<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    jhrss
   </journal-id>
   <journal-title-group>
    <journal-title>
     Journal of Human Resource and Sustainability Studies
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2328-4862
   </issn>
   <issn publication-format="print">
    2328-4870
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/jhrss.2024.123036
   </article-id>
   <article-id pub-id-type="publisher-id">
    jhrss-136359
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Business 
     </subject>
     <subject>
       Economics
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Does the Relationship between Energy Consumption and Greenhouse Gas (CO
    <sub>2</sub>) Emissions in Sub-Saharan Africa Follow a Linear Path?
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       François
      </surname>
      <given-names>
       Likondzabeka
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Antoine
      </surname>
      <given-names>
       Ngakosso
      </given-names>
     </name>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Hermann Clachel
      </surname>
      <given-names>
       Lekana
      </given-names>
     </name>
    </contrib>
   </contrib-group> 
   <aff id="affnull">
    <addr-line>
     aLaboratory of Economic and Social Analysis and Research, Faculty of Economic Sciences, Marien Ngouabi University, Brazzaville, Republic of the Congo
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     08
    </day> 
    <month>
     07
    </month>
    <year>
     2024
    </year>
   </pub-date> 
   <volume>
    12
   </volume> 
   <issue>
    03
   </issue>
   <fpage>
    686
   </fpage>
   <lpage>
    699
   </lpage>
   <history>
    <date date-type="received">
     <day>
      30,
     </day>
     <month>
      July
     </month>
     <year>
      2024
     </year>
    </date>
    <date date-type="published">
     <day>
      24,
     </day>
     <month>
      July
     </month>
     <year>
      2024
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      24,
     </day>
     <month>
      September
     </month>
     <year>
      2024
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    The objective of this paper is to determine the inflection point of greenhouse gas (CO
    <sub>2</sub>) emissions in sub-Saharan African countries over the period 2000 to 2018. The strong and weak sustainability theories were used as a framework to analyze this paper. The panel data approach was used, and fixed and random effect models were used. The results obtained show that energy consumption and CO
    <sub>2</sub> emissions have a non-linear relationship, justifying the existence of an inflection point. These results suggest that, due to a certain level of energy consumption and CO
    <sub>2</sub> emissions of concern, African countries modify their consumption trajectory by adopting much cleaner energies and by boosting cooperation in environmental preservation.
   </abstract>
   <kwd-group> 
    <kwd>
     Energy Consumption
    </kwd> 
    <kwd>
      CO
     <sub>2</sub> Emissions
    </kwd> 
    <kwd>
      Kuznets Curve
    </kwd> 
    <kwd>
      Panel Data
    </kwd> 
    <kwd>
      Sub-Saharan Africa
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>The problem of CO<sub>2</sub> emissions is now considered a major environmental policy priority, given its weight, which represents nearly three-quarters of the <xref ref-type="bibr" rid="scirp.136359-14">
     IPCC (2022)
    </xref> gases. Thus, <xref ref-type="bibr" rid="scirp.136359-31">
     Stern (2016)
    </xref>, <xref ref-type="bibr" rid="scirp.136359-20">
     Nordhaus (2019)
    </xref> and the <xref ref-type="bibr" rid="scirp.136359-14">
     IPCC (2022)
    </xref> argue that the reduction of CO<sub>2</sub> emissions has beneficial effects on economic growth, well-being, and sustainable development.</p>
   <p>Indeed, the latest <xref ref-type="bibr" rid="scirp.136359-14">
     IPCC report (2022)
    </xref> shows that the increase in CO<sub>2</sub> emissions has negative consequences not only on the climate but also on the economy and the well-being of populations. This is the case of disturbances and/or global warming that are accompanied by droughts, causing famine, reduced productivity of farmers, the retreat of forests or repeated floods. To mitigate these harmful effects, the international community has set the goal of limiting CO<sub>2</sub> emissions to 1000 giga tons by 2100. But, to achieve this, energy consumption must be reduced since, according to the <xref ref-type="bibr" rid="scirp.136359-12">
     IEA (2014)
    </xref> and more recently <xref ref-type="bibr" rid="scirp.136359-5">
     Boudjella and Mugumya (2018)
    </xref> and the <xref ref-type="bibr" rid="scirp.136359-14">
     IPCC (2022)
    </xref>, energy consumption is responsible for two-thirds of CO<sub>2</sub> emissions worldwide. This justifies all the interest given to the relationship between energy consumption and CO<sub>2</sub> emissions, which is the subject of this work.</p>
   <p>In the literature, the relationship between energy consumption and CO<sub>2</sub> emissions is at the center of a multitude of reflections. Two points of view clash on the theoretical level. On the one hand, there are the proponents of weak sustainability who admit that the effects of energy consumption on CO<sub>2</sub> emissions can be resolved over time with innovations, complementarity or substitutability of factors creating inflection points (<xref ref-type="bibr" rid="scirp.136359-30">
     Solow, 1974
    </xref>; <xref ref-type="bibr" rid="scirp.136359-32">
     Stiglitz, 1974
    </xref>; <xref ref-type="bibr" rid="scirp.136359-23">
     Romer, 1986
    </xref>; <xref ref-type="bibr" rid="scirp.136359-3">
     Barro, 1990
    </xref>; <xref ref-type="bibr" rid="scirp.136359-29">
     Shafik &amp; Bandyopadhyay, 1992
    </xref>; <xref ref-type="bibr" rid="scirp.136359-28">
     Selden &amp; Song, 1994
    </xref>; <xref ref-type="bibr" rid="scirp.136359-11">
     Grossman &amp; Krueger, 1995
    </xref>). On the other hand, the proponents of strong sustainability admit that the action of energy is irreversible and, therefore, consumption must be stopped (<xref ref-type="bibr" rid="scirp.136359-10">
     Georgescu-Roegen, 1979
    </xref>; <xref ref-type="bibr" rid="scirp.136359-21">
     Passet, 1979
    </xref>; <xref ref-type="bibr" rid="scirp.136359-6">
     Daly, 1994
    </xref>). On the empirical level, we also find groups of works on the one hand that validate weak sustainability.</p>
   <p>On the empirical side, a series of works have been carried out to verify the different approaches to sustainability. Some of them validate strong sustainability, while others validate weak sustainability. Regarding the first work, we can mention those of <xref ref-type="bibr" rid="scirp.136359-37">
     Zhang and Lin (2012)
    </xref> who analyzed the impact of economic indicators on pollution in Chinese regions over the period from 1995 to 2010. They use a fixed effect model and the generalized least squares method. The main result of this study is that population intensity, GDP, industrial production and energy consumption significantly impact CO<sub>2</sub> emission. Also, using a fixed effect model and ordinary least square (OLS) method, <xref ref-type="bibr" rid="scirp.136359-22">
     Rafindadi et al. (2014)
    </xref>, in their quest on the economic factors likely to cause pollution in Asia Pacific countries over the period of 1975 to 2012, obtained the result that energy consumption positively and significantly impacts on CO<sub>2</sub> emissions. In the same line, <xref ref-type="bibr" rid="scirp.136359-25">
     Salahuddin and Gow (2019)
    </xref> analyzed the effect of energy consumption and economic growth on environmental quality in Qatar over the period 1980-2016. They use the ARDL model and the Toda Yamamoto causality test to estimate and verify the level of causality. They obtain that in the long run, energy consumption and economic growth positively influence environmental quality and FDI impacts negatively. With regard to causality, they find that there is a bidirectional relationship between the variables. It is noted that in all these works, the consumption of energy is a source of pollution and, therefore, of the destruction of the biosphere (<xref ref-type="bibr" rid="scirp.136359-10">
     Georgescu-Roegen, 1979
    </xref>). Regarding the second group, we can cite the work of <xref ref-type="bibr" rid="scirp.136359-34">
     Usman et al. (2019)
    </xref>, who also validated the existence of a CEK in the case of South Africa over the period 1971 to 2014. After the FMLOS estimation, they confirmed the negative effects of energy consumption on environmental degradation. The low long-run elasticity rejects the hypothesis of CEK existence but indicates, however, that the CO<sub>2</sub> emission rate stabilizes in the long run in rich countries. On the other hand, <xref ref-type="bibr" rid="scirp.136359-1">
     Abid (2016)
    </xref> showed that the Kuznets hypothesis was not proven in the context of the 25 sub-Saharan African states in the period from 1996 to 2010 using the OLS and generalized moments methods (GMM). We note that in this second part, the work validates the vision of weak sustainability with the appearance of turning points that confirm the awareness over time or the use of less polluting factors. <xref ref-type="bibr" rid="scirp.136359-19">
     Nkengfack et al. (2019)
    </xref> analyzed the effect of economic growth on carbon dioxide emissions in sub-Saharan Africa: Decomposition into scale, composition and technical effects. After estimation, they obtained that economic growth positively influences the environment through the channel of scale and composition effects while the technical effect reduces it.</p>
   <p>The theoretical and empirical overview shows that the debate is far from over between energy consumption and CO<sub>2</sub> emissions. The two hypotheses (weak and strong sustainability) remain relevant, especially in recent years, which have been marked by a renewed interest in environmental issues both at the global level and in Africa, which today represent a major challenge in the fight for environmental preservation. It is also noted that the works that have addressed the theme in the context of Africa, do so in the case of a country (<xref ref-type="bibr" rid="scirp.136359-26">
     Sarkodie &amp; Ozturk, 2020
    </xref>), a sub-region (<xref ref-type="bibr" rid="scirp.136359-34">
     Usman et al., 2019
    </xref>) or a region (<xref ref-type="bibr" rid="scirp.136359-1">
     Abid, 2016
    </xref>). Thus, this paper differs from the previous ones in that it increases the value of energy consumption to capture possible changes in economic structure, as it has been proven that a high level of development and accompanies a high energy consumption (<xref ref-type="bibr" rid="scirp.136359-13">
     IEA, 2021
    </xref>). In addition, this paper makes a regional study of Sub-Saharan Africa and a comparative study of its different sub-regions to show the sub-regional disparities that Sub-Saharan Africa is experiencing.</p>
   <p>Indeed, Africa constitutes an interesting field of investigation for the relationship between energy consumption and CO<sub>2</sub> emissions for at least two reasons.</p>
   <p>The first is the increase in energy consumption and CO<sub>2</sub> emissions on the continent in recent years. In this regard, in 2000, 2010 and 2014, energy consumption was 653,601, 685,183 and 688,450 kg of oil equivalent per capita, respectively, an increase over the period (2000-2014) of 5.33%. Similarly, considering the above-mentioned period, CO<sub>2</sub> emissions amounted to 564526.616, 746611.912 and 822819.034 kilotons, an increase of 45.75%. Such developments require special attention. The second is that the African continent has always been committed to the management of environmental problems. Indeed, since the accession to independence of most African countries, several actions in the direction of environmental protection have been taken, including, but not limited to, the African Convention on the Conservation of Nature and Natural Resources in 1968, and the African Ministerial Conference on the Environment (AMCEN), which was established in December 1985 to promote regional cooperation to meet the environmental challenges facing the region (<xref ref-type="bibr" rid="scirp.136359-2">
     AMCEN, 2021
    </xref>). These facts show the extent to which the African continent in general and sub-Saharan Africa in particular have made the protection of the environment their main concern.</p>
   <p>In view of the above, it is appropriate to say that the African continent in general and particularly sub-Saharan Africa, which is aiming at the industrialization of its economy with a rapidly growing population (2.7% per year, <xref ref-type="bibr" rid="scirp.136359-35">
     Word Bank, 2021
    </xref>), should experience an increasing evolution of its energy consumption needs which would also be accompanied by significant CO<sub>2</sub> emissions. In light of these observations, the question underlying the problem of this work is the following: can the hypothesis of weak sustainability be verified in African countries south of the Sahara? In other words, is there an inflection point in the relationship between energy consumption and CO<sub>2</sub> emissions? Thus, the objective is to determine the inflection point of greenhouse gas (CO<sub>2</sub>) emissions in African countries south of the Sahara.</p>
   <p>In addition to the first and last sections, which are respectively the introduction, conclusion and policy implications, the remainder of this work is presented as follows: the second section is devoted to the methodology, and the third to the presentation and discussion of the results.</p>
  </sec><sec id="s2">
   <title>2. Methodology</title>
   <p>To achieve the objective of this paper, we build on the work of <xref ref-type="bibr" rid="scirp.136359-9">
     Fan et al. (2006)
    </xref> and <xref ref-type="bibr" rid="scirp.136359-16">
     Kpemoua (2016)
    </xref>. These authors were inspired by the theoretical model of the STIRPAT approach or the Kaya equation (<xref ref-type="bibr" rid="scirp.136359-15">
     Kaya, 1990
    </xref>), originally developed by <xref ref-type="bibr" rid="scirp.136359-8">
     Ehrlich and Holden (1971)
    </xref>. Indeed, the Kaya equation aims at explaining the determinants of CO<sub>2</sub> emissions. It is formalized as follows:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         I 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         P 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <msub> 
       <mi>
         A 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <msub> 
       <mi>
         T 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math> (1)</p>
   <p>where, (I): the environmental impact, (P): the size of the population, (A): the level of wealth expressed in income per capita, (T): a factor representing technology. Accoing to Kaya, environmental impact is captured by GHG emissions and is decomposed into four factors: population, GDP per capita, energy intensity (i.e., primary energy consumption per unit of GDP) and carbon intensity (i.e., the level of GHG emissions per unit of primary energy consumption). The Kaya equation can be written in the following initial form:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           1 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        P 
      </mi> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         B 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           2 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mi>
         L 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           3 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         C 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           4 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
     </mrow> 
    </math>. (2)</p>
   <p>Based on <xref ref-type="bibr" rid="scirp.136359-7">
     Dinda’s (2004)
    </xref> critique, several variables can also influence GHG emissions. Thus, we can note by X the set of variables that influence GHGs. Taking this input into account, the equation can be written:</p>
   <p>
    <xref ref-type="bibr" rid="scirp.136359-"></xref> 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           1 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        P 
      </mi> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         B 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           2 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mi>
         L 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           3 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         C 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           4 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mi>
         X 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           a 
         </mi> 
         <mi>
           i 
         </mi> 
        </msub> 
       </mrow> 
      </msubsup> 
     </mrow> 
    </math> (3)</p>
   <p>with X: a set of variables consisting of: Urbanization (Ur), Technology (T), Trade openness (Ou) and other variables represented by a constant ( 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
     </mrow> 
    </math>). Hence X can be written:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         X 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mi>
        U 
      </mi> 
      <msubsup> 
       <mi>
         r 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           5 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mi>
         T 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           6 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        O 
      </mi> 
      <msubsup> 
       <mi>
         u 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           7 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
     </mrow> 
    </math> (4)</p>
   <p>For <xref ref-type="bibr" rid="scirp.136359-24">
     Sadorsky (2014)
    </xref>, the consideration of urbanization is more interesting than population as a pollution factor. In addition, variables such as export share to GDP and energy intensity will be replaced by trade openness and energy consumption. Affluence and technology factors are captured by gross fixed capital formation (K) respectively. Incorporating these observations, the final equation becomes:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mi>
        C 
      </mi> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           1 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        P 
      </mi> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         B 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           2 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        U 
      </mi> 
      <msubsup> 
       <mi>
         r 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           3 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         C 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           4 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        U 
      </mi> 
      <msubsup> 
       <mi>
         r 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mi>
         α 
       </mi> 
      </msubsup> 
      <msubsup> 
       <mi>
         K 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mi>
         α 
       </mi> 
      </msubsup> 
      <mi>
        O 
      </mi> 
      <msubsup> 
       <mi>
         u 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mi>
         α 
       </mi> 
      </msubsup> 
     </mrow> 
    </math> (5)</p>
   <p>
    <xref ref-type="bibr" rid="scirp.136359-27">
     Satrovic and Adedoyin (2022)
    </xref> propose to square the energy consumption variable to determine the optimal level capable of degrading the environment. This philosophy is retained in this work. The equation is then written:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mi>
        C 
      </mi> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           1 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msup> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mrow> 
          <mi>
            C 
          </mi> 
          <msubsup> 
           <mi>
             E 
           </mi> 
           <mrow> 
            <mi>
              i 
            </mi> 
            <mi>
              t 
            </mi> 
           </mrow> 
           <mn>
             2 
           </mn> 
          </msubsup> 
         </mrow> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           2 
         </mn> 
        </msub> 
       </mrow> 
      </msup> 
      <mi>
        P 
      </mi> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         B 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           3 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        U 
      </mi> 
      <msubsup> 
       <mi>
         r 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           4 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        O 
      </mi> 
      <msubsup> 
       <mi>
         u 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           5 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <msubsup> 
       <mi>
         K 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           6 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
      <mi>
        I 
      </mi> 
      <msubsup> 
       <mi>
         C 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mrow> 
        <msub> 
         <mi>
           α 
         </mi> 
         <mn>
           7 
         </mn> 
        </msub> 
       </mrow> 
      </msubsup> 
     </mrow> 
    </math> (6)</p>
   <p>Taking into account some adjustments and the Néperien logarithm of the variables, the function to be estimated to analyze the link between CO<sub>2</sub> emissions, their restriction and economic growth can be written as follows:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        ln 
      </mi> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         1 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         2 
       </mn> 
      </msub> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mn>
         2 
       </mn> 
      </msubsup> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         3 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         y 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         4 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         U 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         5 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         O 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         6 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         k 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         7 
       </mn> 
      </msub> 
      <mi>
        i 
      </mi> 
      <msub> 
       <mi>
         c 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         ε 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math> (7)</p>
   <p>with E: log energy consumption, E<sup>2</sup>: log energy consumption squared, y: log GDP, U: log Urbanization; O: log trade openness, k: log gross fixed capital formation and ic: log carbon intensity and ε: error term. The subscript t and i represent time and individual. The parameters, 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mo>
        , 
      </mo> 
      <mo>
        ⋯ 
      </mo> 
      <mo>
        , 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         7 
       </mn> 
      </msub> 
     </mrow> 
    </math> are elasticities.</p>
   <p>Sub-Saharan Africa has 48 countries that differ in many respects, including geographical, climatic, cooperation, and development aspects. Moreover, they do not use the same energy sources, and consequently, the extent of pollution is not identical, thus raising the problem of individual heterogeneity. In panel data, individual heterogeneity can be taken into account either by introducing random individual specificities or by introducing individual fixed effects. Given the problems inherent in the specification of a fixed-effects model and the restrictive assumption in the specification of a random-effects model that the effects and regressors are uncorrelated, we have chosen to estimate the effects of a fixed-effects model in the panel data. In this paper, we choose to estimate both models, especially since we rely on a geographical grouping of countries in Sub-Saharan Africa. To this end, we will decompose the random disturbance variable. We will then have:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         ε 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mi>
         i 
       </mi> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         ϑ 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math></p>
   <p>Thus, the final model is:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        ln 
      </mi> 
      <msub> 
       <mrow> 
        <mtext>
          CO 
        </mtext> 
       </mrow> 
       <mtext>
         2 
       </mtext> 
      </msub> 
      <msub> 
       <mrow></mrow> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         0 
       </mn> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         1 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         2 
       </mn> 
      </msub> 
      <msubsup> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
       <mn>
         2 
       </mn> 
      </msubsup> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         3 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         y 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         4 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         U 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         5 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         O 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         6 
       </mn> 
      </msub> 
      <msub> 
       <mi>
         k 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mn>
         7 
       </mn> 
      </msub> 
      <mi>
        i 
      </mi> 
      <msub> 
       <mi>
         c 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mi>
         i 
       </mi> 
      </msub> 
      <mo>
        + 
      </mo> 
      <msub> 
       <mi>
         ϑ 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math> (8)</p>
   <p>where: 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         α 
       </mi> 
       <mi>
         i 
       </mi> 
      </msub> 
     </mrow> 
    </math> and 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <msub> 
       <mi>
         ϑ 
       </mi> 
       <mrow> 
        <mi>
          i 
        </mi> 
        <mi>
          t 
        </mi> 
       </mrow> 
      </msub> 
     </mrow> 
    </math> are uncorrelated random disturbances and are called individual effect and residual effect, respectively.</p>
   <sec id="s2_1">
    <title>Source and Presentation of Data</title>
    <p>The data used in this article are extracted from the World Bank website, specifically the <xref ref-type="bibr" rid="scirp.136359-36">
      World Bank (2020)
     </xref> database. This article focuses on an analysis of panel data consisting of forty-four (44) countries<sup>1</sup> in Sub-Saharan Africa over a period from 2000 to 2018. The length of the study is dictated by data availability.</p>
    <p>There are three variables of interest.</p>
    <p>CO<sub>2</sub>: is the emission of carbon dioxide, which is taken as a proxy for environmental degradation and measured in metric kilotons.</p>
    <p>E: is the energy consumption that is captured by the energy use variable measured in kilotons of oil equivalent (Keq). It includes all energy consumption regardless of the nature of the source. According to Georgescu-Roegen, it has a positive influence on the increase of pollution.</p>
    <p>E<sup>2</sup>: is the squared energy consumption variable that allows us to verify the linearity or non-linearity hypothesis.</p>
    <p>The other variables are controls, of which we can mention:</p>
    <p>y: is GDP which captures economic activity and can positively or negatively affect environmental degradation.</p>
    <p>U: Urbanization is the share of the urban population in relation to the total population. According to the literature, it has a positive influence on environmental degradation.</p>
    <p>O: is the country’s share of world trade as a percentage of GDP, which gives the extent of trade</p>
    <p>k: is domestic investment measured by the ratio of gross fixed capital formation to GDP.</p>
    <p>ic: is carbon intensity which positively impacts environmental degradation.</p>
   </sec>
  </sec><sec id="s3">
   <title>3. Presentation and Discussion of the Results</title>
   <p>To estimate this equation, specification tests are necessary to obtain the best possible results. These are the Fisher test, which is a test specific to the fixed-effects panel data model; the Breusch and Pagan test (LM-test), which is a test specific to the random-effects panel data; and the Hausman test, which is used to discriminate between fixed- and random-effects models.</p>
   <p>Before discussing these tests, we will present the descriptive statistics for the different zones and for Sub-Saharan Africa as a whole.</p>
   <sec id="s3_1">
    <title>3.1. Descriptive Statistics</title>
    <p>In these sub-sections, we will present the mean and standard deviation tables for the regions of Sub-Saharan Africa and for the region as a whole. The following <xref ref-type="table" rid="table1">
      Table 1
     </xref> presents the mean, standard deviation, minimum, maximum and number of observations for the geographic areas of Sub-Saharan Africa and the world as a whole.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.136359-"></xref>Table 1. Descriptive statistics for Central Africa.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="15.81%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="19.58%">Variable<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.48%">Mean<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.71%">St. dev<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.56%">Minimum<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.77%">Maximum<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="16.09%">Observations<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="7" class="custom-top-td acenter" width="15.81%">CentralAfrica<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="19.58%">CO<sub>2</sub> emission<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.48%">5622.033<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.71%">8272.988<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.56%">168.682<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.77%">34763.16<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">CO<sub>2</sub> intensity<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">9.910<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">14.642<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.076<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">58.684<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Energy<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">760.157<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">810.757<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">126.121<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">3129.892<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">GFCF<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">23.747<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">8.519<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">6.405<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">60.156<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Constant GDP<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">2.19e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">2.35e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.49e+09<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">1.05e+11<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">360968.3<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">287,897<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">13770.29<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">1,042,525<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.58%">Trade openness<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.48%">84.040<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.71%">35.347<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.56%">25.042<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.77%">165.646<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="16.09%">N = 152<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="7" class="custom-top-td acenter" width="15.81%">WestAfrica<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="19.58%">CO<sub>2</sub> emission<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.48%">8591.114<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.71%">22630.13<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.56%">146.68<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.77%">106,068<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">CO<sub>2</sub> intensity<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">15.866<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">29.317<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">0.318<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">144.343<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Energy<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">375.484<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">179.709<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">82.003<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">882.528<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">GFCF<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">22.276<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">10.257<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.097<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">61.469<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Constant GDP<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">2.92e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">8.36e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">6.60e+08<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">4.69e+11<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">136593.7<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">154704.6<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">2153.428<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">553197.2<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.58%">Trade openness<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.48%">71.674<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.71%">35.3611<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.56%">20.723<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.77%">311.354<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="16.09%">N = 304<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="7" class="custom-top-td acenter" width="15.81%">EastAfrica<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="19.58%">CO<sub>2</sub> emission<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.48%">4011.708<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.71%">4439.726<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.56%">102.676<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.77%">15940.45<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">CO<sub>2</sub> intensity<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">8.880<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">9.440<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">0.242<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">42.016<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Energy<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">538.575<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">501.913<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">111.5003<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">3015.527<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">GFCF<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">21.822<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">9.601<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.525<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">53.988<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Constant GDP<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">1.55e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">1.71e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">7.02e+08<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">7.94e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">133263.5<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">167859.8<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">231.993<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">653371.7<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.58%">Trade openness<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.48%">64.634<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.71%">40.418<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.56%">19.101<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.77%">225.023<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="16.09%">N = 285<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="7" class="custom-top-td acenter" width="15.81%">SouthernAfrica<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="19.58%">CO<sub>2</sub> emission<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.48%">92380.22<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.71%">181388.3<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.56%">1015.759<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.77%">503112.4<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">CO<sub>2</sub> intensity<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">36.611<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">67.589<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.020<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">185.110<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Energy<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">1219.277<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">736.151<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">575.074<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">2947.613<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">GFCF<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">23.274<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">6.7623<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">11.824<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">41.412<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Constant GDP<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">7.83e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">1.44e+11<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.65e+09<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">4.30e+11<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">290,788<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">279129.2<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">3789.523<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">808927.2<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.58%">Trade openness<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.48%">96.933<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="11.71%">29.274<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.56%">51.078<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="12.77%">175.798<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="16.09%">N = 95<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="7" class="custom-top-td acenter" width="15.81%">Sub-Saharan Africa<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="19.58%">CO<sub>2</sub> emission<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.48%">16011.61<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="11.71%">68273.03<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.56%">102.676<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="12.77%">503112.4<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">CO<sub>2</sub> intensity<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">14.759<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">31.082<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">0.24171<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">185.110<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Energy<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">596.910<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">587.545<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">82.003<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">3129.892<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">GFCF<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">22.502<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">9.398<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">1.097<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">61.469<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Constant GDP<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">2.87e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">7.36e+10<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">6.60e+08<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">4.69e+11<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">193775.9<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">225005.9<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">231.993<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">1,042,525<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="19.58%">Trade openness<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.48%">74.393<p style="text-align:center"></p></td> 
       <td class="acenter" width="11.71%">37.970<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.56%">19.101<p style="text-align:center"></p></td> 
       <td class="acenter" width="12.77%">311.354<p style="text-align:center"></p></td> 
       <td class="acenter" width="16.09%">N = 836<p style="text-align:center"></p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Source: Authors using data from <xref ref-type="bibr" rid="scirp.136359-36">
      World Bank (2020)
     </xref>.</p>
    <p>The descriptive statistics of the different SSA regions and the whole show that the average levels of the variables are higher in Southern Africa (SA), except for trade openness and urbanization in Central Africa (CA). However, it should be mentioned that the average level of energy consumption in Southern Africa and West Africa (WA) is lower than in SSA and the average level of the CO<sub>2</sub> emission variable in SSA is higher than in East Africa (EA), CA and WA. In terms of dispersion, the EI region followed by CA has the highest concentration around the mean. The SA and WA regions show high dispersion on variables such as CO<sub>2</sub> emissions, CO<sub>2</sub> intensity, and GDP. A reading of SSA reveals that the subregion is highly dispersed except for energy consumption, urbanization and trade openness. In conclusion, a reading of the descriptive statistics shows the divergences between the SSA regions and in its entirety. To this end, a grouped analysis should bias the individual results of the regions, which in a way confirms the approach adopted in this work.</p>
   </sec>
   <sec id="s3_2">
    <title>3.2. Results of the Fischer and Breusch and Pagan Tests</title>
    <p>These two tests validate the existence of either fixed effects (Fischer test) or random effects (Breusch and Pagan test). They are respectively based on two hypotheses, namely the null hypothesis (absence of fixed effects and random effects) and the alternative hypothesis (presence of fixed effects and random effects). The results of the tests are summarized in <xref ref-type="table" rid="table2">
      Table 2
     </xref> below:</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.136359-"></xref>Table 2. Summary result of Fischer and Breusch-Pagan tests.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="38.00%">Regions<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="33.51%">Test of Fisher<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="45.54%">Test of Breusch-Pagan<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="38.00%">Central Africa<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="33.51%">Prob &gt; F = 0.0000<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="45.54%">Prob &gt; chibar2 = 0.0000<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.00%">West Africa<p style="text-align:center"></p></td> 
       <td class="acenter" width="33.51%">Prob &gt; F = 0.0000<p style="text-align:center"></p></td> 
       <td class="acenter" width="45.54%">Prob &gt; chibar2 = 0.0000<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.00%">East Africa<p style="text-align:center"></p></td> 
       <td class="acenter" width="33.51%">Prob &gt; F = 0.0000<p style="text-align:center"></p></td> 
       <td class="acenter" width="45.54%">Prob &gt; chibar2 = 0.0000<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.00%">Southern Africa<p style="text-align:center"></p></td> 
       <td class="acenter" width="33.51%">Prob &gt; F = 0.0000<p style="text-align:center"></p></td> 
       <td class="acenter" width="45.54%">Prob &gt; chibar2 = 1.0000<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="38.00%">Sub-Saharan Africa<p style="text-align:center"></p></td> 
       <td class="acenter" width="33.51%">Prob &gt; F = 0.0000<p style="text-align:center"></p></td> 
       <td class="acenter" width="45.54%">Prob &gt; chibar2 = 0.0000<p style="text-align:center"></p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Source: Authors based on estimation results.</p>
    <p>A reading of the summary table of the results of the Fischer-Breusch-Pagan test shows that whatever the region, the probability of the calculated Fischer statistic is less than 1%. Therefore, the H0 hypothesis is rejected, and the effects model is more appropriate. The results of the Breusch-Pagan tests show two cases. The first is that there are random effects that are significant at the 1% level for the CA, EA, WA and SSA regions. However, in the second case, which consists of the Southern Africa sub-region, the null hypothesis of no random effects is not rejected because the probability of the statistic is higher even at the 10% level.</p>
   </sec>
   <sec id="s3_3">
    <title>3.3. Hausman Test</title>
    <p>The Hausman test allows us to test the presence of a correlation or not between the specific effects and the explanatory variables of the model. This makes it possible to choose between the fixed effects model and the random effects model (<xref ref-type="bibr" rid="scirp.136359-17">
      Kpodar, 2007
     </xref>). This test has two hypotheses, H0: There is no systematic difference in coefficients and H1: There is a difference between the coefficients. The results of the Hausman test are presented in the estimation table.</p>
    <p>Reading the Hausman test results reveals that in the majority of regions, the fixed-effects model is more appropriate than the random-effects model, because the probability of the test statistic is less than 1%. However, in the case of CA, the opposite is true. In view of the results of the various tests mentioned above, we will estimate two models: fixed effects and random effects in this article. <xref ref-type="table" rid="table3">
      Table 3
     </xref> below presents the results of the estimations of the fixed and random effects models.</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.136359-"></xref>Table 3. Estimation results.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="21.77%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="15.17%">Central<p style="text-align:center"></p>Africa<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="15.17%">West<p style="text-align:center"></p>Africa<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="15.19%">East<p style="text-align:center"></p>Africa<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="13.84%">Southern<p style="text-align:center"></p>Africa<p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="18.85%">Sub-Saharan<p style="text-align:center"></p>Africa<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="custom-top-td acenter" width="21.77%">Energyconsumption<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="15.17%">5.596<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="15.17%">−1.508<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="15.19%">−2.787<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="13.84%">−4.164<p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="18.85%">0.403<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(8.21)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(−1.87)*<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(−6.74)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(−2.62)**<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(0.84)<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Square energy consumption<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">−0.401<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.196<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.265<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">0.353<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.00027<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(−7.9)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(2.61)**<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(9.03)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(3.09)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(0.995)<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Gross domestic product<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">1.192<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.748<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.599<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">−0.138<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.743<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(16.35)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(4.97)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(10.14)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(−1.38)<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(13.77)***<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Urbanization<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">−0.224<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.061<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.996<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">1.326<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.466<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(−0.88)<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(0.29)<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(5.28)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(5.44)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(3.21)***<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Trade openness<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.272<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.170<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.316<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">−0.005<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.207<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(3.34)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(4.57)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(7.31)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(−0.07)<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(6.47)***<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Gross fixedcapital formation<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">−0.071<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.136<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">−0.098<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">0.131<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.005<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(−1.15)<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(4.97)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(−2.75)**<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(1.82)*<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(0.21)<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td rowspan="2" class="acenter" width="21.77%">Constant<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">−37.088<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">−9.004<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">−10.184<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">8.516<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">−17.720<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="15.17%">(11.24)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">(−3.44)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">(−4.82)***<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">(1.58)<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">(−10.21)***<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Threshold<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">1069.060<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">46.510<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">192.349<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">363.705<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">% R2<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">75.4<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">78.3<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">98.7<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">99.9<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">98.9<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Fischer<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">205.35<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">159.23<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">60.02<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">176.01<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Prob (F)<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.000<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Wald<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">705.49<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Prob<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Hausman<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">1.36<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">128.31<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">59.50<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">27.11<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">19.90<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Prob (hausman)<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.968<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">0.000<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">0.003<p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="21.77%">Obs<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">152<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.17%">304<p style="text-align:center"></p></td> 
       <td class="acenter" width="15.19%">285<p style="text-align:center"></p></td> 
       <td class="acenter" width="13.84%">95<p style="text-align:center"></p></td> 
       <td class="acenter" width="18.85%">836<p style="text-align:center"></p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Source: Authors based on estimation results. Values in parentheses are student’s statistics and *; ** and ***represent the 10%, 5% and 1% thresholds respectively.</p>
   </sec>
   <sec id="s3_4">
    <title>3.4. Analysis and Interpretation of Results</title>
    <p>The reading of the estimation results presented in the table above shows that the R2 s are greater than 50% whatever the model and that the Wald test is very conclusive for the random effect models. In light of these indicators, we can proceed to the analysis and interpretation of the results. Except for the SSA equation, all SSA regions have thresholds that are either a minimum or a maximum. The region with a maximum is CA with a threshold of 1069.060 Kep. The others, on the other hand, have minimums, namely WA (46.510 Kep), EA (192.349 Kep) and SA (363.705 Kep). All these results allow us to draw a major lesson:</p>
    <p>The relationship between energy consumption and environmental degradation is not linear.</p>
    <p>The results revealed the existence of turning points in the different regions of SSA. These results confirm Rostow’s 1960 theory of structural development and its critics. Indeed, we can assume that CEK is an extension of Rostow’s theory (<xref ref-type="bibr" rid="scirp.136359-4">
      Barthélemy, 1995
     </xref>).</p>
    <p>In CA, the inverted U-shape states that an increase in the level of energy consumption leads to an increase in the level of CO<sub>2</sub> emissions until a turning point is reached at which this level starts to fall and then begins to fall. This situation is explained by the fact that during the upward period, the economies of these countries will increase their consumption by moving from the primary sector to a secondary or even tertiary sector. However, once the turning point is reached, they will accentuate social policies that are more concerned with the environment, which will explain the downward phase. On a factual level, it is worth noting that, for almost a decade, CA economies have been the engine of economic growth in SSA, with levels reaching double digits. This period favored the attraction of FDI in the primary commodities and infrastructure sectors. All of these transformations have led these economies to migrate from the primary phase to the secondary and tertiary phases, thus pushing governments to implement increased social policies.</p>
    <p>For other regions, however, the U-shape, commonly referred to as the inverted J-shape, is the critique of the Rostow model. Indeed, according to the proponents of this critique, the structure of countries is a fundamental element of any economy. Thus, an increase in energy consumption in its regions will lead to a decrease in CO<sub>2</sub> emissions until the turning point is reached, when the latter will start to increase. This situation can be explained by the acceptance theory or by the vision of clean energy. Indeed, during the downward phase, the increase in energy consumption will undergo a phase of acceptance or reduction of the energies that are not suitable for the atmosphere until the minimum point is reached, and once accepted, the consumption of the latter should start to increase. From a factual point of view, this situation can be explained by the fact that SA, EA and WA are regions of SSA where the consumption of unsuitable energy is high. In fact, in AA, electricity production is mainly derived from coal-fired power plants, accounting for more than 80%. A study conducted by the United Nations Environment Programme (<xref ref-type="bibr" rid="scirp.136359-33">
      UNEP, 2017
     </xref>) showed that EA and WA are the most polluting regions of SSA, due to the increased use of firewood. In the same study, it is revealed that about 90% of the population is exposed to air pollution in households consuming this type of energy. As a result, the government has embarked on extensive clean electrification programs and the shutdown of coal-fired power plants. We notice that the population plays an important role in CO<sub>2</sub> emissions, which is confirmed in this study with the variable urbanization.</p>
   </sec>
  </sec><sec id="s4">
   <title>4. Conclusion and Policy Implications</title>
   <p>The objective of this paper was to determine the level of energy consumption that would minimize CO<sub>2</sub> emissions in forty-four (44) Sub-Saharan African countries over the period 2000 to 2018. After mobilizing fixed and random effects models, the results show that the relationship between energy consumption and CO<sub>2</sub> emissions is not linear in the SSA regions, but there is no relationship at the SSA level as a whole.</p>
   <p>In light of the lessons learned, two main policy implications were formulated. The first is a policy that focuses on energy efficiency and cleaner consumption (<xref ref-type="bibr" rid="scirp.136359-18">
     Lekana, 2020
    </xref>). Indeed, SSA countries must orient their energy policies towards more rational and cleaner energy consumption. To do this, governments must diversify the energy portfolio and utilize the vast untapped renewable energy potential to achieve a balance between energy consumption, economics and environmental benefits for the continent and SSA in particular. The second is a policy of intergovernmental cooperation. Indeed, policymakers need to bring their vision together by region and not for all of SSA. Thus, they need to develop environmental policies that focus on specific objectives for each subregion. Given the influence of energy consumption on the environment, it would be wise to also consider its effects on human capital in Africa.</p>
  </sec><sec id="s5">
   <title>NOTES</title>
   <p><sup>1</sup>Angola, Benin, Botswana, Burkina Faso, Burundi, Cabo Verde, Cameroon, Comoros, Democratic Republic of Congo, Republic of Congo, Cote d’Ivoire, Eritrea, Eswatini, Gabon, Gambia, Ghana, Guinea, Equatorial Guinea, South Africa, Guinea-Bissau, Central African Republic, Chad, Kenya, Lesotho, Liberia, Madagascar, Malawi, Mali, Mauritania, Mauritius, Mozambique, Namibia, Niger, Nigeria, Rwanda, Senegal, Seychelles, Sierra Leone, Sudan, Tanzania, Togo, Uganda, Zambia and Zimbabwe.</p>
  </sec>
 </body><back>
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