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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2024.1394112</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Whole-tree harvesting improves the ecosystem N, P and K cycling functions in secondary forests in the Qinling Mountains, China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Pang</surname>
<given-names>Yue</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tian</surname>
<given-names>Jing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1370958"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Qiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1147691"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Dexiang</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2669891"/>
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</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Forestry, Hebei Agricultural University</institution>, <addr-line>Baoding</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>College of Forestry, Northwest A&amp;F University</institution>, <addr-line>Yangling, Shaanxi</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Sebastian Leuzinger, Auckland University of Technology, New Zealand</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Chaofan Zhou, Chinese Academy of Forestry, China</p>
<p>Zunchi Liu, Beijing Normal University, China</p>
<p>Dang Peng, Central South University Forestry and Technology, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Dexiang Wang, <email xlink:href="mailto:wangdx662023@163.com">wangdx662023@163.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1394112</elocation-id>
<history>
<date date-type="received">
<day>01</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>11</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Pang, Tian, Liu and Wang</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Pang, Tian, Liu and Wang</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>
<p>Forest ecosystem nutrient cycling functions are the basis for the survival and development of organisms, and play an important role in maintaining the forest structural and functional stability. However, the response of forest nutrient cycling functions at the ecosystem level to whole-tree harvesting remains unclear. Herein, we calculated the ecosystem nitrogen (N), phosphorus (P), and potassium (K) absorption, utilization, retention, cycle, surplus, accumulation, productivity, turnover and return parameters and constructed N, P, and K cycling function indexes to identify the changes in ecosystem N, P, and K cycling functions in a secondary forest in the Qinling Mountains after 5 years of five different thinning intensities (0% (CK), 15%, 30%, 45%, and 60%). We showed that the ecosystem&#x2019;s N, P, and K cycling parameters varied significantly and responded differently to thinning treatments. As the thinning intensity increased, the N, P, and K cycling function indexes increased by 5%~232%, 32%~195%, and 104%~233% compared with CK. Whole-tree harvesting promoted ecosystem N and P cycling functions through two pathways: (a) directly regulated litter biomass, indirectly affected soil nutrient characteristics, and then regulated ecosystem N and P cycling functions; (b) directly regulated plant productivity, indirectly affected plant and soil nutrient characteristics, and then regulated ecosystem N and P cycling functions. In contrast, whole-tree harvesting mainly indirectly affected the plant and soil nutrient characteristics by directly adjusting the plant productivity, and promoting the ecosystem K cycling function. Furthermore, N and P cycling functions were mainly regulated by understory plant productivity while tree and herb nutrient characteristics were key driving factors for K cycling functions. These findings indicated that whole-tree harvesting significantly improved the ecosystem N, P and K cycling functions, and reveals varied regulatory mechanisms, which may aid in formulating effective measures for sustainable forest ecosystem nutrient management.</p>
</abstract>
<kwd-group>
<kwd>Nutrient cycling functions</kwd>
<kwd>whole-tree harvesting</kwd>
<kwd>secondary forests</kwd>
<kwd>ecosystem level</kwd>
<kwd>thinning intensities</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="14"/>
<ref-count count="73"/>
<page-count count="15"/>
<word-count count="7771"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Functional Plant Ecology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Nutrient utilization is critical for the survival and growth of organisms in forest ecosystems. The cycling and balance of essential nutrients such as nitrogen (N), phosphorus (P), and potassium (K) are key to maintaining the stability and long-term productivity of these ecosystems (<xref ref-type="bibr" rid="B54">Tamm, 2012</xref>; <xref ref-type="bibr" rid="B42">Qi et&#xa0;al., 2022</xref>). Nutrient cycling in forest ecosystems involves nutrient exchange, absorption, distribution, and return between ecosystem components and the environment (<xref ref-type="bibr" rid="B12">G&#xe9;rard et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B19">Johnson and Turner, 2019</xref>; <xref ref-type="bibr" rid="B26">Legout et&#xa0;al., 2020</xref>). Previous research has largely focused on nutrient cycling characteristics in individual ecosystem components (<xref ref-type="bibr" rid="B67">Zhang et&#xa0;al., 2018a</xref>; <xref ref-type="bibr" rid="B16">Hou et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B63">Yan et&#xa0;al., 2019</xref>) and the development of parameters such as nutrient use efficiency and nutrient enrichment coefficients at both regional and global scales (<xref ref-type="bibr" rid="B27">Li, 1997</xref>; <xref ref-type="bibr" rid="B57">Turner and Lambert, 2015</xref>), which greatly advanced research on nutrient cycling mechanisms and deepened our theoretical understanding of nutrient cycling in forest ecosystems. However, few reports explore nutrient cycling functions from an ecosystem perspective. In nature, forest ecosystems are composed of different ecological components, and nutrient recycling processes are interconnected. Therefore, it is necessary to research forest ecosystem nutrient cycling functions, which is essential for understanding forest ecosystem structure and function and elucidating nutrient cycling mechanisms.</p>
<p>Ecosystem functions are the basis of stable and sustainable ecosystem development (<xref ref-type="bibr" rid="B14">Hector and Bagchi, 2007</xref>). The ecosystem function index is often used to quantify the ability of an ecosystem to provide and maintain ecosystem functions. Research based on this theoretical parameter has been reflected in many fields. For instance, <xref ref-type="bibr" rid="B17">Jia et&#xa0;al. (2022)</xref> explored associations between soil quality and ecosystem multifunctionality driven by fertilization management in the North China Plain. <xref ref-type="bibr" rid="B65">Yang et&#xa0;al. (2023)</xref> studied responses of soil microbial diversity, network complexity and multifunctionality to three land-use changes at spatial-temporal scales. <xref ref-type="bibr" rid="B35">Moi et&#xa0;al. (2022)</xref> focused on the analysis of biodiversity-multifunctionality relationships under human pressure in large Neotropical wetlands. As mentioned above, the ecosystem function index has been widely developed in the study of ecosystem multifunctional mixtures, providing substantial data for ecosystem function evaluation. However, the concept of this function index is rarely used to assess specific ecosystem nutrient cycling functions, and research in this area is crucial for forest health and sustainable development. Thus, constructing the forest ecosystem nutrient cycling function indices is essential for expanding our knowledge about forest ecosystem functions.</p>
<p>Forest ecosystem nutrient cycling functions are complex and are influenced by both biotic and abiotic factors; simultaneously, nutrient elements have heterogeneous cycling patterns due to their different roles in the ecosystem (<xref ref-type="bibr" rid="B18">Johnson and Lindberg, 2013</xref>; <xref ref-type="bibr" rid="B58">Vitousek, 2018</xref>). Forest thinning, a key forest management practice, modifies the community structure, directly affects the distribution of light, heat, water and other resources in the forest ecosystem, and indirectly influences resource competition, litter quality, and soil nutrient fertility within vegetation communities, potentially impacting nutrient cycling and balance (<xref ref-type="bibr" rid="B71">Zhang et&#xa0;al., 2018b</xref>; <xref ref-type="bibr" rid="B29">Li et&#xa0;al., 2020</xref>). For instance, some studies have shown that thinning removes a large number of branches and leaves, resulting in nutrient loss and decreased soil fertility (<xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B11">Garrett et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B6">Chen C. et al., 2023</xref>). In contrast, some other researchers have found that thinning may also reduce community nutrient competition pressure and accelerate nutrient recycling rates, thereby increasing the nutrient concentration of fresh leaves and litter and reducing the nutrient reabsorption rates (<xref ref-type="bibr" rid="B31">Ma et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B44">Qiu et&#xa0;al., 2020</xref>). However, relatively few studies have examined how forest nutrient cycling functions respond to whole-tree harvesting, even though whole-tree harvesting removes more aboveground tree parts (stems, needles, branches, twigs) than conventional stem-only harvesting, resulting in more significant changes in community structure and ecosystem nutrient loss (<xref ref-type="bibr" rid="B64">Yan et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B39">Pang et&#xa0;al., 2021b</xref>). Moreover, the regulatory mechanisms of forest thinning on nutrient cycling functions are not yet fully understood and require further investigation. Therefore, investigating the response rules of forest ecosystem nutrient cycling functions following whole-tree thinning and clarifying the regulatory pathways are crucial for revealing the nutrient cycling mechanism following thinning and can provide further insights into formulating a reasonable forest management system.</p>
<p>The Qinling Mountains are significant secondary forest regions located in the transitional zone between the subtropical and warm temperate zones of central China (<xref ref-type="bibr" rid="B38">Pang et&#xa0;al., 2022</xref>). So far, Qinling secondary forests cover 80% of the Qinling forest area under the protection of the &#x201c;Natural Forest Protection Program&#x201d;, making great contributions to the region&#x2019;s vegetation reconstruction, soil and water conservation, carbon fixation and oxygen release (<xref ref-type="bibr" rid="B66">Yu et&#xa0;al., 2023</xref>). Nevertheless, these secondary forests have poor growth conditions, low ecological functions, and vulnerable stability. Whole-tree harvesting, a common forest management practice in the Qinling Mountains, is used to improve forest productivity and restore ecological functions. However, this practice can result in significant nutrient loss, raising concerns about its long-term effects on forest health and nutrient cycling functions. Numerous studies have evaluated the variation in the vegetation community structures, soil physical and chemical properties and microbial metabolic activity (<xref ref-type="bibr" rid="B46">Ren et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B22">Kang et&#xa0;al., 2022</xref>); but, the effects of whole-tree harvesting on nutrient cycling functions in these secondary forests at the ecosystem level are not well understood.</p>
<p>This study aims to: (1) analyze the nutrient cycling characteristics of the secondary forest ecosystem following whole-tree harvesting, and (2) construct nutrient cycling function indexes to explore the mechanisms driving changes in nutrient cycling. Thus, we measured the C, N, P, and K nutrient characteristics of trees, shrubs, herbs, litter, and soil at the plot level in secondary forests in the Qinling Mountains after 5 years of five thinning intensities (CK: 0%, T1: 15%, T2: 30%, T3: 45%, T4: 60% of the stand volume removed), and calculated the ecosystem N, P, and K absorption, utilization, retention, cycle, surplus, accumulation, productivity, turnover and return parameters. We further constructed the ecosystem N, P, and K cycling function indexes and analyzed the relationships among ecosystem nutrient cycling functions and forest stand characteristics, soil properties and ecosystem component nutrient characteristics. We hypothesized that (1) there may be significant differences in the ecosystem N, P, and K cycling characteristics due to the heterogeneous effects of nutrient elements; (2) whole-tree harvesting would have a negative impact on the ecosystem N, P, and K cycling functions because whole-tree harvesting causes substantial nutrient loss; (3) whole-tree harvesting may regulate nutrient cycling functions differently due to the significant disturbances it causes to vegetation, soil, and the overall environment.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Site description and experimental design</title>
<p>The study was performed in the Qinling National Forest Ecosystem Research Station (33&#xb0;18&#x2032;-33&#xb0;28&#x2032;N, 108&#xb0;21&#x2032;-108&#xb0;39&#x2032;E), which is located in Ningshaan County, Shaanxi Province, China. The area covers 22.25 km<sup>2</sup> and has a subtropical humid montane climate. The average annual temperature is 10.5&#xb0;C, and the annual precipitation is 1000 mm, with an average frost-free period of 199 days and a growth period of 177 days (<xref ref-type="bibr" rid="B39">Pang et&#xa0;al., 2021b</xref>, <xref ref-type="bibr" rid="B38">2022</xref>). The soil types in the sampling area are classified as Cambisols, Umbrisols, and Podzols according to the Food and Agriculture Organization (FAO) classification system. Across the site, the average soil layer thickness and humus matter thickness are 50 cm and 8 cm, respectively. The forests underwent rotational felling or firewood cutting during the 1960s and 1970s at this research station. After natural regeneration, secondary growth dominated the study area, and the dominant tree species are <italic>Quercus aliena</italic> var. <italic>acutiserrata</italic>, <italic>Quercus variabilis</italic>, <italic>Pinus armandii</italic>, <italic>Betula albosinensis</italic>, <italic>Picea asperata</italic>, and <italic>Populus davidiana</italic>. Additionally, shrubs including <italic>Lonicera tragophylla</italic>, <italic>Cerasus stipulacea</italic>, and <italic>Symplocos paniculate</italic>, as well as herbs including <italic>Lysimachia christinae</italic>, <italic>Rubus parvifolius</italic>, <italic>Saussurea mutabilis</italic>, and <italic>Rubia cordifolia</italic> occupy the understory space.</p>
<p>To guide the development of secondary forests towards a healthy stand structure, this study implemented a target tree operation system to transform the existing secondary forests based on the principles of near-natural forest management. Based on field surveys, we selected secondary stands with similar geographical and micro-topographic conditions. The whole-tree harvesting experiment with a complete randomized block design with 5 treatments and 4 replicates, making a total of 20 plots (20 m in length &#xd7; 20 m in width), were established in the secondary forests in September 2013. At the same time, tree height and diameter at breast height (DBH &#x2265; 5 cm, measured at 1.3 m) were recorded for each plot. The treatments were 5 levels of thinning intensity: no thinning as a control with (CK), 15% removal of the stand volume (T1), 30% removal of the stand volume (T2), 45% removal of the stand volume (T3), 60% removal of the stand volume (T4). To avoid potential edge effects, a 5-m-wide buffer zone was established around each plot. All harvested materials, including leaves, branches, stems, bark, and twigs, were removed from the plots. We conducted the survey and sampling for this study in 2018, 5 years after the whole-tree harvesting treatment. Detailed setup information about the blocks and plots are presented in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S1</bold>
</xref>.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Plant, litter and soil sample collection and survey</title>
<p>Plant samples were collected in August 2018 during the peak growing season. For trees, the tree height and diameter at breast height (DBH &#x2265; 5 cm, 1.3 m) in each plot were measured again before sampling, and the trees were also classified and counted by species. Tree leaves, branches, stems, bark, and roots were then sampled by species through pruning, cutting, drilling, and digging, as detailed in our previous study (<xref ref-type="bibr" rid="B37">Pang et&#xa0;al., 2021a</xref>). We calculated the tree organ biomass based on the allometric equations developed for trees in or near the study area (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S1</bold>
</xref>). According to the biomass ratios of different species organs, the different organ samples of the trees were mixed evenly. To evaluate the species diversity of shrub and herb, five shrub subplots (2 &#xd7; 2 m) and five herb subplots (1 &#xd7; 1 m) were established in each plot, and a whole-plant sampling technique was used to collect shrub and herb biomass. After dividing the shrubs into leaves, branches, and roots, and the herbs into aboveground and belowground parts, then mixed into a uniform sample.</p>
<p>At the plot level, we used a root auger (90 mm diameter) to collect 9 fine root point samples at depths of 0&#x2013;20 cm, 20&#x2013;40 cm and 40&#x2013;60 cm in September and November 2018, and April and June 2019. According to the method described by <xref ref-type="bibr" rid="B3">Brassard et&#xa0;al. (2013)</xref>, the fine roots were divided into living and dead groups, including three diameter classes (&lt;0.5 mm, 0.5&#x2013;1mm, and 1&#x2013;2 mm). For litter sampling, six litter traps (90 cm in diameter) were fixed 1 m above the ground to collect tree litter three times in one year, and all the ground litter was collected in five 1 &#xd7; 1 m subplots. Litter was categorized into leaves, branches, and miscellaneous material. Eventually, all subsamples of plant and litter were transported to the laboratory and oven-dried at 70 &#xb0;C to constant weight.</p>
<p>The soil samples were collected from 9 replicate points along an &#x201c;S&#x201d; shape in each plot at 0&#x2013;20 cm, 20&#x2013;40 cm and 40&#x2013;60 cm depths by using a 40 mm diameter stainless-steel auger and mixing the samples into one composite sample per plot. The soil samples were then immediately sieved through a mesh &lt; 2 mm, and stones, plant roots, fauna, and debris were removed. Each soil sample was divided into three parts, the first part was used to determine the soil moisture content; the second part was airdried for physicochemical analyses; and the other portion was stored at 4&#xb0;C for microbial biomass analyses. Soil bulk density samples were obtained randomly from three points per plot by volumetric rings (100 cm<sup>3</sup>).</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Laboratory analyses</title>
<p>All the chemical indicators of plant, litter and soil samples were determined following a previously described method (<xref ref-type="bibr" rid="B1">Bao, 2000</xref>). The carbon (C) contents in plant, litter and soil (SOC) samples were analyzed using the K<sub>2</sub>Cr<sub>2</sub>O<sub>7</sub> oxidation method, while total nitrogen (TN) and total phosphorus (TP) contents were analyzed by colorimetry with an automatic discontinuous elemental analyzer (Clever chem200+, Germany) after wet digestion. Plant, litter and soil total potassium (TK) and soil available potassium (AK) were measured through a flame photometry. Soil available nitrogen (AN) and available phosphorus (AP) were determined by alkaline hydrolysis diffusion and colorimetry respectively. Soil pH was measured in a 1:2.5 soil:water suspension using a glass-electrode meter. Soil moisture content was determined by oven-drying fresh soil at 105&#xb0;C for 48 hours to a constant weight. Similarly, the volumetric ring soil was dried at 105 &#xb0;C to constant weight, and the ratio of soil mass to total volume (g&#xb7;cm<sup>&#x2212;3</sup>) was calculated to obtain the soil bulk density (<xref ref-type="bibr" rid="B9">De Vos et&#xa0;al., 2005</xref>). Microbial biomass C (MBC), N (MBN) and P (MBP) were quantified with a total organic&#xa0;C analyzer (TOC-LCSN, Shimadzu Co., Japan), flow analyzer&#xa0;(AutoAnalyzer 3, Seal Analytical Ltd., UK) and spectrophotometer (UV-1900, Shimadzu Co., Japan) after fumigation (<xref ref-type="bibr" rid="B24">Kim et&#xa0;al., 2018</xref>).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Data calculation and analysis</title>
<sec id="s2_4_1">
<label>2.4.1</label>
<title>Biomass, productivity, nutrient stock, nutrient accumulation rate and nutrient return calculation</title>
<p>Referring to the National Standard of the People&#x2019;s Republic of China &#x201c;Long-term Positioning Observation Method of Forest Ecosystems&#x201d; and &#x201c;Technical Regulations for Continuous Inventory of Forest Resources&#x201d;, the biomass and productivity of trees, shrubs and herbs, the existing biomass and annual biomass of litter, and the total biomass and productivity of the forest ecosystem were calculated respectively. Furthermore, combined with the C, N, P and K characteristics of plant, litter, and soil, the C, N, P and K stocks and accumulation rates across tree, shrub, and herb layers, the C, N, P and K return amounts of aboveground and belowground parts, the C, N, P and K stocks in the soil layer, and the C, N, P and K stocks, plant C, N, P and K accumulation rates, and plant C, N, P and K return amounts at the ecosystem level were obtained. Detailed methods used to quantify the above parameters are included in the SI Materials and Methods.</p>
</sec>
<sec id="s2_4_2">
<label>2.4.2</label>
<title>Ecosystem nutrient cycling parameter calculation</title>
<p>The calculation of ecosystem nutrient cycling parameters refers to the method described by <xref ref-type="bibr" rid="B30">Liu (2009)</xref>.</p>
<p>Nutrient flux parameters:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>TR</italic> is total N, P or K return amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>), <italic>PR</italic> is plant N, P or K return amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>, ecosystem plant N, P or K return amounts); <italic>RI</italic> is rainfall N, P or K input amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>): the rainfall nutrient input amounts in this research were determined by reviewing the literature on rainfall nutrient content that has been reported in this study area (<xref ref-type="bibr" rid="B68">Zhang, 2005</xref>; <xref ref-type="bibr" rid="B72">Zhao, 2015</xref>; <xref ref-type="bibr" rid="B28">Li, 2017</xref>), N: 5.44 kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>, P: 0.268 kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>, K: 11 kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup> respectively; <italic>RO</italic> is N, P or K runoff output amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>): Note that the runoff output in this study area is dominated by subsurface runoff, and the output and input up and down slopes are basically in balance (<xref ref-type="bibr" rid="B69">Zhang et&#xa0;al., 2000</xref>). Therefore, no runoff nutrient export is assumed in this study area.</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>NB</italic> is N, P or K absorption amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>, absorbed by the ecosystem plant layer in one year), <italic>CL</italic> is N, P or K retention amounts (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>, ecosystem plant N, P or K accumulation rate).</p>
<p>Nutrient supply capacity parameters:</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>SP</italic> is soil N, P or K surplus amount (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>), <italic>SPR</italic> is soil N, P or K surplus percentage (%), <italic>SW</italic> is soil N, P or K stock (kg&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>); <italic>SP</italic> and <italic>SPR</italic> describe the ecosystem N, P or K supply capacity.</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>NP</italic> is N, P or K productivity (t&#xb7;kg<sup>-1</sup>), <italic>PP</italic> is plant productivity(t&#xb7;ha<sup>-1</sup>&#xb7;year<sup>-1</sup>); <italic>NP</italic> represents the dry matter mass that can be produced per unit weight of N, P or K absorption.</p>
<p>Nutrient cycling parameters:</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>ax</italic> is N, P or K absorption coefficient; <italic>ax</italic> represents the N, P or K absorption capacity of plant roots from the soil N, P or K pool.</p>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>ux</italic> is N, P or K utilization coefficient, <italic>FS</italic> is total N, P or K stocks in the forest stand; <italic>ux</italic> represents the plant&#x2019;s ability to maintain the N, P or K required for growth at the ecosystem level.</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>cx</italic> is N, P or K cycle coefficient; the <italic>cx</italic> represents the cycle intensity of N, P or K in the ecosystem, and the larger the value, the faster the cycle rate.</p>
<disp-formula id="eq9">
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>c</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>rx</italic> is N, P or K recycling coefficient; the <italic>rx</italic> represents the average recycling numbers of a unit substance before leaving the system, which can better reflect the forest land soil N, P or K status under severe human interference.</p>
<disp-formula id="eq10">
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>ncx</italic> is N, P or K retention coefficient; the <italic>ncx</italic> represents the plant&#x2019;s ability to retain N, P or K, and the smaller the value, the higher the nutrient utilization efficiency.</p>
<disp-formula id="eq11">
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>pt</italic> is plant N, P or K turnover time coefficient, <italic>PS</italic> is plant N, P or K stock; <italic>pt</italic> represents the time required for the plant N, P or K pool to go through a cycle, and the larger the value, the more N, P or K the plant needs.</p>
<disp-formula id="eq12">
<label>(12)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>pax</italic> is plant N, P or K stock accumulation coefficient; the <italic>pax</italic> reflects the accumulation rate of plant N, P or K stock pools.</p>
</sec>
<sec id="s2_4_3">
<label>2.4.3</label>
<title>Ecosystem nutrient cycling function index</title>
<p>The ecosystem function index was employed to systematically extract comprehensive information from nutrient flux, nutrient supply capacity, and nutrient cycling parameters.</p>
<p>First, the Z-scores of the ecosystem nutrient cycling parameters were calculated in each plot.</p>
<disp-formula id="eq13">
<label>(13)</label>
<mml:math display="block" id="M13">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>Z<sub>ij</sub>
</italic> represents the Z-score of the <italic>j-th</italic> N, P or K cycling parameter in plot <italic>i</italic>; <italic>x<sub>ij</sub>
</italic> represents the value of the <italic>j-th</italic> N, P or K cycling parameter in plot <italic>i</italic>; <italic>&#x3bc;<sub>j</sub>
</italic> represents the mean value of the <italic>j-th</italic> N, P or K cycling parameter; <italic>&#x3c3;<sub>j</sub>
</italic> represents the <italic>j-th</italic> N, P or K cycling parameter standard deviation; where <italic>i</italic> ranges from 1-20 and <italic>j</italic> ranges from 1-12.</p>
<p>Then, the Z-scores of the nutrient cycling parameters in each plot were averaged, which is the ecosystem nutrient cycling function index (M) in each plot.</p>
<disp-formula id="eq14">
<label>(14)</label>
<mml:math display="block" id="M14">
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msubsup>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <italic>M<sub>i</sub>
</italic> is the secondary forest ecosystem N, P, or K cycling function index of the <italic>i-th</italic> plot, n is the number of nutrient cycling parameters involved in the calculation, n=12.</p>
</sec>
<sec id="s2_4_4">
<label>2.4.4</label>
<title>Basis for selection of factors affecting ecosystem nutrient cycling function</title>
<p>The forest ecosystem nutrient cycling functions are affected by complex and diverse biotic and abiotic factors. Referring to previous studies, 58 explanatory factors were initially screened. Among them, the forest stand characteristics of tree, shrub, herb, litter and fine root (&lt;0.5mm, 0.5-1mm, 1-2mm, &lt;2mm) productivity, shrub and herb diversity, and litter biomass can reflect the nutrient competition diversity and consumption level in the community. Soil pH, moisture content, and bulk density are key parameters that affect vegetation growth and development and soil nutrient mineralization, and have an important impact on ecosystem nutrient cycling. The nutrient pool characteristics of the soil (C, N, P, K, C:N, C:P, N:P, AN, AP, AK, MBC, MBN, MBP, MCN (MBC: MBN), MCP (MBC: MBP), MNP (MBN: MBP)), plant (C, N, P, K and their stoichiometric ratios of tree, shrub, and herb functional groups at the ecosystem level, see details in SI Materials and Methods) and litter (GC (litter C), GN (litter N), GP (litter P), GK (litter K), GC:N (GC: GN), GC:P (GC: GP), GN:P (GN: GP)) are all the ecosystem nutrient cycling components and promote the development of the ecosystem nutrient cycling function.</p>
</sec>
<sec id="s2_4_5">
<label>2.4.5</label>
<title>Statistical analysis</title>
<p>All data were checked for normality and homogeneity of variance and transformed if necessary. A linear mixed-effect model was used to evaluate the statistical significance of ecosystem components (plant, litter and soil) and ecosystem biomass, productivity, C, N, P and K stocks, C, N, P and K accumulation rates, C, N, P and K return amounts, C, N, P and K cycling parameters, and N, P and K cycling functions under different thinning intensities. The models included thinning intensities, plant organ components, soil layers, nutrient element categories or their interaction terms as the fixed factors and block or block and plot as the random factors. For all models, the significance of fixed effects was assessed using Satterthwaite approximations for degrees of freedom. When fixed effects or interactions were significant, the least square means differences test was used for multiple comparisons. Pearson correlation and Boruta feature selection were performed to explore the correlation between ecosystem N, P, and K cycling function indexes and influencing factors, and to determine optimal predictors. Variation partitioning analysis (VPA) was employed to analyze the contribution of category driver factors to changes in ecosystem N, P and K cycling functions. Partial least squares path modeling (PLS-PM) was used to further identify the possible pathways that whole-tree harvesting regulates the ecosystem N, P and K cycling functions. All analyses were implemented using R for Windows version 4.1.1 statistical software (<xref ref-type="bibr" rid="B45">R Development Core Team, 2017</xref>).</p>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Biomass, productivity, nutrient stock, nutrient accumulation rate and nutrient return</title>
<p>The biomass and productivity of tree and ecosystem, and ground litter biomass were significantly reduced with increasing thinning intensity, whereas shrub and herb biomass and productivity showed the opposite trend (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S2&#x2013;S9</bold>
</xref>, p &lt; 0.05). Although litter miscellaneous productivity was significantly higher in T2 and T3 than in other thinning treatments (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S8A</bold>
</xref>, p &lt; 0.05), total litter productivity did not respond significantly to the thinning treatments (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S8B</bold>
</xref>, p &gt; 0.05).</p>
<p>Overall, thinning significantly reduced tree C, N, P and K stocks and accumulation rates, ground litter C, N, P and K stocks, soil C, N and P stocks, ecosystem C, N and P stocks and accumulation rates and ecosystem K accumulation rate, and significantly increased the ecosystem K stock and the stocks and accumulation rates of shrub and herb C and N, shrub P and herb K (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S3</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S10&#x2013;S16</bold>
</xref>, p &lt; 0.05). The shrub K and herb P stocks and accumulation rates were nonsignificant among the different thinning intensities (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S3</bold>
</xref> and <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S11G, H</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S15G, H</bold>
</xref>, p &gt; 0.05).</p>
<p>As shown in <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S17</bold>
</xref>, the tree litter C concentration was highest in winter, while N, P, and K concentrations peaked during the spring-summer period while the return amounts of tree litter C, N, P, and K were significantly higher in autumn than in other seasons (p &lt; 0.05). However, total aboveground litter C, N, P, and K return amounts did not respond significantly to thinning treatments (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S18</bold>
</xref>, p &gt; 0.05).</p>
<p>Although the &lt;0.5mm fine root in T2 and T4 exhibited significantly higher productivity, turnover rate, and C, N, P, and K return amounts than in other treatments (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S19</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S20A&#x2013;D</bold>
</xref>, p &lt; 0.05), no significant differences were observed in total (&lt;2mm) fine root C, N, P, and K return amounts across thinning intensities (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S20E-H</bold>
</xref>, p &gt; 0.05).</p>
<p>Likewise, thinning did not significantly impact total plant C, N, P, and K return amounts at the ecosystem level (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S21</bold>
</xref>, p &gt; 0.05).</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Ecosystem nutrient cycling parameters and nutrient cycling function indexes among thinning treatments</title>
<p>Significant differences were observed among ecosystem N, P, and K cycling parameters, which showed varied responses to thinning treatments (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). The ecosystem N total return amounts, absorption amounts, absorption coefficient, and utilization coefficient were the highest (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1A&#x2013;D</bold>
</xref>, p &lt; 0.05), while the N surplus amounts and surplus rate were the lowest (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1F, J</bold>
</xref>, p &lt; 0.05). The ecosystem P productivity, retention coefficient, and plant nutrient turnover time were at their highest levels (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1G, I, K</bold>
</xref>, p &lt; 0.05). The ecosystem N and K cycle coefficient, recycling coefficient and plant nutrient accumulation coefficient were comparable and significantly higher than those parameters of P (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1E, H, L</bold>
</xref>, p &lt; 0.05).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>N, P and K cycling parameters in ecosystem under different thinning intensities. <bold>(A)</bold> Total nutrient return, <bold>(B)</bold> nutrient absorption, <bold>(C)</bold> absorption coefficient, <bold>(D)</bold> utilization coefficient, <bold>(E)</bold> cycle coefficient, <bold>(F)</bold> soil nutrient surplus (%), <bold>(G)</bold> nutrient productivity, <bold>(H)</bold> nutrient recycling coefficient, <bold>(I)</bold> nutrient retention coefficient, <bold>(J)</bold> nutrient surplus, (K) plant nutrient turnover coefficient, <bold>(L)</bold> plant nutrient accumulation coefficient. CK, T1, T2, T3, T4 represent 0%, 15%, 30%, 45% and 60% thinning intensity, respectively. T, treat; N, nutrient element. Different letters indicate significant differences between different thinning intensities. ns, non-significant, * p &lt; 0.05, ** p &lt; 0.01, *** p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g001.tif"/>
</fig>
<p>The ecosystem N, P, and K total return amounts and productivity had no significant responses to the thinning treatments (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1A, G</bold>
</xref>, p &gt; 0.05). The N, P, and K absorption amounts, retention coefficients, and plant turnover nutrient time significantly decreased as thinning intensities increased (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1B, I, K</bold>
</xref>, p &lt; 0.05), while the N, P and K cycle coefficient, recycling coefficient, surplus amounts, and plant nutrient accumulation coefficient significantly increased (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1E, H, J, L</bold>
</xref>, p &lt; 0.05). Thinning significantly increased the ecosystem N absorption coefficient and utilization coefficient, and showed opposite effects on the P and K absorption coefficients and utilization coefficients (<xref ref-type="fig" rid="f1">
<bold>Figures&#xa0;1C, D</bold>
</xref>, p &lt; 0.05). The N surplus rate in T2 was significantly lower than other treatments, while there was a significant increasing trend in ecosystem P and K surplus rates following thinning intensities (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1F</bold>
</xref>, p &lt; 0.05).</p>
<p>Compared with CK, thinning improved the ecosystem N, P, and K cycling function indexes by 5%~232%, 32%~195%, and 104%~233% respectively (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>, p &lt; 0.05).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Ecosystem N, P and K cycling function indexes under different thinning intensities. CK, T1, T2, T3, T4 represent 0%, 15%, 30%, 45% and 60% thinning intensity, respectively. T: treat. Different letters indicate significant differences between different thinning intensities. ns, non-significant, ** p &lt; 0.01, *** p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g002.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Relationships between ecosystem nutrient cycling functions and stand characteristics, soil properties and ecosystem component nutrient characteristics</title>
<p>The ecosystem N, P, and K cycling function indexes were significantly negatively correlated with SOC, TN, TP, AN, AP, tree productivity, tree ecosystem level K, and herb ecosystem level N, while there were significant positive correlations between those nutrient cycling function indexes and the shrub and herb productivity, and the herb ecosystem level C:N (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2&#x2013;S4</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, p &lt; 0.05). The ecosystem N and P cycling function indexes were significantly negatively related to soil C:P, N:P ratios and ground litter biomass (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2&#x2013;S4</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, p &lt; 0.05). The tree ecosystem level P had negative correlations with the ecosystem P and K cycling function indexes (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2&#x2013;S4</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, p &lt; 0.05). The ecosystem K cycling function index was positively correlated with the tree ecosystem level C, tree ecosystem level C:N, tree ecosystem level C:P and the herb ecosystem level C:P, but had the opposite effect on the herb ecosystem level P (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2&#x2013;S4</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>, p &lt; 0.05). The optimal predictors for ecosystem N, P, and K cycling function indexes, as identified by the Boruta method, aligned with with Pearson&#x2019;s significantly correlated results (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2&#x2013;S4</bold>
</xref> and <xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A&#x2013;D</bold>
</xref>, p &lt; 0.05).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Correlation between ecosystem N, P and K cycling function indexes and influencing factors, and selection of important predictors for ecosystem N, P and K cycling functions. Z_N, Z_P, Z_K: N, P and K cycling function indexes; WC: water content; BD: soil bulk density; SS and HS: shrub and herb Shannon-Wiener indexes; LB: litter biomass; M_C:N, M_C:P, M_N:P: microbial biomass stoichiometric ratios; P_tree, P_shrub, P_herb, P_litter, P.0.5mm, P.0.5.1mm, P.1.2mm, P.S2mm: tree, shrub, herb, litter, &lt;0.5mm, 0.5-1mm, 1-2mm and &lt;2mm fine root productivity; T_C, T_N, T_P, T_K, S_C, S_N, S_P, S_K, H_C, H_N, H_P, H_K, T_C:N, T_C:P, T_N:P, S_C:N, S_C:P, S_N:P, H_C: N, H_C:P, H_N:P: C, N, P and K concentrations and stoichiometric ratios of trees, shrubs and herbs at the ecosystem level. <bold>(A)</bold>: red indicates a negative correlation and blue indicates a positive correlation; the darker the color and larger the size of the square is, the greater the absolute value of the correlation coefficient. <bold>(B-D)</bold> green and yellow columns represent selected important predictors, and red columns represent unselected factors. *p &lt; 0.05, **p &lt; 0.01, ***p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g003.tif"/>
</fig>
<p>Based on the classification of selected predictors, the VPA analyses indicated that these soil nutrient, litter biomass, plant productivity and plant nutrient collectively explained the majority of variation associated with the ecosystem N, P, and K cycling functions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The soil nutrient, litter biomass, plant productivity and plant nutrient accounted for 67.1%, 37%, 77.2%, 27.5% of the variation of N cycling functions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>), 71.3%, 33.5%, 79.4%, 28.4% of the variation of P cycling functions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>), and 58.3%, 26.6%, 58.8%, 87.5% of the variation of K cycling functions (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>), respectively.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Variation partitioning analysis displaying the effects of soil nutrient, litter biomass, plant productivity and plant nutrient characteristics on ecosystem N, P and K cycling functions. <bold>(A)</bold> N cycling, <bold>(B)</bold> P cycling, <bold>(C)</bold> K cycling.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g004.tif"/>
</fig>
<p>PLS-PM identified direct and indirect effects of forest thinning, plant productivity, litter biomass, soil nutrient and plant nutrient on the ecosystem N, P, and K cycling functions (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>&#x2013;<xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref>). For N, P, and K cycling functions, thinning positively affected the plant productivity (0.84 of the direct effects) and negatively affected litter biomass (-0.76 of the direct effects) (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>-<xref ref-type="fig" rid="f7">
<bold>7A</bold>
</xref>). For N, and P cycling functions, plant productivity further negatively regulated plant nutrient and soil nutrient (-0.51 and -0.53 of the direct effects), and litter biomass positively regulated soil nutrient (0.33 of the direct effects) (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6A</bold>
</xref>). Plant and soil nutrients jointly exerted a negative direct effect on the ecosystem N (-0.28 and -0.74) and P (-0.35 and -0.68) cycling function (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6A</bold>
</xref>). For K cycling function, plant productivity directly positively regulated plant nutrient (0.51) and negatively regulated soil nutrient (-0.64) (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>). And plant nutrient and soil nutrient have a direct positive effect (0.56) and a direct negative effect (-0.52) on the ecosystem K cycling function (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>). Overall, the total positive effects of forest thinning on ecosystem N, P, and K cycling functions were 0.639, 0.626, and 0.585 respectively (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>-<xref ref-type="fig" rid="f7">
<bold>7B</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Partial least squares path analysis showing effects of thinning on ecosystem N cycling function. <bold>(A)</bold> Influence path of variables on N cycling, <bold>(B)</bold> total effects of variables on N cycling, <bold>(C)</bold> weight of the outer model. Red and blue arrows indicate positive and negative flows of causality. The width of the arrows indicates the strength of the path coefficient. Numbers on the arrow indicate significant standardized path coefficients. R<sup>2</sup> indicates the variance of the dependent variable explained by the model. Z_N: N cycling function index; P_tree, P_shrub, and P_herb: tree, shrub and herb productivity; H_N and H_C:N: herb N concentration and C:N ratio at the ecosystem level. * p &lt; 0.05, ** p &lt; 0.01, *** p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Partial least squares path analysis showing effects of thinning on ecosystem P cycling function. <bold>(A)</bold> Influence path of variables on P cycling, <bold>(B)</bold> total effects of variables on P cycling, <bold>(C)</bold> weight of the outer model. Red and blue arrows indicate positive and negative flows of causality. The width of the arrows indicates the strength of the path coefficient. Numbers on the arrow indicate significant standardized path coefficients. R<sup>2</sup> indicates the variance of the dependent variable explained by the model. Z_P: P cycling function index; P_tree, P_shrub, and P_herb: tree, shrub and herb productivity; H_N and H_C:N: herb N concentration and C:N ratio at the ecosystem level. * p &lt; 0.05, ** p &lt; 0.01, *** p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g006.tif"/>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Partial least squares path analysis showing effects of thinning on ecosystem K cycling function. <bold>(A)</bold> Influence path of variables on K cycling, <bold>(B)</bold> total effects of variables on K cycling, <bold>(C)</bold> weight of the outer model. Red and blue arrows indicate positive and negative flows of causality. The width of the arrows indicates the strength of the path coefficient. Numbers on the arrow indicate significant standardized path coefficients. R2 indicates the variance of the dependent variable explained by the model. Z_K: K cycling function index; P_tree, P_shrub, and P_herb: tree, shrub and herb productivity; H_P, H_C:P, T_P, T_K and T_C:P: herb P concentration, herb C:P ratio, tree P concentration, tree K concentration and tree C:P ratio at the ecosystem level. ns: non-significant, ** p &lt; 0.01, *** p &lt; 0.001.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-15-1394112-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Differences in ecosystem N, P, and K cycling characteristics</title>
<p>Nutrient cycling is a key ecosystem process closely related to forest ecosystem structure and function and is also the basis for supporting organic matter production in forest ecosystems (<xref ref-type="bibr" rid="B60">Vrignon-Brenas et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B41">Perron et&#xa0;al., 2021</xref>). Although ecosystem nutrient cycling is crucial to the healthy and stable development of communities, there have been few evaluations of nutrient cycling characteristics at the ecosystem level. In our study, the ecosystem N, P, and K cycling parameters were significantly different from each other, which was consistent with previous research results on the key cycling processes of different nutrient elements (absorption, accumulation, distribution, utilization efficiency, etc.) (<xref ref-type="bibr" rid="B47">Rodr&#xed;guez-Soalleiro et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B50">Schlesinger, 2021</xref>). A possible explanation is that the cycling process of different nutrient elements will be corporately affected by the physical and chemical properties of the elements, biological effects, environmental conditions (<xref ref-type="bibr" rid="B58">Vitousek, 2018</xref>; <xref ref-type="bibr" rid="B19">Johnson and Turner, 2019</xref>; <xref ref-type="bibr" rid="B49">Sayer et&#xa0;al., 2020</xref>), exhibiting different nutrient cycling characteristics. Specifically, the ecosystem&#x2019;s high N return, absorption, and utilization rates, along with low N surplus, indicate severe nitrogen limitation for plant growth in this area, which conformed with our previous results regarding nutrient stoichiometry and nutrient reabsorption in multi-plant organs (<xref ref-type="bibr" rid="B39">Pang et&#xa0;al., 2021b</xref>). Additionally, compared with N and K, the ecosystem&#x2019;s higher P productivity, retention coefficient, and plant nutrient turnover time and lower P cycle coefficient, recycling coefficient, and plant nutrient accumulation coefficient implied that although P productivity is high in this study area, the cycling intensity is the lowest. On the one hand, ecosystem P is mainly derived from the weathering of soil phosphate minerals, which is a relatively slow process (<xref ref-type="bibr" rid="B73">Zhou et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B25">Koester et&#xa0;al., 2021</xref>). On the other hand, ecosystem P cycle also depends on the amount of P returned from plant organisms (<xref ref-type="bibr" rid="B62">Whitehead, 2000</xref>; <xref ref-type="bibr" rid="B34">Mengel and Kirkby, 2012</xref>), but in this study, plant P showed higher retention and higher turnover time, which also led to lower ecosystem P cycling intensity. As for the N cycle, ecosystem N sources are diversified. In addition to soil N nutrient mineralization and plant return, N can also be input through atmospheric nitrogen deposition and biological nitrogen fixation, so it has a higher cycling intensity relative to P (<xref ref-type="bibr" rid="B61">Wang et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B36">Nevison et&#xa0;al., 2022</xref>). Unlike N and P, which often form complex molecular structures, K mainly exists as soluble ions. These ions are more easily leached, resulting in a faster nutrient cycle (<xref ref-type="bibr" rid="B43">Qiao et&#xa0;al., 2023</xref>). Moreover, in order to maintain the K balance, plants in the forest ecosystem have a &#x201c;pumping&#x201d; mechanism, which further promotes the K circulation rate in the ecosystem (<xref ref-type="bibr" rid="B48">Sardans and Pe&#xf1;uelas, 2015</xref>; <xref ref-type="bibr" rid="B50">Schlesinger, 2021</xref>). Overall, ecosystem N, P, and K cycles exhibited heterogeneous patterns, supporting our hypothesis 1.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Ecosystem N, P and K cycling functions following thinning</title>
<p>To maintain the forest ecosystem sustainable development, in addition to focusing on forest productivity sustainability, the importance of nutrient sustainability cannot be ignored (<xref ref-type="bibr" rid="B13">Haberl et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B47">Rodr&#xed;guez-Soalleiro et&#xa0;al., 2018</xref>). It is well-known that the whole-tree harvesting method permanently removes a large amount of wood and plant residues from the nutrient cycling system of plant growth, and this high nutrient output rate has a negative impact on the ecosystem nutrient budget (<xref ref-type="bibr" rid="B53">Smolander et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B55">Thiffault et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B39">Pang et&#xa0;al., 2021b</xref>). Therefore, understanding the effects of whole-tree harvesting on the forest ecosystem nutrient cycling characteristics and functions at the ecosystem level is of great significance for explaining the forest ecosystem nutrient balance mechanism after thinning and formulating scientific forest management strategies (<xref ref-type="bibr" rid="B20">Jordan, 1985</xref>; <xref ref-type="bibr" rid="B40">Pei et&#xa0;al., 2017</xref>). Contrary to our initial hypothesis 2, whole-tree harvesting can significantly enhance the ecosystem N, P, and K cycling functions. The results of this study were inconsistent with previous researchers who suggested that whole-tree harvesting aggravated nutrient loss and had a negative impact on nutrient cycling in forest ecosystems (<xref ref-type="bibr" rid="B21">Kaarakka et&#xa0;al., 2014</xref>). From the details, there was no difference in the nutrient concentration and returned biomass of above-ground litter and underground fine roots under different thinning intensities (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figures S8</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S17</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S19</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Table S3</bold>
</xref>), and the nutrient input from atmospheric precipitation was also consistent. So, the total nutrient return amounts and nutrient productivity did not respond to thinning treatments, and had no effects on the ecosystem nutrient cycling functions (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). However, N, P, and K cycle coefficients, recycling coefficients, surplus rates, and plant nutrient accumulation coefficients significantly increased with the increasing thinning intensity, while N, P, and K absorption amounts, retention coefficients, and plant nutrient turnover time significantly decreased (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). Collectively, these results proved that the N, P and K cycling intensity in the ecosystem increased following thinning, promoting the improvement of N, P and K cycling functions at the ecosystem level. Simultaneously, there are coupling effects and mutual influences in the multi-nutrient element cycling process (<xref ref-type="bibr" rid="B70">Zhang et&#xa0;al., 2019</xref>). In this study area, due to N limitation, the ecosystem N absorption coefficient and utilization coefficient increased significantly with the increased thinning intensity, and the N surplus amounts showed a significantly low value at T2, indicating that the ecosystem N utilization and consumption increased significantly, the N cycling speed was accelerated, and which may also have led to the improvement of the ecosystem P and K cycling functions. Furthermore, previous studies on the effects of whole-tree harvesting on nutrient cycling in forest ecosystems mostly focused on the nutrient budget of plant or soil pools (the single ecosystem component) (<xref ref-type="bibr" rid="B64">Yan et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B39">Pang et&#xa0;al., 2021b</xref>), and lacked understanding of the nutrient cycling function at the ecosystem level. In this study, the ecosystem function index was employed to systematically extract comprehensive information regarding ecosystem nutrient cycling characteristics, providing in a more representative assessment of the impact of whole-tree harvesting on nutrient cycling functions at the ecosystem level.</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Control factors of N, P and K cycling functions following thinning</title>
<p>Nutrient cycling in forest ecosystems involves complex processes driven by various influencing factors (<xref ref-type="bibr" rid="B18">Johnson and Lindberg, 2013</xref>; <xref ref-type="bibr" rid="B58">Vitousek, 2018</xref>). Whole-tree harvesting drastically changes the biotic and abiotic factors in the forest ecosystem, thereby most likely significantly affecting the ecosystem nutrient cycling function (<xref ref-type="bibr" rid="B33">McDaniel et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B51">Sicard et&#xa0;al., 2016</xref>). In the present study, PLS-PM revealed that whole-tree harvesting mainly promoted ecosystem N and P cycling functions through two pathways: (1) whole-tree harvesting regulated litter biomass and affected soil nutrient characteristics, then regulating the ecosystem N and P cycling functions; (2) whole-tree harvesting adjusted ecosystem plant productivity, influenced both plant and soil nutrient characteristics, and then adjusting ecosystem N and P cycling functions. First of all, early studies pointed out that litter nutrient return is an important source of soil nutrients (<xref ref-type="bibr" rid="B4">Chao et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B23">Keller and Phillips, 2019</xref>), and litter biomass has a positive impact on soil nutrients (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>, <xref ref-type="fig" rid="f6">
<bold>6</bold>
</xref>). Our results showed that whole-tree harvesting significantly reduced litter biomass return and had a negative impact on soil nutrients (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S3</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S2</bold>
</xref>, <xref ref-type="supplementary-material" rid="SM1">
<bold>S3</bold>
</xref>), in agreement with previous results (<xref ref-type="bibr" rid="B8">Clarke et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B52">Smith et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B59">Vos et&#xa0;al., 2023</xref>). Secondly, the ecosystem plant productivity represents the ability of plant systems to compete and consume nutrients (<xref ref-type="bibr" rid="B30">Liu, 2009</xref>). We found that although the productivity of the tree layer was significantly reduced by whole-tree harvesting, the productivity of the understory vegetation increased rapidly after thinning (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Figure S6</bold>
</xref>). At the same time, the VPA analysis results showed that the ecosystem plant productivity was the main controlling factor of the ecosystem N and P cycling functions while the PLS-PM path coefficient showed that the whole-tree harvesting had a significant positive effect on the ecosystem plant productivity. All these results indicated that the productivity of understory vegetation after thinning played a more significant role in regulating the ecosystem N and P cycling functions and confirmed findings from previous studies that thinning promotes understory vegetation growth, with its productivity making an essential contribution to ecosystem nutrient reserves and nutrient cycling (<xref ref-type="bibr" rid="B32">Ma et&#xa0;al., 2007</xref>). Therefore, when whole-tree harvesting caused a large amount of nutrient loss, the rapidly increased understory vegetation productivity intensified nutrient consumption and competition, having negative effects on plant and soil nutrient characteristics (<xref ref-type="bibr" rid="B10">Elser et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B2">Bauhus et&#xa0;al., 2001</xref>). Ultimately, the degradation of plant and soil nutrient characteristics had direct negative impacts on the ecosystem N and P cycling functions, supporting the previous conclusion that intensity disturbance negatively affects the nutrient budget and nutrient cycling function (<xref ref-type="bibr" rid="B21">Kaarakka et&#xa0;al., 2014</xref>).</p>
<p>Compared with the ecosystem N and P cycling functions, PLS-PM results showed that whole-tree harvesting mainly affected the plant and soil nutrient characteristics by adjusting the ecosystem plant productivity, thereby enhancing the ecosystem K cycling function. Moreover, within the regulation pathway, it was noteworthy that the positive effect of ecosystem plant productivity on plant nutrient characteristics, as well as the positive effect of plant nutrient characteristics on K cycling function, differed from the effects of plant productivity on N and P cycling functions, where it exerts an indirect positive effect through its negative impact on plant nutrient characteristics. It is well known that removing trees through thinning can reduce competition pressure for nutrient resources in plant communities (<xref ref-type="bibr" rid="B15">Hertel et&#xa0;al., 2009</xref>). Relative to the important regulatory role of herb nutrients (plant nutrient characteristics) on the ecosystem N and P cycling functions, tree nutrients were included in the plant nutrient characteristics in the K cycling function PLS-PM model (<xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5</bold>
</xref>-<xref ref-type="fig" rid="f7">
<bold>7C</bold>
</xref>). Therefore, in the K-cycling process, the direct positive effects of ecosystem plant productivity on plant nutrient characteristics (herbs and trees) may be due to the fact that the nutrient competition pressure released by thinning exceeded the nutrient consumption and competition pressure caused by increased understory vegetation productivity, thus inducing the positive effects of ecosystem plant productivity on plant nutrient characteristics. Additionally, the differential regulation patterns of N, P, and K cycling functions may depend on synergistic effects of multiple factors not monitored in this study, such as climate drivers, elemental heterogeneity or biocatalytic effects (<xref ref-type="bibr" rid="B58">Vitousek, 2018</xref>; <xref ref-type="bibr" rid="B19">Johnson and Turner, 2019</xref>; <xref ref-type="bibr" rid="B49">Sayer et&#xa0;al., 2020</xref>). And unexplained parts of the VPA and PLS-PM models require further investigation (<xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7</bold>
</xref>). Furthermore, the direct positive effect of plant nutrient characteristics on K cycling function was consistent with the positive correlation between plant nutrient stoichiometric ratios and K cycling function index (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A</bold>
</xref>, <xref ref-type="fig" rid="f7">
<bold>7A</bold>
</xref>), suggesting the importance of plant nutrient stoichiometric ratios in the ecosystem K cycling function regulation. Similar findings were also reported elsewhere in studies of forest or non-forest ecosystem nutrient cycling (<xref ref-type="bibr" rid="B56">Tripler et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B5">Chen B. et al., 2023</xref>). Overall, whole-tree harvesting showed inconsistent regulatory mechanisms for N, P and K cycling functions, supporting our hypothesis 3.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>Our study proved that the ecosystem N, P, and K cycles had heterogeneous cycling patterns. Whole-tree harvesting significantly improved the ecosystem N, P and K cycling functions. We found two regulatory paths for N and P cycling functions: (a) whole-tree harvesting regulated litter biomass and affected soil nutrient characteristics, then regulating the ecosystem N and P cycling functions, (b) whole-tree harvesting adjusted plant productivity, influenced both plant and soil nutrient characteristics, and then thereby adjusting ecosystem N and P cycling functions. Contrastively, whole-tree harvesting mainly affected the plant and soil nutrient characteristics by adjusting the ecosystem plant productivity, and promoting the ecosystem K cycling function. N and P cycling functions were mainly regulated by understory plant productivity while tree and herb nutrient characteristics were key driving factors for K cycling functions. These results indicate that the ecosystem N, P, and K cycling functions are driven by different mechanisms. We believed that this work could advance our understanding of the effects of forest management on the forest ecosystem nutrient cycle.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Material</bold>
</xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>YP: Writing &#x2013; review &amp; editing, Writing &#x2013; original draft, Visualization, Validation, Supervision, Software, Resources, Project administration, Methodology, Investigation, Funding acquisition, Formal analysis, Data curation, Conceptualization. JT: Writing &#x2013; review &amp; editing, Investigation. QL: Writing &#x2013; review &amp; editing. DW: Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was supported by Natural Science Foundation of Hebei (No. C2023204170); and the National Natural Science Foundation of China (No. 32401557 and No. 32271861).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We sincerely thank Xinping Zhang for drawing the map.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<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="s10" 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 id="s11" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fpls.2024.1394112/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpls.2024.1394112/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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