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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2025.1629542</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Quantifying the impacts of diverse vegetation-covered patterns on hillslope soil erosion: a case experiment of alfalfa-covered hillslopes</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yao</surname>
<given-names>Chong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3068296/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Qingwei</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Kebing</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Shige</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Ming</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Gu</surname>
<given-names>Zhijia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1862734/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
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<contrib contrib-type="author">
<name>
<surname>Yan</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Faqi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>North-South Transitional Zone Typical Vegetation Phenology Observation and Research Station of Henan Province, School of Geographic Sciences, Xinyang Normal University</institution>, <addr-line>Xinyang, Henan</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Country College of Soil and Water Conservation Science and Engineering, Northwest A&amp;F University</institution>, <addr-line>Xianyang, Shaanxi</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>China Railway Siyuan Survey and Design Group Co., Ltd.</institution>, <addr-line>Wuhan, Hubei</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/931965/overview">Jianhua Xiao</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1724430/overview">Yingjun Pang</ext-link>, Chinese Academy of Forestry, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1841703/overview">Chong Jiang</ext-link>, Guangdong Academy of Science (CAS), China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Chong Yao, <email xlink:href="mailto:cyaoxm@163.com">cyaoxm@163.com</email>; Faqi Wu, <email xlink:href="mailto:wufaqi@263.net">wufaqi@263.net</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1629542</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Yao, Zhang, Chen, Zhang, Zhu, Gu, Yan and Wu.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Yao, Zhang, Chen, Zhang, Zhu, Gu, Yan and Wu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>The discrepancies in near-soil-surface hydrologic processes triggered by herbage spatial distribution pattern greatly influence the variation in hillslope erosion process. However, knowledge about the influence of herbage spatial distribution pattern on hillslope erosion is still limited.</p>
</sec>
<sec>
<title>Methods</title>
<p>In the current study, runoff plots (length &#xd7; width &#xd7; depth, 2 &#xd7; 1 &#xd7; 0.5 m) with slope gradient of 8.75%&#x2013;36.40% and a side-spray rainfall simulator with rainfall intensity of 90 mm h<sup>-1</sup> were adopted to rainfall simulation. Four herbage spatial distribution patterns with vegetation coverage of 50% (US, upper hillslopes; MS, middle hillslopes; LS, downstream hillslopes; and SS, equally spaced planting) and bare soil (CK) were arranged to quantify the response of hillslope erosion process to alfalfa spatial distribution pattern.</p>
</sec>
<sec>
<title>Results</title>
<p>The results indicated that the initial runoff generation time followed the order of CK, US, MS, LS, and SS. Compared with CK, the mean runoff rate and sediment yield rate for alfalfa-covered hillslopes decreased by 7.18% to 83.77% and 12.62% to 85.69%, and sediment concentration decreased by 0.26 to 2.22 g L<sup>-1</sup>. The sediment reduction benefits (SRB) and runoff reduction benefits (RRB) followed the order of SS, LS, MS, and US. The average infiltration rates for CK and alfalfa-covered hillslopes with slope gradient of 8.75%&#x2013;36.40% were 0.17 to 0.50 and 0.28 to 1.35 mm m<sup>-2</sup> min<sup>-1</sup>, respectively.</p>
</sec>
<sec>
<title>Discussion</title>
<p>As the results of shielding and protection effect of alfalfa, initial runoff generation time was delayed, infiltration rate was enhanced, and runoff and sediment yield rates were reduced; thus, soil loss was lowered on alfalfa-covered hillslopes. The research provided scientific reference for understanding the anti-erosion of herbage spatial distribution pattern and theoretical guidance for formulating soil and water conservation planning.</p>
</sec>
</abstract>
<kwd-group>
<kwd>soil erosion</kwd>
<kwd>alfalfa-cover hillslopes</kwd>
<kwd>rainfall simulation</kwd>
<kwd>RRB and SRB</kwd>
<kwd>the Loess Plateau</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="2"/>
<equation-count count="5"/>
<ref-count count="79"/>
<page-count count="13"/>
<word-count count="6530"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Sustainable and Intelligent Phytoprotection</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The frequent occurrence of soil erosion has severely constrained improvements in the ecological environment, human settlements, and high-quality development (<xref ref-type="bibr" rid="B32">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B38">Montgomery, 2007</xref>; <xref ref-type="bibr" rid="B46">Quinton et&#xa0;al., 2010</xref>). Natural factors such as loose soil and uneven precipitation, coupled with intense human activities, have made the Loess Plateau a significant source of soil erosion in China (<xref ref-type="bibr" rid="B32">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B78">Zhu et&#xa0;al., 2024</xref>). The implementation of the Grain for Green Program has significantly increased the vegetation cover in the Loess Plateau and improved the local ecological environment (<xref ref-type="bibr" rid="B20">Huang et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B64">Yang et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B67">Yibin et&#xa0;al., 2024</xref>). However, the regional environment carrying capacity is limited, and finite water and soil resources are insufficient to support vegetation cover across the entire area, particularly in arid and semi-arid regions (<xref ref-type="bibr" rid="B8">Chen et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B14">Feng et&#xa0;al., 2016</xref>). Selecting appropriate vegetation species and establishing rational and efficient vegetation cover pattern are crucial to enhance the ecological functioning of vegetation in the Loess Plateau. Therefore, research on the relationship between vegetation spatial distribution patterns and soil erosion in fragile ecological regions has become a prominent topic and a critical scientific issue that urgently requires resolution.</p>
<p>Vegetation cover has demonstrated good erosion prevention function through the combined effects of canopy interception, litter water storage, and rainfall energy dissipation (<xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B48">Van Dijk and Bruijnzeel, 2001</xref>; <xref ref-type="bibr" rid="B68">Yubonchit et&#xa0;al., 2025</xref>). As a result of the excellent erosion prevention provided by grassland vegetation, soil erosion rate in grasslands has been found to be lower than those in croplands (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B70">Zhang et&#xa0;al., 2024a</xref>). The vegetation canopy mitigates the effect of rainfall impact through rainfall redistribution and its shielding (<xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B58">Wang et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B74">Zhang et&#xa0;al., 2024b</xref>). Vegetation cover is a critical indicator affecting hillslope erosion, with studies showing that 50% of vegetation cover could effectively decrease soil and water loss (<xref ref-type="bibr" rid="B79">Zi et&#xa0;al., 2024</xref>). <xref ref-type="bibr" rid="B76">Zheng et&#xa0;al. (2021)</xref> found that grass cover could reduce sediment by 97.84% to 98.81% and runoff by 47.28% to 82.12%. Vegetation cover could reduce hillslope soil erosion by prolonging the initial runoff time and increasing infiltration (<xref ref-type="bibr" rid="B29">Lin et&#xa0;al., 2019</xref>).</p>
<p>Differences in vegetation spatial distribution patterns may exert varying regulatory effects on runoff and on sediment (<xref ref-type="bibr" rid="B12">Entezami et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B79">Zi et&#xa0;al., 2024</xref>). Vegetation spatial distribution pattern refers to the spatial configuration of vegetation with varying quantities, sizes, and types within a region. Vegetation pattern influences the water&#x2013;sediment relationship on hillslopes with varying degrees (<xref ref-type="bibr" rid="B11">Dupuy et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B45">Puigdef&#xe1;bregas, 2005</xref>; <xref ref-type="bibr" rid="B77">Zheng et&#xa0;al., 2022</xref>). Vegetation patterns regulate the hillslope erosion process by affecting hydrological connectivity and the sediment transport capacity (<xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>). Patch-scale observational studies have found that a smaller plot has greater hydrologic disconnection and lower runoff energy (<xref ref-type="bibr" rid="B5">Boix-Fayos et&#xa0;al., 2007</xref>). An increase in vegetation pattern coarseness has been associated with higher hillslope runoff and sediment yield, while greater vegetation patch density tends to reduce the runoff. Aggregated vegetation patches demonstrate a stronger capacity to retain soil particles as the degree of aggregation increases (<xref ref-type="bibr" rid="B4">Bautista et&#xa0;al., 2007</xref>). <xref ref-type="bibr" rid="B72">Zhang et&#xa0;al. (2014)</xref> found that <italic>Artemisia capillaris</italic> with distribution patterns of chessboard, strips, and long strips could effectively reduce soil erosion. <xref ref-type="bibr" rid="B13">Feng et&#xa0;al. (2018)</xref> conducted rainfall experiments with six planting patterns and found that adjusting the planting position of vegetation could effectively reduce water erosion. Although some research investigated erosion prevention for varying vegetation patterns, most have focused on total soil erosion, with limited attention given to the dynamic process involved. Therefore, further research is needed to explore the interactions between vegetation spatial patterns and hillslope erosion process.</p>
<p>Vegetation is a typically distributed patch form within bare or sparse areas (<xref ref-type="bibr" rid="B4">Bautista et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B13">Feng et&#xa0;al., 2018</xref>). The vegetation spatial distribution pattern regulates soil erosion by influencing soil properties and hydrological processes (<xref ref-type="bibr" rid="B25">Levia and Frost, 2003</xref>; <xref ref-type="bibr" rid="B45">Puigdef&#xe1;bregas, 2005</xref>; <xref ref-type="bibr" rid="B57">Wang et&#xa0;al., 2024a</xref>). Notable differences exist between bare land and vegetation-covered areas in terms of soil properties. Root exudates and interpenetration and fixation of vegetation roots improve soil organic matter, aggregate stability, and permeability (<xref ref-type="bibr" rid="B16">Ghestem et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B41">Nardi et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B45">Puigdef&#xe1;bregas, 2005</xref>). Plant roots supply necessary nutrients for growth and contribute significantly to soil development and improving the soil anti-erosion ability (<xref ref-type="bibr" rid="B10">De Baets et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B40">Nardi et&#xa0;al., 2000</xref>, <xref ref-type="bibr" rid="B41">2002</xref>; <xref ref-type="bibr" rid="B63">Yang et&#xa0;al., 2024</xref>). <xref ref-type="bibr" rid="B36">Loades et&#xa0;al. (2010)</xref> conducted shear tests on barley root soil with different planting densities and indicated that soil shear strength with barley root increased by an average of 53%. Changes in soil properties, when covered by vegetation patches, result in lower runoff and sediment yields than in bare areas (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B71">Zhang et&#xa0;al., 2019</xref>). In addition, hydrological processes such as re-infiltration and sediment interception must be considered (<xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B45">Puigdef&#xe1;bregas, 2005</xref>; <xref ref-type="bibr" rid="B72">Zhang et&#xa0;al., 2014</xref>). Vegetation patterns with high patch density intercept surface flow and increase the chance of re-infiltration (<xref ref-type="bibr" rid="B24">Leung et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B49">Vinatier et&#xa0;al., 2024</xref>). In contrast, the extent of bare soil is larger under low patch density, physical crust formation is more likely, and hydrological connectivity is enhanced, thereby reducing infiltration (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B53">Wang et&#xa0;al., 2022b</xref>). Without the shielding and protection of vegetation, surface runoff tends to have higher velocity, resulting in higher sediment concentrations (<xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B30">Lin et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B74">Zhang et&#xa0;al., 2024b</xref>).</p>
<p>Soil erosion on the Loess Plateau is characterized by diverse erosion types and uneven temporal and spatial distribution (<xref ref-type="bibr" rid="B32">Liu et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B51">Wang et&#xa0;al., 2014</xref>). The effects of land use, field crops, agriculture practice, and vegetation restoration on hillslope erosion in arid and semi-arid areas have been widely investigated (<xref ref-type="bibr" rid="B14">Feng et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B30">Lin et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B46">Quinton et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B71">Zhang et&#xa0;al., 2019</xref>, <xref ref-type="bibr" rid="B74">2024b</xref>). Alfalfa, a typical forage crop on the Loess Plateau, exhibits strong adaptability, rapid growth, high biomass, and strong nitrogen-fixing ability. It has been shown to effectively control soil erosion and improve soil fertility, offering good economic and ecological benefits (<xref ref-type="bibr" rid="B62">Xiao et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B65">Yao et&#xa0;al., 2023a</xref>). However, the effect of alfalfa on soil erosion process on varying slopes has rarely been quantified, and the effect of alfalfa with different spatial distribution patterns on variation in hillslope erosion process remains poorly understood. Therefore, the aims of this study were to (1) explore the variation in soil erosion process with different spatial alfalfa distribution patterns, (2) quantify the RRB and SRB on hillslopes planted with alfalfa, and (3) analyze the causes of differences in soil erosion among different alfalfa spatial distribution patterns.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area</title>
<p>The Loess Plateau (33&#xb0;41&#x2032;&#x2013;41&#xb0;16&#x2032; N, 100&#xb0;52&#x2032;&#x2013;114&#xb0;33&#x2032; E) is located in northwest China, approximately 640,000 km<sup>2</sup>. The terrain of the Loess Plateau is dominated by hill and gully landscapes, with slope gradients mostly ranging from 24.9% to 53.2% (<xref ref-type="bibr" rid="B29">Lin et&#xa0;al., 2019</xref>). The Loess Plateau has a warm temperate continental monsoon climate, with precipitation and temperature decreasing from southeast to northwest. The annual average temperature ranges from 6&#xb0;C to 14&#xb0;C, and the annual average precipitation is 200&#x2013;700 mm, with most rainfall occurring from July to September (<xref ref-type="bibr" rid="B65">Yao et&#xa0;al., 2023a</xref>). The soil is characterized by fine particles, soft texture, and abundant mineral nutrients, making it conducive to farming. However, its porous, loose, and poor structure, developed vertical joints, and high water permeability, combined with frequent summer rainstorms, have led to severe soil erosion. The test soil is collected from a local abandoned farmland with clay, silt, sand, and soil organic matter contents of 28.2%, 41.6%, 30.2%, and 19.17 g kg<sup>&#x2013;1</sup>, respectively.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Rainfall device</title>
<p>A side-spray rainfall simulator was used in the current experiment, developed by the Institute of Soil and Water Conservation, Chinese Academy of Sciences (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1a</bold>
</xref>), which has been widely used for rainfall simulation. The rainfall system consisted of two side-spray nozzles (5.0&#x2013;12.0 mm), two brackets (7.5 m), two pressure gauges (0.10&#x2013;0.15 MPa), a water pump (2.2 kW), a water tank (length of 4.0 m, width of 2.5 m, and depth of 2.5 m), and a water supply pipe (inner diameter of 48 mm). The nozzles were installed at the top of the brackets with a spray height of 1 m. The rainfall height of the rainfall simulator is 7.5 m, ensuring that raindrops reached near-terminal velocity. The effective rainfall area is 7 m &#xd7; 5 m, with a rainfall uniformity of over 85%. The rainfall intensity with a range of 30&#x2013;140 mm h<sup>&#x2013;1</sup> and raindrop diameter of 0.17&#x2013;3.61 mm can be adjusted by regulating the water pressure control valve and replacing the nozzle gaskets. Before rainfall simulation, the rainfall intensity was calibrated to meet the experiment&#x2019;s requirements.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Side-spray rainfall simulator <bold>(a)</bold>, runoff plots <bold>(b)</bold>, and diagram of vegetation spatial distribution pattern <bold>(c)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g001.tif">
<alt-text content-type="machine-generated">Diagram depicting an irrigation system and three sets of images: (a) a schematic showing a water tank, water pump, pipes, and two side-spray nozzles on tripods with piezometers and control valves; (b) four photos of a slanting planter box with greenery; (c) diagrams indicating different slope planting configurations labeled US, MS, LS, and SS.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Experiment designs</title>
<p>Rainfall simulation experiments were conducted at the Hydraulic Engineering Laboratory of Northwest A&amp;F University, Shaanxi, China. Soil boxes (length of 2.0 m, width of 1.0 m, and depth of 0.5 m) were used for alfalfa planting and rainfall simulation. The test soil was collected from the top 0&#x2013;20 cm of the arable layer of a local farmland in Yangling. The collected soil was air-dried and screened by using a 10-mm screen to eliminate the effect of root and other impurities. A 4-cm-thick layer of fine sand was placed at the bottom of the soil box to simulate natural drainage conditions. A porous jute sheet was used to separate the sand and soil layers. The soil was filled into the boxes in layers to achieve a bulk density of 1.25 g cm<sup>-3</sup>, based on field measurements in the local farmland. To ensure continuity between layers, each layer was gently scraped before adding the next. After filling, the soil was left under natural conditions for 30 days to simulate a natural soil state.</p>
<p>The experimental grass species was annual alfalfa, a typical forage on the Loess Plateau, which was sown at the end of April 2022. Soil boxes not planted with alfalfa were designed as bare soil control (CK). To explore the impact of vegetation spatial distribution patterns on hillslope erosion, four different vegetation pattern types with 50% vegetation cover were established: planting at the downstream hillslopes (LS), at the middle hillslopes (MS), and at the upper hillslopes (US) and equally spaced planting (SS) (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1b</bold>
</xref>). To ensure the hillslope vegetation coverage and different spatial alfalfa distribution patterns, the prepared soil boxes were divided into several soil plots (length &#xd7; width, 0.2 m &#xd7; 0.2 m). The grass seeds were evenly sown at specific positions on the hillslopes, and then the grass seeds were evenly mixed with the topsoil. Rainfall simulation experiments were conducted at the alfalfa podding stage. The planting area in all four vegetation spatial distribution patterns was kept the same, accounting for 50% of the entire hillslope area, ensuring consistent alfalfa coverage across all treatments. According to landform types of the Loess Plateau, the experimental runoff plots were established with four slope gradients of 8.75%, 17.63%, 26.80%, and 36.40% (<xref ref-type="bibr" rid="B29">Lin et&#xa0;al., 2019</xref>). Based on the long-term rainfall characteristics of the study area, a rainfall intensity of 90 mm h<sup>&#x2013;1</sup> was applied, with a simulation duration of 60 min.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Measurement of soil erosion indicator</title>
<p>After adjusting the rainfall intensity and slope gradient, the rainfall simulation experiment was initiated, and the soil erosion process was observed and recorded. The initial time to runoff was recorded, and the sediment samples were collected every 3 min using plastic buckets. The collected sediment samples were weighed, left to settle for 24 h, the supernatant was dropped, and then the sediment was dried at 105&#xb0;C for 24 h before recording the dry weight. The runoff volume was calculated as the total mass of sediment and runoff minus the dry mass of sediment. Assuming constant rainfall intensity throughout the experiment, infiltration was estimated as the difference between total precipitation and runoff. In this study, the variables used to characterize the soil erosion process are initial time to runoff (<italic>TR</italic>), runoff rate (<italic>RR</italic>), sediment yield rate (<italic>SR</italic>), and infiltration rate (<italic>RR</italic>). These variables were calculated as follows (<xref ref-type="disp-formula" rid="eq1">Equations 1</xref>&#x2013;<xref ref-type="disp-formula" rid="eq3">3</xref>):</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
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</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>R</mml:mi>
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</mml:mrow>
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</mml:mfrac>
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</disp-formula>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
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<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>SR</italic>, <italic>Se</italic>, <italic>s</italic>, <italic>t</italic>, <italic>RR</italic>, <italic>Rn</italic>, <italic>ST</italic>, <italic>IR</italic>, <italic>IT</italic>, <italic>RT</italic>, and <italic>Ri</italic> are the sediment yield rate (g m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>), dry mass of collected sediment (g), runoff plot area (m<sup>2</sup>), sampling time (min), runoff rate (L m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>), runoff volume (L), mass of the collected sediment samples (g), infiltration rate (mm m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>), total infiltration amount (mm), total precipitation (mm), and runoff depth (mm), respectively. The runoff and sediment reduction benefits for alfalfa-covered hillslopes were calculated as follows (<xref ref-type="disp-formula" rid="eq4">Equations 4</xref>&#x2013;<xref ref-type="disp-formula" rid="eq5">5</xref>):</p>
<disp-formula id="eq4">
<label>(4)</label>
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<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
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</disp-formula>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
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</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>RRB</italic>, <italic>R<sub>ck</sub>
</italic>, <italic>R<sub>i</sub>
</italic>, <italic>SRB</italic>, <italic>S<sub>ck</sub>
</italic>, and <italic>S<sub>i</sub>
</italic> are the runoff reduction benefits, runoff volume for CK, runoff volume for alfalfa-covered hillslopes with different spatial distribution patterns, sediment reduction benefits, sediment yield for CK, and sediment yield for alfalfa-covered hillslopes with different spatial distribution patterns, respectively.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>The variability of initial runoff generation time</title>
<p>The variation in initial runoff generation time for CK and alfalfa-covered hillslopes is shown in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>. On the slope gradient of 8.75%&#x2013;36.40%, the initial runoff generation time for CK and alfalfa-covered hillslopes with US, MS, LS, and SS pattern was 2.50 to 8.08, 2.90 to 8.80, 3.25 to 9.03, 6.10 to 9.65, and 7.80 to 11.50 min, respectively. The initial runoff generation time for the US, MS, LS, and SS alfalfa-covered hillslopes was delayed in comparison to CK. The initial runoff generation time with slope gradient of 17.63% to 36.40% for CK US, MS, LS, and SS patterns was advanced at 1.00 to 5.58, 1.30 to 5.90, 1.50 to 5.78, 1.50 to 3.55, and 1.35 to 3.70 min compared with those for the slope gradient of 8.75%, respectively, indicating that the initial runoff generation time was advanced with increasing slope gradient.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Variation in initial time to runoff with hillslope treatment and slope gradients.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g002.tif">
<alt-text content-type="machine-generated">Bar chart showing initial time to runoff in minutes for different hillslope treatments: CK, US, MS, LS, SS. Red, green, blue, and cyan bars represent percentages 8.75, 17.63, 26.80, and 36.40 respectively. Values for each treatment vary between approximately 3 to 11 minutes.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>The variation in soil erosion process</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>Runoff rate</title>
<p>The runoff rates for CK and alfalfa-covered hillslopes are shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>, although the runoff rate on SS alfalfa-covered hillslopes with slope gradient of 8.75% and 17.63% showed a gradual increase without reaching a stable state during the entire rainfall. Overall, the runoff rate increased rapidly at first and was followed by stable fluctuations. For CK and alfalfa-covered hillslopes with slope gradient of 8.75%, 17.63%, 26.80%, and 36.40%, it took 17.08&#x2013;39.65, 16.67&#x2013;30.05, 12.50&#x2013;24.15, and 11.50&#x2013;22.80 min from the rainfall beginning to stable fluctuations in the runoff rate, respectively. The results indicated that the increase in slope gradient led to a more rapid transition from the initial increase in runoff rate to a stable state. While alfalfa cover delayed this transition, the SS pattern had the most significant delay effect.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Variation in runoff rate with rainfall duration and slope gradient of 8.75%, 17.63%, 26.80%, and 36.40%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g003.tif">
<alt-text content-type="machine-generated">Four line graphs display runoff rates over rainfall duration for various treatments labeled CK, US, MS, LS, and SS. Each graph corresponds to different percentages: 8.75%, 17.63%, 26.80%, and 36.40%. Runoff generally increases initially, then stabilizes over time, with CK consistently having the highest runoff rate.</alt-text>
</graphic>
</fig>
<p>Additionally, the average runoff rate was clearly affected by the slope gradient and vegetation spatial distribution patterns. At a slope gradient of 8.75%, the average runoff rates for CK, US, MS, LS, and SS were 1.09, 0.84, 0.71, 0.48, and 0.18 L m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, respectively. At a slope gradient of 36.40%, the corresponding values were 1.24, 1.15, 1.11, 0.97, and 0.72 L m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, respectively. Compared with CK, the average runoff rate for alfalfa-covered hillslopes at slope gradients of 8.75%, 17.63%, 26.80%, and 36.40% decreased by 22.91% to 83.77%, 16.85% to 69.27%, 11.06% to 50.79%, and 7.18% to 41.82%, respectively. These changes indicated that alfalfa cover could weaken the runoff rate, but the weakening effect decreased with slope gradient and differed with alfalfa spatial distribution patterns, with the SS pattern showing the best weakening effect.</p>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>Sediment yield rate</title>
<p>The variability of sediment yield rate with rainfall duration for CK and alfalfa-covered plots is illustrated in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>. Generally, the sediment yield rate increased rapidly with rainfall duration until reaching a peak, followed by a gradual decline. However, in the SS alfalfa-covered plots with slope gradients of 8.75% and 17.63%, the sediment yield rate gradually increased, without reaching a peak throughout the rainfall period. CK and alfalfa-covered hillslopes with slope gradients of 8.75%, 17.63%, 26.80%, and 36.40% took 17.08&#x2013;27.65, 16.67&#x2013;21.05, 9.50&#x2013;21.15, and 11.50&#x2013;19.80 min from the rainfall beginning to reach the peak sediment yield rates, respectively. These results indicated that increasing the slope gradient accelerated the attainment of peak sediment yield rate, but alfalfa coverage delayed this process.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Variation in sediment yield rate with rainfall duration and slope gradient of 8.75%, 17.63%, 26.80%, and 36.40%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g004.tif">
<alt-text content-type="machine-generated">Four line graphs depict sediment yield rate against rainfall duration across different conditions: CK, US, MS, LS, and SS. Each graph shows a peak in sediment yield rate around 10 to 20 minutes, followed by a decline. Different percentages&#x2014;8.75%, 17.63%, 26.80%, and 36.40%&#x2014;are noted on each of the graphs, likely indicating variations in conditions or treatments.</alt-text>
</graphic>
</fig>
<p>Furthermore, the average and peak sediment yield rates showed obvious variations among different alfalfa spatial distribution patterns. The average sediment yield rate for CK and alfalfa-covered hillslopes with slope gradients of 8.75%, 17.63%, 26.80%, and 36.40% ranged from 1.50 to 10.4, 3.05 to 10.91, 6.53 to 14.04, and 10.93 to 21.32 g m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, respectively. The corresponding peak sediment yield rates ranged from 10.74 to 22.09, 14.82 to 22.7, 13.04 to 25.56, and 19.62 to 45.35 g m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, respectively. Compared with CK, the average and peak sediment yield rates on alfalfa-covered hillslopes decreased by 12.62% to 85.69% and 11.47% to 56.73%, respectively. These changes in average and peak sediment yield rates indicated that alfalfa coverage altered the sediment generation process to varying extents, with the SS pattern showing the most pronounced reduction. The slope gradient was also a key factor influencing sediment generation. The steeper slope resulted in higher sediment yield rates, with sediment yield rate reaching the peak more quickly.</p>
</sec>
<sec id="s3_2_3">
<label>3.2.3</label>
<title>Infiltration rate</title>
<p>
<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref> illustrates the variation in infiltration rates with rainfall duration for CK and alfalfa-covered hillslopes. Across CK and alfalfa-covered hillslopes, infiltration rates initially remained high during the early stages and then gradually decreased with rainfall duration, except for the SS with slope gradient of 8.75% and 17.63%, which maintained higher infiltration rates. The average infiltration rates for CK and US, MS, LS, and SS alfalfa-covered hillslopes ranged from 0.17 to 0.50, 0.28 to 0.74, 0.32 to 0.86, 0.32 to 1.05, and 0.79 to 1.35 mm m<sup>-2</sup> min<sup>-1</sup>, respectively. Compared with CK, the average infiltration rates on US, MS, LS, and SS hillslopes increased by 40.49%&#x2013;60.00%, 62.53%&#x2013;83.43%, 93.06&#x2013;196.67%, and 150.93%&#x2013;355.86%, respectively, indicating that vegetation cover significantly increased the infiltration rate. On US alfalfa-covered hillslopes, the average infiltration rates at slope gradients of 8.75%, 17.63%, 26.80%, and 36.40% were 0.74, 0.63, 0.42, and 0.28 mm m<sup>-2</sup> min<sup>-1</sup>, respectively. Overall, the infiltration rates followed the descending order SS, LS, MS, US, and CK and decreased with increasing slope gradient.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Variation in infiltration rate with rainfall duration and slope gradient of 8.75%, 17.63%, 26.80%, and 36.40%.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g005.tif">
<alt-text content-type="machine-generated">Four line graphs displaying infiltration rates (mm/min) versus rainfall duration (minutes) for different treatments: CK (black squares), US (red circles), MS (blue triangles), LS (green inverted triangles), and SS (cyan diamonds). Each plot represents a different percentage: 8.75%, 17.63%, 26.79%, and 36.40%. Infiltration rates generally decrease with rainfall duration across all treatments, with SS showing the highest rates and CK the lowest.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>The runoff and sediment reduction benefits</title>
<p>
<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> illustrates the total runoff volume, total sediment yield, total infiltration, and sediment concentration for CK and alfalfa-covered hillslopes. The total runoff volume, total sediment yield, and sediment concentration increased with slope gradient and followed the order CK, US, MS, LS, and SS. However, the total infiltration decreased with slope gradient and followed the order SS, LS, MS, US, and CK. Meanwhile, compared with CK, total runoff, sediment yield, and sediment concentration on alfalfa-covered hillslopes decreased by 5.33 to 49.89 L m<sup>&#x2013;</sup>&#xb2;, 115.09 to 657.49 g m<sup>&#x2013;</sup>&#xb2;, and 0.26 to 2.22 g L<sup>&#x2013;1</sup>, respectively, and total infiltration increased by 6.27 to 50.71 mm<sup>&#x2013;2</sup>. These findings clearly indicated that alfalfa vegetation significantly enhanced soil infiltration while reducing surface runoff, sediment yield, and sediment concentration. <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> presents the runoff reduction benefit (RRB) and sediment reduction benefit (SRB) of alfalfa-covered hillslopes. Both RRB and SRB decreased with increasing slope gradient and varied with the spatial distribution pattern of vegetation. For alfalfa-covered hillslopes, the RRB with slope gradient of 8.75% was 1.92&#x2013;3.19 times than that for slope gradient of 36.40%, while the SRB with slope gradient of 8.75% was 1.68&#x2013;2.34 times than that at 36.40%. Among the different distribution patterns, the SS configuration consistently showed the highest RRB and SRB, whereas the US pattern was relatively poor.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Variation in total infiltration <bold>(a)</bold>, runoff volume <bold>(b)</bold>, sediment yield <bold>(c)</bold>, and sediment concentration <bold>(d)</bold> for different hillslope treatment.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g006.tif">
<alt-text content-type="machine-generated">Four bar graphs labeled a to d compare different hillslope treatments (CK, US, MS, LS, SS) across variables: (a) Total infiltration in millimeters per square meter, (b) Runoff volume in liters per square meter, (c) Sediment yield in grams per square meter, and (d) Sediment concentration in grams per liter. Each graph has bars in red, green, blue, and cyan representing percentages: 8.75, 17.63, 26.80, and 36.40 respectively. The height of the bars varies across treatments and variables.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Runoff and sediment reduction benefits for alfalfa-covered hillslopes at different slope gradients.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">
</th>
<th valign="middle" colspan="4" align="center">RRB (%)</th>
<th valign="middle" colspan="4" align="center">SRB (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Vegetation spatial distribution patterns</td>
<td valign="middle" align="center">8.75%</td>
<td valign="middle" align="center">17.63%</td>
<td valign="middle" align="center">26.80%</td>
<td valign="middle" align="center">36.40%</td>
<td valign="middle" align="center">8.75%</td>
<td valign="middle" align="center">17.63%</td>
<td valign="middle" align="center">26.80%</td>
<td valign="middle" align="center">36.40%</td>
</tr>
<tr>
<td valign="middle" align="center">US</td>
<td valign="middle" align="center">22.91</td>
<td valign="middle" align="center">16.85</td>
<td valign="middle" align="center">11.06</td>
<td valign="middle" align="center">7.19</td>
<td valign="middle" align="center">25.01</td>
<td valign="middle" align="center">19.54</td>
<td valign="middle" align="center">16.60</td>
<td valign="middle" align="center">12.62</td>
</tr>
<tr>
<td valign="middle" align="center">MS</td>
<td valign="middle" align="center">35.10</td>
<td valign="middle" align="center">25.61</td>
<td valign="middle" align="center">11.39</td>
<td valign="middle" align="center">9.73</td>
<td valign="middle" align="center">37.77</td>
<td valign="middle" align="center">28.17</td>
<td valign="middle" align="center">20.57</td>
<td valign="middle" align="center">16.14</td>
</tr>
<tr>
<td valign="middle" align="center">LS</td>
<td valign="middle" align="center">53.95</td>
<td valign="middle" align="center">38.71</td>
<td valign="middle" align="center">29.12</td>
<td valign="middle" align="center">24.83</td>
<td valign="middle" align="center">55.52</td>
<td valign="middle" align="center">40.92</td>
<td valign="middle" align="center">33.33</td>
<td valign="middle" align="center">31.79</td>
</tr>
<tr>
<td valign="middle" align="center">SS</td>
<td valign="middle" align="center">84.67</td>
<td valign="middle" align="center">67.35</td>
<td valign="middle" align="center">52.86</td>
<td valign="middle" align="center">44.20</td>
<td valign="middle" align="center">86.48</td>
<td valign="middle" align="center">71.19</td>
<td valign="middle" align="center">56.46</td>
<td valign="middle" align="center">51.40</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>RRB, runoff reduction benefits; SRB, sediment reduction benefits.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s4_1">
<label>4.1</label>
<title>Effect of alfalfa covers on soil erosion</title>
<p>In the current study, alfalfa-covered hillslopes exhibited good benefits in reducing soil erosion compared with CK. This indicated that plant-covered hillslopes could enhance soil infiltration, thereby reducing runoff volume and concentrated flow scouring, ultimately achieving the objective of mitigating soil erosion (<xref ref-type="bibr" rid="B22">Lamm and Manges, 2000</xref>; <xref ref-type="bibr" rid="B25">Levia and Frost, 2003</xref>; <xref ref-type="bibr" rid="B48">Van Dijk and Bruijnzeel, 2001</xref>). The anti-erosion effect of alfalfa-covered hillslopes was primarily achieved through the canopy, root system, and variation in soil properties (<xref ref-type="bibr" rid="B16">Ghestem et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B25">Levia and Frost, 2003</xref>; <xref ref-type="bibr" rid="B40">Nardi et&#xa0;al., 2000</xref>). The alfalfa canopy decreased the rainfall intensity by redistributing the precipitation to increase stem flow and canopy interception (<xref ref-type="bibr" rid="B48">Van Dijk and Bruijnzeel, 2001</xref>), thus reducing the direct raindrops&#x2019; impact on the soil surface and minimizing soil aggregation disruption (<xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B79">Zi et&#xa0;al., 2024</xref>). Additionally, the presence of vegetation increased the surface roughness, which further reduced the overland flow velocity and mitigated the soil detachment and sediment transport by flowing water (<xref ref-type="bibr" rid="B26">Li et&#xa0;al., 2024a</xref>; <xref ref-type="bibr" rid="B66">Yao et&#xa0;al., 2023b</xref>). In this study, compared with CK, the total runoff volume and sediment yield on alfalfa-covered hillslopes decreased by 7.19% to 84.67% and 12.62% to 86.48%, respectively. <xref ref-type="bibr" rid="B79">Zi et&#xa0;al. (2024)</xref> reported that the runoff depth and sediment yields for bare soil were 1.19 to 1.64 times and 1.92 to 3.16 times those of hillslopes covered with 50% Nostoc commune, respectively. The difference in benefits in reducing runoff and sediment might be attributed to variations among plant species and herbage spatial distribution patterns (<xref ref-type="bibr" rid="B10">De Baets et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B65">Yao et&#xa0;al., 2023a</xref>).</p>
<p>The preventive and mitigating efficiency of root systems on soil erosion was primarily manifested through physical consolidation and chemical bonding (<xref ref-type="bibr" rid="B17">Gyssels et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B50">Wang and Zhang, 2017</xref>; <xref ref-type="bibr" rid="B65">Yao et&#xa0;al., 2023a</xref>). The chemical bonding by root systems primarily involved sugars, enzymes, and other organic compounds, which promoted the formation and stabilization of soil organic matter and soil aggregates, thereby enhancing soil stability (<xref ref-type="bibr" rid="B2">Atere et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B23">Le Bissonnais et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B40">Nardi et&#xa0;al., 2000</xref>). Meanwhile, soil particles were adsorbed by the roots, forming root&#x2013;soil composites and enhancing soil erosion resistance (<xref ref-type="bibr" rid="B12">Entezami et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B16">Ghestem et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B63">Yang et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B75">Zhao et&#xa0;al., 2024</xref>). Additionally, the roots physically intertwined and compressed the soil, forming a network structure that improved soil stability, shear strength, and infiltration capacity (<xref ref-type="bibr" rid="B47">Song et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B52">Wang et&#xa0;al., 2022a</xref>, <xref ref-type="bibr" rid="B57">2024a</xref>). In this study, compared with CK, the infiltration on alfalfa-covered hillslopes increased by 40.49% to 355.86%, demonstrating the role of root systems in improving soil permeability and infiltration. The finding of <xref ref-type="bibr" rid="B35">Liu et&#xa0;al. (2022b)</xref> indicated that the presence of <italic>Elymus tangutorum</italic> clearly increased the rainfall infiltration rate by 73% compared with CK. The difference in rainfall infiltration for alfalfa and <italic>Elymus tangutorum</italic> might be induced by different root types (<xref ref-type="bibr" rid="B10">De Baets et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B12">Entezami et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B17">Gyssels et&#xa0;al., 2005</xref>). In general, the taproot system and the fibrous root system exhibited different soil anti-erosion functions (<xref ref-type="bibr" rid="B23">Le Bissonnais et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B50">Wang and Zhang, 2017</xref>).</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Fluctuation variation in the soil erosion process</title>
<sec id="s4_2_1">
<label>4.2.1</label>
<title>Infiltration rate</title>
<p>In the current study, the infiltration rate showed a downward trend with rainfall duration, and the infiltration rate for alfalfa-covered hillslopes was obviously higher than that for CK (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>). This pattern might be attributed to the initially low soil moisture content and the relatively weak root water absorption capacity during the early rainfall period, while soil infiltration was primarily governed by initial moisture in the early rainfall period (<xref ref-type="bibr" rid="B18">Han et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B31">Lin et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B79">Zi et&#xa0;al., 2024</xref>). Consequently, the soil infiltration rate was relatively high, and differences between treatments were minimal. As the rainfall continued, the soil moisture content gradually increased and the roots began to absorb a large amount of water, making the infiltration rate for alfalfa-covered hillslopes higher than that for CK (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B55">Wang et&#xa0;al., 2023b</xref>). Meanwhile, the large amount of water was absorbed by the roots, and the water content in the soil pores rise rapidly, resulting in an increase in the proportion of soil pores filled with water, narrowing of the water flow channels, and an increase in infiltration resistance (<xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B52">Wang et&#xa0;al., 2022a</xref>, <xref ref-type="bibr" rid="B55">2023b</xref>).</p>
</sec>
<sec id="s4_2_2">
<label>4.2.2</label>
<title>Runoff rate</title>
<p>In the current study, the runoff rate generally showed an increasing trend firstly and then fluctuated stably with rainfall duration extension. During the rainfall process, the runoff volume was determined to some extent on the dynamic balance between precipitation and infiltration rate (<xref ref-type="bibr" rid="B3">Bahddou et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B24">Leung et&#xa0;al., 2017</xref>). At the early period of rainfall, the soil infiltration rate was higher, resulting in a lower runoff rate (<xref ref-type="bibr" rid="B31">Lin et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B49">Vinatier et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B54">Wang et&#xa0;al., 2023a</xref>; <xref ref-type="bibr" rid="B61">Wu et&#xa0;al., 2023</xref>). As rainfall continued, the soil gradually became saturated and soil crust was formed on the surface, which led to an increased conversion of precipitation into runoff and a corresponding rise in runoff volume (<xref ref-type="bibr" rid="B3">Bahddou et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2024a</xref>; <xref ref-type="bibr" rid="B35">Liu et&#xa0;al., 2022b</xref>). When the precipitation and soil infiltration reached a dynamic balance, the runoff generation process tended to be stable (<xref ref-type="bibr" rid="B53">Wang et&#xa0;al., 2022b</xref>, <xref ref-type="bibr" rid="B54">2023a</xref>). The variation coefficients of runoff rates across the entire rainfall process are illustrated in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. Overall, the variation coefficients for CK were lower than that for alfalfa-covered hillslopes, indicating a lower degree of runoff variability for CK. This difference was likely due to the presence of vegetation, which altered the runoff generation process (<xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B24">Leung et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B48">Van Dijk and Bruijnzeel, 2001</xref>). There were certain shielding and aggregation effects of vegetation cover on rainfall, resulting in a certain delay effect on runoff (<xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2024a</xref>; <xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B43">Oliveira et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B74">Zhang et&#xa0;al., 2024b</xref>). The aggregation effect of vegetation on rainfall broke the dynamic balance between soil infiltration and rainfall and caused certain fluctuations in runoff (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B68">Yubonchit et&#xa0;al., 2025</xref>).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Variation coefficients of runoff rate across the entire rainfall process for CK and alfalfa-covered hillslopes.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Slope gradient</th>
<th valign="middle" colspan="5" align="center">Vegetation spatial distribution patterns</th>
</tr>
<tr>
<th valign="middle" align="center">CK</th>
<th valign="middle" align="center">US</th>
<th valign="middle" align="center">MS</th>
<th valign="middle" align="center">LS</th>
<th valign="middle" align="center">SS</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">8.75%</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.31</td>
<td valign="middle" align="center">0.36</td>
<td valign="middle" align="center">0.49</td>
<td valign="middle" align="center">0.41</td>
</tr>
<tr>
<td valign="middle" align="center">17.63%</td>
<td valign="middle" align="center">0.30</td>
<td valign="middle" align="center">0.31</td>
<td valign="middle" align="center">0.33</td>
<td valign="middle" align="center">0.35</td>
<td valign="middle" align="center">0.50</td>
</tr>
<tr>
<td valign="middle" align="center">26.80%</td>
<td valign="middle" align="center">0.28</td>
<td valign="middle" align="center">0.28</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.32</td>
<td valign="middle" align="center">0.36</td>
</tr>
<tr>
<td valign="middle" align="center">36.40%</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.27</td>
<td valign="middle" align="center">0.29</td>
<td valign="middle" align="center">0.32</td>
<td valign="middle" align="center">0.36</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>CK, bare soil; US, upper hillslope planting; MS, middle hillslope planting; LS, downstream hillslopes planting; SS, equally spaced planting.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_2_3">
<label>4.2.3</label>
<title>Sediment yield rate</title>
<p>For alfalfa-covered and CK hillslopes, the sediment yield rate increased firstly and then decreased. Sediment sources on the hillslopes were composed of particles separated by raindrop splash and scouring by runoff (<xref ref-type="bibr" rid="B59">Wang et&#xa0;al., 2024c</xref>; <xref ref-type="bibr" rid="B73">Zhang et&#xa0;al., 2003</xref>). At the early period of rainfall, there were soil particles separated by raindrop splash, providing loose sediment for the runoff to carry (<xref ref-type="bibr" rid="B28">Li et&#xa0;al., 2024c</xref>; <xref ref-type="bibr" rid="B37">Lv et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B56">Wang et&#xa0;al., 2023c</xref>). However, due to the limited runoff during the initial phase, the sediment transport capacity was low, resulting in a relatively small sediment yield rate (<xref ref-type="bibr" rid="B21">Huang et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B44">Polyakov and Nearing, 2003</xref>; <xref ref-type="bibr" rid="B60">Wang et&#xa0;al., 2015</xref>). As rainfall persisted, both the runoff volume and its sediment transport capacity increased, leading to a rise in the sediment yield rate (<xref ref-type="bibr" rid="B1">Ali et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B39">Mu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B44">Polyakov and Nearing, 2003</xref>; <xref ref-type="bibr" rid="B69">Zambon et&#xa0;al., 2021</xref>). The increasing runoff depth reduced the kinetic energy of the raindrops&#x2019; impact, and scouring by flowing water was a main eroding force. Meanwhile, the soil surface pores were gradually filled with fine particles, forming a dense soil crust and leading to an increase in soil stability and anti-erosion ability (<xref ref-type="bibr" rid="B33">Liu et&#xa0;al., 2024</xref>, <xref ref-type="bibr" rid="B34">2022a</xref>). Once the overland flow stabilized, sediment separated by runoff diminished, leading to a reduction in the sediment yield rate. As shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7a</bold>
</xref>, the peak sediment yield rate occurred earlier on CK hillslopes than that on alfalfa-covered hillslopes. This was likely because soil crusts and steady overland flow developed more rapidly for CK (<xref ref-type="bibr" rid="B6">Chen et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B9">Dan et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B43">Oliveira et&#xa0;al., 2024</xref>). Meanwhile, the time to reach the peak sediment yield rate on alfalfa-covered hillslopes followed the order SS, LS, MS, and US (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7a</bold>
</xref>). The peak sediment yield rate followed the order CK, US, MS, LS, and SS (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7b</bold>
</xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Variations in time to reaching peak sediment yield rate <bold>(a)</bold> and peak sediment yield rate <bold>(b)</bold> for different hillslope treatment.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-16-1629542-g007.tif">
<alt-text content-type="machine-generated">Two line graphs show data on hillslope treatments. Graph (a) represents the time to reach peak sediment rate in minutes across treatments CK, US, MS, LS, and SS. Graph (b) depicts the peak sediment rate in grams per square meter per minute for the same treatments. Lines represent different percentages: 8.75% (black squares), 17.63% (red circles), 26.80% (green triangles), and 36.40% (blue triangles). In (a), time generally increases across treatments; in (b), the peak sediment rate decreases.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Difference in soil erosion for different alfalfa spatial distributions</title>
<p>The results indicated that total runoff and total sediment followed the order US, MS, LS, and SS, underscoring the complexity of vegetation spatial distribution in affecting the hillslope erosion dynamics (<xref ref-type="bibr" rid="B13">Feng et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>). Vegetation located upstream of hillslopes (US) implied that the downstream areas lacked a direct shielding effect from vegetation, thus increasing the susceptibility of soil detachment and sediment transport by runoff (<xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>; <xref ref-type="bibr" rid="B42">Niu et&#xa0;al., 2024</xref>). The absence of vegetation in downstream areas allowed the sediment to flow unobstructed downslope, increasing the concentrated flow erosion (<xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B27">Li et&#xa0;al., 2024b</xref>). In contrast, vegetation located downstream of hillslopes effectively intercepted sediments from upstream, reduced its downward transport, and facilitated sediment deposition via its dense root network and surface cover, forming a natural deposition zone (<xref ref-type="bibr" rid="B15">Futerman et&#xa0;al., 2025</xref>; <xref ref-type="bibr" rid="B31">Lin et&#xa0;al., 2024</xref>). This &#x201c;sediment dam&#x201d; effect greatly alleviated erosion in downstream areas, highlighting the critical role of downstream vegetation in mitigating erosion (<xref ref-type="bibr" rid="B39">Mu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B49">Vinatier et&#xa0;al., 2024</xref>). Vegetation patterns located mid-hillslopes (MS) exhibited runoff and sediment reduction effects that lie between those for US and LS, which reduced the erosive force by reducing the velocity of overland flow and enhancing the hillslope surface roughness (<xref ref-type="bibr" rid="B3">Bahddou et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B19">Hu et&#xa0;al., 2023</xref>). Uniformly distributed vegetation enhanced the canopy interception, facilitated the runoff dispersion, and reduced the runoff velocity, thereby minimizing concentrated flow erosion (<xref ref-type="bibr" rid="B3">Bahddou et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B43">Oliveira et&#xa0;al., 2024</xref>). Additionally, the extensive distribution of root network formed a multi-layered erosion protection system (<xref ref-type="bibr" rid="B12">Entezami et&#xa0;al., 2024</xref>; <xref ref-type="bibr" rid="B47">Song et&#xa0;al., 2025</xref>). Thus, the SS pattern provided optimal erosion mitigation by changing runoff paths, improving soil stability, and reducing erosive energy.</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Significance and limitation of this study</title>
<p>This study investigated the effect of herbaceous vegetation spatial distribution patterns on hillslope erosion process with different slope gradients (8.75%&#x2013;36.40%) and a rainfall intensity of 90 mm h<sup>&#x2013;1</sup> on the Loess Plateau. The results indicated that alfalfa-covered hillslopes altered the soil erosion process by delaying the initial runoff generation time and reducing the runoff rate and sediment yield rate. The findings also highlighted the influence of vegetation spatial distribution patterns on hillslope erosion ranging from gentle to steep. The study enhanced our understanding on how herbaceous vegetation and its distribution patterns affected soil erosion and provided more scientific guidance to innovate soil and water conservation regulations on the Loess Plateau. Despite the significant results, the current study only validated the impact of a single herbaceous vegetation spatial distribution pattern on soil erosion. The effect of composite vegetation on soil erosion required additional verification. Moreover, the applicability of these findings needs to be validated in other erosion-prone regions.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusion</title>
<p>The current study investigated the impacts of alfalfa spatial distribution pattern on hillslope erosion process. The results indicated that the initial runoff generation time on alfalfa-covered hillslopes was delayed by 2.50 to 11.50 min in comparison with CK. The initial runoff generation time for all treatments was advanced with increasing slope gradient. The average runoff rates for CK and alfalfa-covered hillslopes were 0.18 to 1.24 L m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, respectively. Compared with CK, the average runoff rates for alfalfa-covered hillslopes decreased by 7.18% to 83.77%. The average sediment yield rates for CK and alfalfa-covered hillslopes were 1.50 to 21.32 g m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>, and the peak sediment yield rates were 10.74 to 45.35 g m<sup>&#x2013;2</sup> min<sup>&#x2013;1</sup>. Compared with CK, the average and the peak sediment yield rates for alfalfa-covered hillslopes decreased by 12.62% to 85.69% and 11.47% to 56.73%, respectively. The average infiltration rates for CK and alfalfa-covered hillslopes with slope gradient of 8.75%&#x2013;36.40% were 0.17 to 0.50 and 0.28 to 1.35 mm m<sup>-2</sup> min<sup>-1</sup>, respectively. Meanwhile, slope gradient is an important factor affecting the runoff and sediment generation. As the slope gradient increased, the RRB and SRB on alfalfa-covered hillslopes gradually decreased, and there were obvious differences in RRB and SRB on alfalfa-covered hillslopes with different vegetation spatial distribution patterns. Due to the shielding and protection effects of alfalfa, initial runoff generation time was delayed, and the runoff and sediment yield rates were reduced. The alfalfa-covered hillslopes yielded good soil and water conservation benefits. The results from the current study provided scientific reference to understand the effect of herbaceous spatial distribution pattern on anti-erosion.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>CY: Funding acquisition, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. QZ: Conceptualization, Methodology, Writing &#x2013; original draft. KC: Investigation, Software, Writing &#x2013; original draft. SZ: Data curation, Investigation, Writing &#x2013; original draft. MZ: Funding acquisition, Investigation, Writing &#x2013; original draft. ZG: Conceptualization, Funding acquisition, Writing &#x2013; original draft. WY: Writing &#x2013; original draft, Funding acquisition, Investigation. FW: Writing &#x2013; original draft, Conceptualization, Methodology.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. This work was supported by the National Natural Science Foundation of China (42407473, 42471163) and Key Research Projects of Higher Education Institutions in Henan Province (25A170007, 25A170013, 25A170004).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Author KC was employed by the company China Railway Siyuan Survey and Design Group 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 id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ali</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Seeger</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Sterk</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Moore</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>A unit stream power based sediment transport function for overland flow</article-title>. <source>Catena</source> <volume>101</volume>, <fpage>197</fpage>&#x2013;<lpage>204</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2012.09.006</pub-id>
</citation></ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Atere</surname> <given-names>C. T.</given-names>
</name>
<name>
<surname>Gunina</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Zhu</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Xiao</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Ge</surname> <given-names>T. J. S. B.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Organic matter stabilization in aggregates and density fractions in paddy soil depending on long-term fertilization: Tracing of pathways by 13C natural abundance</article-title>. <source>Soil Biol. Biochem.</source> <volume>149</volume>, <fpage>107931</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.soilbio.2020.107931</pub-id>
</citation></ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bahddou</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Otten</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Whalley</surname> <given-names>W. R.</given-names>
</name>
<name>
<surname>Shin</surname> <given-names>H.-C.</given-names>
</name>
<name>
<surname>El Gharous</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Rickson</surname> <given-names>R. J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Changes in soil surface properties under simulated rainfall and the effect of surface roughness on runoff, infiltration and soil loss</article-title>. <source>Geoderma</source> <volume>431</volume>, <fpage>116341</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2023.116341</pub-id>
</citation></ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bautista</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Mayor</surname> <given-names>&#xc1;.G.</given-names>
</name>
<name>
<surname>Bourakhouadar</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Bellot</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Plant spatial pattern predicts hillslope runoff and erosion in a semiarid mediterranean landscape</article-title>. <source>Ecosystems</source> <volume>10</volume>, <fpage>987</fpage>&#x2013;<lpage>998</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s10021-007-9074-3</pub-id>
</citation></ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boix-Fayos</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Mart&#xed;nez-Mena</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Calvo-Cases</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Arnau-Rosal&#xe9;n</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Albaladejo</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Castillo</surname> <given-names>V.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Causes and underlying processes of measurement variability in field erosion plots in Mediterranean conditions</article-title>. <source>Earth Surface Processes Landforms</source> <volume>32</volume>, <fpage>85</fpage>&#x2013;<lpage>101</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/esp.1382</pub-id>
</citation></ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Cao</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Use of multifractal parameters to determine soil particle size distribution and erodibility of a physical soil crust in the Loess Plateau, China</article-title>. <source>Catena</source> <volume>219</volume>, <elocation-id>106641</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2022.106641</pub-id>
</citation></ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Dou</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Lin</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Jian</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2024</year>a). <article-title>
<italic>In-situ</italic> infiltration-runoff characterization of slopes under the influences of different rainfall patterns and slope gradients</article-title>. <source>CATENA</source> <volume>247</volume>, <fpage>108519</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2024.108519</pub-id>
</citation></ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname> <given-names>Y. P.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>K. B.</given-names>
</name>
<name>
<surname>Fu</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y. F.</given-names>
</name>
<name>
<surname>Tian</surname> <given-names>H. W.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>b). <article-title>65% cover is the sustainable vegetation threshold on the Loess Plateau</article-title>. <source>Environ. Sci. AND ECOTECHNOLOGY</source> <volume>22</volume>, <elocation-id>100442</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ese.2024.100442</pub-id>, PMID: <pub-id pub-id-type="pmid">39044783</pub-id></citation></ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dan</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Shen</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>C.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>). <article-title>Predicting the coupling effects of grass and shrub with biological crust on splash and sheet erosion</article-title>. <source>Soil Tillage Res.</source> <volume>244</volume>, <fpage>106208</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106208</pub-id>
</citation></ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>De Baets</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Poesen</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Gyssels</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Knapen</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Effects of grass roots on the erodibility of topsoils during concentrated flow</article-title>. <source>Geomorphology</source>. <volume>76</volume> (<issue>1&#x2013;2</issue>), <fpage>54</fpage>&#x2013;<lpage>67</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geomorph.2005.10.002</pub-id>
</citation></ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dupuy</surname> <given-names>J. M.</given-names>
</name>
<name>
<surname>Hern&#xe1;ndez-Stefanoni</surname> <given-names>J. L.</given-names>
</name>
<name>
<surname>Hern&#xe1;ndez-Ju&#xe1;rez</surname> <given-names>R. A.</given-names>
</name>
<name>
<surname>Tetetla-Rangel</surname> <given-names>E.</given-names>
</name>
<name>
<surname>L&#xf3;pez-Mart&#xed;nez</surname> <given-names>J. O.</given-names>
</name>
<name>
<surname>Leyequi&#xe9;n-Abarca</surname> <given-names>E.</given-names>
</name>
<etal/>
</person-group>. (<year>2012</year>). <article-title>Patterns and correlates of tropical dry forest structure and composition in a highly replicated chronosequence in yucatan, Mexico</article-title>. <source>Biotropica</source> <volume>44</volume>, <fpage>151</fpage>&#x2013;<lpage>162</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1111/j.1744-7429.2011.00783.x</pub-id>
</citation></ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Entezami</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Mosaddeghi</surname> <given-names>M. R.</given-names>
</name>
<name>
<surname>Shirvani</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Khalili</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Bazarganipour</surname> <given-names>M.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Interactive effects of Ag nanoparticles/nitrate and plant root systems on quality indicators and aggregate stability of two texturally-different soils</article-title>. <source>Soil Tillage Res.</source> <volume>244</volume>, <fpage>106257</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106257</pub-id>
</citation></ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feng</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Wei</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Rodrigo-Comino</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Die</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>X.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>Assessment of the impact of different vegetation patterns on soil erosion processes on semiarid loess slopes</article-title>. <source>Earth Surface Processes Landforms</source> <volume>43</volume>, <fpage>1860</fpage>&#x2013;<lpage>1870</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/esp.4361</pub-id>
</citation></ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feng</surname> <given-names>X. M.</given-names>
</name>
<name>
<surname>Fu</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Piao</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Ciais</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Zeng</surname> <given-names>Z. Z.</given-names>
</name>
<etal/>
</person-group>. (<year>2016</year>). <article-title>Revegetation in China&#x2019;s Loess Plateau is approaching sustainable water resource limits</article-title>. <source>Nat. Climate Change</source> <volume>6</volume>, <fpage>1019</fpage>&#x2013;<lpage>101+</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/nclimate3092</pub-id>
</citation></ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Futerman</surname> <given-names>S. I.</given-names>
</name>
<name>
<surname>Cohen</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Laor</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Argaman</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Aharon</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Eshel</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Assessing field-scale rill erosion mitigation by cover crops in arable land using drone image analysis</article-title>. <source>Soil Tillage Res.</source> <volume>246</volume>, <fpage>106341</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106341</pub-id>
</citation></ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ghestem</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Veylon</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Bernard</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Vanel</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Stokes</surname> <given-names>A.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Influence of plant root system morphology and architectural traits on soil shear resistance</article-title>. <source>Plant Soil</source> <volume>377</volume>, <fpage>43</fpage>&#x2013;<lpage>61</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11104-012-1572-1</pub-id>
</citation></ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gyssels</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Poesen</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Bochet</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Impact of plant roots on the resistance of soils to erosion by water: a review</article-title>. <source>Prog. Phys. Geogr.</source> <volume>29</volume>, <fpage>189</fpage>&#x2013;<lpage>217</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1191/0309133305pp443ra</pub-id>
</citation></ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Han</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Lu</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Qiao</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Response of net water productivity to climate and edaphic moisture in wheat-maize rotation system</article-title>. <source>Soil Tillage Res.</source> <volume>237</volume>, <fpage>105965</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2023.105965</pub-id>
</citation></ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Luo</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Badreldin</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Benoy</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Xing</surname> <given-names>Z.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Soil and water conservation effects of different types of vegetation cover on runoff and erosion driven by climate and underlying surface conditions</article-title>. <source>CATENA</source> <volume>231</volume>, <fpage>107347</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2023.107347</pub-id>
</citation></ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>P.</given-names>
</name>
<name>
<surname>He</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Improvement of water yield and net primary productivity ecosystem services in the Loess Plateau of China since the &#x201c;Grain for Green</article-title>. <source>project. Ecol. Indic.</source> <volume>154</volume>, <fpage>110707</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ecolind.2023.110707</pub-id>
</citation></ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname> <given-names>Y. H.</given-names>
</name>
<name>
<surname>Zhuang</surname> <given-names>X. H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Lei</surname> <given-names>T. W.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Z. Q.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q. W.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Measuring sediment transport capacity in ephemeral gully through adjustment of sediment feeding</article-title>. <source>Catena</source> <volume>202</volume>, <elocation-id>105261</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2021.105261</pub-id>
</citation></ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lamm</surname> <given-names>F. R.</given-names>
</name>
<name>
<surname>Manges</surname> <given-names>H. L.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>PARTITIONING OF SPRINKLER IRRIGATION WATER BY A CORN CANOPY</article-title>. <source>Trans. Asae</source> <volume>43</volume>, <fpage>909</fpage>&#x2013;<lpage>918</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.13031/2013.2987</pub-id>
</citation></ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Le Bissonnais</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Prieto</surname> <given-names>I.</given-names>
</name>
<name>
<surname>Roumet</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Nespoulous</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Metayer</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Huon</surname> <given-names>S.</given-names>
</name>
<etal/>
</person-group>. (<year>2018</year>). <article-title>Soil aggregate stability in Mediterranean and tropical agro-ecosystems: Effect of plant roots and soil characteristics</article-title>. <source>Plant Soil</source> <volume>424</volume>, <fpage>303</fpage>&#x2013;<lpage>317</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s11104-017-3423-6</pub-id>
</citation></ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Leung</surname> <given-names>A. K.</given-names>
</name>
<name>
<surname>Boldrin</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Liang</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>Z. Y.</given-names>
</name>
<name>
<surname>Kamchoom</surname> <given-names>V.</given-names>
</name>
<name>
<surname>Bengough</surname> <given-names>A. G.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Plant age effects on soil infiltration rate during early plant establishment</article-title>. <source>Geotechnique</source> <volume>68</volume>, <fpage>646</fpage>&#x2013;<lpage>652</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1680/jgeot.17.T.037</pub-id>
</citation></ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Levia</surname> <given-names>D. F.</given-names>
</name>
<name>
<surname>Frost</surname> <given-names>E. E.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>A review and evaluation of stemflow literature in the hydrologic and biogeochemical cycles of forested and agricultural ecosystems</article-title>. <source>J. Hydrology</source> <volume>274</volume>, <fpage>1</fpage>&#x2013;<lpage>29</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0022-1694(02)00399-2</pub-id>
</citation></ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Zou</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Chang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2024</year>a). <article-title>Spatial heterogeneity of shear stress on gravel-covered surfaces and its effects on soil wind erosion</article-title>. <source>Soil Tillage Res.</source> <volume>241</volume>, <fpage>106119</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106119</pub-id>
</citation></ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Fan</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Jin</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Hao</surname> <given-names>M.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>b). <article-title>Divergent rainfall infiltration patterns on the Chinese Loess Plateau between growing and non-growing seasons after long-term revegetation</article-title>. <source>J. Hydrology</source> <volume>641</volume>, <fpage>131816</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jhydrol.2024.131816</pub-id>
</citation></ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Fan</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>X.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>c). <article-title>Interactive effect of soil dispersity and rainfall intensity on splash erosion: Insights from laboratory tests</article-title>. <source>CATENA</source> <volume>238</volume>, <fpage>107843</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2024.107843</pub-id>
</citation></ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname> <given-names>Q. T.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>F. Q.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>T. T.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effects of wheat in regulating runoff and sediment on different slope gradients and under different rainfall intensities</article-title>. <source>Catena</source> <volume>183</volume>, <fpage>104196</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2019.104196</pub-id>
</citation></ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>L.</given-names>
</name>
<etal/>
</person-group>. (<year>2025</year>). <article-title>Global thresholds for the climate-driven effects of vegetation restoration on runoff and soil erosion</article-title>. <source>J. Hydrology</source> <volume>647</volume>, <fpage>132374</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jhydrol.2024.132374</pub-id>
</citation></ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Xu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Luo</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Zhou</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>Z.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>). <article-title>Soil moisture dynamics and associated rainfall-runoff processes under different land uses and land covers in a humid mountainous watershed</article-title>. <source>J. Hydrology</source> <volume>636</volume>, <fpage>131249</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jhydrol.2024.131249</pub-id>
</citation></ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>B. Y.</given-names>
</name>
<name>
<surname>Xie</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Z. G.</given-names>
</name>
<name>
<surname>Liang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>W. B.</given-names>
</name>
<name>
<surname>Fu</surname> <given-names>S. H.</given-names>
</name>
<etal/>
</person-group>. (<year>2020</year>). <article-title>The assessment of soil loss by water erosion in China</article-title>. <source>Int. Soil Water Conserv. Res.</source> <volume>8</volume>, <fpage>430</fpage>&#x2013;<lpage>439</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.iswcr.2020.07.002</pub-id>
</citation></ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Peng</surname> <given-names>X.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Effects of physical crust on soil detachment by overland flow in the Loess Plateau region of China</article-title>. <source>Int. Soil Water Conserv. Res.</source> <volume>12</volume>, <fpage>107</fpage>&#x2013;<lpage>120</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.iswcr.2023.05.006</pub-id>
</citation></ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>J. X.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Duan</surname> <given-names>X. W.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>Y. F.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>G. B.</given-names>
</name>
</person-group> (<year>2022</year>a). <article-title>Seasonal variation in soil erosion resistance to overland flow in gully-filled farmland on the Loess Plateau, China - ScienceDirect</article-title>. <source>Soil Tillage Res</source>. <volume>218</volume>, <elocation-id>105297</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2021.105297</pub-id>
</citation></ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Huang</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>b). <article-title>Restoration of a hillslope grassland with an ecological grass species (Elymus tangutorum) favors rainfall interception and water infiltration and reduces soil loss on the Qinghai-Tibetan Plateau</article-title>. <source>CATENA</source> <volume>219</volume>, <fpage>106632</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2022.106632</pub-id>
</citation></ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Loades</surname> <given-names>K. W.</given-names>
</name>
<name>
<surname>Bengough</surname> <given-names>A. G.</given-names>
</name>
<name>
<surname>Bransby</surname> <given-names>M. F.</given-names>
</name>
<name>
<surname>Hallett</surname> <given-names>P. D.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Planting density influence on fibrous root reinforcement of soils</article-title>. <source>Ecological Engineering</source> <volume>36</volume> (<issue>3</issue>), &#x2013;<lpage>284</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ecoleng.2009.02.005</pub-id>
</citation></ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lv</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhou</surname> <given-names>C.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Mechanistic analysis of splash erosion on loess by single raindrop impact: Interaction of soil compaction, water content, and raindrop energy</article-title>. <source>Biosyst. Eng.</source> <volume>236</volume>, <fpage>238</fpage>&#x2013;<lpage>247</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.biosystemseng.2023.11.001</pub-id>
</citation></ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Montgomery</surname> <given-names>D. R.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Soil erosion and agricultural sustainability</article-title>. <source>Proc. Natl. Acad. Sci. United States America</source> <volume>104</volume>, <fpage>13268</fpage>&#x2013;<lpage>13272</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1073/pnas.0611508104</pub-id>, PMID: <pub-id pub-id-type="pmid">17686990</pub-id></citation></ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mu</surname> <given-names>H. L.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>X. J.</given-names>
</name>
<name>
<surname>Fu</surname> <given-names>S. H.</given-names>
</name>
<name>
<surname>Yu</surname> <given-names>B. F.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Y. N.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>G. H.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Effect of stem basal cover on the sediment transport capacity of overland flows</article-title>. <source>Geoderma</source> <volume>337</volume>, <fpage>384</fpage>&#x2013;<lpage>393</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2018.09.055</pub-id>
</citation></ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nardi</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Concheri</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Pizzeghello</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Sturaro</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Rella</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Parvoli</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Soil organic matter mobilization by root exudates</article-title>. <source>Chemosphere</source> <volume>41</volume>, <fpage>653</fpage>&#x2013;<lpage>658</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0045-6535(99)00488-9</pub-id>, PMID: <pub-id pub-id-type="pmid">10834364</pub-id></citation></ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nardi</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Sessi</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Pizzeghello</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Sturaro</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Rella</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Parvoli</surname> <given-names>G.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Biological activity of soil organic matter mobilized by root exudates</article-title>. <source>Chemosphere</source> <volume>46</volume>, <fpage>1075</fpage>&#x2013;<lpage>1081</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0045-6535(01)00160-6</pub-id>, PMID: <pub-id pub-id-type="pmid">11999770</pub-id></citation></ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Niu</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Pan</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Cui</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Efficacies of vegetation litter and roots in strengthening rainfall infiltration for different stand ages on the Loess Plateau</article-title>. <source>CATENA</source> <volume>247</volume>, <fpage>108502</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2024.108502</pub-id>
</citation></ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Oliveira</surname> <given-names>E.</given-names>
</name>
<name>
<surname>Herm&#xf3;genes</surname> <given-names>G. M.</given-names>
</name>
<name>
<surname>Brito</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Silva</surname> <given-names>B. M.</given-names>
</name>
<name>
<surname>Avanzi</surname> <given-names>J. C.</given-names>
</name>
<name>
<surname>A. and Silva</surname> <given-names>M. L. N.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Cover crop management systems improves soil quality and mitigate water erosion in tropical olive orchards</article-title>. <source>Scientia Hortic.</source> <volume>330</volume>, <fpage>113092</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scienta.2024.113092</pub-id>
</citation></ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Polyakov</surname> <given-names>V. O.</given-names>
</name>
<name>
<surname>Nearing</surname> <given-names>M. A.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Sediment transport in rill flow under deposition and detachment conditions</article-title>. <source>Catena</source> <volume>51</volume>, <fpage>33</fpage>&#x2013;<lpage>43</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0341-8162(02)00090-5</pub-id>
</citation></ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Puigdef&#xe1;bregas</surname> <given-names>J.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>The role of vegetation patterns in structuring runoff and sediment fluxes in drylands</article-title>. <source>Earth Surface Processes Landforms</source> <volume>30</volume>, <fpage>133</fpage>&#x2013;<lpage>147</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/esp.1181</pub-id>
</citation></ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Quinton</surname> <given-names>J. N.</given-names>
</name>
<name>
<surname>Govers</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Van. Oost</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Bardgett</surname> <given-names>R. D.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The impact of agricultural soil erosion on biogeochemical cycling</article-title>. <source>Nat. Geosci.</source> <volume>3</volume>, <fpage>311</fpage>&#x2013;<lpage>314</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1038/ngeo838</pub-id>
</citation></ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Song</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Nakamura</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Kawaguchi</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Kawajiri</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Rui</surname> <given-names>D.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Quantifying the shear behavior of fine-grained soil with herbaceous plant roots under freeze-thaw conditions using X-ray CT scan</article-title>. <source>Soil Tillage Res.</source> <volume>246</volume>, <fpage>106326</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106326</pub-id>
</citation></ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Van Dijk</surname> <given-names>A. I. J. M.</given-names>
</name>
<name>
<surname>Bruijnzeel</surname> <given-names>L. A.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Modelling rainfall interception by vegetation of variable density using an adapted analytical model. Part 2. Model validation for a tropical upland mixed cropping system</article-title>. <source>J. Hydrology</source> <volume>247</volume>, <fpage>239</fpage>&#x2013;<lpage>262</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/S0022-1694(01)00393-6</pub-id>
</citation></ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vinatier</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Rudi</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Coulouma</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Dag&#xe8;s</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Bailly</surname> <given-names>J.-S.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Dynamics of quasi-steady ponded infiltration under contrasting plant cover and management strategies</article-title>. <source>Soil Tillage Res.</source> <volume>237</volume>, <fpage>105985</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2023.105985</pub-id>
</citation></ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>G. H.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Quantifying the binding and bonding effects of plant roots on soil detachment by overland flow in 10 typical grasslands on the loess plateau</article-title>. <source>Soil Sci. Soc. America J.</source> <volume>81</volume>, <fpage>1567</fpage>&#x2013;<lpage>1576</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2136/sssaj2017.07.0249</pub-id>
</citation></ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>G. H.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>Y. Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X. C.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Soil detachment by overland flow under different vegetation restoration models in the Loess Plateau of China</article-title>. <source>Catena</source> <volume>116</volume>, <fpage>51</fpage>&#x2013;<lpage>59</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2013.12.010</pub-id>
</citation></ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Cai</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Tan</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>He</surname> <given-names>L.</given-names>
</name>
<etal/>
</person-group>. (<year>2022</year>a). <article-title>Effect of root system of the Dicranopteris dichotoma on the soil unconfined compressive strength of collapsing walls in hilly granite area of South China</article-title>. <source>CATENA</source> <volume>216</volume>, <fpage>106411</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2022.106411</pub-id>
</citation></ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2022</year>b). <article-title>The influence of wheat straw mulching and straw length on infiltration, runoff and soil loss</article-title>. <source>Hydrological Processes</source> <volume>36</volume> (<issue>4</issue>), <elocation-id>e14561</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/hyp.14561</pub-id>
</citation></ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>B.</given-names>
</name>
</person-group> (<year>2023</year>a). <article-title>Effects of straw mixed mulch length and coverage on infiltration, soil and water loss of Loess Plateau slopes</article-title>. <source>Land Degradation Dev</source>. <volume>34</volume> (<issue>10</issue>), <fpage>2931</fpage>&#x2013;<lpage>2944</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/ldr.4657</pub-id>
</citation></ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Song</surname> <given-names>H.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>b). <article-title>Clipping decreases plant cover, litter mass, and water infiltration rate in soil across six plant community sites in a semiarid grassland</article-title>. <source>Sci. Total Environ.</source> <volume>861</volume>, <fpage>160692</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.scitotenv.2022.160692</pub-id>, PMID: <pub-id pub-id-type="pmid">36476773</pub-id></citation></ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Zheng</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>X. J.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>H.</given-names>
</name>
</person-group> (<year>2023</year>c). <article-title>Interactive effects of rainfall intensity, kinetic energy and antecedent soil moisture regime on splash erosion in the Ultisol region of South China</article-title>. <source>CATENA</source> <volume>222</volume>, <fpage>106863</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2022.106863</pub-id>
</citation></ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Qin</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Sun</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2024</year>a). <article-title>Effects of root morphologies on shearing characteristics of the root-soil composite: An experimental case study of Ficus virens in Chongqing, China</article-title>. <source>CATENA</source> <volume>246</volume>, <fpage>108407</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2024.108407</pub-id>
</citation></ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>X.a.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>X.</given-names>
</name>
<name>
<surname>H. and Zhao</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2024</year>b). <article-title>Influence mechanism of herbaceous plants on debris flow bank erosion</article-title>. <source>CATENA</source> <volume>245</volume>, <fpage>108308</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2024.108308</pub-id>
</citation></ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Z.</given-names>
</name>
<name>
<surname>Lu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>F.</given-names>
</name>
</person-group> (<year>2024</year>c). <article-title>Effects of tillage microrelief units on splash erosion: A case study from the Loess Plateau, in China</article-title>. <source>Soil Tillage Res.</source> <volume>238</volume>, <fpage>106004</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.still.2024.106004</pub-id>
</citation></ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname> <given-names>Z. L.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Yuan</surname>
</name>
</person-group> (<year>2015</year>). <article-title>Sediment transport capacity and its response to hydraulic parameters in experimental rill flow on steep slope</article-title>. <source>J. Soil Water Conserv.</source> <volume>70</volume> (<issue>1</issue>), <fpage>36</fpage>&#x2013;<lpage>44</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2489/jswc.70.1.36</pub-id>
</citation></ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Assouline</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Modeling rainfall-infiltration-runoff processes on sloping surfaces subject to rapidly changing soil properties during seal formation</article-title>. <source>J. Hydrology</source> <volume>619</volume>, <fpage>129318</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.jhydrol.2023.129318</pub-id>
</citation></ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiao</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Jia</surname> <given-names>T. T.</given-names>
</name>
<name>
<surname>Pang</surname> <given-names>X. P.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>Z. G.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Effects of alternate furrow irrigation on the biomass and quality of alfalfa (Medicago sativa)</article-title>. <source>Agric. Water Manage.</source> <volume>161</volume>, <fpage>147</fpage>&#x2013;<lpage>154</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2015.07.018</pub-id>
</citation></ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Tu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Luo</surname> <given-names>Y.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Crop plants transport irregularly shaped mineral particles from root to shoot: Tracking and quantifying</article-title>. <source>Eco-Environment Health</source> <volume>3</volume>, <fpage>458</fpage>&#x2013;<lpage>465</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.eehl.2024.05.002</pub-id>, PMID: <pub-id pub-id-type="pmid">39584145</pub-id></citation></ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Ma</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Ji</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Effects of &#x201c;Grain for Green&#x201d; program on soil hydraulic properties: A meta-analysis</article-title>. <source>Geoderma</source> <volume>453</volume>, <fpage>117130</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2024.117130</pub-id>
</citation></ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yao</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>K.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q.</given-names>
</name>
</person-group> (<year>2023</year>a). <article-title>The contribution rate of stem-leaf and root of alfalfa (Medicago sativa L.) to sediment and runoff reduction</article-title>. <source>Land Degradation Dev.</source> <volume>13)</volume>, <fpage>34</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/ldr.4731</pub-id>
</citation></ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yao</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>Q. W.</given-names>
</name>
<name>
<surname>Chen</surname> <given-names>K. B.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>L. T.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>C. F.</given-names>
</name>
<etal/>
</person-group>. (<year>2023</year>b). <article-title>Response of seasonal variation in soil detachment capacity to straw incorporation in sloping farmland on the Loess Plateau</article-title>. <source>Land Degradation Dev</source>. <volume>34</volume> (<issue>6</issue>), <fpage>1740</fpage>&#x2013;<lpage>1751</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1002/ldr.4565</pub-id>
</citation></ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yibin</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Fei</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Jian</surname> <given-names>W.</given-names>
</name>
<name>
<surname>Hongyu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Mengfei</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>The social-ecological benefits of grain for green program based on coupled coordination network: Taking the China&#x2019;s Loess Plateau as an example</article-title>. <source>Land Use Policy</source> <volume>143</volume>, <fpage>107211</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.landusepol.2024.107211</pub-id>
</citation></ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yubonchit</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Chinkulkijniwat</surname> <given-names>A.</given-names>
</name>
<name>
<surname>Tirametatiparat</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Horpibulsuk</surname> <given-names>S.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Rainwater infiltration in a vegetated slope subjected to high intensity rainfall</article-title>. <source>Phys. Chem. Earth Parts A/B/C</source> <volume>138</volume>, <fpage>103841</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.pce.2024.103841</pub-id>
</citation></ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zambon</surname> <given-names>N.</given-names>
</name>
<name>
<surname>Johannsen</surname> <given-names>L. L.</given-names>
</name>
<name>
<surname>Strauss</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Dostal</surname> <given-names>T.</given-names>
</name>
<name>
<surname>Zumr</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Cochrane</surname> <given-names>T. A.</given-names>
</name>
<etal/>
</person-group>. (<year>2021</year>). <article-title>Splash erosion affected by initial soil moisture and surface conditions under simulated rainfall</article-title>. <source>CATENA</source> <volume>196</volume>, <fpage>104827</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2020.104827</pub-id>
</citation></ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>B.</given-names>
</name>
<name>
<surname>Guo</surname> <given-names>J.</given-names>
</name>
<name>
<surname>Fang</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Wu</surname> <given-names>S.</given-names>
</name>
<name>
<surname>Feng</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Siddique</surname> <given-names>K. H. M.</given-names>
</name>
</person-group> (<year>2024</year>a). <article-title>Soil erosion projection and response to changed climate and land use and land cover on the Loess Plateau</article-title>. <source>Agric. Water Manage.</source> <volume>306</volume>, <fpage>109187</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agwat.2024.109187</pub-id>
</citation></ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>B. J.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>G. H.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>H. Y.</given-names>
</name>
<name>
<surname>Zhu</surname> <given-names>P. Z.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Temporal variation in soil erosion resistance of steep slopes restored with different vegetation communities on the Chinese Loess Plateau</article-title>. <source>Catena</source> <volume>182</volume>, <elocation-id>104170</elocation-id>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.catena.2019.104170</pub-id>
</citation></ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Zhang</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Yi</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Influence of vegetation parameters on runoff and sediment characteristics in patterned Artemisia capillaris plots</article-title>. <source>J. Arid Land</source> <volume>6</volume>, <fpage>352</fpage>&#x2013;<lpage>360</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1007/s40333-013-0224-5</pub-id>
</citation></ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>G. H.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>B. Y.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>G. B.</given-names>
</name>
<name>
<surname>He</surname> <given-names>X. W.</given-names>
</name>
<name>
<surname>Nearing</surname> <given-names>M. A.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Detachment of undisturbed soil by shallow flow</article-title>. <source>Soil Sci. Soc. America J.</source> <volume>67</volume>, <fpage>713</fpage>&#x2013;<lpage>719</lpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.2136/sssaj2003.7130</pub-id>
</citation></ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Xing</surname> <given-names>G.</given-names>
</name>
<name>
<surname>Hu</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Liu</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Li</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>J.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>b). <article-title>Effects of grassland vegetation roots on soil infiltration rate in Xiazangtan super large scale landslide distribution area in the upper reaches of the Yellow River, China</article-title>. <source>Biogeotechnics</source> <volume>2</volume>, <fpage>100104</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.bgtech.2024.100104</pub-id>
</citation></ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhao</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Tian</surname> <given-names>P.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>Q.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Roots have greater effects on the accumulation of soil microbial residue carbon in microaggregate fractions than leaf litter in a subtropical forest</article-title>. <source>Geoderma</source> <volume>442</volume>, <fpage>116803</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2024.116803</pub-id>
</citation></ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname> <given-names>J. Y.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>J. S.</given-names>
</name>
<name>
<surname>Shi</surname> <given-names>Z. H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>L.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Soil aggregates are key factors that regulate erosion-related carbon loss in citrus orchards of southern China: Bare land vs</article-title>. <source>grass-covered land. Agriculture Ecosyst. Environ.</source> <volume>309</volume>, <fpage>107254</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.agee.2020.107254</pub-id>
</citation></ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname> <given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Ren</surname> <given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname> <given-names>D.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>C.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>W.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Spatial pattern variation of artificial sand-binding vegetation based on UAV imagery and its influencing factors in an oasis&#x2013;desert transitional zone</article-title>. <source>Ecol. Indic.</source> <volume>141</volume>, <fpage>109068</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.ecolind.2022.109068</pub-id>
</citation></ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Qi</surname> <given-names>X.</given-names>
</name>
<name>
<surname>X. and Zhou</surname> <given-names>Z.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Estimating sediment transport capacity on sloping farmland on the Loess Plateau considering soil particle size characteristics</article-title>. <source>Geoderma</source> <volume>446</volume>, <fpage>116906</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2024.116906</pub-id>
</citation></ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zi</surname> <given-names>R.</given-names>
</name>
<name>
<surname>Zhao</surname> <given-names>L.</given-names>
</name>
<name>
<surname>Fang</surname> <given-names>Q.</given-names>
</name>
<name>
<surname>Fang</surname> <given-names>F.</given-names>
</name>
<name>
<surname>Yin</surname> <given-names>X.</given-names>
</name>
<name>
<surname>Qian</surname> <given-names>X.</given-names>
</name>
<etal/>
</person-group>. (<year>2024</year>). <article-title>Effect of Nostoc commune cover on shallow soil moisture, runoff and erosion in the subtropics</article-title>. <source>Geoderma</source> <volume>447</volume>, <fpage>116931</fpage>. doi:&#xa0;<pub-id pub-id-type="doi">10.1016/j.geoderma.2024.116931</pub-id>
</citation></ref>
</ref-list>
</back>
</article>