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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-20-2117-2023</article-id><title-group><article-title>Exploring the impacts of unprecedented climate extremes on forest
ecosystems: hypotheses to guide modeling and experimental studies</article-title><alt-title>Exploring the impacts of unprecedented climate extremes on forest
ecosystems</alt-title>
      </title-group><?xmltex \runningtitle{Exploring the impacts of unprecedented climate extremes on forest
ecosystems}?><?xmltex \runningauthor{J. A. Holm et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Holm</surname><given-names>Jennifer A.</given-names></name>
          <email>jaholm@lbl.gov</email>
        <ext-link>https://orcid.org/0000-0001-5921-3068</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Medvigy</surname><given-names>David M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3076-3071</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Smith</surname><given-names>Benjamin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6987-5337</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Dukes</surname><given-names>Jeffrey S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9482-7743</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Beier</surname><given-names>Claus</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Mishurov</surname><given-names>Mikhail</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Xu</surname><given-names>Xiangtao</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9402-9474</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Lichstein</surname><given-names>Jeremy W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5553-6142</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Allen</surname><given-names>Craig D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8777-5989</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Larsen</surname><given-names>Klaus S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1421-6182</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Luo</surname><given-names>Yiqi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4556-0218</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff12">
          <name><surname>Ficken</surname><given-names>Cari</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff13">
          <name><surname>Pockman</surname><given-names>William T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Anderegg</surname><given-names>William R. L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff15">
          <name><surname>Rammig</surname><given-names>Anja</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5425-8718</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Lawrence Berkeley National Laboratory, Berkeley, California, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Biological Sciences, University of Notre Dame, Notre Dame, Indiana, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Physical Geography and Ecosystem Science, Lund University,
Lund, Sweden</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Hawkesbury Institute for the Environment, Western Sydney
University, Penrith, NSW 2751, Australia</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Forestry and Natural Resources, Purdue University, West Lafayette, Indiana, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Global Ecology, Carnegie Institution for
Science, Stanford, California, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Department of Geosciences and Natural Resource Management,
University of Copenhagen, Frederiksberg, Denmark</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Ecology and Evolutionary Biology, Cornell University,
Ithaca, New York, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Department of Biology, University of Florida, Gainesville, Florida,
USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Geography and Environmental Studies, University of New Mexico,
Albuquerque, New Mexico, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Center for Ecosystem Science and Society, Department of Biological
Sciences, <?xmltex \hack{\break}?> Northern Arizona University, Flagstaff, Arizona, USA</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Department of Biology, University of Waterloo, Waterloo, Ontario,
Canada</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>Department of Biology, University of New Mexico, Albuquerque, New
Mexico, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>School of Biological Sciences, University of Utah, Salt Lake City,
Utah, USA</institution>
        </aff>
        <aff id="aff15"><label>15</label><institution>TUM School of Life Sciences
Weihenstephan, Technical University of Munich, Freising, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jennifer A. Holm (jaholm@lbl.gov)</corresp></author-notes><pub-date><day>14</day><month>June</month><year>2023</year></pub-date>
      
      <volume>20</volume>
      <issue>11</issue>
      <fpage>2117</fpage><lpage>2142</lpage>
      <history>
        <date date-type="received"><day>19</day><month>March</month><year>2022</year></date>
           <date date-type="rev-request"><day>28</day><month>March</month><year>2022</year></date>
           <date date-type="rev-recd"><day>4</day><month>April</month><year>2023</year></date>
           <date date-type="accepted"><day>7</day><month>April</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Jennifer A. Holm et al.</copyright-statement>
        <copyright-year>2023</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/20/2117/2023/bg-20-2117-2023.html">This article is available from https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e311">Climatic extreme events are expected to occur more frequently in the future,
increasing the likelihood of unprecedented climate extremes (UCEs) or
record-breaking events. UCEs, such as extreme heatwaves and droughts,
substantially affect ecosystem stability and carbon cycling by increasing
plant mortality and delaying ecosystem recovery. Quantitative knowledge of
such effects is limited due to the paucity of experiments focusing on
extreme climatic events beyond the range of historical experience. Here, we
present a road map of how dynamic vegetation demographic models (VDMs) can
be used to investigate hypotheses surrounding ecosystem responses to one
type of UCE: unprecedented droughts. As a result of nonlinear ecosystem
responses to UCEs that are qualitatively different from responses to milder
extremes, we consider both biomass loss and recovery rates over time by
reporting a time-integrated carbon loss as a result of UCE, relative to the
absence of drought. Additionally, we explore how unprecedented droughts in
combination with increasing atmospheric CO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and/or temperature may
affect ecosystem stability and carbon cycling. We explored these questions
using simulations of pre-drought and post-drought conditions at well-studied
forest sites using well-tested models (ED2 and LPJ-GUESS). The severity and
patterns of biomass losses differed substantially between models. For
example, biomass loss could be sensitive to either drought duration or
drought intensity depending on the model approach. This is due to the models
having different, but also plausible, representations of processes and
interactions, highlighting the complicated variability of UCE impacts that still
need to be narrowed down in models. Elevated atmospheric CO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
concentrations (eCO<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) alone did not completely buffer the
ecosystems from carbon losses during<?pagebreak page2118?> UCEs in the majority of our
simulations. Our findings highlight the consequences of differences in
process formulations and uncertainties in models, most notably related to
availability in plant carbohydrate storage and the diversity of plant
hydraulic schemes, in projecting potential ecosystem responses to UCEs. We
provide a summary of the current state and role of many model processes that
give way to different underlying hypotheses of plant responses to UCEs,
reflecting knowledge gaps which in future studies could be tested with
targeted field experiments and an iterative modeling–experimental conceptual
framework.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>U.S. Department of Energy</funding-source>
<award-id>DE‐AC02‐05CH11231</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Science Foundation</funding-source>
<award-id>NSF-DEB-0955771</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Københavns Universitet</funding-source>
<award-id>ES1308</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Bundesministerium für Bildung und Forschung</funding-source>
<award-id>CLIMAX Project</award-id>
</award-group>
<award-group id="gs5">
<funding-source>University of Utah</funding-source>
<award-id>1714972</award-id>
</award-group>
<award-group id="gs6">
<funding-source>U.S. Department of Agriculture</funding-source>
<award-id>2018-67019-27850</award-id>
</award-group>
<award-group id="gs7">
<funding-source>U.S. Department of Agriculture</funding-source>
<award-id>16-JV-11242306-050</award-id>
</award-group>
<award-group id="gs8">
<funding-source>U.S. Geological Survey</funding-source>
<award-id>NA</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="d1e350">Extreme climate and weather events, such as prolonged
heatwaves and droughts as seen over the last 3 decades, are expected to
continue to increase in frequency and magnitude, leading to progressively
longer and warmer droughts on land (IPCC, 2012, 2021). Droughts are affecting
all areas of the globe, more than any other natural disturbance, and recent
droughts have broken long-standing records (Ciais et al., 2005; Phillips et
al., 2009; Williams et al., 2012; Matusick et al., 2013; Griffin and
Anchukaitis, 2014; Asner et al., 2016; Feldpausch et al., 2016; Seneviratne
et al., 2021). Such “unprecedented climate extremes” (UCEs;
“record-breaking events”, IPCC, 2012) that are larger in extent and
longer-lasting than historical norms can have dramatic consequences for
terrestrial ecosystem processes, including carbon uptake and storage and
other ecosystem services (Reichstein et al., 2013;  Allen et
al., 2015; Brando et al., 2019; Kannenberg et al., 2020). Thus, to better
anticipate the implications of climatic changes for the terrestrial carbon
sink and other ecosystem services, we need to better understand how
ecosystems respond to extreme droughts and other UCEs.</p>
      <p id="d1e353">To learn how ecosystems respond to rarely experienced or unprecedented
conditions, ecologists can experimentally manipulate environmental
conditions (Rustad, 2008; Beier et al., 2012; Meir et al., 2015; Aguirre et
al., 2021). However, the majority of such experiments apply moderate
treatments based on a historical sense, which are mostly weaker in intensity
and/or shorter in duration than potential future UCEs (Beier et al., 2012;
Kayler et al., 2015; but see Luo et al., 2017), and single experiments have
low power to detect effects of stressors on ecosystem responses (Yang et
al., 2022). Additionally, most experiments examine low-stature ecosystems,
such as grassland, shrubland, or tundra, due to lower requirements for
infrastructure and financial investment compared to mature forests. However,
forests may respond qualitatively differently to UCEs than other ecosystems,
in part due to mortality of large trees and strong nonlinear ecosystem
responses, with long-lasting consequences for ecosystem–climate feedbacks
(Williams et al., 2014; Meir et al., 2015). Ecosystem responses to naturally
occurring extreme droughts and heatwaves have been documented (Ciais et al.,
2005; Breshears et al., 2009; Feldpausch et al., 2016; Matusick et al.,
2016; Ruthrof et al., 2018; Powers et al., 2020); however, these
rapidly mobilized post hoc studies are often unable to measure all critical
variables and may lack consistently collected data for comparison with
pre-drought conditions, thus limiting their inferential power and ability to
improve quantitative models. The difficulties of performing controlled
real-world experiments of UCEs at broad spatial and temporal scales make
process-based modeling a valuable tool for studying potential ecosystem
responses to extreme events.</p>
      <p id="d1e356">Process-based models can be used to explore potential ecosystem impacts
using projected climate change over broad spatial and temporal scales
(Gerten et al., 2008; Luo et al., 2008; Zscheischler et al., 2014; Sippel et
al., 2016), as seen in a few modeling studies that have synthesized and
improved our process-level understanding of UCE effects (McDowell et al.,
2013; Dietze and Matthes, 2014). However, due to the overly simplified
representation of ecological processes in most land surface models (LSMs) –
the terrestrial components of Earth system models (ESMs) used for climate
projections – it is doubtful whether most of these models adequately
capture ecosystem feedbacks and other responses to UCEs (Fisher and Koven,
2020). For example, only a few ESMs in recent coupled model intercomparison
projects (CMIP6) (Arora et al., 2020; IPCC, 2021) include vegetation
demographics (Döscher et al., 2022), and most rely on prescribed, static
maps of plant functional types (PFTs) (Ahlström et al., 2012). Other
LSMs simulate PFT shifts (i.e., dynamic global vegetation models, DGVMs;
Sitch et al., 2008) based on bioclimatic limits, instead of emerging from
the physiology- and competition-based demographic rates that determine
resource competition and plant distributions in real ecosystems (Fisher et
al., 2018). While a new generation of LSMs with more explicit ecological
dynamics and structured demography is emerging (Holm et al., 2020; Koven et
al., 2020; Döscher et al., 2022), most current ESMs are limited in
ecological detail and realism (e.g., ecosystem structure, demography, and
disturbances). Failing to mechanistically represent mortality, recruitment,
and disturbance – each of which influences biomass turnover and carbon (C)
allocation (Friend et al., 2014) – limits the ability of these models to
realistically forecast ecosystem responses to anomalous environmental
conditions like UCEs (Fisher et al., 2018).</p>
      <p id="d1e359">Evaluating and improving the representation of physiological and ecological
processes in ecosystem models are critical for reducing model uncertainties
when projecting the effects of UCEs on long-term ecosystem dynamics and
functioning. Vegetation demography, plant hydraulics, enhanced
representations of plant trait variation, explicit treatments of resource
competition (e.g., height-structured competition for light), and
representing major disturbances (e.g., extreme drought) have all been
identified as critical areas for<?pagebreak page2119?> advancing current models (Scheiter et al.,
2013; Fisher et al., 2015; Weng et al., 2015; Choat et al., 2018; Fisher et
al., 2018; Blyth et al., 2021) and are necessary advances for realistically
representing the ecosystem impacts of UCEs. In this perspectives-focused
paper we look at the differences in these processes and how they contribute
to uncertainty across multiple temporal phases surrounding an extreme event:
predicting an ecosystem's pre-disturbance resistance, which influences the
degree of impact and recovery from UCEs. Table 1 describes a summary of
model mechanisms that affect pre-drought resistance and post-drought
recovery and that we suggest are critical areas for further research (cf. Frank et
al., 2015).</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e366">Hypothesized plant processes and ecosystem state variables
affecting pre-drought resistance and post-drought recovery in the context of
unprecedented climate extremes (UCEs). The “Included in model?” column
indicates which processes or state variables are represented in each of the
two models studied in this paper. The mechanisms listed in the two right
columns refer to real-world ecosystems and are not necessarily represented
in the ED2 and LPJ-GUESS models. The contents of the table are based on a
non-exhaustive literature review, expert knowledge, and modeling results
presented here.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.98}[.98]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="2.4cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="1.8cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="6cm"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="6cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Process or <?xmltex \hack{\hfill\break}?>state variable</oasis:entry>
         <oasis:entry colname="col2">Included in <?xmltex \hack{\hfill\break}?>model?</oasis:entry>
         <oasis:entry colname="col3">Mechanisms affecting pre-UCE drought <?xmltex \hack{\hfill\break}?>resistance</oasis:entry>
         <oasis:entry colname="col4">Mechanisms affecting post-UCE drought <?xmltex \hack{\hfill\break}?>recovery</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Processes</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(1) Phenology <?xmltex \hack{\hfill\break}?>schemes</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: yes</oasis:entry>
         <oasis:entry colname="col3">– Leaf area and metabolic activity modulate <?xmltex \hack{\hfill\break}?>vulnerability to death <?xmltex \hack{\hfill\break}?>– Drought deciduousness reduces vulnerability to drought<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula>, with higher water potential <?xmltex \hack{\hfill\break}?>at turgor loss point and leaf vulnerability to <?xmltex \hack{\hfill\break}?>embolism<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Leaf life span tends to increase from pioneer to late-successional species in some ecosystems (e.g., tropical forests) and is a balance between C gain and its cost</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(2) Plant <?xmltex \hack{\hfill\break}?>hydraulics</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: no</oasis:entry>
         <oasis:entry colname="col3">– Cavitation resistance traits<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>– Turgor loss and hydraulic failure (stem embolism) lead to increased plant mortality<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> and enhanced vulnerability to secondary stressors<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Replacement cost of damaged xylem slows recovery of surviving trees</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(3) Dynamic <?xmltex \hack{\hfill\break}?>carbon allocation</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: yes</oasis:entry>
         <oasis:entry colname="col3">– Increased root allocation could offset soil <?xmltex \hack{\hfill\break}?>water deficit under gradual onset of drought<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?>– Leaf C allocation strategies should be <?xmltex \hack{\hfill\break}?>connected to hydraulic processes<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Allocation among fine roots, xylem, and <?xmltex \hack{\hfill\break}?>leaves affects recovery time and gross primary productivity (GPP) and LAI trajectory <?xmltex \hack{\hfill\break}?>– Eco-evolutionary optimality theory<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(4) Non-structural carbohydrate (NSC) storage</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: yes</oasis:entry>
         <oasis:entry colname="col3">– NSCs buffer C starvation mortality <?xmltex \hack{\hfill\break}?>– NSCs help with maintenance of phloem <?xmltex \hack{\hfill\break}?>transport and avoiding xylem loss<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> and buffer <?xmltex \hack{\hfill\break}?>drought-induced tree mortality<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Low NSC could increase vulnerability to secondary stressors during recovery</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">State variables</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5) Plant–soil <?xmltex \hack{\hfill\break}?>water availability</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: partly</oasis:entry>
         <oasis:entry colname="col3">– Low soil water potential increases risk of tree C starvation, turgor loss, and hydraulic failure</oasis:entry>
         <oasis:entry colname="col4">– After stand dieback, reduced demand for limited soil resources <?xmltex \hack{\hfill\break}?>– Increased soil water enhances regeneration and regrowth and buffers vulnerability to long-term drought<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(6) Plant  <?xmltex \hack{\hfill\break}?>functional <?xmltex \hack{\hfill\break}?>diversity</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: yes</oasis:entry>
         <oasis:entry colname="col3">– Presence of drought-tolerant species modulates resistance at the community level <?xmltex \hack{\hfill\break}?>– Shallow-rooting species more vulnerable<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Changed resource availability can shift competitive balance in favor of grasses and pioneer trees</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(7) Stand <?xmltex \hack{\hfill\break}?>demography</oasis:entry>
         <oasis:entry colname="col2">ED2: yes <?xmltex \hack{\hfill\break}?>LPJ-G: yes</oasis:entry>
         <oasis:entry colname="col3">– Larger tree size enhances vulnerability to <?xmltex \hack{\hfill\break}?>drought and secondary stressors due to higher <?xmltex \hack{\hfill\break}?>maintenance costs<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">– Mortality of canopy individuals favors understory species and smaller size classes <?xmltex \hack{\hfill\break}?>– Self-organizing principles<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(8) Compounding <?xmltex \hack{\hfill\break}?>stressors</oasis:entry>
         <oasis:entry colname="col2">ED2: no <?xmltex \hack{\hfill\break}?>LPJ-G: no</oasis:entry>
         <oasis:entry colname="col3">– Reduced resistance to insects and pathogens due to physiological, mechanical, and hydraulic damage and depletion of NSC</oasis:entry>
         <oasis:entry colname="col4">– Infestation by insects and pathogens, repair of damage due to secondary stressors, slow recovery of surviving trees<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><table-wrap-foot><p id="d1e369">Letters refer to the following literature sources.
<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Borchert et al. (2002), Williams et al. (2008).
<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Zhu et al. (2018), Vargas et al. (2021).
<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Rowland et al. (2015), McDowell et al. (2013), Anderegg et al. (2015).
<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> Adams et al. (2017b).
<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> Dietze and Matthes (2014).
<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> Joslin et al. (2000), Markewitz et al. (2010).
<inline-formula><mml:math id="M10" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> Trugman et al. (2019).
<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula> Franklin et al. (2012).
<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula> O'Brien et al. (2014), Signori-Müller et al. (2021). <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">j</mml:mi></mml:msup></mml:math></inline-formula> McDowell et al. (2006), D'Amato et al. (2013).
<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">k</mml:mi></mml:msup></mml:math></inline-formula> Enquist and Enquist (2011), Greenwood et al. (2017), Powell et al. (2018). <inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">l</mml:mi></mml:msup></mml:math></inline-formula> Bennett et al. (2015), Rowland et al. (2015).
<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">m</mml:mi></mml:msup></mml:math></inline-formula> Franklin et al. (2020).
<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msup></mml:math></inline-formula> Hubbard et al. (2013).</p></table-wrap-foot><?xmltex \gdef\@currentlabel{1}?></table-wrap>

<sec id="Ch1.S1.SS1">
  <label>1.1</label><title>Objectives</title>
      <p id="d1e889">In order to inform our discussion, we explore the potential responses of
forest ecosystems to UCEs using two state-of-the-art process-based
demographic models (vegetation demographic models, VDMs; Fisher et al.,
2018), a unique model exploration–discussion approach to help highlight
new paths forward for model advancement. We first present conceptual
frameworks and hypotheses on potential ecosystem responses to UCEs based on
current knowledge. We then present VDM simulations for a range of
hypothetical UCE scenarios to illustrate current state-of-the-art model
representations of eco-physiological mechanisms expected to drive responses
to UCEs, using droughts as an example. While a variety of UCE-linked
biophysical tree disturbance processes (e.g., fire, wind, insect outbreaks)
can drive nonlinear ecosystem responses, we focus specifically on extreme
droughts, which have important impacts on many ecosystems around the world
(e.g., Frank et al., 2015; IPCC, 2021). By studying modeled responses to UCEs,
we explore the limits to our current understanding of ecosystem responses to
extreme droughts and their corresponding thresholds and tipping points. As
anthropogenic forcing has increased the frequency, duration, and intensity
of droughts throughout the world (Chiang et al., 2021), we explore how
eCO<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and rising temperatures may affect drought-induced C loss and
recovery trajectories. This study can help guide how the scientific
community can iteratively address these questions through future experiments
and modeling studies. We believe the combination of using cutting-edge VDMs
alongside an inspection of current gaps in knowledge will help guide
modeling and experimental advances in order to address novel forest
responses to climate extremes.</p>
</sec>
<sec id="Ch1.S1.SS2">
  <label>1.2</label><title>Conceptual and modeling framework for hypothesis testing</title>
      <p id="d1e909">We combine conceptual frameworks (Fig. 1) and ecosystem modeling to test two
hypotheses on potential responses of plant carbon stocks to UCEs. The first
hypothesis is as follows.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
<italic>Hypothesis (H1).</italic> Terrestrial ecosystem responses to UCEs will differ qualitatively from ecosystem responses to milder extremes because responses are nonlinear and highly variable. Nonlinearities can arise from multiple mechanisms – including shifts in plant hydraulics, C allocation, phenology, and stand demography – and can vary depending on the pre-drought state of the ecosystem.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
We present three conceptual relationships that describe terrestrial
ecosystem responses to varying degrees of extreme events (Fig. 1). We
hypothesize that change in vegetation C stock is related to drought
intensity and/or drought duration, such that biomass loss increases
nonlinearly with increased drought intensity (i.e., reduction in
precipitation) represented by a threshold-based relationship (Fig. 1a, H1a),
increased drought duration (i.e., prolonged drought with the same intensity)
by shifting responses typically seen in milder extremes downwards via
increasing slopes (Fig. 1a, H1b), or the combination of both intensity and
duration (Fig. 1a, H1c). These hypotheses are supported by observations from
the Amazon basin and Borneo (Phillips et al., 2010), where tree mortality
rates increased nonlinearly with drought intensity. Similarly, plant
hydraulic theories predict nonlinear damage to the plant-water transport
systems, and thus mortality risk, as a function of drought stress (Sperry
and Love, 2015). In particular, longer droughts are more likely to lead to
lower soil water potentials, leading to a nonlinear xylem damage function
even if stomata effectively limit water loss (Sperry et al., 2016).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
<italic>Hypothesis (H2).</italic> The effects of increasing atmospheric CO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration (eCO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) will alleviate impacts of extreme drought stress through an increase in vegetation productivity and water-use efficiency, but only up to a threshold of drought severity, while increased temperature (and related water stress) will exacerbate tree mortality.
<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
This second hypothesis is based on growing evidence that the effects of
eCO<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and climate warming may interact with the effects of drought intensity
on ecosystems. The CO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization effect enhances vegetation
productivity (e.g., net primary production, NPP) (Ainsworth and Long, 2005;
Norby et al., 2005; Wang et al., 2012), but this fertilization effect is
generally reduced by drought (Hovenden et al., 2014; Reich et al., 2014;
Gray et al., 2016). Drought events often coincide with increased
temperature, which intensifies the impact of drought on ecosystems (Allen et
al., 2015; Liu et al., 2017), resulting in nonlinear responses in mortality
rates (Adams et al., 2009, 2017a). The evaluation of C cycling
in VDMs with doubling of CO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (only “beta effect”) showed a large
carbon sink in a tropical forest (Holm et al., 2020), but the inclusion of
climate interactions in VDMs needs to be further explored.</p>
      <?pagebreak page2121?><p id="d1e977">Here, we relate ecosystem responses to UCEs by calculating a
“severity-drought index” (Fig. 1b and see Sect. 2.3), which integrates C
loss from the beginning of the drought until the time when C stocks have
recovered to 50 % of the pre-drought level. In response to drought,
warming, and eCO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, divergent potential C responses (gains and losses;
Fig. 1c) can be expected (Keenan et al., 2013; Zhu et al., 2016; Adams et
al., 2017a). For example, a grassland macrocosm experiment found that
eCO<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> completely compensated for the negative impact of extreme drought
on net carbon uptake due to increased root growth and plant nitrogen uptake
and led to enhanced post-drought recovery (Roy et al., 2016). However, a
16-year grassland Free-Air Carbon dioxide Enrichment (FACE) and the Soybean Free Air Concentration Enrichment (SoyFACE) experiment showed that CO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
fertilization effects were reduced or eliminated under hotter and/or drier
conditions (Gray et al., 2016; Obermeier et al., 2016). Reich et al. (2014)
also found that CO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization effects were reduced in a perennial
grassland by water and nitrogen limitation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1018">Conceptual diagrams showing impacts of extreme droughts
(unprecedented climate extremes, UCEs; i.e., record-breaking droughts) on
plant C stocks. <bold>(a)</bold> Conceptual diagram of UCE C loss: potential loss in C
stock as a function of increasing drought intensity (0 %–100 % precipitation
removal) and drought duration (1, 2, or 4 years of drought). In this example,
an arbitrary threshold of 45 % precipitation reduction and 4-year drought
duration is assumed to correspond to a UCE. Hypotheses include nonlinear and
threshold responses to drought intensity (H1a), drought duration via
different slope responses (H1b), and combined effects of both drought
intensity and durations (H1c). <bold>(b)</bold> Conceptualized diagram of integrated C
change: responses of forest C stocks to a large (grey) and small (black)
UCE. “Severity-drought index” (kg C m<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr) denotes the integral of
the C loss over time and is calculated from the two arrows: the total loss
in C (kg C m<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) due to drought and the time (year) to recover 50 % of
the pre-drought C stock. <bold>(c)</bold> Conceptualized UCE-climate C change diagram:
hypothetical response in terrestrial “severity-climate index” (kg C m<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr) due to eCO<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (blue line), rising temperature (red line),
interaction between eCO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and temperature (dashed purple), and combined
interactions among eCO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, temperature, and UCEs of prolonged durations
(green line), all relative to a reference drought of normal duration with no
warming (black line). Severity-climate index denotes the difference in
severity-drought index (see <bold>b</bold>) between a scenario of changing climatic
drivers and the reference drought with no climate change (control). <bold>(d)</bold> Conceptual UCE amplification diagram: hypothetical amplified change in
forest C stocks to eCO<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and temperature relative to the pre-warming
historical past (based on Jump et al., 2017). Change in C stock greater
than zero indicates a “structural overshoot” (SO) due to favorable
environmental conditions and/or recovery from an extreme drought–heat event
(EE). Hashed black areas indicate a structural overshoot due to eCO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
which occurs over the historical CO<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels (dashed blue line).
Initially, an eCO<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> effect leads to a larger increase in structural
overshoot (due to CO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization), driving more extreme vegetation
mortality (“mortality overshoot” – MO) relative to historical dieback events
and thus a greater decrease in C stock. Increased warming through time
increasingly counteracts any CO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization effect. While the
amplitude of post-UCE C stock recoveries remains large, net C stock values
eventually decline (downward curvature and widening of the red shaded area)
due to more pronounced loss in C stocks (and greater ecosystem state change)
from hotter UCEs and longer recovery periods. We conceptualize how
oscillations between SOs and MOs could be amplified, and the widening of the
shaded areas represents increased variability in how unprecedented eCO<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
levels and temperatures will affect ecosystems in the future compared to
historically.
SO refers to structural overshoot, MO refers to mortality overshoot, EE refers to historically
extreme drought–heat event, and UCE refers to unprecedented climate extreme.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023-f01.png"/>

        </fig>

      <p id="d1e1172">A corollary to our H2 is that conditions that favor productivity (e.g.,
longer growing seasons and/or CO<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization) will enhance
vegetation growth, leading to structural overshoot (SO; Fig. 1d; adapted
from and supported by Jump et al., 2017), and can amplify the effects of
UCEs. Enhanced vegetation growth coupled with environmental variability can
lead to exceptionally high plant-water demand during extreme drought and
water stress, resulting in a mortality overshoot (MO; Fig. 1d). We
conceptualize how oscillations between SO and associated MO could be
amplified by increasing climatic variability and UCEs (Fig. 1d).
Additionally, more climatic variability from unprecedented eCO<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> levels
and warming will contribute to unknowns in how ecosystems are affected in
the future (i.e., the widening and downward shape of the shaded areas
compared to historically, Fig. 1d). We expect, however, that a rapidly changing
climate, combined with effects of UCEs as a result of more frequent extreme
drought/heat events and drought stress, can exacerbate and amplify SOs and
MOs (Jump et al., 2017), leading to increasing C loss, even though various
buffering mechanisms exist (cf. Lloret et al., 2012; Allen et al., 2015).
Relative to our conceptual diagrams (Fig. 1d), we note that most experimental,
observational, and modeling studies (Ciais et al., 2005; da Costa et al.,
2010; Phillips et al., 2010; Meir et al., 2015) take into account only low
to moderate drought intensities (such as 50 % rain excluded) or single
events, or they combine drought with the moderate effects of temperature change.
Where there has been 100 % rain exclusion, it was on very small plots of
1.5 m<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Meir et al., 2015). As represented by the increasing amplitude
of oscillations in Fig. 1d, the interactions between increased temperatures,
UCE events, and vegetation feedbacks make ecosystem states become inherently
unpredictable, particularly over longer timescales.</p>
</sec>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Vegetation demographic model (VDM) approaches</title>
      <p id="d1e1211">We argue that VDMs are well suited to address climate change impacts due to
the inclusion of detailed process representation of dynamic plant growth,
recruitment, and mortality, resulting in changes in abundance of different
PFTs, as well as vertically stratified tree size and age class structured
ecosystem demography. Community dynamics and age/size structure are
emergent properties from competition for light, space, water, and nutrients,
which dynamically and explicitly scale up from the tree to the stand to
the ecosystem level. Within this characterization, VDMs also differ between each
other and are set up in different configurations, allowing for various
testing capabilities. For the full names of each model listed below and
references, see Table S1 in the Supplement. For example, VDMs can aggregate and track the
community-level disturbance into either patch-tiling sampling (e.g., ED2,
FATES, LM3-PPA, ORCHIDEE, JSBACH4.0) or statistical approximations (e.g.,
LPJ-GUESS, SEIB-DGVM, CABLE-POP). VDMs could also vary in representing
light competition within either multiple canopy layers (e.g., ED2, FATES,
LM3-PPA, LPJ-GUESS, SEIB-DGVM) or a single canopy (e.g., JSBACH4.0,
ORCHIDEE, CABLE-POP).</p>
      <p id="d1e1214">Powell et al. (2013) compared multiple VDMs and LSMs to interpret ecosystem
responses to long-term droughts in the Amazon and are informative when
conducting model–data comparisons, but studies of the cascade of ecosystem
responses and mortality to UCEs are lacking. In a cutting-edge area of
development, new mechanistic implementation of plant competition for water
and plant hydraulics in VDMs (i.e., hydrodynamics) is improving our
understanding of plant-water relations and stresses within plants, such as
with TFSv.1-Hydro (Christoffersen et al., 2016), ED2-hydro (Xu et al.,
2016) and FATES-HYDRO (Ma et al., 2021; Fang et al., 2022), compared to
a more simplistic representation of a plant acquiring soil moisture not
connected to plant physiology (e.g., LPJ-GUESS, LM3-PPA, CABLE-POP,
SEIB-DGVM). For hydrodynamic representations in “big-leaf” LSMs such as
CLM5, JULES, and Noah-MP-PHS see Kennedy et al. (2019), Eller et al. (2020), and Li et al. (2021) respectively.</p>
      <p id="d1e1217">The Discussion section provides a deeper investigation of model response to
UCEs related to droughts. An exhaustive review of all VDMs and all plant
processes is too large to be done here. Existing review papers of different
VDM developments, processes, and uncertainties can be found in Fisher et
al. (2018), Bonan (2019), Trugman et al. (2019), Hanbury-Brown et al. (2022), and Bugmann and Seidl (2022), as well as, specifically related to plant
hydraulics, Mencuccini et al. (2019) and Anderegg and Venturas (2020). We
use LPJ-GUESS and ED2 as example VDMs in an initial guide framework to
explore hypotheses around vegetation mortality and severity index from UCEs
and climate change impacts and highlight limiting model processes. Since
field data needed to evaluate UCE responses are, by definition,<?pagebreak page2122?> unavailable,
we do not perform model–data comparisons. Rather, we use the model results
and conceptual framework as a road map to explore our hypotheses and
illustrate their implications for ecosystem responses under UCEs, not
historical drought events.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>LPJ-GUESS and ED2 model descriptions</title>
      <p id="d1e1227">We explored our hypotheses at forested ecosystems in Australia and Central
America using two VDMs: the Lund–Potsdam–Jena General Ecosystem Simulator
(LPJ-GUESS) (Smith et al., 2001) version 3.0 (Smith et al., 2014) and the Ecosystem
Demography model 2 (ED2) (Medvigy et al.,<?pagebreak page2123?> 2009; Medvigy and Moorcroft,
2012). Both LPJ-GUESS and ED2 resolve vegetation into tree cohorts
characterized by their PFT, in addition to age class in LPJ-GUESS and size
and stem number density in ED2. Both models are driven by external
environmental drivers (e.g., temperature, precipitation, solar radiation,
atmospheric CO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration, nitrogen deposition) and soil
properties (soil texture, depth, etc.) and also depend on dynamic ecosystem
state, which includes light attenuation, soil moisture, and soil nutrient
availability. Establishment and growth of PFTs, and their carbon, nitrogen,
and water cycles, are simulated across multiple patches per grid cell to
account for landscape heterogeneity. Both models characterize PFTs by
physiological and bioclimatic parameters, which vary between the models
(Smith et al., 2001, 2014; Medvigy et al., 2009; Medvigy and
Moorcroft, 2012).</p>
      <p id="d1e1239">The LPJ-GUESS includes three woody PFTs: evergreen, intermediate evergreen,
and deciduous PFTs. Mortality in LPJ-GUESS is governed by a
“growth-efficiency”-based function (kg C m<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> leaf yr<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which
captures the effects of water deficit, shading, heat stress, and tree size on
plant productivity relative to its resource-uptake capacity (leaf area),
with a threshold below which stress-related mortality risk increases
markedly, in addition to background senescence and exogenous disturbances.
Stress mortality can be reduced by plants using labile carbon storage,
modeled implicitly using a “C debt” approach, which buffers low
productivity, enhancing resilience to milder extremes (more details are
given in Sect. 4.1.4). Total mortality can thus be impacted by variation
in environmental conditions such as water limitation, low light conditions,
and nutrient constraints, as well as current stand structure (Smith et al.,
2001; Hickler et al., 2004).</p>
      <p id="d1e1266">The ED2 version used here (Xu et al., 2016) includes four woody PFTs:
evergreen, intermediate evergreen, deciduous, brevi-deciduous, and deciduous
stem succulent. This ED2 version includes coupled photosynthesis, plant
hydraulics, and soil hydraulic modules (Xu et al., 2016), which together
determine plant-water stress. The plant hydraulics module tracks water flow
along a soil–plant–atmosphere continuum, connecting leaf water potential,
stem sap flow, and transpiration, thus influencing controls on
photosynthetic capacity, stomatal closure, phenology, and mortality. Leaf
water potential depends on time-varying environmental conditions as well as
time-invariant PFT traits. Leaf shedding is triggered when leaf water
potential falls below the turgor loss point (a PFT trait) for a sufficient
amount of time. Leaf flushing occurs when stem water potential remains high
(above half of the turgor loss point) for a sufficient time (see Xu et al.,
2016, for details). PFTs differ in their hydraulic traits, wood density,
specific leaf area, allometries, rooting depth, and other traits.
Stress-based mortality in the ED2 version used here includes two main
physiological pathways in our current understanding of drought mortality
(McDowell et al., 2013): C starvation and hydraulic failure. Mortality due
to C starvation in ED2 results from a reduction of C storage, a proxy for
non-structural carbohydrate (NSC) storage, which integrates the balance of
photosynthetic gain and maintenance cost under different levels of light and
moisture availability. Mortality due to hydraulic failure in ED2 is based on
the percentage loss of stem conductivity. ED2 also includes a
density-independent senescence mortality rate based on wood density.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Modeling guide</title>
      <p id="d1e1278">To exemplify how VDMs can be tools to explore new hypotheses related to UCEs,
we applied the models at two field sites that were chosen due to being
extensively studied, and the models used here have already been run at these
sites and previously benchmarked against field data (see Xu et al., 2016;
Medlyn et al., 2016; Medvigy et al., 2019, for model–data validation). The
purpose of this paper was not to do a large multi-site comparison but
rather to just select a few for hypothesis testing. In addition, the two sites
span a range of vegetation types and are in warm, seasonally dry climates
that are more likely to experience droughts in the future (Allen et al.,
2017). The first is a mature eucalyptus (<italic>E. tereticornis</italic>) warm-temperate–subtropical transitional
forest that is the site of the Eucalyptus Free Air CO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment
(EucFACE) experiment in western Sydney, Australia (Medlyn et al., 2016;
Ellsworth et al., 2017; Jiang et al., 2020). The second site is a seasonally
dry tropical forest in the Parque Nacional Palo Verde in Costa Rica (Powers
et al., 2009). Site description details can be found in the Supplement, in Sect. S1.</p>
      <p id="d1e1293">We performed a 100-year “baseline” simulation for each model at each site
driven by constant near-ambient atmospheric CO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (400 ppm) and
recycled historical site-specific climate data (1992–2011 for EucFACE and
1970–2012 for Palo Verde; Sheffield et al., 2006) in the absence of drought
treatments. A detailed description of the meteorological data and initial
conditions used to drive the models is in Sect. S1. The two
models were previously tuned for each site (Xu et al., 2016; Medlyn et al.,
2016), and no additional site-level parameter tuning was conducted here due
to evaluating responses from hypothetical UCEs. To describe the ecosystem
impact of UCEs, we simulated 10 years of pre-drought conditions (continuing
from the baseline simulation), followed by drought treatments that differed
in intensity and duration, and followed by a 100-year post-drought recovery
period. To explore the effects of drought intensity, we conducted 20 different artificial drought intensity simulations, in which precipitation
during the whole year is reduced by 5 % to 100 % of its original amount
in increments of 5 %. To explore the effects of drought duration, the 20
different drought intensities are maintained over 1, 2, and 4 years (Table S2). We examined model responses of aboveground biomass, leaf area index
(LAI), stem density (number ha<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), plant-available soil water (mm),
plant C storage (kg C m<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), change in stem mortality rate (yr<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
and PFT composition.</p>
      <?pagebreak page2124?><p id="d1e1341"><?xmltex \hack{\newpage}?>To explore how temperature, eCO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration, and UCE droughts
influence forest C dynamics individually and in combination, we implemented
the following five experimental scenarios, some realistic and others
hypothetical, for each model (Table S2): increased temperature only (<inline-formula><mml:math id="M68" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>2 K
over ambient), two experiments with eCO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> only (600 and 800 ppm), and two experiments with both increased
temperature and eCO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M71" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>2 K 600 ppm; <inline-formula><mml:math id="M72" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K 800 ppm). Temperature and
eCO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> manipulations were applied as step increases over the baseline
conditions and are artificial scenarios as opposed to model-generated
climate projections.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Linking concepts, hypotheses, and model outcomes</title>
      <p id="d1e1411">To relate our simulation results to Fig. 1a, we compared the total biomass
loss as a result of each drought treatment by calculating the percentage of
biomass reduction at the end of the drought period relative to the baseline
(no drought) simulation. To explicitly consider biomass recovery rates over
time, we calculated the severity-drought index (Eqs. 1–3), as a result of
drought under the current climate, which is determined based on the concepts in
Fig. 1b. We defined severity-drought index as the time-integrated carbon
in biomass that is lost due to drought relative to what the vegetation would
have stored in the absence of drought. That is, it is the difference between
biomass in the presence of drought (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at time (<inline-formula><mml:math id="M75" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>) and biomass in the
baseline simulation (no drought; <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), integrated over a defined
recovery time period (in kg C m<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr):
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M78" display="block"><mml:mrow><mml:mtext>Severity-drought index</mml:mtext><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:munderover><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced></mml:mrow></mml:mfenced><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          To define the bounds of integration, in Eq. (1), <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is defined as the time
when the maximum amount of plant C is lost as a result of the drought:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M80" display="block"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">max⁡</mml:mo><mml:mi>t</mml:mi></mml:munder><mml:mo>[</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi>t</mml:mi></mml:mfenced><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          Then, <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is defined implicitly as the time when 50 % of the lost
biomass has been recovered compared to the baseline:
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M82" display="block"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><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>(</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">d</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          since all severity-drought index results are taken as the difference from a
non-drought baseline biomass (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi mathvariant="normal">base</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and all droughts will result in a
loss of C.</p>
      <p id="d1e1686">We also use the severity-drought index as a starting point to examine the
role of drought, temperature, and eCO<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> change for moderating or
exacerbating the impacts of drought on forest C stocks, i.e., to evaluate
the hypotheses illustrated in Fig. 1c. To assess these impacts of changing
climates, we calculate a severity-climate index (Eq. 4), defined as the
difference between the severity-drought index due to drought alone (Eqs. 1–3) under the present climate and the severity index due to the combined
effects of drought and climate change (i.e., five scenarios of temperature
increase and eCO<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), still integrated over time to account for recovery:
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M86" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mtext>Severity-climate index</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mtext>severity-drought index</mml:mtext><mml:mi mathvariant="normal">drought</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mtext>severity-drought index</mml:mtext><mml:mrow><mml:mi mathvariant="normal">drought</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">CC</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula>
          Because we expect drought to reduce vegetation C stocks, and thus
the severity-climate index to be negative, positive values of the severity-climate
index indicate that changes in climatic drivers ameliorate the C losses from
drought (i.e., buffering effects). Negative values of the severity-climate index
indicate that the climate change scenario leads to either greater C losses
or losses that persist for longer amounts of time (i.e., magnitude and/or
duration) compared to a simulation with no climate change (i.e., “control”
run).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d1e1757">As a basis for the treatment results presented here, we compared the
baseline simulations (prior to drought or climate change treatments) of the
two VDMs against observations and found strong model validation at both
sites (Table S3, Fig. S1, Sect. S1 in the Supplement). These models are well-documented and investigated VDMs, with many studies that have looked into
parameter uncertainty (see Sect. S1 for select references that
explore model/parameter sensitivity).</p>
      <p id="d1e1760">The models displayed varied nonlinear responses to drought, differing
substantially in their behavior and between sites. In general, ED2 shows
sensitivity to drought duration (Hypothesis H1b), while LPJ-GUESS shows a
stronger sensitivity to drought intensity (Hypothesis H1a). ED2's
sensitivity to the duration of drought was mild at Palo Verde (Fig. 2a) and
stronger at EucFACE, particularly during the 4-year drought, with a strong
non-monotonic pattern (see explanation below) (Fig. 2b). When reporting only
the percentage of biomass loss, ED2 predicts close to no UCE response at Palo
Verde, with a maximum biomass reduction of only 40 % during 95 %
precipitation removal and a 4-year drought event (i.e., UCE). LPJ-GUESS
shows threshold-tipping patterns highly sensitive to drought intensity. The C
loss predicted by LPJ-GUESS at Palo Verde reached a threshold at
<inline-formula><mml:math id="M87" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 65 % drought intensity, after which forests exhibit strong
biomass losses up to 100 % (Fig. 2a). At the EucFACE site, both models
predict a critical threshold of biomass loss at 35 %–45 % drought
intensity, with LPJ-GUESS predicting total biomass loss (up to 100 %)
after this drought intensity threshold (Fig. 2b). The EucFACE drought
threshold is lower than that of the seasonally dry mixed tropical forest in
Palo Verde.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1772">Modeled change in biomass (%) at the end of drought periods of
different lengths (1-, 2-, and 4-year droughts) and intensities (up to 95 %
precipitation removed) at <bold>(a)</bold> Palo Verde and <bold>(b)</bold> EucFACE for the ED2 and
LPJ-GUESS models. Modeled severity-drought index (C reduction due to extreme
drought integrated over time until biomass recovers to 50 % of the
non-drought baseline biomass) at <bold>(c)</bold> Palo Verde and <bold>(d)</bold> EucFACE.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023-f02.png"/>

      </fig>

      <p id="d1e1794">With respect to C loss over a recovering time period (severity-drought
index), the two models predict similar drought responses at Palo Verde (Fig. 2c) but not at EucFACE (Fig. 2d). At Palo Verde, the similarity between
models in severity-drought index reflected longer biomass<?pagebreak page2125?> recovery time but
less biomass loss in the short term in ED2 relative to LPJ-GUESS, which
predicted greater biomass loss immediately after a drought but shorter
recovery time. With the exception of the 1-year drought in ED2, both models
predict a similar severity-drought index across a range of UCEs at Palo Verde
via different pathways. The severity-drought index revealed an exacerbated
response to drought duration in ED2, with drought durations greater than 1
year (Fig. 2c), compared to when only examining loss in biomass at the time
of the event (Fig. 2a). The “V”-shaped patterns observed particularly in
Fig. 2b arise from interactions between whole-leaf phenology and stomatal
responses to drought in ED2. For drought intensities lower than 40 %,
stomatal conductance is reduced but leaves are not fully shed. Leaf
respiration continues, gradually depleting non-structural C pools, followed
by a loss of biomass. However, for higher drought intensities, leaf water
potentials quickly become systematically lower than leaf turgor loss points,
and tree cohorts shed all their leaves. This strategy represents an
immediate loss of C via leaf shedding but spares the cohort from slow,
respiration-driven depletion of C stocks.</p>
<sec id="Ch1.S3.SSx1" specific-use="unnumbered">
  <?xmltex \opttitle{Predicted model responses to UCE droughts combined with increased
temperature and/or eCO${}_{{2}}$}?><title>Predicted model responses to UCE droughts combined with increased
temperature and/or eCO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></title>
      <p id="d1e1811">Relating to our second hypothesis of the additional effects of warming and
eCO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, we tested 15 treatments in total, repeating the five climate
change scenarios for each of the three drought durations. With the addition
of climate change impacts, ED2 remained sensitive to the duration of
drought, with warming negatively impacting severity-climate index most
consistently during the 2- and 4-year drought durations. ED2 predicts that
during the 2- and 4-year droughts at EucFACE losses are exacerbated when
accompanied by warming, even with eCO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, with 600 ppm having a more
detrimental impact than the more elevated 800 ppm (Fig. 3b–c). The average
severity-climate index was <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">111.0</mml:mn></mml:mrow></mml:math></inline-formula> kg C m<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr across all 15 treatments
(Table 2). Only during the 1-year drought duration did drought plus warming
and eCO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> have a buffering effect on C stocks, seen in four out of our
five scenarios but only during relatively modest drought intensities (Fig. 3a; i.e., positive severity-climate index, see also Table 2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1865">Vegetation C response to interactions between drought intensity
(0 % to 100 % precipitation reduction), drought durations (1, 2, 4-year
droughts), and idealized scenarios of warming and eCO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> compared to
the control simulation, simulated by two VDMs: ED2 <bold>(a–f)</bold> and LPJ-GUESS <bold>(g–l)</bold>
at two sites (EucFACE and Palo Verde). The scenarios include a control
(current temperature; 400 ppm atmospheric CO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), two eCO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> scenarios
(600 or 800 ppm), elevated temperature (2 K above current), and a
combination of eCO<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (600 or 800 ppm) and higher temperature.
Vegetation response is quantified as severity-climate index (in kg C m<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr; Eq. 4), which is defined as the difference between
severity-drought index (i.e., carbon loss due to only drought) and a given
scenario of drought plus change in climatic drivers, relative to the control
(i.e., no climate change). Negative values for severity-climate index
indicate that warming and/or eCO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> leads to stronger C losses and/or
longer recovery, while positive values for severity-climate index indicate
a buffering effect.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023-f03.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1941">Impact of eCO<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and/or temperature on the severity-climate index
(kg C m<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr) relative to drought treatments with no additional warming
or eCO<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> for both models and both sites seen in Fig. 3. Quantified as
the average and minimum severity-climate index across all 20 drought intensities
for step-change scenarios of warming and eCO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The percentage of each
scenario that was negative in the severity-climate index (i.e., decreases in C
loss). Bold values represent positive severity-climate index.</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="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right" colsep="1"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2">EucFACE </oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center" colsep="1">ED2 </oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col8" align="center">LPJ-GUESS </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Average</oasis:entry>
         <oasis:entry colname="col4">Largest</oasis:entry>
         <oasis:entry colname="col5">% climate</oasis:entry>
         <oasis:entry colname="col6">Average</oasis:entry>
         <oasis:entry colname="col7">Largest</oasis:entry>
         <oasis:entry colname="col8">% climate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">severity-</oasis:entry>
         <oasis:entry colname="col4">severity-</oasis:entry>
         <oasis:entry colname="col5">scenario</oasis:entry>
         <oasis:entry colname="col6">severity-</oasis:entry>
         <oasis:entry colname="col7">severity-</oasis:entry>
         <oasis:entry colname="col8">scenario</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">climate</oasis:entry>
         <oasis:entry colname="col4">climate</oasis:entry>
         <oasis:entry colname="col5">was</oasis:entry>
         <oasis:entry colname="col6">climate</oasis:entry>
         <oasis:entry colname="col7">climate</oasis:entry>
         <oasis:entry colname="col8">was</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">index</oasis:entry>
         <oasis:entry colname="col4">index</oasis:entry>
         <oasis:entry colname="col5">negative</oasis:entry>
         <oasis:entry colname="col6">index</oasis:entry>
         <oasis:entry colname="col7">index</oasis:entry>
         <oasis:entry colname="col8">negative</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>2.2</bold></oasis:entry>
         <oasis:entry colname="col4">0.0</oasis:entry>
         <oasis:entry colname="col5">33.3</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>74.6</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>396.6</oasis:entry>
         <oasis:entry colname="col8">36.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.0</oasis:entry>
         <oasis:entry colname="col5">50.0</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M108" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>124.1</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>416.0</oasis:entry>
         <oasis:entry colname="col8">57.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><bold>2.3</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M110" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col5">16.7</oasis:entry>
         <oasis:entry colname="col6"><bold>21.3</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.8</oasis:entry>
         <oasis:entry colname="col8">15.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>0.5</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.2</oasis:entry>
         <oasis:entry colname="col5">61.1</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>67.5</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>201.5</oasis:entry>
         <oasis:entry colname="col8">78.9</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>1.8</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>
         <oasis:entry colname="col5">22.2</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>145.9</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>400.1</oasis:entry>
         <oasis:entry colname="col8">47.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>456.7</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>85.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M121" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>260.6</oasis:entry>
         <oasis:entry colname="col8">63.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>199.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>522.9</oasis:entry>
         <oasis:entry colname="col5">83.3</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>106.3</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>350.1</oasis:entry>
         <oasis:entry colname="col8">42.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.3</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M127" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.7</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><bold>14.2</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>35.2</oasis:entry>
         <oasis:entry colname="col8">31.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>204.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>666.1</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M131" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>47.6</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M132" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>128.8</oasis:entry>
         <oasis:entry colname="col8">84.2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M134" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>61.6</oasis:entry>
         <oasis:entry colname="col5">50.0</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>167.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>421.9</oasis:entry>
         <oasis:entry colname="col8">68.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>125.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>306.2</oasis:entry>
         <oasis:entry colname="col5">83.3</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>122.6</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M140" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>277.4</oasis:entry>
         <oasis:entry colname="col8">94.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>277.1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>423.3</oasis:entry>
         <oasis:entry colname="col5">100.0</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>212.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>523.7</oasis:entry>
         <oasis:entry colname="col8">89.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>61.8</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>188.6</oasis:entry>
         <oasis:entry colname="col5">72.2</oasis:entry>
         <oasis:entry colname="col6"><bold>12.9</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8</oasis:entry>
         <oasis:entry colname="col8">31.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>385.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>674.2</oasis:entry>
         <oasis:entry colname="col5">94.4</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>79.1</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>197.3</oasis:entry>
         <oasis:entry colname="col8">94.7</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>277.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>737.7</oasis:entry>
         <oasis:entry colname="col5">72.2</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M154" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>247.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>503.8</oasis:entry>
         <oasis:entry colname="col8">100.0</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>111.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>277.0</oasis:entry>
         <oasis:entry colname="col5">64.8</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>95.4</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>276.5</oasis:entry>
         <oasis:entry colname="col8">62.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2">Palo Verde </oasis:entry>
         <oasis:entry namest="col3" nameend="col5" align="center" colsep="1">ED2 </oasis:entry>
         <oasis:entry namest="col6" nameend="col8" align="center">LPJ-GUESS </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.2</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.4</oasis:entry>
         <oasis:entry colname="col8">78.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>6.7</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2</oasis:entry>
         <oasis:entry colname="col5">11.1</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>154.0</oasis:entry>
         <oasis:entry colname="col8">100.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15.3</oasis:entry>
         <oasis:entry colname="col5">38.9</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.4</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75.1</oasis:entry>
         <oasis:entry colname="col8">100.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>2.5</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1</oasis:entry>
         <oasis:entry colname="col5">22.2</oasis:entry>
         <oasis:entry colname="col6"><bold>6.5</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.6</oasis:entry>
         <oasis:entry colname="col8">52.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.6</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.6</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>121.1</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>237.7</oasis:entry>
         <oasis:entry colname="col8">100.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>15.1</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.7</oasis:entry>
         <oasis:entry colname="col5">38.9</oasis:entry>
         <oasis:entry colname="col6"><bold>27.3</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M178" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.0</oasis:entry>
         <oasis:entry colname="col8">10.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>229.2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>756.6</oasis:entry>
         <oasis:entry colname="col5">66.7</oasis:entry>
         <oasis:entry colname="col6"><bold>20.6</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.2</oasis:entry>
         <oasis:entry colname="col8">26.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M182" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>71.8</oasis:entry>
         <oasis:entry colname="col5">50.0</oasis:entry>
         <oasis:entry colname="col6"><bold>32.0</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.7</oasis:entry>
         <oasis:entry colname="col8">15.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>24.8</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.7</oasis:entry>
         <oasis:entry colname="col5">11.1</oasis:entry>
         <oasis:entry colname="col6"><bold>36.2</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.2</oasis:entry>
         <oasis:entry colname="col8">5.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>152.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M188" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>348.1</oasis:entry>
         <oasis:entry colname="col5">77.8</oasis:entry>
         <oasis:entry colname="col6"><bold>8.0</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M189" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54.5</oasis:entry>
         <oasis:entry colname="col8">36.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4 year</oasis:entry>
         <oasis:entry colname="col2">600 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.1</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37.3</oasis:entry>
         <oasis:entry colname="col5">94.4</oasis:entry>
         <oasis:entry colname="col6"><bold>3.4</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M192" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.1</oasis:entry>
         <oasis:entry colname="col8">26.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>260.2</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>694.8</oasis:entry>
         <oasis:entry colname="col5">94.4</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.2</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>132.6</oasis:entry>
         <oasis:entry colname="col8">57.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>39.0</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>133.8</oasis:entry>
         <oasis:entry colname="col5">66.7</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.7</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M200" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45.9</oasis:entry>
         <oasis:entry colname="col8">68.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 600 ppm</oasis:entry>
         <oasis:entry colname="col3"><bold>1.0</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.4</oasis:entry>
         <oasis:entry colname="col5">38.9</oasis:entry>
         <oasis:entry colname="col6"><bold>6.1</bold></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.1</oasis:entry>
         <oasis:entry colname="col8">31.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2 K, 800 ppm</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>148.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M204" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>429.3</oasis:entry>
         <oasis:entry colname="col5">83.3</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M205" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.0</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M206" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75.5</oasis:entry>
         <oasis:entry colname="col8">78.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M207" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>53.9</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M208" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>170.0</oasis:entry>
         <oasis:entry colname="col5">56.7</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M209" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.8</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M210" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>58.6</oasis:entry>
         <oasis:entry colname="col8">52.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

      <?pagebreak page2126?><p id="d1e3677">The ED2 simulations of the seasonally dry Palo Verde site (Fig. 3d–f)
produced less-frequent negative impacts on drought and climate-change-driven
C losses compared to EucFACE, with an average severity-climate index of
<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.9</mml:mn></mml:mrow></mml:math></inline-formula> kg C m<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr across all 15 treatments (Table 2). During the 2-year
drought, applying <inline-formula><mml:math id="M213" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K with eCO<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to 600 ppm showed a slight buffering
effect to droughts and the most consistent positive severity-climate index
(Fig. 3e; Table 2). Interestingly, an increase in only eCO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to 800 ppm (no warming) when applied with the 2- and 4-year droughts resulted in
the largest loss in carbon (Fig. 3e–f), larger than the expected “most
severe” scenario, <inline-formula><mml:math id="M216" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K and 800 ppm.</p>
      <p id="d1e3735">Similar to ED2, the LPJ-GUESS model showed a nearly complete negative
response in severity-climate index as a result of UCE drought and scenarios
of warming and eCO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at the EucFACE site (Fig. 3g–i) but showed mixed and more
muted results at Palo Verde (Fig. 3j–l, Table 2). The average
severity-climate index relative to the no climate change control case was
<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">95.4</mml:mn></mml:mrow></mml:math></inline-formula> at EucFACE and <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn></mml:mrow></mml:math></inline-formula> kg C m<inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr at Palo Verde, both less negative
compared to ED2. One<?pagebreak page2127?> notable pattern was that up until a drought intensity
threshold of <inline-formula><mml:math id="M221" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 %, the climate scenarios had no effect or
response in severity-climate index at EucFACE and a muted response from
warming and eCO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> at Palo Verde, compared to ED2. Surprisingly, the <inline-formula><mml:math id="M223" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K
scenario switched the severity-climate index to positive, compared to the
control case (Fig. 3g–i; red lines), which is potentially a physiological process in
the model to increased temperatures only that signals an anomalous
resiliency response. Similar to the results with no climate change,
LPJ-GUESS remained sensitive to the intensity of drought, with
<inline-formula><mml:math id="M224" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 40 % precipitation reduction being a threshold.</p>
      <?pagebreak page2128?><p id="d1e3810">When comparing the VDM responses to increasing drought severity and its
interactions with warming and eCO<inline-formula><mml:math id="M225" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (related to conceptual Fig. 1d), ED2
showed a more consistent MO response during UCEs with additional warming
and eCO<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (Fig. 3; negative severity-climate index), especially at
EucFACE, suggesting these ecosystems will remain in a depressed carbon
condition driving vegetation mortality and/or longer recoveries. LPJ-GUESS
produced more opportunities for SO with climate change. For example, at
EucFACE CO<inline-formula><mml:math id="M227" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization created small SO periods that then led to
MO with increasing drought severities, and at Palo Verde all <inline-formula><mml:math id="M228" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K and 600 ppm simulations led to an SO (Fig. 3j–l; Table 2).</p>
      <p id="d1e3847">Both models predicted that C losses due to drought interactions with
increased temperature and eCO<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> were less severe at the seasonally dry
Palo Verde site compared to the somewhat less seasonal, more humid EucFACE
site (Table 2), which could be attributed to higher diversity in PFT
physiology at Palo Verde. Palo Verde's community composition that emerged
following drought included either three (LPJ-GUESS) or four (ED2) PFTs,
while only a single PFT existed at EucFACE. With rising temperatures under
climate change, UCEs will be hotter and drier. A total of 9 out of the 12
simulations with both <inline-formula><mml:math id="M230" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K and 600 ppm CO<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and all but one <inline-formula><mml:math id="M232" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2 K and
800 ppm CO<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, produced a negative severity-climate index, implying
stronger C losses and/or longer recovery times when droughts are exacerbated
by increasing temperatures (Table 2).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e3900">Vegetation demographic models (VDMs) allowed us to uniquely explore two
hypotheses regarding a range of modeled responses of terrestrial ecosystems
to unprecedented climate extremes (UCEs) and set the stage for the
following perspectives to help guide future research. Key model results
indicate strong differences in nonlinearities in C response to extreme
drought <italic>intensities</italic> in LPJ-GUESS and, alternatively, drought <italic>durations</italic> in ED2 (at one of two
sites), with differences in thresholds between the two models and
ecosystems and only the ED2 model representing impacts from combined
intensity and drought (hypothesis H1c). These nonlinearities may arise from
multiple mechanisms that we begin to investigate here, including shifts in
plant hydraulics or other functional traits, C allocation, phenology, stand
size structure and/or age demography, and compositional changes, all of which
vary among ecosystem types. A critical look at driving model mechanisms,
which emerged from the hypothetical drought simulations used here, is
summarized in Table 3. The models also show exacerbated biomass loss and
recovery times in the majority of our scenarios of warming and eCO<inline-formula><mml:math id="M234" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>,
supporting hypothesis H2. Below, we discuss the underlying mechanisms that
drive simulated ecosystem response to UCEs using the models and sites as
conceptual “experimental tools” and observational evidence from the
literature. We focus on two temporal stages of the UCE: the pre-drought
ecosystem stage characterized as the quasi-stable state of the ecosystem
prior to a UCE, which can mediate ecosystem resistance and disturbance
impact, and the post-drought recovery stage (Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e3921">Summary of the suggested critical look at driving mechanisms (e.g.,
ecosystem or plant processes and state variables) which emerged from the
hypothetical drought simulations used here to explore for future research in
manipulation experiments, data collection, and model development and
testing, as related to furthering our understanding of UCE resistance and
recovery.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="4.5cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="12cm"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">UCE drought resistance &amp; recovery summary</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Processes</oasis:entry>
         <oasis:entry colname="col2">Suggestions of driving mechanisms to further explore in data and models</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(1) Phenology schemes</oasis:entry>
         <oasis:entry colname="col2">Represent morphological and physiological traits relevant to plant-water relations; drought- deciduousness can reduce vulnerability to drought; phenology of evergreens needs more investigation.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(2) Plant hydraulics</oasis:entry>
         <oasis:entry colname="col2">Interactions between hydraulic failure (e.g., low soil moisture availability) and C limitation (e.g., stomatal closure) during drought should be included in models. Account for turgor loss, hydraulic failure traits, and costs to recover damaged xylem.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(3) Dynamic carbon allocation</oasis:entry>
         <oasis:entry colname="col2">C allocation based on eco-evolutionary optimality (EEO) and allometric partitioning theory in addition to, or replacing, ratio-based optimal partitioning theory and fixed-allocation ratios. Explore root allocation that could offset soil water deficits.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(4) Non-structural carbohydrate <?xmltex \hack{\hfill\break}?>(NSC) storage</oasis:entry>
         <oasis:entry colname="col2">Deciding best practices for NSC representation in models. Better understanding of NSC storage required to mitigate plant mortality during C starvation and interactions with avoiding hydraulic failure during severe droughts.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">State variables</oasis:entry>
         <oasis:entry colname="col2"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(5) Plant–soil water availability</oasis:entry>
         <oasis:entry colname="col2">Better quantification of the amount and accessibility of plant-available water for surviving trees, and trade-off between increased structural productivity but vulnerability to subsequent droughts. Future relevance, or benefit, of lower water demand due to thinning with UCEs.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(6) Plant functional diversity</oasis:entry>
         <oasis:entry colname="col2">Understand how higher diversity of plant physiological traits and drought-resistance strategies will enhance community resistance to drought; models still need to account for shifts in diverse functionality, including deciduousness shifts and interplay of regrowth structural overshoot followed by amplified mortality from hotter UCEs.</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(7) Stand demography</oasis:entry>
         <oasis:entry colname="col2">Large trees more vulnerable to drought; need data on changes in C stock with UCEs in high-density smaller tree stands vs. stands with larger trees. Using “self-organization” principles for modeling stand-level competition and coexistence under UCEs.</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{3}?></table-wrap>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>The role of ecosystem processes and states prior to UCEs</title>
<sec id="Ch1.S4.SS1.SSS1">
  <label>4.1.1</label><title>The role of phenology and phenological strategies prior to UCEs</title>
      <p id="d1e4044">Observations show that diversity of deciduousness contributes to successful
alternative strategies for tropical forest response to water stress
(Williams et al., 2008). For example, during the severe 1997 El Niño
drought, brevi-deciduous trees and deciduous stem succulents within a
tropical dry site in Guanacaste, Costa Rica, retained leaves during the
extreme wet-season drought, behaving differently than during normal dry
seasons (Borchert et al., 2002). Both models here predict that neither
seasonal deciduousness nor drought-deciduous phenology at the seasonally
dry tropical forest, Palo Verde (which consists of trees with different leaf
phenological strategies), acts to buffer the forest from a large drop in LAI
during UCEs (Fig. S1a–b). Even with this large decrease in LAI, ED2
predicted a very weak biomass loss at the time of UCEs (Fig. 2a), suggesting
large-scale leaf loss is not a direct mechanism of plant mortality in ED2.
Leaf loss is one component of total carbon turnover flux equations in
terrestrial models, in addition to woody loss, fine roots, and reproductive
tissues. Having a better understanding of when extreme levels of
phenological turnover contribute to stand-level mortality could be improved.
Among other turnover hypotheses explored, Pugh et al. (2020) found that
phenological turnover fluxes where just as important as mortality fluxes in
driving forest turnover time in the VDMs: LPJ-GUESS, CABLE-POP, and ORCHIDEE
but not the LSM JULES. At the EucFACE site prior to the simulated extreme
drought, LPJ-GUESS displayed strong inter-annual variability in LAI (Fig. S1a–b). This capability of large swings in LAI (5.8 to 0.8) by LPJ-GUESS
could contribute to model uncertainty and the considerable mortality
response at EucFACE.  Modeled LAI was the largest source of variability in
another ecosystem model, CABLE, when evaluating the simulated response to
CO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization (Li et al., 2018). VDMs could be improved by better
capturing different plant phenological responses to UCEs by better
representing a range of leaf-level morphological and physiological
characteristics relevant to plant-water relations such as leaf age,
retention of young leaves even during extreme droughts (Borchert et al.,
2002), and variation in hydraulic traits as a function of leaf habit
(Vargas et al., 2021) (Table 3). Two such examples are seen in the FATES
model, where the possibility for “trimming” the lowest leaf layer can occur
when leaves are in negative carbon balance due to light limitation, thus
optimizing maintenance costs and carbon gain, as well as leaf<?pagebreak page2129?> age
classifications, providing variations in leaf productivity and turnover.</p>
</sec>
<sec id="Ch1.S4.SS1.SSS2">
  <label>4.1.2</label><title>The role of plant hydraulics prior to UCEs</title>
      <p id="d1e4064">Susceptibility of plants to hydraulic stress is one of the strongest
determinants of vulnerability to drought, with loss of hydraulic
conductivity being a major predictor of drought mortality in temperate
(McDowell et al., 2013; Anderegg et al., 2015; Sperry and Love, 2015;
Venturas et al., 2021) and tropical forests (Rowland et al., 2015; Adams et
al., 2017b), as well as a tractable mortality mechanism to represent in
process-based models (Choat et al., 2018; Kennedy et al., 2019). Both
LPJ-GUESS and ED2 exhibited a wide range in amount and pattern of
plant-available water prior to drought (Fig. S1c–d), contributing to large
differences in UCE response. LPJ-GUESS, which does not simulate
hydrodynamics, predicted lower total plant-available water at both sites
compared to ED2 and subsequently simulated greater mortality and a greater
increase in plant-available water right after the UCEs as a result of less
water demand. Due to ED2 using a static mortality threshold from
conductivity loss (88 %), it likely does not accurately reproduce the wide
range of observations of drought-induced mortality. In ED2, large trees
with longer distances to transport water were at higher risk and suffered
higher mortality (Fig. 4), demonstrating how stand demography, size
structure, and tapering of xylem conduits can play an important role in
ecosystem models (Petit et al., 2008; Fisher et al., 2018). Of the VDMs that
are beginning to incorporate a continuum of hydrodynamics, e.g., ED2
(described in Methods, Sect. 2.1) and FATES-HYDRO (Fang et al., 2022, based
on Christoffersen et al., 2016), they are able to solve for transient water
from soils to roots, through the plant, and connect with transpiration
demands. Therefore, instead of the plant-water stress function being based
on soil water potentials, it is replaced with more realistic connections
to leaf water potentials. Mortality is then caused by hydraulic failure
via embolism controlled by the critical water potential (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) that
leads to 50 % loss of hydraulic conductivity. For advancements in tree-level hydrodynamic modeling see the FETCH3 model (Silva et al., 2022); for
justification for plant hydrodynamics in<?pagebreak page2130?> conjunction with multi-layer
vertical canopy profiles see Bonan et al. (2021). There are strong
interdependencies and related mechanisms connecting both hydraulic failure
(e.g., low soil moisture availability) and C limitation (e.g., stomatal
closure) during drought (McDowell et al., 2008; Adams et al., 2017b), and
these interactions should be incorporated into ecosystem modeling and further
explored (Table 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e4080">Change in basal area (m<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> ha<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) immediately following
either 1-, 2-, or 4-year droughts for six increasing size class bins (DBH, cm)
as predicted by the ED2 model for <bold>(a)</bold> the Palo Verde site, with 90 %
precipitation removed, and <bold>(b)</bold> the EucFACE site, with 50 % precipitation
removed.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023-f04.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS1.SSS3">
  <label>4.1.3</label><title>The role of carbon allocation prior to UCEs</title>
      <p id="d1e4124">Plants have a variety of strategies to buffer vulnerability to water and
nutrient stress caused by extreme droughts, such as allocating more C to
deep roots (Joslin et al., 2000; Schenk and Jackson, 2005), investing in
mycorrhizal fungi (Rapparini and Peñuelas, 2014), or reducing leaf area
without shifting leaf nutrient content (Pilon et al., 1996). Alternatively,
the presence of deep roots does not necessarily lead to deep soil moisture
utilization, as seen in a 6-year Amazonian throughfall exclusion experiment
where deep root water uptake was still limited, even with high volumetric
water content (Markewitz et al., 2010). Elevated CO<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> alone will enhance
growth and water-use efficiency (Keenan et al., 2013), reducing
susceptibility to drought. However, such increased productivity within a
forest stand, and associated structural overshoot during favorable climate
windows, can also be reversed by increased competition for light, nutrients,
and water during unfavorable UCEs – potentially leading to mortality
overshoot (Fig. 1d) and higher C loss. Mortality overshoot, as a result of
structural overshoot, could be an explanation for the negative
severity-climate index (i.e., C loss) in the majority of eCO<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-only
simulations (18 out of 24 scenarios; Table 2).</p>
      <p id="d1e4145">Effects of CO<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization on plant C allocation strategies are
uncertain. As a result, ecosystem models differ in their assumptions on
controls of C allocation in response to eCO<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, leading to divergent
plant C use efficiencies (Fleischer et al., 2019). Global-scale terrestrial
models are beginning to include optimal dynamic C allocation schemes, over
fixed ratios, that account for concurrent environmental constraints on
plants, such as water, and adjust allocation based on resource availability
such as in LM3-PPA (Weng et al., 2015), but the representation of C
allocation is still debated and progressing (De Kauwe et al., 2014;
Montané et al., 2017; Reyes et al., 2017). Options for carbon allocation
strategies can be based on the allometric partitioning theory (i.e., allocation
follows a power allometry function between plant size and organs, which is
insensitive to environmental conditions; Niklas, 1993) as an alternative to
ratio-based optimal partitioning theory (i.e., allocation to plant organs
based on the most limiting resources) (McCarthy and Enquist, 2007) or fixed
ratios (Table 3), and the strategies should be further investigated,
particularly due to VDMs' substantial use of allometric relationships. A
meta-analysis of 164 studies found that allometric partitioning theory
outperformed optimal partitioning theory in explaining drought-induced
changes in C allocation (Eziz et al., 2017). Further
eco-evolutionarily based approaches such as optimal response or
game-theoretic optimization, as well as entropy-based approaches, are useful
when wanting to simulate higher levels of complexity (reviewed in Franklin
et al., 2012). With more frequent UCEs and the need for plants to reduce
water consumption, a shift in the optimal strategy of allocation between
leaves and fine roots should change. The goal functions (e.g., fitness
proxy) used in optimal response modeling can account for these shifts in
costs and benefits of allocation between all organs (Franklin et al., 2009,
2012).</p>
</sec>
<sec id="Ch1.S4.SS1.SSS4">
  <label>4.1.4</label><title>The role of plant carbon storage prior to UCEs</title>
      <p id="d1e4174">Studies of neotropical and temperate seedlings show that pre-drought storage
of non-structural carbohydrates (NSCs) provides the resources needed for
growth, respiration osmoregulation, and phloem transport when stomata close
during subsequent periods of water stress (Myers and Kitajima, 2007; Dietze
and Matthes, 2014; O'Brien et al., 2014). Furthermore, direct correlations
have been shown between NSC depletion and embolism accumulation and between the
degree of pre-stress reserves and the utilization of soluble sugars (Tomasella
et al., 2020). The amount of NSC storage required to mitigate plant
mortality during C starvation and interactions with hydraulic failure from
severe drought is difficult to quantify due to the many roles of NSCs in
plant function and metabolism (Dietze and Matthes, 2014). For example, NSCs
were not depleted after 13 years of experimental drought in the Brazilian
Amazon (Rowland et al., 2015). As atmospheric CO<inline-formula><mml:math id="M243" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increases with
climate change, NSC concentrations may increase, as seen in manipulation
experiments (Coley et al., 2002), but interactions with heat, water stress,
enhanced leaf shedding, and nutrient limitation complicate this
relationship and need to be further explored. Despite the recognition of
the critical role that plant hydraulic functioning and NSCs play in tree
resilience to extremes, knowledge gaps and uncertainties preclude fully
incorporating these processes into ecosystem models.</p>
      <?pagebreak page2131?><p id="d1e4186">Compared to ED2, LPJ-GUESS predicted low plant carbon storage (a model proxy
for NSCs) prior to and during drought and at times became negative, thereby
creating C costs (Fig. S2a–b), leading to C starvation and potentially
explaining the larger biomass loss in LPJ-GUESS at both sites.
Alternatively, ED2 maintained higher levels of NSCs, providing a buffer to
stress and mitigating the negative effects of drought. Maintenance of NSCs
in ED2 even during prolonged drought (at EucFACE) is due to (1) trees
resorbing a fraction of leaf C during leaf shedding, (2) no maintenance
costs for NSC storage in the current version, and (3) no allocation of NSCs
to structural growth until NSC storage surpasses a threshold (the amount of
C needed to build a full canopy of leaves and associated fine roots),
allowing a buffer to accumulate. In LPJ-GUESS, accumulation and
depletion of NSC are recorded as a C debt being paid back in later years.
The contrasting responses of the two models to drought, and the likely role
of NSCs in explaining differences in model behavior, highlight the need to
better understand NSC dynamics and to accurately represent the relevant
processes in models (Richardson et al., 2013; Dietze and Matthes, 2014).
More observations of C accumulation patterns and how/where NSCs drive
growth, respiration, transport, and cellular water relations would enable a
more realistic implementation of NSC dynamics in models (Table 3).</p>
</sec>
<sec id="Ch1.S4.SS1.SSS5">
  <label>4.1.5</label><title>Role of functional trait diversity prior to UCEs</title>
      <p id="d1e4198">Currently, LPJ-GUESS simulates the Palo Verde community using three PFTs,
while ED2 uses four PFTs that differ in photosynthetic and hydraulic traits.
The community composition simulated by ED2 is shown to be more resistant to
UCEs compared to LPJ-GUESS (Fig. 5), perhaps due to relatively higher
functional diversity (via more PFTs with additional phenological and
hydraulic diversity). This additional diversity helps to buffer ecosystem
response to drought by allowing more tolerant PFTs to benefit from
reductions in less tolerant PFTs, thus buffering reductions in ecosystem
function (Anderegg et al., 2018). Higher-diversity ecosystems were found to
protect individual species from the negative effects of drought (Aguirre et al.,
2021) and enhance productivity resilience following wildfire (Spasojevic et
al., 2016); thus, functionally diverse communities may be key to enhancing
tolerance to rising environmental stress.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4203">Percent change in community composition, represented by plant
functional type (PFT), the year following three drought durations of UCEs
(1-, 2-, and 4-year droughts and 90 % precipitation removed) as well as 15 years after droughts for the tropical Palo Verde site by <bold>(a)</bold> LPJ-GUESS
reported in biomass change and <bold>(b)</bold> ED2 reported in LAI change. Even though
Ds had the strongest recovery, it should be noted it was the least abundant
PFT at this site. Evgr. refers to evergreen, Int. Evgr. refers to intermediate
evergreen, Decid. refers to deciduous, BD refers to brevi-deciduous, and Ds refers to deciduous
stem succulent. The EucFACE data are not shown because only one PFT was present
(evergreen tree).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/2117/2023/bg-20-2117-2023-f05.png"/>

          </fig>

      <p id="d1e4218">Recent efforts to consolidate information on plant traits (Reich et al.,
2007; Kattge et al., 2011) have contributed to identifying relationships
that can impact community-level drought responses (Skelton et al., 2015;
Anderegg et al., 2016a; Uriarte et al., 2016; Greenwood et al., 2017), such
as life-history characteristics, and strategies of resource acquisition and
conservation as predictors of ecosystem resistance (MacGillivray and Grime,
1995; Ruppert et al., 2015). While adding plant trait complexity in ESMs may
be required to accurately simulate key vegetation dynamics, it necessitates
more detailed parameterizations of processes that are not explicitly
resolved (Luo et al., 2012). Further investigation of how VDMs represent
interactions leading to functional diversity shifts is crucial to this
issue. Enquist and Enquist (2011), as an example, show that long-term
patterns of drought (20 years) have led to increases in drought-tolerant dry
forest species, which could modulate resistance to future droughts. Higher
diversity of plant physiological traits and drought-resistance strategies is
expected to enhance community resistance to drought, and models should
account for shifts in diverse functionality (Table 3).</p>
</sec>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>The role of ecosystem processes and states in post-UCE recovery</title>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>The role of soil water resources post-UCEs</title>
      <p id="d1e4238">Our simulation results generally demonstrated a fast recovery of
plant-available water and LAI at both sites (Fig. S1). Annual
plant-available water substantially increased right after a drought by an
average of 163 mm at Palo Verde and 213 mm at EucFACE in the LPJ-GUESS
simulations compared to much lower increases in ED2 (50 and 12 mm at
Palo Verde and EucFACE). This increase in available water post-drought can
be attributed to reduced stand density and water competition (Fig. S2c–d;
diamonds vs. circles), alleviating the demand for soil resources (water) and
subsequent stress, which has also been shown in observations (McDowell et
al., 2006; D'Amato et al., 2013). After large canopy tree mortality events,
there can be relatively rapid recovery of forest biogeochemical and
hydrological fluxes (Biederman et al., 2015; Anderegg et al., 2016b;
Biederman et al., 2016). These crucial fluxes strongly influence plant
regeneration and regrowth, which can buffer ecosystem vulnerability to
future extreme droughts. However, this enhanced productivity has a<?pagebreak page2132?> limit. In
a scenario where UCEs continue to intensify, causing greater reductions in
soil water and reduced ecosystem recovery potential, the SO growth that
typically occurs after UCEs may be dampened (Fig. 1d). In water-limited
locations, similar to the dry forest sites used here, initial forest
recovery from droughts was faster due to thinning-induced
competitive release of the surviving trees and shallow roots not having to
compete with neighboring trees for water, allowing for more effective water
usage (Tague and Moritz, 2019), stressing the importance of root competition
and distribution in models (Goulden and Bales, 2019). Tague and Moritz (2019) also reported that this increased water-use efficiency and SO
ultimately led to water stress and related declines in productivity,
similar to the MO concept (Jump et al., 2017; McDowell et al., 2006). Since
a core strength of VDMs is predicting stand demography during recovery,
improved quantification of density-dependent competition following stand
dieback would be beneficial for model benchmarking (Table 3).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>The role of lagged turnover and secondary stressors post-UCEs</title>
      <p id="d1e4249">Time lags in forest compositional response to and survival of drought could
indicate community resistance or shifts to more competitive species and
competitive exclusion. During a 15-year recovery period from extreme drought
at Palo Verde, LPJ-GUESS predicted an increase in stem density (stems m<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. S2c) compared to ED2, which predicted almost no
impact in stem recovery. The mortality “spike” in ED2 due to drought was
muted and slightly delayed, contributing to ED2's lower biomass loss and
more stable behavior of plant processes over time at Palo Verde. At EucFACE,
both models exhibited a pronounced lag effect in stem turnover response,
i.e., <inline-formula><mml:math id="M246" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8–12 years after drought (Fig. S2d). After about a
decade, strong recoveries and increased stem density occurred, which in ED2
was followed by delayed mortality/thinning of stems. Delayed tree mortality
after droughts is common due to optimizing carbon allocation and growth
(Trugman et al., 2018) but typically only up to several years post-drought,
not a decade or more as seen in the model.</p>
      <p id="d1e4280">The versions of the VDMs used here do not directly consider post-drought
secondary stressors such as infestation by insects or pathogens and the
subsequent repair costs due to stress damage, which could substantially slow
the recovery of surviving trees. Forest ecologists have long recognized the
susceptibility of trees under stress, particularly drought, to insect
attacks and pathogens (Anderegg et al., 2015). Tight connections between
drought conditions and increased mountain pine beetle activity have been
observed (Chapman et al., 2012; Creeden et al., 2014) and can ultimately
lead to increased tree mortality (Hubbard et al., 2013). Leaf defoliation is
a major concern from insect outbreaks following droughts and can have large
impacts on C cycling, plant productivity, and C sequestration (Amiro et al.,
2010; Clark et al., 2010; Medvigy et al., 2012). Implementing these
secondary stressors in models could slow the rate of post-UCE recovery and
lead to increased post-UCEs tree mortality. Additional background on secondary disturbances, lag effects, and repeated extremes can be found in Sect. S2 in the Supplement.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>The role of stand demography post-UCEs</title>
      <p id="d1e4291">Change in stand structure is an important model process to capture because
large trees have important effects on C storage, community resource
competition, and hydrology (Wullschleger et al., 2001) (Table 3), and
maintaining a positive carbohydrate balance is beneficial to sustaining (or
repairing) hydraulic viability (McDowell et al., 2011). There is increasing
evidence, both theoretical (McDowell and Allen, 2015) and empirical (Bennett
et al., 2015; Rowland et al., 2015; Stovall et al., 2019), that large trees
(particularly tall trees with high leaf area) contribute to the dominant
fraction of dead biomass after drought events. Under rising temperatures
(and decreasing precipitation), vapor pressure deficit (VPD) will increase, leading to a higher
likelihood of large-tree death (Eamus et al., 2013; Stovall et al., 2019),
driving MO events as hypothesized in Fig. 1d. Consistent with this
expectation, ED2 predicted that the largest trees (<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> cm)
experienced the largest decreases in basal area compared to all other
size classes (Fig. 4). This drought-induced partial dieback and mortality of
large dominant trees have substantial impacts on community-level C dynamics,
as long-term sequestered C is liberated during the decay of new deadwood
(Palace et al., 2008; Potter et al., 2011). In ED2, the intermediate size
class (60–80 cm) increased in basal area following large-tree death,
taking advantage of the newly open canopy space. However, small size classes
do not necessarily benefit from canopy dieback. For example, in a dry
tropical forest, prolonged drought led to a decrease in understory species
and small-sized stems (Enquist and Enquist, 2011).</p>
      <p id="d1e4304">Due to VDMs being able to exhibit dynamic biogeography, they are more useful
at predicting shifts in community composition beyond LSMs capabilities.
Further areas of advancement (described in Franklin et al., 2020) include models of natural selection, self-organization, and entropy
maximization, which can substantially improve community dynamic responses in
varying environments such as UCEs. Eco-evolutionary optimality (EEO) theory
can also help improve functional trait representation in global
process-based models (reviewed in Harrison et al., 2021) through hypotheses
in plant trait trade-offs and mechanistic links between processes such as
resource demand, acquisition, and a plant's competitiveness and survival,
traits associated with high degrees of sensitivity in models. The power of
prognostic VDMs to predict shifts in demography and community migration with
climate change is large but is rarely being constrained with plant-level
EEO theory and thus will likely<?pagebreak page2133?> need to use stand-level competition and
coexistence principles of how plants self-organize (Franklin et al., 2020).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS4">
  <label>4.2.4</label><title>The role of functional trait diversity and plant hydraulics
post-UCEs</title>
      <p id="d1e4315">In field experiments, higher disturbance rates have shifted the recovery
trajectory and competition of the plant community towards one that is
composed of opportunistic fast-growing pioneer tree species, grasses
(Shiels et al., 2010; Carreño-Rocabado et al., 2012), and/or deciduous
species, as also seen in the model results (Hickler et al., 2004). In the
treatments presented here, deciduous PFTs were also the strongest to
recover after 15 years in both models, surpassing pre-drought values (Fig. 5). It should be noted that ED2 exhibited a strong recovery in the evergreen
PFT as well, inconsistent with the above literature (Fig. 5b). PFTs in ED2
respond to drought conditions via stomatal closure and leaf shedding,
buffering stem water potentials from falling below a set mortality threshold
(i.e., 88 % of loss in conductivity). This conductivity threshold may need
to be reconsidered if further examination reveals an unrealistic advantage
under drought conditions for evergreen trees, which exhibited a lower impact
from droughts (compared to deciduous and brevi-deciduous PFTs) in ED2.
Nitrogen cycling feedbacks were not investigated here but could also be an
explanation for a strong evergreen PFT recovery.</p>
      <p id="d1e4318">Recovery of surviving trees could be hindered by the high cost of replacing
damaged xylem associated with cavitation (McDowell et al., 2008; Brodribb et
al., 2010). Many studies have identified “drought legacy” effects of
delayed growth or gross primary productivity following a drought (Anderegg et
al., 2015; Schwalm et al., 2017), and the magnitude of these legacies across
species correlates with the hydraulic risks taken during a drought itself
(Anderegg et al., 2015). The conditions under which xylem can be refilled
remain controversial, but it seems likely that many species, particularly
gymnosperms, may need to entirely replace damaged xylem (Sperry et al.,
2002), and trees worldwide operate within narrow hydraulic safety margins,
suggesting that trees in all biomes are vulnerable to drought (Choat et al.,
2012). The amount of damaged xylem from a given drought event and recovery
rates also vary across trees of different sizes (Anderegg et al., 2018).</p>
      <p id="d1e4321">Plasticity in nutrient acquisition traits, intraspecific variation in plant
hydraulic traits (Anderegg et al., 2015), and changes in allometry (e.g.,
Huber values) can have large effects on acclimation to extreme droughts.
This suggests some capacity for physiological adaptation to extreme drought,
as seen by short-term negative effects from drought and heat extremes being
compensated for in the longer term (Dreesen et al., 2014). Still, given the
shift towards more extreme droughts with climate change, vegetation
mortality thresholds are likely to be exceeded, as reported in Amazonian
long-term plots where mortality of wet-affiliated genera has increased, while
simultaneously new recruits of dry-affiliated genera are also increasing
(Esquivel-Muelbert et al., 2019). Increasing occurrences of heat events,
water stress, and high VPD will lead to extended closure of stomata to avoid
cavitation, progressively reducing CO<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> enrichment benefits (Allen et
al., 2015). Where CO<inline-formula><mml:math id="M249" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fertilization has been seen to partially offset
the risk of increasing temperatures, the risk response was mediated by plant
hydraulic traits (Liu et al., 2017) using a soil–plant–atmosphere
continuum (SPAC) model, yet interactions with novel extreme droughts were
not considered. The VDM simulations suggest that the combination of elevated
warming and potential structural overshoot from eCO<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (or inaccurate
representation in NSC allocation/usage priority) will exacerbate
consequences of UCEs by reductions in both C stocks and post-drought biomass
recovery speeds (Fig. 3). Therefore, future UCE recovery may not be easily
predicted from observations of historical post-disturbance recovery. An
associated area for further investigation is to better understand the
hypothesized interplay between amplified mortality from hotter UCEs followed
by structural overshoot regrowth during wetter periods (Fig. 1d), which
could potentially lead to continual large swings in MO and SO and vulnerable
net ecosystem C fluxes through time (Table 3).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Summary of perspectives for model advancement</title>
      <p id="d1e4362">Model limitations and unknowns exposed by our simulations and literature
review highlight current challenges in our ability to understand and
forecast UCE effects on ecosystems. These limitations reflect a general lack
of empirical experiments focused on UCEs. Insufficient data means that
relevant processes may currently be poorly represented in models, and models
may then misrepresent C losses during UCEs. The two VDMs used here had
different sensitivities to drought duration or intensity, and CO<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and
warming interactions, indicating the wide variety of unknowns and plausible
options when trying to represent future UCEs that still need to be narrowed
down (Fig. 1d). These model uncertainties could potentially be addressed by
improved datasets on thresholds of conductivity loss at high drought
intensities, the role of trait diversity (e.g., different strategies of
drought deciduousness and EEO theory) in buffering ecosystem drought
responses, and a better grasp of allocation to plant C storage stocks
before, during, and after multi-year droughts. Our study takes some initial
steps to identify and assess model gaps in terms of mechanisms and
magnitudes of responses to UCEs, which can then be used to inform and
develop field experiments targeting key knowledge gaps as well as to
prioritize ongoing model development (Table 3). Our intention was not to create
an exhaustive list of UCE simulation experiments, and additional modeling
perturbations and experiments would be useful outcomes of future studies.
For example, we began to investigate the duration of droughts, but we<?pagebreak page2134?> did not
consider the frequency of back-to-back UCEs. Using VDMs as hypothesis testing
tools offers strong potential to drive progress in improving our
understanding of terrestrial ecosystem responses to UCEs and climate
feedbacks, while informing the development of the next generation of models.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e4378">The source code for the ED2 model can be downloaded and is available publicly
at <uri>https://github.com/EDmodel/ED2</uri> (last access: 27 May 2023; <ext-link xlink:href="https://doi.org/10.5281/zenodo.3978588" ext-link-type="DOI">10.5281/zenodo.3978588</ext-link>, Xu et al., 2020). The source code for the LPJ-GUESS model version 3.0 can be downloaded and is available publicly at <uri>http://web.nateko.lu.se/lpj-guess/download.html</uri> (Smith and Mishurov, 2023).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4393">The authors received the required permissions to use the site-level meteorological data from the EucFACE site used in this study. Data came from <ext-link xlink:href="https://doi.org/10.1111/gcb.13268" ext-link-type="DOI">10.1111/gcb.13268</ext-link> (Medlyn et al., 2016). Meteorological data for the Palo Verde site came from re-analysis data from the Princeton Global Forcing dataset (Sheffield et al., 2006). Otherwise, no ecological or
biological data were used in this study.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4399">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-20-2117-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-20-2117-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4408">JAH wrote the article with significant contributions from AR, BS, JSD, and
DMM and with input and contributions from all authors. XX and MM were the
primary leads running the model simulations, with model assistance and
strong feedback from DMM and BS. All authors made contributions to this
article and agreed to the submission.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4414">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="d1e4420">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e4426">This article is part of the special issue “Ecosystem experiments as a window to future carbon, water, and nutrient cycling in terrestrial ecosystems”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4432">We thank Belinda Medlyn and David Ellsworth of the Hawkesbury Institute for
the Environment, Western Sydney University, for providing the meteorological
forcing data series for the EucFACE site, a facility supported by the
Australian Government through the Education Investment Fund and the
Department of Industry and Science, in partnership with Western Sydney
University.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4437">Funding for the meetings that facilitated this work was provided by
NSF-DEB-0955771: An Integrated Network for Terrestrial Ecosystem Research on
Feedbacks to the Atmosphere; ClimatE (INTERFACE): Linking
experimentalists, ecosystem modelers, and Earth System modelers, hosted by
Purdue University; and Climate Change Manipulation Experiments in
Terrestrial Ecosystems: Networking and Outreach (COST action ClimMani –
ES1308), led by the University of Copenhagen. Jennifer A. Holm's time was supported
as part of the Next-Generation Ecosystem Experiments–Tropics, funded by the
U.S. Department of Energy, Office of Science, Office of Biological and
Environmental Research under contract DE-AC02-05CH11231. Anja Rammig received
funding from the CLIMAX Project funded by Belmont Forum and the German Federal
Ministry of Education and Research (BMBF). Benjamin Smith and Mikhail Mishurov received support
from the Strategic Research Area MERGE. William R. L. Anderegg received funding from
the University of Utah Global Change and Sustainability Center, NSF grant
1714972, and the USDA National Institute of Food and Agriculture,
Agricultural and Food Research Initiative Competitive Programme, Ecosystem
Services and Agro-ecosystem Management, grant no. 2018-67019-27850. Jeremy W. Lichstein
received support from the Northern Research Station of the USDA Forest
Service (agreement 16-JV-11242306-050) and a sabbatical fellowship from
sDiv, the Synthesis Centre of iDiv (DFG FZT 118, 202548816). Craig D. Allen
received support from the USGS Land Change Science R&amp;D Program.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4444">This paper was edited by Sönke Zaehle and reviewed by Hisashi Sato and three anonymous referees.</p>
  </notes><ref-list>
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