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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</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/bg-23-6521-2026</article-id><title-group><article-title>Introducing shrubs enhances the representation of high-latitude vegetation and carbon cycling in the ORCHIDEE land surface model</article-title><alt-title>Introducing shrubs in the ORCHIDEE LSM</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kirchner</surname><given-names>Anna</given-names></name>
          <email>anki@envs.au.dk</email>
        <ext-link>https://orcid.org/0009-0007-5200-6104</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>López-Blanco</surname><given-names>Efrén</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Bastrikov</surname><given-names>Vladislav</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Luyssaert</surname><given-names>Sebastiaan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1121-1869</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Peylin</surname><given-names>Philippe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lansø</surname><given-names>Anne Sofie</given-names></name>
          <email>as.lansoe@envs.au.dk</email>
        <ext-link>https://orcid.org/0000-0003-4746-5924</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Environmental Science, Aarhus University, Roskilde, Denmark</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Ecoscience, Aarhus University, Roskilde, Denmark</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Environment and Minerals, Greenland Institute of Natural Resources, Nuuk, Greenland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Science Partners, Paris, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>ALIFE, Systems Ecology, Vrije Universiteit Amsterdam, Amsterdam, the Netherlands</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Laboratoire des Sciences du Climat et de l'Environnement, LSCE/IPSL, CEA-CNRS-UVSQ, Université Paris-Saclay, Gif-sur-Yvette, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anna Kirchner (anki@envs.au.dk) and Anne Sofie Lansø (as.lansoe@envs.au.dk)</corresp></author-notes><pub-date><day>18</day><month>September</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>18</issue>
      <fpage>6521</fpage><lpage>6555</lpage>
      <history>
        <date date-type="received"><day>24</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>6</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>18</day><month>June</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>June</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Anna Kirchner 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://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026.html">This article is available from https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e167">Arctic–Boreal terrestrial ecosystems are rapidly changing under amplified high-latitude warming, including widespread expansion of shrubs, with consequences for regional carbon and energy balances. Yet, high-latitude vegetation diversity and vegetation–climate interactions remain under-represented in many global land surface models. In ORCHIDEE, the land surface component of the IPSL Earth system model, high-latitude vegetation is represented primarily as boreal trees or grasslands, omitting explicit shrubs. Here, we implement three high-latitude shrub plant functional types (PFTs) (tall deciduous, low deciduous, and evergreen dwarf shrubs) in ORCHIDEE (revision 9269). Following literature recommendations, this classification combines phenology and stature to capture key functional contrasts while keeping the number of new PFTs limited. The implementation builds on ORCHIDEE's existing woody vegetation scheme by recalibrating a targeted set of parameters controlling allometry, carbon allocation, recruitment, mortality and phenology. Parameter values are constrained using synthesised pan-Arctic observations to obtain regionally representative shrub traits. Shrub spatial distributions are prescribed with updated PFT maps that combine ESA CCI products with Arctic and regional shrub mapping information. The resulting shrub PFTs reproduce observed ranges of shrub size and biomass allocation across the Arctic–Boreal domain. Introducing shrubs reduces simulated total aboveground biomass in the Arctic–Boreal region from 54 to 46.7 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M2" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>13.5 %) and mean annual gross primary productivity from 498 to 481 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M4" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>3.4 %) over the simulated period 1992–2020, with a stronger reduction in the tundra region (4.6 to 3 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M6" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>34.8 %); and 334 to 289 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M8" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>13.5 %)), increasing agreement with benchmarking datasets. A key strength of our implementation is its simplicity, as it builds on ORCHIDEE’s existing woody vegetation framework. In addition, the use of synthesised pan-Arctic observations provides regionally representative observational constraints, making the methodological choices transferable beyond ORCHIDEE. Overall, this work provides a data-constrained shrub representation in ORCHIDEE with minimal added process complexity and establishes a foundation for future development of shrub-climate interactions and dynamic shrubification processes.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Horizon 2020 Framework Programme</funding-source>
<award-id>GreenFeedBack, Grant No. 101056921</award-id>
</award-group>
<award-group id="gs2">
<funding-source>NordForsk</funding-source>
<award-id>NordBorN, grant no. 164079</award-id>
</award-group>
<award-group id="gs3">
<funding-source>HORIZON EUROPE Climate, Energy and Mobility</funding-source>
<award-id>NextGenCarbon, Grant No. 101184989</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="d2e288">High-latitude regions are warming two to four times faster than the global average under anthropogenic climate change <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx80" id="paren.1"/>, driving changes in ecosystem structure and function across boreal and Arctic tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx76" id="paren.2"/>. One of the most prominent ecological responses in the Arctic is the expansion of shrubs across tundra ecosystems, often referred to as shrubification <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx63" id="paren.3"/>. Through a complex set of plant–soil–atmosphere interactions, shrubification processes alter tundra carbon and energy balances, with potential feedback effects on local to global climate <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx38" id="paren.4"/>. Shrub expansion can enhance carbon uptake through increases in productivity and biomass, but also increase carbon losses through ecosystem respiration and litter inputs, modify albedo via snow-shrub interactions, alter soil moisture and temperature, and contribute to permafrost degradation <xref ref-type="bibr" rid="bib1.bibx60" id="paren.5"/>. Due to the many and complex interacting processes involved, the net climate impact of shrubification and its future trajectory remain uncertain <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx54" id="paren.6"/>. Reducing such uncertainties requires both long-term field observations and improved process representation in ecosystem models. Consequently, coupled Earth System Models (ESMs) require credible representations of high-latitude vegetation characteristics and dynamics – including shrubs – to simulate observed change and project future scenarios.</p>
      <p id="d2e310">However, shrub functional diversity is not always sufficiently represented in global land surface models (LSMs), the terrestrial land surface components of ESMs. Shrub tundra vegetation exhibits strong fine-scale heterogeneity with many structural variations and differing ecosystem functions. Since LSMs operate at much coarser spatial resolution and under computational constraints, plant species are typically aggregated into plant functional types (PFTs) based on similar characteristics and ecosystem function <xref ref-type="bibr" rid="bib1.bibx108" id="paren.7"/>. For high-latitude shrubs, the most common distinction is between evergreen and deciduous shrubs <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx108" id="paren.8"/>. However, this categorisation has been criticized as insufficient to capture divergent shrub responses to environmental change, motivating calls for more detailed, trait-informed representations of tundra vegetation in LSMs <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx108 bib1.bibx60" id="paren.9"/>. This highlights a central modelling trade-off: PFT classifications must remain general enough for global models while still capturing the functional contrasts that control vegetation dynamics and shrub-climate interactions. To reduce existing uncertainties and biases, the choice of shrub categorisation and key characteristics should be grounded in current ecological knowledge and synthesised field observations.</p>
      <p id="d2e322">In response, there have been efforts to improve the representation of high-latitude vegetation in ESM land components, including introducing explicit high-latitude shrub PFTs in LPJ-GUESS <xref ref-type="bibr" rid="bib1.bibx107" id="paren.10"/> and CLASSIC <xref ref-type="bibr" rid="bib1.bibx61" id="paren.11"/>, and updating shrub parameterisations in JULES <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx35" id="paren.12"/>. Nevertheless, shrub representations remain uneven across models, and dedicated shrub PFTs are still absent from some widely used LSMs, including ORCHIDEE (Organising Carbon and Hydrology In Dynamic Ecosystems), the global land surface component of IPSL-CM.</p>
      <p id="d2e334">In its present version (revision 9269), ORCHIDEE only represents high-latitude ecosystems as boreal forest, grassland or bare soil. As a result, regions that are shrub-dominated in reality are often prescribed as forest in the model. The lack of tundra plant diversity in the current model version leads to an inaccurate representation of tundra ecosystems and inherent feedback processes, together with biases in simulated high-latitude carbon stocks and <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes <xref ref-type="bibr" rid="bib1.bibx115" id="paren.13"/>.</p>
      <p id="d2e352">Previous attempts to address this limitation in ORCHIDEE were made by <xref ref-type="bibr" rid="bib1.bibx23" id="text.14"/>, who implemented Arctic shrubs, grasses, and non-vascular plants in an earlier version (r1322). Since then, ORCHIDEE has undergone major structural changes, including a completely new carbon allocation scheme with tree demography <xref ref-type="bibr" rid="bib1.bibx67" id="paren.15"/>, addition of the nitrogen cycle <xref ref-type="bibr" rid="bib1.bibx101" id="paren.16"/>, and a new multi-layer snow scheme <xref ref-type="bibr" rid="bib1.bibx105" id="paren.17"/>. As a result, the implementation by <xref ref-type="bibr" rid="bib1.bibx23" id="text.18"/> is no longer compatible with the current model structure and could not be maintained in the present ORCHIDEE tag 4.3.</p>
      <p id="d2e370">In this study, we introduce shrub PFTs into ORCHIDEE (r9269) to improve the representation of high-latitude vegetation and carbon cycling. To this aim, we: (1) define a classification of shrub types and associated traits constrained by synthesised pan-Arctic observations, (2) implement three new shrub PFTs in ORCHIDEE using existing woody-vegetation functionality, (3) develop updated annual PFT maps that include the new shrub PFTs across the Arctic–Boreal domain, and (4) evaluate the impact of shrub inclusion on high-latitude aboveground biomass and productivity fluxes using independent benchmarking datasets.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
      <p id="d2e381">Introducing shrubs into a global land surface model requires simplifying shrub diversity into a limited set of characteristics that can be represented with few PFTs. In this study, we specifically focus on the role of high-latitude shrubs in carbon cycle processes in ORCHIDEE LSM.</p>
      <p id="d2e384">First, we identified the central characteristics of shrubs and what distinguishes them from trees. Then, we established a meaningful categorisation into shrub PFTs (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS1"/>), and determined calibration targets for each type based on observational data (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS2"/>). Following these data-based shrub characteristics, shrub PFTs were implemented in ORCHIDEE by selecting and optimising a set of PFT-specific parameters (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>). The spatial distributions of the shrub PFTs was prescribed with updated PFT maps (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). Finally, pan-Arctic simulations were evaluated against independent observation-based data products (Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>). </p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Shrub PFT design and observational constraints</title>
      <p id="d2e405">We adopted a data-driven strategy in which shrub PFT definition and calibration targets were guided by established ecological understanding and constrained by synthesised observations across the high-latitude region. This makes the shrub implementation approach transferable to modelling frameworks beyond ORCHIDEE, and increases region-scale representativeness of shrub characteristics.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Shrub characterisation and classification</title>
      <p id="d2e415">Shrubs are low-stature woody plants – both deciduous and evergreen – adapted to limited growing conditions, such as in arid or cold regions <xref ref-type="bibr" rid="bib1.bibx14" id="paren.19"/>. In high-latitude regions, shrubs typically have lower height and stem diameter and therefore lower biomass relative to boreal trees. Furthermore, they are characterised by a multi-stemmed growth form, and a comparatively large belowground allocation to shallow, laterally extensive root systems <xref ref-type="bibr" rid="bib1.bibx65" id="paren.20"/>. Together with rapid regrowth and tolerance of stem loss, these traits may contribute to the ability of shrubs to persist further north than trees <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx31 bib1.bibx93" id="paren.21"/>. These common characteristics and survival mechanisms distinguish shrubs from trees and guide our shrub implementation by indicating which parameters and outputs should be targeted (cf. Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>).</p>
      <p id="d2e429">Beyond these shared traits, shrubs span a wide range of sizes and growth forms across the high-latitude region. Observed shrub stature ranges from prostrate dwarf shrubs (<inline-formula><mml:math id="M10" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>), through erect dwarf and low shrubs (<inline-formula><mml:math id="M12" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 20–50 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>), to tall shrubs that can exceed 2 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx65" id="paren.22"/>. Shrub stature and composition vary with climate and local conditions <xref ref-type="bibr" rid="bib1.bibx109" id="paren.23"/>, but this diversity cannot be resolved in a large-scale model like ORCHIDEE. Shrubs must therefore be grouped into PFTs that capture the functional contrasts most relevant for ecosystem functioning, responses to environmental change and climate interactions <xref ref-type="bibr" rid="bib1.bibx108" id="paren.24"/>.</p>
      <p id="d2e480">Based on evidence from field studies and model experiments we have chosen to distinguish shrub types by phenology and size. We implemented three high-latitude shrub PFTs: tall deciduous shrubs, low deciduous shrubs and evergreen dwarf shrubs. The classification into deciduous and evergreen shrub PFTs follows tundra PFT recommendations and implementations in other models <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx108 bib1.bibx21 bib1.bibx61" id="paren.25"/>. The approach was refined by adding a distinction by height, because shrub stature influences canopy structure, productivity, and snow interactions, and phenology alone is insufficient to capture observed divergent growth responses to climate change <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx108 bib1.bibx85 bib1.bibx60" id="paren.26"/>.</p>
      <p id="d2e489">The new shrub PFTs in ORCHIDEE represent (i) tall deciduous shrubs, such as willow (<italic>Salix</italic> spp.) and alder (<italic>Alnus</italic> spp.), which are often dominant under shrubification <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx60" id="paren.27"/>; (ii) low deciduous shrubs, mainly representing dwarf birch (<italic>Betula nana</italic>), which are likewise expanding, but differ in their ecological function compared to tall deciduous shrubs through their lower stature <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx91" id="paren.28"/>; and (iii) evergreen dwarf shrubs, which are expanding under different conditions, with distinct effects on ecosystems and climate feedbacks <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx99 bib1.bibx63" id="paren.29"/>.</p>
      <p id="d2e513">This categorisation captures functionally distinct trait combinations while keeping the number of PFTs manageable for data-driven calibration of a global model. The proposed PFTs represent dominant tundra shrub species, align with available calibration data, and support regionally representative parameter values.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e519">Data-based characterisations and calibration constraints for the three shrub PFTs, given as representative values and typical ranges. (<sup>∗</sup> Data sources for height: <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx26 bib1.bibx81 bib1.bibx55 bib1.bibx102 bib1.bibx107" id="text.30"/>.)</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="30mm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="30mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="30mm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="40mm"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="20mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Tall deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3" align="left">Low deciduous shrubs</oasis:entry>
         <oasis:entry colname="col4" align="left">Evergreen dwarf shrubs</oasis:entry>
         <oasis:entry colname="col5" align="left">Source</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Typical species</oasis:entry>
         <oasis:entry colname="col2" align="left"><italic>Salix</italic> spp., <italic>Alnus</italic> spp., tall <italic>Betula glandulosa</italic></oasis:entry>
         <oasis:entry colname="col3" align="left"><italic>Betula nana</italic></oasis:entry>
         <oasis:entry colname="col4" align="left"><italic>Empetrum nigrum</italic>, <italic>Vaccinium vitis-idaea</italic>, <italic>Rhododendron subarcticum</italic>, <italic>Kalmia procumbens</italic>, <italic>Andromeda polifolia</italic>,…</oasis:entry>
         <oasis:entry colname="col5" align="left">
                        <xref ref-type="bibr" rid="bib1.bibx81" id="text.31"/>
                      </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Height [<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2" align="left">1.5 (0.5–3.0)</oasis:entry>
         <oasis:entry colname="col3" align="left">0.5 (0.3–1.0)</oasis:entry>
         <oasis:entry colname="col4" align="left">0.2 (0–0.3)</oasis:entry>
         <oasis:entry colname="col5" align="left"><sup>∗</sup>see caption</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Basal diameter [<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2" align="left">0.8–5.3</oasis:entry>
         <oasis:entry colname="col3" align="left">0.46–1.65</oasis:entry>
         <oasis:entry colname="col4" align="left">0–0.46</oasis:entry>
         <oasis:entry colname="col5" align="left">
                        <xref ref-type="bibr" rid="bib1.bibx6" id="text.32"/>
                      </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Aboveground Biomass [<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2" align="left">583.5 (325–671)</oasis:entry>
         <oasis:entry colname="col3" align="left">220 (130–479)</oasis:entry>
         <oasis:entry colname="col4" align="left">131 (74–218)</oasis:entry>
         <oasis:entry colname="col5" align="left">
                        <xref ref-type="bibr" rid="bib1.bibx8" id="text.33"/>
                      </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Fraction of belowground biomass</oasis:entry>
         <oasis:entry colname="col2" align="left">70 % (60 %–80 %)</oasis:entry>
         <oasis:entry colname="col3" align="left">70 % (60 %–80 %)</oasis:entry>
         <oasis:entry colname="col4" align="left">70 % (60 %–80 %)</oasis:entry>
         <oasis:entry colname="col5" align="left">
                        <xref ref-type="bibr" rid="bib1.bibx104 bib1.bibx42" id="text.34"/>
                      </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Observational constraints</title>
      <p id="d2e749">Typical characteristics to constrain the calibration of the shrub PFTs (in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>) were compiled from various synthesized pan-Arctic field observations and literature. Since Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS1"/> identified low height and biomass, growth form with multiple stems, and a large fraction of belowground biomass as the most distinct shrub characteristics, we focused on observations of height, diameter, above- and belowground biomass and carbon flux measurements (see Table <xref ref-type="table" rid="T1"/>). Contrary to the approach taken in other shrub model implementation studies (e.g. <xref ref-type="bibr" rid="bib1.bibx61" id="altparen.35"/>), we chose not to calibrate the model against observations collected at a single field site. Instead, we relied on field observations and literature from across the high-latitude region, to capture the most representative characteristics for the simulated shrubs. This approach was used to enhance the chances that the shrub implementation reflected region-scale patterns rather than local tuning.</p>
      <p id="d2e761">The three shrub PFTs are distinguished by height into a tall shrub PFT (aim for <inline-formula><mml:math id="M20" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), a low shrub PFT (<inline-formula><mml:math id="M22" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), and a dwarf shrub PFT (<inline-formula><mml:math id="M24" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 0.2 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, Table <xref ref-type="table" rid="T1"/>). These values represent a compromise between different threshold values from literature <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx26" id="paren.36"/>, different shrub mapping products <xref ref-type="bibr" rid="bib1.bibx81 bib1.bibx55 bib1.bibx102" id="paren.37"/> and the LPJ-GUESS LSM <xref ref-type="bibr" rid="bib1.bibx107" id="paren.38"/> (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/> for further details).</p>
      <p id="d2e823">The desired diameters were derived from shrub height based on allometric relationships established by <xref ref-type="bibr" rid="bib1.bibx6" id="text.39"/>, and are in line with a small survey we conducted in Kobbefjord, Greenland (Table <xref ref-type="table" rid="TA2"/>).</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e834">Locations of observational data sites. Orange triangles: Six EC <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux sites from FLUXNET and AmeriFlux. Purple dots: 331 shrub-dominated aboveground biomass sites in 24 different areas from <xref ref-type="bibr" rid="bib1.bibx8" id="text.40"/>. Red rectangle: Model grid cell used for parameter optimisation. Green shading indicates the Arctic–Boreal region as defined in <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx71" id="text.41"/>, with the tundra (light green) and boreal (darker green) subregions <xref ref-type="bibr" rid="bib1.bibx20" id="paren.42"/>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f01.png"/>

          </fig>

      <p id="d2e863">Ranges for aboveground biomass (AGB) were derived from the Arctic Plant Aboveground Biomass Synthesis Dataset <xref ref-type="bibr" rid="bib1.bibx8" id="paren.43"/>, containing measurements of peak summer biomass collected at 636 field sites across the Arctic region between 1998 and 2022. Only sample plots with at least 80 % shrub AGB were selected, resulting in 331 sites located in 24 different areas (see Fig. <xref ref-type="fig" rid="F1"/>) with a median (interquartile range) biomass of 142.5 (83.25–265.0) <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The dataset does not provide a categorisation of shrub types, but we used the vegetation description for each plot to extract specific aboveground biomass estimates for the three shrub PFTs by filtering for species or references to their height (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/> for further details). We summarised biomass by field site (median across plots) before calculating statistics across sites and converted from dry biomass to carbon assuming 50 % <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content. This resulted in the following AGB calibration targets: tall deciduous shrubs (14 sites): 583.5 (325.25–671.3125) <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, low deciduous shrubs (65 sites): 220 (130–479) <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and evergreen dwarf shrubs (238 sites): 131 (74–218) <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e962">Fractions of belowground biomass were determined from <xref ref-type="bibr" rid="bib1.bibx104" id="text.44"/> and <xref ref-type="bibr" rid="bib1.bibx42" id="text.45"/>. Average fractions of belowground biomass were calculated to be 68.3 <inline-formula><mml:math id="M32" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.2 % (mean <inline-formula><mml:math id="M33" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation) for shrub-dominated sites (<inline-formula><mml:math id="M34" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 80 % of AGB) from the <xref ref-type="bibr" rid="bib1.bibx104" id="text.46"/> dataset, and <xref ref-type="bibr" rid="bib1.bibx42" id="text.47"/> report 73 % for deciduous and 76 % for evergreen shrubs, which were combined into a target of approximately 70 % (60 %–80 %) of biomass allocated belowground for all three simulated shrub PFTs.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1002">Eddy-covariance <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux measurement sites located in shrub tundra locations from FLUXNET and Ameriflux. Columns: IGBP <inline-formula><mml:math id="M36" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> IGBP vegetation classification (CSH <inline-formula><mml:math id="M37" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> closed shrubland, OSH <inline-formula><mml:math id="M38" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> open shrubland). Veg <inline-formula><mml:math id="M39" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Vegetation classification by <xref ref-type="bibr" rid="bib1.bibx69" id="text.48"/> derived from site descriptions based on CAVM <xref ref-type="bibr" rid="bib1.bibx103" id="paren.49"/> (S2 <inline-formula><mml:math id="M40" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Low-shrub moss tundra, P2 <inline-formula><mml:math id="M41" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Prostrate/Hemiprostrate dwarf-shrub lichen tundra, G4 <inline-formula><mml:math id="M42" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Tussock sedge, dwarf-shrub, moss tundra). <inline-formula><mml:math id="M43" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M44" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> elevation [<inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]. <inline-formula><mml:math id="M46" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M47" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Mean annual temperature [<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]. <inline-formula><mml:math id="M49" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean annual precipitation [mm]. GPP <inline-formula><mml:math id="M51" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> median (interquartile range) annual GPP [<inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]. GPP estimated using nighttime flux partitioning method.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="30mm"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="left"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Site ID</oasis:entry>
         <oasis:entry colname="col2" align="left">Location</oasis:entry>
         <oasis:entry colname="col3">IGBP</oasis:entry>
         <oasis:entry colname="col4">Veg</oasis:entry>
         <oasis:entry colname="col5">Lat(° N)/Lon(°E)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M53" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M54" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M55" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">Years</oasis:entry>
         <oasis:entry colname="col10">GPP</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">US-TKs</oasis:entry>
         <oasis:entry colname="col2" align="left">Toolik Shrub Tundra, AK, USA</oasis:entry>
         <oasis:entry colname="col3">CSH</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">68.6337/<inline-formula><mml:math id="M56" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>149.5769</oasis:entry>
         <oasis:entry colname="col6">760</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M57" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9</oasis:entry>
         <oasis:entry colname="col8">316</oasis:entry>
         <oasis:entry colname="col9">2018–2025</oasis:entry>
         <oasis:entry colname="col10">365 (302–382)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">US-ICh</oasis:entry>
         <oasis:entry colname="col2" align="left">Imnavait Creek Watershed Heath Tundra, AK, USA</oasis:entry>
         <oasis:entry colname="col3">OSH</oasis:entry>
         <oasis:entry colname="col4">P2</oasis:entry>
         <oasis:entry colname="col5">68.6167/<inline-formula><mml:math id="M58" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>149.3</oasis:entry>
         <oasis:entry colname="col6">940</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M59" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.4</oasis:entry>
         <oasis:entry colname="col8">318</oasis:entry>
         <oasis:entry colname="col9">2008–2024</oasis:entry>
         <oasis:entry colname="col10">191 (163–212)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">US-xHE</oasis:entry>
         <oasis:entry colname="col2" align="left">NEON Healy, AK, USA</oasis:entry>
         <oasis:entry colname="col3">OSH</oasis:entry>
         <oasis:entry colname="col4">S2</oasis:entry>
         <oasis:entry colname="col5">63.8757/<inline-formula><mml:math id="M60" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>149.2133</oasis:entry>
         <oasis:entry colname="col6">705</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M61" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4</oasis:entry>
         <oasis:entry colname="col8">320</oasis:entry>
         <oasis:entry colname="col9">2018–2021</oasis:entry>
         <oasis:entry colname="col10">496 (384–675)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">US-EML</oasis:entry>
         <oasis:entry colname="col2" align="left">Eight Mile Lake Permafrost thaw gradient, Healy, AK, USA</oasis:entry>
         <oasis:entry colname="col3">OSH</oasis:entry>
         <oasis:entry colname="col4">G4</oasis:entry>
         <oasis:entry colname="col5">63.8784/<inline-formula><mml:math id="M62" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>149.2536</oasis:entry>
         <oasis:entry colname="col6">662</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1</oasis:entry>
         <oasis:entry colname="col8">378</oasis:entry>
         <oasis:entry colname="col9">2008–2019</oasis:entry>
         <oasis:entry colname="col10">416 (393–456)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">RU-Cok</oasis:entry>
         <oasis:entry colname="col2" align="left">Chokurdakh, Russia</oasis:entry>
         <oasis:entry colname="col3">OSH</oasis:entry>
         <oasis:entry colname="col4">G4</oasis:entry>
         <oasis:entry colname="col5">70.8291/147.4943</oasis:entry>
         <oasis:entry colname="col6">48</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.3</oasis:entry>
         <oasis:entry colname="col8">232</oasis:entry>
         <oasis:entry colname="col9">2003–2013</oasis:entry>
         <oasis:entry colname="col10">361 (303–529)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RU-Vrk</oasis:entry>
         <oasis:entry colname="col2" align="left">Seida, Vorkuta, Russia</oasis:entry>
         <oasis:entry colname="col3">CSH</oasis:entry>
         <oasis:entry colname="col4">S2</oasis:entry>
         <oasis:entry colname="col5">67.0547/62.9405</oasis:entry>
         <oasis:entry colname="col6">100</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.6</oasis:entry>
         <oasis:entry colname="col8">501</oasis:entry>
         <oasis:entry colname="col9">2008</oasis:entry>
         <oasis:entry colname="col10">408 (408–408)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1521">Data documenting the carbon fluxes between the atmosphere and shrub vegetation were extracted from the FLUXNET2015 <xref ref-type="bibr" rid="bib1.bibx77" id="paren.50"/> and AmeriFlux <xref ref-type="bibr" rid="bib1.bibx17" id="paren.51"/> datasets. We selected sites classified as open or closed shrubland (OSH/CSH), located above 50° N and with the full FLUXNET-standard post-processing available. Based on the available vegetation descriptions, further sites were excluded, including burn sites with fire succession vegetation, and one tussock-tundra site (US-ICt), resulting in six selected shrub sites (cf. Table <xref ref-type="table" rid="T2"/>). It is important to note that due to the nature of EC flux measurements, the recorded fluxes represent the aggregate of the entire ecosystems around the tower within a variable footprint, and the data does not specify the contributions of individual PFTs. Therefore, the sites were not assigned to specific shrub PFTs, but used instead as a benchmark for shrub tundra ecosystems to calibrate and evaluate all three ORCHIDEE shrub PFTs against. Notably, the available vegetation descriptions indicate that dwarf and low shrubs seem to be more prominent than tall shrubs at most sites (e.g. <xref ref-type="bibr" rid="bib1.bibx95" id="text.52"/>; <xref ref-type="bibr" rid="bib1.bibx68" id="text.53"/>; cf. Table <xref ref-type="table" rid="T2"/>). Across all six sites, a range of average daily gross primary productivity (GPP) of 0.73 (0.18–2.45) <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (median (interquartile range)) and average annual GPP of 336 (209–413) <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was extracted. The GPP statistics were calculated using nighttime flux partitioning, after excluding negative GPP estimates and years without positive values.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Implementation of shrub PFTs in ORCHIDEE</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>ORCHIDEE model description</title>
      <p id="d2e1615">We used ORCHIDEE (revision 9269), the land surface component of IPSL-CM (<xref ref-type="bibr" rid="bib1.bibx78" id="text.54"/>, see <xref ref-type="bibr" rid="bib1.bibx47" id="text.55"/>, <xref ref-type="bibr" rid="bib1.bibx67" id="text.56"/>, <xref ref-type="bibr" rid="bib1.bibx101" id="text.57"/> for descriptions of previous model versions, and supplementary Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/> for an overview of the version used here). ORCHIDEE simulates exchanges of energy, water, and greenhouse gases and explicitly represents terrestrial <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> cycles. ORCHIDEE r9269 builds on ORCHIDEE tag 4.3, which forms the basis for upcoming model applications, including CMIP-7 FAST-TRACK and TRENDY (<xref ref-type="bibr" rid="bib1.bibx78" id="altparen.58"/>).</p>
      <p id="d2e1652">In ORCHIDEE, vegetation is represented by PFTs, and many parameters are PFT-specific to capture functional differences among ecosystems. The baseline ORCHIDEE r9269 configuration represents global vegetation using 15 PFTs, mainly focused on different types of forest ecosystems, and includes no dedicated shrub PFTs (see Table <xref ref-type="table" rid="TA1"/>). High-latitude vegetation is represented by five PFTs representing boreal forests, grassland and bare soil. The spatial occurrence of PFTs is prescribed with PFT maps, based on satellite-derived maps of land cover classes <xref ref-type="bibr" rid="bib1.bibx36" id="paren.59"/>, further combined with information from the land use harmonisation database (LUH; <xref ref-type="bibr" rid="bib1.bibx40" id="altparen.60"/>) to reconstruct the historical evolution of PFTs back to 1850. Due to the lack of shrub PFTs, ORCHIDEE simulates boreal forest (80 %) and boreal grass (20 %) at high-latitude locations where shrub cover has been observed.</p>
      <p id="d2e1663">To improve ORCHIDEE's representation of high-latitude ecosystems, we introduced three high-latitude shrub PFTs – tall deciduous shrubs, low deciduous shrubs, and evergreeen dwarf shrubs – into ORCHIDEE (r9269). Shrubs were implemented using existing woody-PFT functionality by recalibrating a targeted set of parameters controlling allometry, recruitment and mortality, carbon allocation, and phenology. Deciduous shrubs were derived from the boreal summergreen tree PFT (PFT 8), and evergreen dwarf shrubs from the closest phenological analogue temperate broad-leaved evergreen tree PFT (PFT 5).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e1670">ORCHIDEE PFT-parameters altered to implement shrub PFTs based on tree PFTs, their function in the model, and the direction of change for shrubs (<inline-formula><mml:math id="M70" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M71" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> decrease, + <inline-formula><mml:math id="M72" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> increase).</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="justify" colwidth="80mm"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2" align="left">Function in ORCHIDEE</oasis:entry>
         <oasis:entry colname="col3">Direction</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left"/>
         <oasis:entry colname="col3">of change</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>PIPE_TUNE2</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Plant height at 1 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter [<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>QMD_INIT</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Minimum diameter of saplings at establishment [<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>ALPHA_SELF_THINNING</italic>/<italic>REF_ALPHA_SELF_THIN</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Coefficient of the self-thinning relationship, controlling the max. number of <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">trees</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for a given diameter</oasis:entry>
         <oasis:entry colname="col3">+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>RECRUITMENT_BETA</italic>, <italic>RECRUITMENT_ALPHA</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Coefficients of recruitment based on light and density</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>RECRUITMENT_HEIGHT</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Height of stems added through recruitment [<inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>ALLOC_MIN</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Minimum fraction of sapwood allocated aboveground</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>ALLOC_MAX</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Maximum fraction of sapwood allocated aboveground</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>K_LATOSA_MIN</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Minimum leaf-to-sapwood area ratio</oasis:entry>
         <oasis:entry colname="col3">+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>K_LATOSA_MAX</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Maximum leaf-to-sapwood area ratio</oasis:entry>
         <oasis:entry colname="col3">+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>SLAINIT</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Specific leaf area [<inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>GDDNCD_OFFSET</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Coefficient of the function balancing growing-degree-days and chilling days necessary for budbreak</oasis:entry>
         <oasis:entry colname="col3">+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>NUE_OPT</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Nitrogen use efficiency of Vcmax [(<inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">leaf</mml:mi><mml:mo>]</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>LEAF_AGE_CRIT_TREF</italic></oasis:entry>
         <oasis:entry colname="col2" align="left">Reference temp to calculate critical leaf age [<inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Model experiments</title>
      <p id="d2e2050">Calibration of the shrub PFT parameters was performed in two steps. First, manual sensitivity tests were conducted to identify influential parameters and value ranges (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS3"/>). Then, the selected parameters were optimised against observational calibration targets using the ORCHIDEE data assimilation system ORCHIDAS (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS4"/>). Sensitivity tests and optimisation were performed separately for each shrub PFT at grid cell level, primarily using the 2° <inline-formula><mml:math id="M82" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2° grid cell around Toolik Lake, Alaska (67.6–69.6° N, 148.6–150.6° W). This area was found suitable both because it includes a well-studied diverse shrub tundra environment, and because initial ORCHIDEE simulations across the high-latitude region showed that it represents average growing conditions for the region. Different grid cells were tested during the development process, and parameterisation proved to be only weakly sensitive to grid cell-choice. While parameterisation and optimisation were limited to a single grid cell for computational reasons, they were based on regionally representative targets derived from synthesised pan-Arctic observations.</p>
      <p id="d2e2064">Site-level simulations consisted of a 340 year spinup (using cyclical 1901–1920 forcing), followed by a historical simulation (1900–2020). By using a semi-analytical spinup method, soil <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> pools could be brought to equilibrium with only 340 years spinup <xref ref-type="bibr" rid="bib1.bibx49" id="paren.61"/>. Atmospheric forcing conditions were supplied from CRU JRA v2.4 reanalysis, in line with the TRENDY model intercomparison experiment protocol <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx88" id="paren.62"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Parameter selection and changes</title>
      <p id="d2e2097">Manual sensitivity tests at site-level determined a suitable set of parameters to target and the direction of their change to capture shrub characteristics starting from tree PFTs (see Table <xref ref-type="table" rid="T3"/>). To match the data-based shrub characteristics, the main aims were to decrease height, diameter and biomass, increase the belowground biomass allocation, and keep plant stands stable throughout those changes. The sensitivity analyses were performed by varying parameter values and evaluating their impact on relevant output variables. In some cases, parameters were varied individually using incremental adjustments. In other cases, multiple parameters were modified simultaneously, for example to account for changes in the balance between recruitment and mortality. The sensitivity analyses were partly iterative, requiring certain parameters to be re-adjusted after others had been constrained in order to maintain internal process consistency. Once model behaviour converged towards the predefined calibration objectives, formal optimisation with ORCHIDAS was initiated. In the subsequent paragraphs, the text in italics refers to the parameter names in ORCHIDEE r9269.</p>
</sec>
<sec id="Ch1.S2.SS2.SSSx1" specific-use="unnumbered">
  <title><italic>Plant allometry</italic></title>
      <p id="d2e2110">Plant height and diameter were reduced by decreasing the initial diameter of saplings (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mi>q</mml:mi><mml:mi>m</mml:mi><mml:mi>d</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) and the reference plant height at a diameter of 1 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi>i</mml:mi><mml:mi>p</mml:mi><mml:mi>e</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:mi>t</mml:mi><mml:mi>u</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). In the current ORCHIDEE version, height can either be controlled statically through (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi>i</mml:mi><mml:mi>p</mml:mi><mml:mi>e</mml:mi><mml:mi mathvariant="italic">_</mml:mi><mml:mi>t</mml:mi><mml:mi>u</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>), or adjusted dynamically based on precipitation. Shrub PFTs use the static height, since precipitation is not the dominant driver for high-latitude shrub growth <xref ref-type="bibr" rid="bib1.bibx64" id="paren.63"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSSx2" specific-use="unnumbered">
  <title><italic>Recruitment and mortality</italic></title>
      <p id="d2e2207">Besides the influence of allometric parameters, the average stand diameter, height and biomass are the result of a balance between recruitment and mortality. We increased recruitment to stimulate self-thinning mortality and maintain dense, low-stature shrub stands.</p>
      <p id="d2e2210">In ORCHIDEE, natural mortality of forests is simulated through a self-thinning mechanism based on site carrying capacity <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx112" id="paren.64"/>:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M89" display="block"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mrow><mml:mtext>ind</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mtext>qmdia</mml:mtext></mml:msup></mml:mrow><mml:mtext>alpha_self_thinning</mml:mtext></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mtext>beta_self_thinning</mml:mtext></mml:mfrac></mml:mstyle></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mrow><mml:mtext>ind</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the maximum stand density (maximum number of individuals of a given quadratic mean diameter (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mtext>qmdia</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>)), that a site can support, and “alpha_self_thinning” and “beta_self_thinning” are PFT-specific parameters. Self-thinning occurs when actual density exceeds the maximum (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mrow><mml:mtext>ind</mml:mtext><mml:mo>,</mml:mo><mml:mo>max⁡</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). To allow higher shrub densities, we increased “alpha_self_thinning” for shrub PFTs and prescribed it as constant.</p>
      <p id="d2e2297">We increased natural mortality through increased recruitment. Recruitment was increased by tuning the PFT-specific parameters (“recruitment_alpha”, “recruitment_beta”) controlling yearly recruits (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mrow><mml:mtext>ind</mml:mtext><mml:mo>,</mml:mo><mml:mtext>rec</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) as a function of light availability (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mi>f</mml:mi><mml:mrow><mml:mtext>Pgap</mml:mtext><mml:mo>,</mml:mo><mml:mtext>trees</mml:mtext><mml:mo>,</mml:mo><mml:mtext>season</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, calculated as in <xref ref-type="bibr" rid="bib1.bibx67" id="altparen.65"/>) and stand density (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mtext>ind</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>):

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M97" display="block"><mml:mrow><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mrow><mml:mtext>ind</mml:mtext><mml:mo>,</mml:mo><mml:mtext>rec</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mtext>recruitment_alpha</mml:mtext><mml:mrow><mml:mo mathsize="2.0em">(</mml:mo><mml:mtable class="array" columnalign="center"><mml:mtr><mml:mtd><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>recruitment_beta</mml:mtext><mml:mo>⋅</mml:mo><mml:msup><mml:mi>d</mml:mi><mml:mtext>ind</mml:mtext></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msqrt><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>max⁡</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mi>f</mml:mi><mml:mrow><mml:mtext>Pgap</mml:mtext><mml:mo>,</mml:mo><mml:mtext>trees</mml:mtext><mml:mo>,</mml:mo><mml:mtext>season</mml:mtext></mml:mrow></mml:msup><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mtr></mml:mtable><mml:mo mathsize="2.0em">)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2461">We also reduced the prescribed height of recruits (“recruitment_height”) to introduce smaller saplings. Increased recruitment and self-thinning shifted stands towards smaller plants. Increased mortality emulates difficult Arctic growing conditions, and higher density emulates multi-stemmed shrub growth and maintains realistic biomass.</p>
</sec>
<sec id="Ch1.S2.SS2.SSSx3" specific-use="unnumbered">
  <title><italic>Carbon allocation</italic></title>
      <p id="d2e2472">Belowground biomass fraction was increased by decreasing “alloc_min” and “alloc_max”, reducing allocation to aboveground sapwood and investing more in belowground organs and coarse roots.</p>
      <p id="d2e2475">We increased the leaf-to-sapwood area ratio through the parameters “k_latosa_min”, “k_latosa_max”, to stabilise growth after biomass reductions, and reduced specific leaf area (SLA, the ratio of leaf surface area to mass) through “sla_init”, to control leaf area index (LAI).</p>
</sec>
<sec id="Ch1.S2.SS2.SSSx4" specific-use="unnumbered">
  <title><italic>Phenology</italic></title>
      <p id="d2e2486">For low deciduous shrubs, we advanced growing-season onset by recalibrating the offset parameter in the GDD–NCD phenology model. The GDD-NCD model calculates budburst as a function of growing degree days (GDD) and chilling days (NCD) <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx33 bib1.bibx73" id="paren.66"/>:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M98" display="block"><mml:mrow><mml:msup><mml:mtext>GDD</mml:mtext><mml:mtext>thres</mml:mtext></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mtext>gddncd_ref</mml:mtext><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mtext>gddncd_curve</mml:mtext><mml:mo>⋅</mml:mo><mml:mtext>NCD</mml:mtext></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mtext>gddncd_offset</mml:mtext><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mtext>GDD</mml:mtext><mml:mtext>thres</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> is the temperature-sum threshold for budburst, NCD is the number of chilling days accumulated over the chilling period, and “gddncd_ref”, “gddncd_curve” and “gddncd_offset” are model parameters. These parameters are not PFT-specific and were originally calibrated against satellite phenology data at global scale <xref ref-type="bibr" rid="bib1.bibx11" id="paren.67"/>, with the default values “gddncd_ref”: 964, “gddncd_curve”: 0.0058, “gddncd_offset”: 12.8. We increased “gddncd_offset” only for low deciduous shrubs, to lower the onset threshold and improve agreement of simulated growing season timing with shrub tundra observations.</p>
</sec>
<sec id="Ch1.S2.SS2.SSSx5" specific-use="unnumbered">
  <title><italic>Others</italic></title>
      <p id="d2e2548">For evergreen dwarf shrubs, originally based on a temperate tree PFT, we adapted key physiological parameters to reflect boreal conditions. Specifically, the reference temperature used to calculate critical leaf age (“leaf_age_crit_tref”) was reduced and nitrogen use efficiency was increased via the parameter “nue_opt”, to stabilise growth in nitrogen-limited high-latitude locations, in line with estimated values reported by <xref ref-type="bibr" rid="bib1.bibx44" id="text.68"/>. “nue_opt” represents the photosynthetic nitrogen use efficiency, defined as the carboxylation capacity at 25 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msubsup><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>) per leaf nitrogen content, based on <xref ref-type="bibr" rid="bib1.bibx44" id="text.69"/>, and is used for calculation of <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msubsup><mml:mi>V</mml:mi><mml:mo>max⁡</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> after accounting for sugar loading and leaf efficiency.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>Parameter optimisation (ORCHIDAS)</title>
      <p id="d2e2601">After identifying influential parameters and plausible ranges (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS3"/>), shrub PFT parameter values were formally optimised against the observational targets determined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS2"/> using the ORCHIDEE data assimilation system ORCHIDAS. ORCHIDAS is an optimisation framework developed at Laboratoire des Sciences du Climat et de l'Environment (LSCE) for the ORCHIDEE model (<xref ref-type="bibr" rid="bib1.bibx72" id="altparen.70"/>; see for example <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.71"/>). We used a random-based Monte Carlo approach (Genetic Algorithm (GA); <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.72"/>) to identify parameter sets that minimise a cost function <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> between model outputs (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and observational target ranges (<inline-formula><mml:math id="M105" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>). The observational targets (<inline-formula><mml:math id="M106" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>) included height, peak summer AGB, minimum fraction of belowground biomass, mean GPP, peak summer leaf area index, and age (ref. Table <xref ref-type="table" rid="TA4"/>). The cost function can be written as:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M107" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo mathsize="1.1em">[</mml:mo><mml:mo>(</mml:mo><mml:mi>Y</mml:mi><mml:mo>-</mml:mo><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="sans-serif">T</mml:mi></mml:msup><mml:msup><mml:mi>R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi>Y</mml:mi><mml:mo>-</mml:mo><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="sans-serif">T</mml:mi></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mi>B</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo mathsize="1.1em">]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            and it also measures the misfit between the parameter values <inline-formula><mml:math id="M108" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> and prior information on them, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Both mismatch terms are weighted by the prior error covariance matrices on observations <inline-formula><mml:math id="M110" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> and parameters <inline-formula><mml:math id="M111" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>, respectively <xref ref-type="bibr" rid="bib1.bibx72" id="paren.73"/>.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2822">Methodoloy used to include three shrub PFTs into the annual PFT maps for ORCHIDEE (1992–2020). Based on annual data by <xref ref-type="bibr" rid="bib1.bibx36" id="text.74"/>, supplemented with shrub cover from the Circumpolar Arctic Vegetation Map (CAVM; <xref ref-type="bibr" rid="bib1.bibx81" id="altparen.75"/>), and re-partitioned following functions derived from <xref ref-type="bibr" rid="bib1.bibx55" id="text.76"/> and <xref ref-type="bibr" rid="bib1.bibx56" id="text.77"/>. Different approaches taken for the Boreal and Tundra subregions.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f02.png"/>

          </fig>

      <p id="d2e2843">Similar to the sensitivity analysis, the optimisations were performed at grid cell level, mainly using the Toolik Lake grid cell. For each shrub PFT, a separate optimisation was performed, with prior best-guess parameter values and bounds derived from the initial sensitivity analyses. The GA was configured to use a population pool with at least 30 candidate parameter sets evolved over 30 generations following the principles of genetics and natural selection, and stopped after 30 iterations or when the cost function stabilised, which gives around 30 <inline-formula><mml:math id="M112" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M113" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 900 independent model evaluations across each optimisation run. Further details on the optimisation setup can be found in the appendix (Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS4"/>).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Prescribed vegetation distributions (PFT maps)</title>
      <p id="d2e2872">In ORCHIDEE r9269, the spatial occurrence of PFTs is prescribed annually through PFT maps, derived from ESA CCI satellite-based land cover products (1992–2020) <xref ref-type="bibr" rid="bib1.bibx36" id="paren.78"/>. Prior to the implementation of shrub PFTs in ORCHIDEE, the high-latitude shrub cover in <xref ref-type="bibr" rid="bib1.bibx36" id="text.79"/> was redistributed at grid cell level to boreal tree PFTs (80 %) and boreal grass (20 %), resulting in biased model outputs over the high-latitude region. We updated ORCHIDEE PFT maps to include three high-latitude shrub PFTs by combining multiple mapping products and applying simple partitioning rules (see Fig. <xref ref-type="fig" rid="F2"/>).</p>
      <p id="d2e2883">In a first processing step, the total shrub cover was set, based on <xref ref-type="bibr" rid="bib1.bibx36" id="text.80"/> shrub cover. Since the high-latitude shrub mapping in <xref ref-type="bibr" rid="bib1.bibx36" id="text.81"/> has known caveats, including a general underestimation of shrub cover in the Arctic due to methodological constraints <xref ref-type="bibr" rid="bib1.bibx36" id="paren.82"/>, we supplemented it with shrub cover from the Circumpolar Arctic Vegetation Map (CAVM) <xref ref-type="bibr" rid="bib1.bibx81" id="paren.83"/> in the Arctic tundra region. Where shrub cover on the Circumpolar Arctic Vegetation Map exceeded shrub cover on <xref ref-type="bibr" rid="bib1.bibx36" id="text.84"/>, the shrub fraction was increased at the expense of boreal grass.</p>
      <p id="d2e2901">Subsequent processing steps partitioned the total shrub fraction into deciduous and evergreen shrubs. Within the CAVM domain (Arctic tundra), we mapped CAVM shrub classes to ORCHIDEE shrub PFTs as follows: P1 and P2 (prostrate shrub tundra) and S1 (erect dwarf shrub tundra) were assigned to evergreen dwarf shrubs (PFT 18), while S2 (low shrub tundra) was assigned to deciduous shrubs (PFTs 16 and 17). To avoid discontinuities introduced by the dominant-class mapping approach in CAVM, we gap-filled the deciduous fraction using a latitude-dependent relationship. The fraction of deciduous shrubs of total shrub cover, <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:msub><mml:mtext>ds</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, was derived from a linear regression of the fraction of S2 to total CAVM shrub cover between 59 and 74° N:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M115" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:msub><mml:mtext>ds</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable rowspacing="0.2ex" columnspacing="1em" class="cases" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0106</mml:mn><mml:mo>×</mml:mo><mml:mtext>lat</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.904</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>if S2</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>S2</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mtext>if S2</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is latitude in degrees north and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the deciduous shrub fraction derived directly from mapped S2 cover.</p>
      <p id="d2e3007">South of the CAVM domain, shrub cover was prescribed by combining the four shrub types that are mapped in <xref ref-type="bibr" rid="bib1.bibx36" id="text.85"/> and redistributing the total shrub fraction between deciduous and evergreen shrubs, to correct the unequal distribution of shrub types in <xref ref-type="bibr" rid="bib1.bibx36" id="text.86"/>. The deciduous shrub fraction south of the CAVM domain, <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:msub><mml:mtext>ds</mml:mtext><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, was set to approximately 70 %, increasing over time to reflect observed shrubification trends, using a relationship derived from <xref ref-type="bibr" rid="bib1.bibx56" id="text.87"/>:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M119" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:msub><mml:mtext>ds</mml:mtext><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6879</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.000405</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mtext>year-1992</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e3065">In the final processing step, deciduous shrubs were further partitioned by their height. Across the entire Arctic–Boreal domain, deciduous shrubs were divided between tall deciduous shrubs (PFT 16) and low deciduous shrubs (PFT 17) as a function of latitude to represent decreasing shrub height with increasing latitude <xref ref-type="bibr" rid="bib1.bibx75" id="paren.88"/>. Latitude itself is not a driver of shrub height but was used as a proxy for growing season length and summer temperatures which correlate well with vegetation height <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx64" id="paren.89"/>. We used <xref ref-type="bibr" rid="bib1.bibx55" id="text.90"/> data, which map tall (<inline-formula><mml:math id="M120" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and low deciduous shrubs (0.2–1.5 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) in Arctic Alaska, aggregated the mapped region in 0.2°-wide latitudinal bands, and derived a linear relationship for the tall-shrub fraction of deciduous shrub cover, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>tds</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, from 12.48 % at 68.6° N to 7.47 % at 70.2° N:

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M124" display="block"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>tds</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03125</mml:mn><mml:mo>×</mml:mo><mml:mtext>lat</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.26845</mml:mn></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e3136">Values were clipped to [<inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>], implying a northern limit for tall shrubs where the function reaches zero.</p>
      <p id="d2e3151">Finally, all PFT fractions were normalized to ensure their sum is equal to 1.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Model evaluation</title>
<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>High-latitude model simulations</title>
      <p id="d2e3169">To evaluate the new shrub PFTs and their impact on high-latitude carbon cycling, we ran regional simulations north of 50° N at 2°<inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>2° spatial resolution. Like the site-level simulations (Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS2"/>), the model was spun up for 340 years using cyclical 1901–1920 CRU JRA v2.4 forcing <xref ref-type="bibr" rid="bib1.bibx94" id="paren.91"/>, but followed by a transient simulation for 1861–1900 with increasing atmospheric <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations. Subsequently, the TRENDY protocol <xref ref-type="bibr" rid="bib1.bibx88" id="paren.92"/> was used to set-up a historical simulation for 1900–2020 forced by CRU JRA v2.4. From 1992, vegetation fractions were prescribed annually using PFT maps. For the simulation years before 1992, vegetation was set constant to the 1992 distribution. We ran a baseline simulation with ORCHIDEE r9269 with 15 PFTs and the default ORCHIDEE PFT maps (ORCHIDEE-15), as well as a simulation including the new shrub PFTs (ORCHIDEE-18), with the updated PFT maps (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>), but otherwise identical settings. The simulated years 1992–2020 were used for model evaluation.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>High-latitude benchmarking data</title>
      <p id="d2e3209">The outputs of the regional simulations were evaluated against high-latitude data products to benchmark aboveground biomass and gross primary productivity. The evaluation was limited to the Arctic and Boreal (Arctic–Boreal) region, defined like the BAWLD (Boreal-Arctic Wetland and Lake Dataset) domain in <xref ref-type="bibr" rid="bib1.bibx70" id="text.93"/>. This domain was subdivided into boreal and tundra zones following <xref ref-type="bibr" rid="bib1.bibx20" id="text.94"/> for refined evaluation (see Fig. <xref ref-type="fig" rid="F1"/>).</p>
      <p id="d2e3220">Simulated aboveground biomass across the Arctic–Boreal region was evaluated against two field- and satellite-based data products, by <xref ref-type="bibr" rid="bib1.bibx89" id="text.95"/> for 2010 and <xref ref-type="bibr" rid="bib1.bibx51" id="text.96"/> for 1993–2012, remapped and converted to the 2° <inline-formula><mml:math id="M128" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2° resolution used for the ORCHIDEE simulations using conservative remapping. Due to data availability <xref ref-type="bibr" rid="bib1.bibx89" id="paren.97"/>, 2010 was used as an example year for evaluation.</p>
      <p id="d2e3239">To ensure a robust evaluation of regional GPP, we benchmarked our simulations against an ensemble of three independent data-based products, all remapped to the ORCHIDEE grid. These were deliberately chosen to represent distinct methodological approaches: (1) the FLUXCOM product <xref ref-type="bibr" rid="bib1.bibx43" id="paren.98"/>, representing a machine-learning approach that upscales FLUXNET eddy-covariance observations using remote-sensing and meteorological predictors; (2) the <xref ref-type="bibr" rid="bib1.bibx97" id="text.99"/> dataset, representing a statistical modelling approach to upscale synthesised <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux data; and (3) CARDAMOM <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx53" id="paren.100"/>, representing a model-data-fusion approach that assimilates remote sensing and gridded datasets into a structurally simple ecosystem carbon model, allowing for observation-constrained parameter retrieval. By utilising this structurally diverse ensemble, we mitigate the risk of evaluating our model against the biases or scaling assumptions inherent to any single upscaling method.</p>

<table-wrap id="T4" specific-use="star" orientation="landscape"><label>Table 4</label><caption><p id="d2e3266">Selected PFT-specific model parameters, their function in ORCHIDEE, original values in the underlying forest PFTs and recalibrated values for the new shrub PFTs. The given values are the final values after parameter optimisation, except the parameter values marked with an asterisk, which were set manually. “–” indicates that a parameter value was not changed from the baseline. PFT 8, 16 and 17 are all based on metaclass (MTC) 8, while PFT 5 and 18 are based on MTC 5. All PFT-specific parameters not listed here were kept at the same values for shrub PFTs as in the underlying forest PFTs (8 and 5, for deciduous and evergreen, respectively).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="98mm"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">Function/Control on</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">PFT 8</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">PFT 16</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">PFT 17</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">PFT 5</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">PFT 18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Boreal</oasis:entry>
         <oasis:entry colname="col4">Tall</oasis:entry>
         <oasis:entry colname="col5">Low</oasis:entry>
         <oasis:entry colname="col6">Temperate</oasis:entry>
         <oasis:entry colname="col7">Evergreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">summergreen</oasis:entry>
         <oasis:entry colname="col4">deciduous</oasis:entry>
         <oasis:entry colname="col5">deciduous</oasis:entry>
         <oasis:entry colname="col6">evergreen</oasis:entry>
         <oasis:entry colname="col7">dwarf</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">forest</oasis:entry>
         <oasis:entry colname="col4">shrubs</oasis:entry>
         <oasis:entry colname="col5">shrubs</oasis:entry>
         <oasis:entry colname="col6">forest</oasis:entry>
         <oasis:entry colname="col7">shrubs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry namest="col3" nameend="col5" align="center">MTC 8 </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center">MTC 5 </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>PIPE_TUNE2</italic></oasis:entry>
         <oasis:entry colname="col2">Plant height at 1 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> diameter [<inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">30</oasis:entry>
         <oasis:entry colname="col4">6.6</oasis:entry>
         <oasis:entry colname="col5">3.4</oasis:entry>
         <oasis:entry colname="col6">14</oasis:entry>
         <oasis:entry colname="col7">2.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>QMD_INIT</italic></oasis:entry>
         <oasis:entry colname="col2">Minimum diameter of saplings at establishment [<inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">0.025</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">0.02<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col6">0.025</oasis:entry>
         <oasis:entry colname="col7">0.005<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1"><italic>ALPHA_SELF_THINNING</italic></oasis:entry>
         <oasis:entry colname="col2">Coefficient of the self-thinning relationship, controlling the max. number of <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">trees</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for a given diameter</oasis:entry>
         <oasis:entry colname="col3">770</oasis:entry>
         <oasis:entry colname="col4">803</oasis:entry>
         <oasis:entry colname="col5">995</oasis:entry>
         <oasis:entry colname="col6">2430</oasis:entry>
         <oasis:entry colname="col7">2169</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>REF_ALPHA_SELF_THIN</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">1000</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">1300</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>RECRUITMENT_BETA</italic></oasis:entry>
         <oasis:entry colname="col2">Coefficients of recruitment based on light and density</oasis:entry>
         <oasis:entry colname="col3">1000</oasis:entry>
         <oasis:entry colname="col4">43</oasis:entry>
         <oasis:entry colname="col5">11.5</oasis:entry>
         <oasis:entry colname="col6">1000</oasis:entry>
         <oasis:entry colname="col7">0.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>RECRUITMENT_ALPHA</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.01</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.01</oasis:entry>
         <oasis:entry colname="col7">0.05</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>RECRUITMENT_HEIGHT</italic></oasis:entry>
         <oasis:entry colname="col2">Height of stems added through recruitment [<inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">1.0</oasis:entry>
         <oasis:entry colname="col4">0.4</oasis:entry>
         <oasis:entry colname="col5">0.15</oasis:entry>
         <oasis:entry colname="col6">1.0</oasis:entry>
         <oasis:entry colname="col7">0.05<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>ALLOC_MIN</italic></oasis:entry>
         <oasis:entry colname="col2">Min./Max. fraction of sapwood allocated aboveground</oasis:entry>
         <oasis:entry colname="col3">0.7</oasis:entry>
         <oasis:entry colname="col4">0.2</oasis:entry>
         <oasis:entry colname="col5">0.1</oasis:entry>
         <oasis:entry colname="col6">0.2</oasis:entry>
         <oasis:entry colname="col7">0.1<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>ALLOC_MAX</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.8</oasis:entry>
         <oasis:entry colname="col4">0.22</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">0.8</oasis:entry>
         <oasis:entry colname="col7">0.12</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>K_LATOSA_MIN</italic></oasis:entry>
         <oasis:entry colname="col2">Min./Max. leaf-to-sapwood area ratio</oasis:entry>
         <oasis:entry colname="col3">13 000</oasis:entry>
         <oasis:entry colname="col4">18 040</oasis:entry>
         <oasis:entry colname="col5">16 760</oasis:entry>
         <oasis:entry colname="col6">2800</oasis:entry>
         <oasis:entry colname="col7">3529</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>K_LATOSA_MAX</italic></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">19 800</oasis:entry>
         <oasis:entry colname="col4">34 493</oasis:entry>
         <oasis:entry colname="col5">30 118</oasis:entry>
         <oasis:entry colname="col6">5800</oasis:entry>
         <oasis:entry colname="col7">5258</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>SLAINIT</italic></oasis:entry>
         <oasis:entry colname="col2">Specific leaf area [<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">0.0682</oasis:entry>
         <oasis:entry colname="col4">0.04541</oasis:entry>
         <oasis:entry colname="col5">0.06509</oasis:entry>
         <oasis:entry colname="col6">0.03604</oasis:entry>
         <oasis:entry colname="col7">0.03667</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>GDDNCD_OFFSET</italic></oasis:entry>
         <oasis:entry colname="col2">Coefficient of the function balancing growing-degree-days and chilling daysnecessary for budbreak</oasis:entry>
         <oasis:entry colname="col3">12.8</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">250<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>NUE_OPT</italic></oasis:entry>
         <oasis:entry colname="col2">Nitrogen use efficiency of Vcmax [(<inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (<inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">N</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">leaf</mml:mi><mml:mo>]</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">45</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">18.88</oasis:entry>
         <oasis:entry colname="col7">30<sup>∗</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>LEAF_AGE_CRIT_TREF</italic></oasis:entry>
         <oasis:entry colname="col2">Reference temp to calculate critical leaf age [<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">5<sup>∗</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e3979">Simulated shrub structural attributes and biomass allocation for ORCHIDEE shrub plant functional types across the Arctic–Boreal region given as median (interquartile range) (1992–2020).</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"/>
         <oasis:entry colname="col2">PFT 16</oasis:entry>
         <oasis:entry colname="col3">PFT 17</oasis:entry>
         <oasis:entry colname="col4">PFT 18</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Tall deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3">Low deciduous shrubs</oasis:entry>
         <oasis:entry colname="col4">Evergreen dwarf shrubs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Height [<inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">1.37 (1.33–1.40)</oasis:entry>
         <oasis:entry colname="col3">0.47 (0.46–0.48)</oasis:entry>
         <oasis:entry colname="col4">0.23 (0.23–0.24)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Basal diameter [<inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">4.84 (4.61–5.05)</oasis:entry>
         <oasis:entry colname="col3">2.23 (2.17–2.29)</oasis:entry>
         <oasis:entry colname="col4">0.47 (0.44–0.51)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Aboveground biomass [<inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">420.48 (335.80–535.56)</oasis:entry>
         <oasis:entry colname="col3">183.74 (154.97–224.14)</oasis:entry>
         <oasis:entry colname="col4">126.77 (105.03–147.30)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fraction of belowground biomass [%]</oasis:entry>
         <oasis:entry colname="col2">65.44 (59.60–68.63)</oasis:entry>
         <oasis:entry colname="col3">65.78 (59.99–68.14)</oasis:entry>
         <oasis:entry colname="col4">63.86 (62.58–65.14)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e4127">Simulated (green, ORCHIDEE-18, 1992–2020) and observed (light brown, <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.101"/>) aboveground biomass for three shrub PFTs across the  Arctic–Boreal region. Observed biomass from <xref ref-type="bibr" rid="bib1.bibx8" id="text.102"/> was filtered to match the ORCHIDEE shrub PFT classification. Numbers in parentheses indicate the number of field sites included after filtering. Boxplots show median (center line), interquartile range (boxes) and whiskers extend to the farthest data point lying within 1.5<inline-formula><mml:math id="M149" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> the interquartile range. A complete visualisation including outliers is shown in Fig. <xref ref-type="fig" rid="FB1"/>.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f03.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Evaluation of shrub PFTs compared to field observations</title>
      <p id="d2e4168">Introducing three shrub PFTs and optimising key parameters against observational targets produced shrub stands with realistic structure and allocation dynamics across the Arctic–Boreal region. Up to 14 parameters were re-calibrated per shrub PFT to capture their growth form and carbon allocation. Table <xref ref-type="table" rid="T4"/> summarises the optimised parameters and their values for the baseline tree PFTs and the new shrub PFTs after optimisation. The parameters with the highest change from tree PFTs include the controls on plant size, both directly (<italic>PIPE_TUNE2</italic>, up to 89 % reduction) and indirectly via recruitment (<italic>RECRUITMENT_BETA</italic>, up to 100 % reduction), which were significantly decreased to capture the difference in stature between tree and shrub PFTs.</p>
      <p id="d2e4179">The simulated shrub characteristics (Table <xref ref-type="table" rid="T5"/>) fall within the range determined from reported in situ field observations (see Table <xref ref-type="table" rid="T1"/>). For instance, median heights (1992–2020) are: 1.37 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (tall deciduous), 0.47 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (low deciduous) and 0.23 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (evergreen dwarf), and basal diameters 4.84 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> (tall deciduous), 2.23 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> (low deciduous) and 0.47 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> (evergreen dwarf), closely matching the literature-based aims established for the shrub PFTs. For all three shrub PFTs, a fraction of <inline-formula><mml:math id="M156" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 64 %–66 % is allocated to belowground biomass, in line with ecological knowledge (Table <xref ref-type="table" rid="T5"/>). Overall, our estimates provide a physically plausible shrub baseline for evaluating high-latitude carbon stocks and flux dynamics in regional simulations.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Aboveground biomass</title>
      <p id="d2e4251">Simulated aboveground biomass differs between shrub PFTs, and closely aligns with <xref ref-type="bibr" rid="bib1.bibx8" id="text.103"/> observations (Fig. <xref ref-type="fig" rid="F3"/>). Tall deciduous shrubs in ORCHIDEE (median (IQR): 420.48 (335.8–535.6) <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) fall within the range of measured AGB at sites dominated by tall willow or alder shrubs (583.50 (325.2–671.3) <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Simulated low deciduous shrubs (183.74 (155.0–224.1) <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) closely match observations at dwarf birch-dominated sites (219.50 (130.4–478.6) <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Modelled evergreen dwarf shrubs show similarly low AGB (126.77 (105.0–147.3) <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) as observed at field sites dominated by evergreen dwarf shrubs species (131.25 (73.8–217.5) <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). For each shrub type, observed variability from <xref ref-type="bibr" rid="bib1.bibx8" id="text.104"/> is larger than simulated, which is expected both because of the limited information available to accurately filter the observational data, and the limitations of model PFTs to fully represent observed heterogeneity.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e4385">Observed (black) <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at six shrub-tundra EC sites and simulated (color) shrub <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at four ORCHIDEE grid cells (columns, where the coordinates above the figures represent the centre of the 2° <inline-formula><mml:math id="M165" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2° grid cells). Rows represent <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes: gross primary productivity (GPP), ecosystem respiration (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and net ecosystem exchange (NEE). Negative values indicate uptake of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the atmosphere by the vegetation, while positive values denote release. Shown is the average seasonal cycle and standard deviation (shading) in daily resolution, smoothed with a 10 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running mean. Goodness of fit is measured with root mean square error normalised by amplitude (nRMSE). Last row: annual sum of GPP simulated for all high-latitude PFTs in ORCHIDEE (green) and observed at the EC sites (brown). Note that where two EC sites are located in one ORCHIDEE grid cell, the observed fluxes shown represent different time frames and the ORCHIDEE fluxes are shown for the combined time frame.</p></caption>
            <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Carbon fluxes</title>
      <p id="d2e4473">Comparing simulated seasonal cycles of <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to eddy-covariance observations at six shrub-tundra sites shows that the evergreen dwarf shrub PFT (PFT 18) best matches the observed fluxes, the low deciduous shrub PFT (PFT 17) scores reasonably well, and the tall deciduous shrub PFT (PFT 16) overestimates fluxes and mismatches timing (Fig. <xref ref-type="fig" rid="F4"/>). This is in line with the vegetation descriptions of the EC sites pointing to dominance of low and dwarf shrubs. Modelled biases from gross primary productivity (GPP) and ecosystem respiration (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) propagate into simulated net ecosystem exchange (NEE), causing the largest mismatch in net carbon balance at some sites, while cancelling each other out at others. Despite their limitations to fully reproduce the observed seasonal cycle of <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, the shrub PFTs capture total annual GPP significantly better than the baseline high-latitude tree and grass PFTs (Fig. <xref ref-type="fig" rid="F4"/>, see annual GPP). The diurnal and seasonal EC data were not used in the sensitivity test or the optimisation, making this a true data-model evaluation.</p>
      <p id="d2e4513">In terms of plant productivity (GPP), both the low deciduous (PFT 17) and evergreen dwarf shrub (PFT 18) PFTs capture the observed timing and magnitude of the average annual cycle reasonably well at all three sites (nRMSE: 0.15–0.36 (PFT 18); 0.21–0.42 (PFT 17)), while the tall deciduous shrub PFT (PFT 16) delays growing season onset and overestimates peak growing-season uptake substantially (nRMSE 0.34–0.81) (Fig. <xref ref-type="fig" rid="F4"/>). A consistent mismatch across the three shrub PFTs is the overly abrupt spring onset of GPP, not matching the slow onset suggested by the field observations. In particular, the deciduous shrub PFTs experience a rapid increase in photosynthetic activity at the onset of the growing season – a behavior that can be traced to model functionality where leaf onset for deciduous PFTs occurs within one single day. As a consequence of the rapid onset, simulated GPP of PFT 17 and 18 peaks slightly earlier in the growing season than observed. The magnitude of peak <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uptake is matched realistically by PFT 18 at five out of six sites, while the low and especially the tall deciduous shrubs overestimate peak GPP.</p>
      <p id="d2e4526">For our specific modelling purposes in this paper, more urgent than matching timing and magnitude, is to correctly reproduce total annual carbon uptake. Annual sums are best reproduced by the low deciduous and dwarf evergreen shrub PFTs, whereas boreal trees, grasses and tall shrub PFTs tend to overestimate GPP, and underestimate it outside of their optimal growth range (Fig. <xref ref-type="fig" rid="F4"/>, last row). Over the entire tundra region, median (IQR) annual GPP (1992–2020) is 587 (414–791) <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PFT 16, 453 (357–561) <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PFT 17 and 321 (233–403) <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for PFT 18; the latter matching the 336 (209–413) <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> estimated at the six EC flux sites best.</p>
      <p id="d2e4647">With respect to respiratory loses (<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), the dwarf evergreen shrub PFT shows the best fits across sites (nRMSE: 0.12–0.30), whereas both deciduous shrub PFTs overestimate growing-season respiration, reflected in higher nRMSE values (0.17–0.74 (PFT 17), 0.29–0.94 (PFT 16); Fig. <xref ref-type="fig" rid="F4"/>). This can likely be attributed to overestimated maintenance respiration, while the simulated heterotrophic respiration outside of the growing season matches the observations well (cf. Fig. <xref ref-type="fig" rid="FB2"/>).</p>
      <p id="d2e4666">In ORCHIDEE, NEE reflects the net balance between GPP and <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, so biases in both gross fluxes propagate into NEE (Fig. <xref ref-type="fig" rid="F4"/>). As a result of the underestimation of spring-time GPP, the shrub PFTs simulate weaker net <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uptake than observed early in the year. The observed growing season NEE is matched well by the simulated evergreen dwarf shrubs in terms of magnitude, but the timing is shifted, with too early onset and end (nRMSE values of 0.19–0.38). For both deciduous shrub PFTs, the fit between simulated and observed NEE is less optimal (PFT 17: 0.22–0.45; PFT 16: 0.30–0.76). Both overestimate peak <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> uptake compared to four out of six site observations and misrepresent the seasonal pattern by simulating two peaks during the growing season. The first peak results from the strong onset of GPP, while the second arises from an abrupt decline in (maintenance) respiration at the end of the growing season. Due to the strong fluctuations and the underestimation of carbon uptake (GPP) outside of the growing season, the simulated total annual NEE is close to neutral for the shrub PFTs at all four grid cells (between -29 and 40 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while the observed annual NEE shows a larger variation, from 197 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at RU-Vrk (denoting net loss of <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the atmosphere) to -142 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at RU-Cok (cf. Fig. <xref ref-type="fig" rid="FB3"/>).</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Updated vegetation distribution</title>
      <p id="d2e4808">The updated PFT maps used in this study allocate on average 9.9 % (2.14 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of the Arctic–Boreal study area <inline-formula><mml:math id="M187" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 50° N (<inline-formula><mml:math id="M188" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 21.75 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) to the three shrub PFTs during the 1992–2020 period. 1.26 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M191" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 5.8 % of the land area analysed) were allocated on average to evergreen dwarf shrub cover, 0.64 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M193" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 3 %) to low deciduous shrub cover, and 0.25 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">Mkm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M195" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.1 %) to tall deciduous shrubs. Introducing explicit shrub PFTs prevented the reassignment of shrub fractional cover to boreal tree and grass PFTs in ORCHIDEE PFT maps, thereby removing erroneously prescribed forest cover in tundra regions, and established the spatial baseline for subsequent changes in simulated carbon stocks and fluxes.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e4904">Change in fractional cover of high-latitude PFTs in ORCHIDEE after the introduction of three shrub PFTs. Bottom row: Fractional cover of the three new shrub PFTs. Maps are based on the vegetation distribution in 2010. Numbers indicate respective total PFT cover over the study area in 2010.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f05.png"/>

        </fig>

      <p id="d2e4913">Tall deciduous shrubs are located sparsely across the Arctic–Boreal region but are most abundant across the southern latitudes, with hotspots in southwestern Alaska and western Siberia (Fig. <xref ref-type="fig" rid="F5"/>). While low deciduous shrubs display a similar spatial pattern, evergreen dwarf shrubs dominate further north and are widespread across Arctic tundra regions, reaching up to 67 % fractional vegetation cover in individual grid cells. Boreal tree and grass cover classes have been reduced compared to the baseline ORCHIDEE-15 PFT simulation, and are no longer prescribed in place of shrub tundra (Fig. <xref ref-type="fig" rid="F5"/>).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4923">Simulated and observation-based pan-Arctic aboveground biomass. <bold>(a)</bold> Simulated and observation-based (from <xref ref-type="bibr" rid="bib1.bibx89" id="text.105"/> and <xref ref-type="bibr" rid="bib1.bibx51" id="altparen.106"/>) total pan-Arctic AGB in 2010. Difference maps between ORCHIDEE with 18 PFTs and the previous (ORCHIDEE-15PFT) model version, as well as the observation-based products. Hatching indicates agreement with <xref ref-type="bibr" rid="bib1.bibx89" id="text.107"/> standard error interval. Numbers indicate total AGB across the region (top row), and total difference (bottom row). <bold>(b)</bold> Simulated (blue/green) and observed (brown) total pan-Arctic AGB 1992–2020.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>High-latitude aboveground biomass </title>
      <p id="d2e4955">Across the Arctic–Boreal region, adding shrub PFTs with realistic biomass reduced the overestimation of AGB previously caused by prescribing boreal forest in shrub-dominated landscapes. Our simulations bring simulated carbon stocks into the range of observation-based estimates and improve the spatial agreement of biomass patterns compared to two independent AGB datasets (Fig. <xref ref-type="fig" rid="F6"/>).</p>
      <p id="d2e4960">The combination of implemented shrub PFTs with a new PFT map has reduced the simulated aboveground biomass by 13.5 % from 54 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ORCHIDEE-15 to 46.7 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ORCHIDEE-18 over the entire high-latitude region (1992–2020), now falling into the range of 34.3 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16.1 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> estimated by <xref ref-type="bibr" rid="bib1.bibx89" id="text.108"/> for 2010, and closely matching the 45.2 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> estimate by <xref ref-type="bibr" rid="bib1.bibx51" id="text.109"/> for 1993–2012 (cf. to 53.1 and 45.8 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for ORCHIDEE-15 and -18, respectively, for 1993–2012). Simulated AGB consistently increases over the historical time period, but the trend is slightly higher than estimated by <xref ref-type="bibr" rid="bib1.bibx51" id="text.110"/> (Fig. <xref ref-type="fig" rid="F6"/>b). Spatially, agreement with <xref ref-type="bibr" rid="bib1.bibx89" id="text.111"/> improved in 2010 to 633 out of 989 land grid cells, corresponding to 56.9 % of the domain, falling within one standard error, compared to 479 out of 989 land grid cells (42.9 % of the area) for ORCHIDEE-15 (see Figs. <xref ref-type="fig" rid="F6"/>a and <xref ref-type="fig" rid="FB4"/>). The biomass reductions are largest in western Siberia and southwestern Alaska (see Fig. <xref ref-type="fig" rid="F6"/>a), identical to the two areas with largest replacement of boreal forest with shrub cover (cf. Fig. <xref ref-type="fig" rid="F5"/>). Thus, the reduction in estimated AGB is stronger if considering the tundra region separately, with 34.8 %, from 4.6 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ORCHIDEE-15 to 3 <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in ORCHIDEE-18 (1992–2020), now falling between the estimates by <xref ref-type="bibr" rid="bib1.bibx89" id="text.112"/> (2.8 <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in 2010) and <xref ref-type="bibr" rid="bib1.bibx51" id="text.113"/> (4 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> 1993–2012). Overall, adding shrub PFTs to ORCHIDEE reduces the bias in tundra carbon stocks and significantly increases model agreement with benchmarking data.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e5109">Average annual GPP across the Arctic–Boreal region. <bold>(a)</bold> Distribution in ORCHIDEE-18 and different upscaled (<xref ref-type="bibr" rid="bib1.bibx97" id="text.114"/>; FLUXCOM <xref ref-type="bibr" rid="bib1.bibx43" id="paren.115"/>) and data-constrained (CARDAMOM <xref ref-type="bibr" rid="bib1.bibx39" id="paren.116"/>) products, as well as difference maps with ORCHIDEE baseline and data-based products, in 2010. Numbers indicate area-weighted mean annual GPP across the region (top row), and total difference (bottom row). <bold>(b)</bold> Simulations (blue/green) and upscaled/data-constrained estimates (brown) of average annual GPP over the boreal and arctic region.(<xref ref-type="bibr" rid="bib1.bibx97" id="text.117"/>: area-weighted mean of ensemble median of upscaled estimates (1992–2015); FLUXCOM: area-weighted mean and mean absolute derivation (2001–2015), CARDAMOM: area-weighted mean of model median and 95 % confidence interval (2001–2019)).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>High-latitude carbon fluxes</title>
      <p id="d2e5145">Mean annual GPP across the Arctic–Boreal region (1992–2020) is reduced by 3.4 %, from 498 to 481 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> through the introduction of shrub PFTs, moving simulations toward the FLUXCOM estimate from upscaled flux observations (<xref ref-type="bibr" rid="bib1.bibx43" id="text.118"/>: 350 <inline-formula><mml:math id="M208" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 50.7 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (mean <inline-formula><mml:math id="M210" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> mean absolute derivation, 2001–2015); cf. to ORCHIDEE-18 (2001–2015): 490 <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and an estimate using the data-constrained data-assimilation framework CARDAMOM (<xref ref-type="bibr" rid="bib1.bibx39" id="text.119"/>: 407 (388–426) <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (weighted mean (95 % CI), 2001–2019); cf. to ORCHIDEE-18 (2001–2019): 491 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="F7"/>b). Conversely, the upscaled <xref ref-type="bibr" rid="bib1.bibx97" id="text.120"/> estimate is closer to the higher GPP estimation from ORCHIDEE-15 (512 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Virkkala, mean 1992–2015); cf. to 495 and 478 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (ORCHIDEE-15 and ORCHIDEE-18 1992–2015, respectively)). However, this high region average masks a spatially heterogeneous estimate by <xref ref-type="bibr" rid="bib1.bibx97" id="text.121"/>, supporting the higher ORCHIDEE-15 estimate over some parts of the domain, and the lower ORCHIDEE-18 estimate over others. Spatially, all three data-based products agree that ORCHIDEE overestimates GPP over most of the Eurasian side of the domain (cf. difference maps in Fig. <xref ref-type="fig" rid="F7"/>a). On the North American side, the difference is more heterogeneous and varies between the data products. FLUXCOM and CARDAMOM point to an overestimation in the higher latitudes and an underestimation at the southern edge of the domain, while the <xref ref-type="bibr" rid="bib1.bibx97" id="text.122"/> estimate indicates that ORCHIDEE underestimates GPP across Canada and Alaska. Compared to the baseline ORCHIDEE version, GPP was reduced primarily in the tundra region, concentrated largely in the areas with high evergreen dwarf shrub cover (ORCHIDEE-18–ORCHIDEE-15 difference map in Fig. <xref ref-type="fig" rid="F7"/>a; cf. Fig <xref ref-type="fig" rid="F5"/>).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e5393">Simulated (blue/green) and upscaled/data-constrained (brown; <xref ref-type="bibr" rid="bib1.bibx97 bib1.bibx43 bib1.bibx39" id="altparen.123"/>) average annual GPP, like in Fig. <xref ref-type="fig" rid="F7"/>b, but only for the Arctic tundra region.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f08.png"/>

        </fig>

      <p id="d2e5407">Consequently, a separate evaluation of the tundra region shows a stronger improvement, with a 13.5 % reduction in mean annual GPP from 334 (ORCHIDEE-15) to 289 (ORCHIDEE-18) <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (1992–2020) and a closer yet imperfect agreement with FLUXCOM and CARDAMOM benchmarking data (FLUXCOM: 171 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 45 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; CARDAMOM: 215 (201–231) <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while the <xref ref-type="bibr" rid="bib1.bibx97" id="text.124"/> estimate points to an underestimation (364 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="F8"/>).</p>
      <p id="d2e5540">Overall, including shrubs reduced total Arctic–Boreal GPP, even more so in the tundra region, and improved agreement with 2out of 3 data-based evaluation products.</p>

<table-wrap id="T6" specific-use="star"><label>Table 6</label><caption><p id="d2e5546">Overview of high-latitude shrub PFTs in selected land models of ESMs. Parentheses indicate shrub PFTs explicitly designed for outside of the high-latitude region. Information on shrub PFT height thresholds is indicated in parentheses where known.</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">LSM</oasis:entry>
         <oasis:entry colname="col2">Shrub PFTs</oasis:entry>
         <oasis:entry colname="col3">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">CABLE2.4</oasis:entry>
         <oasis:entry colname="col2">Shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx37" id="text.125"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">JSBACH3.2</oasis:entry>
         <oasis:entry colname="col2">Deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx82" id="text.126"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(Raingreen shrubs)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">JULES4.6</oasis:entry>
         <oasis:entry colname="col2">Deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx35" id="text.127"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Evergreen shrubs</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CLASSIC</oasis:entry>
         <oasis:entry colname="col2">Cold broadleaf evergreen shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx61" id="text.128"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cold broadleaf deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CLM5</oasis:entry>
         <oasis:entry colname="col2">Boreal broadleaf deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx50" id="text.129"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(Temperate broadleaf deciduous shrubs)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(Temperate broadleaf evergreen shrubs)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">CLM-FATES</oasis:entry>
         <oasis:entry colname="col2">Ongoing work: Dwarf shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx84" id="text.130"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LPJ-GUESS</oasis:entry>
         <oasis:entry colname="col2">Tall deciduous shrubs (<inline-formula><mml:math id="M221" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx107" id="text.131"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Tall evergreen shrubs (<inline-formula><mml:math id="M223" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Low deciduous shrubs (<inline-formula><mml:math id="M225" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Low evergreen shrubs (<inline-formula><mml:math id="M227" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Prostrate dwarf shrub tundra</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ELM</oasis:entry>
         <oasis:entry colname="col2">Alder shrubs</oasis:entry>
         <oasis:entry colname="col3">
                    <xref ref-type="bibr" rid="bib1.bibx90" id="text.132"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Deciduous low to tall shrubs (up to <inline-formula><mml:math id="M229" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Deciduous low shrubs (0.4–2 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Deciduous dwarf shrubs (<inline-formula><mml:math id="M232" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.4 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Evergreen dwarf shrubs (<inline-formula><mml:math id="M234" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.4 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ORCHIDEE</oasis:entry>
         <oasis:entry colname="col2">Tall broadleaf deciduous shrubs (<inline-formula><mml:math id="M236" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Current work</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Low broadleaf deciduous shrubs (<inline-formula><mml:math id="M238" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dwarf broadleaf evergreen shrubs (<inline-formula><mml:math id="M240" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Shrub PFT classification and parameterisation</title>
      <p id="d2e6038">The new ORCHIDEE shrub PFT classification distinguishes shrub types by phenology (deciduous or evergreen) and plant height, following literature recommendations <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx60" id="paren.133"/>. Our classification captures the differing carbon cycle and ecosystem functions of the most prominent shrub types <xref ref-type="bibr" rid="bib1.bibx60" id="paren.134"/> and lays the foundation for implementing distinct shrub-climate interactions and feedbacks. This categorisation balances real-world functional diversity with the computational constraints of a global LSM.</p>
      <p id="d2e6047">Our classification and parameterisation are more detailed than the shrub implementations in most other global LSMs, which often only differentiate between deciduous and evergreen shrubs and therefore are not able to capture growth-form-dependent differences and climate interactions <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx108 bib1.bibx85 bib1.bibx60" id="paren.135"/>. A comparison of shrub implementations in different LSMs (Table <xref ref-type="table" rid="T6"/>; see <xref ref-type="bibr" rid="bib1.bibx108" id="text.136"/> for further ecosystem models) shows that some models only include one generic shrub PFT in high-latitudes (e.g. CABLE2.4, CLM5, JSBACH3.2), while others at best differentiate between deciduous and evergreen (e.g. CLASSIC, JULES4.6). ELM and LPJ-GUESS, known for their high ecological realism <xref ref-type="bibr" rid="bib1.bibx58" id="paren.137"/>, include similar categorisations to the one presented in our study, differentiating between evergreen and deciduous shrubs and different heights <xref ref-type="bibr" rid="bib1.bibx107 bib1.bibx90" id="paren.138"/>. Our choice made for ORCHIDEE captures the same distinctions (evergreen-deciduous and height differences) and thus supports explicit representation of growth-form–dependent shrub–climate feedbacks (e.g., via phenology and canopy structure), while keeping the PFT space manageable given the current model complexity.</p>
      <p id="d2e6064">Contrary to the site-level calibrations in many other shrub implementations (e.g. <xref ref-type="bibr" rid="bib1.bibx107 bib1.bibx61 bib1.bibx90" id="altparen.139"/>), the ORCHIDEE shrub PFT classification and parameterisation are constrained by synthesised observations spanning the entire high-latitude region, increasing its transferability and limiting site-specific biases <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx48" id="paren.140"/>. This is in line with recent work by <xref ref-type="bibr" rid="bib1.bibx62" id="text.141"/>, highlighting the limitations of model parameterisations based on plot-level observations from a single site. Thus, the methodological choices, including the shrub PFT classification scheme, calibration targets and vegetation distribution, are applicable beyond the ORCHIDEE model.</p>
      <p id="d2e6076">While parameter selection and optimisation were mainly carried out in a single grid cell due to computational limitations, the results indicate that parameterisations can be considered regionally representative, since simulated shrub characteristics match synthesised observations not only in the optimisation grid cell, but across the entire region. Parameterisation in a single grid cell was further deemed sufficient for the targeted variables like height and biomass, because in ORCHIDEE they are less sensitive to local environmental conditions than the observed variability indicates (cf. the relatively narrow ranges of height, diameter and biomass over the entire region given in Table <xref ref-type="table" rid="T5"/>, and the smaller variability in AGB in ORCHIDEE compared to observations in Fig. <xref ref-type="fig" rid="F3"/>). Notably, <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux-variables, with a stronger variability based on site conditions, were carefully evaluated at several locations to avoid site-specific biases. While this limited reproduction of spatial variability justifies the methodological choices in the present work, it calls for an enhanced representation of environmental dependencies in ORCHIDEE shrub parameter calculations in future work.</p>
      <p id="d2e6095">Our shrub implementation follows a classical fixed PFT approach, instead of a more flexible trait-based PFT implementation, where PFT traits vary in response to environmental conditions. Dynamic trait-based approaches have been proposed as a useful mechanism to capture functional diversity within generalised PFTs and dynamic responses to climate change <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx96 bib1.bibx9" id="paren.142"/> and several studies suggest that understanding and implementing trait variations of high-latitude shrubs in models can improve projections of changes in ecosystem function and climate change feedbacks <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx41 bib1.bibx25 bib1.bibx110" id="paren.143"/>. However, a trait-based implementation is challenging given the limited availability of shrub-plant trait observations <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx92 bib1.bibx41" id="paren.144"/>. Our chosen shrub PFT implementation is sufficient to capture the role of different shrub types in present-day high-latitude carbon uptake and storage, as demonstrated by our results. However, future developments aiming to improve plant phenology timings and magnitudes, and capture shrub-climate interactions and future expansion may benefit from adding trait-based variations to the existing shrub PFTs. Recent developments of ORCHIDEE already introduced dynamic parameter calculations, of e.g. dynamic tree height and mortality <xref ref-type="bibr" rid="bib1.bibx78" id="paren.145"/>, that may be extended to shrubs. One such example could be for the tundra–treeline ecotone, where the structural distinction between tall deciduous shrubs and small trees can be fluid, particularly for taxa such as mountain birch (<italic>Betula pubescens</italic> ssp. <italic>tortuosa</italic>) and green alder (<italic>Alnus viridis</italic>) <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx74" id="paren.146"/>. These may occur in both shrub-like and tree-like forms depending on climatic conditions. In such cases, dynamic parameterisation could, in principle, allow gradual transitions between shrub and tree growth forms.</p>
      <p id="d2e6123">Overall, the shrub PFT categorisation by phenology and height captures key functional contrasts and is sufficiently constrained to support regional carbon-cycle evaluation (Figs. <xref ref-type="fig" rid="F6"/>–<xref ref-type="fig" rid="F8"/>), while leaving trait-continuous responses as a clear next development step.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Shrub implementation in ORCHIDEE</title>
      <p id="d2e6138">A key strength of this new shrub functionality lies in its relative simplicity: it introduces shrub PFTs by relying largely on existing processes already used for woody vegetation, rather than adding new functional modules to an already complex model. Our experiment demonstrates the adaptability of the ORCHIDEE framework.</p>
      <p id="d2e6141">In ORCHIDEE, all woody PFTs share core process formulations for photosynthesis, respiration, and carbon allocation to leaves, stems, and roots, while functional differences are expressed through PFT-specific parameters controlling plant height, leaf area index, allometry, and phenology <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx67" id="paren.147"/>. Shrub PFTs were implemented relying on this shared functionality, maintaining process consistency, and minimizing added model complexity, but adjusting parameter values that control key differences in ecosystem functioning between shrubs and trees. This highlights that the carbon allocation scheme of the recent ORCHIDEE version, based on the pipe model <xref ref-type="bibr" rid="bib1.bibx86" id="paren.148"/>, is generic enough to represent trees and shrubs with only a few parameter changes.</p>
      <p id="d2e6150">Key shrub–tree contrasts that are directly targeted in our calibration and evaluation include: morphological differences, which have been addressed through an adaptation of the growth form to low heights and stem diameter and higher density of stems; and adaptability of shrubs to limited growth conditions, which have been addressed through reduced sizes, as well as earlier leaf onset in PFT 17 and higher nitrogen use efficiency in PFT 18 (cf. Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS1"/>).</p>
      <p id="d2e6155">Furthermore, shrubs differ from trees in their interactions with high-latitude environments. While the newly implemented shrub PFTs improve high-latitude vegetation representation and carbon cycling in ORCHIDEE, further developments are needed to explicitly capture shrub-climate interactions and feedbacks. Central feedback processes to consider when modelling shrubs include their interactions with snow, impacts on soil thermal regimes and permafrost dynamics, as well as albedo changes <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx60" id="paren.149"/>. For instance, snow cover influences shrub growth, by insulating and protecting shrub buds and tissues from frost, and shaping shrub height and growth form <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx106" id="paren.150"/>. Conversely, shrub presence increases snow accumulation and reduces its compaction, with impacts on soil temperatures and permafrost through the thermal insulation of the snowpack <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx22 bib1.bibx38" id="paren.151"/>. Depending on shrub height and stature, shrub branches protruding above the snowpack can reduce winter albedo and accelerate snow melt <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx87" id="paren.152"/>. These dynamics may potentially represent feedbacks on shrub growth and climate warming, and will thus be important to capture in modelling efforts of future high-latitude ecosystem-climate interactions in ORCHIDEE. After implementation of shrub-climate interactions, the next step would be the representation of dynamic shrub expansion processes through competition with other high-latitude PFTs.</p>
      <p id="d2e6171">Overall, our implementation demonstrates that shrub-appropriate PFT traits can be represented within ORCHIDEE’s existing woody framework, reducing biases in high-latitude carbon cycling (Figs. <xref ref-type="fig" rid="F6"/>–<xref ref-type="fig" rid="F8"/>), while laying the groundwork for dynamic shrub-climate interactions.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Vegetation distribution</title>
      <p id="d2e6186">As vegetation fractions are prescribed in ORCHIDEE, the PFT maps condition simulated regional carbon stocks and fluxes. Updating these maps to include three shrub PFTs reduces the extent of forest-prescribed tundra and introduces spatially explicit shrub fractions that contribute to the biomass and GPP changes reported in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/> and <xref ref-type="sec" rid="Ch1.S3.SS4"/>.</p>
      <p id="d2e6193">Our updated PFT maps combine the ESA CCI–based PFT product <xref ref-type="bibr" rid="bib1.bibx36" id="paren.153"/> with additional shrub cover information <xref ref-type="bibr" rid="bib1.bibx81" id="paren.154"/> and apply empirical partitioning rules derived from local to sub-regional shrub mapping <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx56" id="paren.155"/> to distribute shrub cover among the three ORCHIDEE shrub PFTs (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). These additional steps address the known limitations of high-latitude shrub cover representation in <xref ref-type="bibr" rid="bib1.bibx36" id="text.156"/>, and provide the information needed to distinguish between the three ORCHIDEE shrub PFTs. While this approach improves shrub representation in high latitudes compared to <xref ref-type="bibr" rid="bib1.bibx36" id="text.157"/> alone, it introduces its own set of uncertainties that should be considered when interpreting regional results.</p>
      <p id="d2e6214">First, partitioning shrub cover among the three shrub PFTs relies partly on relationships derived from Alaska/Yukon mapping products that are applied at pan-Arctic scale (Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>). This extrapolation is necessary due to the lack of pan-Arctic mapping products with comparable detail in their shrub categorisation, but it may misrepresent regional differences in shrub composition. Second, shrub type definitions differ among observational and remote-sensing products and do not map uniquely onto the three ORCHIDEE shrub PFTs. For example, <xref ref-type="bibr" rid="bib1.bibx55" id="text.158"/> define low deciduous shrubs as 0.2–1.5 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> tall, and tall shrubs as <inline-formula><mml:math id="M244" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, whereas our tall/low cut-off lies between <inline-formula><mml:math id="M246" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5 and 1 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>; this mismatch may lead to an underestimation of tall-shrub fractions.</p>
      <p id="d2e6261">Independent evaluation of shrub cover fractions remains challenging because no pan-Arctic benchmark product provides comparable detail on shrub type and height. Using a reconstruction of tall shrub cover across 11 regions of the Siberian tundra <xref ref-type="bibr" rid="bib1.bibx29" id="paren.159"/>, we obtain a mean tall shrub cover of 13.9 %, supporting that tall shrubs may be underestimated in our PFT maps (mean 1.3 %, max 10.2 %). In the absence of unified benchmarks, we evaluate shrub distributions indirectly through their impact on regional AGB and GPP patterns, and interpret model improvements as the combined effect of shrub traits and shrub spatial distributions.</p>
      <p id="d2e6268">Overall, the updated PFT maps provide a necessary spatial foundation for representing high-latitude shrubs in ORCHIDEE and contribute to improved AGB and GPP relative to benchmarking data. However, uncertainty in shrub distributions remains a primary source of uncertainty in regional pan-Arctic carbon simulations.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Improved Model performance</title>
      <p id="d2e6280">Including shrub PFTs improves high-latitude carbon cycling in ORCHIDEE, reducing both simulated AGB and GPP across the Arctic–Boreal region and improving model performance compared to benchmark data.</p>
      <p id="d2e6283">Comparing simulated GPP with different data products highlighted a general agreement between simulated and observed GPP, but also underscored uncertainties in the upscaled observational datasets (Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>). Across the Arctic–Boreal region, FLUXCOM <xref ref-type="bibr" rid="bib1.bibx43" id="paren.160"/> and CARDAMOM <xref ref-type="bibr" rid="bib1.bibx39" id="paren.161"/> provide lower GPP estimates than ORCHIDEE (350 (FLUXCOM, 2001–2015) and 407 (CARDAMOM, 2001–2019) <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, compared to 498 and 481 <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, for ORCHIDEE-15 and ORCHIDEE-18, respectively, 1992–2020). In contrast, the <xref ref-type="bibr" rid="bib1.bibx97" id="text.162"/> upscaling yields estimates higher than ORCHIDEE-18 (512 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 1992–2015; Fig. <xref ref-type="fig" rid="F7"/>b). This spread among upscaled products implies that absolute GPP bias cannot be uniquely diagnosed from any single regional benchmark, and our simulated estimates fall within the range of recent regional data-constrained estimates derived from independent approaches.</p>

<table-wrap id="T7" specific-use="star"><label>Table 7</label><caption><p id="d2e6390">Mean (standard deviation) annual (<inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and seasonal (<inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) GPP simulated in ORCHIDEE and observed/upscaled by different sources. (FLUXCOM <xref ref-type="bibr" rid="bib1.bibx43" id="paren.163"/>, CARDAMOM <xref ref-type="bibr" rid="bib1.bibx39" id="paren.164"/>, <xref ref-type="bibr" rid="bib1.bibx97" id="text.165"/> upscaled and observed, ABCflux database <xref ref-type="bibr" rid="bib1.bibx98" id="paren.166"/>). Seasons: spring <inline-formula><mml:math id="M253" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> MAM, summer <inline-formula><mml:math id="M254" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> JJA, autumn <inline-formula><mml:math id="M255" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> SON, winter <inline-formula><mml:math id="M256" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> DJF.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Years</oasis:entry>
         <oasis:entry colname="col4">Annual</oasis:entry>
         <oasis:entry colname="col5">Spring</oasis:entry>
         <oasis:entry colname="col6">Summer</oasis:entry>
         <oasis:entry colname="col7">Autumn</oasis:entry>
         <oasis:entry colname="col8">Winter</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Arctic–Boreal</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE-15</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">498 (331)</oasis:entry>
         <oasis:entry colname="col5">26 (32)</oasis:entry>
         <oasis:entry colname="col6">130 (84)</oasis:entry>
         <oasis:entry colname="col7">9 (12)</oasis:entry>
         <oasis:entry colname="col8">0.2 (0.8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE-18</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">481 (329)</oasis:entry>
         <oasis:entry colname="col5">25 (31)</oasis:entry>
         <oasis:entry colname="col6">124 (82)</oasis:entry>
         <oasis:entry colname="col7">11 (12)</oasis:entry>
         <oasis:entry colname="col8">0.3 (0.8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">FLUXCOM</oasis:entry>
         <oasis:entry colname="col3">2001–2015</oasis:entry>
         <oasis:entry colname="col4">350 (246)</oasis:entry>
         <oasis:entry colname="col5">14 (14)</oasis:entry>
         <oasis:entry colname="col6">91 (60)</oasis:entry>
         <oasis:entry colname="col7">11 (10)</oasis:entry>
         <oasis:entry colname="col8">0.9 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CARDAMOM</oasis:entry>
         <oasis:entry colname="col3">2001–2019</oasis:entry>
         <oasis:entry colname="col4">407 (224)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx97" id="text.168"/>
                  </oasis:entry>
         <oasis:entry colname="col3">1992–2015</oasis:entry>
         <oasis:entry colname="col4">512 (200)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">114<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.169"/> (obs.)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4">482</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">106<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Boreal</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE-15</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">635 (269)</oasis:entry>
         <oasis:entry colname="col5">39 (32)</oasis:entry>
         <oasis:entry colname="col6">159 (66)</oasis:entry>
         <oasis:entry colname="col7">12 (12)</oasis:entry>
         <oasis:entry colname="col8">0.3 (1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE-18</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">632 (269)</oasis:entry>
         <oasis:entry colname="col5">38 (31)</oasis:entry>
         <oasis:entry colname="col6">158 (64)</oasis:entry>
         <oasis:entry colname="col7">14 (12)</oasis:entry>
         <oasis:entry colname="col8">0.4 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">FLUXCOM</oasis:entry>
         <oasis:entry colname="col3">2001–2015</oasis:entry>
         <oasis:entry colname="col4">481 (214)</oasis:entry>
         <oasis:entry colname="col5">20 (15)</oasis:entry>
         <oasis:entry colname="col6">125 (50)</oasis:entry>
         <oasis:entry colname="col7">15 (10)</oasis:entry>
         <oasis:entry colname="col8">0.8 (0.8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CARDAMOM</oasis:entry>
         <oasis:entry colname="col3">2001–2019</oasis:entry>
         <oasis:entry colname="col4">506 (195)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx97" id="text.170"/>
                  </oasis:entry>
         <oasis:entry colname="col3">1992–2015</oasis:entry>
         <oasis:entry colname="col4">591 (198)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">132<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.171"/> (obs.)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4">624</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">140<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2">ABCflux</oasis:entry>
         <oasis:entry colname="col3">1995–2020</oasis:entry>
         <oasis:entry colname="col4"><italic>732</italic><sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">40 (49)</oasis:entry>
         <oasis:entry colname="col6">163 (79)</oasis:entry>
         <oasis:entry colname="col7">38 (45)</oasis:entry>
         <oasis:entry colname="col8">3 (19)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tundra</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE-15</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">334 (297)</oasis:entry>
         <oasis:entry colname="col5">6 (17)</oasis:entry>
         <oasis:entry colname="col6">100 (85)</oasis:entry>
         <oasis:entry colname="col7">5 (9)</oasis:entry>
         <oasis:entry colname="col8">0.1 (0.2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE-18</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4">289 (268)</oasis:entry>
         <oasis:entry colname="col5">5 (14)</oasis:entry>
         <oasis:entry colname="col6">85 (77)</oasis:entry>
         <oasis:entry colname="col7">6 (8)</oasis:entry>
         <oasis:entry colname="col8">0.1 (0.3)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">FLUXCOM</oasis:entry>
         <oasis:entry colname="col3">2001–2015</oasis:entry>
         <oasis:entry colname="col4">171 (119)</oasis:entry>
         <oasis:entry colname="col5">5 (5)</oasis:entry>
         <oasis:entry colname="col6">46 (31)</oasis:entry>
         <oasis:entry colname="col7">5 (4)</oasis:entry>
         <oasis:entry colname="col8">1.4 (0.8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CARDAMOM</oasis:entry>
         <oasis:entry colname="col3">2001–2019</oasis:entry>
         <oasis:entry colname="col4">215 (141)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx97" id="text.172"/>
                  </oasis:entry>
         <oasis:entry colname="col3">1992–2015</oasis:entry>
         <oasis:entry colname="col4">364 (104)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">77<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.173"/> (obs.)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4">250</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">77<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2">ABCflux</oasis:entry>
         <oasis:entry colname="col3">1995–2020</oasis:entry>
         <oasis:entry colname="col4"><italic>297</italic><sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">11 (16)</oasis:entry>
         <oasis:entry colname="col6">72 (60)</oasis:entry>
         <oasis:entry colname="col7">14 (30)</oasis:entry>
         <oasis:entry colname="col8">2 (9)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e6492"><sup>a</sup> <xref ref-type="bibr" rid="bib1.bibx97" id="text.167"/> report growing season values (not JJA summer) with unknown length, in <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">period</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, here divided by 3 assuming the growing season corresponds approximately to the three summer months (JJA). Values taken directly from the paper, reported over a larger area than examined in this study, resulting in an expected small overestimation. <sup>b</sup> Total annual values aggregated from reported seasonal means.</p></table-wrap-foot></table-wrap>

      <p id="d2e7201">Differentiating between the tundra and boreal ecoregions <xref ref-type="bibr" rid="bib1.bibx20" id="paren.174"/> and by seasonal fluxes, as well as adding synthesized site level observations to the comparison, provides a clearer picture of GPP biases (Table <xref ref-type="table" rid="T7"/>). In the boreal region, where the reduction in ORCHIDEE-18 relative to ORCHIDEE-15 is small (0.47 %), alignment between data-based products is high, indicating a modest positive bias in ORCHIDEE. A comparison with synthesized FLUXNET observations from <xref ref-type="bibr" rid="bib1.bibx97" id="text.175"/> further supports the overall high agreement between simulated GPP from both ORCHIDEE-versions and boreal zone site observations, with a slight improvement in ORCHIDEE-18. The FLUXNET synthesis in the ABCflux database suggests higher GPP values in the boreal region, mainly based on higher estimates outside of the growing season <xref ref-type="bibr" rid="bib1.bibx98" id="paren.176"/>. The main disagreement among data-based products originates in the tundra region. There, the <xref ref-type="bibr" rid="bib1.bibx97" id="text.177"/> upscaled estimate and the synthesized flux observations of the ABCflux database point to higher GPP estimates than in ORCHIDEE-15, while the other products (FLUXCOM, CARDAMOM, <xref ref-type="bibr" rid="bib1.bibx97" id="text.178"/> synthesized observations) indicate an overestimation bias in both ORCHIDEE-15 and ORCHIDEE-18. Focusing on the growing season reveals a stronger and more consistent signal across all datasets: all data products agree that ORCHIDEE-15 overestimates GPP (100 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in tundra summer (JJA), and that the introduction of shrubs reduces this bias (85 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">mo</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), increasing agreement with upscaled and synthesized data products (see Table <xref ref-type="table" rid="T7"/>). In contrast, outside of the growing season, ORCHIDEE underestimates GPP relative to the ABCflux database and FLUXCOM. The stronger reduction in simulated GPP in the tundra region (13.5 %), particularly during the summer, can be explained with a higher shrub fraction in the ORCHIDEE PFT maps in the tundra region, combined with the fact that differences in simulated GPP among ORCHIDEE PFTs are most pronounced during the growing season. Overall, multiple benchmarks indicate that shrub PFTs reduce GPP toward observation-based ranges, especially in the Arctic tundra subregion.</p>

<table-wrap id="T8" specific-use="star"><label>Table 8</label><caption><p id="d2e7285">Mean high-latitude NEE, total (<inline-formula><mml:math id="M270" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and per area (<inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) simulated in ORCHIDEE and estimated by different sources <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx79 bib1.bibx98 bib1.bibx97" id="paren.179"/>. Numbers in parentheses denote uncertainties, given as standard deviation (ORCHIDEE, ABCflux) or 95 % confidence interval <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx79" id="paren.180"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Time</oasis:entry>
         <oasis:entry colname="col4">Total (<inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">Per area (<inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Arctic &amp; Boreal</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE (15 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M274" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>775 (145)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M275" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38.6 (95.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE (18 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M276" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>730 (141)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M277" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.6 (88.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">permafrost region</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx39" id="text.181"/> (bottom-up)</oasis:entry>
         <oasis:entry colname="col3">2000–2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M278" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29 (<inline-formula><mml:math id="M279" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>709, 455)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx39" id="text.182"/> (top-down)</oasis:entry>
         <oasis:entry colname="col3">2000–2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M280" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>587 (<inline-formula><mml:math id="M281" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>862, <inline-formula><mml:math id="M282" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>312)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">permafrost region</oasis:entry>
         <oasis:entry colname="col2">
                    <xref ref-type="bibr" rid="bib1.bibx79" id="text.183"/>
                  </oasis:entry>
         <oasis:entry colname="col3">2000–2020</oasis:entry>
         <oasis:entry colname="col4">12 (<inline-formula><mml:math id="M283" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>606, 661)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2">ABCflux</oasis:entry>
         <oasis:entry colname="col3">1995–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M284" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>27.9 (85.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Boreal</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE (15 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M285" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>52.4 (105.1)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE (18 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M286" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.4 (100.3)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.184"/> (upscaled)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>29</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.185"/> (obs.)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>46</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2">ABCflux</oasis:entry>
         <oasis:entry colname="col3">1995–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35.5 (93.7)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tundra</oasis:entry>
         <oasis:entry colname="col2">ORCHIDEE (15 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M290" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.9 (76.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ORCHIDEE (18 PFT)</oasis:entry>
         <oasis:entry colname="col3">1992–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M291" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.3 (60.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.186"/> (upscaled)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2"><xref ref-type="bibr" rid="bib1.bibx97" id="text.187"/> (obs.)</oasis:entry>
         <oasis:entry colname="col3">1990–2015</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">site-level</oasis:entry>
         <oasis:entry colname="col2">ABCflux</oasis:entry>
         <oasis:entry colname="col3">1995–2020</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M293" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.3 (44.2)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e7840">Reported Arctic–Boreal NEE estimates in the literature span a wide range (<inline-formula><mml:math id="M294" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>587 (<inline-formula><mml:math id="M295" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>862,-312) <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the top-down estimate of (<xref ref-type="bibr" rid="bib1.bibx39" id="altparen.188"/>) to 12 (<inline-formula><mml:math id="M297" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>606,661) <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx79" id="paren.189"/>). Both ORCHIDEE setups simulate NEE at the higher end of this range (Table <xref ref-type="table" rid="T8"/>). In the boreal zone, both ORCHIDEE simulations are very similar and may overestimate NEE relative to observation-based estimates, whereas in the tundra, ORCHIDEE-18 simulates a reduced carbon uptake more consistent with observations. However, improvements in process representations governing <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the onset of the growing season are needed to increase confidence in simulated NEE.</p>
      <p id="d2e7924">This study represents the first implementation and evaluation of shrub PFTs in the trunk version of ORCHIDEE (based on v4), which forms the basis for upcoming model applications, including CMIP-7 FAST-TRACK and TRENDY (<xref ref-type="bibr" rid="bib1.bibx78" id="altparen.190"/>). Accordingly, diagnostics directly constrained by the new plant representation were prioritised, with a particular focus on shrub dynamics during the growing season. We therefore emphasise GPP and <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> stocks (e.g. AGB), which are mechanistically linked to the processes and parameters targeted in this study (phenology, canopy development, allometry and allocation), rather than the full suite of processes governing ecosystem respiration and net carbon balance (e.g. soil carbon turnover, litter and heterotrophic respiration), which were not explicitly addressed during this implementation stage.</p>
      <p id="d2e7938">Ecosystem respiration is generally reported to be more uncertain than GPP, because it is more difficult to constrain observationally and depends on flux partitioning and multiple temperature- and substrate-sensitive processes <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx53" id="paren.191"/>. Consequently, NEE, defined as the balance between GPP and <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, may appear unbiased due to compensating errors in photosynthesis and respiration. In our simulations, limitations in the seasonal dynamics of GPP – particularly an overly abrupt leaf onset for deciduous shrubs – propagate into <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and thus into NEE, complicating process-level attribution. For this reason, we report <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and NEE for completeness, but use GPP and biomass as the primary, more interpretable benchmarks for assessing whether the shrub PFTs improve high-latitude vegetation functioning at this stage of model development.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e7987">High-latitude vegetation has been under-represented in the global land surface model ORCHIDEE, contributing to biases in simulated carbon stocks and <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes across the Arctic–Boreal region. Relying largely on existing model functionality and synthesised pan-Arctic observations, we introduced three high-latitude shrub PFTs (tall deciduous, low deciduous, and evergreen dwarf shrubs) into ORCHIDEE LSM (r9269) and updated prescribed vegetation distributions to include shrubs.</p>
      <p id="d2e8001">Our shrub PFT classification combines two key dimensions (phenology and stature) to capture divergent shrub ecosystem functions while keeping the framework tractable for global and coupled simulations. Shrub traits are constrained using synthesised pan-Arctic observations to favour regionally representative parameter values rather than site-specific tuning. We prescribed shrub cover distributions using updated PFT maps that combine ESA CCI–based products with Arctic shrub information and sub-regional partitioning approaches.</p>
      <p id="d2e8004">Our implementation produces shrub PFTs with realistic size, biomass, and <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> allocation characteristics and improves simulated carbon stocks and gross primary productivity across the Arctic–Boreal region compared to regional benchmark datasets, with the strongest gains in tundra areas, where shrubs are more dominant and replace previously prescribed forest. This represents an important improvement of ORCHIDEE's representation of high-latitude vegetation and carbon cycling.</p>
      <p id="d2e8015">Important priorities for future work include improving seasonal dynamics of photosynthesis and respiration (and hence net ecosystem exchange), reducing uncertainties in shrub-cover mapping and shrub-type partitioning, and representing shrub-climate interactions involving snow, soil thermal regimes, and permafrost. Building on the baseline established here, implementing dynamic shrub expansion and trait variability will be essential for projecting future Arctic–Boreal ecosystem–climate feedbacks. More broadly, our results highlight the value of combining regionally synthesised observations with land surface model development to improve high-latitude vegetation representation in Earth system models.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Supplementary information for methods</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>ORCHIDEE model description</title>
      <p id="d2e8036">ORCHIDEE (Organising Carbon and Hydrology In Dynamic Ecosystems) is the land surface component of the French ESM IPSL-CM <xref ref-type="bibr" rid="bib1.bibx12" id="paren.192"/> developed by the Institute Pierre Simon Laplace (IPSL). ORCHIDEE can be run in a coupled set-up interacting with the IPSL atmospheric, ocean and ice sheet models, or as a stand-alone model, offline, as done in this work. Inputs required for the simulations include atmospheric forcing (air temperature, humidity, wind speed, surface pressure, and radiation), land surface characteristics (PFT distribution and dominant soil type), and initial conditions for energy, water, carbon, and nitrogen pools. These inputs are sourced from global datasets such as atmospheric reanalysis products, land cover maps, and soil texture databases. ORCHIDEE simulates carbon, nitrogen, energy and water cycling within the terrestrial biosphere, and the exchanges along the soil–vegetation–atmosphere interface <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx101" id="paren.193"/>. Different biomes are represented by fifteen generic PFTs, including forests, crops and grasslands. They are differentiated based on climate zone (tropical/temperate/boreal), leaf habit (evergreen/deciduous), leaf type (broadleaf/needleleaf) and photosynthetic pathway for grasses and crops (C<sub>3</sub>/C<sub>4</sub>) <xref ref-type="bibr" rid="bib1.bibx13" id="paren.194"/> (see Table <xref ref-type="table" rid="TA1"/>). Woody vegetation is represented using a dynamic, vertically discretised canopy scheme that enables explicit simulation of tree-scale demographic and growth processes, including light penetration allowing photosynthesis to be calculated at each canopy level, sapling establishment and density-dependent self-thinning <xref ref-type="bibr" rid="bib1.bibx67" id="paren.195"/>. Three diameter classes within each woody PFT allow simulation of different plant sizes within a stand. Mortality due to fire, wind, bark beetles and forest management are implemented in ORCHIDEE, but deactivated in this work <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx57 bib1.bibx113 bib1.bibx114" id="paren.196"/>. The terrestrial carbon cycle, including processes of photosynthesis, respiration, soil carbon dynamics and plant carbon allocation and phenology, is simulated in the STOMATE module. Carbon assimilation and stomatal conductance are described following the concepts of <xref ref-type="bibr" rid="bib1.bibx27" id="text.197"/> and <xref ref-type="bibr" rid="bib1.bibx3" id="text.198"/>, as implemented through the analytical solution proposed by <xref ref-type="bibr" rid="bib1.bibx111" id="text.199"/>. Photosynthetic processes are resolved at a half-hourly temporal resolution, whereas the allocation of carbon and nitrogen to vegetation compartments (namely leaves, fruits, roots, above-and belowground sapwood and heartwood, labile, and carbohydrate reserve pool), litter, and soil pools is simulated on a daily time step. The allocation of carbon to leaves, roots and wood follows allometric relationships, based on the pipe model theory <xref ref-type="bibr" rid="bib1.bibx86" id="paren.200"/>. Soil mineral properties are prescribed at the grid cell scale based on the 12 class USDA soil taxonomy <xref ref-type="bibr" rid="bib1.bibx28" id="paren.201"/>. The hydrological and biophysical processes of water and energy exchange are described by the surface–vegetation–atmosphere transfer scheme SECHIBA <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx24" id="paren.202"/>. Energy fluxes in the model are calculated uniformly at the grid cell scale, without explicit representation of sub-grid heterogeneity, with the exception of snow processes, for which a distinct energy balance is evaluated over the snow-covered fraction of each cell. In contrast, hydrological processes are simulated separately for different vegetation components within a grid cell, employing three distinct soil columns representing bare soil, tall vegetation (e.g. trees), and short vegetation (e.g. grasses). Vertical discretisation differs among model components: soil hydrology is represented using an 11-layer profile extending to a depth of 2 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with layer thickness increasing with depth according to a geometric spacing. Thermal processes and soil carbon and nitrogen dynamics share the same grid, but extended downward by seven additional layers to a total depth of approximately 90 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>ORCHIDEE PFTs</title>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e8121">ORCHIDEE plant functional types. PFTs 2 to 9 represent forest ecosystems. Bold: high-latitude PFTs; italics: shrub PFTs added in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="71mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">PFT</oasis:entry>
         <oasis:entry colname="col2" align="left"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2" align="left">Bare Soil</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2" align="left">Tropical broad-leaved evergreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2" align="left">Tropical broad-leaved raingreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate needle-leaved evergreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate broad-leaved evergreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate broad-leaved summergreen</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>Boreal needle-leaved evergreen</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>Boreal broad-leaved summergreen</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>Boreal needle-leaved summergreen (<italic>Larix</italic> Sp.)</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate C<sub>3</sub> grass</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate C<sub>4</sub> grass</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate C<sub>3</sub> agriculture</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2" align="left">Temperate C<sub>4</sub> agriculture</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2" align="left">Tropical C<sub>3</sub> grass</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold>Boreal C</bold><sub><bold>3</bold></sub><bold> grass</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold><italic>NEW: Tall Arctic/Boreal broad-leaved summergreen shrubs</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold><italic>NEW: Low Arctic/Boreal broad-leaved summergreen shrubs</italic></bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2" align="left"><bold><italic>NEW: Dwarf Arctic/Boreal broad-leaved evergreen shrubs</italic></bold></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Calibration data and targets</title>
<sec id="App1.Ch1.S1.SS3.SSSx1" specific-use="unnumbered">
  <title><italic>Height threshold values</italic></title>
      <p id="d2e8395">Section <xref ref-type="sec" rid="Ch1.S2.SS1.SSS2"/> reports the final target heights for three ORCHIDEE shrub PFTs: a tall shrub PFT, including plants of 0.5 to 3 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> height (typical shrub height being 1.5 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), a low shrub PFT, with a typical height of 0.5 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, and a dwarf shrub PFT covering heights below 30 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> (typical height: 20 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>). These are derived as a compromise among literature definitions, mapping products, and LPJ-GUESS. For transparency, the height thresholds in the sources considered are summarised below: <list list-type="bullet"><list-item>
      <p id="d2e8443"><xref ref-type="bibr" rid="bib1.bibx65" id="text.203"/>: dwarf shrubs <inline-formula><mml:math id="M321" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; erect dwarf/low shrubs up to 50 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; tall shrubs up to 3 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e8480"><xref ref-type="bibr" rid="bib1.bibx26" id="text.204"/> (maximum potential height): dwarf shrubs <inline-formula><mml:math id="M325" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; low shrubs 15–50 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; tall shrubs <inline-formula><mml:math id="M328" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e8524">Circumpolar Arctic Vegetation Map (CAVM; <xref ref-type="bibr" rid="bib1.bibx81" id="altparen.205"/>): prostrate/hemiprostrate dwarf shrubs <inline-formula><mml:math id="M330" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; erect dwarf shrubs <inline-formula><mml:math id="M332" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 40 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; low shrubs 40–200 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e8570">Alaska shrub mapping <xref ref-type="bibr" rid="bib1.bibx55" id="paren.206"/>: dwarf shrubs up to 20 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; low deciduous shrubs up to 1.5 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>; tall deciduous shrubs <inline-formula><mml:math id="M337" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e8608">Toolik Lake vegetation map <xref ref-type="bibr" rid="bib1.bibx102" id="paren.207"/>: low shrubs 40–100 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; tall shrubs <inline-formula><mml:math id="M340" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d2e8638">LPJ-GUESS LSM <xref ref-type="bibr" rid="bib1.bibx107" id="paren.208"/>: dwarf shrubs up to 20 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; low shrubs 20–50 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>; tall shrubs 50 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>–2 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>.</p></list-item></list></p>
</sec>
<sec id="App1.Ch1.S1.SS3.SSSx2" specific-use="unnumbered">
  <title><italic>Field survey used as an independent diameter check (Kobbefjord, Greenland)</italic></title>
      <p id="d2e8684">Section <xref ref-type="sec" rid="Ch1.S2.SS1.SSS2"/> mentions a small survey of tall willow shrubs (<italic>Salix glauca</italic>) in Kobbefjord, Greenland, used to confirm that the diameter targets derived from <xref ref-type="bibr" rid="bib1.bibx6" id="text.209"/> are realistic. The measurements are provided in Table <xref ref-type="table" rid="TA2"/>).</p>

<table-wrap id="TA2" specific-use="star"><label>Table A2</label><caption><p id="d2e8700">Results of a small survey of tall willow shrubs in Kobbefjord, Greenland. Height, basal diameter (BD), main stem diameter at different heights (<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1.0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1.0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), crown area (CA) and number of branches were measured/counted.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Shrub</oasis:entry>
         <oasis:entry colname="col2">Height [<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">BD [<inline-formula><mml:math id="M349" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1.0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col6">CA [<inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col7">Branches</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">2.5</oasis:entry>
         <oasis:entry colname="col3">4.5</oasis:entry>
         <oasis:entry colname="col4">2.5</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">1.5</oasis:entry>
         <oasis:entry colname="col7">11–12+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5">3.4</oasis:entry>
         <oasis:entry colname="col6">1.8</oasis:entry>
         <oasis:entry colname="col7">25–26+</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">2.5</oasis:entry>
         <oasis:entry colname="col3">3.0</oasis:entry>
         <oasis:entry colname="col4">2.7</oasis:entry>
         <oasis:entry colname="col5">1.6</oasis:entry>
         <oasis:entry colname="col6">1.2</oasis:entry>
         <oasis:entry colname="col7">13–14</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA3" specific-use="star"><label>Table A3</label><caption><p id="d2e8914">Filter procedure applied to the vegetation-description fields in the Arctic Plant Aboveground Biomass Synthesis Dataset <xref ref-type="bibr" rid="bib1.bibx8" id="paren.210"/> to obtain PFT-specific shrub subsets. Counts refer to the shrub-dominated subset (<inline-formula><mml:math id="M355" display="inline"><mml:mo lspace="0mm">≥</mml:mo></mml:math></inline-formula> 80 % shrub AGB) before site-level aggregation. Biomass values shown are the site-level median across plots, summarised across sites (median and interquartile range) after conversion to <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (50 % <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="28mm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="38mm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="34mm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="58mm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left"/>
         <oasis:entry colname="col2" align="left">Tall deciduous shrubs</oasis:entry>
         <oasis:entry colname="col3" align="left">Low deciduous shrubs</oasis:entry>
         <oasis:entry colname="col4" align="left">Evergreen dwarf shrubs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Positive filter (keywords/IDs)</oasis:entry>
         <oasis:entry colname="col2" align="left"><monospace>Salix|salix|willow| Willow|ALNFRU|Tall| tall</monospace></oasis:entry>
         <oasis:entry colname="col3" align="left"><monospace>low |Low</monospace> <monospace>Betula|betula| BETNAN|Birch|birch</monospace></oasis:entry>
         <oasis:entry colname="col4" align="left"><monospace>dwarf|Dwarf</monospace></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Negative filter</oasis:entry>
         <oasis:entry colname="col2" align="left"><monospace>low |Low|dwarf|Dwarf</monospace></oasis:entry>
         <oasis:entry colname="col3" align="left"><monospace>large</monospace></oasis:entry>
         <oasis:entry colname="col4" align="left"><monospace>Betula|betula|BETNAN| BETGLA|Birch|birch|Salix| salix|willow|Willow|ALNFRU| Tall|tall|Woodland|Flood-plain| Riparian|Juniper| 2m|meadow|heath|Heath| Snowbed|Wetland|Sparsely| Boreal|Herbaceous|Bare| Lichen|Southwest|North</monospace></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Additional site-description constraint</oasis:entry>
         <oasis:entry colname="col2" align="left"><monospace>NOT (dwarf|Dwarf| low |Low|18 % Betula)</monospace></oasis:entry>
         <oasis:entry colname="col3" align="left">–</oasis:entry>
         <oasis:entry colname="col4" align="left">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1" align="left">Manual exclusion</oasis:entry>
         <oasis:entry colname="col2" align="left"><monospace>Canada.DaringLake. Tower2-SedgeFen</monospace></oasis:entry>
         <oasis:entry colname="col3" align="left">–</oasis:entry>
         <oasis:entry colname="col4" align="left">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1" align="left">Resulting Plots/Sites/Locations</oasis:entry>
         <oasis:entry colname="col2" align="left">32/14/7</oasis:entry>
         <oasis:entry colname="col3" align="left">204/65/15</oasis:entry>
         <oasis:entry colname="col4" align="left">410/238/15</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S1.SS3.SSSx3" specific-use="unnumbered">
  <title><italic>Aboveground biomass <xref ref-type="bibr" rid="bib1.bibx8" id="paren.211"/>: exact filtering logic for shrub-PFT subsets</italic></title>
      <p id="d2e9091">Section <xref ref-type="sec" rid="Ch1.S2.SS1.SSS2"/> describes the overall selection of shrub-dominated plots from the Arctic Plant Aboveground Biomass Synthesis Dataset <xref ref-type="bibr" rid="bib1.bibx8" id="paren.212"/>, that compiles 32 individual datasets spanning 636 field sites across the Arctic region. The observations contain measurements of aboveground biomass of five different PFTs, including shrubs, mostly collected in peak summer season in 1998 to 2022, given in grams of oven-dried aboveground live biomass per square meter of ground surface. We extracted shrub biomass from the dataset by selecting the sample plots dominated by shrubs, using a selection criterion of at least 80 % of aboveground biomass being shrub biomass, well aware that this causes a slight underestimation of biomass compared to the model assumption that 100 % of a simulation site is covered by shrubs. We only considered shrub biomass from the resulting 677 plots at 331 field sites located within 24 larger areas.  Following <xref ref-type="bibr" rid="bib1.bibx8" id="text.213"/>, to avoid biases from sites with many plots, we calculated the median to group all sample plots at each field site, before calculating statistics across all field sites.  To make the biomass data comparable to ORCHIDEE output, we converted the data to <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> assuming that half of the dry biomass is carbon.  We used the vegetation descriptions contained in the dataset for each plot to extract specific aboveground biomass estimates for the three shrub PFTs. Table <xref ref-type="table" rid="TA3"/> provides additional implementation details on the string-based filtering of plot vegetation descriptions used to approximate shrub types. For tall deciduous shrubs we selected plots that contain the word tall or references to willow (salix) or alder (alnus) in their vegetation description, and excluded plots characterised as low or dwarf, resulting in 32 plots at 14 sites at 7 locations, with a median biomass of 583.5 (325.25–671.3125) <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is considerably higher than the overall shrub biomass. For low deciduous shrubs we filtered the vegetation description for a mention of low, not large, and Birch (betula or betula nana), finding 204 plots at 65 sites at 15 locations and a median biomass of 220 (130–479) <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Finally, filtering for evergreen dwarf shrubs returned data from 410 plots at 238 sites at 15 locations, by filtering for the word dwarf and excluding plots with mentions of birch (betula), willow (salix), alder (alnus), tall, and other selected criteria, resulting in a median biomass of 131 (74–218) <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Parameter optimisation</title>
      <p id="d2e9194">Optimisation was performed on site-level simulations at the Toolik Lake grid cell. The simulations were restarted from the end of a 340-years long spin-up simulation with prior best-guess parameter values, and then run with CRU JRA meteorological forcing from 2001–2010 for 110 years. The first 100 years served as additional spinup to allow the model to adjust to changed parameter values, and the final 10 years to calculate the cost function to minimise. If the cost function did not converge after 30 <inline-formula><mml:math id="M362" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 iterations, further iterations were added.</p>

<table-wrap id="TA4" specific-use="star"><label>Table A4</label><caption><p id="d2e9207">Optimisation target ranges for the three shrub PFTs and the output variables: Height [<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>], peak summer aboveground biomass [<inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>], minimum belowground biomass fraction, mean gross primary productivity [<inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>], peak growing season leaf area index, and age [years].</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <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:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Shrub PFT</oasis:entry>
         <oasis:entry colname="col2">Height</oasis:entry>
         <oasis:entry colname="col3">Peak AB BM</oasis:entry>
         <oasis:entry colname="col4">Min. BG BM frac</oasis:entry>
         <oasis:entry colname="col5">Mean GPP</oasis:entry>
         <oasis:entry colname="col6">Peak GS LAI</oasis:entry>
         <oasis:entry colname="col7">Age</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">PFT 16</oasis:entry>
         <oasis:entry colname="col2">1.40–1.55</oasis:entry>
         <oasis:entry colname="col3">5564–604</oasis:entry>
         <oasis:entry colname="col4">0.6–0.75,</oasis:entry>
         <oasis:entry colname="col5">0.5–1.65</oasis:entry>
         <oasis:entry colname="col6">0–3</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PFT 17</oasis:entry>
         <oasis:entry colname="col2">0.40–0.50</oasis:entry>
         <oasis:entry colname="col3">190–300</oasis:entry>
         <oasis:entry colname="col4">0.65–0.75</oasis:entry>
         <oasis:entry colname="col5">1–1.65</oasis:entry>
         <oasis:entry colname="col6">0–2</oasis:entry>
         <oasis:entry colname="col7">40–45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PFT 18</oasis:entry>
         <oasis:entry colname="col2">0.15–0.2</oasis:entry>
         <oasis:entry colname="col3">131–161</oasis:entry>
         <oasis:entry colname="col4">0.65–0.75</oasis:entry>
         <oasis:entry colname="col5">1.2–1.5</oasis:entry>
         <oasis:entry colname="col6">1–2.5</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e9391">Optimised parameters included: pipe_tune2, alpha_self_thinning, recruitment_beta, recruitment_alpha, alloc_max, recruitment_height, k_latosa_min, k_latosa_frac, slainit. Different parameter combinations were optimised for the different shrub PFTs. </p>
      <p id="d2e9396">The following model output variables were optimised against observation-based targets: height, peak summer AGB, minimum fraction of belowground biomass, mean GPP, peak summer leaf area index, age. The optimisation targets are defined as ranges of variation for a set of model variables and are listed in Table <xref ref-type="table" rid="TA4"/>. During the optimization the cost-function value contribution (see Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) from a given variable was assumed to be zero (i.e., considered to be acceptable) if the simulated variable time-series falls within the prescribed range. Whenever the simulated time series fell outside the prescribed range of acceptable variability, the cost function was defined as the deviation between the simulated values and the mean of the specified minimum and maximum bounds. Consequently, the contribution to the cost function increases with the magnitude of the deviation from the prescribed range.</p>
</sec>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Supplementary information for results</title>

      <fig id="FB1"><label>Figure B1</label><caption><p id="d2e9414">Simulated (green, ORCHIDEE-18, 1992–2020) and observed (light brown, <xref ref-type="bibr" rid="bib1.bibx8" id="altparen.214"/>) aboveground biomass for three shrub PFTs across the  Arctic and Boreal region. Observed biomass from <xref ref-type="bibr" rid="bib1.bibx8" id="text.215"/> was filtered to match the ORCHIDEE shrub PFT classification. Numbers in parentheses indicate the number of field sites included after filtering. Boxplots show median (center line), interquartile range (boxes) and whiskers extend to the farthest data point lying within 1.5<inline-formula><mml:math id="M366" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> the interquartile range. Complete visualisation including outliers of Fig. <xref ref-type="fig" rid="F3"/>.</p></caption>
        
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f09.png"/>

      </fig>

      <fig id="FB2" specific-use="star"><label>Figure B2</label><caption><p id="d2e9442">Individual respiration fluxes of the ORCHIDEE shrub PFTs at the same grid cells as in Fig. <xref ref-type="fig" rid="F4"/> (columns). Rows represent respiration fluxes: heterotrophic respiration, maintenance respiration and growth respiration. Positive values indicate release of <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the vegetation to the atmosphere. Shown is the average seasonal cycle and standard deviation (shading) in daily resolution, smoothed with a 10 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running mean.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f10.png"/>

      </fig>

      <fig id="FB3" specific-use="star"><label>Figure B3</label><caption><p id="d2e9475">Simulated (green) and observed (brown) annual sum of <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at four ORCHIDEE grid cells and six EC sites (as in Fig. <xref ref-type="fig" rid="F4"/>). Rows represent <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes: gross primary productivity (GPP), ecosystem repiration (<inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and net ecosystem exchange (NEE). Negative values indicate uptake of <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the atmosphere by the vegetation, while positive values denote release.</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f11.png"/>

      </fig>

      <fig id="FB4" specific-use="star"><label>Figure B4</label><caption><p id="d2e9532">Simulated (ORCHIDEE with 15 PFTs) and observation-based (from <xref ref-type="bibr" rid="bib1.bibx89" id="text.216"/> and <xref ref-type="bibr" rid="bib1.bibx51" id="altparen.217"/>) pan-Arctic AGB in 2010. Difference maps between ORCHIDEE with 15 PFTs and the observation-based products. Hatching indicates agreement with <xref ref-type="bibr" rid="bib1.bibx89" id="text.218"/> standard error interval. Numbers indicate total AGB across the region (top row), and total difference (bottom row).</p></caption>
        <graphic xlink:href="https://bg.copernicus.org/articles/23/6521/2026/bg-23-6521-2026-f12.png"/>

      </fig>


</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e9556">The analysis code used in this study is archived on Zenodo and available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22283927" ext-link-type="DOI">10.5281/zenodo.22283927</ext-link> <xref ref-type="bibr" rid="bib1.bibx45" id="paren.219"/>.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e9568">The ORCHIDEE data analysed in this study is archived on Zenodo and available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.22284046" ext-link-type="DOI">10.5281/zenodo.22284046</ext-link> <xref ref-type="bibr" rid="bib1.bibx46" id="paren.220"/>.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e9580">AK devised the approach, conducted model experiments and data analysis, performed the final model simulations, and wrote the manuscript. ASL and ELB planned this study and were involved in every step of the execution through supervision and guidance. VB supported the parameter optimisation with ORCHIDAS and produced the updated PFT maps. SL and PP provided technical advice on ORCHIDEE functionality and contributed feedback on model implementation choices and manuscript revisions. All co-authors contributed to the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e9586">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e9592">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="d2e9598">This work was performed using HPC resources from GENCI-TGCC on grant 2025-6328.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e9603">This research has been supported by the EU Horizon 2020 Framework Programme, H2020 Excellent Science (GreenFeedBack, grant no. 101056921; for AK, ELB and ASL), the NordForsk project Nordic Borealization Network (NordBorN, grant no. 164079; for ELB), and the EU HORIZON EUROPE Climate, Energy and Mobility (NextGenCarbon, grant no. 101184989; for SL and PP).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e9609">This paper was edited by Ying Sun and reviewed by Wu Sun and two anonymous referees.</p>
  </notes><ref-list>
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