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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1617170</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2025.1617170</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>Impact of natural capital loss on poverty in the Yucat&#xe1;n Peninsula, Mexico: a synthetic control analysis</article-title>
<alt-title alt-title-type="left-running-head">Avil&#xe9;s-Polanco et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2025.1617170">10.3389/fenvs.2025.1617170</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Avil&#xe9;s-Polanco</surname>
<given-names>Gerza&#xed;n</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3020206/overview"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Beltr&#xe1;n-Morales</surname>
<given-names>Luis Felipe</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2332954/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<contrib contrib-type="author">
<name>
<surname>Sour</surname>
<given-names>Laura</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3123493/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hern&#xe1;ndez-Trejo</surname>
<given-names>V&#xed;ctor</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3123466/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
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<role content-type="https://credit.niso.org/contributor-roles/software/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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<contrib contrib-type="author">
<name>
<surname>Martinez-Cruz</surname>
<given-names>Adan L.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1601970/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Ortega-Rubio</surname>
<given-names>Alfredo</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/902690/overview"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Centro de Investigaciones Biol&#xf3;gicas del Noroeste S.C. (CIBNOR)</institution>, <addr-line>La Paz</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Facultad de Econom&#xed;a y Negocios</institution>, <institution>Universidad An&#xe1;huac M&#xe9;xico</institution>, <institution>Huixquilucan, Estado de M&#xe9;xico M&#xe9;xico. Divisi&#xf3;n de Ciencias Multidisciplinarias</institution>, <institution>Universidad Aut&#xf3;noma del Estado de Quintana Roo</institution>, <institution>Playa del Carmen</institution>, <addr-line>Quintana Roo</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Departamento de Econom&#xed;a</institution>, <institution>Universidad Aut&#xf3;noma de Baja California Sur</institution>, <addr-line>La Paz</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Forest Economics</institution>, <institution>and Centre for Environmental and Resource Economics (CERE)</institution>, <institution>Swedish University of Agricultural Sciences (SLU)</institution>, <addr-line>Ume&#xe5;</addr-line>, <country>Sweden</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/1537921/overview">Pierre Glynn</ext-link>, Arizona State University, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1420696/overview">Nuria Torrescano</ext-link>, El Colegio de la Frontera Sur, Mexico</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2527681/overview">Alejandro Prera</ext-link>, Washington State University, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2924052/overview">Chrispine Mtocha</ext-link>, The World Bank, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Luis Felipe Beltr&#xe1;n-Morales, <email>lbeltran04@cibnor.mx</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1617170</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Avil&#xe9;s-Polanco, Beltr&#xe1;n-Morales, Sour, Hern&#xe1;ndez-Trejo, Martinez-Cruz and Ortega-Rubio.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Avil&#xe9;s-Polanco, Beltr&#xe1;n-Morales, Sour, Hern&#xe1;ndez-Trejo, Martinez-Cruz and Ortega-Rubio</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 explores the relationship between natural capital, environmental policies, and poverty alleviation, with a focus on the Yucat&#xe1;n Peninsula in Mexico. Utilizing analytical techniques such as the Synthetic Control Method, the research assesses the causal impact of natural capital loss&#x2014;estimated at 14.29% between 2018 and 2022&#x2014;on multidimensional poverty levels. Findings indicate that the decline in natural resources has contributed to a roughly 2% increase in poverty, preventing approximately 232,150 individuals from escaping impoverishment. The construction of infrastructure projects like the Mayan Train has significantly contributed to natural resource depletion. Despite ongoing social policies&#x2014;including social programs and infrastructure investments&#x2014;these efforts have been partially offset by ecological degradation, underscoring the importance of integrating ecological considerations into development strategies. The study emphasizes that conserving natural capital is vital for sustainable development and social wellbeing, advocating for policies that balance economic growth with ecological preservation. Incorporating ecological metrics, such as the natural capital index, into poverty assessments can enhance policy effectiveness. Overall, the findings underscore that environmental conservation is essential for effective poverty reduction, urging policymakers to adopt integrated approaches that prioritize ecological health alongside social and economic objectives for sustainable development.</p>
</abstract>
<kwd-group>
<kwd>multidimensional poverty</kwd>
<kwd>natural capital</kwd>
<kwd>synthetic control</kwd>
<kwd>Yucatan Peninsula</kwd>
<kwd>Mayan train</kwd>
</kwd-group>
<contract-sponsor id="cn001">Centro de Investigaciones Biol&#xf3;gicas Del Noroeste<named-content content-type="fundref-id">10.13039/501100010559</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Environmental Economics and Management</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The eradication of poverty in all its forms is the first of the United Nations&#x2019; Sustainable Development Goals for 2030. Between 2018 and 2022, Mexico achieved a 5.6 percentage point reduction in poverty, which translates to 5,614,150 individuals gaining access to the necessary resources to meet their food and non-food needs, thereby avoiding social deprivation. This achievement is undoubtedly of utmost importance. To date, the central agencies responsible for measuring poverty have adopted a multidimensional approach, based on the pioneering work of <xref ref-type="bibr" rid="B46">Sen (1985)</xref>, in which social deprivation variables play a significant role. Specifically in the case of Mexico, the National Council for the Evaluation of Social Development Policy (CONEVAL), responsible for measuring poverty, implemented this multidimensional approach in 2009. It defines the population living in poverty as those who lack the income necessary to satisfy their food and non-food needs and who experience at least one of the six social deprivations: 1) educational backwardness; 2) lack of health services; 3) lack of social security; 4) lack of quality and space in housing; 5) lack of basic housing services; and 6) lack of food (Hern&#xe1;ndez-Licona et al., 2014). According to this criterion, 36.3% of the Mexican population currently lives in poverty (CONEVAL 2022). However, this organization has not yet incorporated ecological indicators that represent the socio-ecological dimension of human wellbeing.</p>
<p>Recently, the National Commission for the Knowledge and Use of Biodiversity (CONABIO) has used biodiversity as a parameter to assess the condition of ecosystems. To this end, it has developed indicators that serve as proxies for biodiversity. These indicators are divided into the different dimensions that comprise natural capital, which is defined as the set of natural elements that support long-term evolutionary processes and, in turn, enable a flow of benefits derived from nature (<xref ref-type="bibr" rid="B10">CONABIO, 2022</xref>). The Natural Capital Index (NCI) represents the state and evolution of biodiversity in Mexico. The NCI is formulated as Quantity x Quality, where quantity is expressed in terms of the surface area of remaining natural areas, and quality refers to the ecological integrity within the ecosystem (<xref ref-type="bibr" rid="B10">CONABIO, 2022</xref>). The conservation of natural capital is necessary to achieve sustainable livelihoods; its loss entails a reduction in income, which is necessary to meet food and non-food needs, as well as the exercise of social rights.</p>
<p>The objective of this study is to evaluate the impact of the loss of natural capital on poverty. The analysis of the causal effect of natural capital loss on poverty is based on the theory of inclusive wealth, <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, which is considered as the total value of assets comprising manufactured capital, human capital, and natural capital at time <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf3">
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>s</mml:mi>
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<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B14">Dasgupta, 2004</xref>; <xref ref-type="bibr" rid="B5">Arrow et al., 2012</xref>). These capital assets contribute to intergenerational wellbeing, defined as <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msubsup>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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<mml:mo>,</mml:mo>
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<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msup>
<mml:mi>d</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>U</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents the utility flow derived from the consumption of market goods and environmental services provided by nature, <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and a minimum level of consumption corresponding to the poverty line <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B15">Di Gennaro et al., 2025</xref>).</p>
<p>To achieve the proposed objective, we aim to address the following research question: Did the loss of natural capital triggered by the construction of the Mayan train exacerbate poverty levels in the Yucatan Peninsula? The empirical strategy used involved the loss of a large area of remnant natural ecosystems and ecological integrity in the Yucat&#xe1;n Peninsula region between 2018 and 2022, in order to design a quasi-natural experiment to estimate the effect of the loss of natural capital on poverty. For this purpose, the Synthetic Control Method (SCM) was used, developed by <xref ref-type="bibr" rid="B3">Abadie and Gardeazabal (2003)</xref>, <xref ref-type="bibr" rid="B2">Abadie et al. (2010)</xref>, and <xref ref-type="bibr" rid="B1">Abadie (2021)</xref>, which is distinguished by the construction of a synthetic control for the treated unit (Yucat&#xe1;n Peninsula region) that represents the counterfactual poverty outcome in that unit, that is, the poverty outcome that would have been obtained if the loss of natural capital had not occurred. The results of this analysis indicate that poverty in the Yucat&#xe1;n Peninsula could have been two percentage points lower than the level observed in 2022 (44.56%) in the absence of a 14.29% decline in natural capital. This suggests that the loss of natural capital mitigated the impact of the policies implemented to reduce poverty in the region.</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>Recent studies have capitalized on the flexibility of SCM to design empirical strategies based on natural experiments, which allow for estimating response effects in units exposed and unexposed to a phenomenon over periods before and after the exposure, referred to as the treatment. The literature on socio-ecological impact assessment can be classified into two categories: the first includes studies that analyze the impact of public policy programs aimed at mitigating ecological impacts (<xref ref-type="bibr" rid="B4">Alix-Garcia et al., 2013</xref>; <xref ref-type="bibr" rid="B47">Sills et al., 2015</xref>; <xref ref-type="bibr" rid="B31">Jones, 2018</xref>; <xref ref-type="bibr" rid="B43">Rana and Sills, 2018</xref>; <xref ref-type="bibr" rid="B44">Roopsind et al., 2019</xref>; <xref ref-type="bibr" rid="B20">Fick et al., 2021</xref>). The second category includes those that evaluate the impact of governance policies and cash transfers on ecological quality (<xref ref-type="bibr" rid="B41">Ran et al., 2022</xref>; <xref ref-type="bibr" rid="B42">Rana and Miller, 2019</xref>).</p>
<p>Another part of the literature related to impact evaluation that has been managed by the SCM has been dedicated to estimating the causal effect of policies aimed at combating poverty through cash transfer programs and taxes (<xref ref-type="bibr" rid="B38">Osei and Lambon-Quayefio, 2021</xref>; <xref ref-type="bibr" rid="B48">Silva et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Qin et al., 2022</xref>; <xref ref-type="bibr" rid="B53">Yang et al., 2022</xref>; <xref ref-type="bibr" rid="B52">Wen and Sun, 2023</xref>; <xref ref-type="bibr" rid="B49">Silva et al., 2023</xref>; <xref ref-type="bibr" rid="B16">Duan, 2024</xref>), increases in the minimum wage (<xref ref-type="bibr" rid="B7">Campos-V&#xe1;zquez and Esquivel, 2022</xref>), economic growth in the food and tourism services industries (<xref ref-type="bibr" rid="B37">Neri and Soares, 2012</xref>; <xref ref-type="bibr" rid="B8">Cazzuffi et al., 2017</xref>), business subsidies and sustainable development mechanisms (<xref ref-type="bibr" rid="B6">Bundrick and Yuan, 2019</xref>; <xref ref-type="bibr" rid="B36">Mori-Clemet, 2019</xref>; <xref ref-type="bibr" rid="B23">Grover and Rao, 2020</xref>), farmer resettlement and the promotion of agriculture (<xref ref-type="bibr" rid="B51">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B9">Cheng et al., 2021</xref>; <xref ref-type="bibr" rid="B17">Duong et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Peng et al., 2022</xref>), shale gas exploitation (<xref ref-type="bibr" rid="B26">Huang and Etienne, 2021</xref>), as well as photovoltaic infrastructure, terrestrial communication routes, and broadband (<xref ref-type="bibr" rid="B30">Inthakesone and Kim, 2016</xref>; <xref ref-type="bibr" rid="B34">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B21">Galperin et al., 2022</xref>; <xref ref-type="bibr" rid="B54">Zhang et al., 2023</xref>; <xref ref-type="bibr" rid="B25">He et al., 2023</xref>; <xref ref-type="bibr" rid="B50">Tian et al., 2024</xref>; <xref ref-type="bibr" rid="B32">Li et al., 2024</xref>), healthcare for the elderly and vulnerable (<xref ref-type="bibr" rid="B35">Lu et al., 2021</xref>; <xref ref-type="bibr" rid="B33">Li et al., 2023</xref>), economic sanctions (Ghomi 2020), and exposure to natural disasters (<xref ref-type="bibr" rid="B45">Salvucci and Santos, 2020</xref>; <xref ref-type="bibr" rid="B22">Gonz&#xe1;lez et al., 2021</xref>). <xref ref-type="table" rid="T1">Table 1</xref> presents a summary of the studies classified according to the method used, treatments, outcome variables, and impacts.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Causal effect evaluation studies of poverty reduction programs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Method</th>
<th align="center">Treatment variable</th>
<th align="center">Outcome variable</th>
<th align="center">Impact</th>
<th align="center">Author</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center">DiD/SCM</td>
<td rowspan="5" align="left">Combating poverty through cash transfer programs</td>
<td align="left">Deforestation</td>
<td align="center">-</td>
<td align="left">
<xref ref-type="bibr" rid="B4">Alix-Garcia et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B38">Osei and Lasmbon-Quayefio (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Multidimensional poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B40">Qin et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">Relative poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B53">Yang et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">Relative poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B52">Wen and Sun, (2023)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">SCM</td>
<td rowspan="2" align="left">Taxes</td>
<td rowspan="2" align="left">Poverty/extreme poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B48">Silva et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B49">Silva et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">DiD/SCM</td>
<td align="left">Increases in the minimum wage</td>
<td align="left">Poverty/extreme poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B7">Campos-V&#xe1;zquez and Esquivel (2022)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">DiD/SCM</td>
<td rowspan="2" align="left">Combating poverty programs</td>
<td align="left">Ecological quality</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B41">Ran et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="left">Income/poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B16">Duan (2024)</xref>
</td>
</tr>
<tr>
<td rowspan="4" align="center">DiD/SCM</td>
<td align="left">Economic growth in tourism services</td>
<td align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B37">Neri and Soares (2012)</xref>
</td>
</tr>
<tr>
<td align="left">Economic growth in the food industries</td>
<td align="left">Poverty/extreme poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B8">Cazzuffi et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">Farmer resettlement</td>
<td align="left">Extreme poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B51">Wang et al. (2018)</xref>
</td>
</tr>
<tr>
<td align="left">Business subsidies</td>
<td align="left">Income/poverty</td>
<td align="center">N.S.</td>
<td align="left">
<xref ref-type="bibr" rid="B6">Bundrick and Yuan (2019)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">DiD</td>
<td rowspan="2" align="left">Sustainable development mechanisms</td>
<td rowspan="2" align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B36">Mori-Clemet (2019)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B23">Grover and Rao (2020)</xref>
</td>
</tr>
<tr>
<td rowspan="3" align="center">DiD</td>
<td rowspan="3" align="left">Promotion of agriculture</td>
<td rowspan="3" align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B9">Cheng et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B17">Duong et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B39">Peng et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="center">SCM</td>
<td align="left">Shale gas exploitation</td>
<td align="left">Absolute poverty</td>
<td align="left"/>
<td align="left">
<xref ref-type="bibr" rid="B26">Huang and Etienne (2021)</xref>
</td>
</tr>
<tr>
<td rowspan="3" align="center">DiD</td>
<td rowspan="3" align="left">Terrestrial communication routes</td>
<td rowspan="3" align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B30">Inthakesone and Kim (2016)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B54">Zhang et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B50">Tian et al. (2024)</xref>
</td>
</tr>
<tr>
<td rowspan="3" align="center">DiD</td>
<td rowspan="3" align="left">Photovoltaic infrastructure</td>
<td align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B34">Liu et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Multidimensional poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B25">He et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="left">Disposable income/poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B32">Li et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="center">DiD</td>
<td align="left">Broadband infrastructure</td>
<td align="left">Employment and income</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B21">Galperin et al. (2022)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">DiD</td>
<td rowspan="2" align="left">Healthcare for the elderly and vulnerable</td>
<td align="left">Absolute poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B35">Lu et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Multidimensional poverty</td>
<td align="center">&#x2b;</td>
<td align="left">
<xref ref-type="bibr" rid="B33">Li et al. (2023)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">DiD</td>
<td rowspan="2" align="left">Exposure to natural disasters</td>
<td align="left">Multidimensional poverty</td>
<td align="center">-</td>
<td align="left">
<xref ref-type="bibr" rid="B22">Gonz&#xe1;lez et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Absolute poverty</td>
<td align="center">-</td>
<td align="left">
<xref ref-type="bibr" rid="B45">Salvucci and Santos (2020)</xref>
</td>
</tr>
<tr>
<td align="center">SCM</td>
<td align="left">Economic sanctions</td>
<td align="left">Absolute poverty</td>
<td align="center">-</td>
<td align="left">Ghomi (2020)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Four studies stand out in the literature that evaluate the causal effects of poverty and the environment, two of which analyze the impact of poverty reduction policies on deforestation and ecological quality. The first study to address this causal relationship was conducted by <xref ref-type="bibr" rid="B4">Alix-Garcia et al. (2013)</xref>, who employed the Difference-in-Differences (DiD) method to assess the impact of cash transfers on deforestation in Mexico. The authors employed a localized rural marginalization index and 30-m satellite images from 2000 to 2003. They found that the additional income derived from cash transfers increased the consumption of land-intensive goods, such as meat and milk, which, in turn, led to increased deforestation in neighboring areas. A second study, adopting a similar approach, was conducted by <xref ref-type="bibr" rid="B41">Ran et al. (2022)</xref>, who used the DiD method to evaluate the causal effect of cash transfers on ecological quality, measured through vegetation cover in the Qinghai-Tibet province, China, between 2001 and 2019. The authors concluded that the localities benefiting from the cash transfer program successfully reduced their poverty levels and improved the ecological quality of their environment.</p>
<p>Two additional studies examined the causal effects of exogenous shocks, in the form of natural disasters, on poverty. The first was conducted by <xref ref-type="bibr" rid="B45">Salvucci and Santos (2020)</xref>, who used the difference-in-differences (DiD) method to assess the impact of the 2015 floods in Mozambique on consumption and poverty levels. The authors reported that provinces adjacent to flood-affected areas experienced a 6% increase in poverty rates. Subsequently, <xref ref-type="bibr" rid="B22">Gonz&#xe1;lez et al. (2021)</xref> employed the DiD approach to examine the impact of exposure to natural disasters that occurred between 1970 and 1992 on multidimensional poverty and extreme poverty in 350 districts in Argentina. The authors found that individuals who were exposed to natural disasters during their first year of life were 5% more likely to reside in a household classified as multidimensionally poor by 2010.</p>
<p>Although studies have measured the impact of increased physical capital, in the form of infrastructure, on poverty through quasi-natural experiments (<xref ref-type="bibr" rid="B30">Inthakesone and Kim, 2016</xref>; <xref ref-type="bibr" rid="B54">Zhang et al., 2023</xref>; <xref ref-type="bibr" rid="B50">Tian et al., 2024</xref>), the trade-off effects between increased physical capital and natural capital on poverty remain unknown. This paper aims to provide empirical evidence on the causal effects of the loss of natural capital resulting from the construction of the Mayan Train infrastructure on poverty in the Yucatan Peninsula region.</p>
<p>According to the literature analyzed, the synthetic control method stands out for enabling the design of quasi-experiments where the number of treated units is limited and the treatment variable is aggregate (<xref ref-type="bibr" rid="B27">Huang et al., 2025</xref>). It also avoids endogeneity problems common in conventional econometric approaches (<xref ref-type="bibr" rid="B18">Eliason and Lutz, 2018</xref>).</p>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>3 Materials and methods</title>
<p>We examine the impact of the loss of natural capital in the Yucat&#xe1;n Peninsula region. To do this, it was necessary to calculate the value of the NCI for the year 2018, as the data available on the CONABIO Geoportal only covers the years 1985, 1993, 2002, 2007, 2011, 2014, and 2021. The calculation was carried out through an interpolation process, which consisted of obtaining the average between the values for the years 2014 and 2021. This calculation was performed after verifying that the functional form of the univariate within-sample estimates fit a linear model, as shown in <xref ref-type="sec" rid="s13">Supplementary Appendix Figure S1</xref>. This method enabled comparisons to be made between the NCI and the poverty percentage for the years 2008, 2010, 2014, 2018, and 2022, disaggregated by federal entity, and obtained from CONEVAL. In this context, the states of Quintana Roo, Campeche, and Yucat&#xe1;n, which make up the Yucat&#xe1;n Peninsula region, recorded the most significant loss of natural capital between 2018 and 2021, as illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>, in which the NCI values are presented in descending order for 2018, serving as a reference for the change that occurred in 2021. <xref ref-type="table" rid="T2">Table 2</xref> provides a description of the variables utilized in this study.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Natural Capital Index 2018 vs 2021.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g001.tif">
<alt-text content-type="machine-generated">Line graph showing the Natural Capital Index for various Mexican states in 2018 and 2021. The horizontal axis lists states from Baja California Sur to Tlaxcala, while the vertical axis represents the index, ranging from 0 to 0.9. The 2018 data is represented by a black line, and the 2021 data is shown with gray dots. The index generally decreases from left to right. Red dots highlight specific data points for Quintana Roo, Oaxaca, and Quer&#xE9;taro.</alt-text>
</graphic>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Description of variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Variable</th>
<th align="center">Description</th>
<th align="center">Measuring unit</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Poverty</td>
<td align="left">The population living in poverty as those who lack the income necessary to satisfy their food and non-food needs and who experience at least one of the six social deprivations: 1) educational backwardness; 2) lack of health services; 3) lack of social security; 4) lack of quality and space in housing; 5) lack of basic housing services; and 6) lack of food, for years 2008, 2010, 2014, 2014, 2018 and 2022</td>
<td align="center">Percentage</td>
</tr>
<tr>
<td align="left">Poverty</td>
<td align="left">The population living in poverty as those who lack the income necessary to satisfy their food and non-food needs and who experience at least one of the six social deprivations: 1) educational backwardness; 2) lack of health services; 3) lack of social security; 4) lack of quality and space in housing; 5) lack of basic housing services; and 6) lack of food, for years 2008, 2010, 2014, 2014, 2018 and 2022</td>
<td align="center">Percentage</td>
</tr>
<tr>
<td align="left">NCI</td>
<td align="left">Natural Capital Index &#x3d; quantity of remaining natural areas quality &#x2b; ecology of remaining natural areas, with values between zero and one. Periods 2007, 2011, 2014, 2014, 2018 and 2022</td>
<td align="center">Index</td>
</tr>
<tr>
<td align="left">GDPPC</td>
<td align="left">Gross Domestic Product per capita for the years 2008, 2010, 2014, 2018, and 2022, at constant 2013 prices.</td>
<td align="center">Pesos (MXN)</td>
</tr>
<tr>
<td align="left">Pob65</td>
<td align="left">Percentage of the population over 65 years of age, period 2008-2022.</td>
<td align="center">Percentage</td>
</tr>
<tr>
<td align="left">Natural</td>
<td align="left">Percentage of remaining natural areas, period 2008-2022.</td>
<td align="center">Percentage</td>
</tr>
<tr>
<td align="left">Area_nat</td>
<td align="left">Extension of remaining natural areas, period 2008-2022.</td>
<td align="center">Hectares</td>
</tr>
<tr>
<td align="left">Population</td>
<td align="left">Population period 2008-2022.</td>
<td align="center">Total, habitantes</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>We defined the Yucat&#xe1;n Peninsula region, comprised of the states of Quintana Roo, Campeche, and Yucat&#xe1;n, as a treatment unit, while the remaining states were considered a donor pool. An analysis of the presence of spatial clusters in the natural capital loss rate (NCI) was conducted between 2018 and 2021 using the Local Indicator Spatial Association Analysis (LISA) method. This approach validated the aggregation of the natural capital index variable at the regional level of the Yucat&#xe1;n Peninsula, as well as the outcome variable linked to poverty and its predictors. The LISA statistic was calculated using GeoDa 1.22 software, employing a first-order queen-type spatial weight matrix, which verified the absence of spatial association in natural capital loss between the Yucat&#xe1;n Peninsula treatment unit and the other states considered a donor pool. The interpretation of the LISA statistic for the rate of natural capital loss is categorized into four groups: 1) High value in the local natural capital loss rate with high contiguous values (High-High); 2) Low value in the local natural capital loss rate with low contiguous values (Low-Low); 3) Low value in the local natural capital loss rate with high contiguous values (Low-High); 4) High value in the local natural capital loss rate with low contiguous values (High-Low). The LISA analysis revealed a spatial cluster of high values in natural capital loss between 2018 and 2021 for the states that comprise the Yucat&#xe1;n Peninsula region, which was statistically significant (p-value &#x3c;0.05) with a z-score of 1.94, obtained from 999 permutations. <xref ref-type="fig" rid="F2">Figure 2</xref> illustrates the clustered spatial distribution of high values of the natural capital loss rate in the treatment unit of the Yucat&#xe1;n Peninsula, as well as a clustered distribution of low local values of the natural capital loss rate for the states of Northeastern Mexico.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Cluster of Natural Capital loss in Mexico 2008-2021.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g002.tif">
<alt-text content-type="machine-generated">Map of Mexico showing clusters of regions with statistical significance. High-High clusters are in red, Low-Low clusters in blue, Low-High clusters in pink, High-Low in none, and non-significant areas in gray. Notable regions include Baja California Sur, Coahuila, and the Yucat&#xE1;n Peninsula.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> illustrates the trend in average poverty in the Yucat&#xe1;n Peninsula region compared to the rest of the states, highlighting a discrepancy in the average poverty rate between the two groups. A parallel trend is observed between 2008 and 2010, followed by a divergence from 2010 to 2022. This suggests that the average poverty rate for the other states is not an adequate benchmark for assessing the impact of natural capital loss on poverty.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Poverty in the Yucatan Peninsula vs Poverty in Other States.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g003.tif">
<alt-text content-type="machine-generated">Line graph showing average poverty percentage from 2008 to 2022. The Yucatan Peninsula (black line) decreases from above 50% to around 45%. Other states (gray line) drop from below 50% to about 35%. A red vertical line marks 2018.</alt-text>
</graphic>
</fig>
<p>Trends began to diverge starting in 2010, showing a steady decline in the Yucat&#xe1;n Peninsula region until 2018. Subsequently, a significant decline in the poverty rate was observed between 2018 and 2022. In contrast, the average poverty rate in the rest of the states showed a continuous decline from 2010 to 2022, with a sharper drop between 2018 and 2022. The rate of poverty reduction in the latter period appears to have been higher in the rest of the states compared to the Yucat&#xe1;n Peninsula region, widening the poverty gap between the two groups from 8.94% in 2018 to 11.45% in 2022.</p>
<p>According to <xref ref-type="bibr" rid="B19">Esquivel (2024)</xref>, the factors that explain the reduction in poverty during the period 2018-2022 are the following: 1) the increase in the minimum wage implemented in January 2019, which had a real effect of 65%; 2) the increase in economic resources for public policy to combat poverty starting in 2019, through unconditional cash transfer programs in the form of a non-contributory universal pension for adults over 65, as well as programs aimed at combating rural poverty (Sembrando Vida), programs conditional on participation in education (Benito Ju&#xe1;rez Wellbeing Scholarship for basic education), and programs conditional on incorporation into formal employment (J&#xf3;venes Construyendo el Futuro, the &#x201c;B&#xe9;cate&#x201d; Employment Support Program, and a childcare program to support working mothers), in addition to serving populations in vulnerable conditions due to catastrophic losses (life insurance for female heads of households, orphaned children, and/or policyholders); 3) local infrastructure projects, such as the construction of the Maya Train, the Dos Bocas Refinery, and the Interoceanic Train. Since the construction of the Maya Train connected the state of Chiapas to the Yucat&#xe1;n Peninsula region, an empirical strategy was considered to include the state of Chiapas in the treatment group, considering the potential spillover effects of poverty resulting from its proximity and increased connectivity in the region. <xref ref-type="fig" rid="F4">Figure 4</xref> presents the percentage of the population benefiting from social programs implemented since 2019, highlighting that three of the four states that make up the treatment unit had percentages of beneficiaries higher than the national average of 12.81%: Chiapas (20.21%), Campeche (16.53%), and Yucat&#xe1;n (14.74%). In contrast, in Quintana Roo, only 8.62% of its population received support through a social program. This discrepancy is due to Quintana Roo&#x2019;s registered poverty rate of 27.57%, which is considerably lower than the national average of 39.94% of the population living in poverty (<xref ref-type="bibr" rid="B12">CONEVAL, 2019</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Percentage of the population benefiting from social programs by State, 2019.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g004.tif">
<alt-text content-type="machine-generated">Bar graph showing the percentage of the population that received monetary transfers across Mexican states. Guerrero has the highest percentage, followed by Chiapas and Tabasco. The national average is marked in black. States like Baja California and Nuevo Le&#xF3;n have lower percentages.</alt-text>
</graphic>
</fig>
<p>From <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>, it can be inferred that, in the context of the poverty reduction policy implemented starting in 2019, average poverty in the Yucatan Peninsula region decreased by 3.20 percentage points between 2018 and 2022, while in the rest of the states, the reduction was 5.71 percentage points, as illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>. The above suggests that the accelerated loss of natural capital had compensatory effects by counteracting or limiting the impact of social program policies aimed at combating poverty in the Yucatan Peninsula region.</p>
<sec id="s3-1">
<title>3.1 Data</title>
<p>We used the following statistical information to assess the causal effect of natural capital loss on poverty in Mexico: 1) Percentage of the population living in poverty (Poverty); 2) Total population (Population); 3) Percentage of the population aged 65 or older (Pob65); 4) Gross Domestic Product <italic>per capita</italic> (GDPPC); 5) Natural Capital Index (NCI); 6) Percentage of Natural Protected Areas (Area_nat); 7) Natural Protected Areas in hectares (Natural). Poverty information in Mexico for the period 2008-2022 was obtained from CONEVAL. The total population and percentage of the population aged 65 years and above were obtained from the National Population Council (CONAPO). The Gross Domestic Product <italic>per capita</italic> was obtained from the National Institute of Statistics and Geography (INEGI). The percentage of protected natural areas (Pan) and the extension of these natural areas, in hectares, were obtained from CONABIO.</p>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> presents the descriptive statistics of the poverty variable and its predictors for the Yucat&#xe1;n Peninsula region and the rest of the states between 2008 and 2022.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Variable</th>
<th colspan="2" align="center">2008</th>
<th colspan="2" align="center">2010</th>
<th colspan="2" align="center">2014</th>
<th colspan="2" align="center">2018</th>
<th colspan="2" align="center">2022</th>
</tr>
<tr>
<th align="center">Yucat&#xe1;n</th>
<th align="center">Others states</th>
<th align="center">Yucat&#xe1;n</th>
<th align="center">Others states</th>
<th align="center">Yucat&#xe1;n</th>
<th align="center">Others states</th>
<th align="center">Yucat&#xe1;n</th>
<th align="center">Others states</th>
<th align="center">Yucat&#xe1;n</th>
<th align="center">Others states</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Poverty</td>
<td align="center">50.90</td>
<td align="center">42.47</td>
<td align="center">52.98</td>
<td align="center">44.98</td>
<td align="center">50.39</td>
<td align="center">43.85</td>
<td align="center">47.76</td>
<td align="center">38.82</td>
<td align="center">44.56</td>
<td align="center">33.11</td>
</tr>
<tr>
<td align="left">Pob65</td>
<td align="center">4.86</td>
<td align="center">5.96</td>
<td align="center">5.07</td>
<td align="center">6.17</td>
<td align="center">5.54</td>
<td align="center">6.68</td>
<td align="center">6.01</td>
<td align="center">7.33</td>
<td align="center">6.33</td>
<td align="center">7.77</td>
</tr>
<tr>
<td align="left">NCI</td>
<td align="center">0.53</td>
<td align="center">0.35</td>
<td align="center">0.52</td>
<td align="center">0.35</td>
<td align="center">0.48</td>
<td align="center">0.35</td>
<td align="center">0.42</td>
<td align="center">0.34</td>
<td align="center">0.36</td>
<td align="center">0.33</td>
</tr>
<tr>
<td align="left">Natural</td>
<td align="center">72.61</td>
<td align="center">57.68</td>
<td align="center">71.96</td>
<td align="center">57.32</td>
<td align="center">68.58</td>
<td align="center">57.53</td>
<td align="center">63.95</td>
<td align="center">56.39</td>
<td align="center">59.33</td>
<td align="center">55.26</td>
</tr>
<tr>
<td align="left">GDPPC</td>
<td align="center">345,148</td>
<td align="center">125,319</td>
<td align="center">305,191</td>
<td align="center">124,533</td>
<td align="center">270,173</td>
<td align="center">131,349</td>
<td align="center">223,114</td>
<td align="center">139,217</td>
<td align="center">194,769</td>
<td align="center">130,199</td>
</tr>
<tr>
<td align="left">Population</td>
<td align="center">2185170</td>
<td align="center">3,663076</td>
<td align="center">2,225044</td>
<td align="center">3,694156</td>
<td align="center">2,429144</td>
<td align="center">3,921935</td>
<td align="center">2,641271</td>
<td align="center">4,122322</td>
<td align="center">2,763688</td>
<td align="center">4,212041</td>
</tr>
<tr>
<td align="left">Area_nat</td>
<td align="center">3,769197</td>
<td align="center">4,423177</td>
<td align="center">3,734128</td>
<td align="center">4,395908</td>
<td align="center">3,559845</td>
<td align="center">4,395737</td>
<td align="center">3,335472</td>
<td align="center">4,336667</td>
<td align="center">3,111099</td>
<td align="center">4,277596</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> shows that the percentage of the population living in poverty in the Yucat&#xe1;n Peninsula region decreased by 3.2 percentage points between 2018 and 2022, while natural capital decreased by 14.29% during the same period.</p>
</sec>
<sec id="s3-2">
<title>3.2 Research methodology</title>
<p>The SCM proposed by <xref ref-type="bibr" rid="B3">Abadie and Gardeazabal (2003)</xref>, <xref ref-type="bibr" rid="B2">Abadie et al. (2010)</xref>, and <xref ref-type="bibr" rid="B1">Abadie (2021)</xref>, is used since this method allows for estimating the effects of aggregated interventions at the state and/or regional level. The general framework for causal inference is based on a population of <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> aggregated units, where <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:mi>N</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> Considering a dichotomous treatment, two possible outcomes are assumed: <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> if unit i belongs to the control group and <inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> if unit <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is exposed to the treatment. In this way, the causal effect can be expressed as the difference between <inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. The SCM is distinguished by comparing a treated unit from a moment in time with a synthetic version, called the synthetic control, which is generated by combining untreated units, known as the donor pool. This synthetic version is assumed to more accurately reproduce the characteristics of the treated unit compared to any other unit in the donor pool. Following <xref ref-type="bibr" rid="B28">Imbens (2024)</xref>, if unit <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is treated in period <inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, its counterfactual outcome <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> can be estimated as (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>):<disp-formula id="e1">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>Y</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> represents non-negative weights that sum to one and are selected to minimize the discrepancy between the synthetic control and the pre-treatment outcomes for the treated unit (<xref ref-type="disp-formula" rid="e2">Equation 2</xref>):<disp-formula id="e2">
<mml:math id="m19">
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>arg</mml:mi>
<mml:munder>
<mml:mi>min</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mo>:</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mi>w</mml:mi>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munder>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Thus, the synthetic control obtained after applying the treatment reflects what would have happened to the treated unit in the absence of that treatment. While the estimated treatment effect for the treated unit post-treatment can be estimated as (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>):<disp-formula id="e3">
<mml:math id="m20">
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the observed outcome for the treated unit post-treatment and <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mstyle>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<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> counterfactual outcome in the form of a synthetic control. The methodological approach proposed by <xref ref-type="bibr" rid="B26">Huang and Etienne (2021)</xref> is adopted to construct the outcome variable poverty, aggregated at the regional level, linked to the loss of natural capital in the Yucat&#xe1;n Peninsula region, which is composed of the states of Yucat&#xe1;n, Campeche, Quintana Roo, and Chiapas. The SCM used to estimate the causal effect requires considering that there are <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:mi>J</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> regions in total, where the first region, <inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, has experienced a significant loss of natural capital, while the remaining regions (states) have not, <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mi>J</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. The study period is denoted as <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
<mml:mo>&#x2026;</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>G</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the year in which the loss of natural capital occurred, or treatment, which corresponds to the year 208. Thus, <inline-formula id="inf25">
<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:mrow>
</mml:math>
</inline-formula> is defined as the current or observed outcome of the poverty percentage in region <inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> during period <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. Thus, <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msubsup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> reflects the poverty outcome for region <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in period <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in the absence of a loss of natural capital. The synthetic region of the Yucatan Peninsula was constructed from <inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> which represents a <inline-formula id="inf32">
<mml:math id="m35">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>J</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> vector of the weighted average of the available control states that minimize the distance between the vector <inline-formula id="inf33">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf34">
<mml:math id="m37">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> of characteristics (NCI, GDP <italic>per capita</italic>, pob65, Natural, Area_nat and Population) prior to the loss of natural capital due to the construction of the Mayan train in the Yucatan Peninsula region and the vector <inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf36">
<mml:math id="m39">
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>J</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> of the same characteristics in the donor pool. The optimal weight vector <inline-formula id="inf37">
<mml:math id="m40">
<mml:mrow>
<mml:msup>
<mml:mi>W</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is selected by minimizing the discrepancy between the observed outcome <inline-formula id="inf38">
<mml:math id="m41">
<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> and the synthetic outcome of the period (2008-2014) prior to the natural capital loss <inline-formula id="inf39">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf40">
<mml:math id="m43">
<mml:mrow>
<mml:mfenced open="&#x2016;" close="&#x2016;" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
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</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> presents the average values of the response variable, poverty, and its predictors in the treated unit, corresponding to the Yucatan Peninsula region, compared to the weighted average of the states selected from the donor pool.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Average of predictors 2008-2014.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Variables</th>
<th colspan="2" align="center">Yucatan peninsula region</th>
<th rowspan="2" align="center">Average of 28 control states</th>
</tr>
<tr>
<th align="center">Real</th>
<th align="center">Synthetic</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">NCI</td>
<td align="right">0.46</td>
<td align="right">0.48</td>
<td align="right">0.35</td>
</tr>
<tr>
<td align="left">Natural</td>
<td align="right">67.29</td>
<td align="right">67.00</td>
<td align="right">56.83</td>
</tr>
<tr>
<td align="left">Pob65</td>
<td align="right">5.56</td>
<td align="right">6.33</td>
<td align="right">6.78</td>
</tr>
<tr>
<td align="left">GDPPC</td>
<td align="right">267,679.00</td>
<td align="right">135,002.40</td>
<td align="right">130,123.20</td>
</tr>
<tr>
<td align="left">Population</td>
<td align="right">2,448863.00</td>
<td align="right">2,549564.00</td>
<td align="right">3,922706.00</td>
</tr>
<tr>
<td align="left">Area_nat</td>
<td align="right">3,501948.00</td>
<td align="right">5,005237.00</td>
<td align="right">4,365817.00</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In light of the results obtained from the weighted averages of the predictor variables of the poverty outcome variable, a discrepancy is observed between the variables GDP <italic>per capita</italic> and Areanat_ha, which could violate the Convex Hull Condition requirement. The main reason for this discrepancy is that the state of Campeche, part of the Yucat&#xe1;n Peninsula region, registered a 38% reduction in GDP <italic>per capita</italic> during the pre-intervention period, primarily due to a significant decline in oil production. Regarding the discrepancy between the treated unit and the synthetic control in the predictor Areanat_ha, it is possible that the origin of these discrepancies is the scale effect of hectares between the donor pool and the states that make up the Yucat&#xe1;n Peninsula region. However, excluding these predictors results in a higher Root Mean Squared Prediction Error (MSPE) than the one obtained when they are included (<xref ref-type="sec" rid="s13">Supplementary Table S1</xref>; <xref ref-type="fig" rid="F2">Figure 2</xref>). However, the MSPE obtained including all predictors was 0.0024, indicating that the predictors performed satisfactorily overall. <xref ref-type="table" rid="T5">Table 5</xref> presents the weights for each control state in the synthetic Yucat&#xe1;n Peninsula region.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Donor pool weights.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Estate</th>
<th align="center">Weight</th>
<th align="left">Estate</th>
<th align="center">Weight</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Aguascalientes</td>
<td align="center">0</td>
<td align="left">Morelos</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Baja California</td>
<td align="center">0</td>
<td align="left">Nayarit</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Baja California Sur</td>
<td align="center">0.24</td>
<td align="left">Nuevo Le&#xf3;n</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Coahuila</td>
<td align="center">0.10</td>
<td align="left">Oaxaca</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Colima</td>
<td align="center">0</td>
<td align="left">Puebla</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Chihuahua</td>
<td align="center">0</td>
<td align="left">Quer&#xe9;taro</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Ciudad de M&#xe9;xico</td>
<td align="center">0</td>
<td align="left">San Luis Potos&#xed;</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Durango</td>
<td align="center">0</td>
<td align="left">Sinaloa</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Guanajuato</td>
<td align="center">0</td>
<td align="left">Sonora</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Guerrero</td>
<td align="center">0.46</td>
<td align="left">Tabasco</td>
<td align="center">0.21</td>
</tr>
<tr>
<td align="left">Hidalgo</td>
<td align="center">0</td>
<td align="left">Tamaulipas</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Jalisco</td>
<td align="center">0</td>
<td align="left">Tlaxcala</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">M&#xe9;xico</td>
<td align="center">0</td>
<td align="left">Veracruz</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Michoac&#xe1;n</td>
<td align="center">0</td>
<td align="left">Zacatecas</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The weights obtained reveal that the poverty trend prior to the intensification of natural capital loss in the Yucat&#xe1;n Peninsula region is explained by the combination of the states of Guerrero, Baja California Sur, Tabasco, and Coahuila. <xref ref-type="fig" rid="F5">Figure 5</xref> shows the evolution of poverty in the Yucat&#xe1;n Peninsula region and its synthetic counterpart for the period 2008-2022.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Percentage of the population living in poverty: Yucat&#xe1;n Peninsula region vs synthetic Yucat&#xe1;n Peninsula region.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g005.tif">
<alt-text content-type="machine-generated">Line graph showing poverty percentage from 2005 to 2022 in the Yucatan Peninsula. Solid line represents actual data, decreasing from over 55 percent to about 45 percent. Dashed line represents synthetic data, following a similar downward trend.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> highlights the proximity between the poverty trajectories of the Yucat&#xe1;n Peninsula region and the synthetic Yucat&#xe1;n Peninsula region, prior to the 14.29% loss of natural capital between 2018 and 2022. The disparity between the two trajectories, together with the low value of the MSPE and the balance of the predictors, suggests that the poverty of the synthetic Yucat&#xe1;n Peninsula represents an adequate approximation of the poverty levels that could have been achieved if natural capital had been preserved. The estimated effect of the loss of natural capital on the percentage of the population living in poverty is manifested as the difference between the poverty observed in the Yucat&#xe1;n Peninsula region and its synthetic counterpart after 2018, when the loss of natural capital intensified. The gap between the two trajectories reveals a negative effect of the loss of natural capital, amounting to 2.08% on poverty reduction; that is, instead of decreasing to 44.56%, it would have decreased to 42.08%. In <xref ref-type="fig" rid="F6">Figure 6</xref>, we observe that the impact exceeded 2% by 2022.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Poverty gap between the Yucatan Peninsula and the synthetic Yucatan Peninsula.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g006.tif">
<alt-text content-type="machine-generated">Line graph showing the effect of treatment from 2005 to 2020, depicting a constant trend near zero until 2016, a dip below zero, and a steep rise above two by 2020. A dashed vertical line marks 2018.</alt-text>
</graphic>
</fig>
<p>The gap between the Yucat&#xe1;n Peninsula region and its synthetic counterpart remained close to zero between 2008 and 2014. However, it declined significantly by 2018, indicating a decline in Natural Capital. Considering the impact, based on the population estimated by CONAPO for 2022 and the magnitude of the effect, it is concluded that 232,150 people failed to escape poverty.</p>
<sec id="s4-1">
<title>4.1 Validation</title>
<p>To assess the robustness of the results, the contextual requirements under which the SCM is considered adequate are verified, taking into account <xref ref-type="bibr" rid="B1">Abadie&#x2019;s (2021)</xref> recommendations regarding the absence of interference and non-anticipation. Interference could compromise the validity of the results, given that the effects of spatial spillovers from the loss of natural capital on poverty in neighboring States could be significant, especially in cases where the decrease in remaining natural areas impacts the provision of environmental goods and services on which those States depend. To evaluate the presence of spatial spillovers that could affect poverty levels in the control group, a Local Indicators of Spatial Association (LISA) analysis was conducted for the year 2018. This analysis enabled us to verify the absence of statistically significant local spatial clusters of the poverty variable between the Yucatan Peninsula region and its adjacent States (results available in <xref ref-type="sec" rid="s13">Supplementary Figure S3</xref>). Regarding the possible anticipation effect, the model was estimated by adjusting the treatment for the year 2014, identifying an estimated gap between poverty in the Yucatan Peninsula region and its synthetic counterpart close to zero for that year (results also presented in <xref ref-type="sec" rid="s13">Supplementary Figure S4</xref>).</p>
</sec>
<sec id="s4-2">
<title>4.2 Inference</title>
<p>To verify whether the estimated effect is spurious, a placebo test was conducted by applying the SCM to states that did not experience significant losses in their natural capital between 2018 and 2022. <xref ref-type="fig" rid="F7">Figure 7</xref> illustrates the poverty disparity in the Yucatan Peninsula region, as well as the placebo gaps for 28 states.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Poverty gap in the Yucatan Peninsula region and placebo gaps in the rest of the States.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g007.tif">
<alt-text content-type="machine-generated">Line graph showing gap poverty prediction error from 2008 to 2022. Multiple lines represent various models or predictions, with errors ranging from negative ten to ten. The thick black line indicates an overall trend hovering around zero before rising after 2018.</alt-text>
</graphic>
</fig>
<p>As shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, the SCM used to predict poverty in the Yucat&#xe1;n Peninsula region exhibited a gap of nearly zero, with an MSPE of 0.0024 until 2018. This gap subsequently increased, reaching 2.08%. The placebo models exhibited considerable variability in the poverty prediction error gaps for the years 2010, 2018, and 2022. Furthermore, the poverty prediction error gap in the Yucat&#xe1;n Peninsula region was evaluated in comparison to the gaps estimated in the placebo models using the distribution of MSPE ratios before and after the increase in natural capital loss in the Yucat&#xe1;n Peninsula region and control states. See <xref ref-type="fig" rid="F8">Figure 8</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Distribution of ECMP ratios post/pre loss of Natural Capital.</p>
</caption>
<graphic xlink:href="fenvs-13-1617170-g008.tif">
<alt-text content-type="machine-generated">Bar chart illustrating the distribution of post/pre RMSPE ratios. The majority of data points are clustered near zero, with one notable outlier labeled &#x22;Yucat&#xE1;n Peninsula&#x22; at the far right. Frequency is on the vertical axis, and post/pre RMSPE ratio is on the horizontal axis.</alt-text>
</graphic>
</fig>
<p>The ratio for the Yucat&#xe1;n Peninsula region stands out significantly, as the MSPE after the natural capital loss was 976 times the MSPE. We then assessed statistical significance by estimating the probability that, upon random assignment of the intervention, a post/pre ratio as high as that for the Peninsula region would result <inline-formula id="inf56">
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</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>This paper contributes to the limited literature on the effects of natural capital loss on multidimensional poverty. This is the first study to utilize the loss of remaining natural areas and ecological integrity to design a natural experiment. It uses the loss of natural capital that has occurred in the Yucatan Peninsula region since 2018 as an empirical strategy to define the treatment unit. The remaining states, which have not suffered significant losses in their natural capital, are considered a control group. In this study, the variable of interest, or outcome, is multidimensional poverty, which is comparable in terms of poverty measurement to the studies conducted by <xref ref-type="bibr" rid="B22">Gonz&#xe1;lez et al. (2021)</xref>, <xref ref-type="bibr" rid="B25">He et al. (2023)</xref>, and <xref ref-type="bibr" rid="B33">Li et al. (2023)</xref>. Although the outcome variable in these studies is multidimensional poverty, the findings of this paper are consistent with those reported by <xref ref-type="bibr" rid="B22">Gonz&#xe1;lez et al. (2021)</xref>, who observed that experiencing natural disasters between 1970 and 1992 increased the probability of living in a household with multidimensional poverty by 2010. In this sense, the results confirm that an exogenous environmental shock, manifested in the form of a natural disaster, has causal effects on the probability of experiencing multidimensional poverty in both the short and long term. In this study, the exogenous shock was caused by the loss of remaining natural areas and ecological integrity inherent to the Maya Train infrastructure.</p>
<p>The results of this study are consistent with the findings of <xref ref-type="bibr" rid="B45">Salvucci and Santos (2020)</xref>, who noted that temporary exogenous shocks to the natural environment, caused by flooding in rural regions, negatively impact consumption and exacerbate poverty. However, unlike these temporary effects, the results obtained in our research are the result of permanent ecological disturbances, given that the loss of forest cover and ecological integrity due to the construction of the Mayan Train is irreversible. Other studies have examined the impact of cash transfer programs on deforestation and ecological quality (<xref ref-type="bibr" rid="B4">Alix-Garcia et al., 2013</xref>; <xref ref-type="bibr" rid="B41">Ran et al., 2022</xref>) with contradictory results. <xref ref-type="bibr" rid="B4">Alix-Garcia et al. (2013)</xref> found that cash transfers had adverse effects, leading to increased deforestation in the environment. In contrast, <xref ref-type="bibr" rid="B41">Ran et al. (2022)</xref> reported positive effects of the cash transfer program on ecological quality. Unlike these studies, this paper considers the loss of Natural Capital, attributed to the construction of the Mayan Train, which began in 2019, to be exogenous.</p>
<p>One of the main challenges in estimating the effects of infrastructure-induced ecological shocks on poverty is the availability of comparable ecological and poverty indicators, considering their compatibility in terms of time, scale, coverage, and representativeness. Despite these limitations, this study utilized data from five cross-sectional surveys obtained from official sources, spanning 24 years. In this sense, the data used are representative at the state level and comparable. However, we recognize that a limitation of this study is the temporal scope of the treatment effect after 2022. Therefore, the effect of the loss of natural capital on poverty is short-term. Further studies with data from 2024 and later are needed to measure and verify the existence of medium- and long-term effects.</p>
<p>Ultimately, we believe that the loss of natural capital has impacted the region&#x2019;s sustainable livelihoods. The reduction in remaining natural areas and ecological integrity also reduced the flow of ecological goods and services (direct and indirect), affecting agricultural productivity and, consequently, income. This could have led to displacement in the region from rural areas to peri-urban or urban areas under vulnerable conditions, due to a lack of access to essential services, including health services, education, social security, housing, basic necessities (such as water and electricity), as well as food and non-food supplies.</p>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>The objective of this paper is to evaluate the impact of natural capital loss on poverty in the Yucatan Peninsula, Mexico, during the period 2018-2022. It aims to analyze how the decline in remaining natural areas and ecological integrity affects the effectiveness of policies aimed at poverty reduction in the region, thereby contributing to the debate on the relationship between natural capital and social wellbeing, within the context of the first United Nations Sustainable Development Goal for 2030.</p>
<p>This paper employs the Synthetic Control Method (SCM) framework to assess the impact of natural capital loss on poverty in the Yucatan Peninsula. This approach allows for the comparison of the evolution of poverty in the study region with a synthetic control group that reflects what would have occurred in the absence of natural capital loss. This method is presented as a valuable tool for estimating causal effects in contexts where controlled experiments are not feasible.</p>
<p>The results of this analysis indicate that poverty in the Yucat&#xe1;n Peninsula could have been two percentage points lower than the observed level in 2022 (44.56%) if the 14.29% loss in natural capital had not occurred. This suggests that the loss of natural capital had an additional negative effect of 2.08% on poverty reduction in the region. Between 2018 and 2022, poverty in the Yucatan Peninsula decreased by an average of 3.20 percentage points, compared to a reduction of 5.71 percentage points in the rest of Mexico&#x2019;s states, indicating that the loss of natural capital offset the impact of policies implemented to reduce poverty in the region. This partial offsetting effect prevented 232,150 people from escaping multidimensional poverty by 2022.</p>
<p>The implications of this study are significant in several respects: the results suggest that conserving natural capital is crucial to optimizing the effectiveness of poverty reduction policies. This implies that development strategies must integrate environmental conservation as an essential component to address multidimensional poverty. It highlights the need to include an ecological poverty component in multidimensional poverty indices, which could help more accurately reflect the living conditions of vulnerable populations and the interrelationship between social wellbeing and ecosystem health. The results of this research will inform resource planning and management in the Yucat&#xe1;n Peninsula, promoting an approach that prioritizes environmental sustainability and the protection of natural areas, which could contribute to poverty reduction. As a result of its finding, this study makes the following recommendations pertinent to the design of regional infrastructure programs.<list list-type="simple">
<list-item>
<p>1. Safeguard natural areas crucial for biodiversity conservation and ecosystem services to ensure sustainable livelihoods for rural populations.</p>
</list-item>
<list-item>
<p>2. Incorporate ecological trade-off effects between infrastructure development and natural area loss into net social cost-benefit analyses, including the full economic value of ecosystem services.</p>
</list-item>
<list-item>
<p>3. Implement ecological and economic offsets through benefit-sharing mechanisms in affected areas to mitigate environmental impacts.</p>
</list-item>
<list-item>
<p>4. Include ecological metrics, such as the CONABIO natural capital index, in regional poverty measurement frameworks to better reflect environmental contributions to social wellbeing.</p>
</list-item>
<list-item>
<p>5. Conduct comprehensive assessments of the long-term socio-ecological impacts of infrastructure projects, extending beyond short-term effects, to inform sustainable development strategies.</p>
</list-item>
</list>
</p>
<p>The temporal scope of this study is limited to estimating the short-term causal effect of natural capital loss due to the construction of the Mayan Train, covering the period from 2019 to 2022. In the short term, the economic benefits experienced by the population during the construction phase did not fully offset the income losses for those primarily dependent on natural capital in the region. However, it is recognized that in the long term, the infrastructure could foster increased economic activity, which may lead to higher incomes and reduced poverty levels. To accurately assess medium- and long-term impacts, further analysis extending beyond the initial years is necessary to capture the effects following the period of natural capital loss caused by the Mayan Train construction.</p>
<p>This study opens the door to further research on the interrelationship between natural capital and poverty in other regions, as well as the evaluation of policies that integrate environmental conservation and social development. In summary, the conclusions of this document suggest that conserving natural capital is crucial for enhancing social wellbeing and the effectiveness of sustainable development policies.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s13">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>GA-P: Writing &#x2013; original draft, Visualization, Software, Data curation, Conceptualization, Methodology. LB-M: Validation, Funding acquisition, Writing &#x2013; review and editing. LS: Investigation, Writing &#x2013; original draft, Formal Analysis. VH-T: Writing &#x2013; review and editing, Validation, Supervision, Software, Conceptualization, Investigation. AM-C: Validation, Writing &#x2013; review and editing, Software, Investigation, Supervision. AO-R: Investigation, Writing &#x2013; review and editing, Validation, Supervision.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported by the Secretaria de Ciencia, Humanidades, Tecnolog&#xed;a e Innovaci&#xf3;n (SECIHTI), through the project CBF 2023-2024-4308.</p>
</sec>
<ack>
<p>We thank the Centro de Investigaciones Biol&#xf3;gicas del Noroeste (CIBNOR) for its support in completing this research.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<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="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<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>
<sec sec-type="supplementary-material" id="s13">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenvs.2025.1617170/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenvs.2025.1617170/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.csv" id="SM1" mimetype="application/csv" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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