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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">850724</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.850724</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>RETRACTED: The Effects of Financial Development and Pandemics Prevalence on Forests: Evidence From Asia-Pacific Region</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">The Impact of Financial Development on Forestry</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Jiajie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Khan</surname>
<given-names>Yousaf Ali</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1611364/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Khodaei</surname>
<given-names>Mehdi</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Khezr</surname>
<given-names>Somayeh</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Karimi</surname>
<given-names>Muhammad Sharif</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Salem</surname>
<given-names>Sultan</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Government</institution>, <institution>University of Birmingham</institution>, <addr-line>Birmingham</addr-line>, <country>United Kingdom</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Mathematics and Statistics</institution>, <institution>Hazara University Mansehra</institution>, <addr-line>Mansehra</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Faculty of Economics</institution>, <institution>Tarbiat Modares University</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Faculty of Economics</institution>, <institution>Urmia University</institution>, <addr-line>Urmia</addr-line>, <country>Iran</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Faculty of Economics</institution>, <institution>Razi University</institution>, <addr-line>Kermanshah</addr-line>, <country>Iran</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Faculty of Economics</institution>, <institution>University of Birmingham</institution>, <addr-line>Birmingham</addr-line>, <country>United Kingdom</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/1104675/overview">Ehsan Elahi</ext-link>, Shandong 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/1630106/overview">Waqar Azeem Khan</ext-link>, Beijing Institute of Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/792423/overview">Mubbasher Munir</ext-link>, University of Management and Technology, Pakistan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yousaf Ali Khan, <email>yousaf_hu@yahoo.com</email>; Muhammad Sharif Karimi, <email>sharifkarimi2@yahoo.com</email>
</corresp>
<fn fn-type="other" id="fn1">
<label>
<bold>
<sup>&#x2020;</sup>
</bold>
</label>
<p>
<bold>ORCID ID:</bold>
</p>
<p>Yousaf Ali Khan</p>
<p>
<ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0001-9508-7740">orcid.org/0000-0001-9508-7740</ext-link>
</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>850724</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang, Khan, Khodaei, Khezr, Karimi and Salem.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang, Khan, Khodaei, Khezr, Karimi and Salem</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>Achieving sustainable development and the necessity to pay attention to the quality of the environment is one of the challenges of the new century. Experimental studies on deforestation determinants have focused mainly on analyzing an environmental Kuznets curve for deforestation (EKCd). The present study introduces three contributions to experimental studies using data from 15 Asia-Pacific countries over a 16-year period, from 2005 to 2020. In this regard, the effects of six financial development indexes and a new pandemic uncertainty index on forest regions have been investigated. Furthermore, the effects of the variables have been estimated through a spatial econometric model. This estimation can be used to investigate the variables of neighboring countries on the inland forest cover of countries. Diagnostic tests confirmed the spatial Durbin model. The results indicate the existence of an environmental Kuznets curve hypothesis. The trade openness variable has decreased the inland forest cover; however, the trade openness in neighboring countries has increased the inland forest cover in the countries. Besides, similar results were obtained for urbanization. Furthermore, natural resource rent is a beneficial factor dominating the improvement of forest areas. As confirmed by the results, the financial institution depth has a significant adverse effect on the forest cover of countries. The results for other reductions in financial development are meaningless. Despite the theoretically positive and negative dimensions of pandemics, the estimation results highlight its positive effects in forest regions.</p>
</abstract>
<kwd-group>
<kwd>financial development</kwd>
<kwd>forest region</kwd>
<kwd>Asia-Pacific countries</kwd>
<kwd>spatial econometric</kwd>
<kwd>pandemics</kwd>
<kwd>kuznets curve</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Over the last 2&#xa0;decades, deforestation, depletion of underground water tables, air pollution, and global warming have contributed to the worldwide environmental crisis (<xref ref-type="bibr" rid="B23">Elahi et al., 2018a</xref>; <xref ref-type="bibr" rid="B62">Peng et al., 2021</xref>; <xref ref-type="bibr" rid="B83">Wu et al., 2021</xref>; <xref ref-type="bibr" rid="B90">Zhao et al., 2021</xref>; <xref ref-type="bibr" rid="B26">Elahi et al., 2022a</xref>; <xref ref-type="bibr" rid="B29">Elahi et al., 2022b</xref>). It causes to climate change which ultimately responsible for negative impact on global society (<xref ref-type="bibr" rid="B2">Abid et al., 2018</xref>; <xref ref-type="bibr" rid="B37">Gu et al., 2019</xref>; <xref ref-type="bibr" rid="B78">Van Tran et al., 2019</xref>; <xref ref-type="bibr" rid="B38">Gu et al., 2020b</xref>; <xref ref-type="bibr" rid="B89">Zhao et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Elahi et al., 2021a</xref>). Identifying economic and non-economic factors that may cause land-use conversion (<xref ref-type="bibr" rid="B27">Elahi et al., 2021b</xref>) and deforestation has received interest from international and domestic policymakers (<xref ref-type="bibr" rid="B32">Geist and Lambin, 2002</xref>; <xref ref-type="bibr" rid="B44">Lambin and Meyfroidt, 2011</xref>). Historically, the environment and development have always had a sensitive dependence, and forests have always played an essential role in economic development (<xref ref-type="bibr" rid="B82">Williams, 2003</xref>). As satellite sources indicate, the total forest areas have globally increased (<xref ref-type="bibr" rid="B48">Liu et al., 2020</xref>). As is evident, we are experiencing net forest loss at a declining deforestation rate (<xref ref-type="bibr" rid="B30">FAO, 2020</xref>). Although the global economic expansion rate has been increased, the declining pattern of deforestation support the hypothesis of the environmental Kuznets curve for deforestation (EKCd).</p>
<p>The EKC hypothesis, referred to as forestry, assumes that impoverished countries have relatively low deforestation rates due to the lack of extensive forest exploitation technology (<xref ref-type="bibr" rid="B12">Barbier et al., 2017</xref>). Moreover, rich countries consider the environment a valuable resource, and the rate of deforestation in these countries is low. Therefore, most of the exploitation and deforestation occurs in middle-income countries. While some studies support the presence of the EKC hypothesis regarding deforestation (<xref ref-type="bibr" rid="B8">Antle and Heidebrink, 1995</xref>; <xref ref-type="bibr" rid="B22">Ehrhardt-Martinez., 1998</xref>; <xref ref-type="bibr" rid="B54">Motel et al., 2009</xref>; <xref ref-type="bibr" rid="B41">Joshi and Beck, 2016</xref>; <xref ref-type="bibr" rid="B18">Cuaresma et al., 2017</xref>; <xref ref-type="bibr" rid="B6">Andr&#xe9;e et al., 2019</xref>), other studies have not reached a definite conclusion in this regard (<xref ref-type="bibr" rid="B43">Koop and Tole, 1999</xref>; <xref ref-type="bibr" rid="B77">Van and Azomahou, 2007</xref>; <xref ref-type="bibr" rid="B53">Mills and Waite, 2009</xref>; <xref ref-type="bibr" rid="B19">Damette and Delacote, 2012</xref>; <xref ref-type="bibr" rid="B45">Leblois et al., 2017</xref>; <xref ref-type="bibr" rid="B59">Ogundari et al., 2017</xref>).</p>
<p>The financial sector development play a fundamental role in resource monitoring, savings, business transactions and mobility for economic growth (<xref ref-type="bibr" rid="B56">Nasreen et al., 2017</xref>). Financial development technologically and structurally affects the environment, stimulating financial channels through foreign investment, leading to R&#x26;D projects in green environmental technology (<xref ref-type="bibr" rid="B21">Du et al., 2012</xref>).</p>
<p>Financial development affects the environment through the technique, composition, and scale effects (<xref ref-type="bibr" rid="B66">Peng et al., 2022a</xref>; <xref ref-type="bibr" rid="B67">Peng et al., 2022b</xref>; <xref ref-type="bibr" rid="B72">Saud et al., 2020</xref>). The technique effects refer to the transfer of green technology and environmentally friendly products from financial development, increasing the quality of the environment by reducing energy consumption, improving production procedures (<xref ref-type="bibr" rid="B65">Peng et al., 2019b</xref>; <xref ref-type="bibr" rid="B74">Shen et al., 2019</xref>; <xref ref-type="bibr" rid="B76">Tu et al., 2019</xref>; <xref ref-type="bibr" rid="B91">Zheng et al., 2020</xref>), and decreasing deforestation. The scale effects through economic liberalization, the purchase of large-scale equipment, and the creation of new production deplete natural resources (<xref ref-type="bibr" rid="B86">Zhang et al., 2018</xref>; <xref ref-type="bibr" rid="B68">Peng et al., 2020b</xref>; <xref ref-type="bibr" rid="B60">Pazienza, 2015</xref>). On the other hand, the composition effects refer to the economic movement from an agricultural-based economy to an industry that leads to the movement of a traditional economy based on the production of primary goods towards industrial goods and a reduction in deforestation. The composition depends on the production expertise of the economy and competitive advantage (<xref ref-type="bibr" rid="B64">Peng et al., 2018</xref>; <xref ref-type="bibr" rid="B61">Peng et al., 2020a</xref>; <xref ref-type="bibr" rid="B93">Zhong et al., 2020</xref>; <xref ref-type="bibr" rid="B92">Zhong et al., 2021</xref>; <xref ref-type="bibr" rid="B17">Cole and Elliott, 2003</xref>). Multiple pieces of research have examined the effects of financial development on CO<sub>2</sub> emissions investigating the different channels of financial development impact on environmental quality (<xref ref-type="bibr" rid="B94">Ziaei, 2015</xref>; <xref ref-type="bibr" rid="B1">Abbasi and Riaz, 2016</xref>; <xref ref-type="bibr" rid="B71">Salahuddin et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Charfeddine and Kahia, 2019</xref>; <xref ref-type="bibr" rid="B33">Gokmenoglu and Sadeghieh, 2019</xref>; <xref ref-type="bibr" rid="B3">Acheampong et al., 2020</xref>; <xref ref-type="bibr" rid="B42">Kayani et al., 2020</xref>; <xref ref-type="bibr" rid="B87">Zhao and Yang, 2020</xref>). However, no research has been conducted on deforestation. Accordingly, as the first contribution, the present study investigates the effects of six different components of the financial development index on the deforestation rate.</p>
<p>Some studies have concentrated on the consequences of COVID-19 on the quality of water (<xref ref-type="bibr" rid="B85">Yunus et al., 2020</xref>), and green gas emission (<xref ref-type="bibr" rid="B55">Muhammad, Long, and Salman, 2020</xref>; <xref ref-type="bibr" rid="B11">Bao and Zhang, 2020</xref>; <xref ref-type="bibr" rid="B51">Marlier et al., 2020</xref>). The economic downturn resulting from epidemics may decrease the growth of infrastructure projects; therefore, deforestation slows down due to reduced construction of roads, dams, and mining. On the other hand, the imposed political and commercial environments, the depreciation of the national currency, and the increased domestic and international demand for agricultural products calm the regulations and agreements on forest protection (<xref ref-type="bibr" rid="B20">Degnarain, 2020</xref>). Accordingly, farmers have a better chance of trading the extra yields from a larger production area and illegal foresters for obtaining land titles for invaded lands (<xref ref-type="bibr" rid="B73">Seymour and Harris, 2019</xref>; <xref ref-type="bibr" rid="B14">Brancalion et al., 2020</xref>). In this study, to understand the effects of epidemic outbreaks on deforestation, such effects have been investigated using a new index. Previous studies have used dummy variables such as morbidity/mortality to consider its effects on different economic accepts; however, in the present study, a new index, World Pandemic Uncertainty Index (WPUI), measure uncertainty related to pandemics across the globe (<xref ref-type="bibr" rid="B5">Ahir et al., 2020</xref>). To the best of the authors&#x2019; knowledge, this is the first experimental study that examines the consequences of epidemics on deforestation change, and it is the second contribution in the article.</p>
<p>Several topics associated with environmental problems have spatial interdependence (<xref ref-type="bibr" rid="B63">Peng et al., 2019a</xref>; <xref ref-type="bibr" rid="B75">Sheng et al., 2019</xref>; Wang et al., 2021; <xref ref-type="bibr" rid="B88">Zhao et al., 2019</xref>; <xref ref-type="bibr" rid="B49">Lv and Li 2020</xref>). Spatial interdependence means that observations of one cross-section depend on other cross-sections. <xref ref-type="bibr" rid="B49">Lv and Li (2020)</xref> used a panel data spatial econometric to indicate that the financial development of its neighbors could influence a country&#x2019;s CO2 emissions. Therefore, the traditional panel econometric techniques give rise to biased estimations and neglecting spatial interaction dependence to get the spatial spillover effect of the independent variables of the neighboring countries on the deforestation rate of a special country (<xref ref-type="bibr" rid="B52">Meng and Huang, 2018</xref>; <xref ref-type="bibr" rid="B84">You and Lv, 2018</xref>). The third contribution of the present paper is the spatial econometric models to investigate the effects of deforestation rate determinants.</p>
<p>The rest of the paper is organized as follows: <italic>Methodology and Data</italic> defines the data sample and empirical models employed; <italic>Emperical Results and Discussions</italic> presents empirical results, and <italic>Conclusion and Policy Implications</italic> concludes the study and provides some policy implications.</p>
</sec>
<sec id="s2">
<title>Methodology and Data</title>
<sec id="s2-1">
<title>Empirical Model</title>
<p>According to <xref ref-type="bibr" rid="B50">Maji (2017)</xref> and <xref ref-type="bibr" rid="B57">Nathaniel and Bekun (2020)</xref>, the current study leading equation is presented as follows with some modifications. The logarithm of the forest area (<inline-formula id="inf1">
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</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>A developed financial sector has cheaper access to credit finance for purchasing new machinery and equipment (<xref ref-type="bibr" rid="B70">Sadorsky, 2010</xref>, <xref ref-type="bibr" rid="B69">2011</xref>; <xref ref-type="bibr" rid="B4">Acheampong, 2019</xref>). As mentioned, the effects of financial development on environmental quality can be summarized in the technique, scale, and composition effects (<xref ref-type="bibr" rid="B72">Saud et al., 2020</xref>). <xref ref-type="bibr" rid="B39">Hyde (2012)</xref> and <xref ref-type="bibr" rid="B58">Niklitschek (2007)</xref> showed that trade and technology improvements decrease the point at which forests begin to recover. <xref ref-type="bibr" rid="B45">Leblois et al. (2017)</xref> demonstrated that public economic liberalization and trade openness lead to deforestation. Urbanization is another driver of deforestation as it is associated with reduced pressure on forest resources, providing better job opportunities outside the forest sector (<xref ref-type="bibr" rid="B39">Hyde, 2012</xref>). Moreover, the squared form of GDP per capita is considered to investigate the Environmental Kuznets Curve (EKC) hypothesis. According to this hypothesis, when economic growth is considered an independent variable, environmental quality is an inverted U-shaped (<xref ref-type="bibr" rid="B34">Grossman and Krueger, 1991</xref>; <xref ref-type="bibr" rid="B46">Lee et al., 2010</xref>). Therefore, the negative coefficient of the squared form of GDP per capita is theoretically discussed and needs to be investigated.</p>
<p>In the present study, spatial econometric models are used to investigate the effects of domestic determinants of forest regions and the probable spillover effects of the independent variable in neighboring units. A spatial panel model can include a lagged dependent variable, a spatially autoregressive process in the error term, or the spatially lagged independent variables (<xref ref-type="bibr" rid="B47">LeSage and Pace, 2009</xref>; <xref ref-type="bibr" rid="B7">Anselin et al., 2008</xref>). The spatial lag model is formulated as follows:<disp-formula id="e2">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
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<mml:mrow>
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<mml:munderover>
<mml:mstyle displaystyle="true">
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</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
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<mml:mi>j</mml:mi>
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<mml:msub>
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<mml:mi>t</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
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<mml:mi>&#x3b2;</mml:mi>
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<mml:mrow>
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<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
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</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>Where <inline-formula id="inf9">
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<mml:mi>t</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the dependent variable for cross-sectional unit <inline-formula id="inf10">
<mml:math id="m12">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
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<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>N</mml:mi>
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</inline-formula> at time <inline-formula id="inf11">
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<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
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<mml:mo>&#xa0;</mml:mo>
<mml:mn>...</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a 1&#xd7;K vector of exogenous variables. The variable <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the interaction effect of the dependent variables <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in neighboring units on the dependent variable <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the <inline-formula id="inf17">
<mml:math id="m19">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>j</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> element of a prespecified nonnegative <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> spatial weights matrix <inline-formula id="inf19">
<mml:math id="m21">
<mml:mi>w</mml:mi>
</mml:math>
</inline-formula>. <inline-formula id="inf20">
<mml:math id="m22">
<mml:mi>&#x3bb;</mml:mi>
</mml:math>
</inline-formula> is the response parameter of the interaction effects. <inline-formula id="inf21">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is an independently and identically distributed error term which is assumed to be noramly distributed at zero mean value and constant variance (<xref ref-type="bibr" rid="B28">Elahi et al., 2017</xref>; <xref ref-type="bibr" rid="B24">Elahi et al., 2018b</xref>; <xref ref-type="bibr" rid="B35">Gu et al., 2020a</xref>; <xref ref-type="bibr" rid="B27">Elahi et al., 2021b</xref>; <xref ref-type="bibr" rid="B36">Gu et al., 2021</xref>). <inline-formula id="inf22">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes a spatial specific effect, and <inline-formula id="inf23">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a time-period specific effect (<xref ref-type="bibr" rid="B10">Baltagi, 2005</xref>).</p>
<p>The spatial error model includes the error term of unit <italic>i</italic>, <inline-formula id="inf24">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
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<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, which depends on an idiosyncratic component <inline-formula id="inf25">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c5;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the spatial weights matrix W:<disp-formula id="e3">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
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<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
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<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
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<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Also, the spatial Durbin model is an extended version of the spatial lag model with spatially lagged independent variables:<disp-formula id="e4">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:munderover>
<mml:mstyle displaystyle="true">
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</sec>
<sec id="s2-2">
<title>Data</title>
<p>The data from 15 East Asia and Pacific countries over a 15-year period, from 2005 to 2020, was collected to investigate the effects of forest region determinants. <xref ref-type="fig" rid="F1">Figure 1</xref> shows a comparative observation for forest region density in the countries. All variables are in logarithms; therefore, the estimated coefficients are elasticity. A summary of the constructed variables used in the analysis and the descriptive statistics is presented in <xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="table" rid="T2">Table 2</xref>, respectively.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Forest region (as a percentage of land) in the countries.</p>
</caption>
<graphic xlink:href="fenvs-10-850724-g001.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Constructed variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Variable constructed</th>
<th align="center">Source</th>
</tr>
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<tbody valign="top">
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<td align="left">
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</td>
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<tr>
<td align="left">
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<td align="center">WDI</td>
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</inline-formula> RENT<sub>it</sub> &#x3d; Total natural resources rents (as a percentage of GDP)</td>
<td align="center">WDI</td>
</tr>
<tr>
<td align="left">
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</inline-formula> OPE<sub>it</sub> &#x3d; Trade Openness (total exports and imports as a percentage of GDP (</td>
<td align="center">WDI</td>
</tr>
<tr>
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</inline-formula> URB<sub>it</sub> &#x3d; Urban population (as a percentage of the total population)</td>
<td align="center">WDI</td>
</tr>
<tr>
<td align="left">
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</inline-formula> WPUI<sub>it</sub> &#x3d; World Pandemic Uncertainty Index</td>
<td align="center">WDI</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf40">
<mml:math id="m44">
<mml:mrow>
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<td align="left">
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</inline-formula> FID<sub>it</sub> &#x3d; the Development of Financial Institution depth</td>
<td align="center">IMF</td>
</tr>
<tr>
<td align="left">
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<td align="left">
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</inline-formula> FIA<sub>it</sub> &#x3d; the Development of Financial Institution access</td>
<td align="center">IMF</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf44">
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<td align="left">
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</inline-formula> FIE<sub>it</sub> &#x3d; the Development of Financial Institution efficiency</td>
<td align="center">IMF</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf46">
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</td>
<td align="left">
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<td align="center">IMF</td>
</tr>
<tr>
<td align="left">
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</td>
<td align="left">
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</inline-formula> FMA<sub>it</sub> &#x3d; the Development of Financial Market access</td>
<td align="center">IMF</td>
</tr>
<tr>
<td align="left">
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</td>
<td align="left">
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</inline-formula> FME<sub>it</sub> &#x3d; the Development of Financial Market efficiency</td>
<td align="center">IMF</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>WDI, world development indicator; <ext-link ext-link-type="uri" xlink:href="https://datacatalog.worldbank.org/dataset/world-development-indicators">https://datacatalog.worldbank.org/dataset/world-development-indicators</ext-link>. IMF, international monetary fund; <ext-link ext-link-type="uri" xlink:href="https://data.imf.org/">https://data.imf.org/</ext-link>
</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>A summary of descriptive statistics from 2005 to 2020.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Mean</th>
<th align="center">Median</th>
<th align="center">Maximum</th>
<th align="center">Minimum</th>
<th align="center">Std. Dev.</th>
<th align="center">Observations</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<inline-formula id="inf52">
<mml:math id="m56">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
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</td>
<td align="char" char=".">3.598</td>
<td align="char" char=".">3.776</td>
<td align="char" char=".">4.408</td>
<td align="char" char=".">1.985</td>
<td align="char" char=".">0.624</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf53">
<mml:math id="m57">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula>
</td>
<td align="char" char=".">8.596</td>
<td align="char" char=".">8.260</td>
<td align="char" char=".">10.928</td>
<td align="char" char=".">5.835</td>
<td align="char" char=".">1.536</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf54">
<mml:math id="m58">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula>
</td>
<td align="char" char=".">0.285</td>
<td align="char" char=".">1.227</td>
<td align="char" char=".">3.819</td>
<td align="char" char=".">-8.075</td>
<td align="char" char=".">2.956</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf55">
<mml:math id="m59">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
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</td>
<td align="char" char=".">4.200</td>
<td align="char" char=".">4.319</td>
<td align="char" char=".">6.081</td>
<td align="char" char=".">-1.787</td>
<td align="char" char=".">1.307</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf56">
<mml:math id="m60">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>U</mml:mi>
<mml:mi>R</mml:mi>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">3.937</td>
<td align="char" char=".">3.947</td>
<td align="char" char=".">4.605</td>
<td align="char" char=".">2.922</td>
<td align="char" char=".">0.496</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf57">
<mml:math id="m61">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>U</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">0.462</td>
<td align="char" char=".">0.000</td>
<td align="char" char=".">8.639</td>
<td align="char" char=".">0.000</td>
<td align="char" char=".">1.705</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf58">
<mml:math id="m62">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>I</mml:mi>
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<mml:mi>D</mml:mi>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">3.173</td>
<td align="char" char=".">3.639</td>
<td align="char" char=".">4.581</td>
<td align="char" char=".">0.537</td>
<td align="char" char=".">1.186</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf59">
<mml:math id="m63">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">3.157</td>
<td align="char" char=".">3.483</td>
<td align="char" char=".">4.526</td>
<td align="char" char=".">0.968</td>
<td align="char" char=".">1.119</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf60">
<mml:math id="m64">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>I</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">4.268</td>
<td align="char" char=".">4.331</td>
<td align="char" char=".">4.470</td>
<td align="char" char=".">3.078</td>
<td align="char" char=".">0.191</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf61">
<mml:math id="m65">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">3.195</td>
<td align="char" char=".">3.658</td>
<td align="char" char=".">4.598</td>
<td align="char" char=".">0.066</td>
<td align="char" char=".">1.373</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf62">
<mml:math id="m66">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">3.058</td>
<td align="char" char=".">3.698</td>
<td align="char" char=".">4.533</td>
<td align="char" char=".">0.000</td>
<td align="char" char=".">1.478</td>
<td align="char" char=".">255</td>
</tr>
<tr>
<td align="left">
<inline-formula id="inf63">
<mml:math id="m67">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>F</mml:mi>
<mml:mi>M</mml:mi>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="char" char=".">2.946</td>
<td align="char" char=".">3.699</td>
<td align="char" char=".">4.615</td>
<td align="char" char=".">0.000</td>
<td align="char" char=".">1.872</td>
<td align="char" char=".">255</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The spatial lag or the spatial error in the spatial and time-period fixed effects model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left"/>
<th colspan="2" align="center">Pooled OLS</th>
<th colspan="2" align="center">Spatial fixed effects</th>
<th colspan="2" align="center">Time-period fixed effects</th>
<th colspan="2" align="center">Spatial and time-period fixed effects</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">Model 1</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">20.424</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.452</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">45.358</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">10.456</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">33.571</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">0.867</td>
<td align="char" char=".">(0.352)</td>
<td align="char" char=".">33.885</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.014</td>
<td align="char" char=".">(0.005&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">27.288</td>
<td align="char" char=".">(0.054&#x2a;)</td>
<td align="char" char=".">1388.013</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 2</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">21.855</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">7.499</td>
<td align="char" char=".">(0.006&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">45.766</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">9.503</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">33.73</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">0.384</td>
<td align="char" char=".">(0.535)</td>
<td align="char" char=".">34.329</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">6.985</td>
<td align="char" char=".">(0.008&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">28.262</td>
<td align="char" char=".">(0.042&#x2a;&#x2a;)</td>
<td align="char" char=".">1392.519</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 3</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">19.956</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.248</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">50.608</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">10.789</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">33.175</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">0.844</td>
<td align="char" char=".">(0.358)</td>
<td align="char" char=".">34.516</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.352</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">27.046</td>
<td align="char" char=".">(0.057&#x2a;)</td>
<td align="char" char=".">1381.134</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 4</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">20.159</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">9.188</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">44.763</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">10.918</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">32.186</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">1.371</td>
<td align="char" char=".">(0.242)</td>
<td align="char" char=".">32.645</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.493</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">25.114</td>
<td align="char" char=".">(0.092&#x2a;)</td>
<td align="char" char=".">1387.689</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 5</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">29.074</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">9.716</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">48.527</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">11.108</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">38.944</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">2.265</td>
<td align="char" char=".">(0.132)</td>
<td align="char" char=".">39.365</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.848</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">23.617</td>
<td align="char" char=".">(0.13)</td>
<td align="char" char=".">1388.213</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 6</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">21.605</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">7.645</td>
<td align="char" char=".">(0.006&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">50.015</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">9.794</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">34.662</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">0.821</td>
<td align="char" char=".">(0.365)</td>
<td align="char" char=".">36.925</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">7.432</td>
<td align="char" char=".">(0.006&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">25.428</td>
<td align="char" char=".">(0.086&#x2a;)</td>
<td align="char" char=".">1382.887</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td rowspan="3" align="left">Model 7</td>
<td align="left">LM spatial lag</td>
<td align="char" char=".">20.591</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">8.595</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">44.934</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">10.338</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LM spatial error</td>
<td align="char" char=".">33.375</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">0.995</td>
<td align="char" char=".">(0.319)</td>
<td align="char" char=".">33.644</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">7.93</td>
<td align="char" char=".">(0.005&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">LR-test</td>
<td align="left"/>
<td align="left"/>
<td align="char" char=".">27.401</td>
<td align="char" char=".">(0.052&#x2a;)</td>
<td align="char" char=".">1388.393</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: <italic>p</italic>-value, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; show significance at 1, 5, and 10% level respectively.</p>
</fn>
<fn>
<p>Source: Authors&#x2019; estimations.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>Emperical Results and Discussions</title>
<p>Two different Likelihood Ratio (LR) tests are used to investigate the probability of the time-period fixed effects and spatial fixed effects in the models. The simultaneous spatial and time-period fixed effects are compared with the time-period fixed effects and/or the spatial fixed effects in models. If the null hypothesis is rejected, the model with simultaneous spatial and time-period fixed effects is selected, and if the alternative hypothesis is rejected, the subsequent model is selected. The LR test statistics for each model are presented in <xref ref-type="table" rid="T1">Table 1</xref>. The test results indicate that the LR test statistics are significant in the different models. Accordingly, the model of simultaneous spatial and time-period fixed effects is selected as the best model.</p>
<p>Alternatively, the inclusion of the spatial lag or the spatial error in the model is tested in <xref ref-type="table" rid="T1">Table 1</xref>. For this purpose, the Lagrange Multiplier (LM) is used for a spatially lagged dependent variable and spatial error autoregressive using the residuals of a non-spatial model. If the null hypothesis of the LM test is rejected, the presence of the spatial lagged model and the spatial error model will be confirmed.</p>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> presents that the amount of test statistics in all models is significant at the level of one percent. Therefore, spatial lagged and spatial error effects must be entered. The presence of spatial interaction effects in the model emphasizes the requirement to consider such effects to the forest area model in experimental studies.</p>
<p>Furthermore, two different hypotheses of <inline-formula id="inf64">
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<mml:mi>H</mml:mi>
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</inline-formula> and <inline-formula id="inf65">
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<mml:mo>:</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> are examined and presented in <xref ref-type="disp-formula" rid="e4">Eq. 4</xref>. If the first hypothesis is correct, the spatial Durbin model is simplified to the spatial lag model. Besides, if the second hypothesis is correct, the spatial Durbin model can be simplified to a spatial error model (<xref ref-type="bibr" rid="B15">Burridge, 1980</xref>). For this purpose, the LR and Wald tests have been used. As presented in <xref ref-type="table" rid="T2">Table 2</xref>, the statistical value of the two tests is significant for all models, and the existence of the spatial lagged independent variable is also confirmed. Therefore, the spatial Durbin model is the basis for analyzing the estimation results. Finally, the Hausman test results to examine the possibility of replacing the fixed effects model with a random-effects model is presented in <xref ref-type="table" rid="T4">Table 4</xref>. The null hypothesis in this test emphasizes the existence of random effects in the model. The test results show that the random-effects model is confirmed at a significance level of 1% for the spatial Durbin model.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>The spatial durbin model and hausman test results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Model 1</th>
<th align="center">Model 2</th>
<th align="center">Model 3</th>
<th align="center">Model 4</th>
<th align="center">Model 5</th>
<th align="center">Model 6</th>
<th align="center">Model 7</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Hausman test-statistic in spatial lag model</td>
<td align="char" char=".">40.743</td>
<td align="char" char=".">39.668</td>
<td align="char" char=".">44.097</td>
<td align="char" char=".">44.21</td>
<td align="char" char=".">44.543</td>
<td align="char" char=".">41.328</td>
<td align="char" char=".">40.87</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">Hausman test-statistic spatial Durbin model</td>
<td align="char" char=".">19.513</td>
<td align="char" char=".">14.748</td>
<td align="char" char=".">6.009</td>
<td align="char" char=".">22.093</td>
<td align="char" char=".">3.602</td>
<td align="char" char=".">19.397</td>
<td align="char" char=".">2.793</td>
</tr>
<tr>
<td align="char" char=".">(0.108)</td>
<td align="char" char=".">(0.47)</td>
<td align="char" char=".">(0.98)</td>
<td align="char" char=".">(0.105)</td>
<td align="char" char=".">(1)</td>
<td align="char" char=".">(0.196)</td>
<td align="char" char=".">(1)</td>
</tr>
<tr>
<td colspan="8" align="center">fixed effects estimator</td>
</tr>
<tr>
<td rowspan="2" align="left">Wald test: spatial Durbin model against spatial lag model</td>
<td align="char" char=".">65.284</td>
<td align="char" char=".">69.358</td>
<td align="char" char=".">65.771</td>
<td align="char" char=".">67.38</td>
<td align="char" char=".">59.184</td>
<td align="char" char=".">64.397</td>
<td align="char" char=".">69.158</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">Wald test: spatial Durbin model against spatial error model</td>
<td align="char" char=".">73.587</td>
<td align="char" char=".">77.863</td>
<td align="char" char=".">72.843</td>
<td align="char" char=".">74.72</td>
<td align="char" char=".">65.212</td>
<td align="char" char=".">70.388</td>
<td align="char" char=".">77.874</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">LR test: spatial Durbin model against spatial lag model</td>
<td align="char" char=".">59.446</td>
<td align="char" char=".">61.931</td>
<td align="char" char=".">59.513</td>
<td align="char" char=".">60.273</td>
<td align="char" char=".">55.393</td>
<td align="char" char=".">58.718</td>
<td align="char" char=".">62.838</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">LR test: spatial Durbin model against spatial error model</td>
<td align="char" char=".">58.98</td>
<td align="char" char=".">62.04</td>
<td align="char" char=".">58.117</td>
<td align="char" char=".">59.422</td>
<td align="char" char=".">54.404</td>
<td align="char" char=".">58.19</td>
<td align="char" char=".">62.524</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td colspan="8" align="center">random-effects estimator</td>
</tr>
<tr>
<td rowspan="2" align="left">Wald test: spatial Durbin model against spatial lag model</td>
<td align="char" char=".">58.07</td>
<td align="char" char=".">64.721</td>
<td align="char" char=".">68.011</td>
<td align="char" char=".">60.326</td>
<td align="char" char=".">54.527</td>
<td align="char" char=".">57.455</td>
<td align="char" char=".">59.344</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">Wald test: spatial Durbin model against spatial error model</td>
<td align="char" char=".">67.753</td>
<td align="char" char=".">74.711</td>
<td align="char" char=".">75.823</td>
<td align="char" char=".">68.688</td>
<td align="char" char=".">61.456</td>
<td align="char" char=".">63.735</td>
<td align="char" char=".">69.124</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">LR test: spatial Durbin model against spatial lag model</td>
<td align="char" char=".">45.402</td>
<td align="char" char=".">50.729</td>
<td align="char" char=".">49.621</td>
<td align="char" char=".">47.212</td>
<td align="char" char=".">41.662</td>
<td align="char" char=".">44.242</td>
<td align="char" char=".">45.824</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td rowspan="2" align="left">LR test: spatial Durbin model against spatial error model</td>
<td align="char" char=".">49.866</td>
<td align="char" char=".">55.7</td>
<td align="char" char=".">53.227</td>
<td align="char" char=".">51.458</td>
<td align="char" char=".">45.446</td>
<td align="char" char=".">48.467</td>
<td align="char" char=".">50.481</td>
</tr>
<tr>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: <italic>p</italic>-value, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; show significance at 1, 5, and 10% level respectively. Source: Authors&#x2019; estimations.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>According to the estimation results of <xref ref-type="table" rid="T5">Table 5</xref>, each percent increase in GDP per capita leads to a significant decrease of about 0.15 percent in the forest regions of countries. The squared form of GDP per capita is also positive and significant. A positive value of about 0.01 of the coefficient indicates that with increasing GDP per capita, its effects on reducing forest cover will decrease, which confirms the existence of Kuznets hypothesis in the sample of the studied countries. Resource rent is one of the influential variables in maintaining forest cover. The coefficient of the variable is significantly about 0.024. However, the trade openness variable harms the coverage of forest regions, and each percentage of growth in it leads to a decrease of about 0.005%. Urbanization and the epidemic uncertainty index have positive effects on forest regions. Each percentage increase in the former results is about 0.16%, while the latter results are about 0.004.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The estimation results for the spatial durbin model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Model 1</th>
<th align="left">Model 2</th>
<th align="left">Model 3</th>
<th align="left">Model 4</th>
<th align="left">Model 5</th>
<th align="left">Model 6</th>
<th align="left">Model 7</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>lnGDP</italic>
</td>
<td align="char" char=".">&#x2212;0.15</td>
<td align="char" char=".">&#x2212;0.066</td>
<td align="char" char=".">&#x2212;0.19</td>
<td align="char" char=".">&#x2212;0.143</td>
<td align="char" char=".">&#x2212;0.139</td>
<td align="char" char=".">&#x2212;0.147</td>
<td align="char" char=".">&#x2212;0.146</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.024&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.356)</td>
<td align="char" char=".">(0.006&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.032&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.047&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.03&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.028&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>lnGDP</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="char" char=".">0.011</td>
<td align="char" char=".">0.006</td>
<td align="char" char=".">0.014</td>
<td align="char" char=".">0.011</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.011</td>
<td align="char" char=".">0.011</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.017&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.263)</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.023&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.065&#x2a;)</td>
<td align="char" char=".">(0.023&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.019&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>lnRENT</italic>
</td>
<td align="char" char=".">0.024</td>
<td align="char" char=".">0.028</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.025</td>
<td align="char" char=".">0.022</td>
<td align="char" char=".">0.024</td>
<td align="char" char=".">0.025</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>lnOPEN</italic>
</td>
<td align="char" char=".">&#x2212;0.007</td>
<td align="char" char=".">&#x2212;0.005</td>
<td align="char" char=".">&#x2212;0.007</td>
<td align="char" char=".">&#x2212;0.007</td>
<td align="char" char=".">&#x2212;0.006</td>
<td align="char" char=".">&#x2212;0.007</td>
<td align="char" char=".">&#x2212;0.006</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.095&#x2a;)</td>
<td align="char" char=".">(0.245)</td>
<td align="char" char=".">(0.087&#x2a;)</td>
<td align="char" char=".">(0.091&#x2a;)</td>
<td align="char" char=".">(0.11)</td>
<td align="char" char=".">(0.074&#x2a;)</td>
<td align="char" char=".">(0.106)</td>
</tr>
<tr>
<td align="left">
<italic>lnRENT</italic>
</td>
<td align="char" char=".">0.165</td>
<td align="char" char=".">0.184</td>
<td align="char" char=".">0.175</td>
<td align="char" char=".">0.152</td>
<td align="char" char=".">0.166</td>
<td align="char" char=".">0.155</td>
<td align="char" char=".">0.161</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.001&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.019&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>lnWPUI</italic>
</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.003</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.004</td>
<td align="char" char=".">0.004</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.042&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.082&#x2a;)</td>
<td align="char" char=".">(0.055&#x2a;)</td>
<td align="char" char=".">(0.036&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.038&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.058&#x2a;)</td>
<td align="char" char=".">(0.046&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>lnFID</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2212;0.03</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.039&#x2a;&#x2a;)</td>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>lnFIA</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2212;0.003</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.829)</td>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>lnFIE</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2212;0.031</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.164)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>lnFMD</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">0.007</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.436)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>lnFMA</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="left"/>
<td align="char" char=".">0.011</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.397)</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>lnFME</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2212;0.007</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.519)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnGDP</italic>
</td>
<td align="char" char=".">0.642</td>
<td align="char" char=".">0.645</td>
<td align="char" char=".">0.396</td>
<td align="char" char=".">0.6</td>
<td align="char" char=".">0.62</td>
<td align="char" char=".">0.634</td>
<td align="char" char=".">0.679</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.007&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.117)</td>
<td align="char" char=".">(0.008&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.006&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.005&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnGDP</italic>
<sup>
<italic>2</italic>
</sup>
</td>
<td align="char" char=".">&#x2212;0.022</td>
<td align="char" char=".">&#x2212;0.023</td>
<td align="char" char=".">&#x2212;0.006</td>
<td align="char" char=".">&#x2212;0.02</td>
<td align="char" char=".">&#x2212;0.024</td>
<td align="char" char=".">&#x2212;0.022</td>
<td align="char" char=".">&#x2212;0.023</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.054&#x2a;)</td>
<td align="char" char=".">(0.067&#x2a;)</td>
<td align="char" char=".">(0.647)</td>
<td align="char" char=".">(0.083&#x2a;)</td>
<td align="char" char=".">(0.037&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.052&#x2a;)</td>
<td align="char" char=".">(0.047&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnRENT</italic>
</td>
<td align="char" char=".">0.046</td>
<td align="char" char=".">0.045</td>
<td align="char" char=".">0.033</td>
<td align="char" char=".">0.043</td>
<td align="char" char=".">0.041</td>
<td align="char" char=".">0.041</td>
<td align="char" char=".">0.053</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.003&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.004&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.069&#x2a;)</td>
<td align="char" char=".">(0.01&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.016&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.02&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.002&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnOPEN</italic>
</td>
<td align="char" char=".">0.036</td>
<td align="char" char=".">0.044</td>
<td align="char" char=".">0.036</td>
<td align="char" char=".">0.042</td>
<td align="char" char=".">0.039</td>
<td align="char" char=".">0.035</td>
<td align="char" char=".">0.036</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.02&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.016&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.019&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.008&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.02&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.024&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.02&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnURB</italic>
</td>
<td align="char" char=".">&#x2212;1.181</td>
<td align="char" char=".">&#x2212;1.178</td>
<td align="char" char=".">&#x2212;0.827</td>
<td align="char" char=".">&#x2212;1.161</td>
<td align="char" char=".">&#x2212;1.108</td>
<td align="char" char=".">&#x2212;1.163</td>
<td align="char" char=".">&#x2212;1.228</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.01)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
<td align="char" char=".">(0.000&#x2a;&#x2a;&#x2a;)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnWPUI</italic>
</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">&#x2212;0.001</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">&#x2212;0.001</td>
<td align="char" char=".">0</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">(0.994)</td>
<td align="char" char=".">(0.9)</td>
<td align="char" char=".">(0.783)</td>
<td align="char" char=".">(0.994)</td>
<td align="char" char=".">(0.997)</td>
<td align="char" char=".">(0.883)</td>
<td align="char" char=".">(0.919)</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnFID</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">0.016</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.772)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnFIA</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2212;0.071</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.31)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnFIE</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">0.04</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.632)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnFMD</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">0.03</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left"/>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">(0.345)</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>W &#xd7; lnFIE</italic>
</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
<td align="char" char=".">&#x2014;</td>
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<italic>W &#xd7; lnFME</italic>
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<td align="char" char=".">(0.498)</td>
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<italic>W &#xd7; lnFOREST</italic>
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<table-wrap-foot>
<fn>
<p>Note: <italic>p</italic>-value, &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; show significance at 1, 5, and 10% level respectively. Source: Authors&#x2019; estimations.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The estimation results are not the same for financial development components. While the coefficient of the logarithm of the financial institution depth is significantly negative, the results are not significant for other components. The negative and significant coefficient of the variable indicates that each percentage increase in financial institution depth development leads to a decrease of about 0.003 in the inland forest cover.</p>
<p>The lower part of the tables shows the weighted variables of neighboring countries. According to the results, the coefficient of forest areas in neighboring countries has a significant negative effect on inland forests, leading to increased harvests and imports of inland forests. Such results show the importance of considering spatial interactions in forest area modeling. Also, growth in GDP per capita, trade openness in neighboring countries leads to increased inland forest areas, which could be due to the export of more wood products from neighboring countries to the interior, reducing the harvest from inland forests. Urbanization in neighboring countries also reduces domestic forest cover, as urbanization leads to a reduction in deforestation in neighboring countries and greater dependence on imports from abroad. Financial development and the epidemic uncertainty index in neighboring countries do not significantly affect inland forest areas; however, increasing resource rents in neighboring countries have a significant positive effect on inland forest areas.</p>
</sec>
<sec id="s4">
<title>Conclusion and Policy Implications</title>
<p>The present study examines factors determining forest areas by using data from 15 Asia-Pacific countries over 16&#xa0;years, from 2005 to 2020. The investigation of the financial development and epidemic uncertainty effects are the mai006E contributions of the present study. The diagnostic tests demonstrated a spatial interaction between domestic variables and those of the neighboring countries. Several tests emphasized the presence of spatially-lagged dependent and independent effects in the model. Therefore, the spatial Durbin model was selected to investigate the determinants of forest cover.</p>
<p>The estimation results showed the existence of an environmental Kuznets curve for deforestation (EKCd) in the countries. Accordingly, forests participate in economic growth, leading to increased forest exploitation and deforestation. Above this turning point in economic growth, deforestation continues at a slower rate.</p>
<p>Trade openness can act as a stimulus to intensify the effects of economic growth. In a more open economy, the export of wood products leads to a further reduction of forest areas. However, trade openness in the neighboring countries with adverse effects increases domestic coverage. At a glance, trade openness cannot be considered to be a decisive factor in the expansion of deforestation. Thus, positive and negative dimensions must be considered. However, the natural resource outcomes are clear, and the existence of more natural resource rents in countries has clear and direct impacts, diminishing the consumption of other natural resources, e.g., forests.</p>
<p>Urbanization mainly arises from inequality in development factors, including household income, access to welfare facilities, and infrastructure. Therefore, infrastructure and facilities in rural areas help reduce the increasing trend of urbanization and the associated anomalies. This can be implemented as a policy to address inequalities in countries. The results indicated that the components of such policies in countries lead to further degradation of forest cover, and the implementation of such a policy in the neighboring countries would improve inland forest cover. Therefore, it is required to regionally study the effects of urbanization on forest cover and accordingly adopt environmental policies.</p>
<p>In some countries, financial development encourages investment in environmentally-friendly industries. On the other hand, it leads to the expansion of polluting industries, the application of outdated technology, and the high consumption of environment-degrading fossil fuels. The results showed that the positive and negative dimensions of financial development neutralize each other for most indicators and do not seem to significantly affect forest cover. At the same time, as a critical dimension of financial development, the financial institution depth shows significant adverse effects. The oversight of the financial sector to grant higher loans to projects and industries with socially-responsible for the creation of a green environment, along with Prudent and strong environmental regulations, can provide the conditions to move toward sustainable development.</p>
<p>Epidemics can have positive and negative dimensions in forest areas. The positive dimensions of epidemics become dominant when economic activities reduce; however, negative dimensions and proper forest management during an epidemic cannot be ignored. In an epidemic, governments need to adopt innovative strategies to protect forests, implement environmental monitoring, and control their list of essential activities. For example, border patrols and satellite imagery can quickly trace deforestation (<xref ref-type="bibr" rid="B31">Finer et al., 2018</xref>). Moreover, governments require strategies that strengthen legal timber markets and supply chains to prevent opportunistic actors from gaining access to national and international markets.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data Availability Statement</title>
<p>Data used in this research can be found in the data section of the article as well as in <xref ref-type="table" rid="T1">Table 1</xref>. Further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This research is financially supported by National Natural Science Foundation of China under Grant. No.71961217.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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