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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
<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.2024.1354508</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Forests and Global Change</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Stand structure is more important for forest productivity stability than tree, understory plant and soil biota species diversity</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Tao</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2567029/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Lingbo</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2004380/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Zhaogang</given-names>
</name>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff><institution>Key Laboratory of Sustainable Forest Ecosystem Management-Ministry of Education, College of Forestry, Northeast Forestry University</institution>, <addr-line>Harbin</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0003">
<p>Edited by: Yashwant Singh Rawat, Federal Technical and Vocational Education and Training Institute (FTVETI), Ethiopia</p>
</fn>
<fn fn-type="edited-by" id="fn0004">
<p>Reviewed by: Xu Han, Beihua University, China</p>
<p>Shengen Liu, Fujian Agriculture and Forestry University, China</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Zhaogang Liu, <email>lzg19700602@163.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>02</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>7</volume>
<elocation-id>1354508</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>01</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Wang, Dong and Liu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang, Dong and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p>
</license>
</permissions>
<abstract>
<sec id="sec1">
<title>Introduction</title>
<p>The stability of forest productivity is an important management goal in order to sustain ecosystem services for an expanding human population and in the face of global climate change. Evidence from theoretical, observational, and experimental studies has demonstrated that higher biodiversity promotes stability of forest productivity. However, the majority of these studies have focused solely on tree diversity and have neglected the potentially important role of understory plant and soil biodiversity.</p>
</sec>
<sec id="sec2">
<title>Methods</title>
<p>In this study, we explain the effect of tree, understory woody and herbaceous plant, and soil biota (fauna, fungi, and bacteria) species diversity on forest productivity and its stability over time (2000&#x2013;2020) across an area of Northeast China covering 145 million hectares. We explore the eight stand structure variables for stability of forest productivity and the relationship between productivity stability and tree, understory plant, and soil biota species diversity.</p>
</sec>
<sec id="sec3">
<title>Results</title>
<p>Our results show no significant, direct impact of understory plant, soil fungi, and bacteria species diversity on the stability of the forest ecosystem. Tree species diversity indirectly affects productivity stability by directly influencing stand structure, whereas soil fauna species diversity indirectly influences stability through its relationship with tree species diversity. Stand structure is more important than tree and soil fauna species diversity for forest productivity stability. Specifically, increasing crown height (CH) from its minimum to maximum value leads to a substantial gain of 20.394 in forest productivity stability. In contrast, raising tree species diversity (&#x03B1;-Tree) and soil fauna species diversity (&#x03B1;-Fauna) from their minimum to maximum values results in a modest reduction of only 0.399 and 0.231 in forest productivity stability, respectively.</p>
</sec>
<sec id="sec4">
<title>Discussion</title>
<p>To increase the stability of forest productivity in response to climate change, we should adjust the stand structure more in the process of management rather than just considering biodiversity. Overall, this study highlights the ecological risks associated with large-scale biotic homogenization under future climate change and management practices.</p>
</sec>
</abstract>
<kwd-group>
<kwd>multiple-taxon</kwd>
<kwd>understory plant species diversity</kwd>
<kwd>soil biota species diversity</kwd>
<kwd>stand structure</kwd>
<kwd>species diversity-structure-stability</kwd>
<kwd>Chinese temperate forest</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="76"/>
<page-count count="12"/>
<word-count count="8527"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Forest Management</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec5">
<label>1</label>
<title>Introduction</title>
<p>In the face of global climate change and an expanding human population, maintaining preserving forest productivity stability is an important management goal for sustaining ecosystem services. Temporal stability, or a forest&#x2019;s capacity to sustain ecosystem functionality over time, has gradually become a major focus of theoretical and empirical research within forest ecology and management (<xref ref-type="bibr" rid="ref34">Jucker et al., 2014</xref>; <xref ref-type="bibr" rid="ref54">Morin et al., 2014</xref>; <xref ref-type="bibr" rid="ref45">Liang et al., 2016</xref>; <xref ref-type="bibr" rid="ref64">Schnabel et al., 2021</xref>; <xref ref-type="bibr" rid="ref61">Qiao et al., 2022</xref>, <xref ref-type="bibr" rid="ref62">2023</xref>). However, the specific contributions of abiotic and biotic factors to large-scale productivity stability remain subjects of extensive debate. There is mounting evidence of the role of biodiversity in bolstering productivity stability and enhancing ecosystem functioning and services (<xref ref-type="bibr" rid="ref27">Hautier et al., 2014</xref>; <xref ref-type="bibr" rid="ref31">Isbell et al., 2015</xref>; <xref ref-type="bibr" rid="ref84">Yuan et al., 2021</xref>). However, the majority of these studies have focused solely on tree species diversity, overlooking the potentially pivotal role of understory plant species diversity and encompassing both woody and herbaceous plants, which represent a significant portion of plant species diversity in temperate and northern conifer forests (<xref ref-type="bibr" rid="ref25">Halpern and Spies, 1995</xref>; <xref ref-type="bibr" rid="ref18">Echiverri and Macdonald, 2019</xref>). Furthermore, soil biodiversity, including soil biota such as soil fauna, fungi, and bacteria, serves as a vital reservoir of biodiversity in terrestrial ecosystems (<xref ref-type="bibr" rid="ref14">Decaens, 2010</xref>; <xref ref-type="bibr" rid="ref56">Orgiazzi et al., 2016</xref>; <xref ref-type="bibr" rid="ref81">Yang et al., 2018</xref>; <xref ref-type="bibr" rid="ref50">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="ref76">Wu et al., 2023</xref>). These organisms provide crucial ecological services such as decomposition, nutrient cycling, and plant nutrient acquisition, which ultimately affect plant performance and terrestrial ecosystem functioning more broadly (<xref ref-type="bibr" rid="ref4">Bardgett and van der Putten, 2014</xref>; <xref ref-type="bibr" rid="ref71">Wagg et al., 2014</xref>, <xref ref-type="bibr" rid="ref72">2019</xref>; <xref ref-type="bibr" rid="ref33">Jing et al., 2015</xref>; <xref ref-type="bibr" rid="ref15">Delgado-Baquerizo et al., 2020</xref>). Although some of these mechanisms have been examined in small-scale experiments or grass ecosystems (<xref ref-type="bibr" rid="ref80">Yang et al., 2014</xref>, <xref ref-type="bibr" rid="ref82">2016</xref>; <xref ref-type="bibr" rid="ref58">Pellkofer et al., 2016</xref>), there is limited research that explores their role in forest ecosystems across large scales.</p>
<p>The effects of species diversity on productivity stability have been reported extensively, but structural diversity has received less investigation (<xref ref-type="bibr" rid="ref57">Ouyang et al., 2021</xref>). Stand structure is a direct object for management, link management, and function. During the forest management process, various functions of the forest can be changed by adjusting the structure of the forest stand through cutting and replanting (<xref ref-type="bibr" rid="ref40">Larson and Churchill, 2012</xref>). Stand structure&#x2014;encompassing factors such as size, number, composition, and heterogeneity&#x2014;is a critical component of ecosystem resilience and functionality (<xref ref-type="bibr" rid="ref11">Churchill et al., 2013</xref>) and represents an important component of habitat complexity (<xref ref-type="bibr" rid="ref59">Penone et al., 2019</xref>; <xref ref-type="bibr" rid="ref52">Loke and Chisholm, 2022</xref>). As such, changes in stand structure strongly influence understory plant species diversity (<xref ref-type="bibr" rid="ref83">Yu and Sun, 2013</xref>; <xref ref-type="bibr" rid="ref67">Su et al., 2021</xref>) and belowground soil microbial communities (<xref ref-type="bibr" rid="ref70">Turner and Franz, 1985</xref>). Variations in understory vegetation and soil biota development can arise due to differences in stand structure, even under similar climates and site conditions (<xref ref-type="bibr" rid="ref67">Su et al., 2021</xref>), resulting in an array of diversity&#x2013;stability mechanisms. Therefore, it is crucial to understand the complex interplay between stand structure and diversity in order to anticipate and manage the effects of climate change on forest ecosystems.</p>
<p>In this study, we assess how different subsets of species diversity contribute to productivity stability in temperate forests across China. Our hypotheses are as follows: (i) diversity&#x2014;measured in terms of tree species, understory plant, belowground soil biota, and stand structure diversity&#x2014;has a direct impact on forest productivity stability and varies across taxonomic groups; randomness also plays a significant role, (ii) tree species diversity has the strongest influence on forest productivity stability (<xref ref-type="fig" rid="fig1">Figure 1</xref>); and (iii) tree species diversity indirectly affects the productivity stability of the forest ecosystem through its impact on stand structure. We tested these hypotheses using a unique dataset of forest communities in the temperate region of China. Our methods were as follows: First, we investigated the patterns of species diversity in multiple taxa. Second, we evaluated the direct and indirect effects of climate, soil properties, species diversity, and stand structure on forest productivity stability. Specifically, we analyzed variable importance to explore which variables affect forest productivity stability most strongly and assessed whether the observed patterns differed from what would be expected by chance. Finally, to provide guidance for effective forest management, we calculated the net gain or loss of forest productivity stability by changing diversity or stand structure values.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Illustration of forest ecosystem, sampling of understory plant and belowground soil biota, and conceptual model of research hypothesis; <bold>(A)</bold> forest ecosystem, including tree, understory woody and herbaceous plant, soil fauna, fungi and bacteria, stand structure mean tree size, number, and composition; <bold>(B)</bold> sampling for understory plant and soil biota diversity; <bold>(C)</bold> conceptual model of climate, soil, and tree species diversity and stand structure effect in understory plant and soil biota species diversity; arrow width is proportional to the strength of the relationship; <bold>(D)</bold> conceptual model of climate, soil property, species diversity, and stand structure effect on productivity stability.</p>
</caption>
<graphic xlink:href="ffgc-07-1354508-g001.tif"/>
</fig>
</sec>
<sec sec-type="materials|methods" id="sec6">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec7">
<label>2.1</label>
<title>Study area and field data collection</title>
<p>The study area encompasses the entirety of Northeastern China (<xref ref-type="fig" rid="fig2">Figure 2A</xref>) located between 40&#x2013;53&#x00B0;N latitude and 120&#x2013;135&#x00B0;E longitude. It includes the Heilongjiang, Jilin, and Liaoning provinces, as well as the eastern part of the Inner Mongolia Autonomous Region (<xref ref-type="bibr" rid="ref85">Zhang and Liang, 2014</xref>). The forests in this area are predominantly found in three regions: Changbai Mountain (CB), Xiao Hingan Ling (XH), and Da Hingan Ling (DH) (<xref ref-type="bibr" rid="ref85">Zhang and Liang, 2014</xref>) (<xref ref-type="fig" rid="fig2">Figure 2B</xref>). The Northeastern region of China (NE China) encompasses a forest area of more than 82.42 million ha<sup>2</sup> (<xref ref-type="fig" rid="fig2">Figure 2B</xref>). It encompasses a range of forest types, from temperate forests in the south to boreal forests in the far north, representing all of the major forest types in temperate East Asia (<xref ref-type="bibr" rid="ref85">Zhang and Liang, 2014</xref>). We obtained 1&#x2009;km-resolution spatial data of the area representing mean annual temperature (MAT), mean annual precipitation (MAP), and mean annual potential evapotranspiration (PET) for the period of 2000&#x2013;2020 from the National Earth System Science Data Center, National Science &#x0026; Technology Infrastructure of China dataset.<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> Data of soil physicochemical properties including pH value (pH), soil organic carbon (Soc), total nitrogen (Tn), total phosphorus (Tp), total potassium (Tk), bulk density (Bd), and coarse fragments (<italic>Cf</italic>) at various depths (0&#x2013;5, 5&#x2013;15, 15&#x2013;30, 30&#x2013;60, 60&#x2013;100, and 100&#x2013;200&#x2009;cm) were obtained from the study by <xref ref-type="bibr" rid="ref51">Liu et al. (2021)</xref> (90&#x2009;m spatial resolution; available at National Earth System Science Data Center, <ext-link xlink:href="http://www.geodata.cn/" ext-link-type="uri">http://www.geodata.cn/</ext-link>). We applied weightage to synthesize the soil data from each layer (0&#x2013;5, 5&#x2013;15, 15&#x2013;30, 30&#x2013;60, 60&#x2013;100, 100&#x2013;200&#x2009;cm), considering that layer weight is equal to layer depth/200&#x2009;cm. Finally, we summed the weighted values of each layer to generate the soil physicochemical property values of the sample plot.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p><bold>S</bold>ample plot <bold>(A)</bold>, productivity stability <bold>(B)</bold>, and patterns of species diversity across the study area <bold>(C)</bold>. <bold>(A)</bold> Study area and sample plot: observation sites (marked with yellow dots) distributed across Northeast China were monitored from 2015 to 2018. The background color represents the Digital Elevation Model (DEM) of the area, with a resolution of 30&#x2009;m. CB denotes the Changbai Mountain region, XH represents the Xiao Hingan Ling region, and DH signifies the Da Hingan Ling region; the coordinate system is WGS84. <bold>(B)</bold> Forest productivity stability across the study area. <bold>(C)</bold> Patterns of species diversity; the specific diversity aspects assessed are as follows: <bold>(C1)</bold> tree species diversity; <bold>(C2)</bold> understory woody plant species diversity; <bold>(C3)</bold> understory herbaceous species diversity; <bold>(C4)</bold> soil fauna species diversity; <bold>(C5)</bold> soil fungi species diversity; and <bold>(C6)</bold> soil bacteria species diversity. Statistical analysis was performed using a <italic>t</italic>-test, with significance levels indicated as follows: <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001 (<sup>&#x002A;&#x002A;&#x002A;</sup>), <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01 (<sup>&#x002A;&#x002A;</sup>), <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (&#x002A;), and <italic>p</italic>&#x2009;&#x003E;&#x2009;0.05 (ns).</p>
</caption>
<graphic xlink:href="ffgc-07-1354508-g002.tif"/>
</fig>
</sec>
<sec id="sec8">
<label>2.2</label>
<title>Sampling of tree and understory plant species diversity</title>
<p>This study utilized publicly available data from the National Ecology Science Data Center, National Science &#x0026; Technology Infrastructure of China (NESDC, <ext-link xlink:href="http://www.geodata.cn" ext-link-type="uri">http://www.geodata.cn</ext-link>). This database comprises 122 sample plots of different forest types and disturbance classes that were established in Northeast China between 2015 and 2018 (<xref ref-type="fig" rid="fig2">Figure 2A</xref>). The forest layer with height (H)&#x2009;&#x2265;&#x2009;1.3&#x2009;m is designated as the tree layer, within which the species, status, diameter at breast height (DBH), and height of each tree are recorded in 36 quadrats of 5&#x2009;&#x00D7;&#x2009;5&#x2009;m each. Ten quadrats were selected as survey plots to investigate understory wood plant diversity. The species, DBH, and height of each plant in the understory wood plant layer are investigated and recorded. We randomly set a 1&#x2009;&#x00D7;&#x2009;1&#x2009;m understory herbaceous vegetation survey plot within the understory wood plant survey plot. The types, average height, coverage, and other relevant details of the understory herbaceous vegetation were recorded following the guidelines outlined in LY/T 3128&#x2013;2019 (&#x201C;The Regulations for Classification, Survey, and Mapping of Forest Vegetation, Forestry Industry Standard of the People&#x2019;s Republic of China&#x201D;).</p>
</sec>
<sec id="sec9">
<label>2.3</label>
<title>Sampling of soil fauna, fungi, and bacteria species diversity</title>
<p>Soil fauna were identified from three sieved soil core samples of 5&#x2009;cm diameter each. Soil cores were taken from the upper 15&#x2009;cm of soil in each plot, and the three cores were pooled as a composite sample for the plot (NESDC, <ext-link xlink:href="http://www.geodata.cn" ext-link-type="uri">http://www.geodata.cn</ext-link>). The samples collected in the field were placed on a sieve equipped with a funnel. The lower part of the funnel was connected to a device containing 75% alcohol by mass to collect and preserve the separated soil fauna. The separation time was 7 to 12&#x2009;days. The device containing the soil sample was then poured into another glass bottle and heated in a water bath (<xref ref-type="bibr" rid="ref77">Wu et al., 2021</xref>). After boiling the alcohol in the bottle, the suspended springtail sample sank and was removed for soil fauna sorting. Soil fauna were sorted by morphology, and the number of individuals was recorded before storing in centrifuge tubes containing 75% alcohol (<xref ref-type="bibr" rid="ref7">Chen, 1983</xref>). The separated soil fauna were made into slide specimens and identified following slide specimen preparation processes such as fading, washing, and making (<xref ref-type="bibr" rid="ref78">Xu et al., 2017</xref>). Species morphological characteristics were documented with photographs that were captured using a field microscope with high depth. Finally, two types and four trophic levels of soil fauna were collected from the soil under different forest types. The two types included large soil fauna and small and medium-sized soil fauna (such as <italic>Nematodes</italic>, <italic>Oribatida</italic>, and <italic>Collembola</italic>).</p>
<p>Soil fungi and bacteria were identified from sieved and freeze-dried soil core samples. Ten cores of 3&#x2009;cm diameter each were taken from the upper 10&#x2009;cm of soil per plot and pooled as the composite sample of the plot. The samples were then passed through a 2-mm soil sieve, placed into a ziplock bag, and cooled in a&#x2009;&#x2212;&#x2009;20&#x00B0;C refrigerator (NESDC, <ext-link xlink:href="http://www.geodata.cn" ext-link-type="uri">http://www.geodata.cn</ext-link>, <xref ref-type="bibr" rid="ref43">Li P. et al., 2019</xref>). The PowerSoil DNA Isolation Kit (MoBio, United States) was used to extract total soil fungi DNA. The primers ITSF1-GCATCGATGAAGAACGCAG and ITSR1-TCCTCCGCTTATTGATATGC were employed to amplify the hypervariable region of fungal ITS2. The sequencing of paired-end 250&#x2009;bp was conducted using the Illumina HiSeq platform (<xref ref-type="bibr" rid="ref42">Li et al., 2020</xref>). The barcoded Illumina paired-end sequencing (BIPES) process was then employed for initial data processing to reverse the complementary assembly of the ITS2 sequence. The sequence was split into corresponding samples based on barcodes, and low-quality data such as primer mismatch, N-containing sequences, and excessively short sequences were eliminated. The UCHIME program was employed to screen out chimera sequences, and diversity analyses, such as clustering, were performed using the QIIME process. Operational taxonomic unit (OTU) clustering was conducted using the UCLUST method with a sequence similarity threshold of 97% (<xref ref-type="bibr" rid="ref43">Li P. et al., 2019</xref>). The representative sequence for each OTU was selected using the highest frequency, and systematic classification was performed using the Amazon Relational Database Service (RDP) and UNITE databases.</p>
<p>The primers 515F/806R were similarly used to amplify the V4 hypervariable region of the bacterial 16S rRNA gene (<xref ref-type="bibr" rid="ref68">Tamaki et al., 2011</xref>), and the above steps were repeated, except the SILVA database which was used to perform the systematic classification (<xref ref-type="bibr" rid="ref42">Li et al., 2020</xref>). All measurements for trees, understory vegetation, and soil biodiversity reported in this study were taken from the same sample plot.</p>
</sec>
<sec id="sec10">
<label>2.4</label>
<title>Quantization of stand structure and forest productivity stability</title>
<p>Tree and understory plant species diversity for each plot was determined by counting the unique species present in the tree and understory wood and herbaceous layers within each sample plot. Varieties within each species were aggregated (<xref ref-type="bibr" rid="ref87">Zhou et al., 2017</xref>). In this study, we defined eight stand structure features, including &#x03B2; diversity of trees (&#x03B2;-Tree), stem abundance (SA), mean DBH (m-DBH), tree size variation (CV DBH), variation of height on crown base (CV HCB), height of crown (CH), stand basal area (SBA), basal area of deadwood (BAD), and the stand structural complexity index (SSCI). &#x03B2;-Tree measures the variation in species composition among sites, reflecting species turnover and nestedness (<xref ref-type="bibr" rid="ref5">Baselga and Orme, 2012</xref>) and is calculated using the Jaccard dissimilarity index following the method stated by <xref ref-type="bibr" rid="ref86">Zhang et al. (2022)</xref>; SA represents stand density and is measured in individuals ha<sup>&#x2212;1</sup>; m-DBH is a proxy for stand age (<xref ref-type="bibr" rid="ref59">Penone et al., 2019</xref>); CV DBH is calculated as the coefficient of variation for tree DBH within a given sample plot (<xref ref-type="bibr" rid="ref10">Chu et al., 2019</xref>); CV HCB is used to assess the physical space under the tree canopy; CH is measured using the method stated by <xref ref-type="bibr" rid="ref48">Liu X. Q. et al., 2022</xref>; SBA is calculated as the sum of individual stem basal area (<xref ref-type="bibr" rid="ref17">Dolezal et al., 2020</xref>); BAD is the sum of deadwood basal area; and the aim of the SSCI to quantify the distribution of trees and their canopies in three-dimensional space as a function of leaf area and heterogeneity of biomass distribution (<xref ref-type="bibr" rid="ref19">Ehbrecht et al., 2021</xref>). Each feature was calculated as the mean or sum of all individuals in the sample plot (<xref ref-type="table" rid="tab1">Table 1</xref>) (<xref ref-type="bibr" rid="ref37">Krebs et al., 2019</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>List of variables and their scaling method.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable group</th>
<th align="center" valign="top">Name</th>
<th align="center" valign="top">Unit</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
<th align="center" valign="top">Mean or interval</th>
<th align="center" valign="top">Scaling method</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="3">Climate</td>
<td align="center" valign="middle">MAT</td>
<td align="center" valign="middle">&#x00B0;C</td>
<td align="center" valign="middle">&#x2212;54.00</td>
<td align="center" valign="middle">39.00</td>
<td align="center" valign="middle">&#x2212;5.02&#x2009;&#x00B1;&#x2009;31.32</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">MAP</td>
<td align="center" valign="middle">mm</td>
<td align="center" valign="middle">413.00</td>
<td align="center" valign="middle">730.00</td>
<td align="center" valign="middle">529.67&#x2009;&#x00B1;&#x2009;97.09</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">PET</td>
<td align="center" valign="middle">&#x03BC;mol/m<sup>2</sup>&#x002A;s</td>
<td align="center" valign="middle">543.00</td>
<td align="center" valign="middle">712.00</td>
<td align="center" valign="middle">628.29&#x2009;&#x00B1;&#x2009;48.38</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="8">Soil</td>
<td align="center" valign="middle">Thickness</td>
<td align="center" valign="middle">cm</td>
<td align="center" valign="middle">81.00</td>
<td align="center" valign="middle">45.00</td>
<td align="center" valign="middle">60.57&#x2009;&#x00B1;&#x2009;7.01</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">pH</td>
<td align="center" valign="middle">-</td>
<td align="center" valign="middle">592.10</td>
<td align="center" valign="middle">637.50</td>
<td align="center" valign="middle">610.61&#x2009;&#x00B1;&#x2009;10.09</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Soc</td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">862.30</td>
<td align="center" valign="middle">1809.03</td>
<td align="center" valign="middle">1162.23&#x2009;&#x00B1;&#x2009;222.31</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Tn</td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">81.63</td>
<td align="center" valign="middle">225.83</td>
<td align="center" valign="middle">104.97&#x2009;&#x00B1;&#x2009;24.67</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Tp</td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">29.33</td>
<td align="center" valign="middle">64.35</td>
<td align="center" valign="middle">44.77&#x2009;&#x00B1;&#x2009;6.30</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Tk</td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">1698.63</td>
<td align="center" valign="middle">2780.62</td>
<td align="center" valign="middle">2136.39&#x2009;&#x00B1;&#x2009;279.42</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Bd</td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">1198.18</td>
<td align="center" valign="middle">1352.27</td>
<td align="center" valign="middle">1283.64&#x2009;&#x00B1;&#x2009;37.67</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle"><italic>Cf</italic></td>
<td align="center" valign="middle">g/kg<sup>&#x2212;1</sup></td>
<td align="center" valign="middle">21.67</td>
<td align="center" valign="middle">46.68</td>
<td align="center" valign="middle">36.42&#x2009;&#x00B1;&#x2009;6.19</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="9">Stand structure</td>
<td align="center" valign="middle">&#x03B2;-Tree</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">0.98</td>
<td align="center" valign="middle">0.84&#x2009;&#x00B1;&#x2009;0.27</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">SA</td>
<td align="center" valign="middle">n/ha<sup>&#x2212;2</sup></td>
<td align="center" valign="middle">1.00</td>
<td align="center" valign="middle">256.00</td>
<td align="center" valign="middle">90.16&#x2009;&#x00B1;&#x2009;49.34</td>
<td align="center" valign="middle">Plot sum</td>
</tr>
<tr>
<td align="center" valign="middle">m-DBH</td>
<td align="center" valign="middle">cm</td>
<td align="center" valign="middle">3.33</td>
<td align="center" valign="middle">30.10</td>
<td align="center" valign="middle">15.31&#x2009;&#x00B1;&#x2009;5.28</td>
<td align="center" valign="middle">Plot mean</td>
</tr>
<tr>
<td align="center" valign="middle">CV DBH</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">1.27</td>
<td align="center" valign="middle">0.66&#x2009;&#x00B1;&#x2009;0.27</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">CV HCB</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">1.59</td>
<td align="center" valign="middle">0.65&#x2009;&#x00B1;&#x2009;0.25</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">CH</td>
<td align="center" valign="middle">m</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">29.60</td>
<td align="center" valign="middle">16.95&#x2009;&#x00B1;&#x2009;8.24</td>
<td align="center" valign="middle">Plot mean</td>
</tr>
<tr>
<td align="center" valign="middle">SBA</td>
<td align="center" valign="middle">m<sup>2</sup></td>
<td align="center" valign="middle">0.02</td>
<td align="center" valign="middle">23.01</td>
<td align="center" valign="middle">9.82&#x2009;&#x00B1;&#x2009;5.54</td>
<td align="center" valign="middle">Plot sum</td>
</tr>
<tr>
<td align="center" valign="middle">BAD</td>
<td align="center" valign="middle">m<sup>2</sup></td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">9.01</td>
<td align="center" valign="middle">0.79&#x2009;&#x00B1;&#x2009;1.54</td>
<td align="center" valign="middle">Plot sum</td>
</tr>
<tr>
<td align="center" valign="middle">SSCI</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">3.06</td>
<td align="center" valign="middle">3.89</td>
<td align="center" valign="middle">3.43&#x2009;&#x00B1;&#x2009;0.28</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="3">Productivity Stability</td>
<td align="center" valign="middle">m-NDVI</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">91.00</td>
<td align="center" valign="middle">229.00</td>
<td align="center" valign="middle">212.29&#x2009;&#x00B1;&#x2009;17.03</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">SD-NDVI</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">11.00</td>
<td align="center" valign="middle">47.00</td>
<td align="center" valign="middle">20.75&#x2009;&#x00B1;&#x2009;5.32</td>
<td align="center" valign="middle">Plot</td>
</tr>
<tr>
<td align="center" valign="middle">Stability</td>
<td align="center" valign="middle">&#x2013;</td>
<td align="center" valign="middle">2.00</td>
<td align="center" valign="middle">21.00</td>
<td align="center" valign="middle">10.93&#x2009;&#x00B1;&#x2009;2.87</td>
<td align="center" valign="middle">Plot</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>MAT: mean annual temperature; MAP: mean annual precipitation; PET: mean annual potential evapotranspiration; Soc: soil organic carbon; Tn: total nitrogen; Tp: total phosphorus; Tk: total potassium; Bd: bulk density; Cf: coarse fragments; &#x03B2;-Tree: variation in species composition among tree sites; SA: stem abundance or stem density; m-DBH: mean diameter at breast height; CV DBH: coefficient of variation in tree size within sample plot; CV HCB: coefficient of variation in height of crown base within sample plot; CH: crown height; SBA: stand basal area, the total basal area of individual stems; BAD: basal area of deadwood; SSCI: stand structural complexity index; m-NDVI: mean peak NDVI during 2000&#x2013;2020; SD-NDVI: standard deviation of peak NDVI during 2000&#x2013;2020; Stability: the ratio of the mean NDVI from 2000 to 2020 to the SD of NDVI.</p>
</table-wrap-foot>
</table-wrap>
<p>Temporal stability of forest productivity is generally quantified as the ratio of the temporal mean of productivity to its standard deviation (SD; <xref ref-type="bibr" rid="ref69">Tilman et al., 2006</xref>; <xref ref-type="bibr" rid="ref28">Hautier et al., 2015</xref>; <xref ref-type="bibr" rid="ref12">Craven et al., 2018</xref>; <xref ref-type="bibr" rid="ref46">Liu S. et al., 2022</xref>). In our study, we used the peak Normalized Difference Vegetation Index (NDVI) from the period 2000&#x2013;2020 as a proxy for aboveground plant biomass (following <xref ref-type="bibr" rid="ref79">Yang et al. (2019)</xref> at the National Ecology Science Data Center of China<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref>). The NDVI data had a spatial resolution of 30&#x2009;&#x00D7;&#x2009;30&#x2009;m, which aligned with the area of our field survey sites. We calculated ecosystem temporal stability as the ratio of the mean NDVI from 2000&#x2013;2020 to the SD of NDVI (<xref ref-type="bibr" rid="ref76">Wu et al., 2023</xref>) (<xref ref-type="fig" rid="fig2">Figure 2B</xref>). The NDVI time scale is consistent with the climate data time scale.</p>
</sec>
<sec id="sec11">
<label>2.5</label>
<title>Statistical analysis</title>
<p>We employed a piecewise structural equation model (SEM) as a linear mixed-effects model (<xref ref-type="bibr" rid="ref44">Li Z. L. et al., 2019</xref>; <xref ref-type="bibr" rid="ref32">Jin et al., 2022</xref>) to evaluate the direct and indirect effects of environmental factors and stand structure features on forest productivity stability, considering the effects of climate gradients as random. Response variables were summarized to the plot level for analysis. We then considered various alternative reduced models that shared the same causal structure as the initial model and were constructed by eliminating non-significant variables one at a time. The decision to remove a path was based on the performance of the overall model fit and the <italic>p</italic>-value for the path (<italic>p</italic>&#x2009;&#x003E;&#x2009;0.05) (<xref ref-type="bibr" rid="ref74">Wang et al., 2023</xref>). The models were evaluated according to the following two criteria: (1) pathway significance (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05) and satisfactory fit (<italic>p</italic> &#x003E;&#x2009;0.05) and (2) the goodness of fit of the model (chi-square test (&#x03C7;<sup>2</sup>) (<italic>p</italic>&#x2009;&#x003E;&#x2009;0.05) and 0&#x2009;&#x2264;&#x2009;<italic>Fisher&#x2019;s C</italic>/<italic>df</italic>&#x2009;&#x2264;&#x2009;2). Finally, we removed non-significant paths with <italic>p</italic>&#x2009;&#x003E;&#x2009;0.05 in SEMs with satisfactory model fit and then reassessed the model fit (<xref ref-type="bibr" rid="ref10">Chu et al., 2019</xref>).</p>
<p>Due to the high correlations between climate variables (MAT, MAP, and PET) (<italic>r</italic>&#x2009;=&#x2009;0.782&#x2013;0.945) and soil physicochemical properties (Soc, Tn, and Tk) (<italic>r</italic>&#x2009;=&#x2009;0.689&#x2013;0.856), we conducted principal component analyses (PCA) (<xref ref-type="bibr" rid="ref10">Chu et al., 2019</xref>; <xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>) and used the score of the first axis to represent climate (explaining 90.0% of the variation) and the scores of the first three axes to represent soil factors in each plot (explaining 77.4% of the variation) (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S1</xref>, <xref rid="SM1" ref-type="supplementary-material">S2</xref>). We used separate analyses to account for collinearity among environmental variables and stand structure factors (<xref rid="SM1" ref-type="supplementary-material">Supplementary Figures S3</xref>&#x2013;<xref rid="SM1" ref-type="supplementary-material">S6</xref>). We removed highly correlated variables (Pearson <italic>r</italic> &#x003E;&#x2009;0.60) and then performed principal component analysis (PCA) (<xref ref-type="bibr" rid="ref10">Chu et al., 2019</xref>). To make model coefficients comparable in multi-predictor regressions, we normalized the response variables and all the predictors using the z-score (overall mean of 0 and SD of 1) before analyses (<xref ref-type="bibr" rid="ref59">Penone et al., 2019</xref>; <xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="ref86">Zhang et al., 2022</xref>). To account for diversity&#x2013;stability variation with multiple-taxon of relative importance, we calculated the proportions of variance components in a mixed-effects model as follows: lme (Stability &#x2013; Climate_PCA1&#x2009;+&#x2009;Soil_PCA1&#x2009;+&#x2009;Soil_PCA2&#x2009;+&#x2009;Soil_PCA3&#x2009;+&#x2009;&#x03B1;-Tree + &#x03B1;-Shrub + &#x03B1;-Herbs + &#x03B1;-Fauna + &#x03B1;-Fungi + &#x03B1;-Bacteria + Stand structure, random&#x2009;=&#x2009;~ 1|site regions (see Part 2.1)). Using R package <italic>glmm.hp</italic> (<xref ref-type="bibr" rid="ref39">Lai et al., 2022</xref>), we calculated the contributions of these predictors (<xref ref-type="bibr" rid="ref47">Liu C. et al., 2023</xref>), and the relative importance of the predictors was grouped into four identifiable variance fractions: climatic, soil, biodiversity, and stand structure (<xref ref-type="table" rid="tab1">Table 1</xref>). Following the approach in a previous study (<xref ref-type="bibr" rid="ref6">Carol Adair et al., 2018</xref>), we computed the gain or loss in biomass carbon and soil organic carbon stocks (via direct and indirect effects) by multiplying the unstandardized effect size by the range of that variable (<xref ref-type="table" rid="tab1">Table 1</xref>) (<xref ref-type="bibr" rid="ref9">Chen et al., 2023</xref>).</p>
<p>The analyses were carried out in RStudio 4.2.3 (Rstudio Inc) (<xref ref-type="bibr" rid="ref63">R Core Team, 2023</xref>). The SEM analysis was implemented using the &#x2018;piecewiseSEM 2.1.0&#x2019; package (<xref ref-type="bibr" rid="ref41">Lefcheck, 2016</xref>), and LMM analysis was implemented using the &#x2018;nlme 3.1&#x2013;162&#x2019; package (<xref ref-type="bibr" rid="ref60">Pinheiro et al., 2021</xref>) and &#x2018;glmm. hp. 0.0&#x2013;9&#x2019; package (<xref ref-type="bibr" rid="ref39">Lai et al., 2022</xref>). All results were visualized with the &#x2018;ggplot2&#x2019; package (<xref ref-type="bibr" rid="ref75">Wickham, 2016</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="sec12">
<label>3</label>
<title>Results</title>
<p>Forest productivity stability was driven indirectly by tree species diversity to a greater extent than understory woody and herbaceous vegetation species diversity or soil fungi and bacteria species diversity (<xref ref-type="fig" rid="fig3">Figure 3A</xref>, <italic>p</italic> = 0.38, Fisher&#x2019;s C/<italic>df</italic>&#x2009;&#x003C;&#x2009;2). Furthermore, forest productivity stability was affected by environmental factors via the following four paths: (1) the stand structure variables of crown height (CH), variation of height on crown base (CV HCB), and soil physicochemical properties (Tn) positively influenced productivity stability, while the stand basal area (SBA), soil physicochemical properties (Tp), and climate variable TMP negatively influenced productivity stability; (2) the stand structure m-DBH, tree size variation (CV DBH), soil factor Tn, and climate variable TMP first increased CH; m-DBH, stand density (SA), CV DBH, and Tn increased SBA; and &#x03B2;-Tree, CV DBH, and Tp first increased CV HCB; in contrast, m-DBH and SA reduced CV HCB; (3) enhancement in tree richness further increased SA, CV DBH, and &#x03B2;-Tree; and (4) enhancement in climate variables (TMP) and soil physicochemical properties (Tn) further increased tree species diversity (&#x03B1;-Tree), while m-DBH, Tp, and fauna species diversity decreased &#x03B1;-Tree.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Structural equation models: impact of climate, soil physicochemical properties, species diversity, and stand structure variables on forest productivity stability <bold>(A)</bold>. The red and black arrows represent significant positive and negative pathways, respectively. The path coefficients are denoted by bold numbers, and the width of the arrows reflects the strength of the relationship. <bold>(B)</bold> Variance decomposition analysis was conducted using a linear mixed-effects model (LMM), where positive values are indicated in black and negative values are indicated in red. I. Precision is reported as variance decomposition values for each variable. The relative importance of predictors was categorized into four identifiable variance fractions: climatic, soil, diversity, and forest structure. <bold>(C)</bold> The direct or indirect effect size of species diversity and stand structure variables. Significance levels are indicated as <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001 (<sup>&#x002A;&#x002A;&#x002A;</sup>), <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01 (<sup>&#x002A;&#x002A;</sup>), and <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 (<sup>&#x002A;</sup>).</p>
</caption>
<graphic xlink:href="ffgc-07-1354508-g003.tif"/>
</fig>
<p>The results from the decomposition of the linear mixed-effects model reveal that stand structure factors CH, CV HCB, and SBA are the most significant drivers of forest productivity stability, explaining 34% (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), 10% (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05), and 7% variance (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01), respectively (<xref ref-type="fig" rid="fig3">Figure 3B</xref>). Additionally, soil physicochemical properties Tp account for 5% of the variance (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.01). There is an indirect and negative correlation between forest productivity stability and tree species diversity (&#x03B1;-Tree) as well as soil fauna species diversity (&#x03B1;-Fauna), showing a total effect size of &#x2212;0.021 and&#x2009;&#x2212;&#x2009;0.003, respectively (<xref ref-type="fig" rid="fig3">Figure 3C</xref>). Stand structure variables CH, CV HCB, CV DBH, and &#x03B2;-Tree exhibit a positive correlation with forest productivity stability, with CH having the largest overall effect at 0.689. Conversely, stand structure variables SA, SBA, and m-DBH showed a negative correlation with forest productivity stability, with SBA having the smallest overall effect at &#x2212;0.287. According to the structural equation modeling (SEM) results, increasing &#x03B1;-Tree from its minimum to maximum value (<xref ref-type="fig" rid="fig2">Figure 2C</xref>) leads to a decrease of 0.399 in forest productivity stability, while increasing &#x03B1;-Fauna from its minimum to maximum value (<xref ref-type="fig" rid="fig2">Figure 2C</xref>) results in a decrease of 0.231 (<xref ref-type="table" rid="tab2">Table 2</xref>). Increasing stem density (SA) from its minimum to maximum value (<xref ref-type="table" rid="tab1">Table 1</xref>) leads to a decrease of &#x2212;46.665 in forest productivity stability while increasing crown height (CH) from its minimum to maximum value (<xref ref-type="table" rid="tab1">Table 1</xref>) leads to an increase of 20.394 in forest productivity stability (<xref ref-type="table" rid="tab2">Table 2</xref>).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Standardized and unstandardized effect sizes and the gain of forest productivity stability by increasing species diversity and stand structure from minimum to maximum.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable group</th>
<th align="center" valign="top">Predicter</th>
<th align="center" valign="top">Effect</th>
<th align="center" valign="top">Standardized <italic>r</italic></th>
<th align="center" valign="top">Unstandardized <italic>r</italic></th>
<th align="center" valign="top">Stability gain</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle" rowspan="4">Species diversity</td>
<td align="center" valign="middle">&#x03B1;-Tree</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">&#x2212;0.021</td>
<td align="center" valign="middle">&#x2212;0.021</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">&#x2212;0.021</td>
<td align="center" valign="middle">&#x2212;0.021</td>
<td align="center" valign="middle">&#x2212;0.399</td>
</tr>
<tr>
<td align="center" valign="middle">&#x03B1;-Fauna</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">&#x2212;0.003</td>
<td align="center" valign="middle">&#x2212;0.003</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">&#x2212;0.003</td>
<td align="center" valign="middle">&#x2212;0.003</td>
<td align="center" valign="middle">&#x2212;0.231</td>
</tr>
<tr>
<td align="left" valign="middle" rowspan="14">Stand structure</td>
<td align="center" valign="middle">&#x03B2;-Tree</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">0.052</td>
<td align="center" valign="middle">0.052</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">0.052</td>
<td align="center" valign="middle">0.052</td>
<td align="center" valign="middle">0.051</td>
</tr>
<tr>
<td align="center" valign="middle">SA</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">&#x2212;0.183</td>
<td align="center" valign="middle">&#x2212;0.183</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">&#x2212;0.183</td>
<td align="center" valign="middle">&#x2212;0.183</td>
<td align="center" valign="middle">&#x2212;46.665</td>
</tr>
<tr>
<td align="center" valign="middle">m-DBH</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">&#x2212;0.008</td>
<td align="center" valign="middle">&#x2212;0.008</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">&#x2212;0.008</td>
<td align="center" valign="middle">&#x2212;0.008</td>
<td align="center" valign="middle">&#x2212;0.214</td>
</tr>
<tr>
<td align="center" valign="middle">CV DBH</td>
<td align="center" valign="top">Indirect</td>
<td align="center" valign="middle">0.213</td>
<td align="center" valign="middle">0.213</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="top">Total</td>
<td align="center" valign="middle">0.213</td>
<td align="center" valign="middle">0.213</td>
<td align="center" valign="middle">0.271</td>
</tr>
<tr>
<td align="center" valign="middle">CV HCB</td>
<td align="center" valign="middle">Direct</td>
<td align="center" valign="middle">0.177</td>
<td align="center" valign="middle">0.177</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="middle">Total</td>
<td align="center" valign="middle">0.177</td>
<td align="center" valign="middle">0.177</td>
<td align="center" valign="middle">0.281</td>
</tr>
<tr>
<td align="center" valign="middle">CH</td>
<td align="center" valign="middle">Direct</td>
<td align="center" valign="middle">0.689</td>
<td align="center" valign="middle">0.689</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="middle">Total</td>
<td align="center" valign="middle">0.689</td>
<td align="center" valign="middle">0.689</td>
<td align="center" valign="middle">20.394</td>
</tr>
<tr>
<td align="center" valign="middle">SBA</td>
<td align="center" valign="middle">Direct</td>
<td align="center" valign="middle">&#x2212;0.287</td>
<td align="center" valign="middle">&#x2212;0.287</td>
<td/>
</tr>
<tr>
<td/>
<td align="center" valign="middle">Total</td>
<td align="center" valign="middle">&#x2212;0.287</td>
<td align="center" valign="middle">&#x2212;0.287</td>
<td align="center" valign="middle">&#x2212;6.598</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec sec-type="discussion" id="sec13">
<label>4</label>
<title>Discussion</title>
<p>Contrary to conventional perspectives that emphasize climate&#x2019;s dominant role in driving ecosystem function (<xref ref-type="bibr" rid="ref85">Zhang and Liang, 2014</xref>), our study illustrates that climate and tree diversity indirectly influence forest productivity stability through their effects on stand structure. The model developed in this study incorporates climate, soil, tree, understory plant, soil biota diversity, and stand structure and shows that there is no significant direct impact of understory plant, soil fungi, and bacteria species diversity on the stability of the forest ecosystem. Rather, our findings reveal that tree diversity indirectly influences stability through its impact on stand structure, suggesting an interconnected diversity-structure-stability mechanism. Notably, we observe that stand structure variables are more important than tree and soil fauna species diversity. In sum, our study highlights the potential risks to ecosystem function that are posed by the homogenization of forest communities, particularly in the context of extreme climate events.</p>
<sec id="sec14">
<label>4.1</label>
<title>Tree and soil fauna species diversity drive productivity stability rather than understory plant and soil fungi and bacteria species diversity</title>
<p>Determining the contributions of abiotic and biotic factors to productivity stability can greatly improve current forest management and conservation strategies (<xref ref-type="bibr" rid="ref55">Nabuurs et al., 2013</xref>). Our study provides the first quantitative assessment of the influence of understory vegetation and soil biodiversity on the stability of productivity in Chinese temperate forests. When considering both understory plant and belowground soil biota biodiversity, the best-performing model that includes soil and climatic variables accounts for 92% of the variation in forest productivity stability (<xref ref-type="fig" rid="fig3">Figure 3B</xref>). This value is larger than those in several previous large-scale studies that evaluated forest productivity stability using remote sensing to analyze grassland ecosystems (73% of variation in <xref ref-type="bibr" rid="ref21">Garc&#x00ED;a-Palacios et al., 2018</xref>, and 43% in <xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>) and studies that applied allometric modeling approaches to analyze China&#x2019;s temperate and subtropical forest ecosystems (14% of variation in <xref ref-type="bibr" rid="ref61">Qiao et al., 2022</xref>, and 50% of variation in <xref ref-type="bibr" rid="ref57">Ouyang et al., 2021</xref>). Several previous studies have observed strong associations between tree species diversity and productivity stability in forest ecosystems (<xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="ref61">Qiao et al., 2022</xref>, <xref ref-type="bibr" rid="ref62">2023</xref>). Many studies have also shown that tree species diversity has a positive effect on productivity stability through a combination of processes such as species asynchrony and interactions (<xref ref-type="bibr" rid="ref34">Jucker et al., 2014</xref>; <xref ref-type="bibr" rid="ref57">Ouyang et al., 2021</xref>). Our study reveals that the influence of tree species diversity on productivity stability is mediated by stand structure. These findings are consistent with the study by <xref ref-type="bibr" rid="ref17">Dolezal et al. (2020)</xref> who found that stand structural attributes significantly enhanced community productivity stability at small scales using stem increment data.</p>
<p>However, the results of this study do not indicate significant direct effects of understory woody and herbaceous plant, soil fungi, and bacteria species diversity on forest productivity stability.</p>
<p>A counterview of the biodiversity-stability relationship holds that dominant species play a major role in driving forest productivity stability (<xref ref-type="bibr" rid="ref23">Grman et al., 2010</xref>). The stability of dominant species populations can strongly influence community biomass stability, especially in communities dominated by a small number of species (<xref ref-type="bibr" rid="ref53">Ma et al., 2017</xref>). Although understory vegetation and soil biota exhibit high species diversity, it is worth noting that most of the understory plant species that appeared in response to our experimental treatments were classified as &#x201C;rare,&#x201D; contributing only a small fraction to community biomass stability compared to dominant species (<xref ref-type="bibr" rid="ref53">Ma et al., 2017</xref>). In Northeast China, the biomass of understory vegetation ranges from 2.76 to 9.70&#x2009;t&#x2219;ha<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref32">Jin et al., 2022</xref>), accounting for only 5&#x2013;11% of the biomass of the entire forest ecosystem, the mean value of which is 85.24&#x2009;t&#x2219;ha<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="ref66">Su et al., 2016</xref>). Large studies have shown that soil biota diversity and plant diversity both contribute to productivity stability in grasslands (<xref ref-type="bibr" rid="ref71">Wagg et al., 2014</xref>; <xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>). Soil biota affected productivity stability via multiple direct and indirect pathways through soil nutrient availability or plant species richness. In some cases, the association between productivity stability and soil biota species diversity is equivalent to that between productivity stability and plant species diversity in grassland ecosystems (<xref ref-type="bibr" rid="ref76">Wu et al., 2023</xref>). However, the strength and direction of these effects vary between soil biota groups (<xref ref-type="bibr" rid="ref8">Chen et al., 2021</xref>) and ecosystem types (<xref ref-type="bibr" rid="ref24">Gross et al., 2014</xref>). One aspect, in particular, is likely to be especially relevant for determining which processes drive productivity stability: the fact that grassland community species change in relative abundance from year to year, whereas shifts in community composition occur much more slowly in forests (<xref ref-type="bibr" rid="ref34">Jucker et al., 2014</xref>). Furthermore, there are strongly positive linkages between plant species diversity and soil biota species at local scales (<xref ref-type="bibr" rid="ref80">Yang et al., 2014</xref>, <xref ref-type="bibr" rid="ref82">2016</xref>). Our research reveals that soil fauna influence the productivity stability of forest ecosystems through their interactions with tree species diversity at a large scale.</p>
</sec>
<sec id="sec15">
<label>4.2</label>
<title>Stand structure is more important than tree and soil fauna species diversity in driving productivity stability</title>
<p>Our results indicate that CH (34%, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), CV HCB (10%, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05), and SBA (7%, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01) are the most important drivers of productivity stability. These findings align with <xref ref-type="bibr" rid="ref21">Garc&#x00ED;a-Palacios et al. (2018)</xref> who found that mean height was the most important variable for predicting productivity stability. Across the global network of drylands analyzed in the study, the dominance of particular species was associated with productivity stability, as indicated by the significant quadratic effect of mean plant height (<xref ref-type="bibr" rid="ref21">Garc&#x00ED;a-Palacios et al., 2018</xref>). There are several reasons for this. First, high tree richness (&#x03B1;-diversity) promotes stand density and size difference due to species characteristics. These stand structure factors are critical component of ecosystem resilience, or the capacity of an ecosystem to persist through and re-organize after disturbance, adapt to shifting environmental conditions, and maintain basic structure and function over time (<xref ref-type="bibr" rid="ref22">Gonzalez and Loreau, 2009</xref>; <xref ref-type="bibr" rid="ref11">Churchill et al., 2013</xref>). Furthermore, these variables further promote CH, SBA, and CV HCB. Second, higher turnover in tree species diversity (&#x03B2;-diversity) enhances resilience by increasing the variation in canopy height and spatial asynchrony among communities, thereby stabilizing productivity according to the spatial insurance hypothesis (<xref ref-type="bibr" rid="ref29">Hautier et al., 2020</xref>). Our results also indicate that stand basal area (SBA) and soil property (Tn) negatively affect productivity stability. Higher SBA may promote intraspecific competition and dieback, while higher Tn increases vegetation growth rate. In considering multiple environmental factors together, we found that climate is the ultimate driver of productivity stability in our models because it promotes tree species diversity. Variations in precipitation and temperature (<xref ref-type="bibr" rid="ref36">Knapp and Smith, 2001</xref>; <xref ref-type="bibr" rid="ref16">Dobrowski et al., 2013</xref>) create fine-scale mosaics of environmental conditions (<xref ref-type="bibr" rid="ref35">Kane et al., 2019</xref>) and affect tree species diversity. Various tree species also contribute different heights, crown architecture, and structural complexity, which directly influence the ecological niche and micro-climate within forest communities. Climate factors not only control diversity and productivity but also influence the capacity for diversity to stabilize ecosystem function by altering the mechanisms that link diversity-structure-stability. These findings highlight the crucial roles of climate and diversity in determining forest ecosystem stability. However, it must be acknowledged that we did not calculate the gains of forest productivity stability brought about by changes in climate factors.</p>
</sec>
</sec>
<sec id="sec16">
<label>5</label>
<title>Conclusion and management implications</title>
<p>Our research is an important step toward understanding the drivers of productivity stability at a large scale and the relative importance of the diversity and stand structure of tree, understory woody and herbaceous plant, soil fauna, and fungi and bacteria species. The findings clearly demonstrate that tree and soil fauna species diversity drives productivity stability by stand structure to a greater extent than the diversity of understory plant, soil fungi, and bacteria species. Furthermore, stand structure is a more important driver of forest productivity stability than the diversity of tree and soil fauna species. This conclusion is evidently quite different from the current understanding of grassland ecosystems. These findings underscore the potential risks associated with the loss of stand structure diversity, which may lead to a reduction in productivity stability, especially in the face of future extreme drought events and disturbances. While the study highlights the significance of species diversity, it is equally crucial to recognize the importance of structural diversity. This awareness highlights the need for enhanced efforts at biodiversity conservation and stability to prevent homogenization of biotic communities and structures. Such efforts should not only focus on local species diversity loss but also encompass the maintenance and restoration of structural diversity in the context of ongoing climate change.</p>
</sec>
<sec sec-type="data-availability" id="sec17">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref rid="SM1" ref-type="supplementary-material">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec18">
<title>Author contributions</title>
<p>TW: Data curation, Formal analysis, Software, Writing &#x2013; original draft. LD: Conceptualization, Project administration, Supervision, Writing &#x2013; review &#x0026; editing. ZL: Conceptualization, Funding acquisition, Supervision, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec19">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This study was supported by the National Key R&#x0026;D Program of China [grant number 2022YFD2200502], and the Fundamental Research Funds for the Central Universities of China [grant number 2572021DT07].</p>
</sec>
<ack>
<p>The authors would like to thank Dr. Daniel Petticord at the University of Cornell for his assistance with the English language and grammatical editing of the manuscript. The National Ecology Science Data Center, the National Earth System Science Data Center, the National Science &#x0026; Technology Infrastructure of China (NESSDC, <ext-link xlink:href="http://www.geodata.cn" ext-link-type="uri">http://www.geodata.cn</ext-link>), and the National Tibetan Plateau Data Center (NTPDC, <ext-link xlink:href="https://data.tpdc.ac.cn/" ext-link-type="uri">https://data.tpdc.ac.cn/</ext-link>) are acknowledged for the data support.</p>
</ack>
<sec sec-type="COI-statement" id="sec20">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<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>
<sec sec-type="supplementary-material" id="sec21">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/ffgc.2024.1354508/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/ffgc.2024.1354508/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn id="fn0001">
<p><sup>1</sup><ext-link xlink:href="http://www.geodata.cn" ext-link-type="uri">http://www.geodata.cn</ext-link>
</p>
</fn>
<fn id="fn0002">
<p><sup>2</sup><ext-link xlink:href="http://www.nesdc.org.cn/" ext-link-type="uri">http://www.nesdc.org.cn/</ext-link>
</p>
</fn>
</fn-group>
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