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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">115</journal-id>
      <journal-id journal-id-type="index">urn:lsid:arphahub.com:pub:32e1b97d-7003-598d-92e7-0ceb44416cc9</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">BRICS Journal of Economics</journal-title>
        <abbrev-journal-title xml:lang="en">brics-econ</abbrev-journal-title>
      </journal-title-group>
      <issn pub-type="ppub">2712-7702</issn>
      <issn pub-type="epub">2712-7508</issn>
      <publisher>
        <publisher-name>BRICS Journal of Economics</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.3897/brics-econ.7.e151185</article-id>
      <article-id pub-id-type="publisher-id">151185</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group subj-group-type="scientific_subject">
          <subject>(O) Economic Development</subject>
          <subject> Innovation</subject>
          <subject> Technological Change</subject>
          <subject> and Growth</subject>
          <subject>(Q) Agricultural and Natural Resource Economics • Environmental and Ecological Economics</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>The environmental sustainability corridor: is India moving along the right path?</article-title>
      </title-group>
      <contrib-group content-type="authors">
        <contrib contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Shahani</surname>
            <given-names>Rakesh</given-names>
          </name>
          <email xlink:type="simple">rakesh.shahani@bramb.du.ac.in</email>
          <uri content-type="orcid">https://orcid.org/0000-0003-4916-2740</uri>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name name-style="western">
            <surname>Ahluwalia</surname>
            <given-names>Kartikay</given-names>
          </name>
          <xref ref-type="aff" rid="A1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="A1">
        <label>1</label>
        <addr-line content-type="verbatim">Dr Bhim Rao Ambedkar College, University of Delhi, Delhi (India)</addr-line>
        <institution>Dr Bhim Rao Ambedkar College, University of Delhi</institution>
        <addr-line content-type="city">Delhi</addr-line>
        <country>India</country>
        <uri content-type="ror">https://ror.org/04gzb2213</uri>
      </aff>
      <author-notes>
        <fn fn-type="corresp">
          <p>Corresponding author: Rakesh Shahani (<email xlink:type="simple">rakesh.shahani@bramb.du.ac.in</email>)</p>
        </fn>
        <fn fn-type="edited-by">
          <p>Academic editor: Sheresheva M.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>07</day>
        <month>07</month>
        <year>2026</year>
      </pub-date>
      <volume>7</volume>
      <issue>2</issue>
      <fpage>129</fpage>
      <lpage>149</lpage>
      <uri content-type="arpha" xlink:href="http://openbiodiv.net/31FD45FE-C868-563C-9498-082F6A25AD65">31FD45FE-C868-563C-9498-082F6A25AD65</uri>
      <history>
        <date date-type="received">
          <day>24</day>
          <month>02</month>
          <year>2025</year>
        </date>
        <date date-type="accepted">
          <day>26</day>
          <month>05</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Rakesh Shahani, Kartikay Ahluwalia</copyright-statement>
        <license license-type="creative-commons-attribution" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <abstract>
        <label>Abstract</label>
        <p>This paper examines whether India’s growth–environment trade-off is sustainable. It has two specific objectives. The first is to investigate the long-run co-integrating relationship between the ecological footprint (a proxy variable for the environment) and <abbrev xlink:title="economic growth">GDP</abbrev> per capita (a proxy variable for economic growth), with urbanisation, trade and biocapacity as additional variables. The second objective is to examine the applicability of the ‘N’-shaped Environmental Kuznets Curve (<abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>) hypothesis in the Indian context. To accomplish these objectives, the study considers the period from 1971 to 2017 (46 years) and sources its data from the World Development Indicators and the Global Footprint Network. The methodology employed to analyse the relationship between the variables is ARDL cointegration and Toda-Yamamoto causality, while two variants of <abbrev xlink:title="economic growth">GDP</abbrev> (square and cubic) are used to validate the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> in the Indian context. The results revealed a strong long-term relationship (cointegration) between the variables. It was observed that all the variables except trade impacted the ecological footprint, with causality flowing from all the variables towards the footprint. However, an ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> was not proven for India. These results have important implications. The long-run lagged error adjustment coefficient (<abbrev xlink:title="error adjustment coefficient">ECM</abbrev>(-1)) revealed a slow adjustment process towards achieving sustainable development targets, which indicates that India’s environmental compromise in pursuit of economic growth still persists. While the nationwide initiatives, such as the National Solar Mission and the <abbrev xlink:title="Faster Adoption and Manufacturing of Hybrid and Electric Vehicles">FAME</abbrev> schemes, are praiseworthy, the study recommends much more stringent policy measures for India. Stricter policies may require moderating some of the country’s growth targets in order to achieve transition towards an environmentally sustainable development path well aligned with the Sustainable Development Goals (<abbrev xlink:title="Sustainable Development Goals">SDGs</abbrev>) and COP26 commitments.</p>
      </abstract>
      <kwd-group>
        <label>Keywords</label>
        <kwd>EKC</kwd>
        <kwd>ARDL</kwd>
        <kwd>Causality</kwd>
        <kwd>‘Ecological Footprint’</kwd>
        <kwd>Sustainable Development</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>JEL</meta-name>
          <meta-value>Q56, Q57</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
    <notes>
      <sec sec-type="Citation" id="sec1">
        <title>Citation</title>
        <p>Shahani, R., &amp; Ahluwalia, K. (2026). The environmental sustainability corridor: is India moving along the right path? <italic>BRICS Journal of Economics, 7</italic>(2), 129–149. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.3897/brics-econ.7.e151185">https://doi.org/10.3897/brics-econ.7.e151185</ext-link></p>
      </sec>
    </notes>
  </front>
  <body>
    <sec sec-type="1. Introduction" id="sec2">
      <title>1. Introduction</title>
      <p>The contribution of the ecological system to the existence and nurturing of humanity is unprecedented, well documented and beyond debate. For centuries, the human race has existed in harmony with the ecological system. However, the pursuit of a better quality of life and improved living conditions over the last few decades has disturbed the ecological system’s delicate balance, resulting in rising global temperatures, melting glaciers, rapid extinction of wildlife, unpredictable rainfall and other climate-related changes (<xref ref-type="bibr" rid="B15">Hassan et al., 2019</xref>; Shahbaz et al., 2018).</p>
      <p>The issue of global ecological imbalance has been widely discussed at many national and international forums and summits. At these events, developing countries have often highlighted the role played by advanced economies in contributing to environmental degradation. These discussions tend to emphasise that the development patterns and policies adopted by advanced economies in the past were primarily aimed at achieving higher growth and income levels. However, these policies have also contributed to ecological degradation and imbalances within fragile ecosystems.</p>
      <p>In debates about environmental degradation at various forums, representatives of developing economies often question the rationale behind imposing stricter sustainability requirements on them when such requirements were not imposed on developed economies during their own growth cycles within the broader context of sustainable development. Developed countries generally respond by pointing out that the economic and environmental conditions during their own growth phases differed considerably from the present day. At the same time, however, these nations are willing to support developing countries in global efforts to reduce emissions and promote environmental sustainability (<xref ref-type="bibr" rid="B3">Allan, et al., 2023</xref>; <xref ref-type="bibr" rid="B4">Agarwal &amp; Narain, 2012</xref>; <xref ref-type="bibr" rid="B34">Stern, 2008</xref>).</p>
      <p>According to a study conducted by the Centre for Global Development, which analysed historical carbon emissions data over 160 years from 1850 to 2011, the contribution of developed economies to carbon emissions was found to be approximately 79% (<ext-link xlink:href="file:///D:/%d0%a4%d0%90%d0%9a%d0%a3%d0%9b%d0%ac%d0%a2%d0%95%d0%a2/00_BRICS_7(2)_2026/%d0%b0%d0%b2%d1%82%d0%be%d1%80/24%20%d0%b8%d1%8e%d0%bd%d1%8f/00d0c9ea79f9bace118c8200aa004ba90b0200000003000000e0c9ea79f9bace118c8200aa004ba90b4400000068007400740070003a002f002f007700770077002e00630067006400650076002e006f00720067002f000000795881f43b1d7f48af2c825dc485276300000000a5ab000300" ext-link-type="uri">www.cgdev.org</ext-link>).</p>
      <p>With regard to the current emissions scenario, the worrying aspect is that the share of emissions from developing countries has already surpassed that from developed countries (<xref ref-type="bibr" rid="B30">Sharma et al., 2021</xref>). In their desire to achieve higher growth rates, developing economies are often found to be compromising environmental concerns, thereby raising environmental degradation to unsustainable levels. The main issue is the extremely high consumption of non-renewable fuels in developing economies, whereas developed countries have substantially replaced this with renewables. According to estimates, traditional fossil fuels contribute 68% of <abbrev xlink:title="greenhouse gas">GHG</abbrev> emissions in developing economies (<xref ref-type="bibr" rid="B15">Hassan et al., 2019</xref>). Furthermore, rapid urbanisation in these economies has led to a disproportionate distribution of emissions, with urban areas being the main contributors.</p>
      <p>Some studies have been conducted on the potential future impact of environmental degradation, and the results reveal an inverse relationship between the level of economic development and climate change impact. This implies that developing economies, due to their lower level of development, are likely to experience a greater impact of climate change, primarily due to their limited capacity for environmental adaptation (<xref ref-type="bibr" rid="B22">Nkengfack &amp; Fotio, 2019</xref>). Nevertheless, many developing countries have initiated energy-efficient strategies or fine-tuned existing policies to target greenhouse gas (<abbrev xlink:title="greenhouse gas">GHG</abbrev>) emissions.</p>
      <p>While appreciating such steps, environmentalists add a note of caution, stating that such a strategy can only serve as a temporary solution and that countries ultimately have little choice but to switch to renewable energy sources. According to them, the goal of any economy must be to transition from non-renewable to renewable energy, coupled with strict environmental regulation enforcement. Environmentalists also caution that any leniency in enforcement would render the transition meaningless. Research has revealed that countries where environmental regulations are compromised over time tend to become pollution havens, attracting dirty industries and thereby importing more carbon. It is worth noting that cross-border energy transactions have been one of the primary reasons for exceptional growth in some developing economies. Therefore, any reduction in this area may be difficult to implement, as it would mean cutting back on growth targets, which most developing countries are unwilling to do (Shahani et al., 2021; <xref ref-type="bibr" rid="B31">Sharvini et al., 2018</xref>; <xref ref-type="bibr" rid="B1">Ahmed et al., 2022</xref>; <xref ref-type="bibr" rid="B18">Murshed et al., 2021</xref>).</p>
      <p>Moving on to empirical research in the field of growth and environment, this area of study gained momentum following the introduction of the renowned Environmental Kuznets Curve (<abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>) by <xref ref-type="bibr" rid="B14">Grossman and Krueger (1995)</xref>. This theory suggests that developed countries are less polluting than developing and underdeveloped countries, and that a reduction in environmental degradation is linked to income levels. According to <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>, once a country enters the ’threshold’ income zone, environmental degradation tends to reverse, i.e. the upward rise in the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve is halted and the graph reaches a turning point (Turning Point 1, Fig. <xref ref-type="fig" rid="F1">1</xref>). Beyond this turning point, the curve starts to fall, creating an inverted U-shape.</p>
      <fig id="F1">
        <object-id content-type="doi">10.3897/brics-econ.7.e151185.fig1</object-id>
        <object-id content-type="arpha">C1FBF5A6-D3B8-52FA-831C-E725B41DB01B</object-id>
        <label>Fig. 1.</label>
        <caption>
          <p>‘N’ shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev></p>
        </caption>
        <graphic xlink:href="brics-econ-07-129-g001.jpg" id="oo_1709362.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1709362</uri>
        </graphic>
      </fig>
      <p>On the other hand, as incomes continue to increase, a stage is reached where environmental degradation is at its maximum (i.e. the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve reaches its minimum), and the curve begins to rise again as incomes increase further. Researchers have termed this an ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve. Thus, a typical ‘N’-shaped curve (Fig. <xref ref-type="fig" rid="F1">1</xref>) has two turning points. The first turning point creates an ‘inverse U’-shaped curve, while the second turning point extends this to an ‘N’-shaped curve. It is this ‘N’-shaped curve that is more relevant today for most economies.</p>
      <p>In order to validate <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>, researchers employed many proxy variables for ‘environmental degradation’ in their studies, including CO2 emissions, SO2 emissions or PM10 emissions. Income or <abbrev xlink:title="economic growth">GDP</abbrev> is usually used as a standard proxy for ‘growth’. On the other hand, some economists challenged emission indicators because they are unable to comprehensively capture environmental degradation and recommended new variables such as ‘ecological footprint’, which can measure degradation quantitatively.</p>
      <p>The new indicator, the ‘ecological footprint’, includes the effects of all the goods and services produced, as well as the waste generated, and is considered to be a superior representation of environmental degradation. In simple terms, the variable incorporates all the activities required to support a given lifestyle (Rashid , et al., 2018; <xref ref-type="bibr" rid="B12">Global Footprint Network, 2014</xref>). Due to its direct and indirect focus on environmental impact, the term has gained importance, replacing most other proxies for environmental degradation. Recent studies, such as those by <xref ref-type="bibr" rid="B16">Mrabet and Alsamara (2016)</xref>, <xref ref-type="bibr" rid="B17">Mrabet et al. (2017)</xref>, <xref ref-type="bibr" rid="B24">Öztürk et al. (2016)</xref> and <xref ref-type="bibr" rid="B39">Wang et al. (2013)</xref>, have considered the variable ‘ecological footprint’ to be their proxy of choice for environmental degradation.</p>
      <p>Some studies that considered the ecological footprint as a proxy variable found mixed results regarding its relationship with economic growth and the validity of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>. While studies by <xref ref-type="bibr" rid="B37">Ulucak and Bilgili (2018)</xref>, <xref ref-type="bibr" rid="B24">Öztürk et al. (2016)</xref> and some others found the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> to be valid, <xref ref-type="bibr" rid="B9">Destek et al. (2018)</xref> and <xref ref-type="bibr" rid="B7">Bello et al. (2018)</xref> were unable to establish the hypothesis. Then, in addition to growth, the ‘ecological footprint’ indicator was tested against other variables such as urbanisation, foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>), financial development and environmental technology. Some of these variables have also been included in the present study, with a detailed discussion of their relationship to the ecological footprint covered in the literature review section.</p>
      <p>Another variable that is becoming increasingly popular in empirical environmental studies, often alongside the ecological footprint, is ‘bio-capacity’. According to the Global Footprint Network (<abbrev xlink:title="Global Footprint Network">GFN</abbrev>), all commodities and services carry an embedded amount of bioproduction area (land and sea, including associated waste), which is termed ‘bio-capacity’ and expressed in global hectares. If a country’s bio-capacity exceeds its ecological footprint, it is said to have an ecological reserve. Conversely, if the ecological footprint exceeds the bio-capacity, the country faces an ecological deficit. According to data provided by <abbrev xlink:title="Global Footprint Network">GFN</abbrev>, more than 80% of the world’s population resides in countries with an ecological deficit (<ext-link xlink:href="http://www.footprintnetwork.org" ext-link-type="uri">www.footprintnetwork.org</ext-link> ). Furthermore, it is estimated that the world today requires the equivalent of 1.5 times the total surface area of the Earth to sustain the current ecological footprint (<xref ref-type="bibr" rid="B15">Hassan et al., 2019</xref>).</p>
      <p>In light of the above discussion and bearing in mind the objectives of the study, it was decided to explore whether the path envisaged for India’s growth story is sustainable. To answer this question, the study aims to establish a relationship between ‘ecological footprint’ and a group of growth- and development-related variables, which have been conveniently classified as ‘traditional’ and ‘non-traditional’. The former includes commonly used single-data-type variables, while the latter considers two complex variables: ‘ecological footprint’ and bio-capacity. The study would also test the validity of the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model in the Indian context, and attempt to determine whether a long-term relationship exists between the ecological footprint and these variables. The behaviour of each independent variable towards ‘ecological footprint’ is further investigated to determine whether it is consistent with expectations. Furthermore, as India aims to become a developed economy by 2047, the study’s unique contribution will be to determine if this can be achieved in a sustainable manner. With these considerations in mind, we move on to our next section, which is the literature review.</p>
    </sec>
    <sec sec-type="2. Literature Review" id="sec3">
      <title>2. Literature Review</title>
      <p><italic>In the literature review, we examine some studies that have considered the ‘ecological footprint’, which is the environmental proxy used in the present research. First, we examine recent papers that have tested for the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> relationship, followed by empirical studies on co-integration and other methodologies involving the variable ‘ecological footprint’</italic>.</p>
      <p><xref ref-type="bibr" rid="B19">Nathaniel et al. (2021)</xref> tested for <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> amongst MENA countries by taking ‘ecological footprint’ and <abbrev xlink:title="economic growth">GDP</abbrev>. The results revealed that the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> hypothesis was applicable during the early phase of economic development. Furthermore, environmental degradation was clearly visible during this early period; however, with more economic development, this degradation was seen to reverse, thereby confirming the validity of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model. Subsequently, <xref ref-type="bibr" rid="B30">Sharma et al. (2021)</xref> conducted a similar investigation in eight South Asian countries. The results revealed two turnarounds in the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve: the first was in line with the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model, while the second was above the expected range, indicating that future economic growth in these countries may be unsustainable. However, the results did prove the shape to be in line with the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model.</p>
      <p>In a large sample of 85 countries divided into three categories (high, medium and low income), <xref ref-type="bibr" rid="B23">Numan et al. (2022)</xref> tested the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model. The results were mixed, with only a few countries supporting the hypothesis. The researchers therefore ruled out generalising the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> and recommended customised environmental policies for each country. On the other hand, <xref ref-type="bibr" rid="B10">Farooq et al. (2023)</xref> tested the validity of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve in India to determine the country’s stage of development by considering six disaggregated footprints, as defined by the term ‘ecological footprint’. The results revealed that five of the six footprints validated the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>. The study projected that India’s environmental degradation would become sustainable by 2034; however, it also warned of considerable depletion of grazing and forest land before this could be achieved.</p>
      <p>Thus, the viewpoint regarding the ‘ecological footprint’ as an environmental proxy appears to be no different to that of other environmental proxies, such as CO₂ and SO₂, which are also considered by researchers whose studies produce mixed results regarding the validity of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>. In other words, some studies report its validity, while others do not.</p>
      <p>Apart from validating the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>, the ‘ecological footprint’ variable has been tested for co-integration, causality and other relationships against many variables, including environmental regulations, renewable and non-renewable energy variables, financial development, foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>), urbanisation, democracy and life expectancy, among others. Studies that have considered ‘environmental regulations’ (using environmental patents as a proxy) include those by <xref ref-type="bibr" rid="B8">Danish et al. (2020)</xref>, <xref ref-type="bibr" rid="B1">Ahmed et al. (2022)</xref> and <xref ref-type="bibr" rid="B11">Fotis and Polemis (2018)</xref>. All of these studies report that ‘environmental regulations’ not only decrease the ecological footprint directly, but also stimulate ‘renewables’, which are known to reduce the ecological footprint. The biggest hurdle identified with respect to ‘environmental regulations’ was that they were not decided by market forces, but by political institutions that manage state affairs, thus paving the way for tight environmental regulations in a few countries and lax regulations in others.</p>
      <p>Then, the variable ‘growth’, proxied by <abbrev xlink:title="economic growth">GDP</abbrev>, was found to contribute to ‘environmental degradation’ and enjoy a positive relationship with ‘ecological footprint’ due to its connection with the mass consumption of resources. Similarly, life expectancy was also found to be positively related to ecological footprint, with urban life expectancy contributing more detrimentally than rural life expectancy. Age was studied separately, despite being closely linked to life expectancy. Studies on ‘age’ have revealed that environmental awareness increases with age and is expected to result in lower emissions. However, this has not been observed in empirical studies, and it has been found that there is a positive relationship between ‘age’ and ‘ecological footprint’, rather than a zero or negative relationship (<xref ref-type="bibr" rid="B40">Zagheni, 2011</xref>). Among the other variables, global trade was found to impact the ecological footprint both positively and negatively. If trade induces the flow of energy-intensive technologies into a country, this is expected to increase its ecological footprint. However, trade may also bring green technologies through technological substitution, which would have a negative impact on the ecological footprint (<xref ref-type="bibr" rid="B18">Murshed et al., 2021</xref>; <xref ref-type="bibr" rid="B2">Ahmed et al., 2020</xref>).</p>
      <p>One variable that has been comprehensively studied in relation to the ‘ecological footprint’ is renewable energy. Most studies, including those by <xref ref-type="bibr" rid="B29">Sharif et al. (2020)</xref>, Nathaniel et al. (<xref ref-type="bibr" rid="B20">2020a</xref>, <xref ref-type="bibr" rid="B21">2020b</xref>) and <xref ref-type="bibr" rid="B25">Radmehr et al. (2022)</xref>, have found a negative correlation. <xref ref-type="bibr" rid="B20">Nathaniel et al. (2020a)</xref> revealed a negative relationship for MENA countries, whereas <xref ref-type="bibr" rid="B29">Sharif et al. (2020)</xref> obtained similar results for Turkey.</p>
      <p>Some studies have attempted to establish a link between ‘ecological footprint’ and variables such as ‘<abbrev xlink:title="foreign direct investment">FDI</abbrev>’ and ‘financial development’. With respect to foreign direct investment (<abbrev xlink:title="foreign direct investment">FDI</abbrev>), <xref ref-type="bibr" rid="B33">Solarin and Al-Mulali (2018)</xref> found that this variable had no impact on the ecological footprint. However, <xref ref-type="bibr" rid="B6">Baloch et al. (2019)</xref> and <xref ref-type="bibr" rid="B17">Mrabet et al. (2017)</xref> concluded that financial development increased the ecological footprint. Regarding the complex variable ‘bio-capacity’, <xref ref-type="bibr" rid="B15">Hassan et al. (2019)</xref> demonstrated that ‘bio-capacity’ was statistically significant and negative, indicating that the ‘bio-capacity’ accumulated was detrimental to the ecological footprint.</p>
      <p>Based on the above review of the impact of different variables on the ‘ecological footprint’, we can broadly conclude that these results are in line with expectations and are no different to those of other environmental proxy variables such as CO₂, SO₂, PM₁₀ and other emissions considered by researchers in the past. Furthermore, considering the nature of the variables that researchers have considered in different studies, we conclude that these can conveniently be divided into traditional variables (e.g. growth, trade, urbanisation, renewable and non-renewable energy) and non-traditional variables (e.g. democracy, environmental regulations, bio-capacity). Our literature review suggests that the relationship between non-traditional variables and ‘ecological footprint’ is stronger than that between traditional variables and ‘ecological footprint’.</p>
      <p>In light of the above, our study has two objectives: first, to test the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model for India; and second, to test the long-run co-integrating relationship between the ecological footprint and a mix of traditional and non-traditional variables. The co-integration model applied is the ARDL model, chosen because of the difference in the level of integration among the included variables (see Section 4: Research Methodology for further details).</p>
    </sec>
    <sec sec-type="3. Data and variables under study" id="sec4">
      <title>3. Data and variables under study</title>
      <p>Table <xref ref-type="table" rid="T1">I</xref> below summarizes information about the five variables considered in the study. All variables are log-transformed; the sample period covers 46 years of annual data from 1971-2017.</p>
      <table-wrap id="T1">
        <label>Table I.</label>
        <caption>
          <p>Summary information about the variables included in the study</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1"><bold>Sr No</bold>.</td>
              <td rowspan="1" colspan="1">
                <bold>Name of the Indicator</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Unit of Measurement</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Source of Data</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">1.</td>
              <td rowspan="1" colspan="1">Urbanization</td>
              <td rowspan="1" colspan="1">Urban pop (% of total pop)</td>
              <td rowspan="1" colspan="1">World Dev. Indicators</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">2</td>
              <td rowspan="1" colspan="1">Economic Growth</td>
              <td rowspan="1" colspan="1"><abbrev xlink:title="economic growth">GDP</abbrev> Per Capita Cons 2015 prices</td>
              <td rowspan="1" colspan="1">World Dev. Indicators</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">3.</td>
              <td rowspan="1" colspan="1">Trade Openness</td>
              <td rowspan="1" colspan="1">Merchandize {Sum of Exports and Imports (% of <abbrev xlink:title="economic growth">GDP</abbrev>)},</td>
              <td rowspan="1" colspan="1">World Dev. Indicators</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">4</td>
              <td rowspan="1" colspan="1">Ecological Footprint</td>
              <td rowspan="1" colspan="1">Global Hectares per capita</td>
              <td rowspan="1" colspan="1">Global Footprints Network GFN (2023)</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">5</td>
              <td rowspan="1" colspan="1">Bio-capacity</td>
              <td rowspan="1" colspan="1">Global Hectares per capita</td>
              <td rowspan="1" colspan="1">Global Footprints Network</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p>Apart from these five variables, we also included two transformations of the variable <abbrev xlink:title="economic growth">GDP</abbrev>, namely the square and the cube of the <abbrev xlink:title="economic growth">GDP</abbrev> variable, which facilitate the testing of the N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> hypothesis. According to Baloch et al. (2022), the three turns as seen in N shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model represent scale, composition and technique obsolescence effects. If we consider the relationship in the expected way, then income, income squared and cubic income (i.e. <abbrev xlink:title="economic growth">GDP</abbrev> and its two transformations) should have a direct, then indirect and then direct relationship with the ecological footprint in order to validate an N-shaped relationship. According to proponents of the ‘N’-shaped curve, the composition effect, which is directly a function of income, sets in during the initial stages of economic development. This may change or reverse later for some economies that use excessive energy resources or fail to replace old, energy-intensive equipment with newer, cleaner alternatives. The significant positive income coefficient indicates that the country may still be using obsolete, energy-intensive technology.</p>
      <p>Concerning the variable ‘bio-capacity’, it is expected to be negatively related to the ‘ecological footprint’ because high bio-capacity has a negative impact on the environment. The variable ‘urbanisation’, which is often associated with job concentration in and around major cities, is expected to have an adverse impact on the environment and is also expected to be positively related to ‘ecological footprint’. As discussed previously, trade openness may have either a positive or negative relationship with the ecological footprint. For a country simply aiming to accelerate growth, trade policies would involve importing energy-intensive technologies, which would raise the ‘ecological footprint’. However, for a country using trade routes to import green technologies to replace existing traditional technologies, the relationship with the ecological footprint is expected to be negative.</p>
    </sec>
    <sec sec-type="4. Research methodology" id="sec5">
      <title>4. Research methodology</title>
      <p>In this section, we develop an econometric relationship between ‘ecological footprint’ and different variables, taking into account the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> hypothesis. We then use co-integration and causality models to determine whether a long-term sustainable relationship exists between the variables.</p>
      <sec sec-type="4.1. Validating EKC model for India" id="sec6">
        <title>4.1. Validating EKC model for India</title>
        <p>The econometric relationship for the validation of the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> for India is given below in equation (i):</p>
        <p><abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev> = f (<abbrev xlink:title="economic growth">GDP</abbrev>, <abbrev xlink:title="economic growth">GDP</abbrev><sup>2</sup>, <abbrev xlink:title="economic growth">GDP</abbrev><sup>3</sup>, Trade Openness, Urbanization, Bio-capacity) (i)</p>
        <p>Applying a log transformation to all the variables after making them stationary leads to equation (ii):</p>
        <p>ln.<abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev><italic><sub>t</sub></italic> = α + β<sub>1</sub>ln.<abbrev xlink:title="economic growth">GDP</abbrev><sub><italic>t</italic></sub> + β<sub>2</sub>(ln.<abbrev xlink:title="economic growth">GDP</abbrev>)<sup>2</sup><sub><italic>t</italic></sub> +β<sub>3</sub>(ln.<abbrev xlink:title="economic growth">GDP</abbrev>)<sup>3</sup><sub><italic>t</italic></sub> + β<sub>4</sub>ln.Trade Openness<sub><italic>t</italic></sub> + + β<sub>5</sub>ln.Urbanization<sub><italic>t</italic></sub> + β<sub>6</sub>ln. Biocapacity + <italic>u<sub>t</sub></italic> (ii)</p>
        <p>Since the relationship between income and ‘ecological footprint’ can manifest in various ways, it has been studied using information obtained from sign, nature and significance of <abbrev xlink:title="economic growth">GDP</abbrev>, as well as its two transformations, <abbrev xlink:title="economic growth">GDP</abbrev>² and <abbrev xlink:title="economic growth">GDP</abbrev>³, which are presented as points 1 to 6 below. This would also serve as a test to determine whether an N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> is applicable in the Indian context.</p>
        <list list-type="order">
          <list-item>
            <p>If β
                        <sub>1</sub> &gt; 0 and β
                        <sub>2</sub> = β
                        <sub>3</sub> = 0, the plotted curve depicting <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> shall be monotonously rising
                    </p>
          </list-item>
          <list-item>
            <p>If β
                        <sub>1</sub> &lt; 0 and β
                        <sub>2</sub> = β
                        <sub>3</sub> = 0, the plotted curve shall be monotonously falling
                    </p>
          </list-item>
          <list-item>
            <p>If β
                        <sub>1</sub> &gt; 0 and β
                        <sub>2</sub> &lt; 0 while β
                        <sub>3</sub> = 0, the curve shall be an inverted U-shape
                    </p>
          </list-item>
          <list-item>
            <p>If β
                        <sub>1</sub> &lt; 0 and β
                        <sub>2</sub> &gt; 0 while β
                        <sub>3</sub> = 0, the curve shall be U-shaped
                    </p>
          </list-item>
          <list-item>
            <p>If β
                        <sub>1</sub> &gt; 0 and β
                        <sub>2</sub> &lt; 0 while β
                        <sub>3</sub> &gt;0, the curve shall be satisfying the N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> Model
                    </p>
          </list-item>
          <list-item>
            <p>If β
                        <sub>1</sub> &lt; 0 and β
                        <sub>2</sub> &gt; 0 while β
                        <sub>3</sub> &lt; 0, the curve shall be inverse N-shaped.
                    </p>
          </list-item>
        </list>
        <p>Of the six possible patterns of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> discussed above, three shapes have routinely been seen in research studies. These include the monotonically rising <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> plot, the inverse U-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> plot, and the most recent N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model.</p>
      </sec>
      <sec sec-type="4.2. ARDL Representative Model" id="sec7">
        <title>4.2. ARDL Representative Model</title>
        <p>This section develops an ARDL representative model of cointegration to test the cointegrating relationship between the ‘ecological footprint’ and four other variables: <abbrev xlink:title="economic growth">GDP</abbrev>, trade openness, urbanisation and biocapacity. We also add two transformations of <abbrev xlink:title="economic growth">GDP</abbrev>, the square and cube, to the ARDL model to validate the N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> for India, and the model is given as Eq. (iii) below:</p>
        <p><mml:math id="M1"><mml:mtable displaystyle="true" columnspacing="1em" rowspacing="3pt"><mml:mtr><mml:mtd><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mtext> Trade Openness </mml:mtext><mml:msub><mml:mrow/><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:msub><mml:mtext> Urbanization </mml:mtext><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:msub><mml:mtext> Biocapacity </mml:mtext><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mn>8</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mn>3</mml:mn></mml:msubsup><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:mi>Δ</mml:mi><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>9</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>11</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mn>2</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>12</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>13</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mtext> TradeOpenness </mml:mtext><mml:msub><mml:mrow/><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>14</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:msub><mml:mtext> Urbanization </mml:mtext><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>15</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mtext> Biocapacity </mml:mtext><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math>	(iii)</p>
        <p>For Eq. (iii), Δln.<italic><abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev><sub>t</sub></italic> is the change in the ‘ecological footprint’ in period <italic>t</italic>, with γ₁ as the model intercept, γ₂ as the slope coefficient of the first lag of the dependent variable <italic><abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev><sub>t</sub></italic> , and γ₃, γ₄, γ₅ and γ₆ as the slope coefficients of the first lag of the four independent variables. All first lags of the independent variables represent a long-run relationship with the dependent variable, <italic><abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev><sub>t</sub></italic>.</p>
        <p>The term <mml:math id="M2"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>9</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>ln</mml:mi><mml:mo>⁡</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>, logarithmic change in various lags of dependent variable; <italic><abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev><sub>t</sub></italic> has been included as a regressor, with ‘n’ being the number of lags determined by AIC Criteria. Slope Coefficients of this variable i.e. γ<sub>9,<italic>i</italic></sub> ; <italic>i</italic> = 1,2,…<italic>n</italic> are summed up till the maximum number of lags ‘n’ has been reached. Using similar logic, we add all independent variables, i.e. <mml:math id="M3"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>14</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>⁡</mml:mo><mml:msub><mml:mtext> Urbanization </mml:mtext><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>, <mml:math id="M4"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>13</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mtext> m </mml:mtext><mml:mtext> Trade Openness </mml:mtext><mml:msub><mml:mrow/><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>, <mml:math id="M5"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>⁡</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math> and <mml:math id="M6"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>γ</mml:mi><mml:mrow><mml:mn>15</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:mi>ln</mml:mi><mml:mo>.</mml:mo><mml:mtext> Biocapacity </mml:mtext><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>; the lags are determined by AIC. Furthermore, the short-run relation with the dependent variable is made up of all the logarithmic change terms collectively. The final term ut the stochastic error term.</p>
        <p>The equation also provides insight into the N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model. To validate this, we have added two terms, (ln <abbrev xlink:title="economic growth">GDP</abbrev>)² and (ln <abbrev xlink:title="economic growth">GDP</abbrev>)³, in the ARDL model as short- and long-run variables. We then test the validity of the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model by examining the sign and statistical significance of the long-run variables relating to <abbrev xlink:title="economic growth">GDP</abbrev> and its two transformations, i.e. parameters γ₂, γ₆ and γ₇ respectively (<xref ref-type="bibr" rid="B32">Sinha et al., 2018</xref>).). Since the signs and significance of these coefficients satisfy the necessary but not sufficient conditions for an <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> interpretation, the sufficient conditions require us to estimate turning points in the relationship. This is achieved by differentiating the log-transformed model (ii) with respect to <abbrev xlink:title="economic growth">GDP</abbrev> and equating the result to zero, thus yielding equations (iv) and (v):</p>
        <p><mml:math id="M7"><mml:mfrac><mml:mrow><mml:mi>∂</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>∂</mml:mi><mml:mo>(</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mi>∂</mml:mi><mml:mrow><mml:mi>∂</mml:mi><mml:mo>(</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>×</mml:mo><mml:mrow><mml:mrow><mml:mo minsize="2.047em" maxsize="2.047em">(</mml:mo></mml:mrow><mml:mfrac linethickness="0"><mml:mrow><mml:mi>α</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mi>r</mml:mi><mml:mn>3</mml:mn></mml:msubsup><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mtext> Trade Openness </mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mtext> Urbanization </mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mtext> Biocapacity </mml:mtext><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mrow><mml:mo minsize="2.047em" maxsize="2.047em">)</mml:mo></mml:mrow></mml:mrow></mml:math>	(iv)</p>
        <p>which on solving gives</p>
        <p><mml:math id="M8"><mml:mfrac><mml:mrow><mml:mi>∂</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>E</mml:mi><mml:mi>F</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>∂</mml:mi><mml:mo>(</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mrow><mml:mi>GDP</mml:mi></mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mrow><mml:mi>GDP</mml:mi></mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mn>2</mml:mn></mml:msup><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:mfrac></mml:math>	(v)</p>
        <p>By equating the result obtained to zero and rearranging we get eqation (vi) given below:</p>
        <p>β<sub>1</sub> + 2β<sub>2</sub> ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic> + 3β<sub>3</sub>(ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic>)<sup>2</sup> → 3β<sub>3</sub>(ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic>)<sup>2</sup> + 2β<sub>2</sub> ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic> + β<sub>1</sub> = 0 (vi)</p>
        <p>The above equation is a quadratic equation with roots as</p>
        <p><mml:math id="M9"><mml:mi>ln</mml:mi><mml:mo>⋅</mml:mo><mml:mi>G</mml:mi><mml:mi>D</mml:mi><mml:msub><mml:mi>P</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>±</mml:mo><mml:msqrt><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo>−</mml:mo><mml:mn>4</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msqrt></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:math>;</p>
        <p>The nature of the roots would depend upon the term <mml:math id="M10"><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup><mml:mo>−</mml:mo><mml:mn>4</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>, which follows one of the three possible scenarios (a, b, or c):</p>
        <p>a. (2β<sub>2</sub>)<sup>2</sup> – 4(3β<sub>3</sub>)(β<sub>1</sub>) &gt; 0, roots are real and distinct</p>
        <p>b. (2β<sub>2</sub>)<sup>2</sup> – 4(3β<sub>3</sub>)(β<sub>1</sub>) &lt; 0, roots are imaginary</p>
        <p>c. (2β<sub>2</sub>)<sup>2</sup> – 4(3β<sub>3</sub>)(β<sub>1</sub>) = 0, roots are real and equal</p>
        <p>The ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> would only be valid when scenario ‘a’ holds, i.e. when the roots are real and distinct, and curvature occurs at two distinct <abbrev xlink:title="economic growth">GDP</abbrev> levels. This would also validate the sufficient condition for the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model. On the other hand, for a traditional <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev>, which is an inverted U-shaped curve, β₃ = 0. This simply means that the above scenario is reduced to (2β₂)², which again amounts to two equal real roots. Applying antilog to solve for the roots, we obtain:</p>
        <p>
          <mml:math id="M11">
            <mml:mi>G</mml:mi>
            <mml:mi>D</mml:mi>
            <mml:msub>
              <mml:mi>P</mml:mi>
              <mml:mi>t</mml:mi>
            </mml:msub>
            <mml:mo>=</mml:mo>
            <mml:mtext> Antilog </mml:mtext>
            <mml:mrow>
              <mml:mo>(</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mo>−</mml:mo>
                  <mml:mn>2</mml:mn>
                  <mml:msub>
                    <mml:mi>β</mml:mi>
                    <mml:mn>2</mml:mn>
                  </mml:msub>
                  <mml:mo>±</mml:mo>
                  <mml:msqrt>
                    <mml:msup>
                      <mml:mrow>
                        <mml:mo>(</mml:mo>
                        <mml:mn>2</mml:mn>
                        <mml:msub>
                          <mml:mi>β</mml:mi>
                          <mml:mn>2</mml:mn>
                        </mml:msub>
                        <mml:mo>)</mml:mo>
                      </mml:mrow>
                      <mml:mn>2</mml:mn>
                    </mml:msup>
                    <mml:mo>−</mml:mo>
                    <mml:mn>4</mml:mn>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:mn>3</mml:mn>
                      <mml:msub>
                        <mml:mi>β</mml:mi>
                        <mml:mn>3</mml:mn>
                      </mml:msub>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                    <mml:mrow>
                      <mml:mo>(</mml:mo>
                      <mml:msub>
                        <mml:mi>β</mml:mi>
                        <mml:mn>1</mml:mn>
                      </mml:msub>
                      <mml:mo>)</mml:mo>
                    </mml:mrow>
                  </mml:msqrt>
                </mml:mrow>
                <mml:mrow>
                  <mml:mn>2</mml:mn>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mn>3</mml:mn>
                    <mml:msub>
                      <mml:mi>β</mml:mi>
                      <mml:mn>3</mml:mn>
                    </mml:msub>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>)</mml:mo>
            </mml:mrow>
          </mml:math>
        </p>
      </sec>
      <sec sec-type="4.3. The causality model" id="sec8">
        <title>4.3. The causality model</title>
        <p>Determining the short-term relationship through a cause-and-effect model is an important consideration in co-integration analysis and must be carried out even if co-integration is not proven. In the present study, we test for bivariate causality, with Y1 as the dependent variable (‘ecological footprint’ (<abbrev xlink:title="ecological footprint">EF</abbrev>)) and Y2 as the independent variable, which can be any of the four independent variables. Thus, our causality representation constitutes four variable pairs: the ecological footprint (<abbrev xlink:title="ecological footprint">EF</abbrev>) is paired with each of the explanatory variables. Furthermore, using a combination of I(0) and I(1) variables, we apply the modified ‘F’ causality model of <xref ref-type="bibr" rid="B36">Toda and Yamamoto (1995)</xref>. The TY model is similar to the Granger model (1969) in construction, except that the number of lags of the variables has been augmented. The model has two equations: one restricted and one unrestricted. Here, ‘h’ and ‘k’ denote the optimal lag lengths of the variables Y1 and Y2, respectively. The lags are determined by the consensus estimate of AIC, HQ, FPE and LR lag selection criteria. ‘I high’ specifies the higher order of integration between the two variables Y1 and Y2. ‘R’ means restricted, while ‘UR’ means unrestricted. The equations for the TY causality model are given as (vii) and (viii), with ut and vt denoting the two error terms in the two equations.</p>
        <sec sec-type="4.3.1. Restricted model" id="sec9">
          <title>4.3.1. Restricted model</title>
          <p>
            <mml:math id="M12">
              <mml:msub>
                <mml:mi>Y</mml:mi>
                <mml:mrow>
                  <mml:mn>1</mml:mn>
                  <mml:mi>t</mml:mi>
                  <mml:mo>(</mml:mo>
                  <mml:mi>R</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:msub>
                <mml:mi>π</mml:mi>
                <mml:mrow>
                  <mml:mn>0</mml:mn>
                  <mml:mo>(</mml:mo>
                  <mml:mi>u</mml:mi>
                  <mml:mi>R</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:munderover>
                <mml:mo>∑</mml:mo>
                <mml:mrow>
                  <mml:mi>j</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mn>1</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mtext>Jhigh </mml:mtext>
                </mml:mrow>
              </mml:munderover>
              <mml:msub>
                <mml:mi>θ</mml:mi>
                <mml:mrow>
                  <mml:mi>j</mml:mi>
                  <mml:mo>,</mml:mo>
                  <mml:mo>(</mml:mo>
                  <mml:mi>u</mml:mi>
                  <mml:mi>R</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:msub>
                <mml:mi>Y</mml:mi>
                <mml:mrow>
                  <mml:mn>2</mml:mn>
                  <mml:mo>,</mml:mo>
                  <mml:mo>(</mml:mo>
                  <mml:mi>t</mml:mi>
                  <mml:mo>−</mml:mo>
                  <mml:mi>j</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:mo>+</mml:mo>
              <mml:munderover>
                <mml:mo>∑</mml:mo>
                <mml:mrow>
                  <mml:mi>i</mml:mi>
                  <mml:mo>=</mml:mo>
                  <mml:mn>1</mml:mn>
                </mml:mrow>
                <mml:mrow>
                  <mml:mi>h</mml:mi>
                  <mml:mo>+</mml:mo>
                  <mml:mtext> Jigh </mml:mtext>
                </mml:mrow>
              </mml:munderover>
              <mml:msub>
                <mml:mi>β</mml:mi>
                <mml:mrow>
                  <mml:mi>i</mml:mi>
                  <mml:mo>,</mml:mo>
                  <mml:mo>(</mml:mo>
                  <mml:mi>R</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:msub>
                <mml:mi>Y</mml:mi>
                <mml:mrow>
                  <mml:mn>1</mml:mn>
                  <mml:mo>,</mml:mo>
                  <mml:mo>(</mml:mo>
                  <mml:mi>t</mml:mi>
                  <mml:mo>−</mml:mo>
                  <mml:mi>i</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:msub>
              <mml:mo>+</mml:mo>
              <mml:msub>
                <mml:mi>u</mml:mi>
                <mml:mi>t</mml:mi>
              </mml:msub>
            </mml:math>
            <bold>(vii)</bold>
          </p>
        </sec>
        <sec sec-type="4.3.2. Un-restricted model" id="sec10">
          <title>4.3.2. Un-restricted model</title>
          <p><mml:math id="M13"><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mi>t</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>π</mml:mi><mml:mrow><mml:mn>0</mml:mn><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mtext> Ihigh </mml:mtext></mml:mrow></mml:munderover><mml:msub><mml:mi>θ</mml:mi><mml:mrow><mml:mi>j</mml:mi><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>j</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:mtext> Ihigh </mml:mtext></mml:mrow></mml:munderover><mml:msub><mml:mi>β</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math>	(viii)</p>
          <p>The methodology involves running a regression analysis on equations (vii) and (viii), obtaining the sum of squared residuals (SSR), and then computing the modified ‘F’ value:’</p>
          <p>
            <mml:math id="M14">
              <mml:mi>Mod</mml:mi>
              <mml:msub>
                <mml:mi>F</mml:mi>
                <mml:mrow>
                  <mml:msup>
                    <mml:mtext>Wald </mml:mtext>
                    <mml:mrow>
                      <mml:mi>′</mml:mi>
                    </mml:mrow>
                  </mml:msup>
                </mml:mrow>
              </mml:msub>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:mrow>
                    <mml:mo>(</mml:mo>
                    <mml:mi>S</mml:mi>
                    <mml:mi>S</mml:mi>
                    <mml:msub>
                      <mml:mi>R</mml:mi>
                      <mml:mi>R</mml:mi>
                    </mml:msub>
                    <mml:mo>−</mml:mo>
                    <mml:mi>S</mml:mi>
                    <mml:mi>S</mml:mi>
                    <mml:msub>
                      <mml:mi>R</mml:mi>
                      <mml:mrow>
                        <mml:mi>U</mml:mi>
                        <mml:mi>R</mml:mi>
                      </mml:mrow>
                    </mml:msub>
                    <mml:mo>)</mml:mo>
                  </mml:mrow>
                  <mml:mrow>
                    <mml:mo>/</mml:mo>
                  </mml:mrow>
                  <mml:mi>k</mml:mi>
                </mml:mrow>
                <mml:mrow>
                  <mml:mi>S</mml:mi>
                  <mml:mi>S</mml:mi>
                  <mml:msub>
                    <mml:mi>R</mml:mi>
                    <mml:mrow>
                      <mml:mi>U</mml:mi>
                      <mml:mi>R</mml:mi>
                    </mml:mrow>
                  </mml:msub>
                  <mml:mrow>
                    <mml:mo>/</mml:mo>
                  </mml:mrow>
                  <mml:mo>(</mml:mo>
                  <mml:mi>n</mml:mi>
                  <mml:mo>−</mml:mo>
                  <mml:mi>k</mml:mi>
                  <mml:mo>)</mml:mo>
                </mml:mrow>
              </mml:mfrac>
            </mml:math>
          </p>
          <p><italic>(k is the degree of freedom of the numerator and n is the number of observations)</italic>.</p>
          <p>Null for Causality: (Ho): ): θ<sub>1</sub> = θ<sub>2</sub> = θ<sub>3</sub>…. = 0 (No causality) i.e. lagged terms of Y<sub>2</sub> do not influence Y<sub>1</sub> ; Reject Null when Mod F <sub>Wald</sub> &gt; F <sub>table</sub> at 5 %.</p>
        </sec>
      </sec>
      <sec sec-type="4.4. Model diagnostics" id="sec11">
        <title>4.4. Model diagnostics</title>
        <p>The study also carried out four diagnostics: model specification, serial correlation, heteroscedasticity and model stability. The objective of this exercise was to ascertain the validity and accuracy of our model by incorporating valid assumptions.</p>
        <p>Additionally, the study determined the level of stationarity of each of the five variables in order to rule out second-difference stationarity, a condition under the ARDL co-integration model.</p>
        <p>The methodology adopted for each of the four diagnostics, along with the stationarity test, is given as in 4.4.1–4.4.4 {eq(ix) to (xii)}</p>
        <sec sec-type="4.4.1. Model Specification" id="sec12">
          <title>4.4.1. Model Specification:</title>
          <p><mml:math id="M15"><mml:msub><mml:mi>y</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:msub><mml:mi>β</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msubsup><mml:mrow><mml:mover><mml:mi>y</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:math>; (ix)</p>
          <p>‘<italic>x<sub>i</sub></italic>’ being the number of explanatory variables,<mml:math id="M16"><mml:msubsup><mml:mrow><mml:mover><mml:mi>y</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:math> is the square of the predicted variable obtained by first running a simple regression.</p>
        </sec>
        <sec sec-type="4.4.2. Serial Correlation" id="sec13">
          <title>4.4.2. Serial Correlation:</title>
          <p><mml:math id="M17"><mml:msub><mml:mi>Q</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>n</mml:mi><mml:mo>⋅</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:msubsup><mml:mi>ρ</mml:mi><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi>i</mml:mi><mml:mrow><mml:mi>′</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:mrow><mml:mn>2</mml:mn></mml:msubsup></mml:math>, (x)</p>
          <p>‘Q’ statistics follows χ<sup>2</sup><italic><sub>m</sub> d<sub>f</sub></italic> ,<italic>H</italic><sub>o</sub>  = ρ<sub><italic>u</italic>1<italic>t</italic></sub> = ρ<italic><sub>u</sub></italic><sub>2<italic>t</italic></sub> = ρ<sub><italic>u</italic>3<italic>t</italic></sub>… ρ<sub><italic>m</italic></sub> = 0, while <italic>H<sub>a</sub></italic> being some of the ρ<sub><italic>uit</italic></sub> are not equal to 0</p>
        </sec>
        <sec sec-type="4.4.3. B-P-G Heteroscedasticity" id="sec14">
          <title>4.4.3. B-P-G Heteroscedasticity:</title>
          <p><italic>u<sub>t</sub></italic><sup>2</sup> = θ<sub>1</sub>+ θ<sub>2</sub><italic>X</italic><sub>2<italic>t</italic></sub> + θ<sub>3</sub><italic>X</italic><sub>3<italic>t</italic></sub> +…..+ θ<italic><sub>k</sub> X<sub>kt</sub></italic> , (xi)</p>
          <p>BPG follows n.<italic>R</italic><sup>2</sup><italic><sub>aux</sub></italic> ~ χ<sup>2</sup><sub><italic>m</italic>–1</sub>, if the computed value is greater than the table value, reject <italic>H</italic><sub>o</sub>. (no Heteroscedasticity ‘<italic>n</italic>’ is the number of observations)</p>
        </sec>
        <sec sec-type="4.4.4. Stationarity" id="sec15">
          <title>4.4.4. Stationarity:</title>
          <p><mml:math id="M18"><mml:mi>Δ</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>∗</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>Δ</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:msub><mml:mi>β</mml:mi><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>Δ</mml:mi><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>β</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:math>	(xii)</p>
          <p>For stationarity, Unit root ADF with a single break has been applied; the break represented by intercept Dummy <italic>D</italic><sub>1<italic>i,t</italic></sub> , (β<sub>2</sub> – 1) is the coefficient which tests for variable stationarity while the coefficient <mml:math id="M19"><mml:munderover><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:msub><mml:mi>β</mml:mi><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:math> is ‘augmentation’ for removal of serial correlation and β<sub>4</sub> being the coefficient for trend variable.</p>
        </sec>
      </sec>
    </sec>
    <sec sec-type="5. Results of the study" id="sec16">
      <title>5. Results of the study</title>
      <p>In this section, we discuss the results of cointegration, causality and model diagnostics, as well as testing the validity of the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> in the Indian context. For this purpose, we make use of Tables <xref ref-type="table" rid="T1">I</xref>, <xref ref-type="table" rid="T5">II</xref> and <xref ref-type="table" rid="T6">III</xref>, as well as Fig. <xref ref-type="fig" rid="F2">2</xref>.</p>
      <fig id="F2">
        <object-id content-type="doi">10.3897/brics-econ.7.e151185.fig2</object-id>
        <object-id content-type="arpha">7D314C7A-094D-5879-9AFB-4CF0A3620CF6</object-id>
        <label>Fig. 2.</label>
        <caption>
          <p>CUSUM and CUSUMSQ Plots for the Model Stability</p>
        </caption>
        <graphic xlink:href="brics-econ-07-129-g002.jpg" id="oo_1709363.jpg">
          <uri content-type="original_file">https://binary.pensoft.net/fig/1709363</uri>
        </graphic>
      </fig>
      <p>Table <xref ref-type="table" rid="T2">1(a)</xref> shows the results of the partial ‘F’ bounds test, which indicate the presence of co-integration between the ecological footprint and the four variables: urbanisation (<abbrev xlink:title="Ln. Urbanization">URB</abbrev>), economic growth (<abbrev xlink:title="economic growth">GDP</abbrev>), trade openness (<abbrev xlink:title="Ln. Trade Openness">TO</abbrev>) and bio-capacity (<abbrev xlink:title="Ln. Bio-Capacity">BC</abbrev>). This inference was based on a computed ‘F’ value of 13.08, which was much higher than the critical upper bound of 4.9 at a 1% level of significance.</p>
      <table-wrap id="T2">
        <label>Table I(a).</label>
        <caption>
          <p>Results of the partial bounds test</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Model specification</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>‘F’ bounds (computed value)</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Inference</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">F <sub>Ln. Eco Foot</sub> / ln. <abbrev xlink:title="economic growth">GDP</abbrev>, ln. Trade Open, ln. <abbrev xlink:title="Ln. Urbanization">URB</abbrev> and ln. Bio Cap</td>
              <td rowspan="1" colspan="1">13.08</td>
              <td rowspan="1" colspan="1">Cointegration is established</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Note</italic>: Critical Table Value at 1% level: (3.6 Lower and 4.9 Upper Bound). <italic>Source</italic>: Author’s own construction</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Having proved cointegration in the Indian context, we will now move on to Table <xref ref-type="table" rid="T3">I(b)</xref>, which presents the long-run results obtained from the ARDL model. The results show that, except for trade openness, all the other variables significantly impact the ecological footprint in the long run. The three terms <abbrev xlink:title="economic growth">GDP</abbrev>(γ<sub>2</sub>), square <abbrev xlink:title="economic growth">GDP</abbrev>(γ<sub>6</sub>) and cubic <abbrev xlink:title="economic growth">GDP</abbrev>(γ<sub>7</sub>) in equation (iii), have negative, positive and negative coefficients, respectively, all of which are statistically significant, thus failing to satisfy the ‘N’-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve. Furthermore, the <abbrev xlink:title="economic growth">GDP</abbrev> and its transformed coefficients also fail to satisfy the traditional inverse U-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve, which enables us to conclude that the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model does not appear to be applicable in the Indian context. The results actually showed an inverse N-shaped curve, which, although not an <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> curve, satisfied the sufficient condition for the existence of real and distinct roots. This could be seen when considering the results obtained under the ARDL long-run model (β<sub>1</sub> = 1432.554, β<sub>2</sub> = –157.394 and β<sub>3</sub> = 5.744923). By substituting these values in the formula (2β<sub>2</sub>)<sup>2</sup> – 4(3β<sub>3</sub>)(β<sub>1</sub>), we obtain a po sitive value of +332.051.</p>
      <table-wrap id="T3">
        <label>Table I(b).</label>
        <caption>
          <p>ARDL model long-run results <italic>(Optimal model AIC (1, 0, 1, 1, 0, 0,1)</italic></p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Independent Variables</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Coefficient</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>t-Statistic</bold>
              </td>
              <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">
                <italic>C</italic>
              </td>
              <td rowspan="1" colspan="1">1432.554</td>
              <td rowspan="1" colspan="1">2.657794</td>
              <td rowspan="1" colspan="1">0.0123*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln.<italic>Eco Foot<sub>t</sub></italic><sub>-1</sub></td>
              <td rowspan="1" colspan="1">0.512534</td>
              <td rowspan="1" colspan="1">4.080791</td>
              <td rowspan="1" colspan="1">0.0005*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev><sub>t</sub></italic></td>
              <td rowspan="1" colspan="1">-157.3942</td>
              <td rowspan="1" colspan="1">-2.644544</td>
              <td rowspan="1" colspan="1">0.0127*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln.<italic>Bio Cap<sub>t</sub></italic><sub>-1</sub></td>
              <td rowspan="1" colspan="1">-0.432990</td>
              <td rowspan="1" colspan="1">2.411204</td>
              <td rowspan="1" colspan="1">0.0220*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln.<italic><abbrev xlink:title="Ln. Urbanization">URB</abbrev><sub>t-</sub></italic><sub>1</sub></td>
              <td rowspan="1" colspan="1">1.285970</td>
              <td rowspan="1" colspan="1">2.063676</td>
              <td rowspan="1" colspan="1">0.0475*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">(Ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic>)<sup>2</sup></td>
              <td rowspan="1" colspan="1">5.744923</td>
              <td rowspan="1" colspan="1">2.638694</td>
              <td rowspan="1" colspan="1">0.0129*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">(Ln.<italic><abbrev xlink:title="economic growth">GDP</abbrev></italic>)<sup>3</sup></td>
              <td rowspan="1" colspan="1">-0.069766</td>
              <td rowspan="1" colspan="1">-2.628827</td>
              <td rowspan="1" colspan="1">0.0132*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln.<italic>Trade Open<sub>t-</sub></italic><sub>1</sub></td>
              <td rowspan="1" colspan="1">-0.032410</td>
              <td rowspan="1" colspan="1">-1.115218</td>
              <td rowspan="1" colspan="1">0.2733</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>* Significant at 5 % level. Source</italic>: Author’s own construction</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Moving to the short-run results (Table <xref ref-type="table" rid="T4">I(c)</xref>), it was observed that the variables ‘urbanization’, ‘trade openness’ and ‘<abbrev xlink:title="economic growth">GDP</abbrev>’ impacted ‘ecological footprint’ at their first lags. The results also depicted a negative contemporaneous relationship between ‘ecological footprint’ and the variable ‘biocapacity’. Then, accounting for the sign of the slope coefficients of the variables, we found that the variable ‘urbanization’ was significant with a negative sign, reflecting an attempt towards sustainable urbanization. However, the same variable was positive in the long run, indicating that the country would need to make significant progress before the impact would be visible. The sign of the coefficient of the variable ‘trade openness’ was positive, reflecting the fact that India’s trade had not yet reached a level that could impact ‘ecological footprint’ in a sustainable manner.</p>
      <table-wrap id="T4">
        <label>Table I(c).</label>
        <caption>
          <p>Short-run results with error correction. Dependent variable: Δ Ln.<italic>Eco Foot</italic></p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Independent variables</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Beta coefficient</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Corresponding ‘p’ value</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln <italic>BIOCAP<sub>t</sub></italic></td>
              <td rowspan="1" colspan="1">-0.623275</td>
              <td rowspan="1" colspan="1">0.0000*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln <italic><abbrev xlink:title="Ln. Urbanization">URB</abbrev><sub>t</sub></italic></td>
              <td rowspan="1" colspan="1">-0.703427</td>
              <td rowspan="1" colspan="1">0.7739</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln <italic><abbrev xlink:title="Ln. Urbanization">URB</abbrev><sub>t–</sub></italic><sub>1</sub></td>
              <td rowspan="1" colspan="1">-5.512506</td>
              <td rowspan="1" colspan="1">0.0486*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln. <italic>Trade Open<sub>t</sub></italic></td>
              <td rowspan="1" colspan="1">-0.000876</td>
              <td rowspan="1" colspan="1">0.9584</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln. <italic>Trade Open<sub>t</sub></italic><sub>–1</sub></td>
              <td rowspan="1" colspan="1">0.035648</td>
              <td rowspan="1" colspan="1">0.0399*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Δ Ln. <italic><abbrev xlink:title="economic growth">GDP</abbrev><sub>t</sub></italic><sub>–1</sub></td>
              <td rowspan="1" colspan="1">0.374319</td>
              <td rowspan="1" colspan="1">0.0411*</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><italic><abbrev xlink:title="error adjustment coefficient">ECM</abbrev></italic> (–1)</td>
              <td rowspan="1" colspan="1">-0.0487483</td>
              <td rowspan="1" colspan="1">0.0000*</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>* Significant at 5 % level. Source</italic>: Author’s own construction</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Another important result under Table <xref ref-type="table" rid="T4">I(c)</xref> was provided by the <abbrev xlink:title="error adjustment coefficient">ECM</abbrev> (-1) coefficient, which depicted co-integration equilibrium dynamics with a value of -0.0487483. As this term was both negative and significant, it showed that the movement back towards equilibrium was stable, with a slow adjustment speed covering 4.87% disequilibrium over one period (one year). To investigate causality, we paired the ecological footprint (<abbrev xlink:title="ecological footprint">EF</abbrev>) with each of the explanatory variables: urbanization (<abbrev xlink:title="Ln. Urbanization">URB</abbrev>), economic growth (<abbrev xlink:title="economic growth">GDP</abbrev>), trade openness (<abbrev xlink:title="Ln. Trade Openness">TO</abbrev>) and bio-capacity (<abbrev xlink:title="Ln. Bio-Capacity">BC</abbrev>). The results presented in Table <xref ref-type="table" rid="T5">II</xref> reveal the presence of unidirectional causality moving from all four variables to the ecological footprint (<abbrev xlink:title="ecological footprint">EF</abbrev>). The same was also visible in the short-run results.</p>
      <table-wrap id="T5">
        <label>Table II.</label>
        <caption>
          <p>Results of VAR based causality using TY procedure</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="1" colspan="1">
                <bold>Null hypothesis</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Chi- Sq</bold>
              </td>
              <td rowspan="1" colspan="1"><bold>Prob</bold>.</td>
              <td rowspan="1" colspan="1">
                <bold>Lag Length</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Causality/ No Causality</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1"><abbrev xlink:title="economic growth">GDP</abbrev> does not cause Ecological Footprint</td>
              <td rowspan="1" colspan="1">10.51142</td>
              <td rowspan="1" colspan="1">0.0052</td>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1">Causality</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Biocapacity does not cause Ecological Footprint</td>
              <td rowspan="1" colspan="1">8.469182</td>
              <td rowspan="1" colspan="1">0.0145</td>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1">Causality</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Urbanization does not cause Ecological Footprint</td>
              <td rowspan="1" colspan="1">21.11945</td>
              <td rowspan="1" colspan="1">0.0000</td>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1">Causality</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Trade Openness does not cause Ecological Footprint</td>
              <td rowspan="1" colspan="1">7.192907</td>
              <td rowspan="1" colspan="1">0.0274</td>
              <td rowspan="1" colspan="1">3</td>
              <td rowspan="1" colspan="1">Causality</td>
            </tr>
          </tbody>
        </table>
        <table-wrap-foot>
          <fn>
            <p><italic>Source</italic> : Author’s own construction</p>
          </fn>
        </table-wrap-foot>
      </table-wrap>
      <p>Finally, Table <xref ref-type="table" rid="T6">III</xref> shows the results of the model diagnostics tests for serial correlation, heteroscedasticity and model specification, and Figure <xref ref-type="fig" rid="F2">2</xref> shows the model stability. All three diagnostics are adequately satisfied, as shown by the results in Table <xref ref-type="table" rid="T6">III</xref>, i.e. the model does not suffer from serial correlation, is homoscedastic and has no specification error. Further stationary tests, which are also included in Table <xref ref-type="table" rid="T6">III</xref>, reveal that two of the variables, Ecological Footprint and Biocapacity, are stationary at level, while the rest of the variables, <abbrev xlink:title="economic growth">GDP</abbrev>, Urbanization and Trade Openness, are stationary at first difference. The mixed nature of variable stationarity was also the reason for undertaking the ARDL co-integration model.</p>
      <table-wrap id="T6">
        <label>Table III.</label>
        <caption>
          <p>Model diagnostics</p>
        </caption>
        <table>
          <tbody>
            <tr>
              <td rowspan="6" colspan="1">
                <bold>Stationarity: Unit Root ADF with single breakpoint</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Variable</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Null hypothesis</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Break Date (Level)</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Computed ADF ‘t’ values at level (‘p’ values in parenthesis)</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Computed ADF ‘t’ values at 1st diff (‘p’ values in parenthesis)</bold>
              </td>
              <td rowspan="1" colspan="1">
                <bold>Test Results</bold>
              </td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln. Trade Openness (<abbrev xlink:title="Ln. Trade Openness">TO</abbrev>)</td>
              <td rowspan="1" colspan="1">Ln. Trade Openness (<abbrev xlink:title="Ln. Trade Openness">TO</abbrev>) has a unit root</td>
              <td rowspan="1" colspan="1">2003</td>
              <td rowspan="1" colspan="1">-4.19 (0.26)</td>
              <td rowspan="1" colspan="1">-7.39 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">Null Rejected at 1st diff</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln. Urbanization (<abbrev xlink:title="Ln. Urbanization">URB</abbrev>)</td>
              <td rowspan="1" colspan="1">Ln. Urbanization (<abbrev xlink:title="Ln. Urbanization">URB</abbrev>) has a unit root</td>
              <td rowspan="1" colspan="1">1991</td>
              <td rowspan="1" colspan="1">-3.83 (0.483)</td>
              <td rowspan="1" colspan="1">-15.03 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">Null Rejected at 1st diff</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln. Bio-Capacity (<abbrev xlink:title="Ln. Bio-Capacity">BC</abbrev>)</td>
              <td rowspan="1" colspan="1">Ln. Bio-Capacity (<abbrev xlink:title="Ln. Bio-Capacity">BC</abbrev>) has a unit root</td>
              <td rowspan="1" colspan="1">2001</td>
              <td rowspan="1" colspan="1">-6.32 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">-11.28 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">Null Rejected at level prices</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln. Ecological Footprint (<abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev>)</td>
              <td rowspan="1" colspan="1">Ln. Ecological Footprint (<abbrev xlink:title="Ln. Ecological Footprint">EFP</abbrev>) has a unit root</td>
              <td rowspan="1" colspan="1">2001</td>
              <td rowspan="1" colspan="1">-5.18 (0.018)</td>
              <td rowspan="1" colspan="1">-10.18 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">Null Rejected at level prices</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="1">Ln. <abbrev xlink:title="economic growth">GDP</abbrev> Const. 2015 prices (<abbrev xlink:title="economic growth">GDP</abbrev>)</td>
              <td rowspan="1" colspan="1">Ln. <abbrev xlink:title="economic growth">GDP</abbrev> (<abbrev xlink:title="economic growth">GDP</abbrev>) has a unit root</td>
              <td rowspan="1" colspan="1">1978</td>
              <td rowspan="1" colspan="1">-4.13 (0.29)</td>
              <td rowspan="1" colspan="1">-9.98 (&lt;0.01)</td>
              <td rowspan="1" colspan="1">Null Rejected at 1st diff</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="2">BPG Heteroscedasticity test</td>
              <td rowspan="1" colspan="4">Obs <italic>R</italic><sup>2</sup>:13.78, Prob. χ<sup>2</sup> (12): 0.315</td>
              <td rowspan="1" colspan="1">No hetero-scedasticity</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="2">Serial correlation :  Box &amp; Pierce (Q)</td>
              <td rowspan="1" colspan="4">AC(1) : ‘p’ value : 0.147 AC(5) : ‘p’ value : 0.366 AC(10): ‘p’ value:0.679</td>
              <td rowspan="1" colspan="1">No serial correlation</td>
            </tr>
            <tr>
              <td rowspan="1" colspan="2">Ramsey specification test</td>
              <td rowspan="1" colspan="4">Square of the fitted term <mml:math id="M20"><mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mover><mml:mi>Y</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:mrow><mml:mi>t</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:math> has a ‘p’ value of 0.98</td>
              <td rowspan="1" colspan="1">No specification error</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
    </sec>
    <sec sec-type="6. Conclusion and Implications" id="sec17">
      <title>6. Conclusion and Implications</title>
      <p>The present paper examined whether India’s growth–environment trade-off was sustainable. To this end, the study first tested the N-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model in the Indian context, followed by the development of a co-integrating relationship for India between an environmental proxy variable (ecological footprint) and a mix of traditional and non-traditional variables, such as <abbrev xlink:title="economic growth">GDP</abbrev>, trade openness, urbanisation and bio-capacity. The ARDL model of cointegration was applied, with causality being tested using the Toda-Yamamoto procedure. The two models were considered based on the level of integration among the variables.</p>
      <p>The results revealed a co-integrating relationship between the ‘ecological footprint’ and the other variables. These results are consistent with those of several existing studies, including research by <xref ref-type="bibr" rid="B1">Ahmed et al. (2022)</xref>, Ansari (2020) and <xref ref-type="bibr" rid="B15">Hassan et al. (2019)</xref>, among others. Furthermore, all the variables except trade openness were found to have a significant impact on the ecological footprint in the long term, with the signs of the coefficients also being as expected. However, neither the N-shaped nor the traditional inverted U-shaped <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> was proven in the study. Therefore, it can be concluded that the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> model is not applicable to the Indian context. The short-run results showed a lagged relationship between the ecological footprint and <abbrev xlink:title="economic growth">GDP</abbrev>, urbanisation and trade openness, while a negative contemporaneous relationship was visible with respect to the variable ‘biocapacity’. The causality results revealed that all variables were moving towards the ‘ecological footprint’. All the model diagnostics, i.e. serial correlation, heteroscedasticity, stability and model specification, were found to be satisfactory.</p>
      <p>These study results provide policymakers with useful insights, particularly in countries like India, which has recently made serious attempts to promote sustainable development through their programmes and initiatives. Firstly, with respect to the variable ‘urbanization’, the study found a significant but negative relationship with ‘ecological footprint’ in the short term, and a significant positive relationship in the long term. This suggests that although there is an attempt towards ‘sustainable urbanization’, it may take some time to produce visible results, which largely depends on the state’s commitment and the design of its policies. For example, a viable but challenging measure could be to restrict job opportunities around megacities. However, this requires significant investment to develop the necessary infrastructure in smaller towns, coupled with the design of policies to incentivize firms to open businesses in rural and semi-urban areas.</p>
      <p>Another significant relationship which was observed with respect to the variable “Trade Openness”, was that the variable was significantly and positively related to the ecological footprint in the short run, but insignificantly in the long run. This shows that India’s trade is still not sustainable, implying that there is not much discouragement of imports of non-renewable energy products. The state’s role is also important here, as it can encourage more trade in renewable energy through its policies, while gradually shifting towards a complete ban on non-renewable energy. However, this can only be achieved by enacting the country’s medium- to long-term priorities, which may require the postponement or sacrifice of some growth plans in order to achieve the goals of sustainable development.</p>
      <p>With regard to India’s <abbrev xlink:title="economic growth">GDP</abbrev>, the variable showed a positive relationship with the ‘ecological footprint’ in both the short and long term, thereby providing further evidence that India’s environmental compromises in pursuit of economic growth were still very much in place. However, such a result must be viewed in conjunction with other results, e.g. those obtained under trade openness, to assist in the formulation of precise, targeted policies. Furthermore, as the <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> was not established for India, the study reveals nothing about the ‘magical’ income threshold, which, according to empirical studies, is extremely important for understanding the country’s ability to reverse the negative impact of environmental degradation.</p>
      <p>With the Indian government having clearly outlined its roadmap for transforming India into a $5 trillion developed nation by 2047, many schemes have been launched to enable this to be accomplished in a sustained and inclusive manner. These initiatives include the National Solar Mission, the Faster Adoption and Manufacturing of Hybrid and Electric Vehicles (<abbrev xlink:title="Faster Adoption and Manufacturing of Hybrid and Electric Vehicles">FAME</abbrev>) scheme, the Smart Cities Mission and improved waste management systems, as well as metro rail expansion projects. India also announced at the COP26 Glasgow 2021 summit (<xref ref-type="bibr" rid="B38">UNFCCC, 2021</xref>) that it would achieve net-zero carbon emissions by 2070, suggesting that the country’s long-term development trajectory is environmentally sustainable.</p>
      <p>Before concluding, we would like to suggest a few areas for future research in this field. Firstly, researchers may wish to explore which other BRICS nations show results similar to those obtained for India in the study, i.e. the presence of a co-integrating relationship but failing on account of validity of <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> Hypothesis. This is also important in light of recent findings by <xref ref-type="bibr" rid="B35">Sun et al. (2026)</xref>, where research showed that the BRICS countries exhibit altered, inverted <abbrev xlink:title="Environmental Kuznets Curve">EKC</abbrev> N-shaped behaviour. This indicates the need for further empirical evidence on the subject. Another interesting area of research could be the application of nonlinear methodology to modelling similar relations, as the current linear or quasi-linear models with cubic and quadratic terms have been criticized in some studies due to the likelihood of heterogeneity in the findings.</p>
      <p>Non-linearity could be introduced into the present model by making NARDL modifications, which would retain the existing structure, or by using quantile methodology, which could additionally provide a comparative assessment of the BRICS countries with respect to environmental concerns. Another suggestion for researchers would be to increase the number of variables. Researchers could consider some uncommon but fine-tuned non-traditional variables, data on some of these variables is now available for research purposes. Such variables include green transport, the quality of governance, corruption and democracy, among others. This would not only have a significant impact on the quality of the research, but also make the research more interesting, meaningful and could easily be extended to cover all the BRICS. Finally, the researchers could consider extending the present sample to include more countries. For example, a good sample could comprise BRICS + countries, or this India-specific study could be extended to include some other Asian countries, as they share many features with India.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <title>7. References</title>
      <ref id="B1">
        <mixed-citation>Ahmed, Z., Ahmad, M., Rjoub, H., Kalugina, O. A., &amp; Hussain, N. (2022). Economic growth, renewable energy consumption, and ecological footprint: Exploring the role of environmental regulations and democracy in sustainable development. <italic>Sustainable Development</italic>, <italic>30</italic>(4), 595-605. <ext-link xlink:href="10.1002/sd.2251" ext-link-type="doi">https://doi.org/10.1002/sd.2251</ext-link></mixed-citation>
      </ref>
      <ref id="B2">
        <mixed-citation>Ahmed, Z., Zafar, M. W., &amp; Ali, S. (2020). Linking urbanization, human capital, and the ecological footprint in G7 countries: an empirical analysis. <italic>Sustainable Cities and Society</italic>, (<italic>55)</italic>, 102064. <ext-link xlink:href="10.1016/j.scs.2020.102064" ext-link-type="doi">https://doi.org/10.1016/j.scs.2020.102064</ext-link></mixed-citation>
      </ref>
      <ref id="B3">
        <mixed-citation>Allan, R. P., Arias, P. A., Berger, S., Canadell, J. G., Cassou, C., Chen, D., ... &amp; Zickfeld, K. (2023). Intergovernmental panel on climate change (IPCC). Summary for policymakers. <italic>Contribution of working group I to the sixth assessment report of the intergovernmental panel on climate change</italic> (pp. 3-32). Cambridge University Press</mixed-citation>
      </ref>
      <ref id="B4">
        <mixed-citation>Agarwal, A., &amp; Narain, S. (2012). Global warming in an unequal world: a case of environmental colonialism; In <italic>Handbook of climate change and India</italic> (pp. 81-88). Routledge.</mixed-citation>
      </ref>
      <ref id="B5">
        <mixed-citation>Ansari, M. A., Haider, S., &amp; Khan, N. A. (2020). Environmental Kuznets curve revisited: an analysis using ecological and material footprint. <italic>Ecological indicators</italic>, (<italic>115)</italic>, 106416. <ext-link xlink:href="10.1016/j.ecolind.2020.106416" ext-link-type="doi">https://doi.org/10.1016/j.ecolind.2020.106416</ext-link></mixed-citation>
      </ref>
      <ref id="B6">
        <mixed-citation>Baloch, M. A., Zhang, J., Iqbal, K., &amp; Iqbal, Z. (2019). The effect of financial development on ecological footprint in BRI countries: Evidence from panel data estimation. <italic>Environmental Science and Pollution Research</italic>, (26), 6199–6208. <ext-link ext-link-type="uri" xlink:href="10.1007/s11356-018-3992-9">https://doi.org/10.1007/s11356-018-3992-9</ext-link></mixed-citation>
      </ref>
      <ref id="B7">
        <mixed-citation>Bello, M. O., Solarin, S. A., &amp; Yen, Y. Y. (2018). The impact of electricity consumption on CO2emission, carbon footprint, water footprint and ecological footprint: The role of hydropower in an emerging economy. <italic>Journal of Environmental Management</italic>, (219), 218–230. <ext-link xlink:href="10.1016/j.jenvman.2018.04.101" ext-link-type="doi">https://doi.org/10.1016/j.jenvman.2018.04.101</ext-link></mixed-citation>
      </ref>
      <ref id="B8">
        <mixed-citation>Danish, Uluca k , R., Khan, S. U. D., Baloch, M. A., &amp; Li, N. (2020). Mitigation pathways toward sustainable development: Is there any trade‐off between environmental regulation and carbon emissions reduction? <italic>Sustainable Development</italic>, <italic>28</italic>(4), 813-822. <ext-link xlink:href="10.1002/sd.2032" ext-link-type="doi">https://doi.org/10.1002/sd.2032</ext-link></mixed-citation>
      </ref>
      <ref id="B9">
        <mixed-citation>Destek, M. A., Ulucak, R., &amp; Dogan, E. (2018). Analyzing the environmental Kuznets curve for the EU countries: The role of ecological footprint. <italic>Environmental Science and Pollution Research</italic>, (25), 29387–29396. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.1007/s11356-018-2911-4">https://doi.org/10.1007/s11356-018-2911-4</ext-link>.</mixed-citation>
      </ref>
      <ref id="B10">
        <mixed-citation>Farooq, U., Paul, M., &amp; Dar, A. B. (2024). On the nexus between growth and disaggregated ecological footprints-empirical evidence from India. <italic>Journal of Environmental Planning and Management</italic>, <italic>67</italic>(7), 1461-1493. <ext-link xlink:href="10.1080/09640568.2023.2171279" ext-link-type="doi">https://doi.org/10.1080/09640568.2023.2171279</ext-link></mixed-citation>
      </ref>
      <ref id="B11">
        <mixed-citation>Fotis, P., &amp; Polemis, M. (2018). Sustainable development, environmental policy and renewable energy use: A dynamic panel data approach. <italic>Sustainable Development</italic>, <italic>26</italic>(6), 726-740. <ext-link xlink:href="10.1002/sd.1742" ext-link-type="doi">https://doi.org/10.1002/sd.1742</ext-link></mixed-citation>
      </ref>
      <ref id="B12">
        <mixed-citation>Global Footprint Network. (2014). <italic>Working Guidebook to the National Footprint Accounts 2014</italic>. <ext-link xlink:href="http://www.footprintnetwork.org/images/article_ uploads/NFA 2014 Guidebook 7-14-14.pdf" ext-link-type="uri">http://www.footprintnetwork.org/images/article_ uploads/NFA 2014 Guidebook 7-14-14.pdf</ext-link></mixed-citation>
      </ref>
      <ref id="B13">
        <mixed-citation>Granger, C. W. (1969). Investigating causal relations by econometric models and cross-spectral methods. <italic>Econometrica: journal of the Econometric Society</italic>, 37(3), 424-438. <ext-link xlink:href="10.2307/1912791" ext-link-type="doi">https://doi.org/10.2307/1912791</ext-link></mixed-citation>
      </ref>
      <ref id="B14">
        <mixed-citation>Grossman, G. M., &amp; Krueger, A. B. (1995). Economic growth and the environment. <italic>The quarterly journal of economics</italic>, <italic>110</italic>(2), 353-377. <ext-link xlink:href="10.2307/2118443" ext-link-type="doi">https://doi.org/10.2307/2118443</ext-link></mixed-citation>
      </ref>
      <ref id="B15">
        <mixed-citation>Hassan, S. T., Baloch, M. A., Mahmood, N., &amp; Zhang, J. (2019). Linking economic growth and ecological footprint through human capital and biocapacity. <italic>Sustainable Cities and Society</italic>, (<italic>47)</italic>, 101516. <ext-link xlink:href="10.1016/j.scs.2019.101516" ext-link-type="doi">https://doi.org/10.1016/j.scs.2019.101516</ext-link></mixed-citation>
      </ref>
      <ref id="B16">
        <mixed-citation>Mrabet, Z., &amp; Alsamara, M. (2016). Testing the Kuznets Curve hypothesis for Qatar: A comparison between carbon dioxide and ecological footprint. <italic>Renewable and Sustainable Energy Reviews</italic>, (70), 1366–1375. <ext-link xlink:href="10.1016/j.rser.2016.12.039" ext-link-type="doi">https://doi.org/10.1016/j.rser.2016.12.039</ext-link></mixed-citation>
      </ref>
      <ref id="B17">
        <mixed-citation>Mrabet, Z., Al Samara, M., &amp; Hezam Jarallah, S. (2017). The impact of economic development on environmental degradation in Qatar. <italic>Environmental and Ecological Statistics</italic>, (24), 7–38. <ext-link xlink:href="10.1007/s10651-016-0359-6" ext-link-type="doi">https://doi.org/10.1007/s10651-016-0359-6</ext-link>.</mixed-citation>
      </ref>
      <ref id="B18">
        <mixed-citation>Murshed, M., Rahma n, M. A., Alam, M. S., Ahmad, P., &amp; Dagar, V. (2021). The nexus between environmental regulations, economic growth, and environmental sustainability: linking environmental patents to ecological footprint reduction in South Asia. <italic>Environmental Science and Pollution Research</italic>, <italic>28</italic>(36), 49967-49988. <ext-link xlink:href="10.1007/s11356-021-13381-z" ext-link-type="doi">https://doi.org/10.1007/s11356-021-13381-z</ext-link></mixed-citation>
      </ref>
      <ref id="B19">
        <mixed-citation>Nathaniel, S. P., Adeleye, N., &amp; Adedoyin, F. F. (2021). Natural resource abundance, renewable energy, and ecological footprint linkage in MENA countries. <italic>Estudios de economía aplicada</italic>, <italic>39</italic>(2), 1-17. <ext-link xlink:href="10.25115/eea.v39i2.3927" ext-link-type="doi">https://doi.org/10.25115/eea.v39i2.3927</ext-link></mixed-citation>
      </ref>
      <ref id="B20">
        <mixed-citation>Nathaniel, S., Anyanwu, O., &amp; Shah, M. (2020 a). Renewable energy, urbanization, and ecological footprint in the Middle East and North Africa region. <italic>Environmental Science and Pollution Research</italic>, (<italic>27)</italic>, 14601-14613. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.1007/s11356-020-08017-7">https://doi.org/10.1007/s11356-020-08017-7</ext-link></mixed-citation>
      </ref>
      <ref id="B21">
        <mixed-citation>Nathaniel, S., Nwodo, O., Sharma, G., &amp; Shah, M. (2020 b). Renewable energy, urbanization, and ecological footprint linkage in CIVETS. <italic>Environmental Science and Pollution Research</italic>, (<italic>27)</italic>, 19616-19629. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.1007/s11356-020-08466-0">https://doi.org/10.1007/s11356-020-08466-0</ext-link></mixed-citation>
      </ref>
      <ref id="B22">
        <mixed-citation>Nkengfack, H., &amp; Fotio, H. K. (2019). Energy consumption, economic growth and carbon emissions: Evidence from the top three emitters in Africa. <italic>Modern Economy</italic>, <italic>10</italic>(1), 52-71. <ext-link xlink:href="10.4236/me.2019.101004" ext-link-type="doi">https://doi.org/10.4236/me.2019.101004</ext-link></mixed-citation>
      </ref>
      <ref id="B23">
        <mixed-citation>Numan, U., Ma, B., Meo, M. S., &amp; Bedru, H. D. (2022). Revisiting the N-shaped environmental Kuznets curve for economic complexity and ecological footprint. <italic>Journal of Cleaner Production</italic>, (<italic>365)</italic>, 132642. <ext-link xlink:href="10.1016/j.jclepro.2022.132642" ext-link-type="doi">https://doi.org/10.1016/j.jclepro.2022.132642</ext-link></mixed-citation>
      </ref>
      <ref id="B24">
        <mixed-citation>Ozturk, I., Al-Mulali, U., &amp; Saboori, B. (2016). Investigating the environmental Kuznets curve hypothesis: The role of tourism and ecological footprint. <italic>Environmental Science and Pollution Research</italic>, (23), 1916–1928. <ext-link xlink:href="10.1007/s11356-015-5447-x" ext-link-type="doi">https://doi.org/10.1007/s11356-015-5447-x</ext-link></mixed-citation>
      </ref>
      <ref id="B25">
        <mixed-citation>Radmehr, R., Shayanmehr, S., Ali, E. B., Ofori, E. K., Jasińska, E., &amp; Jasiński, M. (2022). Exploring the nexus of renewable energy, ecological footprint, and economic growth through globalization and human capital in g7 economics. <italic>Sustainability</italic>, <italic>14</italic>(19), 12227. <ext-link xlink:href="10.3390/su141912227" ext-link-type="doi">https://doi.org/10.3390/su141912227</ext-link></mixed-citation>
      </ref>
      <ref id="B26">
        <mixed-citation>Rashid, A., Irum, A., Malik, I. A., Ashraf, A., Rongqiong, L., Liu, G., et al. (2018). Ecological footprint of Rawalpindi; Pakistan’s first footprint analysis from urbanization perspective. <italic>Journal of Cleaner Production</italic>, (170), 362–368. <ext-link xlink:href="10.1016/j.jclepro.2017.09.186" ext-link-type="doi">https://doi.org/10.1016/j.jclepro.2017.09.186</ext-link>.</mixed-citation>
      </ref>
      <ref id="B27">
        <mixed-citation>Shahani, R., &amp; Bansal, A. (2021). An Econometric Investigation of Dynamic Linkages Between CO2 Emissions, Energy Consumption, and Economic Growth: A Case of India and China. <italic>Jindal Journal of Business Research</italic>, <italic>10</italic>(1), 107-127. <ext-link xlink:href="10.1177/22786821211002252" ext-link-type="doi">https://doi.org/10.1177/22786821211002252</ext-link></mixed-citation>
      </ref>
      <ref id="B28">
        <mixed-citation>Shahbaz, M., Balsalobre, D., &amp; Shahzad, S. J. H. (2019). The influencing factors of CO2 emissions and the role of biomass energy consumption: statistical experience from G-7 countries. <italic>Environmental Modeling &amp; Assessment</italic>, <italic>24</italic>(2), 143-161. <ext-link xlink:href="10.1007/s10666-018-9620-8" ext-link-type="doi">https://doi.org/10.1007/s10666-018-9620-8</ext-link></mixed-citation>
      </ref>
      <ref id="B29">
        <mixed-citation>Sharif, A., Baris-Tuzemen, O., Uzuner, G., Ozturk, I., &amp; Sinha, A. (2020). Revisiting the role of renewable and non-renewable energy consumption on Turkey’s ecological footprint: Evidence from Quantile ARDL approach. <italic>Sustainable Cities and Society</italic>, (<italic>57)</italic>, 102138. <ext-link xlink:href="10.1016/j.scs.2020.102138" ext-link-type="doi">https://doi.org/10.1016/j.scs.2020.102138</ext-link></mixed-citation>
      </ref>
      <ref id="B30">
        <mixed-citation>Sharma, R., Sinha, A., &amp; Kautish, P. (2021). Does renewable energy consumption reduce ecological footprint? Evidence from eight developing countries of Asia. <italic>Journal of Cleaner Production</italic>, (<italic>285)</italic>, 124867. <ext-link xlink:href="10.1016/j.jclepro.2020.124867" ext-link-type="doi">https://doi.org/10.1016/j.jclepro.2020.124867</ext-link></mixed-citation>
      </ref>
      <ref id="B31">
        <mixed-citation>Sharvini, S. R., Noor, Z. Z., Chong, C. S., Stringer, L. C., &amp; Yusuf, R. O. (2018). Energy consumption trends and their linkages with renewable energy policies in East and Southeast Asian countries: Challenges and opportunities. <italic>Sustainable Environment Research</italic>, <italic>28</italic>(6), 257-266. <ext-link xlink:href="10.1016/j.serj.2018.08.006" ext-link-type="doi">https://doi.org/10.1016/j.serj.2018.08.006</ext-link></mixed-citation>
      </ref>
      <ref id="B32">
        <mixed-citation>Sinha, A., Shahbaz, M., &amp; Balsalobre, D. (2018). <italic>N-shaped environmental Kuznets curve: a note on validation and falsification</italic>. <ext-link xlink:href="https://mpra.ub.uni-muenchen.de/99313/" ext-link-type="uri">https://mpra.ub.uni-muenchen.de/99313/</ext-link></mixed-citation>
      </ref>
      <ref id="B33">
        <mixed-citation>Solarin, S. A., &amp; Al-Mulali, U. (2018). Influence of foreign direct investment on indicators of environmental degradation. <italic>Environmental Science and Pollution Research</italic>, <italic>25</italic>(25), 24845-24859. https:// doi.org/10.1007/s11356-018-2562-5.</mixed-citation>
      </ref>
      <ref id="B34">
        <mixed-citation>Stern, N. (2008). The economics of climate change. <italic>American economic review</italic>, <italic>98</italic>(2), 1-37. <ext-link xlink:href="10.1257/aer.98.2.1" ext-link-type="doi">https://doi.org/10.1257/aer.98.2.1</ext-link></mixed-citation>
      </ref>
      <ref id="B35">
        <mixed-citation>Sun, W., Zhang, S., &amp; Uddin, I. (2026). Sustainable development in BRICS economies: Linking digitalization, higher education, and energy efficiency under the N-shaped Environmental Kuznets Curve. <italic>Energy Reports</italic>, (<italic>15)</italic>, 109048. <ext-link xlink:href="10.1016/j.egyr.2026.109048" ext-link-type="doi">https://doi.org/10.1016/j.egyr.2026.109048</ext-link></mixed-citation>
      </ref>
      <ref id="B36">
        <mixed-citation>Toda, H. Y., &amp; Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. <italic>Journal of econometrics</italic>, 66(1–2), 225–250. <ext-link xlink:href="10.1016/0304-4076(94)01616-8" ext-link-type="doi">https://doi.org/10.1016/0304-4076(94)01616-8</ext-link></mixed-citation>
      </ref>
      <ref id="B37">
        <mixed-citation>Ulucak, R., &amp; Bilgili, F. (2018). A reinvestigation of EKC model by ecological footprint measurement for high, middle and low income countries. <italic>Journal of cleaner production</italic>, (<italic>188)</italic>, 144-157. <ext-link xlink:type="simple" ext-link-type="doi" xlink:href="10.1016/j.jclepro.2018.03.191">https://doi.org/10.1016/j.jclepro.2018.03.191</ext-link></mixed-citation>
      </ref>
      <ref id="B38">
        <mixed-citation>UNFCCC. (2021). The Glasgow Climate Pact–Key Outcomes from COP26. <italic>United Nations</italic>.</mixed-citation>
      </ref>
      <ref id="B39">
        <mixed-citation>Wang, Y., Kang, L., Wu, X., &amp; Xiao, Y. (2013). Estimating the environmental Kuznets curve for ecological footprint at the global level: A spatial econometric approach. <italic>Ecological Indicators</italic>, (34), 15–21. <ext-link xlink:href="10.1016/j.ecolind.2013.03.021" ext-link-type="doi">https://doi.org/10.1016/j.ecolind.2013.03.021</ext-link></mixed-citation>
      </ref>
      <ref id="B40">
        <mixed-citation>Zagheni, E. (2011). The leverage of demographic dynamics on carbon dioxide emissions: does age structure matter?. <italic>Demography</italic>, <italic>48</italic>(1), 371-399. <ext-link xlink:href="10.1007/s13524-010-0004-1" ext-link-type="doi">https://doi.org/10.1007/s13524-010-0004-1</ext-link></mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
