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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1074172</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1074172</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The detrimental effects of dirty energy, foreign investment, and corruption on environmental quality: New evidence from Indonesia</article-title>
<alt-title alt-title-type="left-running-head">Pujiati et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1074172">10.3389/fenvs.2022.1074172</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Pujiati</surname>
<given-names>Amin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yanto</surname>
<given-names>Heri</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1747571/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dwi Handayani</surname>
<given-names>Bestari</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ridzuan</surname>
<given-names>Abdul Rahim</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2060014/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Borhan</surname>
<given-names>Halimahton</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shaari</surname>
<given-names>Mohd Shahidan</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Economics</institution>, <institution>Universitas Negeri Semarang</institution>, <addr-line>Semarang</addr-line>, <country>Indonesia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Faculty of Business and Management</institution>, <institution>Universiti Teknologi MARA</institution>, <addr-line>Shah Alam</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Faculty of Economics and Business</institution>, <institution>Universitas Negeri Malang</institution>, <addr-line>Malang</addr-line>, <country>Indonesia</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Institute for Big Data Analytics and Artificial Intelligence</institution>, <institution>Universiti Teknologi MARA</institution>, <addr-line>Shah Alam</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Centre for Economic Development and Policy</institution>, <institution>Universiti Malaysia Sabah</institution>, <addr-line>Kota Kinabalu</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Institute for Research on Socio Economic Policy</institution>, <institution>Universiti Teknologi MARA</institution>, <addr-line>Shah Alam</addr-line>, <country>Malaysia</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Faculty of Business and Communication</institution>, <institution>Universiti Malaysia Perlis</institution>, <addr-line>Arau</addr-line>, <country>Malaysia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1199049/overview">Mobeen Ur Rehman</ext-link>, Shaheed Zulfikar Ali Bhutto Institute of Science and Technology (SZABIST), United Arab Emirates</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1465993/overview">Ugur Korkut Pata</ext-link>, Osmaniye Korkut Ata University, T&#xfc;rkiye</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2093130/overview">Nor Ermavati Hussain</ext-link>, University of Malaysia Terengganu, Malaysia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Amin Pujiati, <email>amin.pujiati@mail.unnes.ac.id</email>; Abdul Rahim Ridzuan, <email>Rahim670@uitm.edu.my</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1074172</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Pujiati, Yanto, Dwi Handayani, Ridzuan, Borhan and Shaari.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Pujiati, Yanto, Dwi Handayani, Ridzuan, Borhan and Shaari</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The alarming trend of CO<sub>2</sub> emissions in Indonesia merits a reinvestigation into the determinants in a bid to conserve the environment. In the literature, in Indonesia, three potential determinants, namely, energy, foreign direct investment, and corruption, have been identified to harm the environment. However, their effects are still undetermined. Thus, this study aims to examine the relationships between corruption (COR), energy use (ENY), foreign direct investment (FDI), and CO<sub>2</sub> emissions in Indonesia. The autoregressive distributed lag (ARDL) approach was used to analyse data for 36 years, from 1984 to 2020. The results reveal that corruption contributes to greater environmental degradation in the short run, while foreign direct investment does not. However, in the long run, corruption and energy use can positively affect environmental degradation, but foreign direct investment can reduce environmental degradation in Indonesia. This study also found two other factors, namely, economic growth and urbanisation, which can affect the environment with mixed findings. These findings are indispensable for policy formulation in Indonesia as Indonesia is a rapidly developing country that depends on good environmental quality to ensure future growth and sustainable development.</p>
</abstract>
<kwd-group>
<kwd>CO<sub>2</sub> emissions</kwd>
<kwd>foreign direct investment</kwd>
<kwd>corruption</kwd>
<kwd>energy use</kwd>
<kwd>environmental quality</kwd>
</kwd-group>
<contract-num rid="cn001">B/2453/UN37.1.7/KS/2022</contract-num>
<contract-sponsor id="cn001">Universitas Negeri Semarang<named-content content-type="fundref-id">10.13039/100019786</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In the last few decades, developing countries have progressed rapidly. They have transformed from agriculture to industrialisation, boosting economic growth and improving people&#x2019;s living standards. In Indonesia, the change of power from the old order regime to the new order has transformed Indonesia&#x2019;s economic policy. Since the 1980s, Indonesia has sought to boost economic growth, leading to a higher energy use and rapid urbanisation. Moreover, the country has successfully attracted higher foreign direct investment (FDI) through numerous government incentives and tax reforms. <xref ref-type="fig" rid="F1">Figure 1</xref> shows the growth of Indonesia&#x2019;s gross domestic product (<italic>per capita</italic> 2005) from 1984 to 2020. The value of GDP <italic>per capita</italic> in 1984 stood at 1,204 US dollars, and it tripled in 2020 to 3,757 US dollars. This condition shows a significant increase in the prosperity and welfare of the people. The rapid growth in the industrial and manufacturing sectors that contributed towards the country&#x2019;s GDP, however, has caused detrimental effects on the environmental quality in Indonesia (<xref ref-type="bibr" rid="B48">Pujiati et al., 2020</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Trend of per capita (constant price 2005) in Indonesia (US dollar), 1984&#x2013;2020.</p>
</caption>
<graphic xlink:href="fenvs-10-1074172-g001.tif"/>
</fig>
<p>The development strategies that Indonesia implemented to accelerate the economic performance were supported by population growth and the improvement of urban communities. This, however, has raised an important issue: environmental pollution (<xref ref-type="bibr" rid="B57">Sehrawa et al., 2015</xref>). The impact of unmoderated development and technological progress has pushed the country to face sustainable development challenges, such as environmental degradation, climate change, and exploitation of natural resources (<xref ref-type="bibr" rid="B35">Koshta et al., 2021</xref>). <xref ref-type="bibr" rid="B52">Rahman (2020)</xref> stated that economic growth requires additional production from an industry, and the additional energy consumption is unavoidable, which drives carbon emissions. <xref ref-type="bibr" rid="B8">Alam (2022)</xref> argued that the requirements for an increased economic growth undermined the environmental quality in developing countries, leaving a long-lasting impact on development and industrialisation. Although the Indonesian government has introduced sustainable development plans, the level of carbon emission still increases as the country continues to rely on dirty energies, such as coal and fossil fuels, to keep up with the increasing demand.</p>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> shows an increase of 2.09% in CO<sub>2</sub> emissions from 1984 to 2020. The value of CO<sub>2</sub> emissions in 1984 was only 0.7 metrics <italic>per capita</italic> and reached 2.16 metrics <italic>per capita</italic> in 2020. Population growth and urbanisation can increase CO<sub>2</sub> emissions in developing countries (<xref ref-type="bibr" rid="B11">Ansari et al., 2019</xref>) as more people are attracted to urban areas because of their development (<xref ref-type="bibr" rid="B49">Pujiati et al., 2019</xref>). Due to urbanisation, the country has developed better infrastructure that attracts more foreign investors to run their businesses there. However, in the presence of foreign investment, environmental degradation may either increase or decrease.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Trend of CO<sub>2</sub> emission in Indonesia, 1984&#x2013;2020 (metrics <italic>per capita</italic>).</p>
</caption>
<graphic xlink:href="fenvs-10-1074172-g002.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B25">Danmaraya and Danlami (2021)</xref> stated that the driving factor for CO<sub>2</sub> emissions is foreign direct investment, which has different impacts on environmental quality through composition, engineering, and scale effects. The composition effect concludes that FDI can increase or decrease pollution by changing the economic patterns. However, the effect of scale states that FDI harms the environment by increasing the size of the country&#x2019;s economy. Meanwhile, the engineering effect states that foreign companies can adopt more environmental friendly technologies and improve the environment by reducing emissions. <xref ref-type="bibr" rid="B38">Munir and Ameer (2019)</xref> stated that FDI brings inappropriate technology, which is the primary source of pollution. Capital inflows into a country can have a major impact on the environment, depending on the type of technology used and rules and regulations on environmental protection (<xref ref-type="bibr" rid="B41">Panait et al., 2022</xref>). Many researchers have found that FDI positively affects CO<sub>2</sub> emissions in lower-middle countries (<xref ref-type="bibr" rid="B29">Hassaballa, 2014</xref>; <xref ref-type="bibr" rid="B43">Paramati et al., 2016</xref>; <xref ref-type="bibr" rid="B24">Danlami et al., 2019</xref>). However, the findings of studies that investigated the relationship between FDI and environmental degradation in Indonesia remain inconclusive. In addition, good governance can also affect the environmental quality.</p>
<p>Sustainable development must be supported by good governance. In pursuing long-term sustainable growth, state institutions should adopt efficient practices and implement ethical and responsible actions to achieve long-term strategic goals. Community supervision is essential to avoid unethical and irresponsible actions. Corruption is a global problem with power that can affect all countries and all sectors of activity (<xref ref-type="bibr" rid="B58">Sekrafi and Sghaier, 2017</xref>). A high level of corruption indicates incompetent governance. The issue of corruption and environmental degradation in Indonesia has become a major concern in recent years. The prevalent corruption has resulted in the high exploitation of natural resources and massive environmental damage. The use of dirty energy may increase in the presence of corruption. Muslihudin et al. (2018) explained that there are three situations when corruption can happen and thus harm the environment: 1) when licencing from entrepreneurs to regional heads, 2) when granting environmental impact analysis licences, and 3) when imposing fees on entrepreneurs that can cause higher costs. Indonesia&#x2019;s Corruption Perceptions Index (CPI) in 1984 was 1.00 and increased to 3.00 in 2020, indicating greater corruption and thus merits serious attention. <xref ref-type="bibr" rid="B26">Ganda (2020)</xref> found that the corrupt behaviour using two indices, namely, the corruption index and corruption rankings, has worsened environmental sustainability in 16 countries in Southern Africa. <xref ref-type="bibr" rid="B23">Cole and Fredriksson (2009)</xref> found that countries with weak environmental institutions will attract more polluting industries that encourage environmental damage.</p>
<p>Due to the mixed findings on the impact of energy use, FDI, and corruption on the environment in other countries, it is still important to reinvestigate the effects of energy use, foreign direct investment, and corruption on the environment in Indonesia from 1984 to 2020. The structure of this paper consists of <xref ref-type="sec" rid="s1">Section 1</xref>: Introduction, <xref ref-type="sec" rid="s2">Section 2</xref>: Literature review, <xref ref-type="sec" rid="s3">Section 3</xref>: Methodology, <xref ref-type="sec" rid="s4">Section 4</xref>: Results and discussion, and <xref ref-type="sec" rid="s5">Section 5</xref>: Conclusions and policy implications.</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>On a theoretical level, <xref ref-type="bibr" rid="B12">Antweiler et al.&#x2019;s (2004)</xref> model indicates that, through specialisation and exchanges, rich countries concerned about the quality of their environment should relocate polluting activities to developing countries, which are generally characterised by less stringent environmental regulations. Numerous researchers from various countries or regions have discovered a link between economic growth and environmental degradation. The results vary depending on the sample size and the time period studied (<xref ref-type="bibr" rid="B34">Koengkan et al., 2019a</xref>; <xref ref-type="bibr" rid="B22">Chishti et al., 2021</xref>; <xref ref-type="bibr" rid="B50">Qin et al., 2021</xref>). Many researchers have used the environmental Kuznets curve (EKC) hypothesis to investigate the relationship between economic growth and environmental quality (<xref ref-type="bibr" rid="B65">Yilanci and Pata, 2020</xref>). The theory&#x2019;s validity has been demonstrated in several countries, including the United States (<xref ref-type="bibr" rid="B13">Atasoy, 2017</xref>), Pakistan (<xref ref-type="bibr" rid="B53">Rehman et al., 2021a</xref>), Malaysia (<xref ref-type="bibr" rid="B40">Nurgazina et al., 2021</xref>), China (<xref ref-type="bibr" rid="B45">Pata and Caglar, 2021</xref>), and the OECD (<xref ref-type="bibr" rid="B20">Cao et al., 2022</xref>). On the other hand, some studies have been unable to establish a link between economic growth and environmental degradation. For example, <xref ref-type="bibr" rid="B66">Zambrano-Monserrate et al. (2018)</xref> investigated the Peruvian nexus and discovered that the findings do not support the EKC hypothesis. Another study on South Korea by <xref ref-type="bibr" rid="B33">Koc and Bulus (2020)</xref> found evidence of an N-shaped relationship between economic growth and environmental degradation, invalidating the EKC theory.</p>
<p>Some studies have investigated the relationship between energy consumption and environmental degradation, particularly CO<sub>2</sub> emissions (<xref ref-type="bibr" rid="B32">Khan, Hou and Le, 2021</xref>). <xref ref-type="bibr" rid="B64">Wasti and Zaidi (2020)</xref> found a link between energy consumption and environmental degradation in Kuwait. <xref ref-type="bibr" rid="B2">Adebayo and Akinsola (2021)</xref> revealed a bidirectional link between environmental degradation and energy consumption in Thailand using the wavelet coherence method, classical Granger, and Toda&#x2013;Yamamoto causality approaches. In addition, <xref ref-type="bibr" rid="B4">Ahmed et al. (2017)</xref>, <xref ref-type="bibr" rid="B14">Aye and Edoja (2017)</xref>, and <xref ref-type="bibr" rid="B39">Musah et al. (2021)</xref> identified energy consumption as a major contributor to CO<sub>2</sub> emissions in five South Asian countries, 31 emerging economies, and North Africa, respectively.</p>
<p>Because the ARDL model has produced significant results in other fields, many scholars have applied it to the study of environmental economics to investigate the long-term and short-term relationships between related variables. <xref ref-type="bibr" rid="B18">Bosah et al. (2021)</xref> examined the panel data from 15 countries on energy consumption, economic growth, urbanisation, and carbon emissions. The findings indicated that urbanisation has no significant impact on environmental quality and that energy consumption will harm the environment in the long and short run. <xref ref-type="bibr" rid="B9">Ali et al. (2017)</xref> and <xref ref-type="bibr" rid="B47">Pata (2018)</xref> investigated the relationship between urbanisation and CO<sub>2</sub> emissions in Singapore and Turkey. However, their findings are inconsistent as there is a negative relationship between urbanisation and CO<sub>2</sub> emissions in Singapore, and there is a positive relationship in Turkey. With Japanese research subjects, <xref ref-type="bibr" rid="B6">Ahmed et al. (2021)</xref> examined the impact of globalisation, economic growth, and financial development on a carbon footprint. The findings revealed that an increased energy consumption and financial development would substantially increase the carbon footprint. In contrast, the relationship between the economy and carbon footprint exhibited an inverted U-shaped curve, confirming the validity of EKC in Japan.</p>
<p>The existing literature on the relationship between corruption and environmental sustainability is active (<xref ref-type="bibr" rid="B26">Ganda, 2020</xref>; <xref ref-type="bibr" rid="B63">Wang, Zhao and Chen, 2020</xref>; <xref ref-type="bibr" rid="B62">Usman, 2022</xref>). According to popular beliefs, corruption can, directly and indirectly, contribute to environmental degradation (<xref ref-type="bibr" rid="B63">Wang, Zhao, and Chen 2020</xref>). <xref ref-type="bibr" rid="B62">Usman (2022)</xref>, for example, used a dynamic ARDL simulation technique to investigate the effects of social and economic factors on the environmental quality in Nigeria. Although economic growth exacerbated environmental degradation in Nigeria, corruption and internal conflict mitigated environmental degradation by reducing the investment and growth. <xref ref-type="bibr" rid="B63">Wang, Zhao, and Chen (2020)</xref> used the system GMM on provincial panel data in China&#x2019;s industry from 2005 to 2015 to establish that corruption influences CO<sub>2</sub> emissions through environmental policy distortions and low monitoring levels.</p>
<p>Furthermore, <xref ref-type="bibr" rid="B28">Habib, Abdelmonen, and Khaled (2020)</xref> investigated how corruption affects CO<sub>2</sub> emissions and economic growth in Africa using a panel quantile regression method. The findings were as follows: 1) a higher level of corruption in Africa; 2) corruption is negatively related to CO<sub>2</sub> emissions in lower CO<sub>2</sub>-emitting countries; 3) corruption is not a significant enough factor in higher CO<sub>2</sub>-emitting countries to explain changes in CO<sub>2</sub> emissions; and 4) corruption is positively affected by CO<sub>2</sub> emissions. Because the positive effect outweighs the negative effect, the overall effect of corruption is positive.</p>
<p>Regarding the relationship between FDI and CO<sub>2</sub> emissions, <xref ref-type="bibr" rid="B5">Ahmed et al. (2022)</xref> found that developing countries, such as most African countries, adopted convenient environmental regulations for a variety of reasons, including the fact that economic growth, rather than environmental quality, is the primary goal of these countries. The study found that FDI increases CO<sub>2</sub> emissions and contributes to environmental degradation. This assertion was supported by the study of <xref ref-type="bibr" rid="B1">Abdouli and Hammami (2017)</xref> and <xref ref-type="bibr" rid="B46">Pata et al. (2022)</xref>, which found that FDI positively impacts the environmental quality of developed countries while having a negative impact on the environmental quality of poor or developing countries. Using green technology, FDI, and environmental regulation, <xref ref-type="bibr" rid="B17">Behera and Sethi (2022)</xref> discovered that environmental regulation significantly affects green technology innovation and that FDI causes green technology innovation to decrease.</p>
<p>Several gaps have been found in previous studies. First, it is hard to find studies focussing on the impact of foreign investment, energy used, and corruption in Indonesia. Thus, this research&#x2019;s findings could contribute to the body of knowledge. In addition, this research uses the most recent sample data and sophisticated techniques to provide some insight into the robustness of the findings. The summary of empirical studies as discussed in this section can be view in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<p>The IPAT model provides an equation that articulates the idea of the environmental impact (I), which is dependent on three factors, namely, population (P), affluence (A), and technology (T). The model can be written as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>According to the model, environmental degradation increases as the affluence or wealth of a nation increases. Countries with rapid economic development will usually focus on boosting their economic activity, which leads to higher environmental degradation. Moreover, population growth can also contribute to harming the environment. This might be due to the higher use of non-renewable resources, such as oil and coal. Boosting a country&#x2019;s economy usually entails using low-cost technologies, which subsequently results in a lower quality of the environment.</p>
<p>Previous researchers, such as <xref ref-type="bibr" rid="B37">Mahmood et al. (2020)</xref>, used CO<sub>2</sub> emissions as a proxy for environmental degradation, population growth as a proxy for population, GDP as a proxy for affluence, and energy use as a proxy for technology. Inspired by this model, this research reintroduces the model by including other important variables. The general functional form of the environmental quality model for Indonesia is derived as follows:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mn>2</mml:mn>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<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:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>U</mml:mi>
<mml:mi>B</mml:mi>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
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</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mo>,</mml:mo>
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<label>(2)</label>
</disp-formula>where <italic>CO2t</italic> represents the environmental quality, <italic>GDPt</italic> represents the economic growth, <italic>CORt</italic> represents corruption, <italic>ENYt</italic> represents the energy used, <italic>FDIt</italic> represents foreign direct investment inflows, and <italic>UBGt</italic> represents the urbanisation growth.</p>
<p>The variables in Eq. <xref ref-type="disp-formula" rid="e3">3</xref> are transformed into log-linear forms (LN). The log version of the variables will indicate the short-run and long-run elasticity. According to <xref ref-type="bibr" rid="B59">Shahbaz et al. (2013)</xref>, the log version of the tested variables can produce a consistent and reliable estimation. The log version of the model derived from Eq. <xref ref-type="disp-formula" rid="e2">2</xref> can be seen as follows:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
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<mml:mi>N</mml:mi>
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<mml:mi>O</mml:mi>
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<mml:mi>D</mml:mi>
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<mml:mi>U</mml:mi>
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<mml:mo>.</mml:mo>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>A higher economic development (LNGDP) is expected to increase environmental degradation (LNCO2) or exhibit positive signs, especially in developing countries. This expected sign can be seen in past studies conducted in Malaysia, such as <xref ref-type="bibr" rid="B54">Ridzuan et al. (2018)</xref> and <xref ref-type="bibr" rid="B55">Ridzuan et al. (2019)</xref>. Next, LNCOR is expected to have either a positive or negative relationship with LNCO2, depending on the government rules and integrity when managing their country. Then, LNFDI is expected to have either a positive or negative link with LNCO2 for Indonesia. Therefore, the presence of the pollution haven hypothesis is validated if the expected sign between LNFDI and LNCO2 is positive. This outcome can be seen from previous studies such as <xref ref-type="bibr" rid="B27">Gorus and Aslan (2019)</xref> and <xref ref-type="bibr" rid="B19">Caglar (2020)</xref>. In contrast, if the sign is negative, it validates the existence of the pollution halo hypothesis, which was also proven by <xref ref-type="bibr" rid="B51">Rafindadi et al. (2018)</xref> and <xref ref-type="bibr" rid="B15">Balsalobre-Lorente et al. (2019a)</xref>. The pollution haven hypothesis, addressed by <xref ref-type="bibr" rid="B61">Terzi and Pata (2019)</xref> and <xref ref-type="bibr" rid="B44">Pata and Amit, (2021)</xref>, is a situation where foreign investors decide to invest more money into a country with less stringent environmental policies. The validation of the pollution halo hypothesis, on the other hand, is the result of the engagement of foreign companies to use better management practices and advanced technologies that result in a clean environment in the host countries. Similar to LNGDP, energy used also exhibits a positive relationship with LNCO2. Higher energy generated from the combustion of fossil fuels will lead to a higher release of carbon emissions in the country. Regarding urbanisation, some studies suggest the increased population caused by urbanisation triggers an intensive urban economic activity, which leads to an increased demand for energy and carbon emissions (<xref ref-type="bibr" rid="B10">Ali et al., 2019</xref>). However, some studies suggest urbanisation brings about economies of scale and improves public infrastructure, reducing carbon emissions (<xref ref-type="bibr" rid="B36">Lin and Li, 2020</xref>). No consistent conclusions have been reached.</p>
<p>The ARDL model considers each of the variables in turn as the dependent variables based on the unrestricted error correction model (UECM) are stated as follows.<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
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<label>(4)</label>
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<label>(5)</label>
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<disp-formula id="e6">
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<label>(6)</label>
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<disp-formula id="e7">
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<label>(8)</label>
</disp-formula>where &#x2206; is the first difference operator and <italic>ut</italic> is the white-noise disturbance term. Residuals for the UECM should be serially uncorrelated, and the model should be stable. This validation can be addressed with a series of diagnostic tests shown in the analysis section. The final version of the model represented in Eq. <xref ref-type="disp-formula" rid="e4">4</xref>&#x2013;Eq. <xref ref-type="disp-formula" rid="e8">8</xref> previously can also be viewed as an ARDL of order (a b c d e f g h i). The model indicates that environmental degradation (LNCO2) can be influenced and explained by its past values. Hence, it involves other disturbances or shocks. From the estimation of UECM, the long-run elasticity is the coefficient of the one-lagged explanatory variable (multiplied by a negative sign) divided by the coefficient of the one-lagged dependent variable.</p>
<p>The coefficients of the first differenced variables captured the short-run effects. The null hypothesis of no co-integration in the long-run relationship is defined by</p>
<p>H0: &#x03B8;0&#x003D;&#x03B8;1&#x003D;&#x03B8;2&#x003D;&#x03B8;3&#x003D;&#x03B8;4&#x003D;&#x03B8;5&#x003D;0 (there is no long-run relationship) is tested against the alternative of</p>
<p>H1: &#x03B8;0&#x2260;&#x03B8;1&#x2260;&#x03B8;2&#x2260; &#x03B8;3&#x2260;&#x03B8;4&#x2260;&#x03B8;5&#x2260;0 (a long-run relationship exists), employing the familiar F-test, suppose the computed F-statistic is less than the lower-bound critical value. In that case, we do not reject the null hypothesis of no co-integration. However, suppose the computed F-statistics is greater than the upper-bound critical value of at least the 10% significant level. In that case, we reject the null hypothesis of no co-integration.</p>
<p>In this work, we aimed to test the dynamic linkages between the potential indicators for Indonesia&#x2019;s environmental quality, where the previous literature using panel data analysis has presented mixed and ambiguous evidence for each nation (<xref ref-type="bibr" rid="B31">Hossain, 2011</xref>). To get around some of the issues with panel data analysis, we used the time series analysis in our study. Furthermore, to deliver reliable results, country-specific analyses like this study are required (<xref ref-type="bibr" rid="B21">Chandran et al., 2010</xref>). In addition, our study strongly emphasises the causal links between FDI and CO<sub>2</sub> emissions, which gives us less insight into the pollution haven theory. According to the previous literature, FDI may increase global CO<sub>2</sub> emissions if environmental regulations are loosened in developing nations (<xref ref-type="bibr" rid="B42">Pao &#x26; Tsai, 2011</xref>).</p>
<p>This study uses the annual data ranging from 1984 up to 2020 (36&#xa0;years) as a sample period. A summary of the data and its sources is shown in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of the literature review.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Author</th>
<th align="center">Finding</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<xref ref-type="bibr" rid="B66">Zambrano-Monserrate et al. (2018)</xref>
</td>
<td align="left">There is no evidence of the EKC hypothesis</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B33">Koc and Bulus (2020)</xref>
</td>
<td align="left">Evidence of an N-shaped relationship between economic growth and environmental degradation invalidates the EKC theory</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B64">Wasti and Zaidi (2020)</xref>
</td>
<td align="left">There is a link between energy consumption and environmental degradation in Kuwait</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B2">Adebayo and Akinsola (2021)</xref>
</td>
<td align="left">There is a bidirectional link between environmental degradation and energy consumption in Thailand using the wavelet coherence method, classical Granger, and Toda&#x2013;Yamamoto causality approaches</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B4">Ahmed et al. (2017)</xref>, <xref ref-type="bibr" rid="B14">Aye and Edoja (2017)</xref>, and <xref ref-type="bibr" rid="B39">Musah et al. (2021)</xref>
</td>
<td align="left">Energy consumption is a major contributor to CO<sub>2</sub> emissions in five South Asian countries, 31 emerging economies, and North Africa</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B18">Bosah et al. (2021)</xref>
</td>
<td align="left">Urbanisation has no significant impact on environmental quality and that energy consumption will harm the environment in both the long and short term</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B9">Ali et al. (2017)</xref> and <xref ref-type="bibr" rid="B47">Pata (2018)</xref>
</td>
<td align="left">Their findings differed; urbanisation in Singapore inhibits carbon emissions, whereas urbanisation in Turkey promotes carbon emissions</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B6">Ahmed et al. (2021)</xref>
</td>
<td align="left">Increased energy consumption and financial development would substantially increase the carbon footprint. In contrast, the relationship between the economy and carbon footprint exhibited an inverted U-shaped curve, confirming the validity of EKC in Japan</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B62">Usman (2022)</xref>
</td>
<td align="left">Used a dynamic ARDL simulation technique to investigate the effects of social and economic factors on environmental quality in Nigeria, while economic growth exacerbated environmental degradation in Nigeria; corruption and internal conflict mitigated environmental degradation by reducing investment and growth</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B63">Wang, Zhao and Chen (2020)</xref>
</td>
<td align="left">Corruption influences CO<sub>2</sub> emissions through environmental policy distortion and low monitoring levels</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B28">Habib, Abdelmonen and Khaled (2020)</xref>
</td>
<td align="left">1) A higher level of corruption in Africa; 2) corruption is negatively related to CO<sub>2</sub> emissions in lower CO<sub>2</sub>-emitting countries; 3) corruption is not a significant enough factor in higher CO<sub>2</sub>-emitting countries to explain changes in CO<sub>2</sub> emissions; and 4) corruption is positively affected by CO<sub>2</sub> emissions. Because the positive effect outweighs the negative effect, the overall effect of corruption is positive</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B5">Ahmed et al. (2022)</xref>
</td>
<td align="left">The study found that FDI increases CO<sub>2</sub> emissions and contributes to environmental degradation and found that developing countries, such as most African countries, adopted convenient environmental regulations for various reasons, including the fact that economic growth, rather than environmental quality, is the primary goal of these countries.</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B1">Abdouli and Hammami (2017)</xref>
</td>
<td align="left">FDI positively impacts the environmental quality of developed countries while harming the environmental quality of poor or developing countries</td>
</tr>
<tr>
<td align="left">
<xref ref-type="bibr" rid="B17">Behera and Sethi (2022)</xref>
</td>
<td align="left">Environmental regulation significantly affects green technology innovation, and FDI causes green technology innovation to decrease</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Sources of data.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="left">Description</th>
<th align="left">Source</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LNCO2</td>
<td align="left">CO<sub>2</sub> emissions (metric tons <italic>per capita</italic>)</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">LNGDP</td>
<td align="left">GDP <italic>per capita</italic> (constant 2015 US$)</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">LNCOR</td>
<td align="left">Corruption Perceptions Index</td>
<td align="left">Transparency International</td>
</tr>
<tr>
<td align="left">LNFDI</td>
<td align="left">Foreign direct investment, net inflows (% of GDP)</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">LNENY</td>
<td align="left">Energy use (kg of oil equivalent <italic>per capita</italic>)</td>
<td align="left">WDI</td>
</tr>
<tr>
<td align="left">LNUBG</td>
<td align="left">Urban population growth (annual %)</td>
<td align="left">WDI</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: WDI stands for World Development Indicators 2022.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4">
<title>4 Result and discussion</title>
<p>The stationarity of the data needs to be tested to identify the right co-integration analysis for time series data. The stationarity analysis is performed by using ADF and PP unit roots. The outcomes can be viewed in <xref ref-type="table" rid="T3">Table 3</xref>. Based on the ADF unit root, it is found that all variables are not stationary at any level. However, all variables are found to be stationary at a 1 or 5% significant level at the first difference. We proceed to the PP unit root test to reconfirm the stationarity of each variable. The PP unit root is more powerful than the ADF unit root. Overall, we found that LNENY is stationary at the 1% significant level, while the remaining variables are not significant. However, as we proceed to the first difference, all variables are found to be significant either at a 1 or 5% significant level. The mix stationarity outcome fulfils the condition for ARDL testing for the model proposed in this study.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Testing the ADF and PP unit roots.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Level I(0)</th>
<th colspan="2" align="center">ADF unit root</th>
<th colspan="2" align="center">PP unit root</th>
</tr>
<tr>
<th align="center">Intercept</th>
<th align="center">Intercept and trend</th>
<th align="center">Intercept</th>
<th align="center">Intercept and trend</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LNCO2</td>
<td align="center">&#x2212;1.320 (0)</td>
<td align="center">&#x2212;2.712 (0)</td>
<td align="center">&#x2212;1.649 (12)</td>
<td align="center">&#x2212;2.711 (2)</td>
</tr>
<tr>
<td align="left">LNGDP</td>
<td align="center">&#x2212;.434 (0)</td>
<td align="center">&#x2212;2.426 (1)</td>
<td align="center">&#x2212;.434 (0)</td>
<td align="center">&#x2212;1.948 (1)</td>
</tr>
<tr>
<td align="left">LNCOR</td>
<td align="center">&#x2212;1.448 (0)</td>
<td align="center">&#x2212;1.959 (0)</td>
<td align="center">&#x2212;1.762 (2)</td>
<td align="center">&#x2212;2.380 (2)</td>
</tr>
<tr>
<td align="left">LNENY</td>
<td align="center">&#x2212;2.206 (0)</td>
<td align="center">&#x2212;1.931 (0)</td>
<td align="center">&#x2212;4.925 (18)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;1.769 (8)</td>
</tr>
<tr>
<td align="left">LNFDI</td>
<td align="center">&#x2212;2.106 (0)</td>
<td align="center">&#x2212;2.211 (0)</td>
<td align="center">&#x2212;2.310 (2)</td>
<td align="center">&#x2212;2.436 (2)</td>
</tr>
<tr>
<td align="left">LNUBG</td>
<td align="center">&#x2212;0.233 (0)</td>
<td align="center">&#x2212;2.246 (0)</td>
<td align="center">&#x2212;.191 (3)</td>
<td align="center">&#x2212;2.246 (0)</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">First difference I(1)</th>
<th colspan="2" align="center">ADF unit root</th>
<th colspan="2" align="center">PP unit root</th>
</tr>
<tr>
<th align="center">Intercept</th>
<th align="center">Intercept and Trend</th>
<th align="center">Intercept</th>
<th align="center">Intercept and Trend</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LNCO2</td>
<td align="center">&#x2212;5.207 (1)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.269 (1)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.834 (9)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;7.688 (12)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LNGDP</td>
<td align="center">&#x2212;4.234 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.142 (0)&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.216 (2)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.119 (2)&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LNCOR</td>
<td align="center">&#x2212;4.148 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.085 (0)&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.162 (1)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;4.099 (1)&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LNENY</td>
<td align="center">&#x2212;6.222 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.834 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;6.222 (1)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;7.439 (12)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LNFDI</td>
<td align="center">&#x2212;5.358 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.276 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.359 (1)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.277 (1)&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">LNUBG</td>
<td align="center">&#x2212;5.917 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.839 (0)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.923 (3)&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;5.842 (3)&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;&#x2a;&#x2a;and &#x2a;&#x2a; are 1% and 5% significant levels, respectively. The optimal lag length is selected automatically using the Schwarz information Criterion (SIC) for the ADF test, and the bandwidth has been selected by using the Newey&#x2013;West method for the PP test.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>In examining the long-run relationship between CO<sub>2</sub> and its determinants, we proceed to the bounds-testing approach for all possible models, and the results are reported in <xref ref-type="table" rid="T4">Table 4</xref>. The computed F-statistics for CO<sub>2</sub>, GDP, COR, and FDI equations suggest the rejection of the null hypothesis of no co-integration. The F statistic from this model is significant between the 1% and 10% significant level. However, the null hypothesis is not rejected for other equations. We can proceed to the long-run and short-run estimations based on the main model, and the following analysis will be solely performed on this model.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Detecting the presence of long-run co-integration based on F-statistics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Model</th>
<th align="center">Max lag</th>
<th align="center">Lag order</th>
<th align="center">F-statistic</th>
<th align="center">Result</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">LNCO2 &#x3d; f(LNGDP, LNCOR, LNENY, LNFDI, LNUBG)</td>
<td align="center">(4,4)</td>
<td align="center">(1,1,0,1,0,0)</td>
<td align="center">5.929&#x2a;&#x2a;&#x2a;</td>
<td align="center">Co-integration</td>
</tr>
<tr>
<td align="left">LNGDP &#x3d; f(LNCO2, LNCOR, LNENY, LNFDI, LNUBG)</td>
<td align="center">(4,4)</td>
<td align="center">(1,3,0,1,1,0)</td>
<td align="center">3.534&#x2a;</td>
<td align="center">Co-integration</td>
</tr>
<tr>
<td align="left">LNCOR &#x3d; f(LNCO2, LNGDP, LNENY, LNFDI, LNUBG)</td>
<td align="center">(4,4)</td>
<td align="center">(4,3,4,4,4,4)</td>
<td align="center">3.854&#x2a;&#x2a;</td>
<td align="center">Co-integration</td>
</tr>
<tr>
<td align="left">LNENY &#x3d; f(LNCO2, LNGDP, LNCOR, LNFDI, LNUBG)</td>
<td align="center">(4,4)</td>
<td align="center">(1,0,0,0,0,0)</td>
<td align="center">1.400</td>
<td align="center">No co-integration</td>
</tr>
<tr>
<td align="left">LNFDI &#x3d; f(LNCO2, LNGDP, LNCOR, LNENY, LNUBG)</td>
<td align="center">(4,4)</td>
<td align="center">(4,3,4,4,4,4)</td>
<td align="center">5.724&#x2a;&#x2a;&#x2a;</td>
<td align="center">Co-integration</td>
</tr>
<tr>
<td align="left">LNUBG &#x3d; f(LNCO2, LNGDP, LNCOR, LNENY, LNFDI)</td>
<td align="center">(2,2)</td>
<td align="center">(1,0,0,2,0,0)</td>
<td align="center">2.833</td>
<td align="center">No co-integration</td>
</tr>
<tr>
<td colspan="2" align="center">Critical values for F-statistics</td>
<td align="center">Lower I(0)</td>
<td align="center">Upper (1)</td>
<td align="left"/>
</tr>
<tr>
<td colspan="2" align="center">10%</td>
<td align="center">2.26</td>
<td align="center">3.35</td>
<td align="left"/>
</tr>
<tr>
<td colspan="2" align="center">5%</td>
<td align="center">2.62</td>
<td align="center">3.79</td>
<td align="left"/>
</tr>
<tr>
<td colspan="2" align="center">1%</td>
<td align="center">3.41</td>
<td align="center">4.68</td>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: 1. k is the number of variables, and it is equivalent to 5.2. &#x2a;, &#x2a;&#x2a;, and &#x2a;&#x2a;&#x2a; represent 10%, 5%, and 1% levels of significance, respectively. Estimation is based on the Schwarz Criterion (SC).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Before proceeding to the primary outcomes, we must ensure that the model we run has passed all diagnostic tests. Among the diagnostic tests we performed are serial correlation, functional form, normality, heteroscedasticity, and stability model consisting of CUSUM and CUSUMSQ tests. Based on <xref ref-type="table" rid="T5">Table 5</xref>, it is confirmed that the carbon emissions model that we focus on in this study has passed all the diagnostic tests, as shown in <xref ref-type="table" rid="T4">Table 4</xref>. The probability value for the first four tests is more than the 10% significance level, thus confirming that the model is free from serial correlation problems, is functioning well, is normally distributed, and has no heteroscedasticity problem.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Diagnostic tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">(A) Serial correlation [<italic>p</italic>-value]</th>
<th align="center">(B) Functional form [<italic>p</italic>-value]</th>
<th align="center">(C) Normality [<italic>p</italic>-value]</th>
<th align="center">(D) Heteroscedasticity [<italic>p</italic>-value]</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0.356</td>
<td align="center">1.241</td>
<td align="center">1.249</td>
<td align="center">0.878</td>
</tr>
<tr>
<td align="center">[0.703]</td>
<td align="center">[0.275]</td>
<td align="center">[0.535]</td>
<td align="center">[0.547]</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note. 1. &#x2a;&#x2a; represent 5% significant levels.</p>
</fn>
<fn>
<p>2. The diagnostic test is performed as follows: A, Lagrange multiplier test for residual serial correlation; B, Ramsey&#x2019;s RESET test using the square of the fitted values; C, based on a test of skewness kurtosis of residuals; D, based on the regression of squared fitted values.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>We also performed CUSUM and CUSUMSQ tests to ensure the stability of the model. Based on <xref ref-type="fig" rid="F3">Figure 3</xref>, the blue line is in between the two red lines, thus confirming that the model is reliable.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>CUSUM and CUSUMSQ.</p>
</caption>
<graphic xlink:href="fenvs-10-1074172-g003.tif"/>
</fig>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> shows the main analysis based on short- and long-run elasticities. As for the short-run outcomes, we found out that both LNGDP and LNCOR have a positive association with environmental degradation in Indonesia. Statistically, 1% increase in LNGDP and LNCOR leads to 1.28% and 0.01% increase in carbon emissions releases. Rapid development in the country causes more pollution than governance. Meanwhile, other variables such as LNENY, LNFDI, and LNUBG are not significant at any level, thus not affecting environmental degradation in the short run. The estimated lagged ECT in ARDL regression for this model appears to be negative and statistically significant. Based on the ECT value, the adjustment speed was obtained at 0.731. For instance, this value indicated that more than 73% of adjustments were completed within less than a year, and all the variables converge; thus, the outcome for long-run elasticities will provide a meaningful input for the policymakers.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Short-run and long-run elasticities.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Short-run elasticity</th>
<th colspan="2" align="center">Long-run elasticity</th>
</tr>
<tr>
<th align="center">Variable</th>
<th align="center">Coefficient</th>
<th align="center">Variable</th>
<th align="center">Coefficient</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">D(LNGDP)</td>
<td align="center">1.275&#x2a;&#x2a;&#x2a;</td>
<td align="center">LNGDP</td>
<td align="center">0.309&#x2a;</td>
</tr>
<tr>
<td align="center">D(LNCOR)</td>
<td align="center">0.064&#x2a;</td>
<td align="center">LNCOR</td>
<td align="center">0.088&#x2a;</td>
</tr>
<tr>
<td align="center">D(LNENY)</td>
<td align="center">&#x2212;0.018</td>
<td align="center">LNENY</td>
<td align="center">0.639&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">D(LNFDI)</td>
<td align="center">&#x2212;0.021</td>
<td align="center">LNFDI</td>
<td align="center">&#x2212;0.029&#x2a;</td>
</tr>
<tr>
<td align="center">D(LNUBG)</td>
<td align="center">&#x2212;0.170</td>
<td align="center">LNUBG</td>
<td align="center">&#x2212;0.232</td>
</tr>
<tr>
<td align="center">CointEq(-1)</td>
<td align="center">&#x2212;0.731&#x2a;&#x2a;&#x2a;</td>
<td align="center">C</td>
<td align="center">&#x2212;6.039&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: 1. &#x2a;&#x2a;&#x2a;, &#x2a;&#x2a;, and &#x2a; are 1%, 5%, and 10% significant levels, respectively.</p>
</fn>
<fn>
<p>2. &#x394; refers to difference.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The long-run elasticities are explained as follows: the relationship between economic growth and CO<sub>2</sub> emissions is positive and significant at 10%. Keeping other things the same, a 1% increase in economic growth increases CO<sub>2</sub> emissions by 0.31%. This outcome is similar to the previous research performed by <xref ref-type="bibr" rid="B59">Shahbaz et al. (2013)</xref> and <xref ref-type="bibr" rid="B60">Sugiawan and Managi (2016)</xref>. Our empirical findings indicate that economic growth is the second largest contributor to CO<sub>2</sub> emissions in the case of Indonesia. Our empirical exercise indicates that energy use (LNENY) is the largest contributor to carbon emission in the case of Indonesia. A 1% increase in LNENY leads to a 0.64% increase in carbon emissions. Indonesia&#x2019;s economy still relies heavily on coal as a cheaper energy source for economic development; however, it has degraded the climate quality (<xref ref-type="bibr" rid="B56">Ridzuan et al., 2021</xref>; <xref ref-type="bibr" rid="B3">Ahmed F. et al., 2022</xref>; <xref ref-type="bibr" rid="B30">Hongqiao et al., 2022</xref>). Systemic corruption in Indonesia has a long-term worsening effect on environmental degradation. Statistically, a 1% increase in LNCOR led to an increase of 0.09% in carbon emission. This finding supports the previous findings by <xref ref-type="bibr" rid="B7">Akali et al. (2021)</xref>, where corruption positively affects environmental pollution. The rise of corruption may lead to an extension of economic activities by short-circuiting the bureaucratic process, which triggers more resource utilisation and leads to environmental destruction.</p>
<p>Furthermore, the weakening to implement environmental regulations because of corruption is one of the main reasons for lacking environmental targets (<xref ref-type="bibr" rid="B16">Balsalobre-Lorente et al., 2019b</xref>). The corruption level could hinder the country&#x2019;s progress towards achieving environmental sustainability. The only favoured outcome from this model is LNFDI. The results reveal that LNFDI has a negative relationship with LNCO2. Technically, a 1% increase in LNFDI decreases LNCO2 emissions by 0.03%. This outcome validates the halo effect hypothesis, where a higher level of foreign direct investment focussing on green and clean technology helps the nation curb industrial emissions. This result is in line with the studies performed by <xref ref-type="bibr" rid="B51">Rafindadi et al. (2018)</xref>.</p>
</sec>
<sec id="s5">
<title>5 Conclusion and policy implications</title>
<p>This study aims to analyse the dynamic linkages between GDP, corruption, energy use, FDI, and urbanisation on CO<sub>2</sub> emissions in Indonesia. This study uses an autoregressive distributed lag (ARDL) to measure the short-run and long-run elasticities among the tested variables. Based on the short run, the variables that affect CO<sub>2</sub> emissions in Indonesia are GDP and corruption. GDP and corruption have a positive effect on CO<sub>2</sub> emissions. Energy use, foreign investment, and urbanisation have no effect on CO<sub>2</sub> emissions. In the long run, the variables that affect CO<sub>2</sub> emissions are GDP, corruption, energy use, and FDI. Urbanisation, in the long run, however, does not affect CO<sub>2</sub> emissions. GDP, corruption, and energy use have a positive effect, while FDI harms CO<sub>2</sub> emissions in Indonesia.</p>
<p>The findings of this study are important for policy implications. Economic development in Indonesia can lead to environmental degradation. This problem is common in most countries as pursuing sustainable development is difficult. However, it is possible if the government is serious about achieving the sustainability that the United Nations has promoted. Policymakers must ensure that new development projects implemented by developers must follow environmental regulations, or they have to consider green development in their projects. The imposition of environmental taxes is ineffective as developers can still harm the environment if willing to pay higher taxes.</p>
<p>The heavy reliance on dirty energies should come to an end. Policymakers must emphasise exploring clean and renewable energies such as solar, biomass, and tidal energies to generate electricity, thus reducing the consumption of dirty energies. The government needs to continue to create awareness in the public of how to use energy efficiently and organise a sustainable development campaign to reduce CO<sub>2</sub> emission levels in Indonesia.</p>
<p>Corruption is a serious problem in Indonesia and harms environmental quality. The government must ensure that integrity and professionalism are top priorities for government officials. Those who have the power to approve any projects should be monitored closely by government agencies to avoid any wrongdoings, such as corruption.</p>
<p>Lastly, the Indonesian government should provide various incentives to foreign companies in order to encourage them to use green technology. However, those who harm the environment may need to pay taxes.</p>
<p>This study has its limitations. For example, it uses a limited number of independent variables to explain CO<sub>2</sub> emissions in Indonesia. Therefore, future research needs to consider other potential variables affecting CO<sub>2</sub> emissions, such as education (<xref ref-type="bibr" rid="B12">Antweiler et al., 2004</xref>) and local culture.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>AR and AP worked together on data collection and statistical analysis, and contributed to the writing of the manuscript. The rest of the authors helped refine each section of the manuscript. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This research project is a collaboration between two universities: Universiti Teknologi MARA, Malaysia, and Universitas Negeri Semarang, Indonesia, under the Strategic Partnership Research grant. The authors wish to extend their gratitude to Universiti Teknologi MARA (100-RMC5/3/SRPINT(010/2022) and Universitas Negeri Semarang (B/2453/UN37.1.7/KS/2022) for financing this research project.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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