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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/gmd-19-8469-2026</article-id><title-group><article-title>The Geoengineering Model Intercomparison Project (GeoMIP) contribution to CMIP7 – description of new experimental protocols and preliminary results</article-title><alt-title>The Geoengineering Model Intercomparison Project (GeoMIP) contribution to CMIP7</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Visioni</surname><given-names>Daniele</given-names></name>
          <email>dv224@cornell.edu</email>
        <ext-link>https://orcid.org/0000-0002-7342-2189</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Robock</surname><given-names>Alan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6319-5656</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Duffey</surname><given-names>Alistair</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Henry</surname><given-names>Matthew</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4498-6476</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Hirasawa</surname><given-names>Haruki</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8249-8364</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Lee</surname><given-names>Walker Raymond</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0671-8083</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wang</surname><given-names>Cindy</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6783-1672</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Roberts</surname><given-names>Kelsey</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7 aff8">
          <name><surname>Watanabe</surname><given-names>Shingo</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Reboita</surname><given-names>Michelle Simões</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Sugiyama</surname><given-names>Masahiro</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Kravitz</surname><given-names>Ben</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6318-1150</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Haywood</surname><given-names>Jim</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2143-6634</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Tilmes</surname><given-names>Simone</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6557-3569</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Bonou</surname><given-names>Frédéric K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2121-6893</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Chen</surname><given-names>Jack</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Sukhodolov</surname><given-names>Timofei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7100-738X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14 aff15">
          <name><surname>Vattioni</surname><given-names>Sandro</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4099-3903</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14 aff15">
          <name><surname>Jörimann</surname><given-names>Andrin</given-names></name>
          
        <ext-link>https://orcid.org/0009-0000-2113-4532</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Villanueva</surname><given-names>Diego</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3673-5706</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Vella</surname><given-names>Ryan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0748-9286</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Farron</surname><given-names>Paul</given-names></name>
          
        <ext-link>https://orcid.org/0009-0003-0749-3346</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff16 aff17">
          <name><surname>Bednarz</surname><given-names>Ewa</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7441-0497</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff18">
          <name><surname>Niemeier</surname><given-names>Ulrike</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0088-8364</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff19">
          <name><surname>Golja</surname><given-names>Colleen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2264-1015</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff20">
          <name><surname>Añel</surname><given-names>Juan A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2448-4647</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Earth and Atmospheric Sciences, Cornell University, Ithaca, NY 14850, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Environmental Sciences, Rutgers University, New Brunswick, NJ, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Reflective, San Francisco, CA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Mathematics and Statistics, University of Exeter, Exeter, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Atmospheric and Climate Sciences, University of Washington, Seattle, WA 98105, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Climate &amp; Global Dynamics Laboratory, NSF National Center for Atmospheric Research, Boulder, CO 80305, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Yokohama, Kanagawa, Japan</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Advanced Institute for Marine Ecosystem Change (WPI-AIMEC), Tohoku University, Sendai, Japan</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Instituto de Recursos Naturais, Universidade Federal de Itajubá, Itajubá, Brazil</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>University of Tokyo, Tokyo, Japan</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Department of Earth and Atmospheric Sciences, Indiana University, Bloomington, IN, USA</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>National Science Foundation – National Center for Atmospheric Research (NSF-NCAR), Atmospheric Chemistry Observations &amp; Modeling (ACOM), Boulder, CO, USA</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Institut de Recherches Halieutiques et Océanologiques du Bénin (IRHOB), Cotonou, Benin</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Physikalisch Meteorologisches Observatorium Davos/World Radiation Center, Davos, Switzerland</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>Institute for Atmospheric and Climate Science, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff16"><label>16</label><institution>Cooperative Institute for Research in Environmental Sciences (CIRES), University of Colorado at Boulder, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff17"><label>17</label><institution>NOAA Chemical Sciences Laboratory (NOAA CSL), Boulder, CO, USA</institution>
        </aff>
        <aff id="aff18"><label>18</label><institution>Max Planck Institute for Meteorology, Hamburg, Germany</institution>
        </aff>
        <aff id="aff19"><label>19</label><institution>Department of Physics, Imperial College London, London, UK</institution>
        </aff>
        <aff id="aff20"><label>20</label><institution>EPhysLab, CIM-UVigo, Universidade de Vigo, Ourense, Spain</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Daniele Visioni (dv224@cornell.edu)</corresp></author-notes><pub-date><day>11</day><month>September</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>17</issue>
      <fpage>8469</fpage><lpage>8499</lpage>
      <history>
        <date date-type="received"><day>27</day><month>April</month><year>2026</year></date>
           <date date-type="rev-request"><day>8</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>18</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>24</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Daniele Visioni et al.</copyright-statement>
        <copyright-year>2026</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://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026.html">This article is available from https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e446">The Geoengineering Model Intercomparison Project (GeoMIP) is a coordinated international model intercomparison effort with the aim of providing robust experimental protocols for simulations of various Solar Radiation Modification (SRM) methods. Through many iterations and discussions within the GeoMIP community, it has become clear that balancing simplicity, scientific realism, policy relevance and associated complexities is fundamental when designing modeling experiments. Such experiments must both diagnose areas of model agreement and disagreement through the lens of climate science and provide results useful for understanding the potential downstream impacts of SRM across different sectors. Here we present a suite of new climate model experiments designed for the Coupled Model Intercomparison Project Phase 7 (CMIP7), building on lessons learned from previous GeoMIP experiments, recent SRM research, and new simulations developed for CMIP7. We provide detailed experimental designs and their underlying rationale, including preliminary results from sensitivity analyses performed with CMIP6 models. Compared to previous GeoMIP iterations, we organize experiments into three categories: (i) Preparatory Experiments, designed to diagnose model responses and inform more complex experimental designs; (ii) Tier 1 experiments, the core simulations that all participating models should run; and (iii) Tier 2 experiments, which provide a flexible framework for exploring structural and scenario uncertainties under SRM, including the potential interaction with temporary overshoot scenarios and tipping elements dynamics. This framework encourages modeling groups to propose their own experiments building upon the Tier 1 backbone, enabling more targeted exploration while ensuring cross-model compatibility.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>NOAA Research</funding-source>
<award-id>NA22OAR4320151</award-id>
<award-id>NA22OAR4310479</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Japan Society for the Promotion of Science</funding-source>
<award-id>JP25K03324</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Development of Advanced Measurement and Analysis Systems</funding-source>
<award-id>JPMXD0722681344</award-id>
</award-group>
<award-group id="gs4">
<funding-source>National Science Foundation</funding-source>
<award-id>AGS-2017113</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e458">Solar Radiation Modification (SRM, also known as solar geoengineering or climate intervention) encompasses a broad category of theoretical methods that aim to affect Earth's energy balance with the goal of potentially reducing the impacts of anthropogenic global warming. Many of these methods are based on real-world analogues that suggest such interventions could be effective, either regionally or globally.</p>
      <p id="d2e461">Stratospheric Aerosol Injection (SAI) is inspired by observations of large explosive volcanic eruptions, such as Mt. Pinatubo in 1991, in which sulfate aerosols or their precursors are injected in the stratosphere, reflecting a portion of incoming sunlight before it reaches the troposphere and thereby cooling the planet. Marine Cloud Brightening (MCB) is inspired by observations of increased cloud albedo due to aerosol shipping emissions and lower-atmospheric injections of sulfate from some volcanic eruptions, leading to an increase of Earth's albedo through increased cloud brightness and other cloud changes such as changes in cloud coverage. Proposals for Cirrus Cloud Thinning (CCT) or Mixed-phase Cloud Thinning (MCT) arise from observations of the warming impact of tropospheric ice clouds, and questions whether their coverage could be reduced in order to allow for more terrestrial radiation to escape to space.</p>
      <p id="d2e464">The known natural events that inspire these proposals suggest they could be replicated artificially, though with obvious engineering challenges <xref ref-type="bibr" rid="bib1.bibx99" id="paren.1"/>. However, a broad understanding of the basic physical principles behind such analogues does not necessarily provide a deeper understanding of how effective these methods could be in the real world; both in terms of their actual capacity to reduce surface temperatures and of the downstream ramifications of a given cooling source. Both issues can be investigated through the use of climate models of different complexities, from simpler Energy Balance Models (EBMs) to highly complex Earth System Models (ESMs). Over the last 25 years of research within this field, such climate models have shown that none of those methods can simply “turn back the clock” <xref ref-type="bibr" rid="bib1.bibx125" id="paren.2"/>, reverting the climate to the same state that it was in before temperatures rose due to rising greenhouse gases. Models differ across various components of the projected response to SRM <xref ref-type="bibr" rid="bib1.bibx43" id="paren.3"/> and in their assessment of the methods' efficacy, due to a combination of model structural differences, parametric uncertainty, and different assumptions in how perturbations are represented as well as lack of inclusion of certain key underlying physical, chemical or natural processes in the models <xref ref-type="bibr" rid="bib1.bibx27" id="paren.4"/>. Nevertheless, they have also shown that in scenarios in which further warming is prevented through SRM in more or less idealized ways, and in which the cooling is maintained over time and is somewhat uniform in nature, key climatic risks could be reduced <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx115 bib1.bibx135" id="paren.5"/>, albeit not always uniformly geographically <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx28" id="paren.6"/>. Additionally, research has identified non-negligible secondary impacts or “unintended consequences” arising from the application of such methods, for instance on atmospheric composition <xref ref-type="bibr" rid="bib1.bibx109 bib1.bibx13" id="paren.7"/>. It is important to acknowledge the limitations of preliminary assessments on various fronts. Firstly, on the scenario front, the assessment of uniform, constant deployment may neglect considerations of irregularities in the potential deployment over time <xref ref-type="bibr" rid="bib1.bibx114" id="paren.8"/> or of potential asymmetries in deployment across hemispheres <xref ref-type="bibr" rid="bib1.bibx42" id="paren.9"/>. Secondly, on the modeling front, many of these assessments may over-rely on one or few models, under-representing uncertainties <xref ref-type="bibr" rid="bib1.bibx44" id="paren.10"/>, or the models may lack the spatial resolution necessary to correctly capture regional dynamics <xref ref-type="bibr" rid="bib1.bibx107" id="paren.11"/>, or key processes altogether, for instance in the ecological sphere <xref ref-type="bibr" rid="bib1.bibx141" id="paren.12"/>. These known limitations reinforce the importance of a systematic approach to coordinating modeling efforts.</p>
      <p id="d2e505">The Geoengineering Model Intercomparison Project (GeoMIP) is a coordinated, international effort with the aim of providing robust experimental protocols for Earth system model (ESM) simulations of various SRM methods. This coordination has three main identifiable goals: (1) enabling a better understanding of inter-model differences in SRM simulations, by ensuring experimental protocols are as detailed and well documented as possible to reduce potential divergence arising from differences in the modeling set-up; (2) offering a standardized framework of simulations for the purpose of broader assessments of SRM, making sure decisions around experimental details are taken by a broad representative community of climate scientists, which includes modelers and those interested in potential downstream impacts of SRM (including on agriculture, society, infrastructure and ecological systems) that is capable of assessing and documenting different needs and opinions; (3) supporting the community of users by facilitating data sharing practices and coordinating analyses. GeoMIP facilitates this coordination by organizing annual workshops, where researchers can both present their recent findings and discuss future steps, and for which reports are publicly made available every year (see, for instance, <xref ref-type="bibr" rid="bib1.bibx130" id="altparen.13"/> for the meeting held in 2025 where many of the decisions reported in this document were taken), as well as by coordinating with the broader Climate Model Intercomparison Project (CMIP) and World Climate Research Program (WCRP) community to ensure relevance and compliance with best practices, for instance informing efforts to better coordinate data requests for the most important variables for analyses <xref ref-type="bibr" rid="bib1.bibx55" id="paren.14"/>.</p>
      <p id="d2e515">A review of GeoMIP's role and efforts over the years, including a detailed list of experiments performed by the community, as well as lessons learned by previous experiments, was provided in <xref ref-type="bibr" rid="bib1.bibx128" id="text.15"/>. Since then, the community has continued discussions around future experiments to run as part of phase 7 of CMIP (CMIP7), considering both recent advances in understanding the design space of different SRM techniques and models' development (such as the potential inclusion of an interactive carbon cycle in CMIP7 models) as well as changes in other MIPs of relevance (for instance, the Scenario Model Intercomparison Project, ScenarioMIP). In particular, in <xref ref-type="bibr" rid="bib1.bibx129" id="text.16"/> a new, intermediate experimental protocol was proposed, noting that the original CMIP6 protocol described in <xref ref-type="bibr" rid="bib1.bibx59" id="text.17"/> required some updates that would have enabled continued policy relevance and connection to other MIPs on the scenario side as well as updating the potential intervention strategies to be simulated based on the most recent research. As an example, the original G6sulfur experiment simulated initialization of SRM in 2020 and simulated the intervention under the Shared Socioeconomic Pathway (SSP) scenario 5-8.5, whose relevance and plausibility has been hotly contested <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx97" id="paren.18"/>.</p>
      <p id="d2e530">In this paper, we describe the set of experiments decided by the GeoMIP community for CMIP7, detailing both the underlying reasoning behind the specific decisions as well as providing as much guidance as possible for modeling teams. We describe first what we call the “Preparatory experiments” in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, which are shorter, more technical idealized simulations to enable the design of the main CMIP7 simulations, traditionally termed “Tier 1”, which are described in Sect. <xref ref-type="sec" rid="Ch1.S3"/>; followed by a description of a broader range of experiments termed “Tier 2” that both aim to expand the range of potential scenarios under analyses as well as allowing for some more tentative experiments, in Sect. <xref ref-type="sec" rid="Ch1.S4.SS4"/>. Experiments described here include SAI, MCB and MCT. An idealized experiment involving CCT was proposed in <xref ref-type="bibr" rid="bib1.bibx59" id="text.19"/> (G7cirrus) but its results from four ESMs were only recently analysed in <xref ref-type="bibr" rid="bib1.bibx101" id="text.20"/>, and the community has not expressed specific interest in updating this experiment or proposing new ones for CMIP7; this doesn't preclude that renewed interest might result in future GeoMIP CCT experiments.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Preparatory experiments</title>
      <p id="d2e553">Before running the main Tier 1 experiments, modeling teams are advised to run these simpler, shorter experiments that allow for a better diagnosis of the models' responses to the Tier 1 experiments, as well as clarifying the models' sensitivities to the interventions. Consistently defined preparatory experiments serve to both enable clearer assessment of process differences across models and provide a template to simplify the preparation for the Tier 1 simulations based on past modeling experience. A detailed explanation of all these experiments, listed in Table <xref ref-type="table" rid="T1"/>, is provided in the following subsections.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e561">Process understanding, preparatory experiments to help run and interpret the Tier 1 experiments. SPI <inline-formula><mml:math id="M1" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Single Point Injections; MAMJ <inline-formula><mml:math id="M2" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> March, April, May, June; SOND <inline-formula><mml:math id="M3" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> September, October, November, December; SSI <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Sea salt injections, values refer to the injection rate of NaCl which is typically around 3.5 % in sea-water; SST <inline-formula><mml:math id="M5" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> sea surface temperature; ML <inline-formula><mml:math id="M6" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Medium-Low scenario. The last row shows the total number of experiments and the minimum number of years of simulation (one ensemble member is sufficient).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Detail of experiment</oasis:entry>
         <oasis:entry colname="col3">Underlying</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">emission</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Preparation for G7-1.5K-HiLLA experiment</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-sulf-60N</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 60° N during MAMJ, at 15 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Inj-sulf-60S</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 60° S during SOND, at 15 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Preparation for G7-1.5K-SAI experiment</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-sulf-30N</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 30° N yearly, at 21.5 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Inj-sulf-30S</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 30° S yearly, at 21.5 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Preparation for G7-1.5K-MCB experiment</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-seasalt-midlat-SST</oasis:entry>
         <oasis:entry colname="col2">SSI in 5 midlat regions of 100 Tg yr<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">fixed SST</oasis:entry>
         <oasis:entry colname="col4">min 5 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">split equally in mass between hemispheres</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-seasalt-midlat</oasis:entry>
         <oasis:entry colname="col2">SSI in 5 midlat regions of <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 W m<sup>−2</sup></oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 20 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">split equally in mass between hemispheres</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total: At least 8 experiments</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">At least 105 years</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Preparation for other SAI experiments and training emulators</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-sulf-15N</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 15° N yearly, at 21.5 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Insta-sulf-15N</oasis:entry>
         <oasis:entry colname="col2">Instantaneous injection of 12 Tg-SO<sub>2</sub> using the same details as Inj-sulf-15N</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 5 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-sulf-15S</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at 15° S yearly, at 21.5 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10  years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-sulf-XN/S</oasis:entry>
         <oasis:entry colname="col2">SPI of 12 Tg-SO<sub>2</sub> at another latitude yearly, at 21.5 km height</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">if needed to expand exploration of SAI strategies</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035, min 10 years</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Single point injection location SAI simulations</title>
      <p id="d2e1026">Modeling centers aiming to run the G7-1.5K-SAI (and similar) simulations should consider performing single point injection (SPI) simulations of 12 Tg-SO<sub>2</sub> for a number of years (10 years is the minimum, 35 years is suggested) at specific latitudes, using the same fully-coupled atmosphere-ocean configuration as the one they plan to use for G7-1.5K-SAI. SPIs at 30° N, 15° N, 15° S, 30° S were already proposed as a testbed experiment in CMIP6 in <xref ref-type="bibr" rid="bib1.bibx126" id="text.21"/> in order to understand models' sensitivities to different injection locations and to allow for the calculations necessary to devise the feedback controller <xref ref-type="bibr" rid="bib1.bibx74" id="paren.22"/>. These simulations have been shown to be very informative in diagnosing models' responses to SAI, for instance helping understand how the evolution of the aerosol plume affects the Atlantic Meridional Overturning Circulation (AMOC) or Arctic sea ice <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx56" id="paren.23"/>, as well as to train climate emulators capable of better spanning the space of SAI strategies <xref ref-type="bibr" rid="bib1.bibx32" id="paren.24"/>. For CMIP7, the set has been expanded to include injections at 60° N and 60° S for the High Latitude, Low Altitude (HiLLA) simulations, and given earlier results from <xref ref-type="bibr" rid="bib1.bibx66" id="text.25"/> and <xref ref-type="bibr" rid="bib1.bibx24" id="text.26"/> at an altitude of 15 km, whereas injections at 30° N and 30° S should be performed at an altitude of 21.5 km as described in <xref ref-type="bibr" rid="bib1.bibx94" id="text.27"/>. The injection longitude is not as important for injections significantly above the tropopause <xref ref-type="bibr" rid="bib1.bibx105" id="paren.28"/>, but for consistency injections should be all at 0° E.</p>
      <p id="d2e1063">To be most useful, modeling teams running this set of preparatory experiments should also include diagnostics that help evaluate how injection location shapes regional climate systems. This could include variables that enable the evaluation of changes in monsoon rainfall (daily precipitation, sea surface temperatures), Arctic sea ice (extent and volume), and the AMOC (through ocean circulation diagnostics), as well as variables that enable estimates of hydrological cycle changes <xref ref-type="bibr" rid="bib1.bibx92" id="paren.29"><named-content content-type="pre">see for instance the analyses of freshwater availability in</named-content></xref>. Such diagnostics can help identify model dependent sensitivities and clarify the extent to which injection strategies can minimize disruptions while achieving the desired cooling target. Preparatory experiments also provide an opportunity to test the robustness of SRM strategies across diverse climate models. By systematically analysing responses across regions, they ensure that future SRM assessments can incorporate perspectives from different climates and socio-economic contexts, rather than focusing only on global averages. This broader approach strengthens the scientific foundation of Tier 1 experiments and enhances their relevance for both science and policy. SPI simulations have shown great promise as training elements for SAI climate emulators  <xref ref-type="bibr" rid="bib1.bibx32" id="paren.30"/>, and extending the number of models providing SPI simulations at different latitudes could provide further training data to improve and expand the exploration of different scenarios beyond what is feasible to do with ESMs.</p>
      <p id="d2e1074">Modeling centers should also consider running a version of the 15° N case (Inj-sulf-15N) with the same yearly amount (12 Tg-SO<sub>2</sub>), location and height (21.5 km), but where the injection is instantaneous, on January 1st, in order to also provide a comparison of pulse versus continued injection impacts <xref ref-type="bibr" rid="bib1.bibx88" id="paren.31"/>, and that could provide a point of comparison with volcanic-related MIPs such as VolMIP <xref ref-type="bibr" rid="bib1.bibx140" id="paren.32"/> and ISAMIP <xref ref-type="bibr" rid="bib1.bibx89" id="paren.33"/>. Additionally, it is worth noting here that, as part of the Detection and Attribution MIP <xref ref-type="bibr" rid="bib1.bibx39" id="paren.34"><named-content content-type="pre">DAMIP,</named-content></xref>, there are CMIP7 experiments aimed at isolating the historical volcanic forcing (hist-volc), and that CMIP7 forcings will also include volcanic SO<sub>2</sub> emissions <xref ref-type="bibr" rid="bib1.bibx4" id="paren.35"/>: the use of these simulations could be rather important to evaluate the SAI response in models in light of their response to historical volcanism.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Midlatitude MCB benchmarking simulations</title>
      <p id="d2e1122">MCB simulations for GeoMIP7 focus on a strategy in which MCB accumulation-mode sea salt aerosol emissions are emitted at the ocean surface in five mid-latitude ocean regions, with emission rates set to produce equal areal-sum emissions in each hemisphere, following recent testbed simulations <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx48" id="paren.36"/> (see discussion and region definitions in Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>). To prepare for the G7-1.5K-MCB scenario simulations, modelers should conduct two benchmarking simulations aimed at characterizing the cloud susceptibility and climate response to mid-latitude MCB: Inj-seasalt-midlat-SST and Inj-seasalt-midlat. This two-stage approach is motivated by model intercomparison work showing large differences in the aerosol-cloud forcing susceptibility to MCB sea salt aerosol emissions <xref ref-type="bibr" rid="bib1.bibx104 bib1.bibx91" id="paren.37"/> due to differences in the size distribution of aerosol emissions and aerosol-cloud process uncertainty. Thus, in contrast to the SAI preparatory simulations, we request that modelers first estimate the effective radiative forcing from MCB using a fixed sea surface temperatures simulation (Inj-seasalt-midlat-SST). This simulation should use present-day SST and emission fields if possible and we recommend an initial emission rate of 100 Tg yr<sup>−1</sup> of NaCl (see below for the recommended aerosol size distribution) at the lowest atmospheric level. This falls roughly within the emission rates found in <xref ref-type="bibr" rid="bib1.bibx3" id="text.38"/> and <xref ref-type="bibr" rid="bib1.bibx49" id="text.39"/>. In addition to easing the benchmarking process, consistently defined fixed SST simulations will be necessary for conducting process analysis studies to understand aerosol, cloud, and other processes that cause inter-model differences in MCB efficacy that are crucial for improving process understanding, identifying model deficiencies, and constraining the potential forcing from MCB.</p>
      <p id="d2e1152">The magnitude of MCB forcing depends strongly on the details of the injected sea salt aerosols, particularly the size distribution of the emitted aerosol as the aerosol-cloud interactions depend primarily on the aerosol number flux rather than the mass flux <xref ref-type="bibr" rid="bib1.bibx91" id="paren.40"/>. Previous ESM and parcel modeling work has identified accumulation mode aerosol as the most effective size to achieve cloud brightening <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx20 bib1.bibx138" id="paren.41"/> with approximate effective dry radii of 30 to 50 nm, depending on the activation parameterization. We recommend modelers use injected sea salt emissions in this size range, though we recognize this may not be strictly possible depending on sea salt emission parameterization implementation. MCB scenario simulations have been successfully completed with sea salt aerosol effective radii of up to 180 nm. However, emission size can drive large variations in the sea salt aerosol mass required across the models (<xref ref-type="bibr" rid="bib1.bibx48" id="altparen.42"/>, Fig. <xref ref-type="fig" rid="F4"/>a), meaning careful documentation of the emitted sea salt size distribution is necessary to compare models' responses, as the inter-model range tends to decrease when considering the number flux instead (Fig. <xref ref-type="fig" rid="F4"/>b). This documentation should include the assumed dry aerosol size distribution (mode radius and geometric standard deviation, or bin/mode boundaries for sectional schemes) and the assumed particle density.</p>
      <p id="d2e1168">Using the information from this simulation, modelers should then conduct a coupled simulation to estimate the climate response sensitivity to MCB (Inj-seasalt-midlat). This simulation is patterned on previous GeoMIP MCB simulations, G4cdnc and G4sea-salt <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx1" id="paren.43"/>, with a Medium-Low (ML) emission scenario as a reference case and a time-constant MCB emission rate applied for a minimum of 20 years starting in 2035. In contrast to previous simulations, we prescribe a target forcing (<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> W m<sup>−2</sup>), rather than a predetermined emission rate or droplet number enhancement. The MCB aerosol-cloud forcing is non-linear, however a linear assumption is likely sufficient to provide a reasonable estimate of the climate sensitivity. Thus, we recommend setting the emission rate to 100 Tg yr<inline-formula><mml:math id="M24" 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:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> ERF<sub>100 Tg</sub>), where ERF<sub>100 Tg</sub> is the effective radiative forcing computed from Inj-seasalt-midlat-SST. The temperature response derived from this simulation will then enable modelers to design and conduct the G7-1.5K-MCB simulations.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Tier 1 CMIP7 experiments</title>
      <p id="d2e1268">The Tier 1 experiments are higher-priority fully coupled experiments that all modeling teams are encouraged to run. The underlying framework behind the scenario choices has been explained in detail in <xref ref-type="bibr" rid="bib1.bibx129" id="text.44"/> for the experiment G6-1.5K-SAI. <xref ref-type="bibr" rid="bib1.bibx129" id="text.45"/> was meant to both collect the thoughts and opinions of the GeoMIP community about what constitutes a broadly agreed upon, policy-relevant SRM experiment and to devise an experiment that could be run with some consistency with CMIP6 models and with CMIP7 models, in order to compare more easily across models' generations. This meant avoiding too high GHG emission scenarios that might not have a CMIP7 counterpart, as well as being considered less realistic, and selecting a scenario that was more consistent with current and near-term future emission trajectories: for CMIP6, that entailed selecting SSP2-4.5 <xref ref-type="bibr" rid="bib1.bibx15" id="paren.46"/>, whereas during the Fifteenth GeoMIP workshop <xref ref-type="bibr" rid="bib1.bibx130" id="paren.47"/> the ML scenario was selected as the CMIP7 counterpart. During the Fifteenth and Sixteenth GeoMIP workshops, there was extended and lively debate over the selection of the ML scenario over the M one: while neither are entirely compatible with SSP2-4.5, ML is certainly on the more “optimistic” side, with emission reductions starting sooner and far more extensively as compared to M, where emissions plateau throughout the century. While full consensus was elusive, a clear majority of participants preferred ML on the specific ground that simulating SRM methods under an emission scenario with strong mitigation would strengthen the message that SRM should not be considered as a substitute to mitigation, and that a stronger physical signal due to more cooling could be obtained by simulating a scenario with like G7-0.5K-SAI (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS4"/>).</p>
      <p id="d2e1285">This also meant anchoring the SRM target to a clearly defined metric that could be consistent between simulations with concentration-driven CO<sub>2</sub> and simulations with emission-driven CO<sub>2</sub>. For this reason, the goal of the Tier 1 CMIP7 simulations, just like the CMIP6 ones, is to deploy SRM to maintain global mean temperatures at 1.5 °C above Preindustrial (i.e. a time period as close to “present day”  as possible). The definition of 1.5 °C above Preindustrial (PI) is somewhat different from what is usually used: after testing and analyses, it was decided to anchor the definition of 1.5 °C above PI for the purpose of the simulations' target to each model's average global mean surface air temperatures (GMSAT) in the period 2020–2039. This rationale has been explored in <xref ref-type="bibr" rid="bib1.bibx129" id="text.48"/>; mainly, models' actual PI temperatures diverge greatly, and so does the period 1850–1900, which is usually used as a reference timeframe in the IPCC and other assessments. On the other hand, anchoring the target to the actual models' near-present time temperatures allows for models to have a consistent start date for the SRM deployment, as well as making it easier to compare across models with different base states, and across model generations.</p>
      <p id="d2e1309">Table <xref ref-type="table" rid="T2"/> lists the four experiments proposed as Tier 1, together with a brief description of the intervention, that will be expanded upon in the following subsections, and details about the underlying scenario used <xref ref-type="bibr" rid="bib1.bibx116" id="paren.49"/> and the time period in which the simulations should be run.</p>
      <p id="d2e1317">In terms of nomenclature, we have decided to use the G6 moniker (i.e. G6-1.5K-SAI) for simulations run with CMIP6 models and scenarios, whereas the G7 moniker (i.e. G7-1.5K-SAI) is used for simulations run with CMIP7 models and scenarios. The differences and similarities between the two scenarios are sketched in Fig. <xref ref-type="fig" rid="F1"/>. For each experiment, 3 ensemble members are suggested. Considering the CMIP7 scenarios will have extensions to 2150, it will be preferable if at least one ensemble member can be extended to 2150, whereas the others are only run to 2100.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1325">Schematics of G6 and G7 Tier 1 experiments, with differences between underlying scenarios from CMIP6 and CMIP7 sketched and details about the forcing methodologies (consistent across G6 and G7). The black lines represent the ScenarioMIP scenarios selected as a background for the experiments; the blue lines represent the related GeoMIP experiment; the red line in the bottom part of the plots represents the intervention magnitude (depending on the specific experiment, measured in Tg-S or Tg-SS (sea salt)).</p></caption>
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f01.png"/>

      </fig>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1337">Tier 1 experiments for GeoMIP7. Specific details about the experimental set-ups and their justifications are provided in the text; Determination of injection amounts in the experiments to be performed through a 1 Degrees-of-freedom (DOF) feedback controller as discussed in <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx67" id="text.50"/>. GMSAT <inline-formula><mml:math id="M30" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Global Mean Surface Air Temperature; SAI <inline-formula><mml:math id="M31" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Stratospheric Aerosol Injection; HiLLA <inline-formula><mml:math id="M32" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> High Latitude, Low Altitude; MCB <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Marine Cloud Brightening; ML <inline-formula><mml:math id="M34" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Medium-Low scenario <xref ref-type="bibr" rid="bib1.bibx116" id="paren.51"/>; PEM <inline-formula><mml:math id="M35" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Per Ensemble Member.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Description of intervention</oasis:entry>
         <oasis:entry colname="col3">Underlying emission</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-SAI</oasis:entry>
         <oasis:entry colname="col2">Equal daily injections of SO<sub>2</sub> at 30° N and 30° S for the whole year</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain GMSAT at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">G7-1.5K-SAI-End</oasis:entry>
         <oasis:entry colname="col2">Termination of G7-1.5K-SAI in 2085</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2085–2100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-HiLLA</oasis:entry>
         <oasis:entry colname="col2">Equal daily injections of SO<sub>2</sub>, 60° N (during MAMJ)</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">and 60° S (during SOND) to maintain GMSAT at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-MCB</oasis:entry>
         <oasis:entry colname="col2">Injections of sea salt aerosols in five midlatitude regions with equal mass</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">in both hemispheres to maintain GMSAT at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total: 3 experiments</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">345 years PEM</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>G7-1.5K-SAI</title>
      <p id="d2e1571">The G7-1.5K-SAI experiment is functionally identical to the G6-1.5K-SAI experiment, but uses a CMIP7 emissions scenario. In G7-1.5K-SAI, hemispherically symmetric SAI in the subtropical stratosphere is used to maintain a fixed GMSAT of approximately 1.5 °C above the preindustrial average. The experiment branches from the ML emissions scenario, begins in model year 2035 and runs until model year 2150. Given how we've defined 1.5 K above preindustrial, this means the start in 2035 in all models does not require a large initial amount of SO<sub>2</sub> to be injected all at once, as it happened in the ARISE protocols for UKESM <xref ref-type="bibr" rid="bib1.bibx44" id="paren.52"/>. Each year, SO<sub>2</sub> is injected into the stratosphere in sufficient quantity to cool the planet by the amount needed to maintain the prescribed temperature target. The total quantity of SO<sub>2</sub> is placed into grid boxes at 21.5 km altitude as per the Inj-sulf-30N/S simulations above, divided evenly between 30° N and 30° S latitude.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Why symmetrical injections?</title>
      <p id="d2e1611">As discussed in <xref ref-type="bibr" rid="bib1.bibx129" id="text.53"/>, the one-degree-of-freedom (1-DOF) injection strategy used in the G6- and G7-1.5K-SAI experiments is intended to balance optimality, plausibility, and simplicity. By using a 1-DOF strategy, we aim only to maintain GMSAT at 1.5 K, but more complexity (e.g., aiming to also manage regional impacts or large-scale gradients) is possible. Previous research into the optimization of SAI strategy design has identified (at minimum) two more degrees of freedom in the surface temperature response <xref ref-type="bibr" rid="bib1.bibx65" id="paren.54"/>. Firstly, an imbalance in radiative forcing between the Northern and Southern Hemispheres will push the Intertropical Convergence Zone (ITCZ) towards the warmer hemisphere; this means that single-hemisphere injection is generally considered to be undesirable <xref ref-type="bibr" rid="bib1.bibx41" id="paren.55"/>, and SAI simulations are usually hemispherically symmetric or strategically managed across hemispheres to maintain the interhemispheric temperature gradient. Secondly, the latitude(s) of injection determine the relative amount of cooling at the tropics vs. the poles; as such, over the past decade, strategy design has gravitated towards off-equatorial (rather than equatorial) injection to offset polar amplification and avoid overcooling the tropics and undercooling the poles. SAI simulations have been conducted which simultaneously manage, or attempt to manage, all three simultaneously (henceforth, a “3-DOF strategy”) with injections at multiple latitudes simultaneously, usually 15  and 30° N and S. However, the optimal injection strategy, or even the ideal set of injection latitudes across which to optimize, is unique to different climate models <xref ref-type="bibr" rid="bib1.bibx44" id="paren.56"/>. To maintain simplicity, for G6-1.5K-SAI and G7-1.5K-SAI, we instead choose a 1-DOF design (i.e., maintain GMSAT only) and choose an injection strategy likely to minimize disruption of the other two degrees of freedom. Figure <xref ref-type="fig" rid="F2"/>, taken directly from <xref ref-type="bibr" rid="bib1.bibx70" id="text.57"/>, compares temperature changes for G6-1.5K-SAI and G6sulfur; both are 1-DOF strategies, but G6-1.5K-SAI (30° injection) has less residual warming at the poles and over NH land, on average, than G6sulfur (equatorial injection). G6-1.5K-SAI also disrupts tropical precipitation over land significantly less than G6sulfur <xref ref-type="bibr" rid="bib1.bibx70" id="paren.58"><named-content content-type="pre">see</named-content><named-content content-type="post">Fig. 8</named-content></xref>. Hemispherically symmetrical 30°  is unlikely to be the “ideal” injection strategy for any of the participating models (and, indeed, is known <italic>not</italic> to be for most of them), but based on the G6-1.5K-SAI results, we know it is a reasonable choice for a 1-DOF strategy which will cool the planet while cooling the poles and limiting ITCZ disruption more effectively than equatorial injection. Additionally, analysing how well (or poorly) the strategy achieves these secondary objectives for individual models will provide insights into how injection strategies might be improved in each model. For example, G6-1.5K-SAI overcools the Northern Hemisphere (NH) in the CESM2 model, suggesting that Southern Hemisphere (SH) injection should be preferred in that model; however, the same strategy undercools the Arctic in UKESM1.1 and MIROC-ES2H, indicating that 30° N is not sufficiently poleward of an injection latitude to offset Arctic amplification in those models (see <xref ref-type="bibr" rid="bib1.bibx70" id="altparen.59"><named-content content-type="post">Fig. 5</named-content></xref>).</p>
      <p id="d2e1647">These model-dependent sensitivities are shown in Fig. <xref ref-type="fig" rid="FA1"/>, in which the projections of zonal mean surface air temperature on the first three latitude-dependent Legendre polynomials (<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">ℓ</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are shown: <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is equivalent to GMSAT (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∫</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi></mml:msub><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ψ</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents the inter-hemispheric temperature gradient (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∫</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi></mml:msub><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ψ</mml:mi></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents the equator-to-pole temperature gradient (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>A</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mo>∫</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi></mml:msub><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:msup><mml:mi>sin⁡</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mi>T</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ψ</mml:mi><mml:mo>)</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ψ</mml:mi></mml:mrow></mml:math></inline-formula>). Compared to ARISE-like simulations performed by CESM2 and UKESM <xref ref-type="bibr" rid="bib1.bibx44" id="paren.60"/>, in which a controller algorithm <xref ref-type="bibr" rid="bib1.bibx61" id="paren.61"/> is used to determine how much sulfate mass to inject in order to maintain <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 2020–2039 levels, in the G6-1.5K-SAI the symmetrical injection location leads to models responding differently in  <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (in most models, the symmetrical injection also preserves the interhemispheric temperature gradient, but not in CESM2) and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (in most models, the symmetrical injection also preserves the equator-to-pole temperature gradient, but less in UKESM, also in ARISE, due to an increased confinement of the aerosols near the tropics due to stratospheric circulation <xref ref-type="bibr" rid="bib1.bibx11" id="paren.62"/>). Understanding what drives these different responses is an opportunity, rather than a drawback, for the G6-1.5K experimental protocol; a simple protocol enables easier investigation into the diverging physical response in different climate models.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1929">From <xref ref-type="bibr" rid="bib1.bibx70" id="text.63"/>: Maps of near-surface air temperature changes (in °C) for G6-1.5K-SAI and G6sulfur multi-model means, between three different periods: (1) the reference period, corresponding to the period over which the GMSAT targets are defined; (2) the warmed world; and (3) the new climate state reached under GHG plus SAI. The left column plots the difference between (1) and (2), representing the impacts of global warming alone; the middle column plots the difference between (2) and (3), representing the impacts of SAI alone; and the right side column plots the difference between (1) and (3), representing the combined impacts of warming and SAI. For G6-1.5K-SAI, period (1) is SSP2-4.5 2020-2039, period (2) is SSP2-4.5 2065-2084, and period (3) is G6-1.5K-SAI 2065-2084. For G6sulfur, all three periods are averages of 2070–2089 data, in which the amount of cooling is approximately the same (1.4 °C) as the last 20 years of G6-1.5K-SAI. Shading represents areas where models disagree on the sign of the change (fewer than 3 out of 4 for G6-1.5K-SAI, and fewer than 4 out of 6 for G6sulfur).</p></caption>
            <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f02.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Simulations set-up</title>
      <p id="d2e1949">The preparatory experiments described in Table <xref ref-type="table" rid="T1"/> are intended to assist in setting up G7-1.5K-SAI by determining the model's sensitivity to SAI at 30° latitude. With the sensitivity known, injection rates can be chosen to drive the climate towards, and maintain, the PI <inline-formula><mml:math id="M53" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.5 °C temperature target <inline-formula><mml:math id="M54" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 °C. This could be done manually using a “guess-and-check” process, as was done in most models for G6sulfur <xref ref-type="bibr" rid="bib1.bibx59" id="paren.64"/>; however, the process of choosing injection rates is greatly facilitated by the use of a feedback control algorithm, an approach used by some G6sulfur models and all G6-1.5K-SAI models. The preparatory experiments provide sufficient system identification information to write a simple feedback algorithm which can choose the required injection rates in the presence of uncertainty in the response and variability. This process was first used to design a 3-DOF experiment by <xref ref-type="bibr" rid="bib1.bibx74" id="text.65"/> and <xref ref-type="bibr" rid="bib1.bibx61" id="text.66"/>; while the design process for the original feedback algorithm was quite complex, it is possible to modify their original algorithm for similar 3-DOF and 1-DOF experiments with the following steps. The necessary unknowns are constants, called controller gains, which determine how much SO<sub>2</sub> to inject based on the running deviation from the temperature target. A process for deriving these gains from the original algorithm is described by <xref ref-type="bibr" rid="bib1.bibx67" id="text.67"/> in their Sect. 2.2, but to briefly summarize: if the sensitivity of a climate model (in units of °C per Tg SO<sub>2</sub> yr<sup>−1</sup>) to 30° N <inline-formula><mml:math id="M58" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 30° S injection is known, adequate controller gains for controlling GMSAT with SAI at 30° N <inline-formula><mml:math id="M59" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 30° S can be computed, producing a gain in units of [Tg SO<sub>2</sub> yr<sup>−1</sup>][ °C<sup>−1</sup>]. The detailed procedure is described in <xref ref-type="bibr" rid="bib1.bibx127" id="text.68"/> and <xref ref-type="bibr" rid="bib1.bibx74" id="text.69"/>. This gain can then be used to construct a feedback algorithm in the form of Eq. (1) in <xref ref-type="bibr" rid="bib1.bibx67" id="text.70"/>.</p>
      <p id="d2e2069">Models that do not have interactive stratospheric aerosols can still run G7-1.5K-SAI: they can either use their own stratospheric aerosol distribution (as done by both MPI versions in the G6sulfur experiments, and by CNRM <xref ref-type="bibr" rid="bib1.bibx125" id="paren.71"/>), as long as it looks reasonably symmetrical between the hemispheres, or they can use a scaled version of the CESM2-WACCM6 generated distribution (or other models) for the G6-1.5K-SAI, as proposed in the Climate Chemistry Model Intercomparison CCMI-2022 senD2-sai experiment <xref ref-type="bibr" rid="bib1.bibx111" id="paren.72"/>, to fully simulate the aerosol impacts in the stratosphere. In the latter case, modeling centers can request a data set of aerosol radiative properties (extinction coefficient, single-scattering albedo, asymmetry factor) on their model-specific wavelengths to the GeoMIP co-chairs. Such data will be provided on request – as modeling centers will also have to share the details of their short-wave and long-wave radiative transfer model spectral grids – and prepared with the REtrieval Method for optical and physical Aerosol Properties in the stratosphere (REMAPv1) that was described in <xref ref-type="bibr" rid="bib1.bibx54" id="text.73"/>. In short, the REMAPv1 method works by first retrieving the parameters of a single-mode log-normal aerosol size distribution that represents the input dataset in a best-fit sense. From there, it computes optical properties on any specified wavelengths (or wavelength bands) using Mie theory. In this manner, using REMAPv1, modeling centers can also obtain all necessary aerosol properties from the preparatory Inj-sulf cases described in Sect. <xref ref-type="sec" rid="Ch1.S2"/> from other models to understand their own model's climate response to different patterns of aerosols.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>G7-1.5K-SAI-End</title>
      <p id="d2e2092">Many members of the community have highlighted the importance of conducting a coordinated experiment that includes an abrupt termination of SAI <xref ref-type="bibr" rid="bib1.bibx85" id="paren.74"/> in the context of GeoMIP. <xref ref-type="bibr" rid="bib1.bibx95" id="text.75"/> first included an abrupt termination in their SAI experiment using constant yearly emissions of SO<sub>2</sub>. A similar experiment was then part of the original G4 experiment <xref ref-type="bibr" rid="bib1.bibx57" id="paren.76"/>, and the climatic responses were then explored in multiple papers <xref ref-type="bibr" rid="bib1.bibx114 bib1.bibx53" id="paren.77"/>; it has now been deemed to be an important inclusion in the CMIP7 simulations in order to offer a more comprehensive picture of potential SAI risks. For this reason, we propose a G7-1.5K-SAI-End experiment that branches off from the G7-1.5K-SAI, abruptly ending SO<sub>2</sub> injections at the end of 2084, and that continues simulations for at least 15 years to understand Earth system responses under an abrupt warming. Simulations with an abrupt termination can also be leveraged to emulate the response under more moderate phase-outs scenarios by expanding the scenario space <xref ref-type="bibr" rid="bib1.bibx31" id="paren.78"/>, and are also likely to inform assessment of SAI impacts on tipping dynamics and risks therein <xref ref-type="bibr" rid="bib1.bibx143 bib1.bibx71 bib1.bibx12" id="paren.79"/>.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>G7-1.5K-HiLLA</title>
      <p id="d2e2140">As with G7-1.5K-SAI and G6-1.5K-SAI, the G7-1.5K-HiLLA (“High-Latitude, Low-Altitude”) experiment is identical to the earlier G6-1.5K-HiLLA experiment <xref ref-type="bibr" rid="bib1.bibx25" id="paren.80"/>, except that it uses the CMIP7 emissions scenario. G7-1.5K-HiLLA matches the global mean temperature target of G7-1.5K-SAI, but instead of year-round subtropical (30°) injection, the G7-1.5K-HiLLA experiment uses spring/early-summer (MAMJ for the NH, SOND for the SH) low-altitude (15 km) injection in the sub-polar latitudes (60°). This is a scenario which aims to represent a plausible early-stage, logistically constrained deployment of SAI <xref ref-type="bibr" rid="bib1.bibx136" id="paren.81"/>, that might be deployable using modified existing aircraft, rather than using novel high-flying ones <xref ref-type="bibr" rid="bib1.bibx24" id="paren.82"/>. Unlike for G7-1.5K-SAI, the longitude of injection is prescribed, at 180° E. With lower altitude injection, longitude likely has larger effects than at high altitudes <xref ref-type="bibr" rid="bib1.bibx105" id="paren.83"/>, and previous HiLLA simulations show non-negligible impacts of varying longitude, particularly in the Southern Hemisphere <xref ref-type="bibr" rid="bib1.bibx25" id="paren.84"/>.</p>
      <p id="d2e2158">Hemispherically symmetric injections are used in the G7-1.5K-HiLLA scenario for the same reasons as the G7-1.5K-SAI case above. As above, this strategy will not perfectly maintain interhemispheric temperature gradient in any model, and there is substantial divergence across models in the zonal mean temperature response under G6-1.5K-HiLLA (Fig. <xref ref-type="fig" rid="F3"/>), in part due to differences in the model's Arctic amplification in the background SSP2-4.5 warming. In UKESM1-1 and MIROC-ES2H,  the substantial high latitude NH residual warming present under G6-1.5K-SAI is reduced under G6-1.5K-HiLLA. Alternatively, overcooling in the NH high latitudes in CESM2-WACCM under G6-1.5K-SAI is increased even further under G6-1.5K-HiLLA.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2165"><bold>(a–d)</bold> Injection magnitude (Tg SO<sub>2</sub>), <bold>(e–h)</bold> Global mean surface air temperature (GMSAT), and <bold>(i–l)</bold> zonal mean temperature change relative to the 2020–2039 baseline (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>), for the four models with G6-1.5K-SAI and G6-1.5K-HiLLA simulations. The solid lines show ensemble means and shaded areas show ensemble range, using the first three members for all scenarios. </p></caption>
          <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f03.png"/>

        </fig>

<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Why 15 km injection altitudes?</title>
      <p id="d2e2210">Testbed simulations <xref ref-type="bibr" rid="bib1.bibx25" id="paren.85"/> indicated a strong dependence on injection altitude under HiLLA strategies, with global mean cooling increased from 0.6 °C per 12 Tg SO<sub>2</sub> to 1.0 °C per 12 Tg SO<sub>2</sub>, when altitude is increased from 13 to 15 km. The maximum altitude of various large jetliners is 13 km <xref ref-type="bibr" rid="bib1.bibx100" id="paren.86"/>, so the G6-1.5K-HiLLA strategy may not represent a logistically feasible strategy with these aircraft. However, given the significant global cooling required to meet the G7-1.5K strategy, and so produce a climate state comparable with G6-1.5K-SAI, the altitude of 15 km was chosen to achieve sufficient cooling efficiency to prevent the need for extremely large injection magnitudes. </p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Simulations set-up</title>
      <p id="d2e2246">The experimental setup for G7-1.5K-HiLLA is identical to that of G7-1.5K-SAI, except that 15 km springtime 60° injection is used instead of 21.5 km year-round 30° injection. Once the model sensitivity to 60° injection is known, the injection rates can be determined through the same process outlined in Sect. 3.1.2. Across the four models with simulations of both G6-1.5K-HiLLA and G6-1.5K-SAI, the relative global mean cooling efficiency, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mtext>HiLLA</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mtext>SAI</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> (where <inline-formula><mml:math id="M70" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> is global mean cooling per unit injection), ranges from 0.57 to 0.64 K Tg-S<sup>−1</sup> across the four models (0.57 in CESM2-WACCM, 0.64 in UKESM1-1, 0.64 in E3SMv3, and 0.60 in MIROC-ES2H). Equivalently, G6-1.5K-HiLLA requires 1.56 to 1.76 times the injection magnitude of G6-1.5K-SAI to achieve the same target state. Given that injection occurs in only four months in each hemisphere, the rate of SO<sub>2</sub> injection in G6-1.5K-HiLLA is approximately five times higher than that under G6-1.5K-SAI. HiLLA strategies achieve their global mean cooling via greater polar and less tropical cooling than low latitude injection strategies (Fig. <xref ref-type="fig" rid="F3"/>), and so the HiLLA efficiency would be reduced if defined in terms of the cooling of low latitude regions <xref ref-type="bibr" rid="bib1.bibx25" id="paren.87"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>G7-1.5K-MCB</title>
      <p id="d2e2313">The G7-1.5K-MCB experiment follows the choices made for the G7-1.5K-SAI experiment, except that it uses MCB, and is functionally identical to G6-1.5K-MCB <xref ref-type="bibr" rid="bib1.bibx48" id="paren.88"/> but using the CMIP7 ML emission scenario as its reference. In G7-1.5K-MCB, MCB is applied by injecting sea salt aerosol at the same vertical level as natural sea salt emissions (typically in the lowest level of the atmospheric grid) in grid cells with ocean fraction greater than 0.5 in five midlatitude ocean areas (see Fig. <xref ref-type="fig" rid="F4"/>f red boxes): the North Pacific (NP: 30 to 50° N and 190  to 120° W), North Atlantic (NA: 30  to 50° N and 70  to 0° W), South Pacific (SP: 50  to 30° S and 170  to 90° W), South Atlantic (SA: 50  to 30° S and 55° W to 15° E), and South Indian Ocean (SI: 50  to 30° S and 30° E to 100° W). We recommend that the injected sea salt aerosols have approximate effective dry radii of 30   to 50 nm if possible, though this may vary depending on the activation parameterization and natural sea salt aerosol representation, as discussed in Sect. 2.2. The total mass of emissions are set to be equal in both hemispheres and at a constant emission rate throughout a given year. MCB is used to maintain GMSAT within <inline-formula><mml:math id="M73" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.2 °C of 1.5 °C above the preindustrial average by increasing emissions over time to cool global mean surface temperatures to this level. The experiment branches from the ML emissions scenario at model year 2035, and runs until model year 2150.</p>
      <p id="d2e2328">Figure <xref ref-type="fig" rid="F4"/> shows results from the G6-1.5K-MCB experiment conducted using four CMIP6-era ESMs. The global-mean surface temperature is maintained at the 2020–2039 levels of the SSP2-4.5 simulations (Fig. <xref ref-type="fig" rid="F4"/>c), by injecting sea-salt aerosols in the five midlatitude regions shown in Fig. <xref ref-type="fig" rid="F4"/>f. The mass required to maintain temperatures at 2020–2039 levels differs substantially between models (Fig. <xref ref-type="fig" rid="F4"/>a), but much of that difference is due to discrepancies in the size of the emitted sea-salt aerosol such that the number emission rate differs less between models (Fig. <xref ref-type="fig" rid="F4"/>b). While the warming pattern from SSP2-4.5 (Fig. <xref ref-type="fig" rid="F4"/>e) is largely offset by the cooling pattern from MCB (Fig. <xref ref-type="fig" rid="F4"/>g), some residual differences remain (Fig. <xref ref-type="fig" rid="F4"/>f) with overcooling over the oceans and residual Arctic warming. Models differ on the interhemispheric temperature asymmetry under both SSP2-4.5 and G6-1.5K-MCB (Fig. <xref ref-type="fig" rid="F4"/>d).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2352">Results of G6-1.5K-MCB simulations in four ESMs (E3SMv2.0, CESM2.1, UKESM1.0, and MIROC-ES2H). Top row shows the sea salt mass flux <bold>(a)</bold> and number flux <bold>(b)</bold> required in each model to maintain the 1.5K GMSAT target. Middle row shows the <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> and <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold> time series for the SSP2-4.5 reference simulations (red shades) and G6-1.5K-MCB simulations (blue shades). Bottom row shows the spatial pattern of annual mean reference height (2 m) temperature anomalies averaged across the models for SSP2-4.5 <bold>(e)</bold>, G6-1.5K-MCB <bold>(f)</bold>, and the difference between the two <bold>(g)</bold> (the MCB effect). Hatching indicates grid points where at least one model disagrees on the sign of the response.</p></caption>
          <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f04.png"/>

        </fig>

<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>Why hemispherically mass-balanced injections?</title>
      <p id="d2e2413">Similar to G7-1.5K-SAI, the MCB equivalent is designed as a one degree-of-freedom strategy that strikes a balance between achieving a climate response that reasonably offsets the greenhouse gas warming effect and remaining simple enough to be implemented by a range of state-of-the-art ESMs <xref ref-type="bibr" rid="bib1.bibx48" id="paren.89"/>. Exploratory analysis in three CMIP6 ESMs <xref ref-type="bibr" rid="bib1.bibx49" id="paren.90"/> found that emitting sea salt aerosol into five mid-latitude regions (NP, NA, SP, SA, SI) resulted in temperature and precipitation response patterns that were more spatially uniform, and thus more closely matched the GHG signal, than previously explored MCB strategies that focused on emissions in lower latitude regions <xref ref-type="bibr" rid="bib1.bibx104 bib1.bibx42 bib1.bibx91 bib1.bibx67" id="paren.91"/>. Specifically, shifting emission to higher latitudes reduces the tropical overcooling signal associated with 30° S to 30° N emissions used in previous GeoMIP simulations <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx104" id="paren.92"/> and the La Niña-like cooling signal characteristic of protocols that focused on the tropical Pacific <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx90 bib1.bibx42 bib1.bibx91 bib1.bibx83 bib1.bibx67" id="paren.93"/>. Following from this, we further define the emission rates in each region such that the areal-sum emissions are <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>th of the total emissions in each of the two Northern Hemisphere regions (NA and NP) and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>th of the total emissions in each of the three Southern Hemisphere regions (SP, SA, and SI) to minimize shifts in ITCZ by distributing the perturbation evenly across the hemispheres.</p>
      <p id="d2e2456">While hemisphere-symmetric midlatitude MCB emission simulations demonstrate substantial improvements over past protocols, it is unlikely to be an optimal distribution for returning climate to early-21st century conditions (Fig. <xref ref-type="fig" rid="F2"/>d, f). Considering the distinct response patterns for MCB in different regions <xref ref-type="bibr" rid="bib1.bibx49" id="paren.94"/>, further optimization is feasible <xref ref-type="bibr" rid="bib1.bibx77" id="paren.95"/>. However, the optimal MCB emission distribution will differ across models due to differences in aerosol-cloud interactions (giving rise to different regional forcing strengths) and atmosphere-ocean circulation and climate feedbacks (giving rise to different patterns of climate response under global warming and under MCB).  For G6-1.5K-MCB, UKESM1.1 and MIROC-ES2H show Arctic under-cooling, which indicates MCB in an additional region at polar latitudes may be required in these models <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx45" id="paren.96"/>. CESM2 shows NH cooling relative to the SH while E3SMv2 shows NH warming relative to the SH, which suggests additional MCB should be applied in the Southern hemisphere in CESM2 and in the NH in E3SMv2. Furthermore, CESM2 simulations that balanced the sea salt mass emissions to produce equal forcing in each hemisphere produced excessive NH cooling and southward shifts in the ITCZ <xref ref-type="bibr" rid="bib1.bibx48" id="paren.97"/>. These variations across models demonstrate that there is not a single emission distribution that would maintain the hemispheric asymmetry consistently across all models and that forcing is not necessarily a good predictor of hemispheric temperature response due to differences in radiative feedbacks and circulation response. Thus, to maintain simplicity in model configuration and to ease the interpretation of inter-model differences, we select mid-latitude MCB with mass emissions distributed evenly between the NH and SH as the basis of a 1-DOF design as a first-order attempt to reduce inter-hemispheric asymmetries.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>Simulations set-up</title>
      <p id="d2e2481">The Inj-seasalt-midlat experiment described in Table <xref ref-type="table" rid="T1"/> and Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/> is designed to determine a given model's sensitivity to mid-latitude MCB, which can be used to set up G7-1.5K-MCB. With this sensitivity known, the sea salt aerosol injection rates can be chosen to maintain the GMSAT target. This can be done by adjusting emissions manually over the simulation period (“guess-and-check”) or by using a feedback controller algorithm. Inj-seasalt-midlat provides information on the magnitude and time scale of the cooling response to mid-latitude MCB at a given emission rate, which are the two key pieces of information for computing the parameters of a 1-DOF feedback controller (see Appendix A of <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.98"/>). The time scale of climate response to MCB tends to be longer than the response to SAI, thus the feedback gains required for a G7-1.5K-MCB controller may differ from those used in a G7-1.5K-SAI controller.  The MCB forcing is inherently non-linear, due to the sub-linear behaviour of aerosol activation <xref ref-type="bibr" rid="bib1.bibx91" id="paren.99"/>. This makes it challenging to estimate a full MCB emission time series prior to running a scenario simulation (also known as a “feedforward” estimate), because the model sensitivity derived from Inj-seasalt-midlat will be an underestimate early on in the simulation, when emissions are still low, and an overestimate late in the simulation, when clouds become saturated with aerosol. We also note that anthropogenic aerosol emissions are projected to decrease in future scenarios which would make clouds more susceptible to brightening by MCB <xref ref-type="bibr" rid="bib1.bibx106" id="paren.100"/>, but this has not been quantified in ESMs. Feedback controllers can partially account for such nonlinearities, as they can adjust emissions in response to these deviations.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS3">
  <label>3.4.3</label><title>Alternate Cloud Droplet Number Concentration set-up</title>
      <p id="d2e2505">While we expect that most CMIP7 generation ESMs will be capable of increasing accumulation mode sea salt aerosol, some may have limitations that prevent adequate representation of G7-1.5K-MCB with sea salt aerosol emissions. For such models, it may be more practical to directly perturb the cloud droplet number concentration (CDNC) in the five midlatitude MCB regions (see <xref ref-type="bibr" rid="bib1.bibx48" id="text.101"/> Sect. 2.4 for simulation descriptions). CDNC perturbations have been used in several past MCB simulation protocols <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx58 bib1.bibx46 bib1.bibx17 bib1.bibx67" id="paren.102"/> and we expect that sea salt aerosol injection and CDNC perturbation simulations will produce similar climate responses, if they are calibrated to produce the same radiative forcing <xref ref-type="bibr" rid="bib1.bibx91" id="paren.103"/>. Nevertheless, this method is idealized and neglects key processes like aerosol activation, aerosol transport, and aerosol direct forcing, potentially underestimating the inter-model uncertainty. Thus, we recommend using sea salt aerosol emissions when possible.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Tier 2 experiments</title>
      <p id="d2e2527">Over time, different modeling groups have devised their own specific SRM experiments, either selecting different scenarios and targets, or proposing new methods or deployment strategies, based on different interests and needs; it is neither possible nor advisable to claim each one of them should be an official GeoMIP experiment. However, it was suggested during the last few GeoMIP meetings to have a central space to collect ideas and identify other groups interested. Therefore, in this section we collect a series of lower priority experiments that can be run in order to enrich the analyses from the Tier 1 experiments. Considering the potential infinite space of experiments, it will be important for modeling teams and research groups to communicate promptly about what experiments they are running so that an up-to-date registry of ongoing Tier 2 experiments can be kept on the GeoMIP website, similarly to what was proposed in <xref ref-type="bibr" rid="bib1.bibx59" id="text.104"/> for test-bed experiments. This may be useful, for example, to generate spin off working groups focused on mechanistic investigation to further inform interpretation of Tier 1 simulations. In general Tier 2 simulations can be categorized as scenario exploration, SRM strategy exploration, and process level understanding, and will be discussed in turn below.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Tier 2 experiments exploring different scenarios</title>
      <p id="d2e2540">This set of experiments is meant to extend exploration of scenarios through the inclusion of different amounts of cooling (G7-0.5K-SAI), a different underlying scenario (G7-1.5K-SAI-LN), or the exploration of a delayed start (G7-1.5K-SAI-Late). These scenarios are shown in Fig. <xref ref-type="fig" rid="F5"/>. This set is not meant to be comprehensive, but rather to suggest the capacity to run further experiments with scenarios of interest.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2548">Scenario exploration Tier 2 experiments. GMSAT <inline-formula><mml:math id="M78" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Global Mean Surface Air Temperature; SAI <inline-formula><mml:math id="M79" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Stratospheric Aerosol Injection; ML <inline-formula><mml:math id="M80" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Medium-Low scenario <xref ref-type="bibr" rid="bib1.bibx116" id="paren.105"/>; LN <inline-formula><mml:math id="M81" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Low-to-Negative scenario. As we don't expect all modeling teams to perform these experiments, and they are not comprehensive nor prescriptive, no total amount of years of simulation is provided.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Description of intervention</oasis:entry>
         <oasis:entry colname="col3">Underlying emission</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">G7-1.5K-SAI-Late</oasis:entry>
         <oasis:entry colname="col2">Delay of the G7-1.5K-SAI scenario with a start in 2055</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2055–2100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-SAI-LN</oasis:entry>
         <oasis:entry colname="col2">Equal yearly injections of SO<sub>2</sub> at 30° N and 30° S</oasis:entry>
         <oasis:entry colname="col3">LN</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain GMSAT at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-0.5K-SAI</oasis:entry>
         <oasis:entry colname="col2">Equal yearly injections of SO<sub>2</sub> at 30° N and 30° S</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain GMSAT 1.0 °C colder than G7-1.5K-SAI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2718">Schematics of Tier 2 scenario exploration experiments for the SAI case, with the inclusion of main Tier 1 scenario (G7-1.5K-SAI) for comparison.</p></caption>
          <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f05.png"/>

        </fig>

      <p id="d2e2728">The importance of considering a larger range of scenarios, including both higher or lower cooling targets and the inclusion of changes in the deployment (i.e. interruptions, phase-outs) has been highlighted before <xref ref-type="bibr" rid="bib1.bibx75" id="paren.106"/>. While this space is potentially infinite, and highly dependent on the assumptions of the underlying emission scenario <xref ref-type="bibr" rid="bib1.bibx5" id="paren.107"/>, there is clearly merit in both considering different degrees of cooling <xref ref-type="bibr" rid="bib1.bibx127" id="paren.108"/>, as well as potential inconsistencies in deployment <xref ref-type="bibr" rid="bib1.bibx31" id="paren.109"/>, and the results of such broader set of simulations can also be included in emulators that already integrate GeoMIP data <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx81 bib1.bibx32" id="paren.110"/>. Here we provide some suggestions of how such an expanded exploration could look, leaving some choice to modeling groups with different interests to expand on this, as long as some coherence through the common simulation of Tier 1 experiments is maintained, as was done previously <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx8" id="paren.111"/>.</p>
      <p id="d2e2750"><list list-type="bullet">
            <list-item>

      <p id="d2e2755"><bold>G7-0.5K-SAI.</bold> a potential case cooling 1 K more than the G7-1.5K-SAI case, which would lead to a higher rate of deployment, and which could be compared against the 1.5 K to understand trade-offs between more cooling and other relevant surface climate impacts such as air quality impacts <xref ref-type="bibr" rid="bib1.bibx132" id="paren.112"/> and agricultural impacts <xref ref-type="bibr" rid="bib1.bibx18" id="paren.113"/>, as well as to investigate the efficacy of SRM strategies to reduce climate risk including risks associated with tipping elements against the backdrop of a greater masking of GHG induced warming. The larger injection needed to cool by that amount should be ramped up linearly over the first 10 years as done in the ARISE-SAI-1.0 case <xref ref-type="bibr" rid="bib1.bibx14" id="paren.114"/>.</p>
            </list-item>
            <list-item>

      <p id="d2e2772"><bold>G7-1.5K-SAI-LN.</bold> a potential case could explore having the same cooling target as G7-1.5K-SAI, but on a lower (LN) or higher (M) underlying emission scenario, to look at different impacts under different scenarios, as proposed in the test-bed experiments described in <xref ref-type="bibr" rid="bib1.bibx108" id="text.115"/> using the SSP5-3.4OS temporary overshoot experiment.</p>
            </list-item>
            <list-item>

      <p id="d2e2783"><bold>G7-1.5K-SAI-Late.</bold> some studies have recently explored the differential impacts of an SAI deployment depending on the starting date, highlighting differences in ocean heat uptake and stratospheric ozone changes due to different chlorine loads in the stratosphere <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx86" id="paren.116"/>. This type of experiment is further motivated by calls to understand the ability of SAI to reverse GHG driven changes to drivers of climate tipping in the cryosphere, biosphere, ocean and atmosphere, which include the deceleration of AMOC <xref ref-type="bibr" rid="bib1.bibx86" id="paren.117"/>, melting of glaciers and permafrost, and risk of amazon dieback, among others <xref ref-type="bibr" rid="bib1.bibx71" id="paren.118"/>. Delayed implementation studies may support greater understanding of what SAI can and cannot do as a function of the timing of deployment during this century. For a GeoMIP experiment, we propose a delay of 15 years compared to the start of G7-1.5K-SAI, and to run the experiment for at least 50 years.</p>
            </list-item>
          </list></p>
      <p id="d2e2799">This potential set of experiments, in a multi-model context, would be extremely useful when thinking about the broader context of emission trajectories, temporary temperature overshoot dynamics and climate stabilization more broadly <xref ref-type="bibr" rid="bib1.bibx84" id="paren.119"/>; the comparison of experiments with different underlying emission scenarios, and/or between different cooling targets, can shed light on how SRM would impact carbon cycle dynamics <xref ref-type="bibr" rid="bib1.bibx142" id="paren.120"/> (considering the emission-driven pathways in CMIP7 models <xref ref-type="bibr" rid="bib1.bibx79" id="paren.121"/>), and how it compares to net-zero and negative emission scenarios using Carbon Dioxide Removal (CDR) <xref ref-type="bibr" rid="bib1.bibx96" id="paren.122"/>; as well as feed into discussions of the reversibility or irreversibility of specific climatic changes, and of tipping elements dynamics in the context of SRM <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx143 bib1.bibx71" id="paren.123"/>, especially as it pertains to different degrees of warming, or timing, at which climate stabilization may occur <xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx86" id="paren.124"/>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Tier 2 experiments exploring different SRM strategies</title>
      <p id="d2e2829">Together with an exploration of different scenarios as discussed in the previous section, there is significant interest in coordinating simulations for other SRM strategies. These include variations on SAI and MCB to explore the influence of intervention location and material, as well as process-oriented inter-comparisons of other SRM proposals. Here, we outline several experiments based on previous and ongoing modeling work. This list is not comprehensive and we encourage groups to explore the scenario and strategy space.</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e2835">Strategies exploration Tier 2 experiments. GMSAT <inline-formula><mml:math id="M84" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Global Mean Surface Air Temperature; SAI <inline-formula><mml:math id="M85" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Stratospheric Aerosol Injection; DOF <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Degrees of Freedom; MCB <inline-formula><mml:math id="M87" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Marine Cloud Brightening; ML <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Medium-Low scenario <xref ref-type="bibr" rid="bib1.bibx116" id="paren.125"/>. As we do not expect all modeling teams to perform these experiments, and they are not comprehensive nor prescriptive, no cumulative sum for the years of simulation for all experiments is provided.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Description of intervention</oasis:entry>
         <oasis:entry colname="col3">Underlying emission</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-MCB-2DOF</oasis:entry>
         <oasis:entry colname="col2">Injections of sea salt aerosols in five midlatitude regions with different mass</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">across hemispheres to maintain GMSAT and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradient at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-SAI-3DOF</oasis:entry>
         <oasis:entry colname="col2">Yearly injections of SO<sub>2</sub> at 30° N, 15° N, 15° S and 30° S in different</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">amounts to maintain GMSAT, <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gradients at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-SAI-Solid</oasis:entry>
         <oasis:entry colname="col2">Yearly injections of solid particles (CaCO<sub>3</sub>, Al<sub>2</sub>O<sub>3</sub>)</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">at 30° N and 30° S to maintain GMSAT at 1.5 °C above PI</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(mass manually adjusted every decade)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G7-1.5K-Shade</oasis:entry>
         <oasis:entry colname="col2">A case of G7-1.5K performed through uniform reduction</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">of the solar constant at the top of the atmosphere</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inj-seasalt-polar</oasis:entry>
         <oasis:entry colname="col2">Injection of sea salt aerosol in ice-free ocean regions at</oasis:entry>
         <oasis:entry colname="col3">ML</oasis:entry>
         <oasis:entry colname="col4">2035–2085</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">60–80° S in austral summer (DJFM) and 60–80° N in boreal summer (JJAS)</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain polar (70–90° N/S) temperatures at their 2020–2039 levels</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3154">A non-comprehensive set of potential experiments is provided in Table <xref ref-type="table" rid="T4"/>, and might include:</p>
      <p id="d2e3160"><list list-type="bullet">
            <list-item>

      <p id="d2e3165"><bold>G7-1.5K-MCB-2DOF.</bold> Climate model analyses have pointed out the importance of minimizing inter-hemispheric temperature gradients, as single-hemisphere MCB perturbations can cause dramatic shifts in tropical precipitation <xref ref-type="bibr" rid="bib1.bibx29" id="paren.126"/>. Modeling groups may therefore consider an iteration on the G7-1.5K-MCB in which the areal-sum emission rate in each hemisphere is adjusted to manage two degrees of freedom (2DOF) – the GMSAT and the inter-hemispheric temperature gradient (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). This may require additional preparatory experiments in which MCB emissions are applied in each hemisphere independently for the reasons described at the end of Sect. 3.4.1. While a 3DOF case aligning with SAI may enable clearer inter-method comparison, more research would be required to determine how well the equator-to-pole gradient could be controlled through different MCB deployment patterns.</p>
            </list-item>
            <list-item>

      <p id="d2e3187"><bold>G7-1.5K-SAI-3DOF.</bold> Modeling groups interested in developing more comprehensive, targeted simulations of SAI by better understanding the design space of SAI in their model, should consider running a case of G7-1.5K-SAI trying to manage 3 degrees of freedom (DOFs), using the same protocol as ARISE-SAI <xref ref-type="bibr" rid="bib1.bibx94" id="paren.127"/>. This is a more complex injection protocol than G7-1.5K-SAI, but is designed to yield smaller regional temperature differentials relative to the target period. In this protocol, GMSAT, interhemispheric temperature gradient, and equator-to-pole temperature gradient <xref ref-type="bibr" rid="bib1.bibx94" id="paren.128"><named-content content-type="pre">referred to as <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively, by</named-content></xref> are simultaneously maintained at PI+1.5 °C (2020-2039) levels. This is accomplished with injections in independent amounts at 30° N, 15° N, 15° S, and 30° S, with injection rates chosen based on the various Inj-sulf preparatory experiments described in Sect. <xref ref-type="sec" rid="Ch1.S2"/>.</p>
            </list-item>
            <list-item>

      <p id="d2e3238"><bold>G7-1.5K-SAI-Solid.</bold> Stratospheric heating through the absorption of (mainly) terrestrial radiation by sulfate aerosols not only affects stratospheric climate, but also surface climate, as demonstrated in <xref ref-type="bibr" rid="bib1.bibx139 bib1.bibx98 bib1.bibx124" id="text.129"/>. To minimize stratospheric heating, several studies have proposed alternative, solid materials for stratospheric aerosol injections <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx118" id="paren.130"><named-content content-type="pre">e.g.,</named-content><named-content content-type="post">and references therein</named-content></xref>. In a single-model study <xref ref-type="bibr" rid="bib1.bibx102" id="text.131"/> have found calcite, alumina, and diamond nano-particles to alleviate absorptive heating, while the latter also results in a greater surface cooling efficiency, i.e. requiring smaller injection masses for a given temperature target. Ozone changes could also be reduced through the use of solid particles, although substantial uncertainties remain around the actual chemistry impacts of materials not usually found in the stratosphere <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx120" id="paren.132"/>. To improve the robustness of solid aerosol injection modeling, some modelers perform activities within SolidMIP, an active community under the GeoMIP umbrella, focused on the intercomparison of model development work around solid particle SAI and uncertainties in physico-chemical and optical properties of various alternative materials. Within SolidMIP some modeling centers are working towards a case of G7-1.5K-SAI using solid particles instead of sulfate precursors, to lay the groundwork for a future coordinated multi-model approach involving more groups. G7-1.5K-SAI-Solid will consist of two simulations in addition to G7-1.5K-SAI, one for each proposed solid material: calcite (CaCO<sub>3</sub>) and alumina (Al<sub>2</sub>O<sub>3</sub>). Even though <xref ref-type="bibr" rid="bib1.bibx102" id="text.133"/> also considered diamond (C(diam)) nanoparticles, which showed the best cooling efficiency and least side-effects, we omit it here because of the recent findings showing that actual industrial diamonds have hybridized impurities substantially deteriorating its optical properties <xref ref-type="bibr" rid="bib1.bibx62" id="paren.134"/>. Simulations with the remaining two solid aerosol particle types will be performed in one or more models with full microphysical and radiative treatment of the stratospheric solid aerosol. The injection amount in these preparatory simulations will be manually adjusted to maintain the 1.5 K temperature target, with models' response provided in similar experiments as those proposed in Sect. <xref ref-type="sec" rid="Ch1.S2"/> for the Inj-Sulf-30N/S cases but using fixed amounts of solid particles. The resulting forcing from G7-1.5K-SAI-Solid will then be provided to the community and can be tailored to each individual model as required using the forward Mie calculation part of REMAPv1 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.135"/>. The introduction of the same forcing into different models will provide a range of temperature responses both at the surface and in the atmosphere that can be analysed as a first step. While extremely important to capture the whole balance of potential impacts from solid particles injections, detailed chemical effects will not be included in this first set of simulations for simplicity, and due to the larger uncertainties for those materials <xref ref-type="bibr" rid="bib1.bibx120" id="paren.136"/>.</p>
            </list-item>
            <list-item>

      <p id="d2e3305"><bold>Inj-seasalt-polar.</bold> <xref ref-type="bibr" rid="bib1.bibx45" id="text.137"/> performed Arctic MCB cooling simulations with sea salt emissions between 60 and 80° N where there is no land or sea ice in a sub-set of models used for G6-1.5K-MCB <xref ref-type="bibr" rid="bib1.bibx48" id="paren.138"/>. Arctic MCB successfully maintained Arctic mean temperatures and the models suggested there were few significant lower-latitude precipitation impacts, in contrast to single-hemisphere high latitude SAI <xref ref-type="bibr" rid="bib1.bibx66" id="paren.139"/>. In one model (UKESM1), it was found that there is an upper limit on the possible cooling in the Arctic by MCB <xref ref-type="bibr" rid="bib1.bibx45" id="paren.140"/>, suggesting a larger inter-model comparison of sensitivity experiments is warranted. We suggest an idealized polar MCB case with sea salt aerosol emissions in ice-free ocean regions between 60 and 80° in both hemispheres during the summer months when insolation is the highest (JJAS in the NH and DJFM in the SH) with step emissions following the preparatory experiment protocols in Table <xref ref-type="table" rid="T1"/>.</p>
            </list-item>
            <list-item>

      <p id="d2e3327"><bold>G7-1.5K-Shade.</bold> Modeling groups interested in diagnosing and separating the aerosols-driven changes on surface climate should consider running an experiment similar to G6solar, in which the same temperature target is achieved through a uniform reduction of incoming solar radiation at the top of the model. This has proven beneficial in highlighting aerosols-driven uncertainties <xref ref-type="bibr" rid="bib1.bibx125" id="paren.141"/>. Furthermore, these simulations would prove beneficial in understanding the impacts of potential space sunshades <xref ref-type="bibr" rid="bib1.bibx37" id="paren.142"/>.</p>
            </list-item>
            <list-item>

      <p id="d2e3342"><bold>Combination and contrast of SRM methods and other techniques.</bold> There is increasing discussion and opportunity to think of experiments that include a potential “cocktail” of different SRM techniques <xref ref-type="bibr" rid="bib1.bibx16" id="paren.143"/>, such as for MCB combined with SAI. Future work could explore and define a protocol for such experiments, which we do not yet propose here currently. Similarly, there should be the opportunity to explore the combination of some SRM techniques with other climate intervention proposals that fall more within the realm of changes in atmospheric composition, such as CO<sub>2</sub> removal <xref ref-type="bibr" rid="bib1.bibx19" id="paren.144"/> or methane removal <xref ref-type="bibr" rid="bib1.bibx72" id="paren.145"/>, or localized albedo modification techniques <xref ref-type="bibr" rid="bib1.bibx80" id="paren.146"/>, in order to understand potential synergies as well as unforeseen negative interactions between them. Simulations that achieve the same temperature target as G7-1.5K with carbon or methane removal alone can also be useful to understand differences in the surface climate responses across intervention types <xref ref-type="bibr" rid="bib1.bibx64" id="paren.147"/>.</p>
            </list-item>
          </list></p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Mixed-Phase Cloud Thinning experiments</title>
      <p id="d2e3382">Besides the combination of SAI and MCB discussed in the previous section, another promising approach to polar climate intervention is Mixed-Phase Cloud Thinning (MCT). MCT is a proposed radiation modification method that exploits the thermodynamic instability of mixed-phase clouds – clouds containing supercooled liquid droplets coexisting with ice crystals at temperatures between approximately 0 and <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">39</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>C. By seeding these clouds with ice-nucleating particles (INPs), liquid droplets are converted to ice via heterogeneous freezing, triggering the Wegener-Bergeron-Findeisen (WBF) process that further depletes liquid water <xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx122" id="paren.148"/>. The resulting glaciated cloud has a lower optical depth and shorter lifetime, reducing its longwave cloud radiative effect; over the polar oceans in winter, where mixed-phase clouds exert a net longwave warming that dominates over shortwave cooling, MCT thus produces a net surface cooling <xref ref-type="bibr" rid="bib1.bibx121" id="paren.149"/>. Despite growing interest in MCT as a polar climate intervention, no coordinated multi-model protocol had previously been proposed; here we report initial findings from a first multi-model intercomparison effort – MCT-MIP Level 0 – and outline a CMIP7-aligned Level 1 protocol (MCT-L1). Information about the required data output for these simulations is provided in Sect. <xref ref-type="sec" rid="Ch1.S5.SSx1"/>.</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e3410">MCT-L1 Tier 2 experiments. MCT <inline-formula><mml:math id="M105" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Mixed-phase Cloud Thinning; INP <inline-formula><mml:math id="M106" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Ice-Nucleating Particles; SST <inline-formula><mml:math id="M107" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Sea-Surface Temperature. Both configurations are atmosphere-only and perturb the INP concentration used for heterogeneous freezing (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS3"/> for the full protocol and Table <xref ref-type="table" rid="T7"/> for the detailed simulation matrix).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Description of intervention</oasis:entry>
         <oasis:entry colname="col3">Underlying emission</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">MCT-L1-Background</oasis:entry>
         <oasis:entry colname="col2">Scale down the control background INP</oasis:entry>
         <oasis:entry colname="col3">fixed SST</oasis:entry>
         <oasis:entry colname="col4">min 10 years</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MCT-L1-Seeding</oasis:entry>
         <oasis:entry colname="col2">Spatially uniform addition to the background INP</oasis:entry>
         <oasis:entry colname="col3">fixed SST</oasis:entry>
         <oasis:entry colname="col4">min 10 years</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Level 0: Initial multi-model results</title>
      <p id="d2e3522">The Level 0 protocol was designed to be broadly implementable: atmosphere-only simulations with prescribed, fixed sea-surface temperatures and sea-ice fractions. Perturbations were done over the polar ocean domain (including sea-ice) poleward of 60° N and 60° S. This corresponds to spatially uniform, winter-only (November, December, January, and February) additions to the dust cloud-borne concentration that is used as input for calculating droplet freezing, alongside an unperturbed control. The perturbation strength was <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup>. Because only the inputs to the droplet-freezing calculations were perturbed, this can be interpreted as a “transparent” aerosol perturbation, decoupled from any side effects associated with direct radiative effects. Simulations used present-day (year 2000; repeating if possible) boundary conditions and ran for a minimum of 5 years (2 years for nudged models), with a 1-year spin-up discarded for free-running integrations. Four models participated (Table <xref ref-type="table" rid="T6"/>): ECHAM-HAM, ICON-HAM, CESM2, and E3SMv3.</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e3575">Models participating in MCT-MIP Level 0, with their atmospheric grid and run configuration. MLO: Mixed-Layer Ocean. N12: <xref ref-type="bibr" rid="bib1.bibx82" id="text.150"/>; L06: <xref ref-type="bibr" rid="bib1.bibx73" id="text.151"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ECHAM-HAM</oasis:entry>
         <oasis:entry colname="col3">ICON-HAM</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Resolution</oasis:entry>
         <oasis:entry colname="col2">T63 (<inline-formula><mml:math id="M112" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.875°), <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">96</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">192</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">R2B4 (<inline-formula><mml:math id="M114" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 160 km), 20 480 cells</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vertical levels</oasis:entry>
         <oasis:entry colname="col2">31</oasis:entry>
         <oasis:entry colname="col3">47</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Grid type</oasis:entry>
         <oasis:entry colname="col2">Gaussian</oasis:entry>
         <oasis:entry colname="col3">Icosahedral</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Microphysics</oasis:entry>
         <oasis:entry colname="col2">P3, N12</oasis:entry>
         <oasis:entry colname="col3">2-mom., N12 &amp; L06</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Run length</oasis:entry>
         <oasis:entry colname="col2">25 years (MLO) &amp; 2 years (nudged)</oasis:entry>
         <oasis:entry colname="col3">5 years (nudged)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CESM2</oasis:entry>
         <oasis:entry colname="col3">E3SM v3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Resolution</oasis:entry>
         <oasis:entry colname="col2">0.9°, <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mn mathvariant="normal">192</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">288</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">Ne30 (<inline-formula><mml:math id="M116" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1°), 21 600 cols</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Vertical levels</oasis:entry>
         <oasis:entry colname="col2">32</oasis:entry>
         <oasis:entry colname="col3">80</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Grid type</oasis:entry>
         <oasis:entry colname="col2">Regular lat-lon</oasis:entry>
         <oasis:entry colname="col3">Cubed-sphere</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Microphysics</oasis:entry>
         <oasis:entry colname="col2">2-mom., <xref ref-type="bibr" rid="bib1.bibx131" id="text.152"/></oasis:entry>
         <oasis:entry colname="col3">P3, <xref ref-type="bibr" rid="bib1.bibx131" id="text.153"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Run length</oasis:entry>
         <oasis:entry colname="col2">5 years</oasis:entry>
         <oasis:entry colname="col3">5 years</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3791">The spatial distribution of the cloud radiative effect (CRE) response during the November–February season (NDJF) is shown in Fig. <xref ref-type="fig" rid="F6"/> for all four models at the mid INP level (<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup>). Three of the four models produce a net cooling with increasing INP concentration, consistent with the expected MCT mechanism; E3SMv3 is an outlier, showing a warming response.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3822">Spatial maps of the net cloud radiative effect perturbation (<inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CRE, W m<sup>−2</sup>) during NDJF for the mid INP level (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> cm<sup>−3</sup>) relative to the control simulation, for all four MCT-MIP Level 0 models. Numbers inset in each panel give the area-weighted mean <inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CRE over 30–90° N, 60–90° N, and the outlined target region (60–90° N, 30° W–90° E, i.e. the North Atlantic–European sector). Blue shading indicates cooling; red shading indicates warming. ECHAM-HAM, CESM2, and ICON-HAM all produce a net negative <inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>CRE poleward of 60° N, consistent with the MCT mechanism, while E3SMv3 shows a widespread warming response driven by a base state dominated by very low liquid water content.</p></caption>
            <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f06.png"/>

          </fig>

      <p id="d2e3888">The Arctic-mean (60–90° N) NDJF responses of CRE, ice water path (IWP), liquid water path (LWP), and total water path (TWP; from the Cloud_cci v3 product, <xref ref-type="bibr" rid="bib1.bibx103" id="altparen.154"/>) as a function of INP concentration are shown in Fig. <xref ref-type="fig" rid="FA2"/>. CESM2 and ICON-HAM show a clear reduction in LWP with increasing INP concentration, consistent with the MCT mechanism, while E3SMv3 maintains very low LWP across all perturbation levels. Note that the ECHAM-HAM (MLO) configuration is shown for reference only; this idealized perturbation <xref ref-type="bibr" rid="bib1.bibx121" id="paren.155"/> was designed to maximize the droplet freezing rate (1 % of droplets freeze per hour) and is not directly comparable to the dust-based INP seeding protocol used by the other simulations.</p>
      <p id="d2e3899">Investigation of the E3SMv3 case reveals a base state in which cloud ice strongly dominates over liquid (Fig. <xref ref-type="fig" rid="FA2"/>b–c), suggesting that clouds in the perturbed domain are already in a saturated-ice regime where the WBF process cannot operate effectively and additional INPs likely suppress the WBF process even further, by decreasing the size of ice particles and slowing down riming and sedimentation. This result underlines the importance of constraining the mixed-phase cloud liquid/ice partition against observations in future intercomparisons.</p>
      <p id="d2e3904">The sensitivity of the cooling to INP concentration also varies substantially across the three responding models, and the lowest perturbation level (<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup>) already produces a strong response in total water path (Fig. <xref ref-type="fig" rid="FA2"/>c), motivating the extension to lower concentrations in the next Level 1 intercomparison.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <label>4.3.2</label><title>Level 1 protocol: First MCT contribution to GeoMIP</title>
      <p id="d2e3941">As in Level 0, MCT-L1 simulations are atmosphere-only with prescribed present-day SSTs and sea-ice fractions, with the INP perturbation implemented as a transparent addition to background dust (modifying only freezing rates, without a new tracer). The perturbation range is revised to <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup> to better characterize the onset of the MCT response at low concentrations. In addition, participating models are encouraged to run a complementary batch in which the background INP concentration from the control is multiplied by <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, probing the sensitivity to a lower INP mean-state concentration. It is expected that such experiments can help clarify how the INP mean-state of models affects their MCT response.</p>

<table-wrap id="T7" specific-use="star"><label>Table 7</label><caption><p id="d2e4035">MCT-L1 simulation matrix (7 simulations total). MCT-L1-Seeding perturbations add a spatially uniform INP concentration to the background dust; MCT-L1-Background perturbations scale the control background by the given factor.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Group</oasis:entry>

         <oasis:entry colname="col2">Simulation</oasis:entry>

         <oasis:entry colname="col3">INP perturbation</oasis:entry>

         <oasis:entry colname="col4">Type</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Control</oasis:entry>

         <oasis:entry colname="col2">CTRL</oasis:entry>

         <oasis:entry colname="col3">none</oasis:entry>

         <oasis:entry colname="col4">–</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">MCT-L1-Background</oasis:entry>

         <oasis:entry colname="col2">INP_low_back</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">multiplicative</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">INP_mid_back</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">multiplicative</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">INP_high_back</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">multiplicative</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="2">MCT-L1-Seeding</oasis:entry>

         <oasis:entry colname="col2">INP_low_seed</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">additive</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">INP_mid_seed</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">additive</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">INP_high_seed</oasis:entry>

         <oasis:entry colname="col3">CTRL <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> L<sup>−1</sup></oasis:entry>

         <oasis:entry colname="col4">additive</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4326">The full set of 7 simulations (1 CTRL <inline-formula><mml:math id="M146" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 3 MCT-L1-Seeding <inline-formula><mml:math id="M147" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 3 MCT-L1-Background) is designed to map the complete range of mixed-phase cloud responses to INP forcing and to reveal base-state biases of the kind identified in Level 0.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS3">
  <label>4.3.3</label><title>Nudging</title>
      <p id="d2e4351">Wind-only nudging to ERA5 reanalysis is strongly encouraged to suppress internal variability and enable meaningful multi-model comparison; free-running simulations with a minimum of 10 years are an acceptable alternative.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Process understanding Tier 2 experiments</title>
      <p id="d2e4364">This set of experiments is more targeted towards “idealized” scenarios and, like the preparatory experiments, is more targeted towards better understanding of the outcomes of the Tier 1 and some Tier 2 experiments.</p>

<table-wrap id="T8" specific-use="star"><label>Table 8</label><caption><p id="d2e4370">Process understanding Tier 2 experiments. GMSAT <inline-formula><mml:math id="M148" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Global Mean Surface Air Temperature; SAI <inline-formula><mml:math id="M149" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Stratospheric Aerosol Injection; DOF <inline-formula><mml:math id="M150" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Degrees of Freedom. As we do not expect all modeling teams to perform these experiments, and they are not comprehensive nor prescriptive, no total for the years of simulation is provided.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Experiment name</oasis:entry>
         <oasis:entry colname="col2">Description of intervention</oasis:entry>
         <oasis:entry colname="col3">Underlying emission</oasis:entry>
         <oasis:entry colname="col4">Period</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">scenario</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">G2-SAI-1DOF</oasis:entry>
         <oasis:entry colname="col2">Equal yearly injections of SO<sub>2</sub> at 30° N and 30° S</oasis:entry>
         <oasis:entry colname="col3">1%CO<sub>2</sub></oasis:entry>
         <oasis:entry colname="col4">0–150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain GMSAT at PI level</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">G2-SAI-3DOF</oasis:entry>
         <oasis:entry colname="col2">Yearly injections of SO<sub>2</sub> at different latitudes</oasis:entry>
         <oasis:entry colname="col3">1%CO<sub>2</sub></oasis:entry>
         <oasis:entry colname="col4">0–150</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">to maintain 3 temperature targets using feedback controller</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SAI-SolidMIP-Timeslice</oasis:entry>
         <oasis:entry colname="col2">Yearly injection of 5 Tg mass of various solid materials</oasis:entry>
         <oasis:entry colname="col3">fixed climate</oasis:entry>
         <oasis:entry colname="col4">0–30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">at 30° N and 30° S</oasis:entry>
         <oasis:entry colname="col3">(near-present)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4558"><list list-type="bullet">
            <list-item>

      <p id="d2e4563"><bold>G2 simulations.</bold> The G2 experiment was proposed by the original paper introducing GeoMIP <xref ref-type="bibr" rid="bib1.bibx57" id="paren.156"/>. In the G2 experiment, solar dimming was used to offset forcing from annual 1 % increases in CO<sub>2</sub> concentrations (“1%CO<sub>2</sub> forcing”) against a pre-industrial control (PIcontrol) background. Future warming scenarios include not only GHG forcing, but also evolving aerosol emissions and land use; modeling SRM against a PI control background allows for an evaluation of the impacts of SRM in the absence of these changes. Additionally, beginning SRM at the same time as GHG forcing begins means there is no long-term drift in the background climate state at the start of the experiment.</p>

      <p id="d2e4589"><xref ref-type="bibr" rid="bib1.bibx69" id="text.157"/> revisited the G2 experiment by modeling contemporary SAI strategies against PI control <inline-formula><mml:math id="M157" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 1%CO<sub>2</sub> forcing for 150 years, with injection beginning the same year as 1%CO<sub>2</sub> forcing begins. They simulated two different strategies: the 1-DOF strategy used in G6-SAI (hemispherically symmetrical injection at 30° to manage global mean temperature) and the 3-DOF strategy used in ARISE-SAI-1.5 (independent injections at 30° N, 15° N, 15° S, and 30° S to manage global mean temperature and the interhemispheric and equator-to-pole temperature gradients simultaneously). Modeling groups interested in understanding the long-term impacts of SAI, and in the importance of background scenario on SAI impacts, should consider running similar experiments.</p>
            </list-item>
            <list-item>

      <p id="d2e4622"><bold>SAI-SolidMIP-Timeslice simulations.</bold> In addition to the G7-1.5K-SAI-Solid experiment, there is another, time-slice, experiment with solid particles for SAI that is being developed by some in the community, currently consisting of two models (SOCOL-AERv2, <xref ref-type="bibr" rid="bib1.bibx119" id="altparen.158"/> and WACCM6-CARMA, <xref ref-type="bibr" rid="bib1.bibx112" id="altparen.159"/>) with sectional aerosol treatment. While some activities are coordinated with GeoMIP Tier 1 experiments earlier described in this paper, the SAI-SolidMIP-Timeslice experiment follows its own protocol to focus on process understanding in an idealized setting. The experiment design is similar to the <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> protocols described in <xref ref-type="bibr" rid="bib1.bibx134" id="text.160"/>, based on the atmospheric state fixed to 2040 (this includes all standard forcing such as, GHG, ozone depleting substances levels, tropospheric aerosols, etc.) and the ocean is prescribed with decadal (2020–2029) climatologies of SST and sea ice cover. This climatically stable setting is then used to test various materials under symmetrical 30° N and 30° S single-point constant injections of 5 Tg of material per year. Such a configuration allows intercomparing microphysical and transport processes of solid particles and testing their further upgrades such as new measurements of refractive indices and surface chemistry. Optical properties resulting from these experiments will be then provided to the rest of the SAI community to have a closer look at the uncertainties of the responses in stratospheric dynamics, stratospheric water vapor and stratosphere-troposphere coupling. Chemical effects will be omitted in this first step of involving a wider community, due to the large uncertainties and ongoing laboratory activities associated with chemical reactions on alternative materials.</p>
            </list-item>
          </list></p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data request and opportunities</title>
      <p id="d2e4671">Modeling centers performing GeoMIP simulations should pay close attention to the various data request efforts spearheaded under CMIP7 <xref ref-type="bibr" rid="bib1.bibx55" id="paren.161"/>. In particular, the data request efforts for the Atmosphere <xref ref-type="bibr" rid="bib1.bibx21" id="paren.162"/>, Earth System <xref ref-type="bibr" rid="bib1.bibx78" id="paren.163"/> and Ocean and Sea Ice <xref ref-type="bibr" rid="bib1.bibx35" id="paren.164"/> could be particularly important. Furthermore, opportunities to include variables needed by the Inter-Sectoral Impact Model Intercomparison Project (ISIMIP3a) <xref ref-type="bibr" rid="bib1.bibx36" id="paren.165"/> should also be considered.</p>
      <p id="d2e4689">Simulation of MCB depends on a series of aerosol and cloud processes that must be parameterized in ESMs. Understanding how different processes contribute to inter-model variation in MCB forcing is crucial for constraining the potential cooling from MCB and developing models that can more credibly represent MCB interventions. Variables from the “Diagnosing Radiative Forcing” and “Understanding the role of atmospheric composition for air quality and climate change” opportunities from <xref ref-type="bibr" rid="bib1.bibx21" id="text.166"/> highlight key variables relevant for diagnosing MCB aerosol and cloud responses, which also present notable overlap with required output for DAMIP <xref ref-type="bibr" rid="bib1.bibx39" id="paren.167"/> and AerChemMIP2 <xref ref-type="bibr" rid="bib1.bibx34" id="paren.168"/>. Additionally, cloud condensation nuclei concentrations and subgrid vertical velocity used in prognostic aerosol activation schemes can enable clearer comparisons of cloud droplet activation rates across models, especially for Inj-seasalt-midlat-SST.</p>
      <p id="d2e4701">High-frequency surface output could be considered in order to investigate the potential for SRM to interact with energy systems <xref ref-type="bibr" rid="bib1.bibx63" id="paren.169"/>, as done in <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx6" id="text.170"/>: this would require 3 or 6 hourly surface winds and incoming solar radiation, as well as temperature and other meteorological variables such as sea level pressure and humidity that could also be used to diagnose cyclonic activity under SRM <xref ref-type="bibr" rid="bib1.bibx38" id="paren.171"/>. Acknowledging the high burden of providing such data (on both the storage and the analyses side), modeling centers could provide it only for specific time slices (such as the first 10 and last 10 years of simulations for a specific case). In terms of radiation fluxes, we strongly recommend the inclusion of downwelling diffuse shortwave radiation (rsdsdiff). Although sometimes omitted in standard data requests, this variable is essential to accurately assess both crop photosynthesis efficiency and solar power generation under aerosol-altered atmospheric conditions. Providing these variables will greatly enhance the ability of the cross-sectoral impacts community to evaluate the consequences arising from the GeoMIP7 experiments.</p>
      <p id="d2e4713">Another area with growing interests within the SRM research community that could also leverage high-frequency output is related to analysing extreme events <xref ref-type="bibr" rid="bib1.bibx115" id="paren.172"/>; this can be better done by using ESM data as boundary conditions for downscaling efforts using Regional Climate Models (RCM) to get better regional information <xref ref-type="bibr" rid="bib1.bibx133 bib1.bibx107" id="paren.173"/>, or using ESM output as a driver for impacts models <xref ref-type="bibr" rid="bib1.bibx133" id="paren.174"/>. In the case of dynamical downscaling, the models require vertically resolved, sub-daily information, which can be burdensome to save, standardize, and transfer. Nevertheless, the community is clearly at a point where it is ready to engage with these issues, necessitating an explicit request for daily and sub-daily data.  To hopefully ease the burden on modeling and analysis groups, we have created a prioritized list of variables that we would like models to save with these temporal frequencies, if they are interested in having their models contributing to dynamical downscaling efforts. A list of the high-frequency output that is needed for these kind of assessments is presented in Table <xref ref-type="table" rid="T9"/>.</p>
      <p id="d2e4728">Lastly, while much of the climate modeling focus has been directed toward surface and tropospheric impacts, critical gaps remain in understanding the effects of SRM on the stratosphere itself <xref ref-type="bibr" rid="bib1.bibx109 bib1.bibx10" id="paren.175"/>. Future analyses within GeoMIP7 should continue addressing how stratospheric aerosols may alter large-scale atmospheric architecture, including regarding changes in stratospheric circulation, tropopause height and the modulation of stratospheric contraction <xref ref-type="bibr" rid="bib1.bibx87" id="paren.176"/>. Addressing many of these structural changes requires robust stratospheric representation; thus, we encourage the community to rely on high-top models capable of capturing such changes for SAI simulations.</p>

<table-wrap id="T9" specific-use="star"><label>Table 9</label><caption><p id="d2e4740">List of high-frequency output that would be required to drive RCMs under SAI scenarios. Between brackets is the CMIP standard variable name ID, when available. n/a – not applicable</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Variable Name</oasis:entry>
         <oasis:entry colname="col2">Temporal</oasis:entry>
         <oasis:entry colname="col3">Vertically</oasis:entry>
         <oasis:entry colname="col4">Purpose</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Frequency</oasis:entry>
         <oasis:entry colname="col3">Resolved?</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal Wind (ua, va)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">Yes</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface Wind Speed (sfcWind)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temperature (ta)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">Yes</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface (skin) Temperature (ts)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2m temperature (tas)</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Extreme events analysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Daily maximum near-surface temperature (tasmax)</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Extreme events analysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Daily minimum near-surface temperature (tasmin)</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Extreme events analysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative humidity (hur)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">Yes</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sea level pressure (psl)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface pressure (ps)</oasis:entry>
         <oasis:entry colname="col2">6-hourly</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil liquid water</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Snow fraction</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Soil temperature (tsl)</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Water or lake temperature</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Boundary conditions for regional models</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface radiative fluxes (rsds, rsus, rlds, rlus, rsdscs, rldscs)</oasis:entry>
         <oasis:entry colname="col2">daily</oasis:entry>
         <oasis:entry colname="col3">n/a</oasis:entry>
         <oasis:entry colname="col4">Impacts modeling</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e5018">It will also be important for modeling centers to ensure their documentation for the models' versions used for GeoMIP experiments includes information related to components of the model necessary to understand the response to specific SRM methods (for instance, cloud microphysical schemes for MCB, CCT and MCT, details of the treatment of stratospheric aerosols for SAI), as part of the documentation required for the CMIP Rapid Evaluation Framework (REF) <xref ref-type="bibr" rid="bib1.bibx50" id="paren.177"/>, as well as specific diagnostics that would enable a better validation of SRM-specific aspects (for instance, diagnostics from historical simulations with interactive volcanoes to enable comparison with observations, <xref ref-type="bibr" rid="bib1.bibx89" id="altparen.178"/>) in order to make systematic benchmarking of the models used simpler <xref ref-type="bibr" rid="bib1.bibx40" id="paren.179"/>.</p>
<sec id="Ch1.S5.SSx1" specific-use="unnumbered">
  <title>Required output for MCT experiments</title>
      <p id="d2e5035">Correctly attributing the MCT response requires cloud fields at higher temporal resolution than standard monthly means; in particular, monthly-mean bulk phase ratios are insufficient to reproduce satellite-based cloud-top phase climatologies stratified by temperature. In addition to the standard 2D monthly-mean fields from Level 0, the Level 1 protocol therefore requires: <list list-type="bullet"><list-item>
      <p id="d2e5040"><italic>Daily sampled instantaneous values</italic> of 2D fields (TOA, ATM, and BOA clear-sky and all-sky radiative fluxes) and 3D temperature and cloud fields (cloud water content and particle number for liquid and ice; snow and rain if available);</p></list-item><list-item>
      <p id="d2e5046"><italic>COSP forward-simulator</italic> output (CALIPSO/ISCCP diagnostics) for direct comparison with satellite cloud-top-phase retrievals;</p></list-item><list-item>
      <p id="d2e5052"><italic>Glaciation process rates</italic> (daily sampled instantaneous values): at least heterogeneous droplet freezing rate, ice depositional growth rate (WBF), and ice/snow riming rate. Because daily 3D process rates are very expensive to store, we encourage the use of online 2D column-integrated, mixed-phase-integrated, and cloud-top alternatives, which will otherwise be calculated offline.</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e5066">Earth system modeling of different SRM techniques has substantially grown our collective understanding of their potential to avert some consequences of anthropogenic global warming, as well as potential unintended consequences on other climate variables. With this, we do not claim that all questions have been answered; rather, an increased exploration of the size of the potential space of these interventions has shown that deep care should be taken in claiming that, generically, “SRM would do X to system Y”. Recent research has shown that how the specific SRM techniques are simulated, in terms of location, timing, underlying scenario, and magnitude of intervention, all matter when discussing the potential impacts, and while some broad consequences are independent of these details, many are not. Similarly, a renewed interest in the physical and ecological impacts, also driven by an expansion of the community of users for such simulations, has led to a deeper understanding of the sources of uncertainty in such simulations.</p>
      <p id="d2e5069">The GeoMIP community has found that the need to increase the exploration of the scenario space, the need to be able to pinpoint specific physical uncertainties and sources of inter-model spread, and the need to maintain a simple system that is usable and understandable by a broad set of users are all very relevant needs that must be balanced, and no perfect answer exists. The framework GeoMIP is proposing for CMIP7 tries to address many of these challenges, and has matured over many annual workshops with intense discussions. We have aimed to keep proposed experiments simple, yet plausible, to enable the community to both understand more easily sources of uncertainties while relying on a similar scenario framework as other MIPs. We have accompanied the main experiments with more simple experiments that are both useful for diagnosing responses and that can be potentially leveraged to build emulators that can accompany the main simulations to expand the scenario space beyond what is computationally feasible in ESMs. And, this time, we have also proposed a more flexible framework in which modeling teams can maintain a common basis and yet explore specific scenarios that are of interest to them.  Simplicity is a deliberate choice, rather than the product of naivete. The main goal of GeoMIP remains that of highlighting sources of agreement and disagreement across different models, and that is undoubtedly easier to do in somewhat simplified modeling scenarios. This should not be taken (and indeed, the GeoMIP community has never done so) as a claim that the scenarios we produce are aiming to be prescriptive or predictive. A clearer understanding and disentangling of physical impacts has the potential to clarify the implications of what could be “real-world” deployments, which can serve as an input for other fields of research, as well as interdisciplinary research, to expand the space of assessment and understanding of risks beyond climate science <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx9 bib1.bibx30" id="paren.180"/>.</p>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Additional figures</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e5091">Evolution of <bold>(a)</bold> global-mean temperature <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> interhemispheric temperature gradient <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> equator-to-pole temperature gradient <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 2020–2069 for SSP2-4.5 (red) and SAI scenarios (G6-1.5K-SAI, green; ARISE-SAI-1.5, blue; HiLLA-SAI, brown). Line style denotes the climate model (CESM, MIROC, UKESM and E3SM) and line shading show the ensemble spread.</p></caption>
        
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f07.png"/>

      </fig>

<fig id="FA2"><label>Figure A2</label><caption><p id="d2e5148">Arctic-mean (60–90° N) NDJF response as a function of INP concentration for all MCT-MIP Level 0 models and configurations. <bold>(a)</bold> Net cloud radiative effect (CRE, W m<sup>−2</sup>); the control value is shown at the left margin. <bold>(b)</bold> Ice water path (IWP, g m<sup>−2</sup>); E3SM's anomalously high and monotonically increasing IWP explains its warming CRE response. <bold>(c)</bold> Liquid water path (LWP, g m<sup>−2</sup>). <bold>(d)</bold> Total water path (TWP, g m<sup>−2</sup>). Error bars denote the inter-annual standard error of the mean.</p></caption>
        
        <graphic xlink:href="https://gmd.copernicus.org/articles/19/8469/2026/gmd-19-8469-2026-f08.png"/>

      </fig>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e5224">The near-surface air temperature and SAI injection magnitude data needed to reproduce Figs. 2 and 4 is also available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.19556593" ext-link-type="DOI">10.5281/zenodo.19556593</ext-link>, <xref ref-type="bibr" rid="bib1.bibx22" id="altparen.181"/>). The ARISE-SAI simulations used in Fig. 2 are publicly available via the NCAR Geoscience Data Exchange <uri>https://gdex.ucar.edu/datasets/d651059/</uri> <xref ref-type="bibr" rid="bib1.bibx93" id="paren.182"/>. Figure 3 is taken from <xref ref-type="bibr" rid="bib1.bibx70" id="text.183"/> and the data to reproduce it is available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.17613419" ext-link-type="DOI">10.5281/zenodo.17613419</ext-link>, <xref ref-type="bibr" rid="bib1.bibx68" id="altparen.184"/>). Code to reproduce Figs. 2 and 4 for the G6-1.5K-HiLLA simulations is also available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.19582298" ext-link-type="DOI">10.5281/zenodo.19582298</ext-link>, <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.185"/>), or on Github at <uri>https://github.com/alistairduffey/GeoMIP_for_CMIP7_analysis_code</uri> (last access: 7 September 2026). The G6-1.5K-MCB data required for Fig. 5, along with the analysis code to reproduce it, is available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.17525291" ext-link-type="DOI">10.5281/zenodo.17525291</ext-link>, <xref ref-type="bibr" rid="bib1.bibx47" id="altparen.186"/>). Data for the level 0 MCT MIP is available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.19665403" ext-link-type="DOI">10.5281/zenodo.19665403</ext-link>, <xref ref-type="bibr" rid="bib1.bibx123" id="altparen.187"/>). Further monthly data for the G6-1.5K-SAI and G6-1.5K-MCB simulations is available in the respective publications cited in this manuscript; <ext-link xlink:href="https://doi.org/10.5281/zenodo.17613418" ext-link-type="DOI">10.5281/zenodo.17613418</ext-link> <xref ref-type="bibr" rid="bib1.bibx70" id="paren.188"/> and <ext-link xlink:href="https://doi.org/10.5281/zenodo.17525291" ext-link-type="DOI">10.5281/zenodo.17525291</ext-link> <xref ref-type="bibr" rid="bib1.bibx48" id="paren.189"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5289">DV conceptualized the study. DV, AD, MH, HH and WL prepared the original draft. AD, MH, HH, WL and CW performed the formal analyses. All authors revised the manuscript and provided meaningful suggestions throughout the process.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5295">At least one of the (co-)authors is a member of the editorial board of <italic>Geoscientific Model Development</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5304">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5311">DV would like to acknowledge the Quadrature Climate Foundation for their support in providing travel grants to the GeoMIP annual meetings, as well as the GeoMIP community for their continued engagement and contribution. Support for BK was provided in part by NOAA's Climate Program Office, Earth’s Radiation Budget (ERB) (Grant NA22OAR4310479), and the Indiana University Environmental Resilience Institute. Support for EMB has been provided by the National Oceanic and Atmospheric Administration (NOAA) cooperative agreement (NA22OAR4320151), the Earth’s Radiative Budget (ERB) program, and Reflective's Fellowship program. MS and SW were supported by JSPS KAKENHI Grant Number JP25K03324. MIROC-ES2H simulations were supported by the MEXT Program for Advanced Studies of Climate Change Projection (SENTAN) Grant Number JPMXD0722681344 and performed using the Earth Simulator at JAMSTEC. AR was supported by NSF grant AGS-2017113. Support for WRL has been provided by the Quadrature Climate Foundation, Grant No. 01-21-000349.  JAA has been supported by the Grant TED2021-132172B-I00 and by the Grant PID2024-158326NB-I00 funded by MICIU/AEI/10.13039/501100011033 and by ERD-F/EU. The EPhysLab is supported by the Government of Galicia (grant no. GRC-ED431C 2025/37).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5316">This research has been supported by the NOAA Research (grant nos. NA22OAR4320151 and NA22OAR4310479), the Japan Society for the Promotion of Science (grant no. JP25K03324), the Development of Advanced Measurement and Analysis Systems (grant no. JPMXD0722681344),   the National Science Foundation (grant no. AGS-2017113), MICIU/AEI/10.13039/501100011033  and by ERD-F/EU (grant nos.  TED2021-132172B-I00 and PID2024-158326NB-I00), and by the Government of Galicia (grant no. GRC-ED431C 2025/37).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5322">This paper was edited by Ulas Im and reviewed by Trude Storelvmo and one anonymous referee.</p>
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