda K.</given-names></name>
          <email>linda.daemmer@nioz.nl</email>
        <ext-link>https://orcid.org/0000-0003-0891-9663</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>de Nooijer</surname><given-names>Lennart</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>van Sebille</surname><given-names>Erik</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2041-0704</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Haak</surname><given-names>Jan G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Reichart</surname><given-names>Gert-Jan</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Ocean Systems, NIOZ Royal Netherlands Institute for Sea Research, and <?xmltex \hack{\break}?> Utrecht University, Texel, the Netherlands</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Physics, Institute for Marine and Atmospheric research Utrecht (IMAU),<?xmltex \hack{\break}?> Utrecht University, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth Sciences, Faculty of Geosciences, Utrecht
University, Utrecht, the Netherlands</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Linda K. Dämmer (linda.daemmer@nioz.nl)</corresp></author-notes><pub-date><day>30</day><month>November</month><year>2020</year></pub-date>
      
      <volume>16</volume>
      <issue>6</issue>
      <fpage>2401</fpage><lpage>2414</lpage>
      <history>
        <date date-type="received"><day>17</day><month>February</month><year>2020</year></date>
           <date date-type="accepted"><day>17</day><month>September</month><year>2020</year></date>
           <date date-type="rev-recd"><day>11</day><month>September</month><year>2020</year></date>
           <date date-type="rev-request"><day>10</day><month>March</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Linda K. Dämmer et al.</copyright-statement>
        <copyright-year>2020</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/16/2401/2020/cp-16-2401-2020.html">This article is available from https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e134">The Mediterranean Sea is characterized by a relatively strong west to
east salinity gradient, which makes it an area suitable for testing the
effect of salinity on foraminiferal shell geochemistry. We collected
living specimens of the planktonic foraminifer <italic>Globigerinoides ruber albus</italic> to analyse the relation between element <inline-formula><mml:math id="M1" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios,
stable oxygen isotopes of their shells, and surface seawater salinity,
isotopic composition and temperature. The oxygen isotopes of sea
surface water also correlate with salinity in the Mediterranean during
winter, which is when sampling for this study took place. Seawater oxygen and hydrogen
isotopes are positively correlated in both the eastern and western
Mediterranean Sea, although the
relationship differs from previously reported values, especially in the eastern region. The slope between salinity and seawater oxygen isotopes is lower
than previously published results.  Still, despite the rather modest slope,
seawater and foraminiferal carbonate oxygen isotopes are correlated in
our dataset, albeit with large residuals and high residual
variability. This scatter could be due to either biological variability
in vital effects or environmental variability. Numerical models
backtracking particles show that ocean-current-driven mixing of particles
of different origins might dampen sensitivity and could result in an
offset caused by horizontal transport. Results show that Na <inline-formula><mml:math id="M2" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca is
positively correlated with salinity and independent of
temperature. As expected, foraminiferal Mg <inline-formula><mml:math id="M3" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca increases with temperature, which is in line with earlier calibrations, and in the high
salinity environment. By using living foraminifera during winter, the
previously established Mg <inline-formula><mml:math id="M4" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–temperature calibration is extended to
temperatures below 18 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, which is a fundamental
prerequisite of using single foraminifera for reconstructing past
seasonality.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\allowdisplaybreaks}?>
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e192">Ocean circulation plays an important role in the Earth's climate, as it
redistributes heat and also impacts global biogeochemical
cycles. Seawater temperature and salinity are key parameters for
reconstructing ocean circulation, as together they determine
seawater density and, in turn, large-scale circulation patterns,
including a substantial part of the meridional overturning
circulation. Reconstruction of past ocean environments largely relies
on so-called proxy calibrations in which a variable that can be
measured in the geological record is related to a target environmental
parameter. The incorporation of trace metals in foraminiferal shell
carbonate, for example, is a popular tool used to reconstruct past ocean
parameters. More specifically, the incorporation of Mg (often
expressed as the calcite's Mg <inline-formula><mml:math id="M6" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca) increases exponentially with
seawater temperature, as first observed in culture studies
(Nürnberg et al., 1996) and later confirmed by field calibrations
(Anand et al., 2003).</p>
      <p id="d1e202">In addition to temperature, salinity and inorganic carbon chemistry
also affect Mg <inline-formula><mml:math id="M7" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in some species of<?pagebreak page2402?> foraminifera (Allison et al.,
2011; Dueñas-Bohórquez et al., 2011; Geerken et al., 2018;
Gray et al., 2018; Hönisch et al., 2013; Kisakürek et al.,
2008; Lea et al., 1999). For the best possible accuracy, such effects
need to be corrected for when using foraminiferal Mg <inline-formula><mml:math id="M8" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca for the
reconstruction of temperature; this calls for independent proxies for
these other environmental parameters.</p>
      <p id="d1e219">Currently, salinity is often reconstructed through indirect
relationships with other variables, such as the ratio of stable oxygen
isotopes of seawater, which are recorded in planktonic foraminifera
(Rohling, 2007), although direct approaches have also recently been suggested (Wit et al., 2013; Bertlich et al., 2018). As the seawater
oxygen isotope ratio and salinity are both affected by evaporation and
precipitation, the two often are linearly related (Rohling, 2007; Bahr
et al., 2013), with their calibration depending on
local conditions. If foraminifera precipitate their calcite in
equilibrium with respect to seawater oxygen isotopes, their
<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> should reflect that of the seawater and, hence,
salinity.  However, as the seawater temperature affects stable oxygen
isotope fractionation during calcification (McCrea,
1950; Urey et al., 1951), independent temperature
reconstructions are needed to estimate seawater <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from
<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mtext>calcite</mml:mtext></mml:msub></mml:math></inline-formula> (Rohling, 2007). Independent
temperature reconstructions can be based on organic
proxies such as U<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">37</mml:mn><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> (Prahl and Wakeham, 1987),
TEX86 (Schouten et al., 2006) or the Mg <inline-formula><mml:math id="M14" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca of the foraminifera
themselves (Mashiotta et al., 1999; Elderfield and
Ganssen, 2000). The accuracy and precision of such
reconstructions is debated, because the propagation of errors from the combined
inaccuracies of the analyses and the uncertainties in calibrations due
to combining several proxies is difficult to assess and seems too
large for meaningful reconstructions of changes in salinity over time
(Rohling, 2007). Due to the lack of a suitable alternative
approach, the use of Mg <inline-formula><mml:math id="M15" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca to determine the temperature effect of
foraminiferal <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> continues to be applied in settings
that are prone to large changes in salinity, such as the Mediterranean
Sea. This calls for an independent in situ calibration in which all of the parameters involved are measured and are not determined by
proxy relationships.</p>
      <p id="d1e313">Culture experiments using the benthic, symbiont-barren <italic>Ammonia tepida</italic> (Wit et al., 2013) and the planktonic <italic>Globigerinoides ruber</italic> (pink) (Allen et al., 2016) have shown that Na incorporation in
foraminiferal shell carbonate is positively correlated with seawater
salinity. A field calibration confirmed this positive correlation for
the planktonic foraminiferal species <italic>G. ruber albus</italic> (Mezger
et al., 2016), as well as for <italic>Trilobatus sacculifer</italic>
(previously called <italic>Globigerinoides sacculifer</italic>) in the Red Sea
and the Atlantic Ocean (Mezger et al., 2016; Bertlich et al.,
2018). Comparison of Na <inline-formula><mml:math id="M17" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–salinity calibrations shows, however,
that absolute Na <inline-formula><mml:math id="M18" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values and sensitivities to salinity vary
between species (Mezger et al., 2016).</p>
      <p id="d1e347">When using field calibrations to constrain the accuracy and precision of
potential reconstruction approaches, it is important to also consider
the potential impact of lateral transport of foraminifera due to
(ocean) currents. Foraminifera collected at a specific sampling
location might actually have added the majority of their shell
carbonate at a different location and, hence, under different
environmental conditions, as they have been transported to the sampling
location. This may add to the uncertainty in the variable to
cross-correlate against or even introduce a bias in the resulting
calibration. Recently this has been suggested for dinoflagellate cysts
(Nooteboom et al., 2019) and planktonic foraminifera,
collected from the water column (Ganssen and Kroon, 1991), from
sediment (van Sebille et al., 2015) and also from sediment traps
(Steinhardt et al., 2014), but it can also be applied
to specimens collected living from the sea surface.</p>
      <p id="d1e350">Here, we used a plankton pump and seawater samples collected from the
Mediterranean Sea in January and February 2016 to test the viability of
deconvolving salinity from combined temperature and seawater oxygen
isotope reconstructions. We also investigate the potential of the
newly developed salinity proxy Na <inline-formula><mml:math id="M19" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in the Mediterranean Sea. Using
samples collected in winter, we also extend the calibration of Mg <inline-formula><mml:math id="M20" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
to seawater temperature for <italic>G. ruber albus</italic> towards its lower
temperature tolerance limits (14 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; Bijma et al.,
1990), which is essential for the application of this
species in past seasonality reconstructions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
      <p id="d1e390">During two cruises (NESSC cruises 64PE406 and 64PE407, RV <italic>Pelagia</italic>)
between 12 January and 25 February 2016, a total of 98 plankton
samples were collected from the surface waters of the Mediterranean
Sea along an east–west transect using a plankton pump system (Ottens,
1992). Surface water was continuously pumped onboard from
a water depth of 5 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and led through a plankton net with
100 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> mesh size. Replacing the cod end every 6 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>
(filtering 57 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of seawater on average, constantly
monitored using a water gauge), accumulated samples were washed out of
the net into a 90 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> sieve, rinsed thoroughly with
deionized water to remove smaller particles and salts, and
subsequently stored onboard at <inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>80 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. At NIOZ, all
plankton samples were then freeze-dried, and dry oxidation by low-temperature ashing (100 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) was used to combust the
organic material while minimizing the potential impacts on carbonate trace
metal concentrations and <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Fallet et al.,
2009). After ashing, samples were rinsed again
thoroughly with deionized water and ethanol to remove potential ash
residues. A variety of samples containing specimens of
<italic>G. ruber</italic> <italic>albus</italic> (Morard et al., 2019) were selected to
cover a large range of salinities and temperatures. Specimens used for
analyses were selected from the size fraction between 150 and 250 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>,
even though it has been reported that
<italic>G. ruber albus</italic> and <italic>Globigerinoides elongatus</italic> cannot
always be confidently distinguished at this size fraction due to similar morphology  (Aurahs
et al., 2011).<?pagebreak page2403?> Surface seawater samples for stable oxygen isotopes
were collected every 60 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> from the same pump, resulting in a
set of 309 samples. A volume of 2 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi></mml:mrow></mml:math></inline-formula> was stored without
headspace at 4 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> during the cruise to be analysed at
the home laboratory.</p>
      <p id="d1e540">The elemental ratios of the final foraminiferal chamber (named the
F-chamber) of individual shells were measured by laser ablation
quadrupole inductively coupled plasma mass spectrometry (LA-Q-ICP-MS)
using a circular spot with a diameter of 60–80 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>,
depending on the size of the last chamber. The laser system (NWR193UC,
New Wave Research) at NIOZ was used in combination with a
two-volume sample cell (TV2), which allows for the detection of variability in
elemental ratios within the foraminiferal chamber wall due to a short
wash-out time of 1.8 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (van Dijk et al., 2017). Ablating only F-chambers minimizes the sampling of older carbonate
that might have formed under different environmental conditions due to
lateral and vertical transport. All specimens were ablated with an
energy density of <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and a repetition rate of
6 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> in a helium environment. A 0.7 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> helium
flow transported the resulting aerosol to an in-house custom-built smoothing
device before entering the quadrupole ICP-MS (iCAP Q, Thermo Fisher
Scientific).  Masses of <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula>Li, <inline-formula><mml:math id="M42" 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="M43" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">23</mml:mn></mml:msup></mml:math></inline-formula>Na, <inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">24</mml:mn></mml:msup></mml:math></inline-formula>Mg, <inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">25</mml:mn></mml:msup></mml:math></inline-formula>Mg, <inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">27</mml:mn></mml:msup></mml:math></inline-formula>Al, <inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">43</mml:mn></mml:msup></mml:math></inline-formula>Ca, <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">44</mml:mn></mml:msup></mml:math></inline-formula>Ca,
<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">57</mml:mn></mml:msup></mml:math></inline-formula>Fe, <inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">88</mml:mn></mml:msup></mml:math></inline-formula>Sr, <inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">137</mml:mn></mml:msup></mml:math></inline-formula>Ba and <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup></mml:math></inline-formula>U were monitored, and 44Ca served as an internal
standard for the quantification of the associated elements. The synthetic
carbonate standard MACS-3 was used for calibration; in addition,
carbonate standards JCp-1, JCt-1 and NFHS-1 (NIOZ foraminifera house
standard; Mezger et al., 2016) as well as glass standards SRM NIST610
and NIST612 were used for monitoring data quality. The accuracy of the
analyses was 97 %, while the precision was 3.0 % for Mg and 2.4 %
for Na measurements.</p>
      <p id="d1e726">Stable oxygen and carbon isotopes of foraminiferal calcite were
measured on groups of whole specimens different from those used for
LA-Q-ICP-MS, using an automated carbonate device (Kiel IV, Thermo Scientific) which was connected to a Thermo Finnigan MAT 253 dual-inlet isotope
ratio mass spectrometer (IRMS). The NBS 19 limestone was used as a
calibration standard, and the NFHS-1 standard was used for drift detection
and correction. The standard deviation and offset of the NBS19 and the
NFHS-1 were always within 0.1 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e750">Due to the large amount of material required (20 to 40 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>)
and the small amount of specimens present in the samples, specimens
from different samples sometimes needed to be combined. This resulted,
for example, in combining 12 and 8 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of foraminifera from
two adjacent transects; hence, the average temperature, salinity
and <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> seawater for these transects was calculated
based on the relative contribution of the foraminiferal weight of the
individual transects (i.e. 60 % and 40 % respectively). Seawater oxygen and hydrogen stable isotopes were analysed with the
liquid water isotope analyser (LWIA; Los Gatos Research, Model
912-0008). This system measures the water samples using off-axis
integrated-cavity output spectroscopy (OA-ICOS). The LWIA was
connected with a GC PAL autosampler (CTC Analytics) to inject 1 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>
per measurement. To achieve this, the GC PAL autosampler was equipped with a
1.2 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> Hamilton syringe. In-house standards (S35, S45, NSW,
LGR5 and double-distilled water) were calibrated against VSMOW2 (Vienna Standard Mean Ocean Water 2),
VSLAP2 (Vienna Standard Light Antarctic Precipitation 2) and GISP2 (Greenland Ice Sheet Precipitation) obtained from the International Atomic Energy Agency in Vienna using
the same set-up. The use of VSMOW2, which has
<inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values identical to the older SMOW (Standard Mean Ocean Water) standard,
allows for simple comparison with older data that were calibrated using
SMOW, without additional corrections. Every sample and standard was
measured 14 times sequentially: the first four runs were only used to
flush the system, whereas the last 10 measurements were used for the
analysis. Additionally, the sample
introduction line was rinsed with double-distilled water between every sample or standard. Data were
processed with LGR LWIA (Los Gatos Research Liquid Water Isotope Analyzer) post processor software v. 3.0.0.88. The average
standard deviation per sample was 0.14 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> for oxygen
isotope measurements and 0.71 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> for hydrogen isotope
measurements.</p>
      <p id="d1e837">The likely provenance of the foraminifera sampled was computed by
backtracking virtual particles in a high-resolution ocean model. For
this, we used the Copernicus Marine Environmental Monitoring Service
(CMEMS) Global Reanalysis model. The ocean surface currents,
temperature and salinity are available at a daily temporal resolution and a <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> horizontal resolution. In these fields, we
backtracked particles using the OceanParcels v2.1.1 software (Lange
and van Sebille, 2017; Delandmeter and van Sebille,
2019). We released 10 000 particles at equal
spacing between the start and end locations of 25 of the transects
(i.e. all for which there were sufficient foraminiferal specimens for
isotope analysis), on the day these transects were sampled, and
tracked the particles back for 30 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> with a fourth-order
Runge–Kutta algorithm with a 1 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> time step, storing local
temperature, salinity and location for each particle every day. To
avoid beaching of particles, we used an “unbeaching kernel” similar to
that in Delandmeter and van Sebille (2019). The full code of the
simulations is available at
<uri>https://github.com/OceanParcels/MedForams_Daemmer/</uri> (last access:
25 September 2020).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Mediterranean Sea geochemistry</title>
      <p id="d1e895">The sampled east–west transect spans a salinity gradient from 39.2 to
36.2 and an accompanying temperature gradient from
19 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (east) to 14 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. The
6 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> intervals represented a distance of
57 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (min. 0 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, max. 117 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) on average.<?pagebreak page2404?> This
resulted in an internal variability of 0.14 salinity units and
0.33 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for each of the 98 transects on average.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e969">The <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of the Mediterranean surface seawater is
positively correlated with the local <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The orthogonal
regression of the western Mediterranean can be described as <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mtext>water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4.72</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>water</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.67</mml:mn></mml:mrow></mml:math></inline-formula> (dark green). The
eastern Mediterranean is very similar to the western basin, and the relationship
between seawater <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.19</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>water</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.68</mml:mn></mml:mrow></mml:math></inline-formula> (light green) here.
Statistically they cannot be told apart. This was determined using a
bootstrapping approach that generated 100 slopes and intercepts for both the
eastern and the western dataset and subsequent <inline-formula><mml:math id="M81" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> testing using the mean and
standard deviation of both groups of slopes and intercepts, which resulted
in <inline-formula><mml:math id="M82" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values <inline-formula><mml:math id="M83" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05. In both areas, the relationship is different
from the observations made by Gat et al. (1996), whose dataset suggested no
statistically significant relationship between <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of the seawater (<inline-formula><mml:math id="M86" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M87" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f01.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1161">Surface seawater <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is positively correlated with
sea surface salinity in the Mediterranean Sea, and the relationship observed can
be described as linear regression <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.39</mml:mn></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M91" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M92" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001, adjusted <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula>). Previously published
data can be combined into one dataset with a similar relationship with a
slightly steeper slope, which is offset towards relatively higher <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.19</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M97" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M98" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001, adjusted <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.48</mml:mn></mml:mrow></mml:math></inline-formula>). The two regression lines are significantly
different from each other (ANOVA <inline-formula><mml:math id="M100" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M101" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01).</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f02.png"/>

        </fig>

      <p id="d1e1339">Measured seawater <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> values show a range from
2.83 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to 9.46 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> VSMOW in the western
Mediterranean Sea and from 5.98 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to
11.15 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> VSMOW in the east. Values from the individual
transects were used in combination with the <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub></mml:math></inline-formula> to check for internal consistency
(Fig. 1). The <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values of the seawater vary between
0.13 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> and 2.29 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> VSMOW in the west and
between 0.73 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> and 2.43 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> VSMOW in the
east (Fig. 1). In our dataset, <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of
the water are positively correlated in both the western and eastern
regions of the Mediterranean Sea (Fig. 1). The sensitivities of the
<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> correlations are
indistinguishable. The seawater oxygen isotopes are also linearly
correlated with seawater salinity (Fig. 2) and do not show an offset
between the eastern and western basins (<inline-formula><mml:math id="M118" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M119" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001; <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Foraminiferal geochemistry</title>
      <p id="d1e1536">The foraminiferal oxygen isotope ratios
(<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula>) range from
<inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41 <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> to 0.68 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> and are significantly
correlated with the seawater oxygen isotope ratio (Fig. 3a), albeit
with much scatter (<inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.42</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M127" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M128" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001). The <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula> are also positively correlated with sea
surface salinity (Fig. 3b), showing a similarly large amount of
scatter (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M132" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M133" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1666"><italic>G. ruber albus</italic> <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measurements are positively correlated (<inline-formula><mml:math id="M135" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M136" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001) with both seawater <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and salinity <bold>(b)</bold>.
The relationships can be described using the following equations: <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.59</mml:mn></mml:mrow></mml:math></inline-formula> (adjusted <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.42</mml:mn></mml:mrow></mml:math></inline-formula>) and
<inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>water</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.89</mml:mn></mml:mrow></mml:math></inline-formula>
(adjusted <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula>). The relationship between <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub></mml:math></inline-formula> and salinity in this subset of samples is linear and
comparable to that of the entire dataset (<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>water</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.91</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M148" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M149" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Na\,$/$\,Ca vs. salinity}?><title>Na <inline-formula><mml:math id="M151" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca vs. salinity</title>
      <p id="d1e1932">Na <inline-formula><mml:math id="M152" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values measured on individual F-chambers of <italic>G. ruber albus</italic> from the Mediterranean Sea range from 6.8 to
12.7 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and are positively correlated with sea
surface salinity (Fig. 4a). The variability between individuals
(1–2 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) observed within transects is orders of
magnitude higher than the analytical uncertainty (RSD, relative standard deviation, of 5 %) and
is also higher than the uncertainty in the slope of the
Na <inline-formula><mml:math id="M155" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–salinity calibration (Fig. 4a).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1988"><bold>(a)</bold> Na <inline-formula><mml:math id="M156" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca measured in <italic>G. ruber albus</italic> F-chambers collected as living specimens
from the eastern and western Mediterranean Sea correlates well with local
salinity (<inline-formula><mml:math id="M157" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M158" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001, <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn><mml:mo>×</mml:mo><mml:mi>S</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.84</mml:mn></mml:mrow></mml:math></inline-formula>), even though a
large natural spread of the elemental composition around the mean values per
station exists (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula>). For salinities with more than five individual
Na <inline-formula><mml:math id="M161" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca measurements, hollow circles with whiskers indicate average values and
standard deviations respectively. <bold>(b)</bold> Mg <inline-formula><mml:math id="M162" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in F-chambers of <italic>G. ruber albus</italic> specimens collected from
the water column of the Mediterranean Sea is positively correlated with sea
surface temperature and can be described with the following exponential relationship:
<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn><mml:mo>×</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn><mml:mo>×</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>). For temperatures with more than five individual
Mg <inline-formula><mml:math id="M164" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca measurements, hollow circles with whiskers indicate average values and
standard deviations respectively. Regression lines were calculated using all individual
data points.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><?xmltex \opttitle{Mg\,$/$\,Ca vs. temperature}?><title>Mg <inline-formula><mml:math id="M165" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca vs. temperature</title>
      <p id="d1e2137">Mg <inline-formula><mml:math id="M166" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values measured on individual F-chambers of <italic>G. ruber albus</italic> from the Mediterranean Sea range from 1.34 to
7.63 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and are positively correlated with  sea surface temperatures measured in situ, although the temperature range
sampled during wintertime was rather narrow (Fig. 4b).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Particle backtracking</title>
      <p id="d1e2176">Particle backtracking shows that foraminifera collected at each
transect might actually have travelled long distances within the
30 <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> prior to sampling at the sample locations. The length of
the modelled trajectories varies greatly from location to location,
ranging between 200 and 500 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. This resulted in a variabilities
(SD, standard deviation) within one transect ranging from 0.11 to 1.0 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
and from 0.03 to 0.4 salinity units.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><?xmltex \opttitle{Salinity, {$\protect\chem{\delta^{{18}}O}$} and {$\protect\chem{\delta D}$} of the seawater}?><title>Salinity, <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of the seawater</title>
      <p id="d1e2248">A single uniform and stable trend in seawater stable isotopes with
salinity is a prerequisite for reconstructing past salinities. This is
important not only when using the stable oxygen isotopes measured on
foraminiferal shell carbonates but also for the interpretation of the
hydrogen isotopic composition of alkenones, which are also used as
proxies for palaeo-salinity (Schouten et al., 2006; Vasiliev et al.,
2013; Weiss et al., 2017).</p>
      <p id="d1e2251">The data presented here substantially increase the amount of data on
the relation between salinity and water isotopes of the Mediterranean
(Fig. 2).  Although the new data clearly overlap with existing data,
we also observe slight but statistically significant differences in
the average salinity to <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> relationship for the
different datasets. The overall lower <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values of
seawater measured here compared with the combined set of surface seawater isotopes from Stahl and Rinow (1973), Pierre et al. (1986), Gat
et al. (1996), Pierre (1999) and Cox (2010) of approximately
0.3 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">‰</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 2) may be explained by inter-decadal,
seasonal and geographical variability between sample sets, or by a
combination of these factors. Importantly, such offsets also give a
first-order indication of the limit to the accuracy and precision of
reconstructions of past salinity using a combined temperature–stable
isotope approach from the primary relationship used.</p>
      <p id="d1e2288">Although Gat et al. (1996) reported a markedly different <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> relationship for the eastern Mediterranean Sea
compared with that of the western Mediterranean Sea, our results show no
sign of such a longitudinal discontinuity for the same area
(Fig. 2). This implies that the water isotopic composition of the
entire Mediterranean Sea can primarily be described by a single mixing
line between two end-members, with high vs. lower salinity
respectively. The remarkable trend in <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> observed previously by Gat et al. (1996) was explained
as a deuterium excess effect due to a combination of the composition
of the lowermost air vapour and mixing with the enriched surface
waters, which is most notable in winter months.  The discrepancy in the
<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> relationship observed between our data
and those of Gat et al. (1996) may be due to inter-decadal variability
in the hydrological cycle or differences in seasonal
coverage. Thus, the observations of Gat et al. (1996) were potentially
related to unusual conditions, spatially restricted features
not covered by our sampling locations or the fact that the hydrological cycle in the
eastern Mediterranean has recently changed considerably. Either way,
the observed offset between the western and the eastern basins is
apparently not stable and should, therefore, probably not be considered
when using Mediterranean stable isotope signatures for reconstructing
palaeo-salinities.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2351">The ratio of Na <inline-formula><mml:math id="M179" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in <italic>G. ruber albus</italic> appears to be independent of seawater
temperature. While Mezger et al. (2016) showed a negative relationship
between temperature and foraminiferal Na <inline-formula><mml:math id="M180" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in specimens collected from the
Red Sea, the addition of new data from the Mediterranean Sea clearly shows
that the previously hypothesized negative impact of temperature on Na <inline-formula><mml:math id="M181" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca is
likely an artefact of the negative relationship of temperature and salinity
in the Red Sea and that temperature has no significant impact on Na <inline-formula><mml:math id="M182" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f05.png"/>

        </fig>

</sec>
<?pagebreak page2405?><sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Na\,$/$\,Ca vs. salinity}?><title>Na <inline-formula><mml:math id="M183" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca vs. salinity</title>
      <p id="d1e2407">The Na <inline-formula><mml:math id="M184" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios measured on the carbonate shells of
<italic>G. ruber albus</italic> from the Mediterranean Sea are significantly
and linearly correlated with salinity (Fig. 4a). This relationship is
similar to the one previously reported for plankton pump-collected
<italic>G. ruber albus</italic> from the Red Sea (Mezger et al., 2016).
Mezger et al. (2016) suggested that there might a combined effect of
different environmental factors such as carbonate chemistry, salinity
and temperature on the Na <inline-formula><mml:math id="M185" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values in the field-collected
specimens. It is not possible to decouple these factors in the Red Sea
as they are strongly related. In contrast to the Red Sea where
there is a strong negative correlation between salinity and
temperature, the Mediterranean sea surface salinity and temperature
are positively correlated with each other; thus, comparing our data to that of
Mezger et al. (2016) allows for the temperature to be decoupled from salinity (Fig. 5). This shows that the correlation between foraminiferal
Na <inline-formula><mml:math id="M186" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values and temperature observed in the Red Sea was not causal
and was more likely caused by salinity (Mezger et al., 2016). If
temperature would have a significant effect on the Na <inline-formula><mml:math id="M187" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values in
<italic>G. ruber albus</italic>, we would expect different slopes and/or
offsets for the Na <inline-formula><mml:math id="M188" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca to salinity calibrations for the Mediterranean
Sea and Red Sea. This implies that temperature has no or only a minor
impact on Na <inline-formula><mml:math id="M189" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios in <italic>G. ruber albus</italic> shells, which is
in line with similar findings that have shown a lack of a temperature effect on
the Na <inline-formula><mml:math id="M190" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca of <italic>T. sacculifer</italic> (Bertlich et al., 2018). The
average standard deviation in Na <inline-formula><mml:math id="M191" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values for a given salinity
corresponds approximately to 2 salinity units, using the calibration
given here (Fig. 4a). This large variability is similar to the
inter-chamber and inter-specimen variability in other El <inline-formula><mml:math id="M192" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios,
such as in Mg <inline-formula><mml:math id="M193" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca reported by Sadekov et al. (2008),
and appears to be inherent to single-chamber El <inline-formula><mml:math id="M194" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca (de Nooijer
et al., 2014b). It has been suggested that such variability between
individuals and also between different chambers of the same
individual may be caused by differences in the living depth and, hence,
environmental conditions (Mezger et al., 2018), lateral transport
(van Sebille et al., 2015) or variability in element incorporation
during biomineralization due to vital effects (Erez, 2003; de Nooijer
et al., 2014a; Spero et al., 2015), or individual timing of chamber
formation (Dämmer et al., 2019).  As the specimens used here were
collected from surface waters and add new chambers very frequently,
vertical or lateral migration into waters with significantly different
conditions as suggested by Mezger et al. (2018) and Van<?pagebreak page2406?> Sebille
et al. (2015) appears to be an unlikely cause of heterogeneity
between specimens in this case. The relatively large scatter in the
Na <inline-formula><mml:math id="M195" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values observed for single chambers (Fig. 4a) implies that
accurate and precise reconstructions of salinity can only be based on
combining a substantial number of specimens (Wit et al., 2013).</p>
      <p id="d1e2511">If salinity is reconstructed from the Na <inline-formula><mml:math id="M196" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca measurements using the
calibration published by Mezger et al. (2016) and compared
to salinity measured in situ in the Mediterranean Sea, the
reconstructed salinity follows the in situ measurements closely, almost
<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> The largest deviation from this <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> relationship occurs in
the lower salinity range: at a salinity of 36.52, the reconstructed
salinity estimates underestimate in situ salinity values by 0.71 salinity units. The
average difference between in situ salinity measurements and salinity
reconstructed based on one single-chamber<?pagebreak page2407?> measurement is an
underestimation of salinity by 0.46 salinity units. This is still
higher than the theoretical uncertainty associated with combining
foraminiferal <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and temperatures derived from
Mg <inline-formula><mml:math id="M200" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca measured for exactly the same specimens (Rohling, 2007). An
uncertainty (1SD) of 1 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the Mg <inline-formula><mml:math id="M202" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–temperature
calibration (which may be particularly optimistic at high seawater
temperatures) would result in an uncertainty of <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula> units for
the reconstructed difference between the two salinities. This approach
would lead to an improved salinity reconstruction when the (change in)
past temperatures are determined more precisely, for example, by
reducing the error through increased sample size. The same applies for
salinity reconstructions based on Na <inline-formula><mml:math id="M204" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca, for which a limited number of calibrations are available, and, hence, leaves room for improvement.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2606">The relationship between Mg <inline-formula><mml:math id="M205" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in <italic>G. ruber albus</italic> and temperature during
calcification can be described using the following exponential equation for a temperature range from 15.1 to
29.1 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>:
<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.278</mml:mn><mml:mo>×</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.093</mml:mn><mml:mo>×</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f06.png"/>

        </fig>

      <p id="d1e2667">While these reconstructions and the lack of a strong
temperature effect are very encouraging results for the use of Na <inline-formula><mml:math id="M208" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
as a salinity proxy, the incorporation of Na into<?pagebreak page2408?> foraminiferal
calcite does not appear to be homogenous across the entire shell. It
has been shown that the majority of Na in <italic>G. ruber albus</italic> is
located in the spines (Mezger et al., 2018, 2019), which are not well
preserved in the fossil record.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{\textit{G. ruber albus} Mg\,$/$\,Ca values}?><title><italic>G. ruber albus</italic> Mg <inline-formula><mml:math id="M209" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values</title>
      <p id="d1e2698">The increase in Mg <inline-formula><mml:math id="M210" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in <italic>G. ruber</italic> <italic>albus</italic> with
temperature (Fig. 4b) fits recent calibration efforts for
Mg incorporation and for temperature (e.g. Gray et al., 2018). As
salinity and inorganic carbon chemistry also both affect Mg
incorporation in this species (Kisakürek et al., 2008; Gray
et al., 2018), and the Mediterranean exhibits large gradients in these
parameters, it is necessary to correct measured Mg <inline-formula><mml:math id="M211" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values for
these parameters. After normalizing Mg <inline-formula><mml:math id="M212" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values to a seawater
salinity of 35, using the calibration of Gray et al. (2018), the
dependency of the Mg <inline-formula><mml:math id="M213" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca on temperature is similar to previously
reported calibrations (e.g. Gray et al., 2018), although the Mg <inline-formula><mml:math id="M214" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca
values at the lowermost temperatures appear to be higher than
expected (Fig. 6). This could potentially be caused by a combination
of an underestimation of the salinity effect in these highly saline
waters, as salinities observed here are well outside the
calibration range used by Gray et al. (2018), and low temperatures, which
have comparatively little impact on the foraminiferal Mg <inline-formula><mml:math id="M215" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca.</p>
      <p id="d1e2750">Adding our results to published Mg <inline-formula><mml:math id="M216" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–temperature calibrations for
<italic>G. ruber albus</italic> (Anand et al., 2003; Babila et al., 2014;
Fallet et al., 2010; Friedrich et al., 2012; Gray et al., 2018;
Haarmann et al., 2011; Huang et al., 2008; Kisakürek et al., 2008;
Mathien-Blard and Bassinot, 2009; McConnell and Thunell, 2005; Mohtadi
et al., 2009) now extends the combined calibration to lower
temperatures (i.e. <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), maintaining a
comparatively low temperature sensitivity in the colder part of the
calibration (Fig. 6). This not only increases confidence in the
application of Mg <inline-formula><mml:math id="M219" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in this species as a palaeo-temperature
reconstruction tool for colder temperatures but also supports the
application of individual foraminiferal Mg <inline-formula><mml:math id="M220" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values for
reconstructing seasonality (Wit et al., 2010). Although low densities have previously been reported for
<italic>G. ruber albus</italic> in the Mediterranean Sea during wintertime,
including their absence in large areas (Pujol and Grazzini,
1995; Bárcena et al., 2004), our
finding implies that the lowest Mg <inline-formula><mml:math id="M221" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values can be related to winter
temperatures. <italic>G. ruber albus</italic> is not only present throughout
the year, as also shown by Rigual-Hernández et al. (2012) and
Avnaim-Katav et al. (2020), but it also registers the in situ
temperature, even during seasons that are close to its lower
temperature limit. Admittedly, the large scatter also observed at one
single sampling time (i.e. season) makes the deconvolution of
seasonality from analysing single specimen Mg <inline-formula><mml:math id="M222" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values challenging.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e2822"><bold>(a)</bold> Example of backtracked pathways for a single transect (the
area marked using a white rectangle in panel <bold>c</bold>). The colour indicates the time
before sampling up to 30 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>. <bold>(b)</bold> Analysing the different environmental
conditions at the different locations of these potential paths shows that the
foraminifera sampled very likely experienced a large range of temperatures
and salinities. <bold>(c)</bold> The variability in the potential
environmental conditions experienced changes considerably from location to location, as
indicated by notation of 1 standard deviation for both parameters for each
sampling location. The maps in panels <bold>(a)</bold> and <bold>(c)</bold> were generated using Ocean Data View
version 4.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><?xmltex \opttitle{{$\protect\chem{\delta^{{18}}O}$}${}_{{\text{foraminifer}}}$}?><title>
          <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
          <inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula>
        </title>
<sec id="Ch1.S4.SS4.SSS1">
  <label>4.4.1</label><?xmltex \opttitle{Role of lateral transport on {$\protect\chem{\delta^{{18}}O}$}${}_{{\text{foraminifer}}}$}?><title>Role of lateral transport on <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula></title>
      <p id="d1e2916">The horizontal transport of planktonic foraminifera may increase their exposure
to variable environmental conditions, including different
temperatures, salinities and seawater<?pagebreak page2409?> stable isotope compositions (van
Sebille et al., 2015). Comparing the sampled transects with the
calculated backtracking trajectories shows that the area where the
foraminifera might be derived from, especially close to
the straits (Alboran Sea and Strait of Sicily), potentially extends over
considerable distances and, therefore, encompasses considerable variability with respect to environmental
parameters. Due to the surface variability in temperature and salinity
during the sampling period, the calculated variability in these
parameters varied between 0.11 and 1.03 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> per
transect and 0.04 and 0.39 salinity units per transect (Fig. 7b, c). This means that the majority of foraminifera experienced a
variability of approximately 0.5 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and 0.15 salinity
units.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e2945">The relationship between <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> measured
in the Mediterranean Sea and <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> calculated from
foraminiferal geochemistry (<italic>G. ruber albus</italic>). The relationship shown with dashed lines and
cross-shaped markers represents values calculated using foraminiferal
<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> as well as Mg <inline-formula><mml:math id="M235" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca as an additional temperature proxy to
decouple the effect of temperature and salinity on <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The
relationship shown with the continuous lines and circular markers shows the
same samples; however, instead of using temperature values derived from
foraminiferal Mg <inline-formula><mml:math id="M237" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios, in situ measurements for temperature were used, and
the relationship can be described as <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>water_reconstructed</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.62</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.69</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>water_measured</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">63.99</mml:mn><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">26.11</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with an adjusted <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of 0.37. The temperature gradient was
2.2 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/2401/2020/cp-16-2401-2020-f08.png"/>

          </fig>

      <p id="d1e3124">When considering calibrations, this does not affect the measured
proxy variables, as the difference may be unbiased, but it adds to
the uncertainty of the environmental parameter to be
reconstructed. As foraminifera grow by periodically adding chambers
and as the size of the added chambers increases exponentially in
many species, the carbonate added closer to the sampling location
makes up a larger proportion of the total shell mass than carbonate
added at earlier life stages. Therefore, chambers formed early during
a foraminifer's life have less impact on the average shell composition; hence, the calibration and the backtracking trajectories
(Fig. 7a–c) indicate the largest possible range of conditions
experienced by a single foraminifer. This is relevant when considering
whole-shell chemistry (i.e. oxygen isotopes; Fig. 4a) and, to a lesser
extent, when considering the elemental composition of the final
chamber (Fig. 4b). The last chamber is affected by a much smaller
range of environmental conditions, i.e. only the time span during which
the<?pagebreak page2410?> final chamber was built – not more than a few days prior to
sampling.</p>
      <p id="d1e3128">Because <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of the calcite could not be measured on
F-chambers alone, as for element <inline-formula><mml:math id="M243" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca ratios, and several specimens
were needed for a single analysis, the results reflect the average composition
of foraminiferal populations at the sampling areas. The averaging
effectively cancels out differences due to inter- and intra-individual
variability but not offsets due to lateral transport. When transport
directions are largely uniform, this result in biases and should not
add to the scatter in the calcite's isotope composition. Hence, this
transport affects the calibration, but it does not affect precision.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS2">
  <label>4.4.2</label><title>Implications for proxies</title>
      <p id="d1e3159">Combining existing calibrations for foraminiferal Mg <inline-formula><mml:math id="M244" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca and
temperature (Gray et al., 2018) and calibrations relating
<inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M246" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula> with temperature (Mulitza
et al., 2003), the <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> can be
calculated. Using our dataset, we assess the quality of such
reconstructions by comparison to measured <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> (Fig. 8). The Mg <inline-formula><mml:math id="M251" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca values used here
were not corrected for salinity effects, as salinity is the target
parameter that has to be reconstructed and is, thus, treated as
unknown. Even though there is a carbonate ion effect on the Mg <inline-formula><mml:math id="M252" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in
<italic>G. ruber albus</italic> (Evans et al., 2016; Gray et al., 2018;
Kisakürek et al., 2008), the measured values were not corrected
for this, as this factor is also unknown in palaeo-reconstructions.</p>
      <p id="d1e3250">Calculated and measured <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> do not
follow a <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> correspondence; this could be caused by uncertainties
in the different proxy calibrations, analytical uncertainties,
the heterogeneous element and isotope composition within and between
specimens; variability in the location and timing of their
calcification; and the effect of salinity and pH on Mg <inline-formula><mml:math id="M256" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca.  The lack
of a strong correlation between calculated and measured
<inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M258" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> in our dataset implies that
calculating salinity from reconstructed
<inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M260" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> values will not yield
meaningful salinity reconstructions, as reconstructed values for
<inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> are not well correlated with <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> measured in
situ. Calculating
salinities from <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M266" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> clearly adds
much uncertainty due to spatial and temporal variability in the
correlation of these two parameters (Conroy et al., 2017; LeGrande and
Schmidt, 2006; McConnell et al., 2009).</p>
      <?pagebreak page2411?><p id="d1e3399">It is important to note that the scatter in the foraminiferal
chemistry can only be explained by lateral transport to a small degree
(Fig. 7). This effect may be larger in areas where the environmental
conditions vary more strongly over the distance travelled by the
foraminifer and/or in basins where there is simply more lateral
transport over the foraminifers' lifetime. In our exercise, the
calculated trajectories add only a minor component to the uncertainty
in <inline-formula><mml:math id="M267" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> (often within 0.75 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. 7) and salinity
(often within 0.25 salinity units).</p>
      <p id="d1e3421">In our dataset, the uncertainty in salinity estimates based on
<inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> is much smaller when using temperatures measured in
situ (Fig. 8). The sum of squares of the
residuals (the difference between reconstructed and measured values) is
9.04 when using temperatures derived from Mg <inline-formula><mml:math id="M271" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca and
<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mtext>foraminifer</mml:mtext></mml:msub></mml:math></inline-formula> but only 3.56 when using
temperatures measured in situ, indicating a better reconstruction.</p>
      <p id="d1e3474">This shows that the uncertainty or offset in temperatures derived from
Mg <inline-formula><mml:math id="M274" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca, although the Mg <inline-formula><mml:math id="M275" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca–temperature relationship has been studied
relatively extensively for <italic>G. ruber albus</italic>, is most likely the
most limiting step. Even though temperatures
reconstructed from Mg <inline-formula><mml:math id="M276" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in our dataset deviated less than 2 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>
from the measured temperature, these small offsets have a large effect
on the reconstructed <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula>. Thus, it is
crucial to choose temperature proxies carefully, use a large
enough number of specimens for analysis, be aware of the potential
effects of lateral particle transport as well as other environmental
parameters, and to be conscious about how errors propagate in
palaeoclimate reconstructions.</p>
      <p id="d1e3535">Combining all foraminiferal shell chemistry results show that
salinities based on <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and Mg <inline-formula><mml:math id="M281" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca may allow for the calculation of past salinity under some
specific conditions, but the
uncertainties in <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M283" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> are large,
even in a setting with a large salinity gradient such as the
Mediterranean Sea. This is in line with predictions of uncertainty
based on theoretical considerations (Rohling, 2007). The most limiting
step in these calculations is the reconstruction of past temperatures,
which should be better than 2<inline-formula><mml:math id="M284" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. Therefore, the development, validation
and improvement of other, more direct salinity proxies such as
foraminiferal Na <inline-formula><mml:math id="M285" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca remains crucial for more reliable
palaeo-salinity reconstructions.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3605">Using plankton pump samples from the Mediterranean Sea, we showed the following:
<list list-type="order"><list-item>
      <p id="d1e3610">The relationship of Mg <inline-formula><mml:math id="M286" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca in <italic>G. ruber albus</italic> and seawater temperature at lower temperatures follows an exponential
relationship; therefore, the proxy can now be applied to lower
temperature ranges (<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) than before, covering
almost the entire temperature tolerance range of that species, although the sensitivity of the calibration is comparatively low at low
temperatures.</p></list-item><list-item>
      <p id="d1e3646">The combination of foraminiferal <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
and Mg <inline-formula><mml:math id="M290" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca along with assumptions about
<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M292" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula> values and
<inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mtext>seawater</mml:mtext></mml:msub></mml:math></inline-formula>–salinity relationships does
not lead to useful reconstructions of seawater salinity.</p></list-item><list-item>
      <p id="d1e3712">Foraminiferal Na <inline-formula><mml:math id="M295" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca correlates well with sea surface salinity and is
independent of temperature, making it a potentially valuable tool
for salinity reconstructions.</p></list-item></list></p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3726">Upon publication, the data on which this paper is
based will be available at the 4TU.Centre for Research Data
(<ext-link xlink:href="https://doi.org/10.4121/13246616.v1" ext-link-type="DOI">10.4121/13246616.v1</ext-link>, de Nooijer et al., 2020.).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3735">LKD, LdN and GJR designed the study and performed the
sample collection. LKD and JGH prepared and processed the samples and the
corresponding data. EvS performed the particle backtracking. All authors
were involved in data interpretation. LKD drafted the paper with
contributions from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3741">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3747">We thank the editor as well as Michal Kucera and a second,
anonymous referee for their comments and suggestions that helped to improve
this paper. We thank the captain, crew and scientific staff of RV
<italic>Pelagia</italic> NESSC cruises 64PE406 and 64PE407, especially Anne Roepert (Utrecht
University) who collected the majority of the seawater samples used in this
study. We also thank Sharyn Ossebaar, Piet van Gaever and Wim Boer (NIOZ)
for their vital technical assistance as well as  Geert-Jan A. Brummer
(NIOZ/Vrije Universiteit Amsterdam) for his support during sample
preparation and many discussions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3755">This research has been supported by the NESSC.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3761">This paper was edited by Alessio Rovere and reviewed by Michal Kucera and one anonymous referee.</p>
  </notes><ref-list>
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    <!--<article-title-html>Evaluation of oxygen isotopes and trace elements in planktonic foraminifera from the Mediterranean Sea as recorders of seawater oxygen isotopes and salinity</article-title-html>
<abstract-html><p>The Mediterranean Sea is characterized by a relatively strong west to
east salinity gradient, which makes it an area suitable for testing the
effect of salinity on foraminiferal shell geochemistry. We collected
living specimens of the planktonic foraminifer <i>Globigerinoides
ruber albus</i> to analyse the relation between element&thinsp;∕&thinsp;Ca ratios,
stable oxygen isotopes of their shells, and surface seawater salinity,
isotopic composition and temperature. The oxygen isotopes of sea
surface water also correlate with salinity in the Mediterranean during
winter, which is when sampling for this study took place. Seawater oxygen and hydrogen
isotopes are positively correlated in both the eastern and western
Mediterranean Sea, although the
relationship differs from previously reported values, especially in the eastern region. The slope between salinity and seawater oxygen isotopes is lower
than previously published results.  Still, despite the rather modest slope,
seawater and foraminiferal carbonate oxygen isotopes are correlated in
our dataset, albeit with large residuals and high residual
variability. This scatter could be due to either biological variability
in vital effects or environmental variability. Numerical models
backtracking particles show that ocean-current-driven mixing of particles
of different origins might dampen sensitivity and could result in an
offset caused by horizontal transport. Results show that Na&thinsp;∕&thinsp;Ca is
positively correlated with salinity and independent of
temperature. As expected, foraminiferal Mg&thinsp;∕&thinsp;Ca increases with temperature, which is in line with earlier calibrations, and in the high
salinity environment. By using living foraminifera during winter, the
previously established Mg&thinsp;∕&thinsp;Ca–temperature calibration is extended to
temperatures below 18&thinsp;°C, which is a fundamental
prerequisite of using single foraminifera for reconstructing past
seasonality.</p></abstract-html>
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