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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title-group>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2624-893X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/ffgc.2026.1662038</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Reconstructing <italic>Larix sibirica</italic> dynamics based on dendroclimatology: century-scale simulation of growing season NDVI and future tree growth projections</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>che</surname>
<given-names>Jing</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2828556"/>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ye</surname>
<given-names>Mao</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Xingbin</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zeng</surname>
<given-names>Guoyan</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lv</surname>
<given-names>Yexin</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Weilong</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Miaomiao</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Xiaodong</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Tongxin</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3071959"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
</contrib>
</contrib-group>
<aff id="aff1"><label>1</label><institution>College of Geographical and Tourism, Xinjiang Normal University</institution>, <city>Urumqi</city>, <country country="cn">China</country></aff>
<aff id="aff2"><label>2</label><institution>Xinjiang Laboratory of Lake Environment and Resources in Arid Zone</institution>, <city>Urumqi</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Mao Ye, <email xlink:href="mailto:yemao@xjnu.edu.cn">yemao@xjnu.edu.cn</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-20">
<day>20</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>9</volume>
<elocation-id>1662038</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>01</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>01</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 che, Ye, Xu, Zeng, Lv, Chen, Li, Xie and Wang.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>che, Ye, Xu, Zeng, Lv, Chen, Li, Xie and Wang</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-20">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Tree-ring width records provide crucial insights into historical vegetation dynamics and climate change. This study integrates tree-ring width index (RWI), MODIS NDVI remote sensing data, and 11 monthly extreme climate indices from <italic>Larix sibirica</italic> Ledeb. chronologies in the Burqin and Two-River Source regions of the Altai Mountains, Xinjiang, to investigate tree-ring-NDVI relationships and reconstruct vegetation coverage since the 19th century. Using LASSO regression to identify dominant extreme climate drivers and CMIP6 future climate scenarios, we projected radial growth trends and potential tree decline risks. Results demonstrate significant positive correlations between RWI and growing-season NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05), reflecting tree-ring sensitivity to vegetation productivity changes. Pettitt tests revealed significant pre-mutation declining trends in historical vegetation coverage at both sites. Pearson correlation analysis revealed distinct response patterns of tree-ring width to extreme climate events between the two sampling sites. At the Burqin site, extreme precipitation during the previous autumn (October RX1day) significantly constrained radial growth. Conversely, elevated daytime temperatures (TX90p), greater diurnal temperature ranges (DTR) prior to the growing season, and short-duration heavy precipitation events (RX5day) during transitional periods and critical growth months exerted positive effects on tree growth. The Two-River Source site exhibited contrasting responses: anomalously warm autumn conditions (TN90p) following the previous growing season led to subsequent growth suppression. Extreme temperature events during the current year demonstrated dual effects - while temperature extremes (TXx) and warm events (TX90p/TN90p) inhibited radial growth, cold extremes (TX10p/TN10p) and increased diurnal temperature ranges (DTR) exhibited moderate growth-enhancing effects. CMIP6-based projections indicate significant future growth declines across the Altai Mountains. This study advances understanding of extreme climate impacts on forest ecosystems through a novel multi-proxy approach combining dendrochronology and remote sensing. Our findings provide scientific foundations for conservation, restoration, and adaptive management of forest ecosystems under climate change.</p>
</abstract>
<kwd-group>
<kwd>climate change projection</kwd>
<kwd>extreme climate indices</kwd>
<kwd>LASSO regression model</kwd>
<kwd>NDVI</kwd>
<kwd>tree decline</kwd>
<kwd>tree-ring width index</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This research was funded by the National Natural Science Foundation of China (No. 42377449), and the study of radial growth response of Siberian larch to climatic factors in the Altai Mountains based on the process model MAIDENiso. (No. 2024D01A85).</funding-statement>
</funding-group>
<counts>
<fig-count count="12"/>
<table-count count="6"/>
<equation-count count="2"/>
<ref-count count="70"/>
<page-count count="17"/>
<word-count count="10384"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Forest Growth</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Forest ecosystems, as a vital component of the global terrestrial biosphere, play a pivotal role in regulating climate dynamics and the carbon cycle (<xref ref-type="bibr" rid="ref5">Bonan, 2008</xref>). Covering over 30% of the Earth&#x2019;s land surface, forests not only provide indispensable material resources for human livelihoods but also serve as irreplaceable reservoirs of global biodiversity (<xref ref-type="bibr" rid="ref41">Nesha et al., 2021</xref>; <xref ref-type="bibr" rid="ref11">DellaSala et al., 2025</xref>). Under ongoing climate change, anthropogenic warming has already elevated global temperatures by 0.8&#x2013;1.2&#x202F;&#x00B0;C above pre-industrial levels, with projections indicating a high likelihood of exceeding 1.5&#x202F;&#x00B0;C warming between 2030 and 2052 under current emission trajectories (<xref ref-type="bibr" rid="ref34">Legg, 2021</xref>). As critical carbon sinks, forest structure and function exhibit pronounced sensitivity to climatic variations (<xref ref-type="bibr" rid="ref55">Velazco et al., 2024</xref>). Trees, the fundamental units of forests, modulate their growth through intrinsic physiological mechanisms while simultaneously responding to extrinsic climatic drivers. Evolving global climate patterns are exerting profound impacts on forest ecosystem stability (<xref ref-type="bibr" rid="ref18">Franks et al., 2014</xref>), triggering dynamic vegetation succession that directly alters key ecological services-including water cycle regulation, biodiversity maintenance, and soil conservation (<xref ref-type="bibr" rid="ref37">Ma et al., 2025</xref>). These shifts induce cascading environmental feedbacks, underscoring the imperative to investigate vegetation dynamics for deciphering ecosystem responses to environmental change.</p>
<p>Dendrochronology and the Normalized Difference Vegetation Index (NDVI) constitute two pivotal methodologies in contemporary forest ecology research, offering robust tools for investigating climate-driven vegetation dynamics (<xref ref-type="bibr" rid="ref13">Dong and Fang, 2024</xref>; <xref ref-type="bibr" rid="ref59">Wang et al., 2021</xref>). Dendrochronological techniques, distinguished by their high temporal resolution, extensive spatial coverage, precisely dated long-term chronologies, and well-defined environmental proxy characteristics (<xref ref-type="bibr" rid="ref48">Speer, 2010</xref>), have become indispensable in global change studies, particularly for deciphering forest ecosystem responses to environmental variations (<xref ref-type="bibr" rid="ref42">Opa&#x0142;a-Owczarek et al., 2023</xref>; <xref ref-type="bibr" rid="ref60">Wilmking et al., 2020</xref>; <xref ref-type="bibr" rid="ref63">Zhang, 2015</xref>). The NDVI serves as a reliable indicator of surface vegetation cover dynamics (<xref ref-type="bibr" rid="ref30">Jia et al., 2014</xref>), though its relatively short temporal span (typically post-1980s) limits long-term vegetation studies. This constraint can be effectively mitigated through the integration of multi-century tree-ring chronologies with NDVI data. Tree-ring width, a direct measure of radial growth, reflects tree physiological conditions that subsequently influence NDVI variations through canopy development and photosynthetic activity (<xref ref-type="bibr" rid="ref39">Ma&#x0161;ek et al., 2024</xref>). Extensive research demonstrates significant but spatially heterogeneous correlations between tree-ring width and NDVI across species and biomes (<xref ref-type="bibr" rid="ref65">Zhang et al., 2023</xref>). Studies have indicated that the relationship between tree-ring width and NDVI shows no significant difference between urban and rural areas, but significant variations exist among different forest types, specifically with conifer chronologies demonstrating a stronger correlation than deciduous chronologies, (<xref ref-type="bibr" rid="ref6">Bonney and He, 2021</xref>), similar findings have been reported in high-latitude regions of Russia and Canada (<xref ref-type="bibr" rid="ref4">Berner et al., 2011</xref>). A study on <italic>Austrocedrus chilensis</italic> in northwestern Patagonia, Argentina, revealed inconsistent correlations between tree-ring width and January&#x2013;March NDVI across different latitudes, with significantly stronger relationships observed in mid- to low-latitude regions compared to high-latitude areas (<xref ref-type="bibr" rid="ref20">Gallardo et al., 2024</xref>). In subtropical China, Tree-ring width of <italic>Pinus massoniana</italic> showed positive correlations with NDVI in March, April, September, and December (<xref ref-type="bibr" rid="ref56">Wang et al., 2011</xref>), while <italic>Pinus sylvestris</italic> chronologies in the Greater Khingan Mountains exhibited strong correlations with April&#x2013;September NDVI, coinciding with the regional growing season (<xref ref-type="bibr" rid="ref14">Dong et al., 2022</xref>). Studies in the arid inland region of Northwest China revealed that <italic>Larix sibirica</italic> tree-ring width exhibited the strongest correlation with June NDVI, while <italic>Picea schrenkiana</italic> showed the highest correlation with May NDVI (<xref ref-type="bibr" rid="ref61">Wu X. et al., 2022</xref>; <xref ref-type="bibr" rid="ref62">Wu Q. et al., 2022</xref>). Further research in the eastern Tianshan Mountains demonstrated that <italic>Picea schrenkiana</italic> tree-ring width had the most significant correlation with June NDVI (<xref ref-type="bibr" rid="ref25">Guo et al., 2018</xref>).</p>
<p>Vegetation, as the core functional component of terrestrial ecosystems, plays an irreplaceable role in maintaining global ecological equilibrium through its physio-ecological adaptation mechanisms, which regulate energy budgets and biogeochemical cycles, making it a critical bioindicator of global change processes (<xref ref-type="bibr" rid="ref36">Liu et al., 2018</xref>). The synergistic use of tree-ring width and NDVI data, capitalizing on their demonstrated correlation, provides a robust approach for reconstructing long-term vegetation cover dynamics and deciphering climate-vegetation interactions. Based on NDVI and tree-ring width data, researchers reconstructed vegetation cover dynamics (1826&#x2013;2018) in the western Greater Khingan Mountains and demonstrated that precipitation served as the primary driver of vegetation variability in this region (<xref ref-type="bibr" rid="ref14">Dong et al., 2022</xref>). Additional studies have integrated tree-ring width with NDVI to achieve long-term assessment of grassland ecosystem productivity (<xref ref-type="bibr" rid="ref49">Srur et al., 2011</xref>). At a continental scale, reconstructed annual mean NDVI across the contiguous United States from 1850 to 2010, revealing a 6.73% increase in NDVI since the Little Ice Age, a trend attributed to climate warming and ecological succession. (<xref ref-type="bibr" rid="ref35">Li et al., 2024</xref>). In arid regions, employed regression models to reconstruct NDVI variations (1630&#x2013;2006) in the upper Weihe River basin of northwest China, demonstrating divergent climatic controls: precipitation exerted positive effects on vegetation cover, while temperature increases and agricultural expansion contributed to vegetation degradation (<xref ref-type="bibr" rid="ref51">Sun et al., 2020</xref>). Using <italic>Picea schrenkiana</italic> tree-ring chronologies, researchers reconstructed a 167-year (July&#x2013;October) NDVI series for the Altai Mountains in Central Asia. The reconstruction accurately captured two historically documented large-scale drought events in 1917 and 1938 (<xref ref-type="bibr" rid="ref67">Zhang et al., 2018</xref>).</p>
<p>Extreme climate events, defined as anomalous meteorological phenomena that significantly deviate from climatological statistical distributions within specific spatiotemporal scales (typically occurring below 5&#x2013;10% probability thresholds) (<xref ref-type="bibr" rid="ref15">Easterling et al., 2000</xref>), exhibit critical characteristics including large-scale spatial propagation, high-frequency recurrence, nonlinear destructive potential, and synergistic effects of compound events. These events disrupt ecosystem energy-matter cycling homeostasis, triggering multi-level cascading impacts that ultimately drive structural degradation and functional imbalance in regional ecosystems (<xref ref-type="bibr" rid="ref50">Stott, 2016</xref>). Under intensifying climate variability, the frequency, intensity, and duration of extreme climate events have shown marked increases globally. Dendroclimatological studies consistently demonstrate the profound impacts of extreme climate on tree radial growth. Investigations of <italic>Pinus sylvestris</italic> in Bulgaria revealed altitudinal differentiation in drought responses: summer droughts induced narrow rings with extremely compressed latewood at low elevations, while mid-elevation trees produced narrow rings with normal latewood (<xref ref-type="bibr" rid="ref43">Panayotov et al., 2013</xref>). Studies on <italic>Fagus sylvatica</italic> L. in Slovenia have further demonstrated that, in addition to drought, high temperatures during the growing season can also lead to the formation of narrower tree rings (<xref ref-type="bibr" rid="ref10">Decuyper et al., 2020</xref>). Comparative research conducted in the inland northwest of China on <italic>Populus euphratica</italic> Oliv. and <italic>Picea schrenkiana</italic> Fisch. et Mey. along the southern slopes of the Tianshan Mountains revealed that <italic>Picea schrenkiana</italic> exhibits significantly higher sensitivity to extreme climate variations than <italic>Populus euphratica</italic> (<xref ref-type="bibr" rid="ref1">Abula et al., 2024</xref>).</p>
<p>As the dominant constructive species in the Altai Mountains, <italic>Larix sibirica</italic> Ledeb. exhibits distinct phenological characteristics: leaf emergence in May, rapid radial growth from June to August, and dormancy initiation post-September leaf fall (<xref ref-type="bibr" rid="ref46">Shang et al., 2010</xref>). Its radial growth dynamics serve as a critical bioindicator of regional vegetation cover variations. Current research on this species has primarily focused on dendroclimatic responses and paleoclimatic reconstructions (<xref ref-type="bibr" rid="ref32">Jiao et al., 2019</xref>; <xref ref-type="bibr" rid="ref68">Zhou et al., 2019</xref>), stable isotope-climate relationships (<xref ref-type="bibr" rid="ref64">Zhang et al., 2014</xref>; <xref ref-type="bibr" rid="ref66">Zhang et al., 2012</xref>), and forest biomass estimations (<xref ref-type="bibr" rid="ref21">Gao et al., 2016</xref>). However, significant knowledge gaps persist regarding the coupling mechanisms between tree-ring width and NDVI, and the impacts of extreme climate events on radial growth dynamics. Under accelerating regional climate change, <italic>Larix sibirica</italic> populations are exhibiting widespread growth suppression, apical dieback, and mortality events, critically impairing the water conservation capacity of these mountain forest ecosystems. This study innovatively combines tree-ring analysis techniques with remote sensing data, integrating methods such as NDVI reconstruction, extreme climate indicators, and the LASSO model. Through these approaches, it aims to reconstruct historical vegetation cover dynamics in the Altai Mountains, elucidate the primary extreme climate factors influencing tree radial growth, and project future trends in tree radial growth under changing climate conditions.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Research area and research methodology</title>
<sec id="sec3">
<label>2.1</label>
<title>Overview of the research area</title>
<p>The Altai Mountains, located along the northeastern margin of the Junggar Basin in Xinjiang, stretch over 500 kilometers in a northwest-southeast orientation, with an elevational gradient ranging from 1,000 to 3,000 meters. This region encompasses diverse geomorphic units, including glaciated zones, alpine landscapes, canyon systems, rolling hills, and intermontane basins. The hydrological network is dominated by the Irtysh River, the only exorheic river in China that drains into the Arctic Ocean. Climatically classified as a cold-temperate continental zone (<xref ref-type="bibr" rid="ref28">Huang et al., 2018</xref>), the area exhibits distinct vertical climatic zonation governed by latitude, elevation, and topography. Winters are prolonged and severely cold, with persistent snow cover lasting 7&#x2013;8&#x202F;months and extreme minimum temperatures below &#x2212;40&#x202F;&#x00B0;C, while summers are short and cool, yielding a mean annual temperature range of &#x2212;4&#x202F;&#x00B0;C to 3&#x202F;&#x00B0;C. Precipitation decreases spatially along a northwest-southeast gradient, with annual precipitation ranging from 200 to 800&#x202F;mm. Northern slopes and high-elevation areas receive abundant moisture, whereas southern slopes and lowlands experience relative aridity (<xref ref-type="bibr" rid="ref32">Jiao et al., 2019</xref>). The northwestern region, influenced by westerly circulation, features humid conditions, transitioning to semi-arid climates in the southeast. Vegetation follows well-defined vertical zonation, dominated by <italic>Larix sibirica</italic> Ledeb. as the constructive species, accompanied by <italic>Abies sibirica</italic> Korsh., <italic>Picea obovata</italic> Ledeb., and associated taxa such as <italic>Betula pendula Roth</italic> and <italic>Populus davidiana Dode</italic>. <italic>Larix sibirica</italic> forms complex vegetation belts with perennial and annual herbaceous species, creating a unique montane forest-steppe ecosystem characterized by intricate ecological interactions (<xref ref-type="bibr" rid="ref57">Wang et al., 2024</xref>).</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Dendrochronological methods</title>
<p>In July 2024, this study collected tree-ring samples from two representative sampling sites within the Burqin (BEJ) and Two-River Source (LHY) forestry areas in the Altai Mountains of Xinjiang, where <italic>Larix sibirica</italic> exhibits relatively concentrated distribution. The plot area measured 250 m &#x00D7; 250 m. The sampling site locations are shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>, and the basic information of the sampling sites is presented in <xref ref-type="table" rid="tab1">Table 1</xref>. Sampling adhered to international dendrochronological research protocols, prioritizing the selection of dominant, healthy trees with minimal anthropogenic disturbance to ensure sample representativeness and integrity. Increment cores were extracted at breast height (1.3&#x202F;m) perpendicular to slope contours, with duplicate cores collected per tree to account for circumferential growth variability.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Location of the study area and diagram of sampling points.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Map of Xinjiang region, China, highlighting elevation with a gradient color scale from low (620 m) to high (4290 m). Two sampling sites, BEJ and LHY, are marked with red triangles. An inset shows Xinjiang's location within China. A scale bar is provided.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Basic information on sampling points.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Sampling point</th>
<th align="center" valign="top">Latitude/N</th>
<th align="center" valign="top">Longitude/E</th>
<th align="center" valign="top">Elevation/m</th>
<th align="center" valign="top">Aspect/&#x00B0;</th>
<th align="center" valign="top">Sample cores</th>
<th align="left" valign="top">Topographic</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">BEJ</td>
<td align="center" valign="middle">48&#x00B0;23&#x2032;34&#x2033;</td>
<td align="center" valign="middle">87&#x00B0;12&#x2032;39&#x2033;</td>
<td align="center" valign="middle">2000</td>
<td align="center" valign="middle">135</td>
<td align="center" valign="middle">30</td>
<td align="left" valign="middle">gently sloping mountain area</td>
</tr>
<tr>
<td align="left" valign="middle">LHY</td>
<td align="center" valign="middle">47&#x00B0;54&#x2032;24&#x2033;</td>
<td align="center" valign="middle">89&#x00B0;05&#x2032;11&#x2033;</td>
<td align="center" valign="middle">1,386</td>
<td align="center" valign="middle">264</td>
<td align="center" valign="middle">32</td>
<td align="left" valign="middle">river valley</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The laboratory processing protocol followed established dendrochronological standards. Tree-core samples were immobilized in specialized wooden trays using carpenter&#x2019;s glue and linen threads, followed by sequential polishing with progressively refined sandpapers (400&#x2013;1,200 grit) until annual ring boundaries attained optical clarity. Ring-width measurements were acquired using a high-precision LINTABTM<sup>6</sup> system (Rinntech, Germany) with a 0.001&#x202F;mm resolution. Data processing incorporated three sequential stages: cross-dating verification through COFECHA software (<xref ref-type="bibr" rid="ref23">Grissino-Mayer, 2001</xref>) ensured chronological accuracy; age-related growth trends were corrected via piecewise linear regression in the LINTAB system; and ARSTAN software (<xref ref-type="bibr" rid="ref9">Cook and Krusic, 2005</xref>) generated standardized chronologies using negative exponential detrending. The derived RWI chronologies for both sites are shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>, with key statistical parameters provided in <xref ref-type="table" rid="tab2">Table 2</xref>.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>The tree-ring width index and sample depth of the standardized chronology for <italic>Larix sibirica</italic>. SSS, Subsample signal strength.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two line graphs show tree-ring width index versus years. The top graph is labeled "BEJ" and spans 1700 to 2000, with a red line indicating sample depth reaching an index of two. The bottom graph, labeled "LHY," spans 1850 to 2000 with similar trends. Vertical blue dashed lines indicate where SSS exceeds 0.85.</alt-text>
</graphic>
</fig>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>The main characteristic parameters of the chronology of ring widths of <italic>Larix sibirica</italic> trees.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Sampling point</th>
<th align="center" valign="top">Starting and ending time</th>
<th align="center" valign="top">Mean sensitivity</th>
<th align="center" valign="top">Standard deviation</th>
<th align="center" valign="top">Overall representation</th>
<th align="center" valign="top">SSS&#x202F;&#x003E;&#x202F;0.85</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">BEJ</td>
<td align="char" valign="middle" char="&#x2013;">1,690&#x2013;2023</td>
<td align="char" valign="middle" char=".">0.249</td>
<td align="char" valign="middle" char=".">0.227</td>
<td align="char" valign="middle" char=".">0.881</td>
<td align="center" valign="middle">1808</td>
</tr>
<tr>
<td align="left" valign="middle">LHY</td>
<td align="char" valign="middle" char="&#x2013;">1841&#x2013;2023</td>
<td align="char" valign="middle" char=".">0.206</td>
<td align="char" valign="middle" char=".">0.220</td>
<td align="char" valign="middle" char=".">0.911</td>
<td align="center" valign="middle">1872</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>NDVI and climate data acquisition</title>
<p>The Normalized Difference Vegetation Index (NDVI), a robust indicator of surface vegetation growth status and coverage, has been widely employed in studies of vegetation spatiotemporal dynamics and climatic responses (<xref ref-type="bibr" rid="ref42">Opa&#x0142;a-Owczarek et al., 2023</xref>; <xref ref-type="bibr" rid="ref60">Wilmking et al., 2020</xref>; <xref ref-type="bibr" rid="ref63">Zhang, 2015</xref>). In this study, NDVI was adopted as the primary metric for characterizing vegetation dynamics in the research area. The NDVI time series data were obtained from the MODIS13Q1 dataset,<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> which features a spatial resolution of 250 meters and a temporal resolution of 16&#x202F;days, demonstrating well-established applicability in vegetation cover research (<xref ref-type="bibr" rid="ref59">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="ref47">Song et al., 2024</xref>). This dataset has undergone atmospheric correction. To ensure data quality, pixels of optimal quality were selected using the Summary QA band to minimize the impact of clouds and aerosols. The 16-day composite data were converted into monthly data, employing the maximum value composite method to ensure a representative NDVI value is obtained for each month. Given the persistent winter snow cover in the study area (Altai Mountains, Xinjiang), which compromises NDVI reliability during non-growing seasons, we specifically selected growing-season (May&#x2013;September) NDVI data from 2000 to 2023 for correlation analysis with tree-ring width. The multi-year monthly average NDVI distribution patterns in the study area are illustrated in <xref ref-type="fig" rid="fig3">Figure 3</xref>. Results reveal pronounced monthly variations in NDVI values within the <italic>Larix sibirica</italic> growing season across both forest sites, with values descending in the order of June &#x003E; July &#x003E; August &#x003E; May &#x003E; September.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Multi-year monthly average NDVI in Burzin and Two-River Source area.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two bar graphs compare the NDVI values for BEJ and LHY across months. Both graphs show peak NDVI during June to August, with BEJ having an average NDVI of 0.238 and LHY 0.271. A red dashed line represents the average NDVI for each.</alt-text>
</graphic>
</fig>
<p>This study utilized the ERA5-Land reanalysis dataset from the European Centre for Medium-Range Weather Forecasts (ECMWF) as the primary climate data source (<xref ref-type="bibr" rid="ref40">Mu&#x00F1;oz Sabater et al., 2021</xref>). Given the complex topography of the Altai Mountains and the considerable distance between our sampling sites and nearby meteorological stations, conventional ground-based observations were inadequate for accurately characterizing local climatic conditions. The ERA5-Land dataset, with its continuous records since 1950, offers exceptional temporal (hourly) and spatial (0.1&#x00B0;&#x202F;&#x00D7;&#x202F;0.1&#x00B0;) resolution that effectively captures microclimate variations in mountainous regions, and has been extensively validated for ecological and forestry applications. Analysis of the study area&#x2019;s multi-year climatic characteristics (<xref ref-type="fig" rid="fig4">Figure 4</xref>) revealed pronounced seasonal patterns in both monthly mean temperature and precipitation, which exhibited strong correlations with the growth cycle of <italic>Larix sibirica</italic>. The high spatiotemporal resolution of the ERA5-Land dataset provided a robust foundation for precisely analyzing tree growth-climate relationships in this study.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Multi-year average monthly temperature and precipitation in the Burzin and Two-River Source areas (1953&#x2013;2023).</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two climate graphs compare temperature and precipitation for BEJ and LHY. Both show an orange line representing monthly temperatures that peak around July and dip in January. Blue bars illustrate monthly precipitation, with the highest rainfall in July. Temperature is measured in degrees Celsius and precipitation in millimeters.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec6">
<label>2.4</label>
<title>Historical reconstruction of vegetation cover</title>
<p>We employed Pearson correlation analysis to examine the relationships between tree-ring width and monthly NDVI (May&#x2013;September) as well as the entire growing season NDVI (May&#x2013;September composite) during 2000&#x2013;2023 for both forest sites. Based on the correlation results, we established a historical NDVI reconstruction equation using a linear regression model in R (<xref ref-type="bibr" rid="ref8">Cook and Kairiukstis, 2013</xref>), as follows <xref ref-type="disp-formula" rid="E1">Equations 1</xref>, <xref ref-type="disp-formula" rid="E2">2</xref>:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mi>BEJ</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mtext>NDVI</mml:mtext><mml:mi>GS</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.4844</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mn>0.1104</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mi>RWI</mml:mi></mml:math><label>(1)</label></disp-formula>
<disp-formula id="E2"><mml:math id="M2"><mml:mi>LHY</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mtext>NDVI</mml:mtext><mml:mi>GS</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.4952</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mn>0.0936</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mi>RWI</mml:mi></mml:math><label>(2)</label></disp-formula>
<p>Here, NDVIGS represents the May&#x2013;September composite NDVI, while RWI denotes the tree-ring width index.</p>
<p>The stability and reliability of the NDVI reconstruction equations for both sampling sites were rigorously evaluated (<xref ref-type="table" rid="tab3">Table 3</xref>). The results demonstrated that the equations yielded R<sup>2</sup> values of 0.378 and 0.318 (<italic>p</italic>&#x202F;=&#x202F;0.001 and 0.005, respectively), both statistically significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01. Additional validation through Jackknife (<xref ref-type="bibr" rid="ref17">Efron and Stein, 1981</xref>) and Bootstrap (<xref ref-type="bibr" rid="ref16">Efron, 1979</xref>) methods revealed consistently low prediction errors, as indicated by small values of both the leave-one-out cross-validated mean squared error (LOOCVMSE) and out-of-bag mean squared error (OOBMSE). Both methods evaluate models by simulating &#x201C;multiple repeated experiments.&#x201D; Jackknife is performed a fixed number of times (n), observing effects through &#x201C;leave-out&#x201D; procedures; Bootstrap runs numerous times (B times), constructing empirical distributions of statistics via &#x201C;resampling with replacement.&#x201D; They are both powerful tools for handling small samples or model uncertainty. The detailed results of the Jackknife and Bootstrap tests are shown in <xref ref-type="table" rid="tab4">Table 4</xref>. These comprehensive analyses confirm that the reconstruction equations exhibit robust stability and high reliability for historical NDVI estimation.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>The main characteristic parameters of the chronology of wheel widths of <italic>Larix sibirica</italic> trees.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Sampling point</th>
<th align="center" valign="top">R<sup>2</sup></th>
<th align="center" valign="top">Adjustment R<sup>2</sup></th>
<th align="center" valign="top"><italic>P</italic></th>
<th align="center" valign="top">LOOCV<sub>MSE</sub></th>
<th align="center" valign="top">OOB<sub>MSE</sub></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">BEJ</td>
<td align="char" valign="middle" char=".">0.378</td>
<td align="char" valign="middle" char=".">0.348</td>
<td align="char" valign="middle" char=".">0.001</td>
<td align="char" valign="middle" char=".">0.0004</td>
<td align="char" valign="top" char=".">0.0004</td>
</tr>
<tr>
<td align="left" valign="middle">LHY</td>
<td align="char" valign="middle" char=".">0.317</td>
<td align="char" valign="middle" char=".">0.285</td>
<td align="char" valign="middle" char=".">0.005</td>
<td align="char" valign="middle" char=".">0.0006</td>
<td align="char" valign="top" char=".">0.0007</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>LOOCV, Leave One Out Cross-Validation; OOB, Out of Bag.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Jackknife and bootstrap tests for NDVI<sub>GS</sub> reconstruction equations.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Statistical measure</th>
<th align="center" valign="top" rowspan="2">Calibration period (2000&#x2013;2022)</th>
<th align="center" valign="top" colspan="2">Validation period (2000&#x2013;2022)</th>
</tr>
<tr>
<th align="center" valign="top">Jackknife test</th>
<th align="center" valign="top">Bootstrap test</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" char="(" colspan="4">BEJ</td>
</tr>
<tr>
<td align="left" valign="top">r</td>
<td align="char" valign="top" char=".">0.61</td>
<td align="char" valign="top" char="(">0.61 (0.58&#x2013;0.67)</td>
<td align="char" valign="top" char="(">0.61 (0.34&#x2013;0.8)</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="char" valign="top" char=".">0.38</td>
<td align="char" valign="top" char="(">0.38 (0.33&#x2013;0.45)</td>
<td align="char" valign="top" char="(">0.38 (0.11&#x2013;0.65)</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup><sub>adj</sub></td>
<td align="char" valign="top" char=".">0.35</td>
<td align="char" valign="top" char="(">0.34 (0.3&#x2013;0.42)</td>
<td align="char" valign="top" char="(">0.35 (0.07&#x2013;0.63)</td>
</tr>
<tr>
<td align="left" valign="top">SE</td>
<td align="char" valign="top" char=".">0.03</td>
<td align="char" valign="top" char="(">0.03 (0.03&#x2013;0.04)</td>
<td align="char" valign="top" char="(">0.03 (0.02&#x2013;0.04)</td>
</tr>
<tr>
<td align="left" valign="top">F</td>
<td align="char" valign="top" char=".">12.60</td>
<td align="char" valign="top" char="(">12.13 (9.93&#x2013;16.42)</td>
<td align="char" valign="top" char="(">15.16 (2.69&#x2013;38.44)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>P</italic></td>
<td align="char" valign="top" char=".">0.001</td>
<td align="char" valign="top" char="(">0.002 (0.001&#x2013;0.01)</td>
<td align="char" valign="top" char="(">0.01 (3.77E-06 - 0.04)</td>
</tr>
<tr>
<td align="left" valign="top">D/W</td>
<td align="char" valign="top" char=".">2.04</td>
<td align="char" valign="top" char="(">2.04 (1.78&#x2013;2.23)</td>
<td align="char" valign="top" char="(">2.02 (1.27&#x2013;2.74)</td>
</tr>
<tr>
<td align="left" valign="top" char="(" colspan="4">LHY</td>
</tr>
<tr>
<td align="left" valign="top">r</td>
<td align="char" valign="top" char=".">0.64</td>
<td align="char" valign="top" char="(">0.64 (0.55&#x2013;0.73)</td>
<td align="char" valign="top" char="(">0.64 (0.22&#x2013;0.92)</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup></td>
<td align="char" valign="top" char=".">0.41</td>
<td align="char" valign="top" char="(">0.41 (0.31&#x2013;0.54)</td>
<td align="char" valign="top" char="(">0.44 (0.05&#x2013;0.85)</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup><sub>adj</sub></td>
<td align="char" valign="top" char=".">0.37</td>
<td align="char" valign="top" char="(">0.38 (0.28&#x2013;0.52)</td>
<td align="char" valign="top" char="(">0.41 (0.003&#x2013;0.84)</td>
</tr>
<tr>
<td align="left" valign="top">SE</td>
<td align="char" valign="top" char=".">0.04</td>
<td align="char" valign="top" char="(">0.04 (0.03&#x2013;0.04)</td>
<td align="char" valign="top" char="(">0.04 (0.02&#x2013;0.05)</td>
</tr>
<tr>
<td align="left" valign="top">F</td>
<td align="char" valign="top" char=".">14.82</td>
<td align="char" valign="top" char="(">14.63 (9.43&#x2013;25.3)</td>
<td align="char" valign="top" char="(">26.61 (1.07&#x2013;114.99)</td>
</tr>
<tr>
<td align="left" valign="top"><italic>P</italic></td>
<td align="char" valign="top" char=".">0.0009</td>
<td align="char" valign="top" char="(">0.002 (0.003&#x2013;0.01)</td>
<td align="char" valign="top" char="(">0.03 (5.63E-10 - 0.04)</td>
</tr>
<tr>
<td align="left" valign="top">D/W</td>
<td align="char" valign="top" char=".">1.42</td>
<td align="char" valign="top" char="(">1.43 (1.22&#x2013;1.74)</td>
<td align="char" valign="top" char="(">1.42 (1.18&#x2013;2.75)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>r: Correlation coefficient; R<sup>2</sup>: Proportion of variance explained; R<sup>2</sup><sub>adj</sub>: Adjusted proportion of variance explained; SE: Standard error; F: Test statistic; D/W: Residual first-order autocorrelation.</p>
</table-wrap-foot>
</table-wrap>
<p>To further validate the reliability of the NDVI reconstruction equations, we compared the observed and reconstructed NDVI values from 2000 to 2022 (<xref ref-type="fig" rid="fig5">Figure 5</xref>). The time-series plot demonstrates strong collinearity between the observed and reconstructed NDVI data. Correlation analysis revealed statistically significant relationships between the observed and reconstructed NDVI at both sampling sites, with correlation coefficients (R) of 0.56 and 0.62 (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01). These results indicate that the reconstructed NDVI the temporal dynamics of actual vegetation cover changes in the study region.</p>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Comparison of NDVI observation records and reconstructed records from 2000 to 2022.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Four graphs depict the comparison between observed and reconstructed NDVI data. The top two line graphs show NDVI trends from 2000 to 2020 for BEJ and LHY. The bottom two scatter plots display correlations between observed and reconstructed NDVI for BEJ and LHY, with correlation coefficients of 0.56 and 0.62, and RMSE values of 0.023 and 0.019, respectively.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec7">
<label>2.5</label>
<title>Analysis of factors affecting tree growth</title>
<p>To elucidate the mechanisms by which extreme climate events influence tree radial growth, this study extracted daily maximum temperature, minimum temperature, and precipitation data from the ERA5 reanalysis dataset for both sampling sites during 1953&#x2013;2023. Using the RClimDex software, we computed 11 monthly extreme climate indices that characterize various aspects of climatic extremes (<xref ref-type="table" rid="tab5">Table 5</xref>). The response relationships between tree-ring width and these extreme climate indices were systematically investigated through Pearson correlation analysis. Recognizing the lagged physiological responses of trees to climatic conditions, we implemented a cross-year analytical framework (October of the previous year to October of the current year) to comprehensively identify key climatic drivers of radial growth. This methodological design effectively addresses the limitations of conventional single-year analyses that may overlook cross-annual climate effects, thereby providing a robust scientific basis for identifying critical climatic constraints on tree growth.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Table of extreme climate index definitions.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Classify</th>
<th align="left" valign="top">Abridge</th>
<th align="left" valign="top">Index name</th>
<th align="left" valign="top">Definition</th>
<th align="left" valign="top">Unit</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="9">Extreme temperature indices</td>
<td align="left" valign="top">TXx</td>
<td align="left" valign="top">Warmest daily Tmax</td>
<td align="left" valign="top">Monthly maximum value of daily maximum temp</td>
<td align="left" valign="top">&#x00B0;C</td>
</tr>
<tr>
<td align="left" valign="top">TXn</td>
<td align="left" valign="top">Coldest daily Tmax</td>
<td align="left" valign="top">Monthly minimum value of daily maximum temp</td>
<td align="left" valign="top">&#x00B0;C</td>
</tr>
<tr>
<td align="left" valign="top">TX90p</td>
<td align="left" valign="top">Warm day</td>
<td align="left" valign="top">Percentage of days when TX&#x202F;&#x003E;&#x202F;90th percentile</td>
<td align="left" valign="top">day</td>
</tr>
<tr>
<td align="left" valign="top">TN90p</td>
<td align="left" valign="top">Warm night</td>
<td align="left" valign="top">Percentage of days when TN&#x202F;&#x003E;&#x202F;90th percentile</td>
<td align="left" valign="top">day</td>
</tr>
<tr>
<td align="left" valign="top">TNx</td>
<td align="left" valign="top">Warmest daily Tmin</td>
<td align="left" valign="top">Monthly maximum value of daily minimum temp</td>
<td align="left" valign="top">&#x00B0;C</td>
</tr>
<tr>
<td align="left" valign="top">TNn</td>
<td align="left" valign="top">Coldest daily Tmin</td>
<td align="left" valign="top">Monthly minimum value of daily minimum temp</td>
<td align="left" valign="top">&#x00B0;C</td>
</tr>
<tr>
<td align="left" valign="top">TX10p</td>
<td align="left" valign="top">Cold day</td>
<td align="left" valign="top">Percentage of days when TX&#x202F;&#x003C;&#x202F;10th percentile</td>
<td align="left" valign="top">day</td>
</tr>
<tr>
<td align="left" valign="top">TN10p</td>
<td align="left" valign="top">Cold night</td>
<td align="left" valign="top">Percentage of days when TN&#x202F;&#x003C;&#x202F;10th percentile</td>
<td align="left" valign="top">day</td>
</tr>
<tr>
<td align="left" valign="top">DTR</td>
<td align="left" valign="top">Diurnal temperature range</td>
<td align="left" valign="top">Monthly mean difference between TX and TN</td>
<td align="left" valign="top">&#x00B0;C</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Precipitation magnitude indexes</td>
<td align="left" valign="top">RX1day</td>
<td align="left" valign="top">Maximum 1-day precipitation</td>
<td align="left" valign="top">Monthly maximum 1-day precipitation</td>
<td align="left" valign="top">mm</td>
</tr>
<tr>
<td align="left" valign="top">RX5day</td>
<td align="left" valign="top">Maximum 5-day precipitation</td>
<td align="left" valign="top">Monthly maximum 5-day precipitation</td>
<td align="left" valign="top">mm</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec8">
<label>2.6</label>
<title>Projection of future tree growth dynamics</title>
<p>This study employs a multi-scale modeling approach to predict Siberian larch growth responses to climate change. Based on correlation analyses between tree-ring width and extreme climate indices, we first applied a LASSO regression model to select key climatic drivers of radial growth from 143 candidate factors&#x2014;including eleven extreme climate indices covering October&#x2013;December of the previous year and January&#x2013;October of the current year&#x2014;and established predictive model equations for two sampling sites. LASSO modeling was constructed using the &#x2018;glmnet&#x2019; package in R (<xref ref-type="bibr" rid="ref19">Friedman et al., 2021</xref>). After standardizing all predictor variables, k-fold cross-validation was employed to select the optimal penalty parameter <italic>&#x03BB;</italic>, ultimately yielding a sparse and interpretable model. We utilized the NEX-GDDP-CMIP6 dataset, which provides downscaled climate projections from multiple CMIP6 models, focusing on two representative scenarios, SSP2-4.5 and SSP5-8.5, that differ in their greenhouse gas emission assumptions and produce distinct climate forecasts. These differences introduce scenario uncertainty, which plays a critical role in future growth predictions. To evaluate the robustness of our projections, we incorporated results from multiple climate models within the NEX-GDDP-CMIP6 ensemble, thereby assessing ensemble model performance. Using future climate scenario data from the CMIP6 multi-model ensemble for 2025&#x2013;2075, we calculated the corresponding extreme climate indices via the RClimdex program. Finally, we input the selected key climatic drivers into the LASSO model equations to simulate and predict radial growth dynamics over the next 50&#x202F;years.</p>
</sec>
</sec>
<sec sec-type="results" id="sec9">
<label>3</label>
<title>Results</title>
<sec id="sec10">
<label>3.1</label>
<title>Tree-ring width and NDVI correlation analysis</title>
<p>Pearson correlation analysis (<xref ref-type="fig" rid="fig6">Figure 6</xref>) revealed distinct monthly-scale relationships between tree-ring width and NDVI across the sampling sites. At the Burqin site, tree-ring width exhibited a highly significant positive correlation with August NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01) and the entire growing season NDVI (May&#x2013;September composite, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), while showing no statistically significant correlations with NDVI in May, June, July, or September. Conversely, at the Two-River Source site, significant positive correlations were observed with June NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05) and August NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01), alongside a strong correlation with the growing season NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01), though no significant associations were detected for May, July, or September NDVI. Comparative analysis demonstrated that tree-ring width at both sites consistently showed strong correlations with August and growing season NDVI. This validated that radial growth dynamics effectively capture vegetation cover variations during critical phenological stages, providing robust scientific support for reconstructing regional vegetation dynamics using dendrochronological data.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Correlation coefficients of tree annual ring width with May&#x2013;September NDVI and growing season NDVI. &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001; ns: No significance.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar charts compare the correlation coefficients for BEJ and LHY across months May to September and the full growing season. BEJ shows significant positive correlations in August and the growing season, marked by &#x002A;&#x002A; and &#x002A;&#x002A;&#x002A;. LHY shows significant correlations in June, August, and the growing season, indicated by &#x002A;, &#x002A;&#x002A;, and &#x002A;&#x002A; respectively. A legend indicates significance levels: non-significant (ns), &#x002A;p&#x003C;0.05, &#x002A;&#x002A;p&#x003C;0.01, &#x002A;&#x002A;&#x002A;p&#x003C;0.001.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec11">
<label>3.2</label>
<title>Historical vegetation cover dynamics</title>
<p>Based on the NDVI reconstruction equations, this study successfully reconstructed historical growing-season NDVI dynamics for the two sampling sites (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The reconstruction for the Burqin site spans 215&#x202F;years (1808&#x2013;2022), while that for the Two-River Source site covers 151&#x202F;years (1872&#x2013;2022). Statistical analysis showed no significant differences in historical mean NDVI between the two sites (Burqin: 0.589; Two-River Source: 0.586). High and low vegetation cover periods were defined as NDVI values exceeding one standard deviation above or below the mean, respectively. The Burqin site experienced three low-coverage periods (1973&#x2013;1976, 2003&#x2013;2004, 2013&#x2013;2014) and six high-coverage periods (1808&#x2013;1810, 1812&#x2013;1815, 1822&#x2013;1827, 1834&#x2013;1836, 1840&#x2013;1843, 1864&#x2013;1866), with the lowest NDVI value in 2010 (0.534) and the highest in 1810 (0.715). The Two-River Source site exhibited four low-coverage periods (1952&#x2013;1954, 1955&#x2013;1956, 2000&#x2013;2009, 2013&#x2013;2014) and three high-coverage periods (1872&#x2013;1879, 1881&#x2013;1886, 1888&#x2013;1890), with the lowest NDVI in 2004 (0.519) and the highest in 1879 (0.699).</p>
<fig position="float" id="fig7">
<label>Figure 7</label>
<caption>
<p>Reconstruction of historical vegetation cover dynamics and tests for mutation. The solid black line represents the reconstructed sequence of average NDVI values; the dashed black lines indicate average NDVI &#x00B1; one standard deviation; the pink dashed lines mark years of NDVI abrupt change.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g007.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two line charts titled "BEJ NDVI Reconstruction" and "LHY NDVI Reconstruction" depict NDVI data from the 1800s to 2022. Both show trends with mutation years marked as 1894 and 1919, respectively. Regression lines with equations, R-squared values, and significance levels are included for different time periods. Mean and standard deviation lines are noted.</alt-text>
</graphic>
</fig>
<p>Although we have obtained NDVI values for specific years during historical periods through reconstruction, it must be emphasized that due to uncertainties inherent in the reconstruction process, the reconstructed results primarily serve to reflect overall trends in vegetation cover rather than precise annual NDVI values. Pettitt&#x2019;s change-point test revealed significant transitions in vegetation cover: 1894 for Burqin and 1919 for Two-River Source. It should be noted that the presence of noise in the reconstruction NDVI, particularly significant and random noise, may influence the detection of change-points. The results of the simple linear regression analysis indicate that both locations exhibited a declining trend in NDVI prior to the mutation (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), with the decline at the Two-River Source site being more pronounced than that at the Burqin site. Post-transition trends diverged: the Burqin site showed no significant NDVI trend (<italic>p</italic>&#x202F;&#x003E;&#x202F;0.05), while the Two-River Source site maintained a declining trend (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001), albeit at a reduced rate compared to the pre-transition period. These results demonstrate spatial heterogeneity in vegetation cover responses to climate change.</p>
</sec>
<sec id="sec12">
<label>3.3</label>
<title>Impacts of extreme climate on tree growth</title>
<p>To elucidate the mechanisms of extreme climate impacts on tree growth, we conducted Pearson correlation analysis between tree-ring width and 11 extreme climate indices (calculated via RClimDex) at both sampling sites (<xref ref-type="fig" rid="fig8">Figure 8</xref>). The results revealed distinct response patterns: At the Burqin site, tree-ring width exhibited significant negative correlations with the maximum 1-day precipitation (RX1day) in October of the previous year (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05), while showing positive correlations with the maximum daily maximum temperature (TXx), warm days (TX90p), and diurnal temperature range (DTR) in February of the current year (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). Significant positive correlations were also observed with the maximum 5-day precipitation (RX5day) in March and July of the current year (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). The Two-River Source site demonstrated more complex responses: Tree-ring width showed significant negative correlations with the maximum daily minimum temperature (TNx) in November of the previous year; the maximum daily maximum temperature (TXx) and warm days (TX90p) in March; warm days (TX90p) in April; TXx, warm nights (TN90p), and TNx in July; and TNx and TN90p in September (all <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). Conversely, positive correlations were identified with cold days (TX10p) in July, and DTR, TX10p, and cold nights (TN10p) in September (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05).</p>
<fig position="float" id="fig8">
<label>Figure 8</label>
<caption>
<p>Correlation of RWI with extreme climate factors. &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05; Red indicates a positive correlation; Blue indicates a negative correlation. P10&#x2013;P12 denotes October to December of the previous year, while C1&#x2013;C10 denotes January to October of the current year.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g008.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Heat map showing correlation between extreme weather indices and months for BEJ and LHY locations. Red indicates positive correlation, blue indicates negative. Stars denote significant correlations. BEJ shows notable correlations in TXx, TX90p, RX1day, and RX5day, while LHY shows correlations in TXx, TNx, TX90p, and RX5day.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec13">
<label>3.4</label>
<title>Future projection of tree growth dynamics</title>
<p>This study utilized CMIP6 multi-model scenario data to calculate future extreme climate indices via the RClimDex program, with key drivers of radial growth identified through LASSO regression model screening. Statistical parameters of the models are presented in <xref ref-type="table" rid="tab6">Table 6</xref>. The Two-River Source site&#x2019;s LASSO model exhibited significantly superior explanatory power (R<sup>2</sup>&#x202F;=&#x202F;0.594) compared to the Burqin site (R<sup>2</sup>&#x202F;=&#x202F;0.248), indicating heightened sensitivity of tree growth to extreme climate variability in the Two-River Source region. Additionally, we conducted VIF tests on the variables in both models (<xref ref-type="fig" rid="fig9">Figure 9</xref>). The results indicate that the models perform well, and the variable selection is generally acceptable. Key climatic factors identified for the Two-River Source model included: warm night days (TN90p) in September of the previous year; warm day days (TX90p) in October of the previous year; maximum daily minimum temperature (TNx) in November of the previous year; TNx and TX90p in March of the current year; TX90p in April; maximum 5-day precipitation (RX5day) in May; cold day days (TX10p) in June and July; TNx in July; and diurnal temperature range (DTR), cold night days (TN10p), TX10p, and TN90p in September of the current year.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>LASSO model statistical characterization parameters.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" colspan="5">LASSO Model parameters</th>
</tr>
<tr>
<th align="left" valign="top">Sampling point</th>
<th align="center" valign="top">R<sup>2</sup></th>
<th align="center" valign="top">MAE</th>
<th align="center" valign="top">Coefficient of correlation with chronology R</th>
<th align="center" valign="top">Optimal Penalty Coefficient &#x03B3;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">BEJ</td>
<td align="char" valign="top" char=".">0.248</td>
<td align="char" valign="top" char=".">0.132</td>
<td align="char" valign="top" char=".">0.629</td>
<td align="char" valign="top" char=".">0.311</td>
</tr>
<tr>
<td align="left" valign="top">LHY</td>
<td align="char" valign="top" char=".">0.594</td>
<td align="char" valign="top" char=".">0.117</td>
<td align="char" valign="top" char=".">0.825</td>
<td align="char" valign="top" char=".">0.025</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">LASSO Model regression equation</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">
<inline-formula><mml:math id="M3"><mml:msub><mml:mi>BEJ</mml:mi><mml:mi>RWI</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.731</mml:mn><mml:mo>&#x2013;</mml:mo><mml:msup><mml:mn>0.018</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mn>10.</mml:mn><mml:mi>RX</mml:mi><mml:mn>1</mml:mn><mml:mi>day</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.006</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi>C2</mml:mi><mml:mo>.</mml:mo><mml:mi>DTR</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.021</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi>C2</mml:mi><mml:mo>.</mml:mo><mml:mi>TXx</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.027</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi>C3</mml:mi><mml:mo>.</mml:mo><mml:mi>RX</mml:mi><mml:mn>5</mml:mn><mml:mi>day</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.025</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi>C7</mml:mi><mml:mo>.</mml:mo><mml:mi>RX</mml:mi><mml:mn>5</mml:mn><mml:mi>day</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.004</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi>C9</mml:mi><mml:mo>.</mml:mo><mml:mi>RX</mml:mi><mml:mn>5</mml:mn><mml:mi>day</mml:mi></mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">
<inline-formula><mml:math id="M4"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:msub><mml:mi>LHY</mml:mi><mml:mi>RWI</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>0.748</mml:mn><mml:mo>&#x2013;</mml:mo><mml:msup><mml:mn>0.044</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mn>9</mml:mn><mml:mi>TN</mml:mi><mml:mn>9</mml:mn><mml:mi>0p</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.033</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mn>1</mml:mn><mml:mi>0TX</mml:mi><mml:mn>9</mml:mn><mml:mi>0p</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.018</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">P</mml:mi><mml:mn>1</mml:mn><mml:mi>1TNx</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.007</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>3</mml:mn><mml:mi>TNx</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.013</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>3</mml:mn><mml:mi>TX</mml:mi><mml:mn>9</mml:mn><mml:mi>0p</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.035</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>4</mml:mn><mml:mi>TX</mml:mi><mml:mn>9</mml:mn><mml:mi>0p</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.014</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>5</mml:mn><mml:mi>RX</mml:mi><mml:mn>5</mml:mn><mml:mi>day</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.008</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>6</mml:mn><mml:mi>TX</mml:mi><mml:mn>1</mml:mn><mml:mi>0p</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.007</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>7</mml:mn><mml:mi>TX</mml:mi><mml:mn>1</mml:mn><mml:mi>0p</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.040</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>7</mml:mn><mml:mi>TNx</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.051</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>9</mml:mn><mml:mi>DTR</mml:mi></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:msup><mml:mn>0.007</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>9</mml:mn><mml:mi>TN</mml:mi><mml:mn>1</mml:mn><mml:mi>0p</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mn>0.011</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>9</mml:mn><mml:mi>TX</mml:mi><mml:mn>1</mml:mn><mml:mi>0p</mml:mi><mml:mo>&#x2212;</mml:mo><mml:msup><mml:mn>0.028</mml:mn><mml:mo>&#x2217;</mml:mo></mml:msup><mml:mspace width="0.25em"/><mml:mi mathvariant="normal">C</mml:mi><mml:mn>9</mml:mn><mml:mi>TN</mml:mi><mml:mn>9</mml:mn><mml:mi>0p</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig9">
<label>Figure 9</label>
<caption>
<p>VIF test for variables in the LASSO model.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g009.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two bar charts compare VIF values of variables under scenarios (a) BEJ and (b) LHY. In chart (a), all variables show negligible multicollinearity with VIF values around 1.1 (green bars). In chart (b), two variables exhibit moderate multicollinearity with VIF values of 6.33 and 5.99 (orange bars), while the rest show negligible multicollinearity with values ranging from 1.19 to 1.92 (green bars). Dashed lines at VIF value 5 indicate the threshold for moderate multicollinearity.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec14">
<label>3.5</label>
<title>Future projection of tree growth dynamics</title>
<p>To more accurately capture the response signals of <italic>Larix sibirica</italic> to climate change in the future, this study focuses solely on the Two-River Source sampling sites, where tree ring width (RWI) is more sensitive to extreme climate events, and the model performs better. To validate the reliability and robustness of the model, cross-validation and residual diagnostics were conducted, with the results shown in <xref ref-type="fig" rid="fig10">Figures 10</xref>, <xref ref-type="fig" rid="fig11">11</xref>. Overall, the model successfully captured the main fluctuation characteristics of RWI, and the predicted curve exhibited high synchronization with the observed values, particularly in extreme years (such as the peak in 1998 and the trough in 2005), demonstrating strong fitting ability. Based on the residual diagnostics, the assumptions of the LASSO model were found to hold. The residual plot (<xref ref-type="fig" rid="fig11">Figure 11a</xref>) shows no discernible pattern, while the QQ plot (<xref ref-type="fig" rid="fig11">Figure 11b</xref>) and the Shapiro&#x2013;Wilk normality test (W&#x202F;=&#x202F;0.98281, <italic>p</italic>&#x202F;=&#x202F;0.4511) further support that the residuals conform to a normal distribution. Therefore, the LASSO model can be considered appropriate, with satisfactory goodness of fit and no significant bias or heteroscedasticity issues.</p>
<fig position="float" id="fig10">
<label>Figure 10</label>
<caption>
<p>Cross-validation results of the LASSO model for the Two-River Source.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g010.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph showing RWI values from 1950 to 2020. The solid blue line represents actual values, while the dotted orange line represents fitted values. The graph displays fluctuations over time with data points increasing and decreasing significantly.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig11">
<label>Figure 11</label>
<caption>
<p>Residual diagnostic results of the LASSO model for the Two-River Source.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g011.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two-panel image showing residual plots. Panel (a) is a scatter plot of residuals versus fitted values with points dispersed around a red dashed zero line, indicating randomness. Panel (b) is a QQ plot of residuals with points closely following a red diagonal line, suggesting normal distribution.</alt-text>
</graphic>
</fig>
<p>The LASSO regression model, constructed based on CMIP6 climate projections and the response relationships between tree-ring width and extreme climate indices during 1953&#x2013;2023, projects significant declines in radial growth of <italic>Larix sibirica</italic> across the Altai Mountains under all emission scenarios from 2025 to 2075 (<xref ref-type="fig" rid="fig12">Figure 12</xref>). The mean predicted growth under the SSP2-4.5 and SSP5-8.5 scenarios is 0.814 and 0.982, respectively. Under the high-emission SSP5-8.5 scenario, the tree-ring width index (RWI) exhibited a more pronounced decline rate (R<sup>2</sup>&#x202F;=&#x202F;0.303, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001) compared to the moderate-emission SSP2-4.5 scenario (R<sup>2</sup>&#x202F;=&#x202F;0.08, <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). These results suggest that intensified climate warming and increased frequency climate events will impose greater stress and uncertainty on the growth of <italic>Larix sibirica</italic>.</p>
<fig position="float" id="fig12">
<label>Figure 12</label>
<caption>
<p>Predictions of future tree growth at the Two-River Source sampling site.</p>
</caption>
<graphic xlink:href="ffgc-09-1662038-g012.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph comparing RWI over years 2030 to 2080 for SSP245 and SSP585 scenarios. SSP245, shown in blue, has a gentler decline (R&#x00B2; = 0.08, p &#x003C; 0.05). SSP585, in orange, shows a steeper decline (R&#x00B2; = 0.303, p &#x003C; 0.001). Both lines include fluctuations with dashed trend lines.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="sec15">
<label>4</label>
<title>Discussion</title>
<sec id="sec16">
<label>4.1</label>
<title>Tree-ring width index as an Indicator of growing-season NDVI variations</title>
<p>Tree-ring width, a critical metric of radial growth, effectively reflects long-term vegetation cover dynamics when coupled with NDVI analysis (<xref ref-type="bibr" rid="ref39">Ma&#x0161;ek et al., 2024</xref>). Pearson correlation analysis revealed significant correlations between the tree-ring width index (RWI) and growing-season (May&#x2013;September) NDVI at both sampling sites (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). Further analysis demonstrated site-specific monthly variations: the Burqin site showed significant correlations only with August NDVI (p&#x202F;&#x003C;&#x202F;0.05), whereas the Two-River Source site exhibited significant correlations with both June and August NDVI (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). These monthly discrepancies align with regional vegetation phenology. June corresponds to the NDVI peak period (<xref ref-type="fig" rid="fig2">Figure 2</xref>) in the study area, where increased precipitation and favorable hydrothermal conditions enhance canopy development and radial growth (<xref ref-type="bibr" rid="ref38">Ma et al., 2024</xref>). August represents the most active growth phase for <italic>Larix sibirica</italic> (<xref ref-type="bibr" rid="ref33">Lang, 2018</xref>), coinciding with peak canopy expansion, which explains the strongest correlations with August NDVI at both sites. Notably, the complex vegetation community structure&#x2014;comprising <italic>Picea schrenkiana</italic>, Abies sibirica, <italic>Juniperus communis</italic> var. <italic>saxatilis</italic>, <italic>Lonicera caerulea</italic>, and <italic>Rosa acicularis</italic> Lindl. (<xref ref-type="bibr" rid="ref28">Huang et al., 2018</xref>) may weaken RWI-NDVI correlations in July due to accelerated growth of competing species under optimal hydrothermal conditions. However, synchronized growth rhythms across vegetation types emerge during late growing seasons as environmental conditions stabilize (<xref ref-type="bibr" rid="ref29">Huang et al., 2022</xref>). Tree-ring width not only records annual climatic signals (temperature, precipitation) but also reflects late-growing-season vegetation dynamics, establishing its reliability as a proxy for reconstructing historical NDVI variations and elucidating vegetation-climate interactions.</p>
<p>Previous studies corroborate the significant RWI-NDVI relationships. Research on <italic>Larix sibirica</italic> in the Altai Mountains (1982&#x2013;2000) revealed a significant positive correlation between the ring-width index (RWI) and growing-season NDVI. However, species-specific variations were observed in the timing of peak correlations, with larch showing the strongest association with June NDVI, while spruce exhibited maximum correlation with May NDVI (<xref ref-type="bibr" rid="ref61">Wu X. et al., 2022</xref>; <xref ref-type="bibr" rid="ref62">Wu Q. et al., 2022</xref>). Similarly, research on <italic>Picea schrenkiana</italic> in the Tianshan Mountains confirmed significant tree-ring-NDVI correlations (<xref ref-type="bibr" rid="ref33">Lang, 2018</xref>), but diverged from our findings by showing additional September correlations-a discrepancy attributable to evergreen <italic>Picea</italic> maintaining photosynthetic activity into autumn, unlike deciduous <italic>Larix</italic> which undergoes leaf senescence. Extensive studies across northern China (<xref ref-type="bibr" rid="ref7">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="ref58">Wang et al., 2010</xref>) consistently validate growing-season RWI-NDVI correlations, affirming tree-ring width as a robust proxy for long-term vegetation cover reconstruction.</p>
</sec>
<sec id="sec17">
<label>4.2</label>
<title>Spatially heterogeneous tree growth responses to extreme climate</title>
<p>Pearson correlation analysis between tree-ring width and 11 extreme climate indices (October of the previous year to October of the current year) revealed distinct spatial patterns in climatic drivers of radial growth (<xref ref-type="fig" rid="fig7">Figure 7</xref>). Extreme climate indices from both the previous and current years significantly influenced tree growth. For instance, tree-ring width at the Burqin site showed significant negative correlations with the maximum 1-day precipitation (RX1day) in October of the previous year (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05), while the Two-River Source site exhibited negative correlations with the maximum daily minimum temperature (TNx) in October of the previous year (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). These findings indicate a cross-annual response mechanism between tree growth and extreme climate events (<xref ref-type="bibr" rid="ref63">Zhang, 2015</xref>). This phenomenon can be explained from two perspectives: physiological ecology and climatic lag effects. Extreme precipitation in the previous autumn alters soil moisture saturation and root respiration efficiency, disrupting non-structural carbohydrate storage and redistribution, thereby limiting energy availability for cambial reactivation in the following growing season (<xref ref-type="bibr" rid="ref61">Wu X. et al., 2022</xref>; <xref ref-type="bibr" rid="ref62">Wu Q. et al., 2022</xref>). Warm autumn events disrupt low-temperature dormancy signals, prolonging photosynthetic activity while increasing respiratory consumption, leading to carbon imbalance and subsequent radial growth reduction (<xref ref-type="bibr" rid="ref2">Babst et al., 2012</xref>).</p>
<p>Analysis of the relationship between tree ring width at sampling sites and annual extreme climate indices revealed that the impact of extreme climate on tree growth varies significantly across different growth stages. At the Burqin site, higher early spring temperatures during the initial phase of the growing season facilitated earlier tree dormancy release, promoted sap flow, and stimulated early cambium activity, establishing a favorable physiological foundation for the onset of the growing season. Warm daytime temperatures and large diurnal temperature fluctuations before the growing season accelerate soil thawing and restore root absorption functions, indirectly promoting xylem development and ring formation during the growing season (<xref ref-type="bibr" rid="ref26">He et al., 2023</xref>). Regarding precipitation, extreme rainfall events during the early growing season and peak growing season did not inhibit tree growth but rather promoted it. Concentrated precipitation before the growing season begins helps increase soil moisture reserves, alleviates potential spring drought stress, and provides trees with ample water before the growing season commences (<xref ref-type="bibr" rid="ref54">Ukhvatkina et al., 2021</xref>). During the peak growth period, several days of effective precipitation significantly enhance photosynthesis and cell division, accelerating xylem accumulation rates and thereby promoting wider tree rings (<xref ref-type="bibr" rid="ref27">Huang et al., 2021</xref>). This indicates that short-duration heavy precipitation events during the early growing season and critical growth months at the Burqin sampling site play a crucial role in driving annual growth.</p>
<p>Compared with the Burqin site, tree ring width at the Two-River Source site showed significant correlations with multiple extreme temperature indices, predominantly negative correlations, reflecting tree sensitivity to high-temperature events and warm night conditions. No significant correlations were found with extreme precipitation indices. Specifically, tree growth exhibited varying degrees of negative correlation with high-temperature events during the early, peak, and late growing seasons. This result suggests that extreme or prolonged high temperatures during both growing and non-growing seasons may intensify transpiration, increase water stress, inhibit cambial cell division and expansion, and consequently limit xylem growth (<xref ref-type="bibr" rid="ref52">Teskey et al., 2015</xref>; <xref ref-type="bibr" rid="ref44">Rammig et al., 2015</xref>). Furthermore, nighttime high temperatures (TNx, TN90p) may disrupt nocturnal metabolic regulation in trees, leading to negative effects on carbon balance (<xref ref-type="bibr" rid="ref70">Zhu et al., 2020</xref>). Conversely, annual ring width showed significant positive correlations (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05) with cold days (TX10p), cold nights (TN10p), and daily temperature range (DTR) during the peak growing season. These findings indicate that short-term cold events during the growing season may mitigate high-temperature stress, helping trees maintain stable water status and carbon allocation (<xref ref-type="bibr" rid="ref32">Jiao et al., 2019</xref>). Particularly during the mid-to-late growing season, such temperature fluctuations play a positive role in sustaining cambial activity.</p>
<p>In addition to spatial heterogeneity, tree growth is often influenced by a combination of multiple factors, with topographic features and biological factors being two major influences on tree growth (<xref ref-type="bibr" rid="ref3">Barnard et al., 2017</xref>; <xref ref-type="bibr" rid="ref45">Ramsfield et al., 2016</xref>). The results of this study indicate that the radial growth of trees at low-altitude sampling sites is more sensitive to extreme climate events compared to those at high-altitude areas. This phenomenon has also been observed in previous studies on <italic>Larix sibirica</italic> in the Altai Mountains (<xref ref-type="bibr" rid="ref69">Zhou et al., 2021</xref>). The reason for this phenomenon lies in the vertical variation of hydrothermal conditions in the Altai Mountains. Low-altitude areas are characterized by dry climates and limited precipitation, which constrains tree growth and makes it more susceptible to climate disturbances. Biological factors are also key elements affecting the growth of <italic>Larix sibirica</italic>, such as the <italic>larch caterpillar</italic>, <italic>larch casebearer</italic>, and the <italic>Zeiraphera grisecana</italic> (<xref ref-type="bibr" rid="ref24">Gulmira, 2022</xref>). Rising winter minimum temperatures may enhance insect survival rates, potentially exacerbating forest pests and diseases.</p>
</sec>
<sec id="sec18">
<label>4.3</label>
<title>Future risks of tree growth decline</title>
<p>LASSO regression models based on CMIP6 climate projections and tree-ring responses to extreme climate indices indicate significant future declines in <italic>Larix sibirica</italic> growth across the Altai Mountains under both high-emission (SSP585) and moderate-emission (SSP245) scenarios. As a constructive species in this cold-temperate montane forest ecosystem, <italic>Larix sibirica</italic> plays prominent roles in regional carbon cycling, hydrological regulation, and ecological stability maintenance (<xref ref-type="bibr" rid="ref31">Jiang et al., 2021</xref>). Increased frequency and intensity of extreme climate events will directly impair larch growth and xylem structure, reducing forest productivity and carbon sequestration capacity. Growth suppression may further diminish tree resistance to drought, windthrow, and pest infestations, accelerating senescence and mortality rates. Such declines risk triggering ecological succession toward shrubland or grassland, altering the historic forest-steppe ecotone and threatening alpine ecological stability (<xref ref-type="bibr" rid="ref53">Trumbore et al., 2015</xref>). Without mitigation, these trends could drive forest line retreat (<xref ref-type="bibr" rid="ref12">Dhyani, 2023</xref>) and species turnover within decades (<xref ref-type="bibr" rid="ref22">Garc&#x00ED;a-Vald&#x00E9;s et al., 2020</xref>). This study not only identifies <italic>Larix sibirica</italic>&#x2019;s response patterns to specific extreme climate factors but also provides empirical evidence for assessing cold-temperate forest vulnerability under future climate change. To enhance ecosystem resilience, conservation strategies and adaptive forest management must prioritize mitigating extreme climate risks, ensuring habitat suitability for constructive species, and maintaining community stability in the Altai Mountains.</p>
</sec>
<sec id="sec19">
<label>4.4</label>
<title>Limitations and shortcomings of the study</title>
<p>Although this study reconstructed vegetation-cover dynamics in the Altai Mountains over the past century and analyzed the effects of extreme climatic events on the radial growth of <italic>Larix sibirica</italic>&#x2014;as well as projected future trends in tree growth&#x2014;several improvements remain. First, although Siberian larch is the most widely distributed arboreal species in the Altai region, only two typical growth sites were selected as representatives. Such a limited sample size may not fully capture vegetation-cover variability across the entire area; future work should include a larger number of sampling locations. Second, this study considered only the impact of extreme climate on tree growth; however, topographic factors also influence tree development (<xref ref-type="bibr" rid="ref59">Wang et al., 2021</xref>), and future research should incorporate these terrain effects into the analysis. Furthermore, future growth projections rely on applying LASSO models calibrated based on historical climate-growth relationships to CMIP6 climate model projections. This approach implicitly assumes that climate-growth relationships remain stable in the future, but may fail under scenarios involving strong warming, high carbon dioxide concentrations, changes in disturbance patterns, or shifts in forest structure.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec20">
<label>5</label>
<title>Conclusion</title>
<p>This study integrated tree-ring width data, remote sensing vegetation indices (NDVI), and extreme climate indices to investigate the relationship between radial growth of <italic>Larix sibirica</italic>, vegetation cover dynamics, and extreme climate events at two research stations in the Altai Mountains of Xinjiang.</p>
<p>Historical vegetation cover dynamics were reconstructed, and future growth trajectories were projected. Key findings reveal significant positive correlations between tree-ring width and growing-season NDVI, confirming radial growth as an effective indicator of vegetation productivity variations. Historical vegetation cover reconstructions identified abrupt transitions in 1894 (Burqin) and 1919 (Two-River Source), with both sites exhibiting significant pre-transition declines. Post-transition dynamics diverged: Burqin showed no sustained decline, while Two-River Source maintained a reduced but persistent downward trend. Extreme climate impacts displayed spatial heterogeneity. At Burqin, radial growth was suppressed by extreme autumn precipitation but enhanced by pre-growing-season and midsummer heavy rainfall, with no significant temperature-related correlations. Conversely, Two-River Source&#x2019;s growth was inhibited by warm autumns and extreme heat events during the growing season, while cold extremes and larger diurnal temperature ranges promoted growth, showing no significant precipitation-related responses. CMIP6-based projections indicate persistent declines in <italic>Larix sibirica</italic> radial growth under future climate scenarios, posing critical challenges to forest ecosystem stability and ecological service functions. These results emphasize the need for management strategies that consider location-specific tree species survival under changing climate conditions.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec21">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec22">
<title>Author contributions</title>
<p>JC: Investigation, Methodology, Software, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &#x0026; editing. MY: Conceptualization, Data curation, Supervision, Writing &#x2013; original draft. XXu: Conceptualization, Writing &#x2013; review &#x0026; editing. GZ: Writing &#x2013; review &#x0026; editing. YL: Investigation, Writing &#x2013; review &#x0026; editing. WC: Investigation, Methodology, Writing &#x2013; review &#x0026; editing. ML: Validation, Writing &#x2013; review &#x0026; editing. XXi: Methodology, Writing &#x2013; review &#x0026; editing. TW: Validation, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="COI-statement" id="sec23">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec24">
<title>Generative AI statement</title>
<p>The author(s) declared that Generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="sec25">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<fn fn-type="custom" custom-type="edited-by" id="fn0002">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/822272/overview">Aziz Ebrahimi</ext-link>, Purdue University, United States</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0003">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1987743/overview">Ouya Fang</ext-link>, Chinese Academy of Sciences (CAS), China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1841271/overview">Julia Unkelbach</ext-link>, University of G&#x00F6;ttingen, Germany</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3204296/overview">Karen Hutten</ext-link>, USDA Forest Service Alaska Region, United States</p>
</fn>
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<fn-group>
<fn id="fn0001"><label>1</label><p><ext-link xlink:href="https://lpdaac.usgs.gov/products/mod13q1v061/" ext-link-type="uri">https://lpdaac.usgs.gov/products/mod13q1v061/</ext-link></p></fn>
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