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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1130070</article-id>
<article-id pub-id-type="doi">10.3389/feart.2023.1130070</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Machine learning brings new insights for reducing salinization disaster</article-title>
<alt-title alt-title-type="left-running-head">An et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2023.1130070">10.3389/feart.2023.1130070</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>An</surname>
<given-names>Peng</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>Wenfeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1433321/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Xi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhuang</surname>
<given-names>Zhikai</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cui</surname>
<given-names>Lujie</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Ningbo University of Technology</institution>, <addr-line>Ningbo</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Shanghai Institute of Technology</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Xinjiang Institute of Ecology and Geography</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Urumqi</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Sino-Belgian Joint Laboratory of Geo-Information</institution>, <addr-line>Urumqi</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>CAS Research Centre for Ecology and Environment of Central Asia</institution>, <addr-line>Urumqi</addr-line>, <country>China</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>The University of Hong Kong</institution>, <addr-line>Hong Kong</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/1366580/overview">Zizheng Guo</ext-link>, Hebei University of Technology, 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/2157654/overview">Jingzhe Chen</ext-link>, Shanghai University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2166608/overview">Le Wang</ext-link>, China Jiliang University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Wenfeng Wang, <email>wangwenfeng@sit.edu.cn</email>; Xi Chen, <email>cx@ms.xjb.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Informatics and Remote Sensing, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1130070</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 An, Wang, Chen, Zhuang and Cui.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>An, Wang, Chen, Zhuang and Cui</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>This study constructs a machine learning system to examine the predictors of soil salinity in deserts. We conclude that soil humidity and subterranean CO<sub>2</sub> concentration are two leading controls of soil salinity&#x2014;respectively explain 71.33%, 13.83% in the data. The (<italic>R</italic>
<sup>2</sup>, root-mean-square error, RPD) values at the training stage, validation stage and testing stage are (0.9924, 0.0123, and 8.282), (0.9931, 0.0872, and 7.0918), (0.9826, 0.1079, and 6.0418), respectively. Based on the underlining mechanisms, we conjecture that subterranean CO<sub>2</sub> sequestration could reduce salinization disaster in deserts.</p>
</abstract>
<kwd-group>
<kwd>salinization disaster</kwd>
<kwd>principal components analysis (PCA)</kwd>
<kwd>artificial neural network (ANN)</kwd>
<kwd>long short-term memory (LSTM)</kwd>
<kwd>subterranean CO<sub>2</sub> sequestration</kwd>
</kwd-group>
<contract-num rid="cn001">41571299 1021GN204005-A06</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China-China Academy of General Technology Joint Fund for Basic Research<named-content content-type="fundref-id">10.13039/501100019492</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Soil salinization is one major type of land desertification and degradation in the world, which is a disaster to global resources and ecology (<xref ref-type="bibr" rid="B14">Dehaan and Taylor, 2002</xref>; <xref ref-type="bibr" rid="B45">Metternicht and Zinck, 2008</xref>; <xref ref-type="bibr" rid="B39">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B62">Singh, 2015</xref>; <xref ref-type="bibr" rid="B58">Savich et al., 2021</xref>). Such disaster not only brought great impact and serious losses to food production, but also hindered the sustainable development of agriculture (<xref ref-type="bibr" rid="B35">Kotb et al., 2000</xref>; <xref ref-type="bibr" rid="B3">Amezketa, 2006</xref>; <xref ref-type="bibr" rid="B51">Rengasamy, 2016</xref>; <xref ref-type="bibr" rid="B48">Okur and &#xd6;r&#xe7;en, 2020</xref>; <xref ref-type="bibr" rid="B24">Hassani et al., 2021</xref>). The influences of soil salinization disaster to other aspects of society and economy are also inevitable (<xref ref-type="bibr" rid="B60">Schofield et al., 2001</xref>; <xref ref-type="bibr" rid="B19">Ghollarata and Raiesi, 2007</xref>; <xref ref-type="bibr" rid="B15">Ding et al., 2011</xref>; <xref ref-type="bibr" rid="B80">Wang and Li, 2013</xref>; <xref ref-type="bibr" rid="B46">Nachshon, 2018</xref>; <xref ref-type="bibr" rid="B85">Yang et al., 2020</xref>). The disaster leads to a low rate of soil utilization and a sharp decline of forests (<xref ref-type="bibr" rid="B13">De Pascale et al., 2005</xref>; <xref ref-type="bibr" rid="B42">Li-Xian et al., 2007</xref>; <xref ref-type="bibr" rid="B84">Xiaohou et al., 2008</xref>; <xref ref-type="bibr" rid="B6">Bouksila et al., 2013</xref>; <xref ref-type="bibr" rid="B83">Wu et al., 2014</xref>; <xref ref-type="bibr" rid="B69">Teh and Koh, 2016</xref>; <xref ref-type="bibr" rid="B86">Zhou et al., 2017</xref>; <xref ref-type="bibr" rid="B41">Li et al., 2018</xref>; <xref ref-type="bibr" rid="B87">Zhuang et al., 2022</xref>). Ecologists have made great efforts to develop theory and methodology for reducing soil salinization disaster (<xref ref-type="bibr" rid="B37">Lavado and Taboada, 1987</xref>; <xref ref-type="bibr" rid="B16">El Harti et al., 2016</xref>; <xref ref-type="bibr" rid="B81">Wang et al., 2019</xref>). But until now, the degree of global soil salinization is still increasing (<xref ref-type="bibr" rid="B70">Tian and Zhou, 2000</xref>; <xref ref-type="bibr" rid="B5">Arag&#xfc;&#xe9;s et al., 2015</xref>; <xref ref-type="bibr" rid="B30">Jesus et al., 2015</xref>).</p>
<p>Considering its threats to the earth environments, any theory and methodology for reducing soil salinization disaster is worthy to be discussed (<xref ref-type="bibr" rid="B82">Welle and Mauter, 2017</xref>). In the era of artificial intelligence, machine learning has been introduced in the frontier of earth science (<xref ref-type="bibr" rid="B31">Jiang et al., 2018</xref>; <xref ref-type="bibr" rid="B26">Huang et al., 2020a</xref>; <xref ref-type="bibr" rid="B28">Huang et al., 2020b</xref>; <xref ref-type="bibr" rid="B8">Chang et al., 2020</xref>; <xref ref-type="bibr" rid="B27">Huang et al., 2020c</xref>). The machine learning system is mainly composed of input layer, output layer and hidden layers (<xref ref-type="bibr" rid="B7">Chahal and Gulia, 2019</xref>). After obtaining a training set, the learning system can extract effective features (<xref ref-type="bibr" rid="B38">LeCun et al., 2015</xref>). These features are connected by artificial neurons (<xref ref-type="bibr" rid="B23">Hao et al., 2016</xref>). The neurons receive data from the input layer, make computation with assigned weights&#x2014;passed through the activation function in the hidden layers, and finally work out the results in the output layer (<xref ref-type="bibr" rid="B12">Co&#x15f;kun et al., 2017</xref>). By testing the trained network, we can assess the errors between the outputs and correct results (<xref ref-type="bibr" rid="B32">Kato et al., 2016</xref>). Some latest researches constructed 3-stages learning systems (the training stage, validation stage and testing stage) to improve the generalization capability (<xref ref-type="bibr" rid="B18">Gatos et al., 2019</xref>; <xref ref-type="bibr" rid="B64">Skrede et al., 2020</xref>; <xref ref-type="bibr" rid="B88">Zhuang et al., 2021</xref>).</p>
<p>Our objectives of this study are 1) to construct a machine learning system and examine the predictors of soil salinity in a desert by this learning system, 2) to evaluate the most interpretable proportion of the leading predictors, which will highlight the unneglectable contribution of the subterranean CO<sub>2</sub> concentration to soil salinity, and 3) to analyze the underlining mechanisms for such contribution and according to these mechanisms, to present new insights for reducing salinization disaster in deserts. The organization of the whole paper is as follows. In <xref ref-type="sec" rid="s2">Section 2</xref>, we will construct the machine learning system for examining the predictors, along with some preliminaries and the driven data. Principal components analysis (PCA) is integrated with the artificial neural network (ANN) and long-short term memory (LSTM). Performance of PCA-ANN-LSTM will be presented and the leading predictors will be determined in <xref ref-type="sec" rid="s3">Section 3</xref>. We will also assess the largest proportion of two leading predictors in explaining soil salinity and further clarify their leading roles. Based on the results from PCA-ANN-LSTM calibrations, in <xref ref-type="sec" rid="s4">Section 4</xref>, some new insights will be expanded for reducing soil salinization disaster and the underlining mechanisms will be theoretically analyzed. The conclusions and next research priorities are presented in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec id="s2">
<title>2 The machine learning system</title>
<sec id="s2-1">
<title>2.1 The learning mechanisms</title>
<p>The learning mechanisms depend on not only the problem itself but also the components of the data. As stated in <xref ref-type="sec" rid="s1">Section 1</xref>, the considered problem is to construct a machine learning system for examining the potential predictors of soil salinity in a desert by this learning system. That is, the input data of the system is environmental variables (meteorological, soil, and subterranean factors), while the output data is soil salinity. These data were collected from the Manas River Basin of Xinjiang Uygur autonomous region, which is located at the southern periphery of the Gubantonggut Desert, China, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. We established five stations by integrating 13 sensors to collect the meteorological, soil and subterranean data, including the CO<sub>2</sub> concentration 3&#xa0;m beneath the soil (Cs) and 10&#xa0;cm above the soil (Ca), the soil temperature (Ts), humidity (Hs), alkalinity (pH) and salinity (Y) at 10&#xa0;cm depth, the atmospheric temperature (Ta), humidity (Ha), air pressure (AP), wind speed (WS), wind direction (WD), rainfall (R), and groundwater level (WL). In order to develop a novel deep neural network to detect the potential environmental controls of soil salinity, Y is employed as the dependent variable of the network and the other 12 environmental factors are naturally employed as independent variables. The basic learning mechanisms of a neural network can be described as follows. The neuron input <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> was calculated from the model established in (<xref ref-type="bibr" rid="B88">Zhuang et al., 2021</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Spatial distribution of the five automatic monitoring stations where the meteorological, soil and subterranean data are collected for the present study.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g001.tif"/>
</fig>
<p>Alternatively, we integrated the principal component analysis (PCA) and the artificial neural network (ANN) to examine the potential control of Cs, where PCA was improved by the singular value decomposition (SVD) (<xref ref-type="bibr" rid="B71">Van Loan, 1976</xref>; <xref ref-type="bibr" rid="B33">Klema and Laub, 1980</xref>; <xref ref-type="bibr" rid="B50">Paige and Saunders, 1981</xref>; <xref ref-type="bibr" rid="B43">Mandel, 1982</xref>; <xref ref-type="bibr" rid="B65">Stewart, 1993</xref>). Suppose <inline-formula id="inf2">
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<p>That is,<disp-formula id="e1">
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</p>
</sec>
<sec id="s2-2">
<title>2.2 The learning processes</title>
<p>Differing from (<xref ref-type="bibr" rid="B88">Zhuang et al., 2021</xref>), we further introduce a brain-inspired mechanism in the learning processes. That is, we further improve SVD-PCA-ANN by long-short-memory neural network (LSTM) (<xref ref-type="bibr" rid="B56">Salman et al., 2018</xref>; <xref ref-type="bibr" rid="B2">Ali et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Ahmad and Zhang, 2022</xref>; <xref ref-type="bibr" rid="B17">Gao, 2022</xref>; <xref ref-type="bibr" rid="B55">Rusnac and Grigore, 2022</xref>) and proposed a novel deep neural network PCA-ANN-LSTM to detect the potential environmental controls of soil salinity in the desert. The output of the SVD-PCA-ANN will not be directly input into LSTM. Instead, we utilize the errors data of the SVD-PCA-ANN model as the input data of LSTM. That is, we employ LSTM for learning and reducing the errors to improve the robustness when detecting the potential environmental controls of soil salinity and analyzing the contributions of the subterranean CO<sub>2</sub> concentration to the soil salinity.</p>
<p>The necessity to further integrate with LSTM in the learning processes can be explained as follows. In ANN, it is assumed that the output only depends on the current input, which is not true in the real world (<xref ref-type="bibr" rid="B21">Gu et al., 2019</xref>). LSTM allows us to infer the potential relationships among the content of the context, because it is a recurrent neural network (RNN)&#x2014;the output depends on the current input and memory (<xref ref-type="bibr" rid="B34">Klimov et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Huang et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B20">Gorgij et al., 2023</xref>). The basic idea of RNN is to build a hidden state for acquiring the information at the previous time point and the global parameters are calculated from the current time and all previous memories. Each cell in RNN shares these parameters to reduce the amount of calculation. For LSTM, the current input is linked with the state of the hidden layers in the previous time through three gates&#x2014;the input gate (information adding), forgetting gate (information discarding) and output gate (<xref ref-type="bibr" rid="B54">Robinson and Zaffaroni, 1997</xref>).</p>
<p>A sketch of the learning processes is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, which construct cells in the machine brain (<xref ref-type="bibr" rid="B47">O&#x2019;Doherty et al., 2011</xref>; <xref ref-type="bibr" rid="B74">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B72">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B73">Wang et al., 2022</xref>). We can understand the LSTM learning process with the cells&#x2019; states. For a cell state <inline-formula id="inf8">
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<label>(5)</label>
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<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The structure diagram for detecting the potential controls.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g002.tif"/>
</fig>
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<label>(6)</label>
</disp-formula>Then updates of the cell state can be formulated as<disp-formula id="e7">
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<label>(7)</label>
</disp-formula>and the calculation formula for the next hidden state is<disp-formula id="e8">
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<label>(8)</label>
</disp-formula>
</p>
<p>The pseudocode of the whole learning processes based on the PCA-ANN-LSTM algorithm is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, where the detailed steps to detect environmental controls of soil salinity in the desert are carried out through the machine learning framework characterized in <xref ref-type="fig" rid="F2">Figure 2</xref>. In order to exclude the interactions among the 12 factors, we employ partial least squares regression (PLSR) and will compare the performance of PLSR-ANN and PCA-ANN with the proposed method.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Pseudocode of the learning processes based on PCA-ANN-LSTM.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g003.tif"/>
</fig>
<p>The following three indices are calculated to quantify the robustness of PCA-ANN-LSTM in previewing the possible environmental controls of soil salinity, which are also utilized in the comparison with PCA-ANN and PLSR-ANN. For a reliable comparison, the input data was uniformly divided into three subsets for all the learning processes&#x2014;one for the training stage (half of the data), one for the validation stage (one-quarter of the data), and one for the testing stage (one-quarter of the data).</p>
<p>(1) The coefficient of determination:<disp-formula id="e9">
<mml:math id="m23">
<mml:mrow>
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<p>(2) The root-mean-square error:<disp-formula id="e10">
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<p>(3) The ratio of prediction to deviation:<disp-formula id="e11">
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</mml:math>
<label>(11)</label>
</disp-formula>where <inline-formula id="inf15">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the true value, <inline-formula id="inf16">
<mml:math id="m27">
<mml:mrow>
<mml:msubsup>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the predicted value, <inline-formula id="inf17">
<mml:math id="m28">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>y</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula> is the average of the true value, and N is the number of environmental variables.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Performance of the system</title>
<sec id="s3-1">
<title>3.1 Efficiency of the learning processes</title>
<p>The contributions of twelve potential predictors to soil salinity in linear (PCA) and non-linear (ANN) relationships were determined together within a minute, implying a high efficiency of the main learning processes (LSTM only learned the errors from PCA-ANN). The learning results indicate that all the considered factors (i.e., environmental variables) can potentially influence the variation in the data of soil salinity in deserts, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The first leading contributor is Hs and the contribution of Hs to soil salinity is 71.33%. The underlining mechanisms are easy to be understood. The status of soil salinization in deserts is restricted by the law of soil water and salt movements. Salt in soil moves with soil water&#x2014;salt is transported to the surface with water in the evaporation process, and after evaporation, salt accumulates in the surface soil. The water infiltrated by rainfall in deserts can also bring salt to the deep soil layers. For a long time, there is no rainfall in the desert, the salt brought to the surface by evaporation is much more than the salt brought to the deep soils by infiltration leaching, the soil is in a salt accumulation state and salinization is aggravated.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The determined contributions of twelve factors to soil salinity.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g004.tif"/>
</fig>
<p>To our surprise, Cs is the second leading contributor and its contributions to soil salinity is 13.83%. The possible mechanisms could be linked with the soil CO<sub>2</sub> absorption processes. Such absorption was frequently observed in deserts ecosystems and has been attributed to abiotic processes. One conjecture of these abiotic processes is that CO<sub>2</sub> reacts with moisture in the soil to form carbonic acid and dissolve calcium carbonate. But such reaction is not enough to explain the absorption intensity. Another conjecture is that the absorbed CO<sub>2</sub> has gone into deep cycles. If these conjectures were true, then soil salinity and subterranean CO<sub>2</sub> concentration will be linked in the reaction and deep cycles. The learning results indicated that the contribution of Cs to soil salinity is approximated to a sum of the contributions the other ten potential predictors (the sum value is 14.84%). It is also worthy to note that Ca (with a contribution&#x3d;3.56%) and WS (contribution&#x3d;3.77%) are also leading factors. Their contributions are almost equal and the total contribution of them two (7.33%) is approximated to the total contribution of the rest eight factors (7.51%). But some of the rest eight factors (e.g., pH) have been thought to be closely related to soil salinity. Hence, it is quite necessary to prove the robustness of the learning system, which will be done in <xref ref-type="sec" rid="s3-2">Section 3.2</xref>.</p>
</sec>
<sec id="s3-2">
<title>3.2 Robustness of the learning system</title>
<p>The coefficient of determination (<italic>R</italic>
<sup>2</sup>), the root-mean-square error (RMSE) and the ratio of prediction to deviation (RPD) of the learning system at the training, validation, and testing stages with 200 epochs are respectively shown in <xref ref-type="fig" rid="F5">Figures 5</xref>&#x2013;<xref ref-type="fig" rid="F7">7</xref>, and the optimized values are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The coefficient of determination of the learning system at the training, validation, and testing stages with 200 epochs.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The root-mean-square error of the learning system at the training, validation, and testing stages with 200 epochs.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The ratio of prediction to deviation of the learning system at the training, validation, and testing stages with 200 epochs.</p>
</caption>
<graphic xlink:href="feart-11-1130070-g007.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Comparison of the SVD-PCA-ANN model with SAE, SVM, and LSTM.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Accuracy evaluation index</th>
<th align="center">
<inline-formula id="inf18">
<mml:math id="m29">
<mml:mrow>
<mml:msup>
<mml:mi>R</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">RMSE</th>
<th align="center">RPD</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">Training</td>
<td align="center">PLSR-ANN</td>
<td align="center">0.9952</td>
<td align="center">0.0522</td>
<td align="center">2.3451</td>
</tr>
<tr>
<td align="center">PCA-ANN</td>
<td align="center">0.9891</td>
<td align="center">0.0849</td>
<td align="center">1.4568</td>
</tr>
<tr>
<td align="center">PCA-ANN-LSTM</td>
<td align="center">0.9924</td>
<td align="center">0.0123</td>
<td align="center">8.282</td>
</tr>
<tr>
<td rowspan="3" align="center">Validation</td>
<td align="center">PLSR-ANN</td>
<td align="center">0.9922</td>
<td align="center">0.0787</td>
<td align="center">1.4763</td>
</tr>
<tr>
<td align="center">PCA-ANN</td>
<td align="center">0.9844</td>
<td align="center">0.1086</td>
<td align="center">1.1042</td>
</tr>
<tr>
<td align="center">PCA-ANN-LSTM</td>
<td align="center">0.9931</td>
<td align="center">0.0872</td>
<td align="center">7.0918</td>
</tr>
<tr>
<td rowspan="3" align="center">Testing</td>
<td align="center">PLSR-ANN</td>
<td align="center">0.9868</td>
<td align="center">0.0688</td>
<td align="center">1.7906</td>
</tr>
<tr>
<td align="center">PCA-ANN</td>
<td align="center">0.9764</td>
<td align="center">0.1198</td>
<td align="center">0.9703</td>
</tr>
<tr>
<td align="center">PCA-ANN-LSTM</td>
<td align="center">0.9826</td>
<td align="center">0.1079</td>
<td align="center">6.0418</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The lower <italic>R</italic>
<sup>2</sup> values of PCA-ANN at the training stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9891), the validation stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9844) and the testing stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9764) means accurate predictions. Epochs in <xref ref-type="fig" rid="F5">Figure 5</xref> has displayed the learning processes. The learning system not only indicates a high prediction accuracy, but also indicates small errors. The RMSE values of the learning system at the training, validation, and testing stages are 0.0849, 0.1086, 0.1198, respectively. This is a degree of dispersion (not an absolute error), which further demonstrated the effectiveness of the learning system. Epochs in <xref ref-type="fig" rid="F6">Figure 6</xref> also reflect the stability of the learning system. In order to further confirm the prediction ability of the learning system, RPD is introduced to build a new emergency response process in decision-making and make up for the disadvantages of <italic>R</italic>
<sup>2</sup> and RMSE. The RPD values of the learning system at the training, validation, and testing stages are 1.4568, 1.1042, 0.9703, respectively. This finally demonstrated the robustness of the learning system. Epochs in <xref ref-type="fig" rid="F7">Figure 7</xref> also confirm the stability of the learning system.</p>
<p>As a cross validation, the <italic>R</italic>
<sup>2</sup>, RMSE, RPD values were also calculated when PCA is replaced by PLSR. PLSR is also based on a linear relationship and differing from PCA, PLSR excludes the interactions among the twelve environmental factors. Performance of PLSR-ANN at the training stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9952, RMSE &#x3d; 0.0522, RPD &#x3d; 2.3451), the validation stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9922, RMSE &#x3d; 0.0787, RPD &#x3d; 1.4763) and the testing stage (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9868, RMSE &#x3d; 0.0688, RPD &#x3d; 1.7906) indicate more accurate predictions. These results are a little better than the performance of PCA-ANN. The final performance of the whole system PCA-ANN-LSTM is better than both PCA-ANN and PLSR-ANN. The <italic>R</italic>
<sup>2</sup> values of PCA-ANN-LSTM at the training, validation, and testing stages are 0.9924, 0.9931, 0.9826, respectively. The RMSE values of PCA-ANN-LSTM at the training, validation, and testing stages are 0.0123, 0.0872, 0.1079, respectively. The RPD values of PCA-ANN-LSTM at the training, validation, and testing stages are 8.282, 7.918, 6.0418, respectively. Therefore, the learning system PCA-ANN-LSTM is recommended for subsequent studies when examining potential predictors of soil salinity in deserts.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussions</title>
<p>Soil salinity has been widely used to describe the degree of soil salination, but in the previous studies, the dynamics of soil salinity are few linked with the CO<sub>2</sub> concentration above or under the ground (<xref ref-type="bibr" rid="B63">Singh, 2016</xref>). A series of latest studies have demonstrated abiotic soil CO<sub>2</sub> absorption in the alkaline land, which is closely related with salts in the soil (<xref ref-type="bibr" rid="B10">Chen et al., 2013</xref>). Until now, the mechanisms of such CO<sub>2</sub> absorption have not been fully understood. Results from the present study indicate that subterranean CO<sub>2</sub> concentration and the atmospheric CO<sub>2</sub> concentration around the soil can both influence soil salinity in deserts. These results also present further evidences for the conjecture that the abiotic CO<sub>2</sub> absorption by saline-alkali soils were resulted from subterranean CO<sub>2</sub> sequestration in reaction of soil salts, CO<sub>2,</sub> and moisture.</p>
<p>We hence further hypothesize that the soil salination processes in deserts could be affected by such a subterranean CO<sub>2</sub> sequestration, since based on this new hypothesis, the underlining reaction of salts, CO<sub>2,</sub> and moisture in the soil would further link the dynamics of subterranean CO<sub>2</sub> concentration with soil salinity. Alternatively, we further hypothesize that the abiotic soil CO<sub>2</sub> absorption in deserts could influence the subterranean CO<sub>2</sub> concentration. If this hypothesis were true, the results from the learning system would be well-explained. During the reaction of salts, CO<sub>2,</sub> and moisture in different soil layers, soil salinity is changing (<xref ref-type="bibr" rid="B79">Wang et al., 2016a</xref>), where both subterranean CO<sub>2</sub> concentration and the atmospheric CO<sub>2</sub> sequestration can play significant roles. This brings new insights for reducing salination disaster. Hypothesizing that we can reduce salinization disaster through the new insights, we can mediate the subterranean CO<sub>2</sub> concentration through the CO<sub>2</sub> storage and sequestration technologies. In response to the global climate change, the world has made commitments on the peak of CO<sub>2</sub> emissions and the targets to achieve carbon neutrality (<xref ref-type="bibr" rid="B9">Chapin et al., 2006</xref>; <xref ref-type="bibr" rid="B77">Wang et al., 2015a</xref>). Under this goal, as an important technological approach to achieve large-scale low-carbon utilization of fossil energy, CO<sub>2</sub> capture, utilization and storage technology has become a hot research topic (<xref ref-type="bibr" rid="B68">Tapia et al., 2018</xref>). It was recognized that the geological storage potential of CO<sub>2</sub> is great, and the deep soil layers present the main space for CO<sub>2</sub> storage (<xref ref-type="bibr" rid="B49">Orr, 2018</xref>). Collaborating this technology with the above hypothesis, subterranean CO<sub>2</sub> capture, utilization and storage not only can help us to achieve carbon neutrality, but also can help us to influence the soil salinization processes.</p>
<p>Soil salinization and desertification are both disasters resulted from surface environmental changes, which not only depend on climate conditions, but also closely related to the role of groundwater (<xref ref-type="bibr" rid="B3">Amezketa, 2006</xref>). This study further links soil salinization in deserts with subterranean CO<sub>2</sub> concentration and advances a new hypothesis (<xref ref-type="bibr" rid="B67">Sunda and Cai, 2012</xref>). Since subterranean CO<sub>2</sub> sequestration and soil salinization process can both be influenced by the reaction of salts, CO<sub>2,</sub> and moisture in the soil (<xref ref-type="bibr" rid="B59">Schlesinger, 2001</xref>), our hypothesis sounds reasonable. Nevertheless, we still need some direct evidences from isotopic analysis to further demonstrate that the soil salination processes in deserts could be affected by such a subterranean CO<sub>2</sub> sequestration (<xref ref-type="bibr" rid="B29">Inglima et al., 2009</xref>). Deserts are extremely arid areas and occupy more than 20% of the earth&#x2019;s land area (<xref ref-type="bibr" rid="B11">Chen et al., 2014</xref>). Due to high temperature, drying and strong evaporation, upwelling is the dominant process of soil water in the deserts, while the leaching and desalination processes are weak (<xref ref-type="bibr" rid="B36">Kowalski et al., 2008</xref>; <xref ref-type="bibr" rid="B61">Serrano-Ortiz et al., 2010</xref>; <xref ref-type="bibr" rid="B57">Sanchez-Ca&#xf1;ete et al., 2011</xref>). These processes formed a large area of saline-alkali land in deserts and in deep soil layers around the groundwater, there are good conditions for reaction of salts, CO<sub>2,</sub> and moisture (<xref ref-type="bibr" rid="B66">Stone, 2008</xref>). But there are still some outstanding questions for subsequent studies. How to assess the intensity of such reaction? How to quantify the contribution of changing processes in subterranean CO<sub>2</sub> concentration to the reaction? How much these processes can affect the soil salinization processes? Are these coupled processes enough to explain the apparent CO<sub>2</sub> absorption? If not, where has the missing CO<sub>2</sub> gone? Can it be attributed to some capnophiles in the deep soil layers? If these questions were appropriately addressed, then our hypothesis would be verified and make a real contribution to reduce salinization disaster in deserts.</p>
<p>Benefitting from the rapid development of various kinds of sensors, the subterranean processes can be further explored by different kinds of signals or images (<xref ref-type="bibr" rid="B76">Wang et al., 2016b</xref>). These sensors present a good base to obtain enough data for machine learning. But the mechanisms of the abiotic CO<sub>2</sub> absorption are still poorly understood and the soil salinity might be influenced by many other factors (<xref ref-type="bibr" rid="B75">Wang et al., 2015b</xref>). It is still quite necessary to integrate a series of sensors for acquiring other meteorological, soil and subterranean data. The additional data not only can present a better understanding of the whole story about soil salinization, but also can motivate researches on the effects of various environmental factors on the subterranean CO<sub>2</sub> concentration in other arid ecosystems and researches on the mechanisms for the abiotic soil CO<sub>2</sub> absorption (<xref ref-type="bibr" rid="B52">Rey et al., 2012</xref>; <xref ref-type="bibr" rid="B53">Rey, 2014</xref>; <xref ref-type="bibr" rid="B78">Wang et al., 2016c</xref>). Physically-based modelling (<xref ref-type="bibr" rid="B22">Guo et al., 2020</xref>; <xref ref-type="bibr" rid="B44">Medina et al., 2021</xref>) is also a next research priority.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Subterranean CO<sub>2</sub> concentration and the atmospheric CO<sub>2</sub> concentration around the soil surface can both influence soil salinity in deserts, which presents further evidence for a conjecture in the previous studies&#x2014;the abiotic CO<sub>2</sub> absorption by saline-alkali soils in deserts were resulted from subterranean CO<sub>2</sub> sequestration in reaction of soil salts, CO<sub>2,</sub> and moisture. Based on this conjecture, we advance a new hypothesis&#x2014;the soil salination processes in deserts could be affected by such a subterranean CO<sub>2</sub> sequestration. Since the underlining reaction of salts, CO<sub>2,</sub> and moisture in the soil would further link the dynamics of subterranean CO<sub>2</sub> concentration with soil salinity. Due to strong water-salt processes in deserts, the water in the deep soil layers move upward [resp. downward] in the dry season [resp. the rainy season], and then react with salts and CO<sub>2</sub> in the capillary. The story sounds well. But we need further evidences. A better understanding of the whole story is still quite necessary.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>PA and WW were mainly responsible for data collection, code convenience and paper writing as the core contributor of this paper. ZZ and LC assisted in the completion of experiments and data table compilation. WW led the project and conceive the main idea of this research. CX was responsible for the guidance of the experimental code and the language polishing of the paper.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research was funded by the Ningbo Natural Science Foundation (2019A610106), the Strategic Priority Research Program of Chinese Academy of Sciences (XDA20060303), the National Natural Science Foundation of China (41571299) and the High-level Base-building Project for Industrial Technology Innovation (1021GN204005-A06).</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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ahmad</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>A data-driven deep sequence-to-sequence long-short memory method along with a gated recurrent neural network for wind power forecasting</article-title>. <source>Energy</source> <volume>239</volume>, <fpage>122109</fpage>. <pub-id pub-id-type="doi">10.1016/j.energy.2021.122109</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ali</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Irfan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Draz</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Sohail</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Glowacz</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>IoT based smart parking system using deep long short memory network</article-title>. <source>Electronics</source> <volume>9</volume> (<issue>10</issue>), <fpage>1696</fpage>. <pub-id pub-id-type="doi">10.3390/electronics9101696</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Amezketa</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>An integrated methodology for assessing soil salinization, a pre-condition for land desertification</article-title>. <source>J. Arid Environ.</source> <volume>67</volume> (<issue>4</issue>), <fpage>594</fpage>&#x2013;<lpage>606</lpage>. <pub-id pub-id-type="doi">10.1016/j.jaridenv.2006.03.010</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Arag&#xfc;&#xe9;s</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Medina</surname>
<given-names>E. T.</given-names>
</name>
<name>
<surname>Zribi</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Claveria</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Alvaro-Fuentes</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Faci</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Soil salinization as a threat to the sustainability of deficit irrigation under present and expected climate change scenarios</article-title>. <source>Irrigation Sci.</source> <volume>33</volume> (<issue>1</issue>), <fpage>67</fpage>&#x2013;<lpage>79</lpage>. <pub-id pub-id-type="doi">10.1007/s00271-014-0449-x</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bouksila</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Bahri</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Berndtsson</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Persson</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Rozema</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Van der Zee</surname>
<given-names>S. E.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Assessment of soil salinization risks under irrigation with brackish water in semiarid Tunisia</article-title>. <source>Environ. Exp. Bot.</source> <volume>92</volume>, <fpage>176</fpage>&#x2013;<lpage>185</lpage>. <pub-id pub-id-type="doi">10.1016/j.envexpbot.2012.06.002</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chahal</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Gulia</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Machine learning and deep learning</article-title>. <source>Int. J. Innovative Technol. Explor. Eng.</source> <volume>8</volume> (<issue>12</issue>), <fpage>4910</fpage>&#x2013;<lpage>4914</lpage>. <pub-id pub-id-type="doi">10.35940/ijitee.l3550.1081219</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chang</surname>
<given-names>Z. L.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Landslide susceptibility prediction based on Remote sensing images and GIS: Comparisons of supervised and unsupervised machine learning models</article-title>. <source>Remote Sens.</source> <volume>12</volume> (<issue>3</issue>), <fpage>502</fpage>. <pub-id pub-id-type="doi">10.3390/rs12030502</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chapin</surname>
<given-names>F. S.</given-names>
</name>
<name>
<surname>Woodwell</surname>
<given-names>G. M.</given-names>
</name>
<name>
<surname>Randerson</surname>
<given-names>J. T.</given-names>
</name>
<name>
<surname>Rastetter</surname>
<given-names>E. B.</given-names>
</name>
<name>
<surname>Lovett</surname>
<given-names>G. M.</given-names>
</name>
<name>
<surname>Baldocchi</surname>
<given-names>D. D.</given-names>
</name>
<etal/>
</person-group> (<year>2006</year>). <article-title>Reconciling carbon-cycle concepts, terminology, and methods</article-title>. <source>Ecosystems</source> <volume>9</volume> (<issue>7</issue>), <fpage>1041</fpage>&#x2013;<lpage>1050</lpage>. <pub-id pub-id-type="doi">10.1007/s10021-005-0105-7</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>G. P.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>L. H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Time lag between carbon dioxide influx to and efflux from bare saline-alkali soil detected by the explicit partitioning and reconciling of soil CO<sub>2</sub> flux</article-title>. <source>Stoch. Environ. Res. Risk Assess.</source> <volume>27</volume> (<issue>3</issue>), <fpage>737</fpage>&#x2013;<lpage>745</lpage>. <pub-id pub-id-type="doi">10.1007/s00477-012-0636-3</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>G. P.</given-names>
</name>
<name>
<surname>Ye</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Can soil respiration estimate neglect the contribution of abiotic exchange?</article-title> <source>J. Arid Land</source> <volume>6</volume> (<issue>2</issue>), <fpage>129</fpage>&#x2013;<lpage>135</lpage>. <pub-id pub-id-type="doi">10.1007/s40333-013-0244-1</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Co&#x15f;kun</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yildirim</surname>
<given-names>&#xd6;.</given-names>
</name>
<name>
<surname>Ay&#x15f;eg&#xfc;l</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Demir</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>An overview of popular deep learning methods[J]</article-title>. <source>Eur. J. Tech.</source> <volume>7</volume> (<issue>2</issue>), <fpage>165</fpage>&#x2013;<lpage>176</lpage>. <pub-id pub-id-type="doi">10.23884/ejt.2017.7.2.11</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>De Pascale</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Maggio</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Barbieri</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Soil salinization affects growth, yield and mineral composition of cauliflower and broccoli</article-title>. <source>Eur. J. Agron.</source> <volume>23</volume> (<issue>3</issue>), <fpage>254</fpage>&#x2013;<lpage>264</lpage>. <pub-id pub-id-type="doi">10.1016/j.eja.2004.11.007</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dehaan</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Taylor</surname>
<given-names>G. R.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Field-derived spectra of salinized soils and vegetation as indicators of irrigation-induced soil salinization</article-title>. <source>Remote Sens. Environ.</source> <volume>80</volume> (<issue>3</issue>), <fpage>406</fpage>&#x2013;<lpage>417</lpage>. <pub-id pub-id-type="doi">10.1016/s0034-4257(01)00321-2</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ding</surname>
<given-names>J. L.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Tiyip</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Study on soil salinization information in arid region using Remote sensing technique</article-title>. <source>Agric. Sci. China</source> <volume>10</volume> (<issue>3</issue>), <fpage>404</fpage>&#x2013;<lpage>411</lpage>. <pub-id pub-id-type="doi">10.1016/s1671-2927(11)60019-9</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>El Harti</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Lhissou</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Chokmani</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ouzemou</surname>
<given-names>J. e.</given-names>
</name>
<name>
<surname>Hassouna</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Bachaoui</surname>
<given-names>E. M.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Spatiotemporal monitoring of soil salinization in irrigated Tadla Plain (Morocco) using satellite spectral indices</article-title>. <source>Int. J. Appl. Earth Observation Geoinformation</source> <volume>50</volume>, <fpage>64</fpage>&#x2013;<lpage>73</lpage>. <pub-id pub-id-type="doi">10.1016/j.jag.2016.03.008</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>A two-channel attention mechanism-based mobileNetV2 and bidirectional long short memory network for multi-modal dimension dance emotion recognition[J]</article-title>. <source>J. Appl. Sci. Eng.</source> <volume>26</volume> (<issue>4</issue>), <fpage>455</fpage>&#x2013;<lpage>464</lpage>.</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gatos</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Tsantis</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Spiliopoulos</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Karnabatidis</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Theotokas</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Zoumpoulis</surname>
<given-names>P.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Temporal stability assessment in shear wave elasticity images validated by deep learning neural network for chronic liver disease fibrosis stage assessment</article-title>. <source>Med. Phys.</source> <volume>46</volume> (<issue>5</issue>), <fpage>2298</fpage>&#x2013;<lpage>2309</lpage>. <pub-id pub-id-type="doi">10.1002/mp.13521</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ghollarata</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Raiesi</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>The adverse effects of soil salinization on the growth of Trifolium alexandrinum L. and associated microbial and biochemical properties in a soil from Iran</article-title>. <source>Soil Biol. Biochem.</source> <volume>39</volume> (<issue>7</issue>), <fpage>1699</fpage>&#x2013;<lpage>1702</lpage>. <pub-id pub-id-type="doi">10.1016/j.soilbio.2007.01.024</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gorgij</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Askari</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Taghipour</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Jami</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Mirfardi</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Spatiotemporal forecasting of the groundwater quality for irrigation purposes, using deep learning method: Long short-term memory (LSTM)</article-title>. <source>Agric. Water Manag.</source> <volume>277</volume>, <fpage>108088</fpage>. <pub-id pub-id-type="doi">10.1016/j.agwat.2022.108088</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gu</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>A novel recurrent neural network algorithm with long short-term memory model for futures trading</article-title>. <source>J. Intelligent Fuzzy Syst.</source> <volume>37</volume> (<issue>4</issue>), <fpage>4477</fpage>&#x2013;<lpage>4484</lpage>. <pub-id pub-id-type="doi">10.3233/jifs-179280</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guo</surname>
<given-names>Z. Z.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>L. X.</given-names>
</name>
<name>
<surname>Gui</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Du</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Do</surname>
<given-names>H. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Landslide displacement prediction based on variational mode decomposition and WA-GWO-BP model</article-title>. <source>Landslides</source> <volume>17</volume>, <fpage>567</fpage>&#x2013;<lpage>583</lpage>. <pub-id pub-id-type="doi">10.1007/s10346-019-01314-4</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Deep learning</article-title>. <source>Int. J. Semantic Comput.</source> <volume>10</volume> (<issue>03</issue>), <fpage>417</fpage>&#x2013;<lpage>439</lpage>. <pub-id pub-id-type="doi">10.1142/s1793351x16500045</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hassani</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Azapagic</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Shokri</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Global predictions of primary soil salinization under changing climate in the 21st century[J]</article-title>. <source>Nat. Commun.</source> <volume>12</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>17</lpage>.</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z. X.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>A new wind power forecasting algorithm based on long short&#x2010;term memory neural network[J]</article-title>. <source>Int. Trans. Electr. Energy Syst.</source> <volume>31</volume> (<issue>12</issue>), <fpage>e13233</fpage>.</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>Z. S.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Z. Z.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Comparisons of heuristic, general statistical and machine learning models for landslide susceptibility prediction and mapping</article-title>. <source>Catena</source> <volume>191</volume>, <fpage>104580</fpage>. <pub-id pub-id-type="doi">10.1016/j.catena.2020.104580</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Cao</surname>
<given-names>Z. S.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Landslide susceptibility prediction based on a semi-supervised multiple-layer perceptron model</article-title>. <source>Landslides</source> <volume>17</volume>, <fpage>2919</fpage>&#x2013;<lpage>2930</lpage>. <pub-id pub-id-type="doi">10.1007/s10346-020-01473-9</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>C. B.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y. H.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J. S.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>A deep learning algorithm using a fully connected sparse autoencoder neural network for landslide susceptibility prediction[J]</article-title>. <source>Landslides</source> <volume>17</volume> (<issue>01</issue>), <fpage>217&#x223c;229</fpage>.</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Inglima</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Alberti</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Bertolini</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Vaccari</surname>
<given-names>F. P.</given-names>
</name>
<name>
<surname>Gioli</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Miglietta</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2009</year>). <article-title>Precipitation pulses enhance respiration of mediterranean ecosystems: The balance between organic and inorganic components of increased soil CO<sub>2</sub> efflux[J]</article-title>. <source>Glob. Change Biol.</source> <volume>15</volume> (<issue>5</issue>), <fpage>1289</fpage>&#x2013;<lpage>1301</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-2486.2008.01793.x</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jesus</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Castro</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Niemel&#xe4;</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Borges</surname>
<given-names>M. T.</given-names>
</name>
<name>
<surname>Danko</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Evaluation of the impact of different soil salinization processes on organic and mineral soils[J]</article-title>. <source>Water, Air, &#x26; Soil Pollut.</source> <volume>226</volume> (<issue>4</issue>), <fpage>1</fpage>&#x2013;<lpage>12</lpage>.</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jiang</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>J. H.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>C. B.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Modelling of spatial variability of soil undrained shear strength by conditional random fields for slope reliability analysis [J]</article-title>. <source>Appl. Math. Model.</source> <volume>63</volume>, <fpage>374&#x223c;389</fpage>.</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kato</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Fadlullah</surname>
<given-names>Z. M.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Akashi</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Inoue</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>The deep learning vision for heterogeneous network traffic control: Proposal, challenges, and future perspective</article-title>. <source>IEEE Wirel. Commun.</source> <volume>24</volume> (<issue>3</issue>), <fpage>146</fpage>&#x2013;<lpage>153</lpage>. <pub-id pub-id-type="doi">10.1109/mwc.2016.1600317wc</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Klema</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Laub</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>1980</year>). <article-title>The singular value decomposition: Its computation and some applications</article-title>. <source>IEEE Trans. automatic control</source> <volume>25</volume> (<issue>2</issue>), <fpage>164</fpage>&#x2013;<lpage>176</lpage>. <pub-id pub-id-type="doi">10.1109/tac.1980.1102314</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Klimov</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Balandina</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chernyshov</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Application of long-short memory neural networks in semantic search engines development</article-title>. <source>Procedia Comput. Sci.</source> <volume>169</volume>, <fpage>388</fpage>&#x2013;<lpage>392</lpage>. <pub-id pub-id-type="doi">10.1016/j.procs.2020.02.234</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kotb</surname>
<given-names>T. H. S.</given-names>
</name>
<name>
<surname>Watanabe</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ogino</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Tanji</surname>
<given-names>K. K.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Soil salinization in the Nile Delta and related policy issues in Egypt</article-title>. <source>Agric. water Manag.</source> <volume>43</volume> (<issue>2</issue>), <fpage>239</fpage>&#x2013;<lpage>261</lpage>. <pub-id pub-id-type="doi">10.1016/s0378-3774(99)00052-9</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kowalski</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Serrano-Ortiz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Janssens</surname>
<given-names>I. A.</given-names>
</name>
<name>
<surname>Sanchez-Moral</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Cuezva</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Domingo</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2008</year>). <article-title>Can flux tower research neglect geochemical CO<sub>2</sub> exchange?</article-title> <source>Agric. For. Meteorology</source> <volume>148</volume> (<issue>148</issue>), <fpage>1045</fpage>&#x2013;<lpage>1054</lpage>. <pub-id pub-id-type="doi">10.1016/j.agrformet.2008.02.004</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lavado</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Taboada</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>1987</year>). <article-title>Soil salinization as an effect of grazing in a native grassland soil in the Flooding Pampa of Argentina</article-title>. <source>Soil Use Manag.</source> <volume>3</volume> (<issue>4</issue>), <fpage>143</fpage>&#x2013;<lpage>148</lpage>. <pub-id pub-id-type="doi">10.1111/j.1475-2743.1987.tb00724.x</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>LeCun</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Bengio</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Hinton</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Deep learning</article-title>. <source>Nature</source> <volume>521</volume> (<issue>7553</issue>), <fpage>436</fpage>&#x2013;<lpage>444</lpage>. <pub-id pub-id-type="doi">10.1038/nature14539</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Pu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Soil salinization research in China: Advances and prospects</article-title>. <source>J. Geogr. Sci.</source> <volume>24</volume> (<issue>5</issue>), <fpage>943</fpage>&#x2013;<lpage>960</lpage>. <pub-id pub-id-type="doi">10.1007/s11442-014-1130-2</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Human-related anomalous event detection via spatial-temporal graph convolutional autoencoder with embedded long short-term memory network</article-title>. <source>Neurocomputing</source> <volume>490</volume>, <fpage>482</fpage>&#x2013;<lpage>494</lpage>. <pub-id pub-id-type="doi">10.1016/j.neucom.2021.12.023</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Qian</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Conjunctive use of groundwater and surface water to reduce soil salinization in the Yinchuan Plain, North-West China</article-title>. <source>Int. J. Water Resour. Dev.</source> <volume>34</volume> (<issue>3</issue>), <fpage>337</fpage>&#x2013;<lpage>353</lpage>. <pub-id pub-id-type="doi">10.1080/07900627.2018.1443059</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li-Xian</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Guo-Liang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Shi-Hua</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Gavin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Zhao-Huan</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Salinity of animal manure and potential risk of secondary soil salinization through successive manure application</article-title>. <source>Sci. total Environ.</source> <volume>383</volume> (<issue>1-3</issue>), <fpage>106</fpage>&#x2013;<lpage>114</lpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2007.05.027</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mandel</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1982</year>). <article-title>Use of the singular value decomposition in regression analysis</article-title>. <source>Am. Statistician</source> <volume>36</volume> (<issue>1</issue>), <fpage>15</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.2307/2684086</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Medina</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>H&#xfc;rlimann</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>Z. Z.</given-names>
</name>
<name>
<surname>Lloret</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Vaunat</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Fast physically-based model for rainfall-induced landslide susceptibility assessment at regional scale</article-title>. <source>Catena</source> <volume>201</volume>, <fpage>105213</fpage>. <pub-id pub-id-type="doi">10.1016/j.catena.2021.105213</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Metternicht</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Zinck</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2008</year>). <source>Remote sensing of soil salinization: Impact on land management [M]</source>. <publisher-loc>FL, United States</publisher-loc>: <publisher-name>CRC Press</publisher-name>.</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nachshon</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Cropland soil salinization and associated hydrology: Trends, processes and examples</article-title>. <source>Water</source> <volume>10</volume> (<issue>8</issue>), <fpage>1030</fpage>. <pub-id pub-id-type="doi">10.3390/w10081030</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>O&#x2019;Doherty</surname>
<given-names>J. E.</given-names>
</name>
<name>
<surname>Lebedev</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Ifft</surname>
<given-names>P. J.</given-names>
</name>
<name>
<surname>Zhuang</surname>
<given-names>K. Z.</given-names>
</name>
<name>
<surname>Shokur</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bleuler</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Active tactile exploration using a brain&#x2013;machine&#x2013;brain interface</article-title>. <source>Nature</source> <volume>479</volume> (<issue>7372</issue>), <fpage>228</fpage>&#x2013;<lpage>231</lpage>. <pub-id pub-id-type="doi">10.1038/nature10489</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Okur</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>&#xd6;r&#xe7;en</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2020</year>). <source>Soil salinization and climate change[M]</source>. <publisher-name>Elsevier</publisher-name>.</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Orr</surname>
<given-names>F. M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Carbon capture, utilization, and storage: An update</article-title>. <source>Spe J.</source> <volume>23</volume> (<issue>06</issue>), <fpage>2444</fpage>&#x2013;<lpage>2455</lpage>. <pub-id pub-id-type="doi">10.2118/194190-pa</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Paige</surname>
<given-names>C. C.</given-names>
</name>
<name>
<surname>Saunders</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>1981</year>). <article-title>Towards a generalized singular value decomposition</article-title>. <source>SIAM J. Numer. Analysis</source> <volume>18</volume> (<issue>3</issue>), <fpage>398</fpage>&#x2013;<lpage>405</lpage>. <pub-id pub-id-type="doi">10.1137/0718026</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Rengasamy</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2016</year>). <source>Soil salinization[M]</source>. <publisher-loc>Oxford</publisher-loc>: <publisher-name>Oxford Research Encyclopedia of Environmental Science</publisher-name>.</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rey</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Belelli-Marchesini</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Were</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Serrano-ortiz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Etiope</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Papale</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Wind as a main driver of the net ecosystem carbon balance of a semiarid Mediterranean steppe in the South East of Spain</article-title>. <source>Glob. Change Biol.</source> <volume>18</volume> (<issue>2</issue>), <fpage>539</fpage>&#x2013;<lpage>554</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-2486.2011.02534.x</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rey</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Mind the gap: Non-biological processes contributing to soil CO<sub>2</sub> efflux</article-title>. <source>Glob. Change Biol.</source> <volume>21</volume> (<issue>5</issue>), <fpage>1752</fpage>&#x2013;<lpage>1761</lpage>. <pub-id pub-id-type="doi">10.1111/gcb.12821</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Robinson</surname>
<given-names>P. M.</given-names>
</name>
<name>
<surname>Zaffaroni</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Modelling nonlinearity and long memory in time series[J]</article-title>. <source>Fields Inst. Commun.</source> <volume>11</volume>, <fpage>161</fpage>&#x2013;<lpage>170</lpage>.</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rusnac</surname>
<given-names>A. L.</given-names>
</name>
<name>
<surname>Grigore</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Imaginary speech recognition using a convolutional network with long-short memory</article-title>. <source>Appl. Sci.</source> <volume>12</volume> (<issue>22</issue>), <fpage>11873</fpage>. <pub-id pub-id-type="doi">10.3390/app122211873</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Salman</surname>
<given-names>A. G.</given-names>
</name>
<name>
<surname>Heryadi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Abdurahman</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Suparta</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Single layer &#x26; multi-layer long short-term memory (LSTM) model with intermediate variables for weather forecasting</article-title>. <source>Procedia Comput. Sci.</source> <volume>135</volume>, <fpage>89</fpage>&#x2013;<lpage>98</lpage>. <pub-id pub-id-type="doi">10.1016/j.procs.2018.08.153</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sanchez-Ca&#xf1;ete</surname>
<given-names>E. P.</given-names>
</name>
<name>
<surname>Serrano-Ortiz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kowalski</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Oyonarte</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Domingo</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Subterranean CO<sub>2</sub> ventilation and its role in the net ecosystem carbon balance of a karstic shrubland</article-title>. <source>Geophys. Res. Lett.</source> <volume>38</volume> (<issue>9</issue>), <fpage>159</fpage>&#x2013;<lpage>164</lpage>.</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Savich</surname>
<given-names>V. I.</given-names>
</name>
<name>
<surname>Artikova</surname>
<given-names>H. T.</given-names>
</name>
<name>
<surname>Nafetdinov</surname>
<given-names>S. S.</given-names>
</name>
<name>
<surname>Salimova</surname>
<given-names>K. H.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Optimization of plant development in case of soil salinization</article-title>. <source>Am. J. Agric. Biomed. Eng.</source> <volume>3</volume> (<issue>02</issue>), <fpage>24</fpage>&#x2013;<lpage>29</lpage>. <pub-id pub-id-type="doi">10.37547/tajabe/volume03issue02-05</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schlesinger</surname>
<given-names>W. H.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Carbon sequestration in soils: Some cautions amidst optimism</article-title>. <source>Agric. Ecosyst. Environ.</source> <volume>82</volume> (<issue>1-3</issue>), <fpage>121</fpage>&#x2013;<lpage>127</lpage>. <pub-id pub-id-type="doi">10.1016/s0167-8809(00)00221-8</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schofield</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Thomas</surname>
<given-names>D. S. G.</given-names>
</name>
<name>
<surname>Kirkby</surname>
<given-names>M. J.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Causal processes of soil salinization in Tunisia, Spain and Hungary</article-title>. <source>Land Degrad. Dev.</source> <volume>12</volume> (<issue>2</issue>), <fpage>163</fpage>&#x2013;<lpage>181</lpage>. <pub-id pub-id-type="doi">10.1002/ldr.446</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Serrano-Ortiz</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Roland</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sanchez-Moral</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Janssens</surname>
<given-names>I. A.</given-names>
</name>
<name>
<surname>Domingo</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Godderis</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2010</year>). <article-title>Hidden, abiotic CO<sub>2</sub> flows and gaseous reservoirs in the terrestrial carbon cycle: Review and perspectives</article-title>. <source>Agric. For. Meteorology</source> <volume>151</volume> (<issue>4</issue>), <fpage>321</fpage>&#x2013;<lpage>329</lpage>. <pub-id pub-id-type="doi">10.1016/j.agrformet.2010.01.002</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Singh</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Soil salinization and waterlogging: A threat to environment and agricultural sustainability</article-title>. <source>Ecol. Indic.</source> <volume>57</volume>, <fpage>128</fpage>&#x2013;<lpage>130</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolind.2015.04.027</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Singh</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Microbial and enzyme activities of saline and sodic soils</article-title>. <source>Land Degrad. Dev.</source> <volume>27</volume> (<issue>3</issue>), <fpage>706</fpage>&#x2013;<lpage>718</lpage>. <pub-id pub-id-type="doi">10.1002/ldr.2385</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Skrede</surname>
<given-names>O. J.</given-names>
</name>
<name>
<surname>De Raedt</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kleppe</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hveem</surname>
<given-names>T. S.</given-names>
</name>
<name>
<surname>Liestol</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Maddison</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Deep learning for prediction of colorectal cancer outcome: A discovery and validation study</article-title>. <source>Lancet</source> <volume>395</volume> (<issue>10221</issue>), <fpage>350</fpage>&#x2013;<lpage>360</lpage>. <pub-id pub-id-type="doi">10.1016/s0140-6736(19)32998-8</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stewart</surname>
<given-names>G. W.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>On the early history of the singular value decomposition</article-title>. <source>SIAM Rev.</source> <volume>35</volume> (<issue>4</issue>), <fpage>551</fpage>&#x2013;<lpage>566</lpage>. <pub-id pub-id-type="doi">10.1137/1035134</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Stone</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Have Desert researchers discovered a hidden loop in the carbon cycle?</article-title> <source>Science</source> <volume>320</volume> (<issue>5882</issue>), <fpage>1409</fpage>&#x2013;<lpage>1410</lpage>. <pub-id pub-id-type="doi">10.1126/science.320.5882.1409</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunda</surname>
<given-names>W. G.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>W. J.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Eutrophication induced CO<sub>2</sub>-acidification of subsurface coastal waters: Interactive effects of temperature, salinity, and atmospheric pCO<sub>2</sub>[J]</article-title>. <source>Environ. Sci. Technol.</source> <volume>46</volume> (<issue>19</issue>), <fpage>10651</fpage>&#x2013;<lpage>10659</lpage>. <pub-id pub-id-type="doi">10.1021/es300626f</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tapia</surname>
<given-names>J. F. D.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>J. Y.</given-names>
</name>
<name>
<surname>Ooi</surname>
<given-names>R. E. H.</given-names>
</name>
<name>
<surname>Foo</surname>
<given-names>D. C.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>R. R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>A review of optimization and decision-making models for the planning of CO<sub>2</sub> capture, utilization and storage (CCUS) systems[J]</article-title>. <source>Sustain. Prod. Consum.</source> <volume>13</volume>, <fpage>1</fpage>&#x2013;<lpage>15</lpage>. <pub-id pub-id-type="doi">10.1016/j.spc.2017.10.001</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teh</surname>
<given-names>S. Y.</given-names>
</name>
<name>
<surname>Koh</surname>
<given-names>H. L.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Climate change and soil salinization: Impact on agriculture, water and food security[J]</article-title>. <source>Int. J. Agric. For. Plant.</source> <volume>2</volume>, <fpage>1</fpage>&#x2013;<lpage>9</lpage>.</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tian</surname>
<given-names>C. Y.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>H. F.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>The proposal on control of soil salinization and agricultural sustainable development in the 21st century in Xinjian[J]</article-title>. <source>Arid. Land Geogr.</source> <volume>23</volume> (<issue>2</issue>), <fpage>177</fpage>&#x2013;<lpage>181</lpage>.</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Van Loan</surname>
<given-names>C. F.</given-names>
</name>
</person-group> (<year>1976</year>). <article-title>Generalizing the singular value decomposition</article-title>. <source>SIAM J. Numer. Analysis</source> <volume>13</volume> (<issue>1</issue>), <fpage>76</fpage>&#x2013;<lpage>83</lpage>. <pub-id pub-id-type="doi">10.1137/0713009</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>H. J.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>X. Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L. M.</given-names>
</name>
</person-group> (<year>2021</year>). <source>Interdisciplinary evolution of the machine brain: Vision</source>. <publisher-name>Touch &#x26; Minds [M]Springer</publisher-name>.</citation>
</ref>
<ref id="B73">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>T. Z.</given-names>
</name>
</person-group> (<year>2022</year>). <source>Five-layer intelligence of the machine brain: System modelling and simulation [M]</source>. <publisher-name>Springer</publisher-name>.</citation>
</ref>
<ref id="B74">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Deng</surname>
<given-names>X. Y.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>L. M.</given-names>
</name>
</person-group> (<year>2020</year>). <source>Brain-inspired intelligence and visual perception [M]</source>. <publisher-name>Springer</publisher-name>.</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Pu</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Negative soil respiration fluxes in unneglectable arid regions</article-title>. <source>Pol. J. Environ. Stud.</source> <volume>24</volume> (<issue>2</issue>), <fpage>905</fpage>&#x2013;<lpage>908</lpage>. <pub-id pub-id-type="doi">10.15244/pjoes/23878</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yin</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Approaching the truth of the missing carbon sink</article-title>. <source>Pol. J. Environ. Stud.</source> <volume>25</volume> (<issue>4</issue>), <fpage>1799</fpage>&#x2013;<lpage>1802</lpage>. <pub-id pub-id-type="doi">10.15244/pjoes/62357</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Jing</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Highlighting photocatalytic H<sub>2</sub>-production from natural seawater and the utilization of quasi-photosynthetic absorption as two ultimate solutions for CO<sub>2</sub> mitigation</article-title>. <source>Int. J. Photoenergy</source> <volume>2015</volume>, <fpage>1</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1155/2015/481624</pub-id>
</citation>
</ref>
<ref id="B78">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>H. W.</given-names>
</name>
<name>
<surname>Lv</surname>
<given-names>Z. H.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Qian</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <source>Intelligence in ecology: How internet of things expands insights into the missing CO<sub>2</sub> sink</source>. <publisher-name>Scientific Programming</publisher-name>. <comment>Article ID: 589723</comment>.</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>Y. F.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Lv</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Nanodeserts: A conjecture in nanotechnology to enhance quasi-photosynthetic CO2 absorption</article-title>. <source>Int. J. Polym. Sci.</source> <volume>2016</volume>, <fpage>1</fpage>&#x2013;<lpage>10</lpage>. <pub-id pub-id-type="doi">10.1155/2016/5027879</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Land exploitation resulting in soil salinization in a desert&#x2013;oasis ecotone</article-title>. <source>Catena</source> <volume>100</volume>, <fpage>50</fpage>&#x2013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1016/j.catena.2012.08.005</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Soil salinization after long-term mulched drip irrigation poses a potential risk to agricultural sustainability</article-title>. <source>Eur. J. Soil Sci.</source> <volume>70</volume> (<issue>1</issue>), <fpage>20</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1111/ejss.12742</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Welle</surname>
<given-names>P. D.</given-names>
</name>
<name>
<surname>Mauter</surname>
<given-names>M. S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>High-resolution model for estimating the economic and policy implications of agricultural soil salinization in California</article-title>. <source>Environ. Res. Lett.</source> <volume>12</volume> (<issue>9</issue>), <fpage>094010</fpage>. <pub-id pub-id-type="doi">10.1088/1748-9326/aa848e</pub-id>
</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>J. H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>P. Y.</given-names>
</name>
<name>
<surname>Qian</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Assessment of soil salinization based on a low-cost method and its influencing factors in a semi-arid agricultural area, northwest China</article-title>. <source>Environ. Earth Sci.</source> <volume>71</volume> (<issue>8</issue>), <fpage>3465</fpage>&#x2013;<lpage>3475</lpage>. <pub-id pub-id-type="doi">10.1007/s12665-013-2736-x</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xiaohou</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Min</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ping</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Weiling</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Effect of EM Bokashi application on control of secondary soil salinization[J]</article-title>. <source>Water Sci. Eng.</source> <volume>1</volume> (<issue>4</issue>), <fpage>99</fpage>&#x2013;<lpage>106</lpage>.</citation>
</ref>
<ref id="B85">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Miao</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Assessing the effect of soil salinization on soil microbial respiration and diversities under incubation conditions</article-title>. <source>Appl. Soil Ecol.</source> <volume>155</volume>, <fpage>103671</fpage>. <pub-id pub-id-type="doi">10.1016/j.apsoil.2020.103671</pub-id>
</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Butterbach-Bahl</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Vereecken</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Br&#x00FC;ggemann </surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>A meta-analysis of soil salinization effects on nitrogen pools, cycles and fluxes in coastal ecosystems</article-title>. <source>Glob. change Biol.</source> <volume>23</volume> (<issue>3</issue>), <fpage>1338</fpage>&#x2013;<lpage>1352</lpage>. <pub-id pub-id-type="doi">10.1111/gcb.13430</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhuang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Shao</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Altan</surname>
<given-names>O.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Unequal weakening of urbanization and soil salinization on vegetation production capacity</article-title>. <source>Geoderma</source> <volume>411</volume>, <fpage>115712</fpage>. <pub-id pub-id-type="doi">10.1016/j.geoderma.2022.115712</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhuang</surname>
<given-names>Z. K.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X. Q.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Examining the potential environmental controls of underground CO<sub>2</sub> concentration in arid regions by an SVD-PCA-ANN preview model [J]</article-title>. <source>Math. Problems Eng.</source> <volume>2021</volume>, <fpage>1</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1155/2021/9840335</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>