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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-16-1-2020</article-id><title-group><article-title>Modeling a modern-like <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> warm period (Marine Isotope Stage KM5c) with two versions of an Institut Pierre Simon Laplace atmosphere–ocean coupled general circulation model</article-title><alt-title>Modeling MIS KM5c warm climate with IPSL AOGCM</alt-title>
      </title-group><?xmltex \runningtitle{Modeling MIS KM5c warm climate with IPSL AOGCM}?><?xmltex \runningauthor{N.~Tan et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Tan</surname><given-names>Ning</given-names></name>
          <email>ning.tan@mail.iggcas.ac.cn</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Contoux</surname><given-names>Camille</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8487-9275</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ramstein</surname><given-names>Gilles</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Sun</surname><given-names>Yong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1087-6060</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Dumas</surname><given-names>Christophe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sepulchre</surname><given-names>Pierre</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4267-4025</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Guo</surname><given-names>Zhengtang</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Key Laboratory of Cenozoic Geology and Environment, Institute of
Geology and Geophysics, Chinese Academy <?xmltex \hack{\break}?> of Sciences, Beijing 100029, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Laboratoire des Sciences du Climat et de l'Environnement, LSCE/IPSL,
CEA-CNRS-UVSQ, Université <?xmltex \hack{\break}?> Paris-Saclay, 91191 Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>State Key Laboratory of Numerical Modelling for Atmospheric Sciences
and Geophysical Fluid Dynamics, <?xmltex \hack{\break}?> Institute of Atmospheric Physics, Chinese
Academy of Sciences, Beijing 100029, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>College of Earth Sciences, University of Chinese Academy of Sciences,
Beijing 100049, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ning Tan (ning.tan@mail.iggcas.ac.cn)</corresp></author-notes><pub-date><day>6</day><month>January</month><year>2020</year></pub-date>
      
      <volume>16</volume>
      <issue>1</issue>
      <fpage>1</fpage><lpage>16</lpage>
      <history>
        <date date-type="received"><day>9</day><month>July</month><year>2019</year></date>
           <date date-type="rev-request"><day>17</day><month>July</month><year>2019</year></date>
           <date date-type="rev-recd"><day>17</day><month>October</month><year>2019</year></date>
           <date date-type="accepted"><day>23</day><month>October</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Ning Tan 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/16/1/2020/cp-16-1-2020.html">This article is available from https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020.html</self-uri><self-uri xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020.pdf">The full text article is available as a PDF file from https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e174">The mid-Piacenzian warm period (3.264 to 3.025 Ma) is the most
recent geological period with present-like atmospheric <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and is thus expected to have exhibited a warm climate similar to or warmer
than the present day. On the basis of understanding that has been gathered on
the climate variability of this interval, a specific interglacial (Marine
Isotope Stage KM5c, MIS KM5c; 3.205 Ma) has been selected for the Pliocene
Model Intercomparison Project phase 2 (PlioMIP 2). We carried out a series
of experiments according to the design of PlioMIP2 with two versions of the
Institut Pierre Simon Laplace (IPSL) atmosphere–ocean coupled general circulation model (AOGCM): IPSL-CM5A
and IPSL-CM5A2. Compared to the PlioMIP 1 experiment, run with IPSL-CM5A, our
results show that the simulated MIS KM5c climate presents enhanced warming
in mid- to high latitudes, especially over oceanic regions. This warming can
be largely attributed to the enhanced Atlantic Meridional Overturning
Circulation caused by the high-latitude seaway changes. The sensitivity
experiments, conducted with IPSL-CM5A2, show that besides the increased
<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, both modified orography and reduced ice sheets contribute
substantially to mid- to high latitude warming in MIS KM5c. When considering
the <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uncertainties (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>/</mml:mo><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>50 ppmv) during the Pliocene, the
response of the modeled mean annual surface air temperature to changes to
<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>/</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> ppmv) is not symmetric, which is likely due to the
nonlinear response of the cryosphere (snow cover and sea ice extent). By
analyzing the Greenland Ice Sheet surface mass balance, we also demonstrate
its vulnerability under both MIS KM5c and modern warm climate.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <?pagebreak page2?><p id="d1e265">The mid-Piacenzian warm period (MPWP; 3.264 to 3.025 Ma) is the most recent
geological period with a present-like <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration and exhibited
significant warming relative to today. This interval has been intensively
studied during the past 3 decades as this time period is generally
considered to be a potential analog of the future warmer climate. There
is an abundance of marine and terrestrial data that allow us to reconstruct
the ocean or land temperatures and soil and vegetation conditions for this period.
The reconstructed <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the MPWP ranges from 350 to 450 ppmv (Bartoli
et al., 2011; Pagani et al., 2010; Martínez-Botí et al., 2015),
which bracket the present-day level. The MPWP is thought to be globally
warmer by 2–4 <inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C than pre-industrial climate (e.g., Dowsett et al.,
2009). A large warming amplification of 7–15 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C is estimated in
Arctic regions derived from terrestrial proxies from Lake El'gygytgyn in
NE Arctic Russia (Brigham-Grette et al., 2013) and Ellesmere Island in the Arctic Circle (Rybczynski et al., 2013). The meridional and zonal sea surface temperature (SST) gradients are reduced compared to the present day, but the magnitude of this
reduction is uncertain. Some studies demonstrate substantial decreases in
both the zonal and meridional SST gradients over the Pacific region during
the MPWP (Wara et al., 2005; Ravelo et al., 2006; Fedorov et al., 2013). The
largely reduced SST gradients can be explained by a significant reduction in
the meridional gradient of cloud albedo (Burls and Fedorov, 2014). However,
the most recent study by Tierney et al. (2019) confirms that the reduced
magnitude of the SST gradients during the MPWP is moderate when compared to
the present condition. This result also agrees with previous studies (Zhang
et al., 2014; O'Brien et al., 2014). Reconstruction of vegetation distribution
indicates a northward shift of boreal forest at the expense of tundra
regions due to the warmer conditions (Salzmann et al., 2008). Associated
with this strong warmth, the eustatic sea level is estimated to have been
22 (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>/</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>) m higher (between 2.7 and 3.2 Ma) than at present (e.g., Miller et
al., 2012) suggesting a complete disintegration of the Greenland Ice Sheet and a
significant collapse of the West Antarctic Ice Sheet as well as unstable
regions of East Antarctica (Hill, 2009; Dolan et al., 2015; Koenig et al.,
2015).</p>
      <p id="d1e326">An early motivation for studying this period was to apply the knowledge thus
gained to the issue of the ongoing climate change. However, considering the
non-equilibrium state of the present and the future climate due to the
continuously changing anthropogenic forcing factors, the simulated
quasi-equilibrium MPWP may not be directly regarded as an analog of
future warming (Crowley, 1991). The importance of studying the MPWP nowadays
is to investigate the abilities of climate models to produce warm climates
and to study the relative impacts of forcings and feedbacks of internal
climate components under warm conditions, which can assist in developing
future climate projections. In Pliocene Model Intercomparison Project phase
1 (PlioMIP1), 11 models involved in the MPWP experiments. Among these models,
there is agreement with regard to surface temperature change in the tropics
but a lack of agreement on temperature changes at high latitudes as well as
total precipitation rate in the tropics (Haywood et al., 2013). The modeled
Atlantic Meridional Overturning Circulation and the associated ocean heat
transport for this interval in models are not very different compared to
modern conditions (Zhang et al., 2013). However, when comparing them to proxy
data of sea surface and surface air temperature, climate models uniformly
underestimate the warming in the high latitudes (Dowsett et al., 2012, 2013; Haywood et al., 2016b). Reasons for this discord between data and model are
complex, but they can be attributed to three main aspects: boundary
condition uncertainty, modeling uncertainty (e.g., the model bias, annual
variability in the produced climatology fields), and data uncertainty
(Haywood et al., 2013). In PlioMIP1, the MPWP is regarded simply as a stable
interval despite the climate variability existing over a 300 kyr time slab
due to the climate sensitivity and orbital parameters changing, thus the
boundary conditions are made as an averaged condition over this long
interval, whereas proxy data are representative of some orbital conditions
inside this time slab. This boundary condition uncertainty is thus
considered as the main contributor to this data–model discrepancy (Haywood
et al., 2016a). Therefore, the PlioMIP phase 2 (PlioMIP2) switched to
choosing a representative interglacial during the MPWP interval: Marine
Isotope Stage KM5c (MIS KM5c; 3.205 Ma). Thus, boundary conditions (known as
PRISM4; Dowsett et al., 2016) have been updated for PlioMIP2, which include
a new paleogeography reconstruction containing ocean bathymetry and
land–ice surface topography and which represent the closure of the Bering Strait and north Canadian Arctic Archipelago region and a reduced Greenland Ice Sheet by
50 % in comparison to PlioMIP1. Besides, extra information on lake
distribution and soil types (Pound et al., 2014) is also provided but not
used in this paper.</p>
      <p id="d1e329">This study is conducted within the framework of PlioMIP2. Here we employ the new
PRISM4 boundary conditions to conduct the MPWP experiments by using two
French atmosphere–ocean general
circulation model (AOGCM) models: IPSL-CM5A and the updated IPSL-CM5A2. The purpose of
this study is to better understand the warm climate of the MPWP and to study
the sensitivity of the IPSL model to changes in boundary conditions, such as
changes in the land–sea mask and <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. As the IPSL AOGCM model has participated
in PlioMIP1 (Contoux et al., 2012), we also compare the modeling results of
PlioMIP2 with those of PlioMIP1 to quantify the impact of the high-latitude
seaways' changes on the climate system.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Model descriptions</title>
      <p id="d1e353">To accomplish the modeling work, we have employed the two versions of the Institute Pierre-Simon Laplace (IPSL) AOGCM: IPSL-CM5A and IPSL-CM5A2. IPSL-CM5A is a low-resolution coupled model which has been applied in CMIP5 for historical and
future simulations (Dufresne et al., 2013) as well as for Quaternary and
Pliocene paleoclimate studies (Kageyama et al., 2013; Contoux et al., 2012).
IPSL-CM5A2 (Sepulchre et al., 2020) is an updated version of IPSL-CM5A.
Critical changes compared to IPSL-CM5A include (i) technical developments to make
IPSL-CM5A2 run faster (64 yr d<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in CM5A2 instead of 8 yr d<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
CM5A), (ii) updates of the versions of components and (iii) a major
retuning of the cloud radiative forcing to correct the cold bias in the mid-
and high latitudes that is known to be present in CM5A. Thus, to compare it with PlioMIP1 results (Contoux et al., 2012), we carried out the PlioMIP2 core
experiment with IPSL-CM5A and the PlioMIP2 core experiment and<?pagebreak page3?> tiered
experiments with IPSL-CM5A2 to save the computational cost. The various
components of the model are briefly described in the following subsections, and the reader is referred to Dufresne et al. (2013) for details.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Atmosphere</title>
      <p id="d1e387">The atmosphere component is LMDZ (Hourdin et al.,2013) developed at Laboratoire de Météorologie Dynamique (LMD) in France (the Z of LMDZ indicates that this model has the specificity to be zoomed for regional studies). This is a complex
model that incorporates several processes decomposed into a dynamic part
that calculates the numerical solutions of the general equations of
atmospheric dynamics and a physical part, calculating the details of the
climate in each grid point and containing parameterizations processes such
as the effects of clouds, convection, and orography (LMD Modelling Team, 2014).
Atmospheric dynamics are represented by a finite-difference discretization
of the primitive equations of motion (e.g., Sadourny and Laval, 1984) on a
longitude–latitude Arakawa C-grid (e.g., Kasahara, 1977). The horizontal
resolution of the model is <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mn mathvariant="normal">96</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula>, corresponding to an interval of 3.75<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in longitude and 1.9<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude. There are 39 vertical
levels, with around 15 levels above 20 km. This model has the specificity to
be zoomed (the Z of LMDZ) if necessary on a specific region and then may be
used for regional studies (e.g., Contoux et al., 2013). In IPSL-CM5A2,
retuning of the model has been done by altering the cloud radiative effect
to decrease the cold bias of the model. More details can be found in
Sepulchre et al. (2020).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Land</title>
      <p id="d1e428">The land component in both CM5A and CM5A2 is ORCHIDEE (Organizing Carbon and
Hydrology In Dynamic Ecosystems; Krinner et al., 2005), which is comprised of
three modules: hydrology, vegetation dynamics, and carbon cycle. The
hydrological module (Ducoudré et al., 1993) describes the exchange of
energy and water between the atmosphere as well as the biospheres and the
soil water budget (Krinner et al., 2005). Vegetation dynamics
parameterization is derived from the dynamic global vegetation model LPJ
(Sitch et al., 2003; Krinner et al., 2005). The carbon cycle model simulates
plant phenology and carbon dynamics of the terrestrial biosphere. Vegetation
distribution is described using 13 plant functional types (PFTs) including
agricultural C3 and C4 plants, which are not present in the MPWP
simulations. In this case, hydrology and carbon modules are activated, but
vegetation is prescribed as the PlioMIP1 study by Contoux et al. (2012),
using 11 PFTs, derived from the PRISM3 vegetation dataset (Salzmann et al.,
2008). Therefore, soil, litterfall, and vegetation carbon pools (including
leaf mass and thus LAI, leaf area index) are calculated as a function of dynamic carbon
allocation.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Ocean and sea ice</title>
      <p id="d1e440">The ocean model included in IPSL-CM5A is NEMOv3.2 (Madec, 2008), which
includes three principle modules: OPA (for the dynamics of the ocean),
PISCES (for ocean biochemistry), and LIM (for sea ice dynamics and
thermodynamics). The configuration of this model is ORCA2.3 (Madec and
Imbard, 1996), which uses a tripolar global grid and its associated
physics. The average horizontal resolution is 2<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> by 2<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>,
which increases to 0.5<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in the tropics, and there are 31 layers in
the vertical. Temperature and salinity advection are calculated by a total
variance dissipation scheme (Lévy et al., 2001; Cravatte et al., 2007).
The mixed layer dynamics are parameterized using the turbulent kinetic energy
(TKE) closure scheme of Blanke and Delecluse (1993) improved by Madec (2008). The sea ice module LIM2 is a two-level thermodynamic–dynamic sea ice
model (Fichefet and Morales maqueda 1997). Sensible heat storage and
vertical heat conduction within snow and ice are determined by a three-layer
model. The OASIS coupler (Valcke, 2006) is used to interpolate and exchange the
variables and to synchronize the models. This coupling and interpolation
procedures ensure local energy and water conservation. The new version NEMOv3.6
is included in IPSL-CM5A2, in which the river runoffs are now added through a
non-zero depth and have a specific temperature and salinity. The coupling
system has been switched from OASIS3.3 to OASIS3-MCT (MCT standing for model coupling
toolkit). More details are provided by Sepulchre et al. (2020).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e472">Anomalies of the PlioMIP2 topography relative to PI control
<bold>(a)</bold> and PlioMIP 1 <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f01.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Experiment design</title>
      <p id="d1e496">This section describes the boundary and the initial conditions imposed in
our experiments. Here, the experiment names are generally consistent with
the design of PlioMIP2 (Haywood et al., 2016a), and they are referred to by
the abbreviated form E(<inline-formula><mml:math id="M22" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>)(<inline-formula><mml:math id="M23" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula>), where <inline-formula><mml:math id="M24" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is the concentration of atmospheric
<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in ppmv and <inline-formula><mml:math id="M26" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> represents boundary conditions that have been changed
from the pre-industrial (PI) conditions, such that <inline-formula><mml:math id="M27" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> can be absent for cases
in which no boundary conditions have been modified or it can be “o” for a
change in orography and/or “i” for a change in land ice configuration.
Because we report on experiments performed with two versions of the IPSL
model, we indicate the experiment conducted using the updated version of the
model by the suffix “_v2”.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Pre-industrial experiments</title>
      <p id="d1e553">The pre-industrial control simulation in IPSL-CM5A was performed as required
by CMIP5/PMIP3 by the LSCE (Le laboratoire des sciences du climat et de l'environnement) modeling group. It is a 2800-year simulation,
which already started from equilibrium conditions for the carbon pools
(Dufresne et al., 2013). The pre-industrial control simulation in IPSL-CM5A2
was conducted by Sepulchre et al. (2020) and forced by CMIP5 pre-industrial
boundary conditions and has a 3000-year integration length.</p>

<?xmltex \floatpos{t}?><?pagebreak page4?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e559">Configuration common to all experiments described in this paper.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">760 ppb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">270 ppb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Local modern</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CFC<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:math></inline-formula> (chloro-fluoro-carbon)</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Solar constant</oasis:entry>
         <oasis:entry colname="col2">1365 W m<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eccentricity</oasis:entry>
         <oasis:entry colname="col2">0.016715</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Obliquity</oasis:entry>
         <oasis:entry colname="col2">23 441</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Perihelion</oasis:entry>
         <oasis:entry colname="col2">102.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Dynamic vegetation</oasis:entry>
         <oasis:entry colname="col2">Off</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil types and lakes</oasis:entry>
         <oasis:entry colname="col2">Local modern</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Pliocene experiments</title>
      <p id="d1e722">We have conducted six AOGCM experiments for PlioMIP2; they are the core
experiment Eoi400 using the IPSL-CM5A model and the core experiment
Eoi400_v2 as well as four tiered experiments
E400_v2, Eoi450_v2, Eoi350_v2, and Eo400_v2 using the IPSL-CM5A2 model. The <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration in each experiment is indicated in the experiment name as
mentioned above. Other greenhouse gases and orbital forcing are kept the
same as in the IPSL PI control run (Table 1). Vegetation is kept the same as
in the PlioMIP1 AOGCM simulation by Contoux et al. (2012). Soil patterns and
river routing retain the same configurations with PI control, except for the
regions where the changes to the topography modify the river routing and the
estuaries. The land–sea mask in these experiments is modified from the present only by closing the Bering Strait and the north Canadian Arctic Archipelago region and by modifying the topography in the Hudson Bay (Fig. 1). The ice sheet
mask is changed to the PRISM4 dataset (Dowsett et al., 2016) except in the Eo400_v2 experiment, in which the modern ice sheet is
imposed. Topography in these five experiments is calculated based on modern
topography used in the IPSL model, on which the anomaly between the PRISM4
reconstructed topography and the modern topography provided by the PlioMIP2
database (Haywood et al., 2016a) is superimposed. Wherever the resulting
topography was lower than zero, it was replaced by the absolute PRISM4
topography. Figure 1 shows the resulting topography anomalies in our
PlioMIP2 experiments compared to PI and PlioMIP1 experiments.
The initial sea surface temperature and sea ice in Eoi400 and
Eoi400_v2 are derived from the IPSL PlioMIP1 AOGCM simulation
(Contoux et al., 2012). Eoi400 has run for 800 modeling years and the
initial condition is from the equilibrium state of the PlioMIP1 experiment
(Contoux et al., 2012), which has 650 years' integration length.
Eoi400_v2 has run for 1500 modeling years. Average
climatologies for these two experiments are calculated over the last 50
years. Four tiered experiments (E400_v2,
Eoi450_v2, Eoi350_v2, Eo400_v2) are conducted based on the equilibrium state of the Eoi400_v2
core experiment and have 400 years of integration length. Average
climatologies for these four experiments are calculated over the last 30 years. The different averaging period lengths for the core experiments (over
the last 50 years) and tiered experiments (over the last 30 years) are chosen
based on the different experiment running lengths and their final
equilibrium states (see the equilibrium analysis in the follow). Table 2
summarizes the aforementioned information. Figure S1 in the Supplement shows time series of
surface air temperature and deep ocean temperature at around 2.3 km depth.
For both core simulations, the trend in both the global mean surface air
temperatures (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.18</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C century<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and the deep
ocean temperature (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C century<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> over the
final 50 years of integration are small. The tiered experiments also show
relatively stable trends over the last 30 years of integration (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C per century in surface air temperature and subsurface ocean
temperature, respectively). Therefore, we conclude that model runs have
reached a quasi-equilibrium state.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e848">Details of experimental settings.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Exp names</oasis:entry>
         <oasis:entry colname="col2">Models</oasis:entry>
         <oasis:entry colname="col3">Topography</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Integration</oasis:entry>
         <oasis:entry colname="col6">Climatologies</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">and ice sheet</oasis:entry>
         <oasis:entry colname="col4">(ppmv)</oasis:entry>
         <oasis:entry colname="col5">length (yr)</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">PI</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A</oasis:entry>
         <oasis:entry colname="col3">Modern</oasis:entry>
         <oasis:entry colname="col4">280</oasis:entry>
         <oasis:entry colname="col5">2800</oasis:entry>
         <oasis:entry colname="col6">Last 100 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">PI_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">Modern</oasis:entry>
         <oasis:entry colname="col4">280</oasis:entry>
         <oasis:entry colname="col5">3000</oasis:entry>
         <oasis:entry colname="col6">Last 100 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eoi400</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A</oasis:entry>
         <oasis:entry colname="col3">PRISM4</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">650 <inline-formula><mml:math id="M45" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 800</oasis:entry>
         <oasis:entry colname="col6">Last 50 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eoi400_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">PRISM4</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">1500</oasis:entry>
         <oasis:entry colname="col6">Last 50 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eoi450_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">PRISM4</oasis:entry>
         <oasis:entry colname="col4">450</oasis:entry>
         <oasis:entry colname="col5">1500 <inline-formula><mml:math id="M46" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 400</oasis:entry>
         <oasis:entry colname="col6">Last 30 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Eoi350_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">PRISM4</oasis:entry>
         <oasis:entry colname="col4">350</oasis:entry>
         <oasis:entry colname="col5">1500 <inline-formula><mml:math id="M47" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 400</oasis:entry>
         <oasis:entry colname="col6">Last 30 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eo400_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">Modern ice sheet,</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">1500 <inline-formula><mml:math id="M48" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 400</oasis:entry>
         <oasis:entry colname="col6">Last 30 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">PRISM4 topo in</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">other regions</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">E400_v2</oasis:entry>
         <oasis:entry colname="col2">IPSL-CM5A2</oasis:entry>
         <oasis:entry colname="col3">Modern</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">1500 <inline-formula><mml:math id="M49" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 400</oasis:entry>
         <oasis:entry colname="col6">Last 30 years</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1174">Diagnostics for each experiment. The anomalies are computed against
the PI controls corresponding to the version of the numerical model
employed. MA: mean annual; PRECIP: precipitation; SST: sea surface temperature; SSS: sea surface salinity; AMOC: the Atlantic Meridional Overturning Circulation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">Radiation balance</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Exp</oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center">MA SAT <inline-formula><mml:math id="M50" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> PRECIP (anomaly) </oasis:entry>
         <oasis:entry colname="col5">at the top of</oasis:entry>
         <oasis:entry colname="col6">MASST</oasis:entry>
         <oasis:entry colname="col7">MASSS</oasis:entry>
         <oasis:entry colname="col8">AMOC</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">names</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center">(<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M52" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> mm d<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
         <oasis:entry colname="col5">atmosphere</oasis:entry>
         <oasis:entry colname="col6">(anomaly)</oasis:entry>
         <oasis:entry colname="col7">(anomaly)</oasis:entry>
         <oasis:entry colname="col8">index</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Global</oasis:entry>
         <oasis:entry colname="col3">Tropics</oasis:entry>
         <oasis:entry colname="col4">High latitudes (NH)</oasis:entry>
         <oasis:entry colname="col5">(W m<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(Psu)</oasis:entry>
         <oasis:entry colname="col8">(Sv)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PlioMIP 1</oasis:entry>
         <oasis:entry colname="col2">2.1 <inline-formula><mml:math id="M56" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col3">1.7 <inline-formula><mml:math id="M57" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.17</oasis:entry>
         <oasis:entry colname="col4">3.9 <inline-formula><mml:math id="M58" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.21</oasis:entry>
         <oasis:entry colname="col5">0.68</oasis:entry>
         <oasis:entry colname="col6">1.4</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">10.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eoi400</oasis:entry>
         <oasis:entry colname="col2">2.3 <inline-formula><mml:math id="M60" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.14</oasis:entry>
         <oasis:entry colname="col3">1.8 <inline-formula><mml:math id="M61" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.20</oasis:entry>
         <oasis:entry colname="col4">4.2 <inline-formula><mml:math id="M62" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.28</oasis:entry>
         <oasis:entry colname="col5">0.69</oasis:entry>
         <oasis:entry colname="col6">1.7</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">15.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eoi400_v2</oasis:entry>
         <oasis:entry colname="col2">2.2 <inline-formula><mml:math id="M64" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col3">1.6 <inline-formula><mml:math id="M65" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.19</oasis:entry>
         <oasis:entry colname="col4">3.8 <inline-formula><mml:math id="M66" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
         <oasis:entry colname="col5">0.43</oasis:entry>
         <oasis:entry colname="col6">1.6</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">17.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eoi450_v2</oasis:entry>
         <oasis:entry colname="col2">2.6 <inline-formula><mml:math id="M68" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col3">2.1 <inline-formula><mml:math id="M69" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
         <oasis:entry colname="col4">4.5 <inline-formula><mml:math id="M70" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.27</oasis:entry>
         <oasis:entry colname="col5">0.57</oasis:entry>
         <oasis:entry colname="col6">1.9</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">17.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eoi350_v2</oasis:entry>
         <oasis:entry colname="col2">1.5 <inline-formula><mml:math id="M72" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.09</oasis:entry>
         <oasis:entry colname="col3">1.0 <inline-formula><mml:math id="M73" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col4">2.5 <inline-formula><mml:math id="M74" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.14</oasis:entry>
         <oasis:entry colname="col5">0.39</oasis:entry>
         <oasis:entry colname="col6">1.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">17.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Eo400_v2</oasis:entry>
         <oasis:entry colname="col2">1.92 <inline-formula><mml:math id="M76" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.12</oasis:entry>
         <oasis:entry colname="col3">1.56 <inline-formula><mml:math id="M77" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.18</oasis:entry>
         <oasis:entry colname="col4">3.56 <inline-formula><mml:math id="M78" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">17.4</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1699">Anomalies of mean annual SAT <bold>(a, c)</bold>, mean annual precipitation
rates <bold>(d, f)</bold>, and mean annual SST (<bold>g, i</bold>) for PlioMIP 2 (Eoi400) and PlioMIP 1
conducted with IPSL-CM5A in comparison with the associated pre-industrial
control experiment. Panels <bold>(b)</bold>, <bold>(e)</bold>, and <bold>(h)</bold> represent the zonal mean of related
anomalies (red lines for Eoi400, blue lines for PlioMIP 1).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f02.png"/>

        </fig>

      <?pagebreak page5?><p id="d1e1727">Although a standard <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 400 ppmv is selected for the Pliocene core
experiments, the <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> records during this interval mostly range from
350 to 450 ppmv. Thus, the tiered experiments Eoi450_v2 and
Eoi350_v2 are conducted to investigate the impact of
<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uncertainty on the modeled Pliocene climate. The tiered
experiments E400_v2 and Eo400_v2 combined with
the core experiment Eoi400_v2 and PI control are used to
quantify the relative importance of <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, land ice, and orography
in the PlioMIP2 warmth. Because of the limited computational resources, we
apply the linear decomposition for the forcing factors as d<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> E400_v2 – E280_v2 (1);
d<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>orography</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M87" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Eo400_v2 – E400_v2 (2);
d<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>land_ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Eoi400_v2 – E400_v2 (3);
<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M91" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M93" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>orography</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>land_ice</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (4).</p>

      <?xmltex \floatpos{p}?><?pagebreak page7?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1912">Mean annual ocean current above 500 m for PlioMIP 1 <bold>(a)</bold> and
Eoi400 <bold>(b)</bold>; <bold>(c)</bold> shows the difference in ocean current between Eoi400 and
PlioMIP1.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f03.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e1932">The differences in the mean annual sea surface temperature <bold>(a)</bold>,
sea surface salinity <bold>(b)</bold>, and the mixed layer depth <bold>(c)</bold> between Eoi400 and
PlioMIP 1.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f04.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1953">Mean annual AMOC of PI control <bold>(a)</bold> and AMOC anomalies of Eoi400
<bold>(b)</bold> and PlioMIP 1 <bold>(c)</bold> in comparison with PI conditions.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Pliocene runs with IPSL-CM5A</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>Results in the atmosphere</title>
      <p id="d1e1994">Figure 2 shows the anomalies of global mean annual near-surface air
temperature (SAT; i.e., temperature at 2 m), precipitation rate, and SST between PlioMIP experiments and the pre-industrial control with IPSL-CM5A. The global mean annual SAT in Eoi400 is
14.4 <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, which is 2.3 <inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer than that of the pre-industrial one. The warming in Northern Hemisphere (NH) high latitudes
(<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> N) (4.2 <inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) is higher than that in the
tropics (1.8 <inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The magnitude of the warming for Eoi400 is
slightly larger than that for the PlioMIP1 experiment, which shows a global
warming by 2.1 <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The major differences in SAT between Eoi400 and
PlioMIP1 are found, respectively, in midlatitude Eurasia and Arctic regions
due to the change in regional topography and high-latitude seaways as well
as the reduced Greenland Ice Sheet. Thus, Eoi400 shows a reduced meridional
temperature gradient than that in the PlioMIP1 experiment.</p>

      <?xmltex \floatpos{t}?><?pagebreak page8?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2059">Meridional heat transport in both atmosphere and ocean <bold>(a)</bold>; meridional ocean heat transport in different regions <bold>(b)</bold>. (Orange, purple, and blue lines, respectively, represent the results of Eoi400, the PI control, and PlioMIP 1).</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f06.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e2076">Maximum and minimum sea ice cover for both hemispheres in each
experiment (unit: <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f07.png"/>

          </fig>

      <?pagebreak page6?><p id="d1e2113">The global mean annual precipitation rate increases by 0.14 mm d<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Eoi400
due to the vapor-varying capacity of the warmer atmosphere, and the increase
is mostly confined to the global monsoon regions and tropical oceans. The
increase in global mean precipitation rate as well as the monsoon area index
(Fig. S2, calculated based on the method of Wang et al., 2008) in Eoi400
compared to PI is similar to that in PlioMIP1. However, regional
discrepancies still exist between these two experiments: the precipitation
rates in Eoi400 in the tropics and NH high latitudes are higher than those
in PlioMIP1 by 0.03–0.05 mm d<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> because of the increased warming in Eoi400
in these regions. Regional differences also exist over mountainous regions
(e.g., the Andes, the Rockies, the Tibetan Plateau, the Himalayas, and the
Ethiopian Highlands) since the elevation over these regions is modified
largely in PlioMIP2 compared to PlioMIP1 (Fig. 1). In East Africa, Eoi400
simulates an intensified precipitation than PlioMIP1, which is better
consistent with proxy data from East Africa inferring a wet vegetation
condition and hydrological systems during this period (Drapeau et al., 2014;
Bonnefille, 2010). Apart from the high-latitude seaway change, the regional
difference in topography between PlioMIP2 and PlioMIP1 can also contribute
to the rainfall change. Further sensitivity studies are needed to verify it.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e2142">Anomalies of mean annual SAT <bold>(a)</bold>, mean annual precipitation <bold>(c)</bold> and
mean annual SST <bold>(e)</bold> of Eoi400_v2 in comparison with the associated PI control experiment. Panels <bold>(b)</bold>, <bold>(d)</bold>, and <bold>(f)</bold> represent the zonal mean
of related anomalies; the shaded area shows 1<inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard
deviation.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f08.png"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>Results in the ocean</title>
      <p id="d1e2187">The global mean annual SST of Eoi400 is 1.7 <inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer compared to
the pre-industrial one. It is 0.3 <inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer than PlioMIP1, and the
warming is largely confined to the mid- to high-latitude oceans of the
Northern Hemisphere. The warming in Eoi400 relative to PlioMIP1 can be
attributed to the closure of the Bering Strait and the Canadian Arctic Archipelago,
which is the major difference in the boundary conditions between these two
experiments. In the pre-industrial control run (Fig. 3a), the water flow
through the Bering Strait is about 1.0 Sv (sverdrup), through which much fresher and
warmer water from the North Pacific is transported to the Arctic Ocean. In
Eoi400, as shown in Fig. 3b, the water currents from the North Pacific to
the Arctic through the Bering Strait and from the Arctic to the Baffin Bay
are shut down. Consequently, the Arctic seawater gets much denser and thus
the wind-driven Beaufort Gyre and transpolar drift get weakened (Fig. 3c).
The associated East Greenland Current and the Labrador Current get weaker, resulting in saltier conditions in these adjacent regions (Fig. 4b). Thus,
the deep convection and the formation of North Atlantic Deep Water (Figs. 4c, 5b) over these regions enhance. The sea surface condition changes
(compared to the PI) in the North Atlantic region in Eoi400 (Fig. 4) are
in agreement with the CCSM4 model results of Otto-Bliesner et al. (2017).
Accordingly, we observe a strengthened Gulf Stream and North Atlantic
currents as well as an enhanced subpolar gyre (Fig. 3c), which can transport
more heat to high latitudes (Fig. 6b) and may be linked to a stronger
convection. Thus, a shoaled and enhanced AMOC (Atlantic Meridional Overturning Circulation) (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn></mml:mrow></mml:math></inline-formula> Sv) is observed in
Eoi400, whereas the AMOC in PlioMIP1 was not much different from the
modeled pre-industrial level (Fig. 5). The increased AMOC resulting from
the closure of the Bering Strait and Canadian Arctic Archipelago is broadly consistent
with previous studies by Hu et al. (2015), Kamae et al. (2016), and Chandan
and Peltier (2017). However, the change in the AMOC strength in our PlioMIP2
simulation is much larger than in other models. Hu et al. (2015), using CCSM3
and CCSM2, with different climate backgrounds show that the AMOC responses to
the closure of the Bering Strait are about 2–3 Sv. Chandan and Peltier (2016) show an increased AMOC strength by <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> Sv after closing
the Bering Strait in the CCSM4 model. In the study of Kamae et al. (2016),
with a different flux adjustment, they present a much stronger AMOC in their
PlioMIP2 than their pre-industrial level. In fact, the simulated AMOC
largely depends upon the vertical mixing schemes (Zhang et al., 2013).
Although we observe an increase in the strength of AMOC (15.7 Sv) in our
PlioMIP2 simulation conducted with IPSL-CM5A, the AMOC is still weaker than
the modern<?pagebreak page9?> observations (17.2 Sv, McCarthy et al., 2015). This is because the
simulated modern AMOC (11 Sv) with this model is much weaker than the
observations. Moreover, the simulated AMOC in PlioMIP1 with our model is
also weaker than other models (Zhang et al., 2013). As shown in Fig. 6, the
total heat transport in the PI control, Eoi400, and PlioMIP1 simulations is
similar. The stronger AMOC in Eoi400 does indeed strengthen the northward heat
transport in the Atlantic Ocean, while the weakened Pacific meridional ocean
circulation in Eoi400 (PMOC, Fig. S3), which contrasts with the data-based
findings by Burls et al. (2017), decreases the northward heat transport, thus
leading to very slight change in total ocean heat transport. This
compensation was also found by Chandan and Peltier (2017).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e2230">The relative contribution of various boundary conditions (<bold>a</bold> <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>b</bold> orography, <bold>c</bold> land ice) to the warmth of PlioMIP 2 and their zonal mean
values <bold>(d)</bold>. Stippling indicates regions where results are statistically
significant at 99 % confidence criteria.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f09.png"/>

          </fig>

      <p id="d1e2262">The simulated warm conditions at high latitudes prevent sea ice from
expanding during the winter season and increase sea ice melt during the summer season (Fig. 7). When compared to the PI condition, sea ice extent in the
Eoi400 decreases by 5.4 and 3.8 Mkm<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> respectively for the
winter and summer season in the NH. In the Southern Hemisphere (SH), sea ice
extent reduces by 8.8 Mkm<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> for the winter season and is nearly
extinct during the summer. In comparison with PlioMIP1, NH sea ice cover in
Eoi400 reduces by 2.1 and 0.8 Mkm<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, respectively, for cold and
warm season, but there is no large difference in SH between these two
experiments. The largely decreased sea ice extent can amplify the warming in
the high latitudes through its role as an insulation between the ocean and
the atmosphere as well as positive albedo temperature feedback (Howell et
al., 2014; Zheng et al., 2019). Reconstructed data in the Arctic Basin
suggest the presence of seasonal rather than perennial sea ice in the
Pliocene Arctic (Polyak et a., 2010; Moran et al., 2006), indicating a less
or diminished summer sea ice cover. However, our IPSL model as well as half
of participating models in PlioMIP1 cannot predict sea-ice-free conditions
during the summer season (Howell et al., 2016). Reasons for this are
discussed in Howell et al. (2016), who demonstrate the unreasonable sea ice
albedo parameterization for the warmer condition.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e2295">Mean annual surface mass balance (SMB) in Greenland in the PI control
experiment <bold>(a)</bold> and the anomalies of the SMB in Eo400_v2 <bold>(b)</bold> and
E400_v2 <bold>(c)</bold> experiments in comparison with the PI control (unit: mWE (water equivalent) yr<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The contour line indicates the zero value.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f10.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Pliocene runs with IPSL-CM5A2</title>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><?xmltex \opttitle{Results from the core experiment Eoi400\_v2}?><title>Results from the core experiment Eoi400_v2</title>
      <p id="d1e2342">Figure 8 shows the anomalies of global mean annual near SAT (2 m temperature), precipitation rate, and SST between Eoi400_v2
and the pre-industrial control with the CM5A2model. The global mean SAT in
Eoi400_v2 is 15.3 <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, which is 2.2 <inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
warmer than pre-industrial conditions with greater warming at high latitudes. It should be noted that the absolute SAT in Eoi400_v2 is greater than that obtained in Eoi400, while the SAT anomaly in
Eoi400_v2 is lower than that in Eoi400. This is due to the
cold bias correction in the new version of the IPSL model. IPSL-CM5A2
simulates a pre-industrial temperature that is warmer (Sepulchre et al., 2020) than
the IPSL-CM5A pre-industrial one by 1.1 <inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The global mean annual
precipitation rate increases by 0.13 mm d<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in Eoi400_v2
compared to PI, which is comparable to the results obtained with IPSL-CM5A.
In Eoi400_v2, the changes in the ocean conditions relative to
the pre-industrial control are similar to changes seen with Eoi400. The
global mean annual SST in Eoi400_v2 is 0.7 <inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
warmer than Eoi400, the AMOC strength (Fig. S4) in Eoi400_v2 is 17.9 Sv, which is 2.2 Sv larger than Eoi400, while the AMOC anomaly is
about 4.7 Sv relative to its pre-industrial level of 13.2 Sv. The magnitude
of this anomaly is close to the result obtained with IPSL-CM5A, indicating a
coherent response of the AMOC to the same changes in boundary conditions.
The sea ice cover is also largely decreased due to the warming at high latitudes (Fig. 7).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e2395">Anomalies of mean annual SAT, mean annual precipitation rate, and
mean annual SST for Eoi450_v2 (<bold>a</bold>, <bold>d</bold>, <bold>g</bold>) and Eoi350_v2 (<bold>b</bold>, <bold>e</bold>, <bold>h</bold>) in comparison with Eoi400_v2. The last column (<bold>c</bold>, <bold>f</bold>, <bold>i</bold>) of this panel shows the zonal mean of related anomalies (red and blue
lines, respectively, represent the results of Eoi450_v2 and
Eoi350_v2). Stippling indicates regions where results are
statistically significant at 99 % confidence criteria.</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f11.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Relative importance of various boundary conditions in MIS KM5c warmth</title>
      <p id="d1e2440">Figure 9 shows the relative contribution of various boundary conditions
(<inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> – a; orography – b; and land ice – c) to the warming during MIS
KM5c as obtained using the linear decomposition method. Among these
forcings, the increase in <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by 120 ppmv (from 280 to 400 ppmv) plays
the most important role in both the annual (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and
seasonal SAT (<inline-formula><mml:math id="M126" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>1.38 <inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.48</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively, during the summer and winter). The changes to orography in PlioMIP2 also
exert an important influence on the annual mean warming (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.51</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), especially in the North Atlantic and Barents Sea regions. However,
changes to the orography decrease the temperature in the NH mid- to high-latitude inland regions, which may result from changes in North Pacific
circulation. Seasonally, the orography changes contribute more to the
warming in summer (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.65</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) than to that in winter
(<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The impact of smaller ice sheets is largely
restricted to the high-latitude regions and is less important<?pagebreak page11?> than the other
two forcing factors in the North Pole region but plays a key role in the
warming of the South Pole region. The mean annual warming resulting from the
smaller ice sheets is about 0.25 <inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C which is close to the contribution
in both summer and winter seasons, indicating that the ice sheet
contribution is seasonally invariant. The residual impact besides the
<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, orography and land ice forcings is relatively small and
negligible when making the linear decomposition of the forcing factors.
These results are in agreement with those of Chandan and Peltier (2018), who applied the nonlinear decomposition of Lunt et al. (2012) to
diagnose the contributions of the forcing factors</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e2604">SST model–data comparison. <bold>(a)</bold> Modeled mean annual SST anomalies
of MIS KM5c (relative to PI controls; shaded area) and reconstructed MIS
KM5c SST anomalies (relative to near-pre-industrial data; circle markers). <bold>(b)</bold> The relationship between modeled SST anomalies and PRISM4 data
anomalies.</p></caption>
            <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://cp.copernicus.org/articles/16/1/2020/cp-16-1-2020-f12.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>Greenland Ice Sheet instability under MIS KM5c warmth</title>
      <p id="d1e2627">To understand the extent to which the Greenland Ice Sheet (GrIS) could be
sustained under the warmth of MPWP, we impose the modern GrIS into the
Pliocene simulation (Eo400_v2). We obtain the GrIS surface
mass balance (SMB) by applying the outputs (monthly near-surface air
temperature and precipitation) of each climate experiment
(PI_v2, Eo400_v2, E400_v2) to
the GRenoble Ice-Shelf and Land-Ice model (GRISLI) (Ritz et al., 2001), in which the algorithm for the SMB is calculated. In comparison with the PI control (Fig. 10a), the mean
annual SMB in Greenland in Eo400_v2 (Fig. 10b) is strongly
negative around the coastal regions, indicating vulnerable conditions along the<?pagebreak page12?> coastal ice sheet and ice shelves. This negative SMB condition largely
results from the increased summer temperature, which leads to enhanced
ablation in these regions (Fig. S5). The mean annual SMB condition in
Eo400_v2 is similar to that in modern conditions
(E400_v2; Fig. 10c). However, the warmer conditions in
Eo400_v2 bring more precipitation in south and northwest
Greenland, leading to enhanced accumulation (Fig. S5); thus we observe
increased SMB in these areas as compared to the PI control condition. In
E400_v2, we also have increased SMB in these regions, but it is much
weaker than that in Eo400_v2, due to the different
paleogeography settings as discussed earlier. Although these snapshot
results cannot quantify the impact of the warm climate on the modern GrIS
extent, which needs another series of climate-model–ice-sheet-model
experiments, the results we get here can also herald the vulnerability of the GrIS under such warm climate conditions.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS4">
  <label>4.2.4</label><?xmltex \opttitle{{$\protect\chem{\mathit{p}CO_{2}}$} uncertainties in MIS KM5c warmth}?><title><inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uncertainties in MIS KM5c warmth</title>
      <p id="d1e2651">Figure 11 depicts the anomalies of global mean annual SAT, precipitation
rate, and SST in Eoi450_v2 and Eoi350_v2
compared to the core experiment Eoi400_v2. By increasing
<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by 50 ppmv in Eoi450_v2, global climate gets
slightly warmer (<inline-formula><mml:math id="M140" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>0.48 <inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and the warming at high latitudes is
larger (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). However, when lowering <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by 50 ppmv in
Eoi350_v2, the change in climate is more important than that
in Eoi450_v2, since we observe a global cooling of
0.71 <inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and a cooling of 1.29 <inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C over NH high latitudes.
This asymmetric pattern in temperature response to changes in <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> largely
results from changes to surface albedo associated with snow cover (not shown
here). In Eoi450_v2, the mean annual snowfall decreases by
6 % between 40 and 80<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N when comparing it to
Eoi400_v2, while Eoi350_v2 shows an increase
by 30 % (not shown). The asymmetric pattern between Eoi450_v2 and Eoi350_v2 is also found in the changes in
precipitation rates: global climate gets slightly moister with a global precipitation rate that has increased by 0.02 mm d<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> %) in Eoi450_v2, while in Eoi350_v2, the global precipitation rate reduces
by 0.04 mm d<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">31</mml:mn></mml:mrow></mml:math></inline-formula> %), and this reduction is more important in the tropical
regions. Thus, our results can also show that the response of the IPSL coupled
model to changing <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 350 to 400 ppm is larger than from 400 to
450 ppm.</p>
      <p id="d1e2814">However, in the ocean, the increase or decrease in SSTs resulting from
increasing or lowering <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by 50 ppmv is nearly the same magnitude. The
AMOC strengths are also similar between Eoi450_v2 (17.4 Sv)
and Eoi350_v2 (17.6 Sv) (Fig. S4). Nevertheless, the
changes in sea ice cover in these two experiments are unlike each other
(Fig. 7). As in Eoi450_v2, the sea ice covers decrease
slightly relative to Eoi400_v2 for both hemispheres
(decreased by 0.2–0.5 Mkm<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> during the cold season and decreased by 0.01–0.2 Mkm<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> during the warm season), whereas in Eoi350_v2, the sea
ice cover expands for both hemispheres, especially during the warm season in
the NH (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn></mml:mrow></mml:math></inline-formula> Mkm<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Model–data comparison</title>
      <p id="d1e2879">Figure 12 shows the simulated mean annual SST anomalies (relative to PI
experiments) of both core experiments (Eoi400, Eoi400_v2),
together with the reconstructed SST (3.20–3.21 Ma; Foley and Dowsett, 2019)
anomalies relative to near-pre-industrial data (1870–1900; Rayner et
al., 2003). The simulated SST anomalies in both core experiments are
generally in phase with the reconstructed data.<?pagebreak page13?> Some extremely warm sites
are in disagreement with model results (e.g., drilling sites in the North
Greenland Sea, in the Mediterranean, and in the Benguela Current region). Overall, the
simulated MIS KM5c SSTs generally underestimate the warming that is inferred
from proxies, especially for the sites showing warming higher than
4 <inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 12b). Of the three experiments (PlioMIP1,
Eoi400, Eoi400_v2), both Eoi400 and Eoi400_v2
show increased warming in the mid- to high latitudes as compared to the
PlioMIP1 result. However, despite the increased warming exhibited by our
PlioMIP2 simulation, there is still an obvious disagreement between model
and proxy, for which model performance is partly to blame. However, the
interpretation of the reconstructed data can also affect the data–model
comparison. Conventionally, SSTs are reconstructed from <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msubsup><mml:mi>U</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>
paleothermometry assuming they represent annual mean values, whereas it has
been shown that they can represent seasonal temperatures, for example
representing the warmest summer month in the North Atlantic (NATL) (Leduc et
al., 2017) and in the Benguela Current (Leduc et al., 2014). If we compare the
reconstructed SST anomalies with modeled SST anomalies for the warmest
summer month rather than the mean annual anomalies for the NATL and the
Benguela region (Fig. S6), the discrepancies between model and data are
reduced. To understand the disagreement well, more studies are needed with
regard to data interpretation as well as the multi-model comparison.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e2918">In this paper, we describe the results of modeling the warm interglacial
MIS KM5c (3.205 Ma), located in the MPWP interval of 3.0–3.3 Ma, while driving
the model with the new PRISM4 boundary conditions (Dowsett et al., 2016).
Two versions of the core Pliocene experiments, namely Eoi400 and
Eoi400_v2, are conducted on two versions of the IPSL coupled
model: IPSL-CM5A and IPSL-CM5A2. Four tiered experiments
(E400_v2, Eoi450_v2, Eoi350_v2,
Eo400_v2) are also conducted with IPSL-CM5A2 to study the
relative contribution of various forcing factors towards the warming of
climate. The new PRISM4 boundary conditions produce an enhanced global
warming in MIS KM5c, especially over the mid- to high-latitude oceans
compared to the results from PlioMIP phase 1. The enhanced warming can be
largely attributed to changes to high-latitude seaways which strengthen AMOC
and transport more heat to high latitudes and to the reduction in the
spatial extent of ice sheets and sea ice which decreases the outgoing
shortwave radiation. The warming in MIS KM5c simulated with either of our
models is weaker than those found in other studies (e.g. Kamae et al., 2016;
Chandan and Peltier, 2017). In both our two core experiments, AMOC strength
increases remarkably (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> Sv) in comparison to PI controls due to the
closure of the Bering Strait and the north Canadian Arctic Archipelago regions.
This result agrees with other studies (Kamae et al., 2016; Hu et al., 2015),
but the extent of the increase of the AMOC depends highly upon the processes
included in the ocean models.</p>
      <p id="d1e2931">In addition to the orography changes, changes to the concentration of
greenhouse gases and changes to the configuration of high-latitude ice play
important roles in the polar amplification; e.g., the reduced ice sheets
over Antarctica play a key role in the warming of the high latitudes of the
Southern Hemisphere. Surface mass balance analysis shows that the modern GrIS
is vulnerable around the coastal regions under the warm conditions of the
MPWP as well as present conditions. The model response to changes to
<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>/</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> ppmv) was found to not be symmetric with respect to the
surface air temperature, which is likely due to the nonlinear response
of snow cover and sea ice extent. When snow cover and sea ice extent are
reduced in area and duration, the sensitivity of climate model to the
growing <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may have a weaker thermal impact, in contrast to the
near-linear response of global surface air temperature to the cumulative
emissions of <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:mi>p</mml:mi><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in both the present short-term observations and
transient modeling scenarios for the future. Finally, further model
intercomparison work and data–model comparison work are needed to better
understand the role of variable boundary conditions and the internal
climatic processes in modeling the Pliocene warming climate.</p>
</sec>

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

      <p id="d1e2991">Climatological averages of each simulation in NetCDF format will be uploaded to the PlioMIP2 data repository soon. It is accessible in the meantime by contacting the authors. Specific data requests should be sent to the
lead author (ning.tan@mails.iggcas.ac.cn). All PlioMIP2 boundary conditions
are available on the USGS PlioMIP2 web page <uri>https://www.usgs.gov/centers/fbgc/science/pliocene-research-interpretation-and-synoptic-mapping-prism4?qt-science_center_objects=0#qt-science_center_objects</uri>
(last access: 28 November 2019).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2997">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/cp-16-1-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/cp-16-1-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3006">NT, GR, and CC designed the study. NT
conducted the model setup, spin-up, and major data analysis and wrote the
paper. YS, CC, CD, and ZG contributed to discussing the data
analysis and the structure of this work. PS provided the IPSL-CM5A2
information and its related control run simulation. All co-authors helped to
improve this paper. Correspondence and requests for materials should be
addressed to NT.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3012">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <?pagebreak page14?><p id="d1e3018">This article is part of the special issue “PlioMIP Phase 2: experimental design, implementation and scientific results”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3024">We thank Oliver Marti and Jean Baptiste Ladant for their help on the model setup. Many thanks to editor Aisling Dolan and two anonymous reviewers for their useful comments, which improved the quality of the manuscript. This study was performed using HPC resources from GENCI-TGCC under the allocation 2019-A0050102212.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3029">This research has been supported by the French State Program Investissements d'Avenir (managed by ANR), the ANR HADOC project (grant no. ANR-17-CE31-0010), the Basic Science Center Project of the National Science Foundation of China (grant no. 41888101), and the Strategic Priority Research Program (grant no. XDB 26000000).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3035">This paper was edited by Aisling Dolan and reviewed by two anonymous referees.</p>
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    <!--<article-title-html>Modeling a modern-like <i>p</i>CO<sub>2</sub> warm period (Marine Isotope Stage KM5c) with two versions of an Institut Pierre Simon Laplace atmosphere–ocean coupled general circulation model</article-title-html>
<abstract-html><p>The mid-Piacenzian warm period (3.264 to 3.025&thinsp;Ma) is the most
recent geological period with present-like atmospheric <i>p</i>CO<sub>2</sub> and is thus expected to have exhibited a warm climate similar to or warmer
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