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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">857776</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.857776</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Impacts of Different Rural Settlement Expansion Patterns on Eco-Environment and Implications in the Loess Hilly and Gully Region, China</article-title>
<alt-title alt-title-type="left-running-head">Chen et al.</alt-title>
<alt-title alt-title-type="right-running-head">Eco-Environmental Effects of Rural Settlements</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Zongfeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1641952/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Yurui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1275409/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhengjia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Jieyong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Xueqi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of Geographic Sciences and Natural Resources Research</institution>, <institution>Chinese Academy of Sciences (CAS)</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Faculty of Geographical Science</institution>, <institution>Beijing Normal University</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1609976/overview">Wenqiu Ma</ext-link>, China Agricultural University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1652871/overview">Guan Xiaoke</ext-link>, Zhengzhou University of Light Industry, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1029937/overview">Jun Yang</ext-link>, Northeastern University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1656018/overview">Jintao Li</ext-link>, Shandong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jieyong Wang, <email>wjy@igsnrr.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Land Use Dynamics, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>857776</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Chen, Li, Liu, Wang and Liu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Chen, Li, Liu, Wang and Liu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>While the eco-environmental effects of rural settlement expansion are of great significance to rural sustainable land use, the relationship between rural settlement expansion and eco-environment under different expansion patterns is still unclear. To fill this gap, the current study used Baota district of the loess hilly and gully region as a case study area. We first investigated the spatiotemporal expansion patterns of rural settlements from 1990 to 2015 and then estimated their impacts on ecosystem services by implementing the Integrated Valuation of Ecosystem Services and Tradeoffs (InVEST) model and the global agro-ecological zones (GAEZ) model. Results showed the following: 1) edge expansion was the primary pattern of rural settlement expansion in Baota district from 1990 to 2015, and the area of edge expansion was 757.40&#xa0;h&#xa0;m<sup>2</sup>, accounting for 71.76% of the total expansion area of rural settlements. 2) Rural settlement expansion caused 1744.60&#xa0;t loss of crop yield, 40,155.78&#xa0;Mg&#xa0;C loss of carbon storage, and a significant decline in habitat quality of water areas during 1990&#x2013;2015. 3) According to the unit expansion area, the edge expansion and leapfrog expansion patterns contributed more to ecosystem services loss than the infilling expansion pattern. 4) There were gradient differences in the impacts of three expansion patterns on ecosystem services, and the impacts were gradually weakened by the increased distance. Accordingly, we concluded that the expansion of rural settlements reduced surrounding ecosystem services, especially food production service, and that the edge expansion and leapfrog expansion patterns had higher levels of stress on ecosystem services.</p>
</abstract>
<kwd-group>
<kwd>rural settlement</kwd>
<kwd>expansion patterns</kwd>
<kwd>ecosystem services</kwd>
<kwd>loess hilly and gully region</kwd>
<kwd>China</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>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Rural settlement changes reflect development in society and economics and affect ecosystem services (ESs) in the rural regional system (<xref ref-type="bibr" rid="B13">Gude et al., 2006</xref>; <xref ref-type="bibr" rid="B34">R&#xf6;der et al., 2015</xref>). Rural settlements in many countries have grown evidently due to influences such as rapid population growth and accelerated urbanization, which is especially the case in developing countries (<xref ref-type="bibr" rid="B41">Tassinari et al., 2010</xref>; <xref ref-type="bibr" rid="B37">Song and Liu, 2014</xref>). Unsystematic growth will encroach on a large amount of ecological space, which indeed will bring a series of ecological security problems like local temperature rise (<xref ref-type="bibr" rid="B52">Yang et al., 2021</xref>; <xref ref-type="bibr" rid="B59">Zhao et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Ren et al., 2022</xref>), flooding (<xref ref-type="bibr" rid="B44">Tiepolo and Galligari, 2021</xref>), water pollution (<xref ref-type="bibr" rid="B18">Kr&#xf6;ger et al., 2012</xref>; <xref ref-type="bibr" rid="B48">Wu et al., 2012</xref>), air pollution (<xref ref-type="bibr" rid="B5">Brani&#x161; and Domasov&#xe1;, 2003</xref>; <xref ref-type="bibr" rid="B60">Zhou et al., 2020</xref>), and food yield reduction (<xref ref-type="bibr" rid="B17">Ju et al., 2018</xref>; <xref ref-type="bibr" rid="B61">Zou et al., 2021</xref>). Therefore, regulating rural development and minimizing negative effects of rural settlement expansion on eco-environment are of great significance in achieving sustainable rural development.</p>
<p>To achieve this, many studies have been conducted to reveal rural settlement expansion. Through this, policymakers and rural planners can generate evidence-based suggestions for sustainable land use planning and harmonious development. For instance, <xref ref-type="bibr" rid="B36">Song et al. (2014)</xref> analyzed the impacts of socioeconomic factors (i.e., rural register population, rural housing investment, and per-capita rural housing area) on rural settlement expansion patterns in China. Similarly, <xref ref-type="bibr" rid="B8">Chen and Ye (2014)</xref> found that decisions made by individuals and village collective organizations play an important role in rural settlement expansion. Moreover, <xref ref-type="bibr" rid="B19">Li et al. (2017)</xref> analyzed the effects of rural settlement evolution on ecosystem service values in the western part of the Songliao Plain, China. In comparison, from the perspective of maintaining regional ecological security, <xref ref-type="bibr" rid="B56">Yin et al. (2020)</xref> put forward different optimization directions and management strategies of rural settlements for different areas of the Da&#x2019;an city, China.</p>
<p>More recently, the concept of expansion patterns, describing or analyzing landscape pattern changes, has been introduced into rural settlement expansion studies (<xref ref-type="bibr" rid="B4">Bhatta, 2010</xref>; <xref ref-type="bibr" rid="B51">Xu et al., 2016</xref>; <xref ref-type="bibr" rid="B9">Chen et al., 2021a</xref>). This concept offers a scientific basis for rural sustainable land use planning from the perspective of the landscape pattern. For instance, <xref ref-type="bibr" rid="B43">Tian et al. (2014)</xref> defined rural settlement dynamics into three patterns of edge expansion, dispersion, and urban encroachment in the Beijing metropolitan region, China. Their results also found that the expansion of rural settlements was mainly developed around the metropolitan region, and it gradually extended into the periphery of the metropolitan region. Moreover, <xref ref-type="bibr" rid="B10">Chen et al. (2021b)</xref> analyzed the variation in the expansion scale, speed, and pattern diversity of rural settlements by increased distance to urban built-up areas. <xref ref-type="bibr" rid="B39">Tan and Li (2013)</xref> examined the impacts of socioeconomic factors (i.e., decrease in household size, increase in numbers of migrants, and improvements in living conditions) on rural settlement expansion patterns in Beijing, China.</p>
<p>It is, therefore, concluded that rural settlement expansion is affected by various factors such as physical geography, socio-economy, and policy, which also determine the diversity of its expansion patterns (<xref ref-type="bibr" rid="B53">Yang et al., 2015</xref>). Meanwhile, the impacts of diverse expansion patterns on eco-environment were different due to morphological characteristics and scale of expansion types (<xref ref-type="bibr" rid="B50">Xian et al., 2019</xref>). Accordingly, analyses of the effects on eco-environmental are required for specific cases and different expansion patterns in order to obtain the most accurate results for rural settlement planning. To the best of the authors&#x2019; knowledge, this is one of the first studies examining the impacts of rural settlement expansion on ecosystem services from the perspective of different expansion patterns in the loess hilly and gully region. The study aims to understand such impacts through the case study of Baota, a typical county in the loess hilly and gully region, China. This study uses the landscape expansion index (LEI) to identify rural settlement expansion patterns and uses the ecological loss contribution rate to assess the impacts of different expansion patterns on eco-environment. This study sheds the light for rural development planning in ecologically fragile areas and further provides a reference for rural settlement expansion.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Study Area</title>
<p>In this study, Baota district, a district in Yan&#x2019;an in the Shannxi province of China, was selected as the case study area. It is recognized as a typical ecological fragile area with serious soil erosion (<xref ref-type="bibr" rid="B58">Yuan et al., 2019</xref>). The Baota district is situated in the south part of the loess hilly and gully region (36&#xb0;10&#x2032;N&#x2013;37&#xb0;02&#x2032; N, 109&#xb0;14&#x2032;E&#x2013;110&#xb0;50&#x2032;E), with a total territorial area of approximately 3,539&#xa0;km<sup>2</sup> (<xref ref-type="fig" rid="F1">Figure 1</xref>). In terms of topography, 50.8% of the area is hillside land and the gully density ranges from 3.04 to 5.01&#xa0;km/km<sup>2</sup>. The soil erosion area of Baota district is 3,154&#xa0;km<sup>2</sup> (89.12% of the total territorial area) with an average annual sediment loss of 22 million tons (<xref ref-type="bibr" rid="B47">Wang, 2009</xref>). Moreover, the average annual precipitation is about 550&#xa0;mm, mostly from July to September. The annual average evaporation is 1,579.7&#xa0;mm, which is about three times of precipitation.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location of Baota district.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g001.tif"/>
</fig>
<p>The rapid economic and social development in Baota district has put tremendous pressure on the local eco-environment. By the end of 2018, Baota district governed 611 administrative villages, with a total population of 472,000, and achieved gross domestic product (GDP) of 32.89 billion CNY (Chinese Yuan). Along with the rapid urbanization, the rural residential area of Baota district expanded rapidly, which occupied massive ecological land. For example, from 1990 to 2015, the rural settlement area of Baota district expanded to 1,052&#xa0;hm<sup>2</sup>, 75.52% of which were transformed from agricultural lands, 6.32% transformed from woodlands, and 15.32% from grasslands (<xref ref-type="bibr" rid="B10">Chen et al., 2021b</xref>). Therefore, taking Baota district as a case in response to eco-environment to the expansion of rural settlements is highly representative of the ecological fragile areas.</p>
</sec>
<sec id="s2-2">
<title>2.2 Data Source</title>
<p>The rural settlements in this study are defined as rural land for residential purposes and commercial purposes. The resources of the land-use data (1990, 1995, 2000, 2005, 2010, and 2015; multispectral, 30-m spatial resolution) used in this study came from the Resources and Environmental Science Data Center (<ext-link ext-link-type="uri" xlink:href="http://www.resdc.cn">http://www.resdc.cn</ext-link>). The first-level land use types are divided into agricultural land, woodland, grassland, water area, construction land, and unused land, and the subclasses land use types are divided into 17 types. For the classification of land use/cover change, its overall accuracy is more than 90%, which is the most exact land area utilized; the data monitoring is performed by remote sensing in China (<xref ref-type="bibr" rid="B25">Liu et al., 2014</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 Methods</title>
<sec id="s2-3-1">
<title>2.3.1 Landscape Expansion Index</title>
<p>The landscape expansion index was a vital indicator to define the construction land expansion pattern. In this study, the expansion pattern of rural settlements was determined by LEI (<xref ref-type="bibr" rid="B26">Liu et al., 2010</xref>). The calculation of LEI for the novel patch of rural settlement was conducted using <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>, as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mtext>LEI</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>A</italic>
<sub>
<italic>1</italic>
</sub> represents the intersecting area of the old patch of rural settlements and the buffer zone, while <italic>A</italic>
<sub>
<italic>2</italic>
</sub> represents the cross-sectional area between the former zone of non-rural settlements and the buffer zone. The buffers are defined as the zones with specified distances around a newly grown settlement patch. The buffer radius in this formula was set to 30&#xa0;m and equal to the resolution of land use raster data to ensure the reasonableness of the intersection area. In accordance with LEI, rural settlements could be divided into three expansion patterns: infilling expansion, leapfrog expansion, and edge expansion. The edge expansion pattern is defined as the novel patch of rural settlements growing from the edge, and its LEI range is between 0 and 50. The leapfrog expansion pattern is defined as the novel patch of rural settlements isolated from the old patches with the LEI equal to 0. The infilling expansion pattern refers to as a new rural settlement filling the gaps among old rural settlements with the LEI between 50 and 100.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Ecosystem Services Evaluation</title>
<p>In this study, we followed the United Nations Millennium Ecosystem Assessment (MA), which divides ecosystem services into provisioning services (i.e., production of food and water), regulating services (i.e., regulation of climate and water), supporting services (i.e., provisioning of habitat), and cultural services (i.e., spiritual, recreational, and cultural benefits) (<xref ref-type="bibr" rid="B30">Millennium Ecosystem Assessment, 2005</xref>). The cultural service is not discussed in this study because we are interested primarily in the eco-environment impacts of rural settlement expansion. Thus, we selected representative indicators of provisioning (food production), regulating (carbon storage), and supporting (habitat quality) services to quantify the impacts of rural settlement expansion on ecosystem services (<xref ref-type="bibr" rid="B15">Hou et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Wu et al., 2018</xref>; <xref ref-type="bibr" rid="B29">Lyu et al., 2021</xref>).</p>
<sec id="s2-3-2-1">
<title>2.3.2.1 Food Production</title>
<p>Food production, a critical provisioning service that ecosystems provide for human survival, is primarily assessed using census and remote sensing data (<xref ref-type="bibr" rid="B40">Tao et al., 2012</xref>; <xref ref-type="bibr" rid="B42">Tian and Qiao, 2014</xref>). However, it is difficult to assess the spatial variability of food productivity under complex environments using this regular approach. The GAEZ model comprehensively considers multiple factors (i.e., light, temperature, moisture, agro-climatic conditions, soil, and terrain) and provides a solution for evaluating food productivity under complex environmental conditions (<xref ref-type="bibr" rid="B20">Li et al., 2019</xref>). Considering the complex terrain in the loess hilly and gully region, the GAEZ model was used in our study to calculate the yield potential of crops under the average climate conditions from 1990 to 2015. The GAEZ model calculated the crop potential yield utilizing a step-by-step limiting approach, containing the climate potential yield (i.e., limiting water, temperature, and light), land potential yield (i.e., limiting temperature, light, soil, and water), and crop potential yield (i.e., limiting management approaches and level of agricultural input) (<xref ref-type="fig" rid="F2">Figure 2</xref>) (<xref ref-type="bibr" rid="B16">Jiang et al., 2020</xref>). Because of the accumulated temperature in Baota district above 10&#xb0;C was 3,245&#xb0;C, it meets the needs of the one-crop farming system (<xref ref-type="bibr" rid="B27">Liu et al., 2021</xref>). Therefore, the crop potential yield was determined using the one-crop farming system.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic diagram of overall structure and data integration of GAEZ.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g002.tif"/>
</fig>
<p>The model of GAEZ contained the rain-fed and irrigated scenarios. Under the irrigated and rain-fed conditions, for each grid cell, the potential yields of crop are revealed as follows:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>Y</italic>
<sub>
<italic>irrigated</italic>
</sub> represents the potential yield of crop under the irrigated conditions in each grid cell (kg/hm<sup>2</sup>), <italic>Y</italic>
<sub>
<italic>rain</italic>
</sub> represents the potential yield of crop under the rain-fed conditions in each grid cell (kg/hm<sup>2</sup>), and <italic>Y</italic>
<sub>
<italic>t</italic>
</sub> represents the potential yield of crop in each grid cell (kg/hm<sup>2</sup>), while <italic>i</italic> represents the ratio between total cultivated area and the irrigation-cultivated area. The results showed that the yield values followed a normal distribution, so the zonation outputs were divided in five categories using the natural breakpoint method: low yield (0&#xff1c; <italic>Y</italic> &#x2264; 1,000), medium&#x2013;low yield (1,000&#xff1c; <italic>Y</italic> &#x2264; 1,500), medium yield (1,500&#xff1c; <italic>Y</italic> &#x2264; 2000), medium&#x2013;high yield (2000&#xff1c; <italic>Y</italic> &#x2264; 3,000), and high yield (<italic>Y</italic> &#xff1e; 3,000).</p>
</sec>
<sec id="s2-3-2-2">
<title>2.3.2.2 Habitat Quality</title>
<p>Habitat quality is an ecosystem&#x2019;s ability of providing suitable living conditions for individual and population persistence (<xref ref-type="bibr" rid="B35">Sharp et al., 2015</xref>). In the model of InVEST, the habitat quality module utilizes threat factors and land use data as the major data sources, which offers an intuitive and fast approach to assess the habitat quality (<xref ref-type="bibr" rid="B1">Bai et al., 2019</xref>). The habitat quality index changes continuously from 0 to 1, and the closer the value is to 1, the more conducive it is for the maintenance of biodiversity (<xref ref-type="bibr" rid="B38">Sun et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Li et al., 2021</xref>). The calculation of habitat quality was conducted using <xref ref-type="disp-formula" rid="e3">Eq. 3</xref>, as follows:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mi>z</mml:mi>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mi>z</mml:mi>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>k</mml:mi>
<mml:mi>z</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the habitat quality value (unitless relative value of 0&#x2013;1) at the <italic>x</italic>th pixel of the <italic>j</italic> type land; <italic>H</italic>
<sub>
<italic>j</italic>
</sub> represents the value of habitat suitability for the <italic>j</italic> type land; <inline-formula id="inf2">
<mml:math id="m5">
<mml:mrow>
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mi>z</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> represents the relative sensitivity to threat sources at <italic>x</italic>th pixel of land type <italic>j</italic>; <italic>z</italic> is the normalization constant; and <italic>k</italic> represents the semi-saturation constant. Based on biodiversity conservation objectives, we selected agricultural land, woodland, grassland, and water area as habitats. Subclasses habitats consisted of paddy land, arid land, forest land, shrubwood, sparse woodland, other woodland, high coverage grassland, medium coverage grassland, low coverage grassland, river canal, lake, and reservoir pond. The parameters, habitat suitability, maximum distance of threat, and threat factors weight along with the sensitivity of distinct habitats to threat factors, are determined based on literature and expert knowledge (<xref ref-type="table" rid="T1">Table 1</xref>) (<xref ref-type="bibr" rid="B32">Polasky et al., 2011</xref>; <xref ref-type="bibr" rid="B3">Baral et al., 2014</xref>; <xref ref-type="bibr" rid="B15">Hou et al., 2017</xref>; <xref ref-type="bibr" rid="B9">Chen et al., 2021a</xref>). The zonation outputs were divided in five levels (equal interval) of habitat quality scores: low quality (0 &#xff1c; <italic>Q</italic> &#x2264; 0.2), medium&#x2013;low quality (0.2 &#xff1c; <italic>Q</italic> &#x2264; 0.4), medium quality (0.4 &#xff1c; <italic>Q</italic> &#x2264; 0.6), medium&#x2013;high quality (0.6 &#xff1c; <italic>Q</italic> &#x2264; 0.8), and high quality (0.8 &#xff1c; <italic>Q</italic> &#x2264; 1).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Habitat suitability and sensitivity of habitats to threats.</p>
</caption>
<table>
<thead>
<tr>
<td colspan="2" align="left">Habitats</td>
<td rowspan="2" align="center">Habitat suitability</td>
<td colspan="5" align="center">Threats</td>
</tr>
<tr>
<td align="left">1st Level classes</td>
<td align="center">Subclasses</td>
<td align="center">Urban land</td>
<td align="center">Rural settlement</td>
<td align="center">Other construction land</td>
<td align="center">Paddy land</td>
<td align="center">Arid land</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Agricultural land</td>
<td align="left">Paddy land</td>
<td align="center">0.4</td>
<td align="center">0.5</td>
<td align="center">0.35</td>
<td align="center">0.2</td>
<td align="center">0</td>
<td align="center">1</td>
</tr>
<tr>
<td align="left">Arid land</td>
<td align="center">0.3</td>
<td align="center">0.5</td>
<td align="center">0.35</td>
<td align="center">0.2</td>
<td align="center">1</td>
<td align="center">0</td>
</tr>
<tr>
<td rowspan="4" align="left">Woodland</td>
<td align="left">Forest land</td>
<td align="center">1</td>
<td align="center">0.9</td>
<td align="center">0.7</td>
<td align="center">0.5</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="left">Shrubwood</td>
<td align="center">0.7</td>
<td align="center">0.6</td>
<td align="center">0.4</td>
<td align="center">0.2</td>
<td align="center">0.3</td>
<td align="center">0.4</td>
</tr>
<tr>
<td align="left">Sparse woodland</td>
<td align="center">0.6</td>
<td align="center">0.8</td>
<td align="center">0.6</td>
<td align="center">0.4</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="left">Other woodland</td>
<td align="center">0.4</td>
<td align="center">0.8</td>
<td align="center">0.6</td>
<td align="center">0.4</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
</tr>
<tr>
<td rowspan="3" align="left">Grassland</td>
<td align="left">High coverage grassland</td>
<td align="center">0.7</td>
<td align="center">0.6</td>
<td align="center">0.45</td>
<td align="center">0.3</td>
<td align="center">0.4</td>
<td align="center">0.45</td>
</tr>
<tr>
<td align="left">Medium coverage grassland</td>
<td align="center">0.6</td>
<td align="center">0.65</td>
<td align="center">0.5</td>
<td align="center">0.35</td>
<td align="center">0.45</td>
<td align="center">0.5</td>
</tr>
<tr>
<td align="left">Low coverage grassland</td>
<td align="center">0.4</td>
<td align="center">0.7</td>
<td align="center">0.55</td>
<td align="center">0.4</td>
<td align="center">0.5</td>
<td align="center">0.55</td>
</tr>
<tr>
<td rowspan="3" align="left">Water area</td>
<td align="left">River canal</td>
<td align="center">1</td>
<td align="center">0.8</td>
<td align="center">0.6</td>
<td align="center">0.4</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="left">Lake</td>
<td align="center">0.9</td>
<td align="center">0.85</td>
<td align="center">0.65</td>
<td align="center">0.45</td>
<td align="center">0.55</td>
<td align="center">0.65</td>
</tr>
<tr>
<td align="left">Reservoir pond</td>
<td align="center">0.9</td>
<td align="center">0.9</td>
<td align="center">0.7</td>
<td align="center">0.5</td>
<td align="center">0.6</td>
<td align="center">0.7</td>
</tr>
<tr>
<td align="left">Relative weight</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.8</td>
<td align="center">0.5</td>
<td align="center">0.8</td>
<td align="center">0.6</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="left">MAX_DIST</td>
<td align="left"/>
<td align="left"/>
<td align="center">5</td>
<td align="center">2.5</td>
<td align="center">6</td>
<td align="center">1.5</td>
<td align="center">1.5</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>a</label>
<p>MAX_DIST: the maximum distance over which each threat affects habitat quality (measured in km).</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2-3-2-3">
<title>2.3.2.3 Carbon Storage</title>
<p>The InVEST carbon storage module estimated the total carbon sequestration by using the land use-and-cover data and the amount of carbon stored in carbon pools (<xref ref-type="bibr" rid="B14">He et al., 2016</xref>). The formula for carbon stocks in the InVEST model is as follows:<disp-formula id="e4">
<mml:math id="m6">
<mml:mrow>
<mml:mtext>C</mml:mtext>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>B</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <italic>CS</italic>
<sub>
<italic>xj</italic>
</sub> is the carbon stocks value at the <italic>x</italic>th pixel of land type <italic>j</italic>, Mg&#xa0;C; <italic>A</italic>
<sub>
<italic>xj</italic>
</sub> represents the <italic>x</italic>th pixel area for the <italic>j</italic> type land, hm<sup>2</sup>; <italic>AC</italic>
<sub>
<italic>j</italic>
</sub> represents the aboveground density of carbon for the <italic>j</italic> type land, Mg&#xa0;C/hm<sup>2</sup>; <italic>BC</italic>
<sub>
<italic>j</italic>
</sub> represents the underground density of carbon for the <italic>j</italic> type land, Mg&#xa0;C/hm<sup>2</sup>; <italic>SC</italic>
<sub>
<italic>j</italic>
</sub> represents the density of soil organic carbon for the <italic>j</italic> type land, Mg&#xa0;C/hm<sup>2</sup>; and <italic>DC</italic>
<sub>
<italic>j</italic>
</sub> represents the density of dead organic carbon for the <italic>j</italic> type land, Mg&#xa0;C/hm<sup>2</sup>.</p>
<p>The carbon density parameter determines the accuracy of the simulation. Therefore, it is necessary to reasonably define the carbon density. Carbon density is affected by various factors (i.e., climate, vegetation, parent material, and topography), and the carbon density parameters in different regions are quite different. In this study, we adopted the average value of the carbon density of each land use type based on the published literature in recent years, whose study areas were located in the loess hilly and gully region, and built a carbon density database of different land use types. (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Carbon density for each land use type (unit: Mg&#xa0;C/hm<sup>2</sup>).</p>
</caption>
<table>
<thead>
<tr>
<td colspan="2" align="left">LULC type</td>
<td colspan="4" align="center">Carbon density (Mg C/hm<sup>2</sup>)</td>
<td rowspan="2" align="center">References</td>
</tr>
<tr>
<td align="left">1st Level classes</td>
<td align="center">Subclasses</td>
<td align="center">C<sub>above</sub>
</td>
<td align="center">C<sub>below</sub>
</td>
<td align="center">C<sub>soil</sub>
</td>
<td align="center">C<sub>dead</sub>
</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Agricultural land</td>
<td align="left">Paddy land</td>
<td align="center">4.7</td>
<td align="center">0.68</td>
<td align="center">34.8</td>
<td align="center">0</td>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B24">Liu and Zhao (2018</xref>); <xref ref-type="bibr" rid="B2">Bao (2015</xref>)</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Arid land</td>
<td align="center">4.02</td>
<td align="center">0.76</td>
<td align="center">25.9</td>
<td align="center">6.5</td>
</tr>
<tr>
<td align="left">Woodland</td>
<td align="left">Forest land</td>
<td align="center">30.9</td>
<td align="center">14.66</td>
<td align="center">82.29</td>
<td align="center">13</td>
<td rowspan="4" align="left">
<xref ref-type="bibr" rid="B2">Bao (2015</xref>); <xref ref-type="bibr" rid="B23">Liang et al. (2021</xref>)</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Shrubwood</td>
<td align="center">7.14</td>
<td align="center">3.09</td>
<td align="center">64.29</td>
<td align="center">2</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Sparse woodland</td>
<td align="center">5.48</td>
<td align="center">2.42</td>
<td align="center">64.29</td>
<td align="center">2</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Other woodland</td>
<td align="center">1.31</td>
<td align="center">2.33</td>
<td align="center">29.9</td>
<td align="center">0.35</td>
</tr>
<tr>
<td align="left">Grassland</td>
<td align="left">High coverage grassland</td>
<td align="center">3.37</td>
<td align="center">7.48</td>
<td align="center">44.36</td>
<td align="center">4.47</td>
<td rowspan="3" align="left">
<xref ref-type="bibr" rid="B11">Cheng et al. (2011</xref>); <xref ref-type="bibr" rid="B2">Bao (2015</xref>); <xref ref-type="bibr" rid="B23">Liang et al. (2021</xref>)</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Medium coverage grassland</td>
<td align="center">2.33</td>
<td align="center">7.3</td>
<td align="center">43.72</td>
<td align="center">3.8</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Low coverage grassland</td>
<td align="center">1.66</td>
<td align="center">3.41</td>
<td align="center">10.86</td>
<td align="center">2</td>
</tr>
<tr>
<td align="left">Water area</td>
<td align="left">River canal</td>
<td align="center">3.25</td>
<td align="center">2.42</td>
<td align="center">29.9</td>
<td align="center">0.35</td>
<td rowspan="3" align="left">
<xref ref-type="bibr" rid="B2">Bao (2015</xref>); <xref ref-type="bibr" rid="B23">Liang et al. (2021</xref>)</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Lake</td>
<td align="center">2.75</td>
<td align="center">0</td>
<td align="center">144.13</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Reservoir pond</td>
<td align="center">2.3</td>
<td align="center">0</td>
<td align="center">146.26</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Construction land</td>
<td align="left">Urban built-up land</td>
<td align="center">0.01</td>
<td align="center">0</td>
<td align="center">23.3</td>
<td align="center">0</td>
<td rowspan="3" align="left">
<xref ref-type="bibr" rid="B24">Liu and Zhao (2018</xref>); <xref ref-type="bibr" rid="B23">Liang et al. (2021</xref>)</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Rural settlement</td>
<td align="center">0.01</td>
<td align="center">0</td>
<td align="center">23.3</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Other construction land</td>
<td align="center">0.01</td>
<td align="center">0</td>
<td align="center">22.2</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Unused land</td>
<td align="left">Bare land</td>
<td align="center">0.01</td>
<td align="center">0</td>
<td align="center">3.6</td>
<td align="center">0</td>
<td rowspan="2" align="left">
<xref ref-type="bibr" rid="B24">Liu and Zhao, (2018)</xref>
</td>
</tr>
<tr>
<td align="left"/>
<td align="left">Bare rock</td>
<td align="center">0.01</td>
<td align="center">0</td>
<td align="center">3.6</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: 1 Mg C &#x003D; 1 &#x00D7; 10<sup>6</sup> g C.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2-3-2-4">
<title>2.3.2.4 Ecological Loss Contribution Rate</title>
<p>The contribution rate of rural settlement expansion to ecosystem services loss refers to the loss of ecosystem services resulting from the expansion of rural settlements. This index can quantify the effect of rural settlement expansion on regional ecosystem services and help to study the major factors leading to the loss of ecosystem services. The formula is as follows:<disp-formula id="e5">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <italic>R</italic>
<sub>
<italic>ij</italic>
</sub> is the loss contribution rate of the <italic>i</italic>-type ecosystem service caused by the rural settlement expansion pattern <italic>j</italic>; <italic>ES</italic>
<sub>
<italic>ij</italic>
</sub> is the loss value of the <italic>i</italic>-type ecosystem service caused by the rural settlement expansion pattern <italic>j</italic>; and <italic>ES</italic>
<sub>
<italic>i</italic>
</sub> is the loss value of the <italic>i</italic>-type ecosystem service caused by the rural settlement expansion. In addition, in accordance with <xref ref-type="bibr" rid="B14">He et al. (2016)</xref> and <xref ref-type="bibr" rid="B12">Goldstein et al. (2012)</xref>, for residential land, we presumed that the ecosystem services of rural settlements can be ignored owing to its relatively small value of ecosystem services, which was hard to quantify for the residential land with high heterogeneousness.</p>
</sec>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Spatiotemporal Expansion Patterns of Rural Settlement</title>
<p>Edge expansion was the major rural settlement expansion pattern in Baota district from 1990 to 2015. The area with edge expansion was 757.4&#xa0;h&#xa0;m<sup>2</sup>, accounting for 71.76% of the total expansion area in the course of study. During the same time period, the areas with infilling and leapfrog patterns were 86.1&#xa0;h&#xa0;m<sup>2</sup> and 211.9&#xa0;h&#xa0;m<sup>2</sup>, respectively, accounting for 8.16 and 20.08% of the total expanded area, respectively.</p>
<p>The rural settlement expansion patterns in central suburb areas (20&#xa0;km within the county center) were diversified while those in far-flung suburb areas (20&#xa0;km outside the county center) were simplistic (<xref ref-type="fig" rid="F3">Figure 3F</xref>). Specifically, between 1990 and 1995, edge expansion was the main expansion pattern of rural settlement expansion and concentrated in central suburb areas (<xref ref-type="fig" rid="F3">Figure 3A</xref>). From 1995 to 2005, with the &#x201c;Grain for Green&#x201d; Project implemented, rural settlements in Baota district gradually concentrated from hillsides to valleys. Thus, the edge expansion pattern dominated in far-flung suburb areas. Meanwhile, with the development of township enterprises, the leapfrog expansion pattern emerged in central suburb areas (<xref ref-type="fig" rid="F3">Figures 3B,C</xref>). Although the expansion of rural settlements in Baota district was gradually active before 2005, it was difficult to form a filling expansion model due to the small scale of expansion. In the period between 2005 and 2010, the infilling expansion pattern emerged but in central suburb areas, and the area of leapfrog expansion pattern increased. The edge expansion pattern was still the primary mode in far-flung suburb areas (<xref ref-type="fig" rid="F3">Figure 3D</xref>). In the period of 2010&#x2013;2015, as a result, the area of leapfrog and infilling expansion patterns increased to 151.3&#xa0;h&#xa0;m<sup>2</sup> and 55.3&#xa0;h&#xa0;m<sup>2</sup> in central suburb areas (<xref ref-type="fig" rid="F3">Figure 3E</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Spatiotemporal expansion patterns of rural settlements in Baota district during different periods <bold>(A)</bold> 1990&#x2013;1995, <bold>(B)</bold> 1995&#x2013;2000, <bold>(C)</bold> 2000&#x2013;2005, <bold>(D)</bold> 2005&#x2013;2010, <bold>(E)</bold> 2010&#x2013;2015 and <bold>(F)</bold> 1990-2015.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Ecosystem Services Change</title>
<sec id="s3-2-1">
<title>3.2.1 Change of Food Production</title>
<p>The estimated total crop yield of Baota district in 1990 and 2015 were 254,913&#xa0;t and 172,931&#xa0;t, respectively, which decreased by 81,982&#xa0;t based on the GAEZ model (<xref ref-type="fig" rid="F4">Figures 4A,B</xref>). The change area of low yield, medium&#x2013;low yield, medium yield, medium&#x2013;high yield, and high yield areas were &#x2212;44.6 km<sup>2</sup>, 91.2 km<sup>2</sup>, &#x2212;88.5 km<sup>2</sup>, &#x2212;241.2&#xa0;km<sup>2</sup>, and &#x2212;60.2 km<sup>2</sup>, respectively (<xref ref-type="fig" rid="F4">Figure 4C</xref>). Obviously, the medium&#x2013;high yield area had largest loss, and the area ratio dropped by 12.5%. From the spatial distribution perspective, the crop yield was high in valleys and low in hillside. Specifically, the high yield and medium&#x2013;high yield areas were concentrated in the valley fields with slopes below 15&#xb0;. The low yield, medium&#x2013;low yield, and medium yield areas were distributed in the hillside fields with slopes above 15&#xb0;. Previous studies reported that newly added rural settlements were primarily concentrated in areas with slope below 15&#xb0; in Baota district (<xref ref-type="bibr" rid="B10">Chen et al., 2021b</xref>), which resulted in a large loss of medium&#x2013;high yield areas.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Distribution of crop yield in Baota district for the years <bold>(A)</bold> 1990 and <bold>(B)</bold> 2015; <bold>(C)</bold> the area changes of different crop yield levels in Baota district from 1990 to 2015. HY: high yield, M-HY: medium&#x2013;high yield, MY: medium yield, M-LY: medium&#x2013;low yield, LY: low yield.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g004.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Change of Habitat Quality</title>
<p>The habitat quality value of Baota district in 1990 and 2015 were 0.43 and 0.48 based on <xref ref-type="disp-formula" rid="e3">Eq. 3</xref>, which indicated that the overall quality of habitat has improved over the course of study. The proportion of the low-quality areas was maintained at approximately 6%. The proportion of areas with medium&#x2013;low quality reduced in this period. Particularly, the proportion of the areas with medium&#x2013;low quality reduced from 56.7 to 43.6%. On the contrary, from 1990 to 2015, the proportion of high quality, medium&#x2013;high quality, and medium quality areas raised, with rates of 1.2, 7.1, and 5.4%, respectively. In general, the expanded areas of medium quality habitats and declined areas of medium&#x2013;low quality habitats led to the regional habitat quality improvement over the past 25 years in Baota district (<xref ref-type="fig" rid="F5">Figures 5A,B</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Distribution of habitat quality in Baota district for the years <bold>(A)</bold> 1990 and <bold>(B)</bold> 2015; <bold>(C)</bold> the habitat quality of different land use types in Baota district from 1990 to 2015. HQ: high quality, M-HQ: medium&#x2013;high quality, MQ: medium quality, M-LQ: medium&#x2013;low quality, LQ: low quality.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g005.tif"/>
</fig>
<p>The habitat quality of diverse land use types presented a downward trend during the study period (<xref ref-type="fig" rid="F5">Figure 5C</xref>). Specifically, the habitat quality of water areas in Baota decreased by 34.2% from 1990 to 2015, and the rate of annual average change was &#x2212;1.66%. The average habitat quality of woodland, grassland, and agricultural land decreased by 2.9, 4.7, and 6.8%, respectively, from 1990 to 2015, and the rate of annual average change was &#x2212;0.12, &#x2212;0.19, and &#x2212;0.28%, correspondingly.</p>
<p>The habitat quality of Baota district revealed the spatial distribution pattern of &#x201c;low in the north and high in the south&#x201d;, and the overall spatial manner had a remarkable regional difference during 1990&#x2013;2015. The medium&#x2013;high quality areas and high quality areas were mainly distributed in the southern part of Baota district, and the primary types of land use were grassland and forests. The medium&#x2013;low quality areas decreased significantly in the northern part of Baota district. However, the changing features of medium&#x2013;low quality and medium quality areas were opposite in the northern area of Baota district from 1990 to 2015. There was a noticeable increase in the medium quality areas, while the low quality areas showed a trend of gathering to urban built-up areas.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Change of Carbon Storage</title>
<p>The estimated total carbon storage value of Baota district in 1990 and 2015 were 2.59 &#xd7; 10<sup>7</sup>&#xa0;Mg&#xa0;C and 2.66 &#xd7; 10<sup>7</sup>&#xa0;Mg&#xa0;C, respectively, based on the results of the InVEST model. The carbon storage had a strong relation with the land-use type and topography in the area of research. As a result, the carbon storage in Baota district exhibited significant regional differences in the overall spatial pattern. For the carbon storage, the high-value parts were mostly in the southern areas of Baota district, and the land-use types were mainly grassland and woodland, while the area of low-carbon storage was mainly distributed in the northern areas of Baota district, and the land use types were primarily agricultural land, rural settlement, and urban built-up areas (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Distribution of carbon storage in Baota district for the years <bold>(A)</bold> 1990 and <bold>(B)</bold> 2015; <bold>(C)</bold> the carbon storage of different land use types in Baota district from 1990 to 2015.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g006.tif"/>
</fig>
<p>From 1990 to 2015, the carbon storage for distinct land use types exhibited diverse changing characteristics (<xref ref-type="fig" rid="F6">Figure 6C</xref>). The carbon storage of woodland, grassland, and agricultural land revealed a fluctuated pattern. Specifically, the woodland carbon storage increased by 9.9 &#xd7; 10<sup>5</sup>&#xa0;Mg&#xa0;C and showed an &#x201c;increase &#x2192; decrease &#x2192; increase &#x2192; decrease&#x201d; route during the study period. The carbon storage of grassland increased by 1.24 &#xd7; 10<sup>6</sup>&#xa0;Mg&#xa0;C and revealed a route of &#x201c;decrease &#x2192; increase &#x2192; decrease&#x201d; in this period. The carbon storage of agricultural land decreased by 1.51 &#xd7; 10<sup>6</sup>&#xa0;Mg&#xa0;C and showed an &#x201c;increase &#x2192; decrease&#x201d; route during the time period. The carbon storage of water area remained around 3 &#xd7; 10<sup>4</sup>&#xa0;Mg&#xa0;C.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Impacts of Rural Settlement Expansion on Ecosystem Services</title>
<p>Rural settlement expansion inevitably had a negative impact on local ecosystem services (<xref ref-type="table" rid="T3">Table 3</xref>). Specifically, the habitat quality of Baota district improved from 0.43 to 0.48, which related to more than 300&#xa0;km<sup>2</sup> agricultural land transformed into woodland and grassland. Yet, the quality of different habitats decreased during the time period, especially in the water area. This was mainly due to the fact that most of the recently developed settlements situated near the water area were highly sensitive to threat sources. In addition, the total carbon storage in Baota district increased during 1990&#x2013;2015, but the loss of carbon storage resulting from the expansion of rural settlement was up to 40,155.78&#xa0;Mg&#xa0;C. Furthermore, the total output of crop in Baota district decreased to 1744.60&#xa0;t during the study period. The reduction in food production was shown to be related to various explanations, such as climate change, returning agricultural land to woodland, abandoning agricultural land, and rural settlement expansion (<xref ref-type="bibr" rid="B6">Brown, 2016</xref>; <xref ref-type="bibr" rid="B27">Liu et al., 2021</xref>). Our research found that the decrease of medium&#x2013;high yield areas was the main reason that led to regional food production decline over the past 25&#xa0;years in Baota district, and 461.52&#xa0;h&#xa0;m<sup>2</sup> of medium&#x2013;high yield areas was transformed into rural settlements.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Land use transition and ecosystem services loss contribution rate in Baota district.</p>
</caption>
<table>
<thead>
<tr>
<td rowspan="2" align="left">Land use transition</td>
<td colspan="2" align="center">Habitat quality loss</td>
<td colspan="2" align="center">Carbon storage loss</td>
<td colspan="2" align="center">Crop yield loss</td>
</tr>
<tr>
<td align="center">Loss area (hm<sup>2</sup>)</td>
<td align="center">Contribution rate (%)</td>
<td align="center">Loss (Mg C)</td>
<td align="center">Contribution rate (%)</td>
<td align="center">Loss (ton)</td>
<td align="center">Contribution rate (%)</td>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Agricultural land &#x2192; Edge expansion</td>
<td align="center">556.20</td>
<td align="center">39.43</td>
<td align="center">20,679.52</td>
<td align="center">51.48</td>
<td align="center">1,210.10</td>
<td align="center">69.36</td>
</tr>
<tr>
<td align="left">Woodland &#x2192; Edge expansion</td>
<td align="center">63.20</td>
<td align="center">13.45</td>
<td align="center">3,840.48</td>
<td align="center">9.56</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Grassland &#x2192; Edge expansion</td>
<td align="center">120.20</td>
<td align="center">17.04</td>
<td align="center">3,285.22</td>
<td align="center">8.18</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Water area &#x2192; Edge expansion</td>
<td align="center">17.80</td>
<td align="center">3.78</td>
<td align="center">1,403.22</td>
<td align="center">3.49</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Agricultural land &#x2192; Leapfrog expansion</td>
<td align="center">163.00</td>
<td align="center">11.56</td>
<td align="center">6,060.34</td>
<td align="center">15.09</td>
<td align="center">384.70</td>
<td align="center">22.05</td>
</tr>
<tr>
<td align="left">Woodland &#x2192; Leapfrog expansion</td>
<td align="center">2.10</td>
<td align="center">0.45</td>
<td align="center">141.85</td>
<td align="center">0.35</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Grassland &#x2192; Leapfrog expansion</td>
<td align="center">35.40</td>
<td align="center">5.03</td>
<td align="center">1,001.37</td>
<td align="center">2.49</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Water area &#x2192; Leapfrog expansion</td>
<td align="center">11.40</td>
<td align="center">2.41</td>
<td align="center">672.01</td>
<td align="center">1.56</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Agricultural land &#x2192; Infilling expansion</td>
<td align="center">77.80</td>
<td align="center">5.51</td>
<td align="center">2,829.60</td>
<td align="center">7.20</td>
<td align="center">149.80</td>
<td align="center">8.59</td>
</tr>
<tr>
<td align="left">Woodland &#x2192; Infilling expansion</td>
<td align="center">1.40</td>
<td align="center">0.30</td>
<td align="center">71.64</td>
<td align="center">0.18</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Grassland &#x2192; Infilling expansion</td>
<td align="center">6.00</td>
<td align="center">0.86</td>
<td align="center">109.24</td>
<td align="center">0.27</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Water area &#x2192; Infilling expansion</td>
<td align="center">0.9</td>
<td align="center">0.18</td>
<td align="center">61.29</td>
<td align="center">0.15</td>
<td align="center">&#x2012;</td>
<td align="center">&#x2012;</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">1,055.40</td>
<td align="center">100.00</td>
<td align="center">40,155.78</td>
<td align="center">100.00</td>
<td align="center">1744.60</td>
<td align="center">100.00</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The transition from agricultural land, grassland, and woodland to the edge expansion pattern of rural settlements explained 69.92% of the loss contribution rate, which deteriorated the quality of human settlements in Baota district. The transformation from agricultural land and woodland to edge expansion and from agricultural land to leapfrog expansion pattern was the major types of land transition that resulted in the reduction of carbon storage in Baota district, and their contribution rate reached 76.13%. Furthermore, the transition from agricultural land to edge expansion pattern was the primary type of land transition that led to the reduction of crop yield in Baota district with the contribution rate of 69.36%.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Differentiated Impacts of Three Expansion Patterns on Ecosystem Services</title>
<p>Edge expansion and leapfrog expansion patterns increased the risk of ecosystem services loss. According to <xref ref-type="table" rid="T3">Table 3</xref>, leapfrog expansion and edge expansion in total contributed up to 93.15% of the habitat quality loss; these two expansion patterns together contributed to 92.20% of the loss of carbon storage, and their total contribution rate to the loss of crop yield was 91.41%. According to the unit area of the expansion of rural settlement, the ecological effects of the diverse rural settlement expansion patterns were different (<xref ref-type="fig" rid="F7">Figure 7</xref>). More than 38.56&#xa0;Mg&#xa0;C carbon stocks were lost for each additional hectare of the edge expansion pattern, more than 36.95&#xa0;Mg&#xa0;C carbon stocks were lost for each additional hectare of the leapfrog pattern, and more than 36.41&#xa0;Mg&#xa0;C carbon stocks were lost for each additional hectare of the infilling pattern. Meanwhile, the edge and leapfrog expansion patterns caused more habitat quality loss than the infilling pattern. Additionally, the leapfrog expansion pattern caused 2.36&#xa0;t crop yield loss for each additional hectare, more than the edge pattern (2.18&#xa0;t) and the infilling pattern (1.93&#xa0;t). To summarize, the leapfrog and edge expansion patterns caused more habitat quality, carbon storage, and crop yield loss than the infilling expansion pattern. Our results, to some extent, supported previous findings that the edge and leapfrog expansion patterns were the primary mode causing dramatically declines in ecosystem services (<xref ref-type="bibr" rid="B43">Tian et al., 2014</xref>; <xref ref-type="bibr" rid="B51">Xu et al., 2016</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Ecological land and ecosystem services loss resulting from per hectare of rural settlement expansion patterns.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g007.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Gradient Changes in the Impacts of Three Expansion Patterns on Ecosystem Services</title>
<p>We took the county government location as the center and conducted a gradient analysis with equal intervals of 10&#xa0;km. Results indicated that there were gradient differences in the impact of three expansion patterns on ecosystem services. The impacts of the edge and infilling expansion patterns on the four type habitats were mainly concentrated within 10&#xa0;km, and the impacts were gradually weakened by increased distance (<xref ref-type="fig" rid="F8">Figures 8A,C</xref>). The impacts of the leapfrog expansion pattern on the four type habitats were mainly concentrated in the range of 20 km, particularly the impact on agricultural land was mainly within 10&#x2013;20&#xa0;km (<xref ref-type="fig" rid="F8">Figure 8B</xref>). This further confirmed the phenomenon of habitat quality degradation around urban built-up areas (<xref ref-type="fig" rid="F8">Figure 8D</xref>). Furthermore, the impacts of three expansion patterns on crop yield and carbon storage were mainly concentrated within 10&#xa0;km, and the impacts again were gradually weakened by increased distance. It is noted that in the 10&#x2013;20&#xa0;km range, the impacts of the leapfrog pattern on ecosystem services were higher than the edge and infilling expansion patterns (<xref ref-type="fig" rid="F8">Figures 8E,F</xref>). This was similar to the circle-level expansion characteristics of cities (<xref ref-type="bibr" rid="B55">Yang et al., 2018</xref>). The &#x201c;inner circle&#x201d; was dominated by the edge and the infilling expansion modes, while the &#x201c;outer circle&#x201d; was dominated by the leapfrog expansion mode. With the continuous expansion of city, the built-up area of the &#x201c;inner circle&#x201d; was increasingly connected with the leapfrog patches of the &#x201c;outer circle&#x201d;, thus forming a new urban built-up area (<xref ref-type="bibr" rid="B4">Bhatta, 2010</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Gradient changes in the impacts of three expansion patterns on ecosystem services. <bold>(A)</bold> Edge expansion pattern on habitat quality; <bold>(B)</bold> leapfrog expansion pattern on habitat quality; <bold>(C)</bold> infilling expansion pattern on habitat quality; <bold>(D)</bold> habitat quality change; <bold>(E)</bold> three expansion patterns on crop yield; <bold>(F)</bold> three expansion patterns on carbon storage. AL: agricultural land, WL: woodland, GL: grassland, WA: water area.</p>
</caption>
<graphic xlink:href="fenvs-10-857776-g008.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Key Issue Causing the Conflict Between Rural Settlement and Ecosystem Services</title>
<p>The unbalanced growth between population and residential land have led to conflicts between human and ecosystem services (<xref ref-type="bibr" rid="B7">Castro-Prieto et al., 2017</xref>). The aforementioned analysis suggested that the area of rural settlement in Baota district has grown remarkably with an average annual growth rate of 3.13% during the study period. Especially after 2005, with the stimulation of the &#x201c;New Countryside Construction&#x201d; policy and other policies for rural development, the expansion speed of rural settlement was accelerated (<xref ref-type="bibr" rid="B21">Li and Song, 2020</xref>), and in Baota district specifically, the average annual expansion rate of the rural settlement increased to 4.31%. However, the incoordination between rural settlement expansion and rural population growth has become increasingly noticeable. In particular, the average annual change rate of rural settlement in Baota district were 1.93%, 2.58%, and 6.08% in 2000&#x2013;2005, 2005&#x2013;2010, and 2010&#x2013;2015, respectively. Yet, the changing characteristics of rural populations in Baota district were opposite. The average annual change rate of rural populations continuously decreased from 3.47% to 0.25% during the time period. Despite the decline in rural population growth rate, our study found that the rural settlement expansion in Baota district was still dominated by the edge and leapfrog expansion patterns which was in line with previous studies (<xref ref-type="bibr" rid="B39">Tan and Li, 2013</xref>; <xref ref-type="bibr" rid="B43">Tian et al., 2014</xref>; <xref ref-type="bibr" rid="B51">Xu et al., 2016</xref>).</p>
</sec>
<sec id="s4-4">
<title>4.4 Implications for Rural Land Management</title>
<p>In the course of rapid urbanization and economic development, the ecologically fragile region is facing dual pressures of rural development and eco-environment protection (<xref ref-type="bibr" rid="B57">Yu et al., 2018</xref>). Rural settlements, therefore, should be appropriately planned in order to balance environmental and socioeconomic benefits and then achieve the rural sustainable development. (<xref ref-type="bibr" rid="B31">Pacione, 2013</xref>; <xref ref-type="bibr" rid="B46">Tudor et al., 2014</xref>). In this study, the spatial distribution, degree, and eco-environment effects of rural settlement expansion patterns are quite different in Baota district, which determine that the governance strategies of rural settlements should be tailored to local conditions. For example, in the far-flung suburb area, where outside 20&#xa0;km from the county center, the expansion intensity of rural settlement is relatively weak. The most prominent problem is food production loss due to the occupation of cultivated land in edge expansion. In this type of area, the red line for cultivated land protection should be focused on preventing further loss of cultivated land. At the same time, the gully land consolidation project should be carried out to achieve a balance between the occupation and compensation of cultivated land. In area within 10&#x2013;20&#xa0;km from the county center, the problem of food production and carbon storage loss caused by the leapfrog expansion is most prominent. In this type of area, the red line of &#x201c;planning and development of villages&#x201d; extremely needs more attention, so as to limit the disorderly expansion of rural settlements and improve the efficiency of land use. In area within 10&#xa0;km from the city center, the land used for settlements expanded rapidly, and the habitat quality, carbon storage, and grain yield all declined obviously. In this type of area, strict space utilization control measures should be implemented, focusing on the delineation of ecological protection red lines to prevent ecological land from being further eroded.</p>
<p>In addition, there are inevitably some limitations in this study. For instance, we mainly analyzed the expansion of rural settlements and their ecological effects from 1990 to 2015. In the follow-up study, we will supplement the research on the latest dynamics of rural settlement expansion and its impact on eco-environment. In addition, the parameters for the InVEST model in this study are mainly based on experts&#x2019; experience and published literature. We would further improve our approach by field sampling or a biogeochemical model in future study.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>This study analyzed the dynamic changes of rural settlement and used GAEZ and InVEST models to quantitatively examine the associated effects of ecosystem services in Baota district. The results showed the following: 1) the change of rural settlement in the area of research is extensive during 1990&#x2013;2015, reflecting the rapid expanding features of the edge expansion pattern, and those areas with edge expansion are mostly transitioned from agricultural lands. 2) Overall, the total yield of crop decreased over the last 25&#xa0;years. The habitat quality and carbon storage were also affected by rural settlement expansion, although the average habitat quality and total carbon storage of Baota district increased during the time period. 3) The habitat quality deterioration was mainly due to the conversion from agricultural land, grassland, and woodland to the edge expansion pattern; the predominant reason of the decreased carbon storage was the transformation from agricultural land and woodland to the edge expansion pattern, and the decrease of crop yield was mainly caused by the transition from agricultural land to edge expansion pattern. This study suggested that the governance strategies for rural settlements should be tailored to local conditions and appropriately planned in order to balance environmental and socioeconomic benefits and then achieve the rural sustainable development.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>ZC: conceptualization, methodology, and writing&#x2013;original draft. YL: formal analysis and writing&#x2013;review and editing. ZL: formal analysis and writing&#x2013;review and editing. JW: supervision and funding acquisition. XL: formal analysis and data curation.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was supported by the National Natural Science Foundation of China (Grant Nos. 42001204 and No.42071227) and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDA28130400 and XDA19040402).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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