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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1477459</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1477459</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effect of plant spacing on the soil properties and fertility of <italic>Pinus sylvestris</italic> var. <italic>mongolica</italic> plantations in sandy land of the agro-pastoral ecotone in northern China</article-title>
<alt-title alt-title-type="left-running-head">Guo et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1477459">10.3389/fenvs.2025.1477459</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Guo</surname>
<given-names>Xinyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<uri xlink:href="https://loop.frontiersin.org/people/2807884/overview"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Guang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Yunxia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Qiao</surname>
<given-names>Shi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Haoyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Shuai</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Key Laboratory of Desert Ecosystem Conservation and Restoration</institution>, <institution>State Forestry and Grassland Administration of China</institution>, <institution>College of Desert Science and Engineering</institution>, <institution>Inner Mongolia Agricultural University</institution>, <addr-line>Hohhot</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Hohhot Natural Resources Syndrome Survey Center</institution>, <institution>China Geological Survey</institution>, <addr-line>Hohhot</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>National Energy Pingzhuang Coal Industry Mengdong Energy Holding Co., Ltd.</institution>, <addr-line>Xilinhot</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>National Mine Safety Administration Inner Mongolia Branch</institution>, <addr-line>Hohhot</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1459498/overview">Krishnaswamy Jayachandran</ext-link>, Florida International University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/802846/overview">Dong Wang</ext-link>, Henan University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2301816/overview">Jorge Mongil-Manso</ext-link>, Universidad Cat&#xf3;lica de &#xc1;vila, Spain</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Guang Yang, <email>yg@imau.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>02</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1477459</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>01</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Guo, Yang, Ma, Qiao, Chen, Liu and Ma.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Guo, Yang, Ma, Qiao, Chen, Liu and Ma</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>Duolun County in Inner Mongolia, a typical agro-pastoral ecotone, serves as an important ecological barrier in northern China. To combat windblown sand and land degradation, the government has established extensive <italic>P. sylvestris</italic> var. <italic>mongolica</italic> Litv. plantations. This study investigated the effects of three afforestation modes (2&#xa0;m &#xd7; 6&#xa0;m, 2&#xa0;m &#xd7; 3&#xa0;m, and 1&#xa0;m &#xd7; 1&#xa0;m), which were used as treatments, and unafforested bare sandy land as a control, on soil physicochemical properties and soil fertility. The results showed that row spacing significantly affected soil characteristics and soil fertility. With an increase in plant row spacing, the content of coarse particles decreased, while fine particle content, soil water and nutrient levels, and soil porosity increased. Additionally, the bulk density of the soil decreased, particularly in the topsoil. However, planting <italic>P. sylvestris</italic> var. <italic>mongolica</italic> in sandy land increased the soil&#x2019;s electrical conductivity, which declined with wider spacing. Soil fertility of different types of plantation forests was evaluated using the soil quality index (SQI) and grey relation analysis (GRA) combined with the minimum dataset (MDS), and the results showed that: 2&#xa0;m &#xd7; 6&#xa0;m &#x3e; 2&#xa0;m &#xd7; 3&#xa0;m &#x3e; 1&#xa0;m &#xd7; 1&#xa0;m &#x3e; bare sandy land. The results of the two evaluation systems were consistent and their TDS (total dataset) and the MDS in the two evaluation systems were significantly positively correlated (SQI: <italic>P</italic> &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.9384). GRA: <italic>P</italic> &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.8929). Compared with bare sand, the soil bulk density and pH of 2&#xa0;m &#xd7; 6&#xa0;m plantation was 13.72% and 4.02% lower; the soil water content and total porosity were 49.75% and 27.88% higher; the soil organic matter, total N, P, and K were 250.99%, 136%, 100%, and 19.53% higher; the available N, P, and K were 29.95%, 94.3%, and 12.71% higher; and the clay, silt and very fine sand contents were 242.55%, 343.1%, and 17.21% higher, respectively. These findings indicate that the development of soil characteristics and fertility accumulation are not ideal when the planting density is larger, among the above three afforestation modes, 2&#xa0;m &#xd7; 6&#xa0;m plantation forests can better improve the soil characteristics and fertility quality of sandy soils.</p>
</abstract>
<kwd-group>
<kwd>Hunshandak sandy land</kwd>
<kwd>minimum data set</kwd>
<kwd>grey relation analysis</kwd>
<kwd>soil quality index</kwd>
<kwd>soil fertility quality</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Soil Processes</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Land desertification has emerged as a global phenomenon that threatens human livelihoods and activities. It is no longer merely an ecological or environmental problem; rather, it has evolved into an important economic and social problem (<xref ref-type="bibr" rid="B37">Qiu et al., 2024</xref>). With the deterioration of the ecological environment, the importance of vegetation communities has become increasingly recognized; to cope with ecological problems such as soil erosion and desertification, many countries have developed plantations to resist these natural disasters (<xref ref-type="bibr" rid="B30">Mongil-Manso et al., 2022</xref>; <xref ref-type="bibr" rid="B42">Sun et al., 2023</xref>). China faces one of the most severe land desertification problems in the world and is also a leader in desertification research and control. Since the 1970s, the government has initiated large-scale forestry projects such as the well-known &#x201c;Three Norths&#x201d; shelterbelt project (<xref ref-type="bibr" rid="B14">Guo et al., 2024</xref>).</p>
<p>The planting method of sand-fixing shelterbelts in China is usually a row belt with different spacing. Variation in planting spacing results in differences in plant density and, consequently, differences in stand structure (<xref ref-type="bibr" rid="B51">Yan et al., 2015</xref>). Factors affecting the growth of forest trees include site conditions, planting time, and planting density, with the latter being the most controllable (<xref ref-type="bibr" rid="B41">Smith and Brennan, 2006</xref>). Research has shown that different densities or spacing of plantations not only significantly impact soil characteristics and vegetation growth (<xref ref-type="bibr" rid="B27">Mallik et al., 2008</xref>; <xref ref-type="bibr" rid="B36">Prasad et al., 2010</xref>; <xref ref-type="bibr" rid="B5">Benomar et al., 2013</xref>; <xref ref-type="bibr" rid="B40">Sirohi and Bangarwa, 2017</xref>; <xref ref-type="bibr" rid="B11">Farooq et al., 2019</xref>) but also affect wood quality and yield (<xref ref-type="bibr" rid="B20">Kang et al., 2004</xref>; <xref ref-type="bibr" rid="B6">Cassidy et al., 2013</xref>). In recent years, the influence of plantations on soil quality has become a focal research topic, including the effects of forest age (<xref ref-type="bibr" rid="B18">Jin et al., 2008</xref>; <xref ref-type="bibr" rid="B12">Fuss et al., 2019</xref>; <xref ref-type="bibr" rid="B14">Guo et al., 2024</xref>), tree species (<xref ref-type="bibr" rid="B4">Augusto et al., 2002</xref>; <xref ref-type="bibr" rid="B52">Yang et al., 2021</xref>), and site conditions (<xref ref-type="bibr" rid="B57">Zhang et al., 2018</xref>). Soil quality is the quantitative analysis of the total properties of the soil, which is usually expressed through the biological and physicochemical properties of the soil (<xref ref-type="bibr" rid="B14">Guo et al., 2024</xref>).</p>
<p>The agro-pastoral ecotone is a semi-arid ecological transition zone connecting the agricultural areas of eastern China with the pastoral grassland of the west. This region is not only marginal for agricultural production but also ecologically fragile (<xref ref-type="bibr" rid="B17">Huang et al., 2007</xref>). Due to the combined effects of natural conditions and human activities, land degradation has emerged as the most pressing environmental problem in the agro-pastoral ecotone. In many areas, this degradation is characterized by the simultaneous occurrence of sandy desertification and soil erosion, resulting in soil barrenness, desertification, and aridification (<xref ref-type="bibr" rid="B25">Liu et al., 2018</xref>; <xref ref-type="bibr" rid="B54">Yang et al., 2020</xref>; <xref ref-type="bibr" rid="B49">Wuyun et al., 2022</xref>). The study area was located within a typical agricultural and pastoral zone that includes one of China&#x2019;s four major sandy regions, the Hunsandak Sandy Land, which is a key area for the Three-North Sheltering Forest Construction Project. <italic>Pinus sylvestris</italic> var. <italic>Mongolica</italic> Litv. is the most representative plantation species in this region. Numerous shelter forests of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> with varying tree densities and row spacings have been established for sand fixation. Long-term community succession has altered stand growth, Some of these <italic>P. sylvestris</italic> var. <italic>mongolica</italic> plantations showed declines, yellowing, and tree mortality, and the performance of the plantations varied at different plant spacing.</p>
<p>As the foundation for plant growth and survival, soil plays a crucial role in the growth of forest trees. Although there are many relevant studies on plantations and soils mentioned above, there are few studies examining soil fertility across various stand structures, particularly within the agro-pastoral ecotone. Most researchers have relied on a single evaluation method to examine the soil quality of plantations, leading to a general lack of verification of results. Therefore, in order to elucidate the differences in soil properties of plantation forests with different spacing. We took three plantations of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> with different spacing in the sandy agro-pastoral ecotones of China as the research object. We evaluated the quality of soil fertility by two methods (soil quality index and grey relational analysis) to determine the existing afforestation modes suitable for soil restoration in the study area. We hypothesized that planting <italic>P. sylvestris</italic> var. <italic>mongolica</italic> in the sandy land within the agro-pastoral ecotone would positively impact soil development and restoration and that this impact would be variable across soil depths. We further hypothesized that plant spacing would significantly influence soil properties, with appropriate spacing effectively improving soil fertility. The results of this study can serve as a reference for the construction and management of plantations in agro-pastoral ecotones and other fragile ecological zones.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Description of the study area</title>
<p>The study area (<xref ref-type="fig" rid="F1">Figure 1</xref>) is located in the Xilin Gol League of China, at the southern edge of the Inner Mongolia Plateau, near the northern foothills of the eastern end of the Yinshan Mountains and along the southern edge of the Hunshandak Sandy Land. Duolun County, situated 180&#xa0;km from Beijing, exemplifies a typical agro-pastoral ecotone in northern China. This region has a continental climate that transitions from temperate semi-arid to semi-humid (<xref ref-type="bibr" rid="B50">Yan et al., 2012</xref>). The selected planting area of <italic>P</italic>. <italic>sylvestris</italic> var. <italic>mongolica</italic> was located within the Hunshandak Sandy Land in Duolun County, with geographical coordinates of 116&#xb0;45&#x2032;E, 42&#xb0;15&#x2032;N, at an altitude of 1,261&#xa0;m. This area experiences windblown sand in the spring and autumn months, with an average annual wind speed of 3.6&#xa0;m/s and an average annual precipitation of 385&#xa0;mm. The frost-free period is about 100&#xa0;days, with an average annual sunshine duration of 3,000&#xa0;h and an average annual temperature of 1.6&#xb0;C. <italic>P. sylvestris</italic> var. <italic>mongolica</italic> is a deep-rooted species, forest growth faster, light-loving, adaptable, can adapt to more arid sandy and gravelly sandy soil areas, therefore often used as the Three-North regions of the shelter forests and sand afforestation of the main tree species. In May 2000, the state launched the Beijing-Tianjin sand source control project, aimed at combating desertification in Duolun County through the establishment of plantations in the Hunshandak Sandy Land. Subsequently, Duolun County implemented a series of forestry ecological construction projects based on millions of acres of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> plantations (<xref ref-type="bibr" rid="B34">Office of the People&#x2019;s Government of Duolun County, 2024</xref>). The study plot, was initially bare sand before afforestation, is now stabilized by vegetation. The main soil type in this region is aeolian sandy soil, with the zonal plant species including <italic>Leymus chinensis</italic> (Trin. ex Bunge) Tzvelev, <italic>Cleistogenes squarrosa</italic> (Trin.) Keng, and <italic>Agropyron cristatum</italic> (L.) Gaertn. (<xref ref-type="bibr" rid="B53">Yang et al., 2013</xref>; <xref ref-type="bibr" rid="B9">Dai et al., 2022</xref>; <xref ref-type="bibr" rid="B24">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B58">Zongfan et al., 2022</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Maps of the study area showing the locations of <bold>(A)</bold> Xilingol League in the Inner Mongolia Autonomous Region, <bold>(B)</bold> Duolun County within the Xilingol League, and <bold>(C)</bold> A digital elevation map of Duolun County.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Sample plot setting</title>
<p>A field survey of a <italic>P. sylvestris</italic> var. <italic>mongolica</italic> botanical garden in the study area was conducted in August 2023. The survey identified three of the most widely used afforestation models as the research objects, each of which was planted in 2001. Before the seedlings were planted, the hole preparation should be carried out in advance, and the size of the planting hole of the plantation in Duolun County is generally 60&#xa0;cm &#xd7; 60&#xa0;cm &#xd7; 50&#xa0;cm. The planting areas were all located on sandy land, with consistent site conditions; the main differences among them was the plant and row spacing. We used Type I, Type II, and Type III to represent the three different models and selected unafforested bare sandy land as the control plot (CK) (<xref ref-type="fig" rid="F2">Figure 2</xref>). Three replicate plots, each measuring 15&#xa0;m &#xd7; 15&#xa0;m, were set up in each of the three afforestation types. The basic information for the sample plots is listed in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Study site photos.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Basic information on sample plots.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Plot type</th>
<th align="center">Tree species</th>
<th align="center">Plant spacing &#xd7; row spacing (m &#xd7; m)</th>
<th align="center">Sandy land types</th>
<th align="center">Herbaceous species</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Type I</td>
<td rowspan="3" align="center">
<italic>Pinus sylvestris</italic> var. <italic>Mongolica</italic> Litv</td>
<td align="center">2 &#xd7; 6</td>
<td rowspan="3" align="center">Fixed sandy land</td>
<td rowspan="3" align="center">
<italic>Cleistogenes squarrosa</italic> (Trin.) Keng<italic>, Setaria viridis</italic> (L.) P. Beauv.<italic>, Leymus chinensis</italic> (Trin. ex Bunge) Tzvelev<italic>, Artemisia desertorum</italic> Spreng.<italic>, Corispermum hyssopifoliu</italic> L.<italic>, Agropyron cristatum</italic> (L.) Gaertn.<italic>, Thalictrum aquilegiifolium</italic> var.&#xa0;<italic>sibiricum</italic>&#xa0;Linnaeus<italic>, Chenopodium acuminatum</italic> Willd.<italic>, Artemisia sieversiana</italic> Ehrhart ex Willd</td>
</tr>
<tr>
<td align="center">Type II</td>
<td align="center">2 &#xd7; 3</td>
</tr>
<tr>
<td align="center">Type III</td>
<td align="center">1 &#xd7; 1</td>
</tr>
<tr>
<td align="center">CK</td>
<td align="center">None</td>
<td align="center">__</td>
<td align="center">Bare sandy land</td>
<td align="center">
<italic>S. viridis, C. squarrosa, A. desertorum, A. cristatum</italic>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Soil sample collection and analysis</title>
<p>Three soil sampling points were evenly distributed along the diagonals of each sample plot, and 40&#xa0;cm soil profiles were obtained at these sampling points. Undisturbed soil was collected in two layers from the bottom to the top at depths of 0&#x2013;20&#xa0;cm and 20&#x2013;40&#xa0;cm, respectively. A total of 72 soil samples were collected in August 2023. The soil samples were used to determine soil water content, bulk density, and porosity, collected using a 100&#xa0;cm<sup>3</sup> cutting ring. For soil particle size, pH, conductivity, nutrient analysis, and other indicators, plant residues removed were removed from the samples, which were then packed into sealed bags and brought back to the laboratory, where they were air-dried in a light-protected environment for the analysis.</p>
<p>The soil moisture content, bulk density, and porosity were determined by drying and weighing, according to the soil environmental protection standards issued by the PRC (<xref ref-type="bibr" rid="B32">National Forestry and Grassland Administration, 1999</xref>). The soil pH was determined by the potentiometric method, and the soil conductivity was determined by the electrode method. The combustion oxidation-titration method was used to measure the soil&#x2019;s organic matter content, and the Kjeldahl method was used to determine the soil total nitrogen content. The total potassium content of the soil was determined by acid-solubilization-flame photometry. The available nitrogen content was determined by the alkaline hydrolysis-diffusion method, the available phosphorus content was determined by sodium hydrogen carbonate solution-Mo-Sb anti-spectrophotometric method, and the available potassium content was measured using a CH<sub>3</sub>COONH<sub>4</sub> extraction-flame photometer. We used an Analysette22 MicroTecPlus laser particle size analyzer (Fritsch GmbH, Idar-Oberstein, Germany) to determine the volume fraction of soil particle sizes acr the different types of plots.</p>
</sec>
<sec id="s2-4">
<title>2.4 Soil fractal dimension</title>
<p>The soil was divided into seven categories based on the United States Department of Agriculture (USDA) soil texture grading standards: clay (r &#x3c; 0.02&#xa0;mm), silt (0.02&#xa0;mm &#x3c; r &#x3c; 0.05&#xa0;mm), very fine sand (0.05&#xa0;mm &#x3c; r &#x3c; 0.1&#xa0;mm), fine sand (0.1&#xa0;mm &#x3c; r &#x3c; 0.25&#xa0;mm), medium sand (0.25&#xa0;mm &#x3c; r &#x3c; 0.5&#xa0;mm), coarse sand (0.5&#xa0;mm &#x3c; r &#x3c; 1&#xa0;mm), and very coarse sand (1&#xa0;mm &#x3c; r &#x3c; 2&#xa0;mm). Based on the particle size volume data obtained from the laser particle size analyzer, the volume fractal dimension was obtained using the following formula (<xref ref-type="bibr" rid="B43">Tyler and Wheatcraft, 1989</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mfrac>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Taking the logarithms of both sides of <xref ref-type="disp-formula" rid="e1">Equation 1</xref> provides the formula for calculating the fractal dimension of the soil:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="italic">lg</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="italic">lg</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="italic">max</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>V</italic> is the total volume of soil smaller than the particle size <italic>R</italic> (%); <italic>VT</italic> is the total volume of soil measured (%); <italic>R</italic> is the average value of the particle size between the two sieve particle size classes <italic>R</italic>
<sub>
<italic>i</italic>
</sub> and <italic>R</italic>
<sub>
<italic>i &#x2b;1</italic>
</sub> (mm); <italic>R</italic>
<sub>
<italic>max</italic>
</sub> is the largest particle size in the soil particle size grading, where the largest particle size of the soil in this study was 2&#xa0;mm; and <italic>D</italic> is the volumetric fractal dimension of the soil particles, where the left and right sides of <xref ref-type="disp-formula" rid="e2">Equation 2</xref> are the longitudinal and transverse coordinates, respectively, of the fitted linear regression equation. The difference in the linear slope value is the soil fractal dimension <italic>D</italic>.</p>
</sec>
<sec id="s2-5">
<title>2.5 Comprehensive evaluation of soil fertility</title>
<p>Three spacing patterns of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> planted in 2001 (2&#xa0;m &#xd7; 6&#xa0;m, 2&#xa0;m &#xd7; 3&#xa0;m, and 1&#xa0;m &#xd7; 1&#xa0;m) in the sandy land of the agro-pastoral ecotone were used to analyze changes in forest soil characteristics. We used two methods, the soil quality index method and the grey correlation degree, to evaluate the soil fertility.</p>
<sec id="s2-5-1">
<title>2.5.1 Determination of the membership degree of the evaluation indices</title>
<p>To solve the problem of differing dimensions among evaluation indicators, we normalized the indicators through the membership degree function. The membership function used in this study was expressed as <xref ref-type="disp-formula" rid="e3">Equation 3</xref> (<xref ref-type="bibr" rid="B8">Cherubin et al., 2016</xref>; <xref ref-type="bibr" rid="B16">Hemati et al., 2020</xref>):<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="italic">x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mi>B</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>A</italic> is the maximum membership degree of the evaluation index with the value 1; <italic>X</italic>
<sub>
<italic>i</italic>
</sub> is the value of each evaluation index; <italic>X</italic>
<sub>
<italic>0</italic>
</sub> is the average value of each evaluation index; <italic>B</italic> is the slope of the equation, where the value &#x2212;2.5 indicates that the index has a positive effect on soil quality, and 2.5 means that the index has a negative effect on soil quality.</p>
</sec>
<sec id="s2-5-2">
<title>2.5.2 Construction of the minimum data set</title>
<p>In this study, 15 physical and chemical property indices related to soil fertility were selected to establish the dataset, and a principal component analysis (PCA) was used to determine the minimum dataset by combining the Norm values (comprehensive loading values) with Pearson correlation analysis. To avoid redundancy between indicators, only those with higher factor loadings and low correlations were retained in the minimum dataset (<xref ref-type="bibr" rid="B21">Larson and Pierce, 1994</xref>; <xref ref-type="bibr" rid="B14">Guo et al., 2024</xref>). The Norm values were calculated as <xref ref-type="disp-formula" rid="e4">Equation 4</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mtext mathvariant="italic">ia</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="italic">a</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:msubsup>
<mml:mi>u</mml:mi>
<mml:mtext mathvariant="italic">ia</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi mathvariant="italic">a</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>N</italic>
<sub>
<italic>ia</italic>
</sub> is the comprehensive factor load of index i in the principal component a; <italic>u</italic>
<sub>
<italic>ia</italic>
</sub> and <italic>&#x3bb;</italic>
<sub>
<italic>a</italic>
</sub> are the factor load values and corresponding eigenvalues of index i in principal component a.</p>
</sec>
<sec id="s2-5-3">
<title>2.5.3 Soil quality index (SQI) method</title>
<p>PCA was performed on the standardized evaluation indices to calculate the variance contribution and determine the weight of each index. The weighted summation index method was then used to calculate the soil fertility quality. The specific mathematical model was as <xref ref-type="disp-formula" rid="e5">Equation 5</xref> (<xref ref-type="bibr" rid="B46">Vasu et al., 2016</xref>; <xref ref-type="bibr" rid="B35">Paul et al., 2020</xref>):<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>Q</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="italic">n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi mathvariant="italic">j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where n is the total number of soil indicators, and <italic>K</italic>
<sub>
<italic>j</italic>
</sub> and <italic>S</italic>
<sub>
<italic>j</italic>
</sub> are the weights and membership values of the <italic>j</italic>th soil index, respectively.</p>
</sec>
<sec id="s2-5-4">
<title>2.5.4 Grey relation analysis</title>
<p>Grey system theory was introduced by Professor Deng Julong of Huazhong University of Science and Technology in China (<xref ref-type="bibr" rid="B19">Julong, 1989</xref>). Grey relation analysis is an important part of grey system theory. The principle behind it is that when the geometry shapes of curves formed by several statistical series are similar, i.e., there similar trends in the curves, the correlation is high. The proximity of the evaluation object to the ideal object is represented by the association order. This method is often used to compare and rank the evaluation objects, and the better the evaluation object, the closer it is to the ideal sequence (<xref ref-type="bibr" rid="B23">Liu and Forrest, 2010</xref>; <xref ref-type="bibr" rid="B7">Chen, 2023</xref>). The steps of grey relation analysis are as <xref ref-type="disp-formula" rid="e6">Equations 6</xref>&#x2013;<xref ref-type="disp-formula" rid="e10">10</xref>:<list list-type="simple">
<list-item>
<p>(1) Establish the evaluation object sequence and the ideal sequence.</p>
<p>The ideal object order is:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>The sequence of evaluation objects is as follows:<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>.</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where p &#x3d; 1, 2, &#x2026; , m.</p>
</list-item>
<list-item>
<p>(2) The grey relation factor is calculated as<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3be;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">min</mml:mi>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="" separators="&#x7c;">
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2061;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">max</mml:mi>
<mml:mi>h</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="&#x7c;">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <italic>&#x2502;X</italic>
<sub>
<italic>t</italic>
</sub>
<italic>(h)-X</italic>
<sub>
<italic>p</italic>
</sub>
<italic>(h)&#x2502;</italic> represents the absolute difference between data sequences X<sub>t</sub> and X<sub>p</sub> at a particular measurement point h. The term <italic>min</italic>
<sub>
<italic>p</italic>
</sub> <italic>min</italic>
<sub>
<italic>h</italic>
</sub>
<italic>&#x2502;X</italic>
<sub>
<italic>t</italic>
</sub>
<italic>(h)-X</italic>
<sub>
<italic>p</italic>
</sub>
<italic>(h)&#x2502;</italic> represents the minimum absolute difference corresponding to factor p &#x3d; 1,2, &#x2026; ,m at the same point h &#x3d; 1,2, &#x2026; , which is called the second-order minimum difference; <italic>max</italic>
<sub>
<italic>p</italic>
</sub> <italic>max</italic>
<sub>
<italic>h</italic>
</sub>
<italic>&#x2502;X</italic>
<sub>
<italic>0</italic>
</sub>
<italic>(h)-X</italic>
<sub>
<italic>p</italic>
</sub>
<italic>(h)&#x2502;</italic> represents the second-order maximum difference, and &#x3c1; is a resolution coefficient with a value between 0 and 1 that is usually set to 0.5.</p>
</list-item>
<list-item>
<p>(3) Grey relevance is determined as follows:</p>
</list-item>
</list>
<disp-formula id="e9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi mathvariant="italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">h</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3be;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="italic">h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi mathvariant="italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="italic">h</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3be;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="italic">h</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi mathvariant="italic">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>Here, <italic>&#x3b3;</italic>
<sub>
<italic>p</italic>
</sub> is the equal weight relevance; n is the number of evaluation indicators determined. <italic>R</italic>
<sub>
<italic>p</italic>
</sub> is the weighted relevance, and <italic>K</italic>
<sub>
<italic>p</italic>
</sub> is the weight of the soil index.</p>
</sec>
</sec>
<sec id="s2-6">
<title>2.6 Data processing and analysis</title>
<p>We used one-way ANOVA and LSD multiple comparisons to determine whether there were statistically significant differences in soil physicochemical properties across plantations with different cropping patterns. The correlations between soil properties and vegetation characteristics were analyzed using Pearson correlation. PCA was used to determine the index weights of soil quality, which were then employed in the index method to evaluate soil fertility. The reliability of the minimum dataset was verified by linear regression analysis. All data analyses were performed using SPSS 26.0 software, with statistical significance defined as <italic>P</italic> &#x3c; 0.05. Data visualization was performed using Origin Pro 2021.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Physical properties of soils</title>
<sec id="s3-1-1">
<title>3.1.1 Soil particle composition and fractal dimension</title>
<p>The contents of clay and silt at the same soil depth showed a pattern of Type I &#x3e; Type II &#x3e; Type III &#x3e; CK (<xref ref-type="table" rid="T2">Table 2</xref>), while the contents of medium sand, coarse sand, and very coarse sand in the soil showed the opposite trend. There were significant differences in the soil clay and medium sand contents among different plots (<italic>P</italic> &#x3c; 0.05). However, there were no significant differences in soil silt, very fine sand, fine sand, coarse sand, or very coarse sand contents between sample Type II and sample Type III (<italic>P</italic> &#x3e; 0.05). In different soil depths within the same plantation land, the contents of clay, silt and very fine sand varied between the 0&#x2013;20&#xa0;cm and 20&#x2013;40&#xa0;cm layers, and there were significant differences among soil layers (<italic>P</italic> &#x3c; 0.05). The variation trend for medium sand and very coarse sand was the opposite. The content of medium sand was significantly different among soil layers (<italic>P</italic> &#x3c; 0.05), but the content of very coarse sand was not significantly different among soil layers (<italic>P</italic> &#x3e; 0.05). The variation in soil fine sand content showed no clear pattern. The variation of the fractal dimension of soil particle size in different soil layers was in the order Type I &#x3e; Type II &#x3e; Type III &#x3e; CK. All plots showed the pattern 0&#x2013;20&#xa0;cm &#x3e; 20&#x2013;40&#xa0;cm, and there were significant differences between each plot and each soil depth (<italic>P</italic> &#x3c; 0.05). The wider afforestation plant spacing increased the content of fine soil particles and the fractal dimension of the soil.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Soil particle composition and fractal dimension characteristics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Soil particle size</th>
<th rowspan="2" align="center">Soil depth</th>
<th colspan="4" align="center">Sample plot type</th>
</tr>
<tr>
<th align="center">I</th>
<th align="center">II</th>
<th align="center">III</th>
<th align="center">CK</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Clay</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">0.90 &#xb1; 0.06Aa</td>
<td align="center">0.78 &#xb1; 0.03Ba</td>
<td align="center">0.69 &#xb1; 0.03Ca</td>
<td align="center">0.38 &#xb1; 0.03Da</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">0.71 &#xb1; 0.04Ab</td>
<td align="center">0.60 &#xb1; 0.03Bb</td>
<td align="center">0.52 &#xb1; 0.05Cb</td>
<td align="center">0.09 &#xb1; 0.02Db</td>
</tr>
<tr>
<td rowspan="2" align="center">Silt</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">12.15 &#xb1; 0.39Aa</td>
<td align="center">10.75 &#xb1; 0.59Ba</td>
<td align="center">10.37 &#xb1; 0.53Ba</td>
<td align="center">2.62 &#xb1; 0.37Ca</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">8.41 &#xb1; 0.41Ab</td>
<td align="center">7.27 &#xb1; 0.54Bb</td>
<td align="center">7.13 &#xb1; 0.46Bb</td>
<td align="center">2.02 &#xb1; 0.11Cb</td>
</tr>
<tr>
<td rowspan="2" align="center">Very Fine Sand</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">26.78 &#xb1; 0.91Aa</td>
<td align="center">24.61 &#xb1; 0.61Ba</td>
<td align="center">24.09 &#xb1; 0.86Ba</td>
<td align="center">21.60 &#xb1; 0.47Ca</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">24.29 &#xb1; 0.62Ab</td>
<td align="center">21.90 &#xb1; 0.94Bb</td>
<td align="center">21.08 &#xb1; 0.85Bb</td>
<td align="center">21.97 &#xb1; 0.65Ca</td>
</tr>
<tr>
<td rowspan="2" align="center">Fine Sand</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">54.48 &#xb1; 0.72Ca</td>
<td align="center">55.96 &#xb1; 0.94Ba</td>
<td align="center">55.92 &#xb1; 1.23Ba</td>
<td align="center">58.63 &#xb1; 0.74Aa</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">54.87 &#xb1; 0.88Ca</td>
<td align="center">56.15 &#xb1; 1.19Ba</td>
<td align="center">55.88 &#xb1; 1.25Ba</td>
<td align="center">58.28 &#xb1; 0.56Aa</td>
</tr>
<tr>
<td rowspan="2" align="center">Medium Sand</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">3.41 &#xb1; 0.27Da</td>
<td align="center">5.19 &#xb1; 0.42Ca</td>
<td align="center">6.15 &#xb1; 0.42Ba</td>
<td align="center">11.09 &#xb1; 0.51Aa</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">9.69 &#xb1; 0.50Db</td>
<td align="center">11.52 &#xb1; 0.67Cb</td>
<td align="center">12.73 &#xb1; 0.47Bb</td>
<td align="center">13.05 &#xb1; 0.32Ab</td>
</tr>
<tr>
<td rowspan="2" align="center">Coarse Sand</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">1.83 &#xb1; 0.11Ca</td>
<td align="center">1.95 &#xb1; 0.06Ba</td>
<td align="center">1.98 &#xb1; 0.04Ba</td>
<td align="center">3.31 &#xb1; 0.30Aa</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">1.62 &#xb1; 0.14Cb</td>
<td align="center">1.84 &#xb1; 0.06Bb</td>
<td align="center">1.88 &#xb1; 0.09Ba</td>
<td align="center">2.51 &#xb1; 0.38Ab</td>
</tr>
<tr>
<td rowspan="2" align="center">Very Coarse Sand</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">0.45 &#xb1; 0.02Ca</td>
<td align="center">0.76 &#xb1; 0.03Ba</td>
<td align="center">0.80 &#xb1; 0.05Ba</td>
<td align="center">2.36 &#xb1; 0.55Aa</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">0.41 &#xb1; 0.02Ca</td>
<td align="center">0.72 &#xb1; 0.03Ba</td>
<td align="center">0.78 &#xb1; 0.03Ba</td>
<td align="center">2.08 &#xb1; 0.49Ab</td>
</tr>
<tr>
<td rowspan="2" align="center">Fractal dimension</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">2.27 &#xb1; 0.01Aa</td>
<td align="center">2.24 &#xb1; 0.01Ba</td>
<td align="center">2.22 &#xb1; 0.01Ca</td>
<td align="center">2.09 &#xb1; 0.01Da</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">2.23 &#xb1; 0.01Ab</td>
<td align="center">2.20 &#xb1; 0.01Bb</td>
<td align="center">2.18 &#xb1; 0.01Cb</td>
<td align="center">1.89 &#xb1; 0.01Db</td>
</tr>
<tr>
<td rowspan="2" align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">0.91</td>
<td align="center">0.92</td>
<td align="center">0.92</td>
<td align="center">0.90</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">0.92</td>
<td align="center">0.92</td>
<td align="center">0.93</td>
<td align="center">0.91</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: Data are given as mean &#xb1; standard deviation. Different capitalized letters in the same soil depth indicate significant differences between sample plots, while different lowercase letters in the same sample plot indicate significant differences between different soil depths (<italic>P</italic> &#x3c; 0.05). The figures and tables below also apply.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Soil porosity characteristics</title>
<p>Soil capillary porosity, non-capillary porosity, and total porosity were in the order 0&#x2013;20&#xa0;cm &#x3e; 20&#x2013;40&#xa0;cm in all plots (<xref ref-type="table" rid="T3">Table 3</xref>). Except for the bare sandy land, there were significant differences in the sample plots of forest land in all soil layers (<italic>P</italic> &#x3c; 0.05), while there was no significant difference among soil layers in bare sandy land (<italic>P</italic> &#x3e; 0.05). The changes in soil capillary porosity, non-capillary porosity, and total porosity were in the order Type I &#x3e; Type II &#x3e; Type III &#x3e; CK. There was no significant difference between Type II and Type III in the two soil layers (<italic>P</italic> &#x3e; 0.05), but there was a significant difference between the two plots and Type I and CK (<italic>P</italic> &#x3c; 0.05). Overall, the construction of plantations on bare sand significantly improved the soil porosity. Type II and Type III had similar effects on soil porosity; Type I had the best effect on soil porosity, and the total porosity of Type I was 1.25&#x2013;1.31 times that of bare sand.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Soil porosity characteristics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Sample plot type</th>
<th rowspan="2" align="center">Soil depth</th>
<th colspan="3" align="center">Soil porosity characteristics</th>
</tr>
<tr>
<th align="center">Capillary porosity</th>
<th align="center">Non-capillary porosity</th>
<th align="center">Total porosity</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">I</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">29.38 &#xb1; 0.81Aa</td>
<td align="center">3.78 &#xb1; 0.34Aa</td>
<td align="center">33.15 &#xb1; 0.96Aa</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">27.54 &#xb1; 1.39Ab</td>
<td align="center">3.56 &#xb1; 0.23Ab</td>
<td align="center">31.11 &#xb1; 1.43Ab</td>
</tr>
<tr>
<td rowspan="2" align="center">II</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">28.25 &#xb1; 1.06Ba</td>
<td align="center">3.48 &#xb1; 0.10Ba</td>
<td align="center">31.73 &#xb1; 1.09Ba</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">26.05 &#xb1; 0.83Bb</td>
<td align="center">3.16 &#xb1; 0.16Bb</td>
<td align="center">29.20 &#xb1; 0.78Bb</td>
</tr>
<tr>
<td rowspan="2" align="center">III</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">27.95 &#xb1; 0.71Ba</td>
<td align="center">3.35 &#xb1; 0.20Ba</td>
<td align="center">31.30 &#xb1; 0.86Ba</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">25.74 &#xb1; 0.65Bb</td>
<td align="center">3.04 &#xb1; 0.14Bb</td>
<td align="center">28.78 &#xb1; 0.62Bb</td>
</tr>
<tr>
<td rowspan="2" align="center">CK</td>
<td align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">22.67 &#xb1; 0.58Ca</td>
<td align="center">2.62 &#xb1; 0.11Ca</td>
<td align="center">25.29 &#xb1; 0.60Ca</td>
</tr>
<tr>
<td align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">22.39 &#xb1; 0.75Ca</td>
<td align="center">2.57 &#xb1; 0.08Ca</td>
<td align="center">24.96 &#xb1; 0.71Ca</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Soil water content and bulk density characterization</title>
<p>At the same soil depth, the soil water contents of the plantations with different plant spacing were in the order Type I &#x3e; Type II &#x3e; Type III &#x3e; CK, and the pattern for the soil bulk density was the opposite (<xref ref-type="fig" rid="F3">Figure 3</xref>). In different soil depths of the same sample plot, the soil water content and soil bulk density were in the order 0&#x2013;20&#xa0;cm &#x3c; 20&#x2013;40&#xa0;cm. There were significant differences in soil water content and bulk density among different soil depths and plots (P &#x3c; 0.05). The results showed that the difference in afforestation spacing had significant effects on the soil water content and bulk density.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Soil water content and <bold>(B)</bold> bulk density in different sample plots.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Chemical properties of soils</title>
<sec id="s3-2-1">
<title>3.2.1 Soil pH and electrical conductivity characteristics</title>
<p>At the same depth, the pH of the soil with different planting spacing was in the order Type I &#x3c; Type II &#x3c; Type III &#x3c; CK. Soil electrical conductivity (EC) was in the order CK &#x3c; Type I &#x3c; Type II &#x3c; Type III (<xref ref-type="fig" rid="F4">Figure 4</xref>). In different soil depths of the same sample plot, soil pH and EC were in the order 0&#x2013;20&#xa0;cm &#x3e; 20&#x2013;40&#xa0;cm. There were significant differences in soil EC among different soil depths and plots (<italic>P</italic> &#x3c; 0.05). There were no significant differences in soil pH among different soil depths in the same sample plot (<italic>P</italic> &#x3e; 0.05), and no significant differences between sample Type II and sample Type III at the same soil depth (<italic>P</italic> &#x3e; 0.05). These results indicate that afforestation in sandy land can reduce soil pH and increase soil EC. The influence of plant spacing on soil pH value was reflected in the plantations with wide afforestation spacing, and the soil EC decreased with an increase in plant spacing.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Soil pH values and <bold>(B)</bold> electrical conductivity in different sample plots.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g004.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Soil nutrients</title>
<p>The contents of soil organic matter, total nutrients, and available nutrients in the 0&#x2013;20&#xa0;cm layer were significantly higher than those in the 20&#x2013;40&#xa0;cm layer (<italic>P</italic> &#x3c; 0.05). The contents of soil organic matter, total N, total P, available N, available P, and available K in all soil layers showed a pattern of Type I &#x3e; Type II &#x3e; Type III &#x3e; CK, and the contents of soil organic matter, total N, total P, and available N were significantly different among sample plots and at each soil depth (<italic>P</italic> &#x3c; 0.05). There were no significant differences in soil available P or K contents between sample Type II and sample Type III (<italic>P</italic> &#x3e; 0.05). There was no significant difference in soil total K content in the plantations with different planting spacings (<italic>P</italic> &#x3e; 0.05), but there was a significant difference in the soil total K content between the plantations and the moving sandy land (<italic>P</italic> &#x3c; 0.05). In summary, afforestation in moving sandy land significantly improved the soil organic matter and nutrient contents, and the change in afforestation spacing had no significant effect on the soil total K content. The improvement of soil nutrients in sample plot Type I was the highest among all plots (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Characteristics of soil nutrients.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Soil depth</th>
<th rowspan="2" align="center">Soil chemical properties</th>
<th colspan="4" align="center">Sample plot type</th>
</tr>
<tr>
<th align="center">I</th>
<th align="center">II</th>
<th align="center">III</th>
<th align="center">CK</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="7" align="center">0&#x2013;20&#xa0;cm</td>
<td align="center">SOM/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">18.17 &#xb1; 0.55Aa</td>
<td align="center">17.33 &#xb1; 0.38Ba</td>
<td align="center">16.25 &#xb1; 0.15Ca</td>
<td align="center">5.63 &#xb1; 0.62Da</td>
</tr>
<tr>
<td align="center">TN/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">0.64 &#xb1; 0.04Aa</td>
<td align="center">0.56 &#xb1; 0.05Ba</td>
<td align="center">0.48 &#xb1; 0.03Ca</td>
<td align="center">0.28 &#xb1; 0.02Da</td>
</tr>
<tr>
<td align="center">AN/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">52.89 &#xb1; 0.69Aa</td>
<td align="center">48.07 &#xb1; 0.96Ba</td>
<td align="center">44.67 &#xb1; 1.16Ca</td>
<td align="center">40.20 &#xb1; 0.63Da</td>
</tr>
<tr>
<td align="center">TP/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">0.51 &#xb1; 0.04Aa</td>
<td align="center">0.46 &#xb1; 0.03Ba</td>
<td align="center">0.41 &#xb1; 0.03Ca</td>
<td align="center">0.27 &#xb1; 0.02Da</td>
</tr>
<tr>
<td align="center">AP/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">1.66 &#xb1; 0.06Aa</td>
<td align="center">1.31 &#xb1; 0.06Ba</td>
<td align="center">1.28 &#xb1; 0.05Ba</td>
<td align="center">0.86 &#xb1; 0.08Ca</td>
</tr>
<tr>
<td align="center">TK/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">35.80 &#xb1; 0.73Aa</td>
<td align="center">35.52 &#xb1; 0.66Aa</td>
<td align="center">35.31 &#xb1; 0.71Aa</td>
<td align="center">29.73 &#xb1; 0.61Ba</td>
</tr>
<tr>
<td align="center">AK/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">43.57 &#xb1; 0.77Aa</td>
<td align="center">41.07 &#xb1; 1.44Ba</td>
<td align="center">40.78 &#xb1; 0.69Ba</td>
<td align="center">38.61 &#xb1; 0.63Ca</td>
</tr>
<tr>
<td rowspan="7" align="center">20&#x2013;40&#xa0;cm</td>
<td align="center">SOM/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">17.21 &#xb1; 0.35Ab</td>
<td align="center">15.92 &#xb1; 0.26Bb</td>
<td align="center">15.09 &#xb1; 0.22Cb</td>
<td align="center">4.45 &#xb1; 0.35Db</td>
</tr>
<tr>
<td align="center">TN/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">0.54 &#xb1; 0.05Ab</td>
<td align="center">0.44 &#xb1; 0.06Bb</td>
<td align="center">0.39 &#xb1; 0.01Cb</td>
<td align="center">0.22 &#xb1; 0.08Db</td>
</tr>
<tr>
<td align="center">AN/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">47.09 &#xb1; 0.68Ab</td>
<td align="center">43.41 &#xb1; 0.80Bb</td>
<td align="center">41.18 &#xb1; 0.64Cb</td>
<td align="center">36.74 &#xb1; 0.72Db</td>
</tr>
<tr>
<td align="center">TP/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">0.45 &#xb1; 0.04Ab</td>
<td align="center">0.40 &#xb1; 0.02Bb</td>
<td align="center">0.35 &#xb1; 0.03Cb</td>
<td align="center">0.21 &#xb1; 0.02Db</td>
</tr>
<tr>
<td align="center">AP/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">1.41 &#xb1; 0.05Ab</td>
<td align="center">1.09 &#xb1; 0.05Bb</td>
<td align="center">1.02 &#xb1; 0.04Bb</td>
<td align="center">0.72 &#xb1; 0.04Cb</td>
</tr>
<tr>
<td align="center">TK/(g&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">32.98 &#xb1; 0.96Ab</td>
<td align="center">32.91 &#xb1; 0.75Ab</td>
<td align="center">32.29 &#xb1; 0.65Ab</td>
<td align="center">27.81 &#xb1; 0.40Bb</td>
</tr>
<tr>
<td align="center">AK/(mg&#xb7;kg<sup>&#x2212;1</sup>)</td>
<td align="center">41.04 &#xb1; 0.94Ab</td>
<td align="center">39.35 &#xb1; 1.20Bb</td>
<td align="center">39.08 &#xb1; 0.62Bb</td>
<td align="center">36.46 &#xb1; 1.43Cb</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: SOM, soil organic matter; TN, soil total nitrogen; TP, soil total phosphorus; TK, soil total potassium; AN, soil available nitrogen; AP, soil available phosphorus; AK, soil available potassium. The figures and tables below also apply.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Comprehensive evaluation of soil fertility</title>
<sec id="s3-3-1">
<title>3.3.1 Establishment of the minimum data set</title>
<p>Fifteen indexes reflecting the soil fertility of <italic>P</italic>. <italic>sylvestris</italic> var. <italic>mongolica</italic> plantations were selected to establish a total data set (TDS) for soil fertility evaluation: fractal dimension of soil particle size, capillary porosity, non-capillary porosity, total porosity, bulk density, water content, pH, EC, organic matter, total nitrogen, total phosphorus, total potassium, available nitrogen, available phosphorus, and available potassium. The fractal dimension can describe the particle size composition and distribution of the soil, and thus the TDS did not include the soil particle composition. PCA was used to analyze the 15 soil indexes. The results showed that the cumulative contribution rate of the principal components of the two extracted eigenvalues &#x2265;1 was 85.1% (<xref ref-type="table" rid="T5">Table 5</xref>), indicating that they could explain the variation of most of the soil indicators.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Principal component analysis of soil property indexes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Soil indicator</th>
<th rowspan="2" align="center">Symbol</th>
<th colspan="2" align="center">Principal component</th>
<th rowspan="2" align="center">Norm value</th>
<th rowspan="2" align="center">Communality</th>
<th rowspan="2" align="center">Weight of TDS</th>
<th rowspan="2" align="center">Weight of MDS</th>
</tr>
<tr>
<th align="center">PC-1</th>
<th align="center">PC-2</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Soil water content</td>
<td align="center">SWC</td>
<td align="center">0.483</td>
<td align="center">&#x2212;0.749</td>
<td align="center">1.81</td>
<td align="center">0.793</td>
<td align="center">0.0589</td>
<td align="center">0.3231</td>
</tr>
<tr>
<td align="center">Soil bulk density</td>
<td align="center">SBD</td>
<td align="center">&#x2212;0.879</td>
<td align="center">&#x2212;0.18</td>
<td align="center">2.95</td>
<td align="center">0.805</td>
<td align="center">0.0598</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil non-capillary porosity</td>
<td align="center">SNP</td>
<td align="center">0.913</td>
<td align="center">&#x2212;0.03</td>
<td align="center">3.06</td>
<td align="center">0.835</td>
<td align="center">0.0620</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil capillary porosity</td>
<td align="center">SCP</td>
<td align="center">0.946</td>
<td align="center">0.008</td>
<td align="center">3.17</td>
<td align="center">0.894</td>
<td align="center">0.0664</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil total porosity</td>
<td align="center">STP</td>
<td align="center">0.959</td>
<td align="center">0.003</td>
<td align="center">3.21</td>
<td align="center">0.92</td>
<td align="center">0.0683</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil fractal dimension</td>
<td align="center">D</td>
<td align="center">0.927</td>
<td align="center">0.057</td>
<td align="center">3.10</td>
<td align="center">0.863</td>
<td align="center">0.0641</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil organic matter</td>
<td align="center">SOM</td>
<td align="center">0.955</td>
<td align="center">&#x2212;0.152</td>
<td align="center">3.20</td>
<td align="center">0.935</td>
<td align="center">0.0694</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil total nitrogen</td>
<td align="center">TN</td>
<td align="center">0.966</td>
<td align="center">0.029</td>
<td align="center">3.23</td>
<td align="center">0.934</td>
<td align="center">0.0694</td>
<td align="center">0.3806</td>
</tr>
<tr>
<td align="center">Soil total phosphorus</td>
<td align="center">TP</td>
<td align="center">0.945</td>
<td align="center">0.075</td>
<td align="center">3.16</td>
<td align="center">0.899</td>
<td align="center">0.0668</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil total potassium</td>
<td align="center">TK</td>
<td align="center">0.926</td>
<td align="center">0.192</td>
<td align="center">3.11</td>
<td align="center">0.894</td>
<td align="center">0.0664</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil available nitrogen</td>
<td align="center">AN</td>
<td align="center">0.928</td>
<td align="center">0.178</td>
<td align="center">3.11</td>
<td align="center">0.892</td>
<td align="center">0.0663</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil available phosphorus</td>
<td align="center">AP</td>
<td align="center">0.948</td>
<td align="center">0.084</td>
<td align="center">3.17</td>
<td align="center">0.907</td>
<td align="center">0.0674</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil available potassium</td>
<td align="center">AK</td>
<td align="center">0.854</td>
<td align="center">0.26</td>
<td align="center">2.87</td>
<td align="center">0.796</td>
<td align="center">0.0591</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Soil pH</td>
<td align="center">pH</td>
<td align="center">&#x2212;0.587</td>
<td align="center">0.619</td>
<td align="center">2.08</td>
<td align="center">0.727</td>
<td align="center">0.0540</td>
<td align="center">0.2963</td>
</tr>
<tr>
<td align="center">Soil electrical conductivity</td>
<td align="center">EC</td>
<td align="center">0.815</td>
<td align="center">&#x2212;0.082</td>
<td align="center">2.73</td>
<td align="center">0.671</td>
<td align="center">0.0498</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Characteristic root</td>
<td colspan="2" align="center">11.606</td>
<td align="center">1.159</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Variance contribution rates/%</td>
<td colspan="2" align="center">77.375</td>
<td align="center">7.725</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">Accumulated variance contribution rates/%</td>
<td colspan="2" align="center">77.375</td>
<td align="center">85.1</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The factor loadings (&#x3e;0.5) and the Norm values of the soil indices in the principal component analysis were considered for the minimum dataset (MDS). <xref ref-type="fig" rid="F5">Figure 5</xref> shows the results of Pearson correlation analysis of soil indicators in the study area. TN had the largest factor loading and Norm value in PC-1, and the other indexes in PC-1 were significantly correlated with TN (<italic>P</italic> &#x3c; 0.05), and thus only TN was included in the MDS in PC-1. The indices with the highest Norm values in PC-2 were pH and SWC, with a correlation coefficient of &#x2212;0.55, and these indices were included in the MDS. The weights of the indices were determined according to the contribution to the variance of each index, and the calculation results are shown in <xref ref-type="table" rid="T5">Table 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Pearson correlations between the soil properties. Note: SWC, soil water content; SBD, soil bulk density; SNP, soil non-capillary porosity; SCP, soil capillary porosity; STP, soil total porosity; D, soil fractal dimension; EC, soil electrical conductivity. The numbers displayed represent correlation coefficients. Purple, blue, and green indicate positive correlations between parameters, while red, orange, and yellow indicate negative correlations between parameters. The significance levels are &#x2a;<italic>P</italic> &#x3c; 0.05; &#x2a;&#x2a;<italic>P</italic> &#x3c; 0.01.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g005.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Evaluation of soil quality</title>
<p>The variation in TDS-SQI was in the order Type I (0.55) &#x3e; Type II (0.50) &#x3e; Type III (0.47) &#x3e; CK (0.36). The variation in MDS-SQI was in the order Type I (0.60) &#x3e; Type II (0.54) &#x3e; Type III (0.48) &#x3e; CK (0.34) (<xref ref-type="fig" rid="F6">Figure 6A</xref>). The trends of TDS-SQI and MDS-SQI were the same among different soil depths (<xref ref-type="fig" rid="F6">Figure 6B</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> SQI of the TDS and MDS. <bold>(B)</bold> SQI of the TDS and MDS in different soil depths.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g006.tif"/>
</fig>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Evaluation results of grey relevance</title>
<p>The ranking of the evaluation results with equal weights in correlation degree between TDS and MDS was as follows: Type I &#x3e; Type II &#x3e; Type III &#x3e; CK. In the evaluation of soil fertility, the importance of each soil index is different; therefore, the evaluation of soil fertility cannot be objectively reflected by the equal weighting of relation degree, and thus it is more appropriate to use the weighted relation degree for evaluation. In this study, the evaluation results of TDS and MDS weighted relation degrees were consistent with the ranking of equal weights for relation degrees (<xref ref-type="table" rid="T6">Table 6</xref>).</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Grey relevance evaluation results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">Sample plot type</th>
<th colspan="4" align="center">Equal weight relevance</th>
<th colspan="4" align="center">Weighted relevance</th>
</tr>
<tr>
<th colspan="2" align="center">TDS</th>
<th colspan="2" align="center">MDS</th>
<th colspan="2" align="center">TDS</th>
<th colspan="2" align="center">MDS</th>
</tr>
<tr>
<th align="center">Relevance</th>
<th align="center">Ranking</th>
<th align="center">Relevance</th>
<th align="center">Ranking</th>
<th align="center">Relevance</th>
<th align="center">Ranking</th>
<th align="center">Relevance</th>
<th align="center">Ranking</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">I</td>
<td align="center">0.84</td>
<td align="center">1</td>
<td align="center">0.82</td>
<td align="center">1</td>
<td align="center">0.80</td>
<td align="center">1</td>
<td align="center">0.82</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">II</td>
<td align="center">0.75</td>
<td align="center">2</td>
<td align="center">0.73</td>
<td align="center">2</td>
<td align="center">0.71</td>
<td align="center">2</td>
<td align="center">0.72</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center">III</td>
<td align="center">0.71</td>
<td align="center">3</td>
<td align="center">0.67</td>
<td align="center">3</td>
<td align="center">0.68</td>
<td align="center">3</td>
<td align="center">0.66</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">CK</td>
<td align="center">0.59</td>
<td align="center">4</td>
<td align="center">0.57</td>
<td align="center">4</td>
<td align="center">0.55</td>
<td align="center">4</td>
<td align="center">0.55</td>
<td align="center">4</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-4">
<title>3.3.4 Reliability of the MDS</title>
<p>The rationality of the MDS construction was directly related to the accuracy of the evaluation of soil fertility. We compared the TDS with the MDS by regression analysis. The results showed that TDS-SQI was significantly positively correlated with MDS-SQI (P &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.9384) (<xref ref-type="fig" rid="F7">Figure 7A</xref>), and the grey correlation between the TDS and the MDS was significantly positive (P &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.8929) (<xref ref-type="fig" rid="F7">Figure 7B</xref>). Therefore, the MDS index could be used instead of the TDS to evaluate the soil fertility of <italic>P</italic>. <italic>sylvestris</italic> var. <italic>mongolica</italic> plantations with different planting spacings in the study area.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> The linear relationship between the SQI values of the TDS and the MDS. <bold>(B)</bold> The linear relationship between the grey relations of the TDS and MDS.</p>
</caption>
<graphic xlink:href="fenvs-13-1477459-g007.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>As the basis for plant growth and survival, soil plays crucial roles in the growth of individual plants and the succession of vegetation communities, and the structure of these vegetation communities is closely tied to soil quality and nutrient cycling (<xref ref-type="bibr" rid="B44">Van der Putten et al., 2013</xref>; <xref ref-type="bibr" rid="B33">Normand et al., 2017</xref>; <xref ref-type="bibr" rid="B13">Gatica-Saavedra et al., 2023</xref>). Plants significantly influence the structure and properties of soil through mechanisms such as root growth, litter mulching, and the exudation of substances. In turn, soil provides the essential medium for plant growth and development, and any changes in soil properties can affect plant health and growth, highlighting the dynamic interaction between understory vegetation and soil. This reciprocal influence is known as &#x201c;plant&#x2013;soil feedback&#x201d; (<xref ref-type="bibr" rid="B45">van der Putten et al., 2016</xref>), a phenomenon observed across various plants and soil types (<xref ref-type="bibr" rid="B2">Arunrat et al., 2023a</xref>; <xref ref-type="bibr" rid="B3">Arunrat et al., 2023b</xref>). Therefore, in any forestry project focused on ecological restoration, soil development and restoration are long and complex processes (<xref ref-type="bibr" rid="B15">Halme et al., 2013</xref>; <xref ref-type="bibr" rid="B48">Widyati et al., 2022</xref>). An increasing body of relevant research confirms that altering stand density has a significant effect on soil physico-chemical properties, a hypothesis that is corroborated by the results of the present study (<xref ref-type="bibr" rid="B39">Razafindrabe et al., 2010</xref>; <xref ref-type="bibr" rid="B38">Qiu et al., 2019</xref>; <xref ref-type="bibr" rid="B29">Menyailo et al., 2022</xref>). At present, many studies, focusing on the impact of stand density on soil characteristics and quality, conducted in arid and semi-arid areas have concluded that appropriately reducing stand density is beneficial to soil development, a conclusion that is consistent with the results of this study (<xref ref-type="bibr" rid="B1">Andrews et al., 2020</xref>; <xref ref-type="bibr" rid="B22">Liu et al., 2024</xref>). However, some researchers have found that both excessively high or low stand densities is not conducive to soil fertility. When the stand density is too low, it can hinder canopy closure, resulting in inadequate surface vegetation restoration and litter coverage; this condition can expose bare areas of forest land, leading to increased evapotranspiration of soil moisture and nutrients, while rainfall can lead to surface runoff and soil erosion. If the stand density is too high, it inevitably leads to intense competition for water and nutrients among vegetation and trees in arid areas characterized by poor soil nutrient and water conditions; this competition hinders the restoration of understory species diversity (<xref ref-type="bibr" rid="B55">Zhang, 2022</xref>). Therefore, varying climatic conditions and geographic locations across different study areas can influence the results of the study, making it essential to explore the thresholds for reasonable stand density of different tree species as a critical consideration in afforestation efforts.</p>
<p>The planting patterns in afforestation projects directly or indirectly lead to changes in soil properties (<xref ref-type="bibr" rid="B10">Enoki et al., 1996</xref>; <xref ref-type="bibr" rid="B47">Wang et al., 2019</xref>). The results of this study show that the wider spacing of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> positively affects the soil characteristics and fertility of the understory. This can be attributed primarily to the lower canopy density associated with wider spacing that weakens the canopy&#x2019;s ability to intercept precipitation, allowing herbs to better absorb natural precipitation. As a result, the low-growing vegetation can access more sunlight, enhancing light compensation, promoting photosynthesis, and also improving the soil temperature, thereby providing a suitable environment for litter decomposition and microbial reproduction beneath the forest floor. Therefore, wider spacing can increase the richness and biomass of understory vegetation, thereby altering the soil microenvironment, and the return and decomposition of nutrients from community species further affect the characteristics of understory soil, improve soil quality, and promote soil nutrient cycling. Based on the above analysis, we investigated the vegetation in the sample plots and analyzed the correlations between vegetation characteristics and soil characteristics across different plots. There were significant correlations between vegetation characteristics, soil characteristics, and plant row spacing, with particularly strong correlations between vegetation characteristics and soil characteristics (<xref ref-type="table" rid="T7">Table 7</xref>).</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Correlation analysis of soil properties and vegetation characteristics among sample plots with different plant spacing.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Soil properties</th>
<th colspan="7" align="center">Vegetation characteristics</th>
</tr>
<tr>
<th align="center">Planting spacing</th>
<th align="center">Crown density</th>
<th align="center">Herbaceous vegetation cover</th>
<th align="center">Simpson&#x2019;s diversity index</th>
<th align="center">Shannon&#x2019;s diversity index</th>
<th align="center">Margalef richness index</th>
<th align="center">Pielou uniformity index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Planting spacing</td>
<td align="center">1</td>
<td align="center">&#x2212;0.959&#x2a;&#x2a;</td>
<td align="center">0.969&#x2a;&#x2a;</td>
<td align="center">0.944&#x2a;&#x2a;</td>
<td align="center">0.976&#x2a;&#x2a;</td>
<td align="center">0.979&#x2a;&#x2a;</td>
<td align="center">0.948&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">SWC</td>
<td align="center">0.589&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.574&#x2a;&#x2a;</td>
<td align="center">0.561&#x2a;&#x2a;</td>
<td align="center">0.579&#x2a;&#x2a;</td>
<td align="center">0.586&#x2a;&#x2a;</td>
<td align="center">0.580&#x2a;&#x2a;</td>
<td align="center">0.559&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">SBD</td>
<td align="center">&#x2212;0.649&#x2a;&#x2a;</td>
<td align="center">0.658&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.624&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.628&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.637&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.647&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.603&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">SNP</td>
<td align="center">0.615&#x2a;&#x2a;</td>
<td align="center">0.658&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.624&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.628&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.637&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.647&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.603&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">SCP</td>
<td align="center">0.434&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.361&#x2a;&#x2a;</td>
<td align="center">0.387&#x2a;&#x2a;</td>
<td align="center">0.381&#x2a;&#x2a;</td>
<td align="center">0.404&#x2a;&#x2a;</td>
<td align="center">0.403&#x2a;&#x2a;</td>
<td align="center">0.389&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">STP</td>
<td align="center">0.492&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.420&#x2a;&#x2a;</td>
<td align="center">0.454&#x2a;&#x2a;</td>
<td align="center">0.435&#x2a;&#x2a;</td>
<td align="center">0.459&#x2a;&#x2a;</td>
<td align="center">0.461&#x2a;&#x2a;</td>
<td align="center">0.430&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">SOM</td>
<td align="center">0.765&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.745&#x2a;&#x2a;</td>
<td align="center">0.746&#x2a;&#x2a;</td>
<td align="center">0.725&#x2a;&#x2a;</td>
<td align="center">0.737&#x2a;&#x2a;</td>
<td align="center">0.757&#x2a;&#x2a;</td>
<td align="center">0.736&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">TN</td>
<td align="center">0.698&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.664&#x2a;&#x2a;</td>
<td align="center">0.652&#x2a;&#x2a;</td>
<td align="center">0.664&#x2a;&#x2a;</td>
<td align="center">0.675&#x2a;&#x2a;</td>
<td align="center">0.684&#x2a;&#x2a;</td>
<td align="center">0.664&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">TP</td>
<td align="center">0.649&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.668&#x2a;&#x2a;</td>
<td align="center">0.673&#x2a;&#x2a;</td>
<td align="center">0.691&#x2a;&#x2a;</td>
<td align="center">0.703&#x2a;&#x2a;</td>
<td align="center">0.679&#x2a;&#x2a;</td>
<td align="center">0.699&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">TK</td>
<td align="center">0.143</td>
<td align="center">&#x2212;0.148</td>
<td align="center">0.143</td>
<td align="center">0.146</td>
<td align="center">0.146</td>
<td align="center">0.15</td>
<td align="center">0.145</td>
</tr>
<tr>
<td align="center">AN</td>
<td align="center">0.756&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.739&#x2a;&#x2a;</td>
<td align="center">0.743&#x2a;&#x2a;</td>
<td align="center">0.701&#x2a;&#x2a;</td>
<td align="center">0.731&#x2a;&#x2a;</td>
<td align="center">0.734&#x2a;&#x2a;</td>
<td align="center">0.704&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">AP</td>
<td align="center">0.764&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.684&#x2a;&#x2a;</td>
<td align="center">0.742&#x2a;&#x2a;</td>
<td align="center">0.651&#x2a;&#x2a;</td>
<td align="center">0.708&#x2a;&#x2a;</td>
<td align="center">0.706&#x2a;&#x2a;</td>
<td align="center">0.687&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">AK</td>
<td align="center">0.574&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.506&#x2a;&#x2a;</td>
<td align="center">0.536&#x2a;&#x2a;</td>
<td align="center">0.524&#x2a;&#x2a;</td>
<td align="center">0.545&#x2a;&#x2a;</td>
<td align="center">0.543&#x2a;&#x2a;</td>
<td align="center">0.521&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">pH</td>
<td align="center">&#x2212;0.349&#x2a;&#x2a;</td>
<td align="center">0.286&#x2a;</td>
<td align="center">&#x2212;0.316&#x2a;</td>
<td align="center">&#x2212;0.275&#x2a;</td>
<td align="center">&#x2212;0.271&#x2a;</td>
<td align="center">&#x2212;0.304&#x2a;</td>
<td align="center">&#x2212;0.364&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">EC</td>
<td align="center">&#x2212;0.715&#x2a;&#x2a;</td>
<td align="center">0.669&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.686&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.672&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.696&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.692&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.717&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">D</td>
<td align="center">0.717&#x2a;&#x2a;</td>
<td align="center">&#x2212;0.687&#x2a;&#x2a;</td>
<td align="center">0.694&#x2a;&#x2a;</td>
<td align="center">0.677&#x2a;&#x2a;</td>
<td align="center">0.699&#x2a;&#x2a;</td>
<td align="center">0.701&#x2a;&#x2a;</td>
<td align="center">0.679&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a; indicates significant correlation at the 0.01 level (two-tailed), &#x2a; indicates significant correlation at the 0.05 level (two-tailed).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Our study observed a notable phenomenon in which different plant spacings had a positive effect on most physical and chemical properties of the soil compared to the unafforested bare sandy land, while planting <italic>P. sylvestris</italic> var. <italic>mongolica</italic> in the study area resulted in increased soil conductivity, suggesting a potential risk soil salinization associated with the existing planting patterns of <italic>P. sylvestris</italic> var. <italic>sylvestris</italic> plantations. We speculate that this may be because <italic>P. sylvestris</italic> var. <italic>mongolica</italic> survives best in rain-fed conditions without artificial irrigation or fertilization. The average annual precipitation in Duolun County is about 350&#xa0;mm, while the average annual evaporation is about 1,769&#xa0;mm, which is five times the amount of precipitation. Under drought conditions characterized by minimal rainfall and a lack of irrigation, strong surface evaporation can cause water from deeper layers of the soil to rise due to capillary forces, resulting in the accumulation of salts on the soil surface. The results of this study show that the closer the plant spacing, the higher the soil EC, while increasing spacing leads to a decrease in soil EC. This phenomenon can be mitigated by adjusting the planting density during afforestation. In the field investigation, we found that the smaller the afforestation spacing, the greater the decline of the stand health (<xref ref-type="fig" rid="F2">Figure 2</xref>). This decline potentially involves salt content in the soil, as excessive salinity can damage plants, hinder their normal growth and development, lead to physiological drought, and finally result in plant desiccation and mortality (<xref ref-type="bibr" rid="B31">Munns, 2002</xref>; <xref ref-type="bibr" rid="B26">Mahajan and Tuteja, 2005</xref>). Existing studies have found that the root system of Pinus sylvestris sylvestris var. mongolica is largely distributed at depths of 1&#x2013;1.5&#xa0;m (<xref ref-type="bibr" rid="B28">MENG et al., 2018</xref>; <xref ref-type="bibr" rid="B56">Zhang et al., 2021</xref>), making it challenging for these trees to use groundwater effectively. Consequently, trees in these plantations often rely on soil moisture and rainfall. As mentioned above, increasing row spacing reduces canopy density of the stand, allowing for greater soil moisture replenishment from rainfall, and the results of this study demonstrate that wider row spacing corresponds to higher soil moisture content, potentially alleviating the phenomenon of root salinity stress. This hypothesis required further experimental verification and thus shapes our future research directions.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Row spacing is critical for plantation ecosystems, as it directly affects the allocation of natural resources and further leads to differences in soil recovery. Here, we analyzed the changes in soil characteristics of <italic>P. sylvestris</italic> var. <italic>mongolica</italic> plantations in a typical agro-pastoral ecotone under different row spacing patterns and assessed their comprehensive soil fertility. Compared to the unafforested bare sandy land, planting <italic>P. sylvestris</italic> var. <italic>mongolica</italic> with different row spacing in the sandy land of the agro-pastoral ecotone can significantly improve the physical and chemical properties of soil (except EC). The soil improvement effect was notably greater in the 0&#x2013;20&#xa0;cm layer than that of the 20&#x2013;40&#xa0;cm layer. These findings suggest that our first hypothesis is valid. The row spacing of afforestation plants significantly affected soil characteristics and soil fertility. In the three afforestation modes studied in this experiment, as row spacing increased, soil coarse particle content decreased while fine particle content as well as water and nutrient content increased; soil porosity increased and soil bulk density decreased. Planting <italic>P. sylvestris</italic> var. <italic>mongolica</italic> in sandy land increased the soil electrical conductivity, which decreased with greater band spacing (<xref ref-type="table" rid="T8">Table 8</xref>). The results of the evaluation of fertility of different types of plantations were consistently in the order 2&#xa0;m &#xd7; 6&#xa0;m &#x3e; 2&#xa0;m &#xd7; 3&#xa0;m &#x3e; 1&#xa0;m &#xd7; 1&#xa0;m &#x3e; bare sandy land, and the results for the TDS and the MDS in the two evaluation systems were significantly positively correlated (Soil quality index method: <italic>P</italic> &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.9384). Grey relation analysis: <italic>P</italic> &#x3c; 0.05, <italic>R</italic>
<sup>2</sup> &#x3d; 0.8929). These findings suggest that our second hypothesis is also valid. In summary, <italic>P. sylvestris</italic> var. <italic>mongolica</italic> is a suitable tree species for afforestation in the degraded land of the agro-pastoral ecotone, but the development of soil characteristics and fertility accumulation are not ideal when the planting density is larger. It will also increase soil EC content, which may further lead to tree decline and soil salinization. Among the above three afforestation modes, 2&#xa0;m &#xd7; 6&#xa0;m plantation forests can better improve the soil characteristics and fertility quality of sandy soils. The results of this study can serve as a reference for the construction and management of plantations in agro-pastoral ecotones and other fragile ecological zones.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Changes in soil properties of different plantations compared to bare sandy land.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Soil properties</th>
<th colspan="3" align="center">Compared to bare sandy land (CK)/%</th>
<th rowspan="2" align="center">Increase or decrease</th>
</tr>
<tr>
<th align="center">Type I</th>
<th align="center">Type II</th>
<th align="center">Type III</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Soil bulk density</td>
<td align="center">13.72</td>
<td align="center">10.67</td>
<td align="center">7.71</td>
<td align="center">Decrease</td>
</tr>
<tr>
<td align="center">Soil pH</td>
<td align="center">4.02</td>
<td align="center">2.7</td>
<td align="center">2.5</td>
<td align="center">Decrease</td>
</tr>
<tr>
<td align="center">Soil EC</td>
<td align="center">89.4</td>
<td align="center">109.7</td>
<td align="center">118.96</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil water content</td>
<td align="center">49.75</td>
<td align="center">21.25</td>
<td align="center">18.5</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil total porosity</td>
<td align="center">27.88</td>
<td align="center">21.25</td>
<td align="center">19.56</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil organic matter</td>
<td align="center">250.99</td>
<td align="center">229.86</td>
<td align="center">210.91</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil total nitrogen</td>
<td align="center">136</td>
<td align="center">100</td>
<td align="center">74</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil total phosphorus</td>
<td align="center">100</td>
<td align="center">79.17</td>
<td align="center">58.33</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil total potassium</td>
<td align="center">19.53</td>
<td align="center">18.93</td>
<td align="center">17.48</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil available nitrogen</td>
<td align="center">29.95</td>
<td align="center">18.9</td>
<td align="center">11.58</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil available phosphorus</td>
<td align="center">94.3</td>
<td align="center">51.9</td>
<td align="center">45.57</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Soil available potassium</td>
<td align="center">12.71</td>
<td align="center">7.13</td>
<td align="center">6.38</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Clay</td>
<td align="center">242.55</td>
<td align="center">193.62</td>
<td align="center">157.45</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Silt</td>
<td align="center">343.1</td>
<td align="center">288.36</td>
<td align="center">277.16</td>
<td align="center">Increase</td>
</tr>
<tr>
<td align="center">Very Fine Sand</td>
<td align="center">17.21</td>
<td align="center">6.75</td>
<td align="center">3.67</td>
<td align="center">Increase</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>XG: Conceptualization, Formal Analysis, Investigation, Methodology, Visualization, Writing&#x2013;original draft, Writing&#x2013;review and editing. GY: Conceptualization, Funding acquisition, Methodology, Writing&#x2013;review and editing. YM: Formal Analysis, Writing&#x2013;review and editing. SQ: Investigation, Validation, Visualization, Writing&#x2013;original draft. HC: Investigation, Writing&#x2013;review and editing. FL: Investigation, Writing&#x2013;review and editing. SM: Investigation, Validation, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This research was funded by the Inner Mongolia Autonomous Region &#x201c;Unveiling the List of Commanders&#x201d; Programme grant number 2024JBGS0023, the Inner Mongolia Autonomous Region Science and Technology Programme grant number 2021GG0070, the Inner Mongolia Autonomous Region Water Resources Department Financial Special grant number WH-1833-ZHJC-FW, and the Inner Mongolia Autonomous Region Water Conservancy Development Center Project Programme grant number BHZB-FW-202403036.</p>
</sec>
<ack>
<p>We thank LetPub (<ext-link ext-link-type="uri" xlink:href="http://www.letpub.com.cn/">www.letpub.com.cn</ext-link>) for its linguistic assistance during the preparation of this manuscript.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>Author FL was employed by National Energy Pingzhuang Coal Industry Mengdong Energy Holding Co., Ltd.</p>
<p>The remaining 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 sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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