The driving forces of CO2 emissions and its responsiveness in Ethiopia: An integrated Analysis Dawit Woubishet Mulatu1 and Zerayehu Sime Eshete2 Abstract Sound environmental policy is fully dependent upon sound science. However, we have little scientific knowledge of the driving forces behind environmental changes. Therefore, research concerning which driving factors has an impact on environment and CO2 emissions and the extent of their impact have been of great importance, since these impact factors will directly influence the constitution of improving environmental impacts and CO2 abatement measures, policies and strategies in SubSaharan Africa (SSA) region. Ethiopia is one of the fastest growing economies in the SSA region andpromotes green-growth-strategy and sustainable development. However, the linkages between the economy and environmental impacts, and the responsiveness of CO2 emissions due to changes in economy still require further investigation. This study tries to fill this knowledge gap and explore the human-environment interactions usingan integrated approach, by taking Ethiopia as an embodiment. This study applied the so-called environmental impactsare the multiplicative product of Population, Affluence, and Technology (IPAT) identity as a framework to assess the driving forces of CO2 emissions using vector autoregressive (VAR) model specification with co-integration and Vector Error Correction Model (VECM). The results indicate the long-run responsiveness of CO2 emissions for GDP per-capita and energy intensity is positive and significant,and appears reasonably strong. The findings imply that higher GDP per-capita can induce more energy consumption and more CO2 emissions in Ethiopia context.On the other hand, the effect of population on CO2 emissions is negative, which has some similarity with Boserupian view that the impact of population on the state of the environment and contrary to the Malthusian perspective, which holds that population growth increases environmental impacts. The findings contribute for better understanding of thedriving forces behind environmental impacts and indicate possibilities to anticipate the impact of trends in population growth and economic development on CO2 emissions. Therefore, considering the driving forces and the responsiveness of CO2 emissions would enable us to inform decision-makers to make emission reduction measures and to maintain economic development, population, and energy use, especially in lower-income level countries. Key words:Environmental impacts,CO2 emissions, Integrated approach (IA), Human-environment interactions, IPAT and Ethiopia 1 Corresponding author, Environment and Climate Research Center (ECRC), Ethiopian Development Research Institute (EDRI), Addis Ababa,Ethiopia, Tel: +251911603699, [email protected] 2 Yom Institute of Economic 472215,[email protected] Development, YIED, 1 Addis Ababa, Ethiopia, Tel: +251-934- 1. Introduction The concern on environmental impacts attributed by various development activities continues to be an important agenda that have captured the attention of researchersand policy-makers.For the past few decades developing nations including the Sub-Saharan Africa (SSA), have experienced a radical change in policy and strategy following the actions previously undertaken in developed 1 nations .Environmental resources are the foundation for social and economic development in SSA region. In this region, about 60% of the population depends on agriculture for livelihood and the most vulnerable region in the world for climate variability2.Ethiopia is one of the developing countryand the fastest growing economy in SSA region. The country economy is heavily dependent on rain-fed agriculture and its productivity is associated with the use of environmental assets such as expansion into uncultivated lands and supported by agricultural inputs. Environmental degradation in Ethiopia threatens the physical and economic survival and reduces the environment's ability to provide ecosystem services. Mismanagement of natural resources and their underutilization has undermined their contribution to the country’s overall development. Moreover, the growth of population is one of the influencing factors for the degradations of environmental assets3. To overcome the challenges and to ensure sustainable development, the government of Ethiopia has initiated different strategies, policies, and institutional arrangements.However, sound environmental policy is fully dependent upon sound science and still we have little scientific knowledge of the driving forces behind environmental change4.Therefore, research concerning which driving factors have an impact on environment and CO2 emissions and the extent of their impact have been of great importance, since these driving factors will directly influence the constitution of improving environmental impacts and CO 2 abatement measures, policies and strategies5. A considerable number of research has been contributed to improve the understanding of driving forces of environmental impacts 6,7,8,9 and CO2 emissions10,11,12.Every country shares the responsibility to reduce the rapid growth ofgreenhouse gases emissions in order to alleviate global climate change worldwide5.A multidisciplinary approach is required to understand the dynamics of environmental impacts and human-environment interaction to address theory, concepts, models,and applications relevant to environmental and socioeconomic problems13. The crucial challenge of a sustainability oriented environmental management is to find the proper balance between humans and the impacts their activities have on ecosystems14. However, limited research has been conducted in evaluating the driving forces of environmental impacts and CO2 emissions in developing countries, particularly in SSA region6,5,15. Thus, this study evaluates the driving forces of CO2 emissions and explores the humanenvironment interactions.On top, an integrated approach employed to better understand the linkages between the economy and environmental impacts in SSA region,by taking Ethiopia as an embodiment. The human-environmental impacts interaction, has been conceptualized mathematically by the socalled environmental impacts are the multiplicative product of Population, Affluence, and Technology (IPAT) equation16. IPAT has been utilized as an analytical framework for assessing human impacts on 2 the natural environment 11 .The IPAT model reformulated into a stochastic form as the Stochastic estimation of Impacts by Regression on Population, Affluence, and Technology (STIRPAT) model in order to analyse the effects of driving forces and impact factors on a variety of environmental impacts17.The IPAT framework is a worthwhile analytic tool for girding the environmental policy because of its combination of simplicity andparsimonious specification with its robustness of application. IPAT is also widely criticized, primarily for its simplistic formulation while it applied widely and captures the important driving forces behind environmentalimpacts4. Consequently, this study usesIPAT identity as a framework to assess the driving forces of CO2 emissions. Besides, because of the current economic activities inevitably induce more energy consumption and CO2 emissions, and heavily dependent on natural resources, considering the responsiveness of CO2 emissions is vital for the governments in SSA region to influence the behavior of people. The findings may also contribute to identify which environmental impacts have to be considered to create coherent indicators to be used to inform decision-making for a wide range of purposes.This paper is organized as follows: Section 2 discusses literature review, Section 3describes the methodology (i.e. data and methods, and estimation technique/econometrics approach), and Section 4discloses the results and discussion. Finally, conclusions are provided in Section 5. The main objective of this research is to evaluate the driving forces of CO2 emissionsin Ethiopia and to contribute to the country sustainable development strategy by improving environmental changes and mitigatingthe level of CO2 emissions. 2. Literature Review At micro level, environmental valuation studies reveal information on both the structure and functioning of ecosystems and the varied and complex roles of ecosystems in supporting human welfare 18 . At macro level, the environmental impacts of economic activity can be looked at in terms of extractions from or insertion into environment and by the responsiveness of the environmental impacts due to changes in economic development16.Understanding the relationship between economic development and the factors causing the environmental pressures is the basic premise of formulating and adjusting the environmental policy. A sound environmental policy should be effective to reduce or mitigate the environment pressures and simultaneously maintain economic development 19. Althoughthe scientific consensus that humans have dramatically altered the global environment, we have a limited knowledge of the specific forces that are driving those impacts. One key limitation to a precise understanding of anthropogenic impacts is the absence of a set of refined analytic tools 10. A relationship between environmental impacts and population, has been conceptualized mathematically by the so-called theenvironmental impacts are the multiplicative product of Population, Affluence, and Technology (IPAT) model16.The IPAT model is an important theoretical and empirical framework for identifying the drivers of environmental impacts and for estimating potential changes in impacts due to changes in any of the driving forces/factors, including CO2 emissions,5 energy consumption, ‘water footprint’, air pollution11, and ‘ecological footprint’20.The land use land cover 3 change (LULC) dynamics and other environmental impacts appear to track well with the IPAT model 6,13 .The rapid increase of CO2 emissions has caused many concerns among policy makers, and population growth has been taken as one of the major driving forces behind increasing CO2 emissions worldwide over the last two decades21.Despite its limitations, the IPAT model provides a useful starting point for developing a better framework and for structuring empirical tests of competing arguments17.Considerable progress has been made in developing a better understanding on how human-actions lead to environmental change and in particular on what is most often called anthropogenic drivers, which means the range of human-actions that cause environmental change and the factors that shape those actions 22 . The nature and extent of the relationships between driving forces of environmental impacts and CO2 emissions means that, with current knowledge, it is not possible to develop probabilistic future for environmental impacts and emission scenarios. Though it were possible to derive (subjective) probability distributions of the future evolution of individual scenario driving force variables (for example: population, economic growth, or technological changes), the nature of their relationships is known only qualitatively at best or remains uncertain (and controversial) in many instances23. There are two perspectives on the impact of demographic growth on environmental impacts: the Malthusian tradition and the Boserupian approach5. IPAT-linked work invokes a neo-Malthusian or ecocentric vision-closed system with inflexible limits-and an exogenous role for technology in determining these limits. This view claims that the environmental impacts takes placedue to population pressure and solutions have to be found in limiting population, rather than in changing consumption and behavioral patterns. In contrast, Boserupian or anthropocentric view-open systems with flexible limitsand an endogenous role for technology. This view, with the support of a significant number of case studies, interprets the role of population growth in the context of broader conditions, with potentially positive outcomes for welfare and the environment. Besides, at case study and regional level, the IPAT formulation is insufficiently sensitive to capture the diversity, variability and complexity of real-world situations24. IPAT bridge the approach to describe how our growing population contributes to our environment, both positively and negatively25. Indeed, proper application of IPAT as an analytical tool requires attention to certain statistical issues. Variability is a necessary, but not sufficient, condition for assessing causality, and is, certainly, a requirement for statistical analyses4. The concept of ecological elasticity has been also introduced to analyze environmental questions. Ecological elasticity (EE) refers to the responsiveness or sensitivity of environmental impacts to a change in any of the driving factors/forces. The ecological elasticity of population, affluence and other factors for cross-national emissions of CO2 from fossil fuel combustion and for the energy footprint, a composite measure comprising impacts from fossil fuel combustion, fuel wood, hydropower and nuclear power are computed using STIRPAT model10. It can easily be calculate the EE of any of the driving factors of environmental impacts. However,the operational measure of technology is not free of controversy and is usually included in the error term since appropriate direct measures of technology are lacking and any specific indicator is highly disputed5.Therefore, this study may 4 contribute to the knowledge gap on the linkages between the economy and the environment using IPAT identity as an integratedapproach to assess the driving forces and the response ofCO2 emissions in Ethiopia Context using vector autoregressive (VAR) model specification with co-integration and Vector Error Correction Model (VECM)to estimate the long-and the short-run relationships between CO2 emissions and the driving forces/factors. 3. Methodology 4.1. Data A time-series data of Ethiopia on socioeconomic variables (population and GDP per-capita) for the period 1971-2011 have been collected from Ethiopia Ministry of Finance and Economic Development (MoFED) and from the database of the World Bank (WB) for Ethiopia economic indicators.Data on CO2 emissions, energy intensity and carbon intensity for the period 1971-2011 have been collected from International Energy Agency (IEA). The definitions of variables used and their unit of measurement presented in Table 1. Table 1: Definitions of variables used in this paper No variable Definition Unit of measurement 1 CO2 emissions Mt 2 Population Carbon dioxide emissions from the burning of fossil fuels and the manufacture of cement. It includes carbon dioxide produced during consumption of solid, liquid, and gas fuels and gas flaring Mid-year population 3 GDP per-capita Gross domestic product divided by midyear population constant local price year 2000 Constant local price year 2000 4 Energy intensity It is calculated using the ratio of total primary energy supply (TPES) per PJ (including biofuels and other nonfossil forms of energy) per GDP TPES per GDP Number Energy intensity of the economic output. 5 Carbon Intensity CO2 emissions per unit of total primary energy supply (TPES).Carbon intensity of the energy mix. CO2 emissions per unit TPES Note: The logarithm of each variable presented as log in the regression models result. 4.2. IPAT equation The IPAT equation and related formulas were renowned, along with the modern environmental movement, since 1970’s as part of the ongoing debate on the driving forces of environmental change11. Although first used to quantify contributions to unsustainability, the formulation has been reinterpreted to assess the most promising path to sustainability 26. The first simple original 5 formulation of the theoretical framework to analyse environmental impact (I) was presented by 25.This simple formulation of the IPAT model is: I P*F ......................................................................... (1) Where I is the total impact, Fmeasures the per capita impact and P is population size. Impact increases as either P or F increases or if one increases faster than the other declines 26. This model presents some limitations that the factors are not independent among each other, due to multiplicative and non-linear relationships. To indicate that the equation is non-linear and the variables are interdependent, the model can be expanded as: I P( I , F ) * F .................................................................................... (2) This variant shows that P depends on I and F. Technology (T) is not introduced explicitly at this stage, but its impact is hidden in F, as a per capita impact. More general, the IPAT model specifies that environmental impacts (I) are the multiplicative product of population size, affluence (per capita production or consumption), and technology (impact per unit of production/consumption). I P * A *T 27 ....................................................................... (3) revised the IPAT model by disaggregating T into consumption per unit of GDP (C) and impact per unit of consumption (T) and renamed the model as ImPACT. 28 proposed and modified the IPAT model as I=PBATmodel, where B are behavioral choices. However, 29 argued that in I=PBAT model the aspects of behavior are implicitly involved in each factor in the right-hand side of the equation I=PAT. Thus, behavioral choices could only include aspects of behavior that are not already included in P, A and T, and as such, B is also very difficult to define precisely.4introduced the concept of Ecological Elasticity (EE) that refers to the responsiveness or sensitivity of environmental impacts to a change in any of the driving factors and the elasticity of IPAT model. 17 reformulated the IPAT model into a stochastic form as the Stochastic estimation of Impacts by Regression on Population, Affluence, and Technology (STIRPAT) model in order to analyse the effects of driving forces on a variety of environmental impacts. The basic STIRPAT model formulation is: I i aPi Ai Ti i .............................................................................. (4) b c d Where a is the constant scale of the model, b, c and d are the exponents of P, A, and T, respectively and ε is the error term. The subscript ivaries across observations over units, over time or both. The original IPAT model assumes proportionality and sets that a=b=c=d=εi=1, while STIRPAT treats these as parameters/coefficients to be estimated17,11. The STRIPAT model is the most standard formulation of IPAT model for quantitative social research and can be estimated using regression techniques 4. Statistical analysis of ordinary least square (OLS) and partial least square (PLS) regression will be employed to analyse the responsiveness of CO2 emissions using SRIRPAT model6. The STRIPAT model can also be transformed in to logarithmic function, which measures the responsiveness or sensitivity of environmental impacts to a change in any of the driving forces17. The model then takes the following form: ln I i a b(ln Pi ) c(ln Ai ) d (ln Ti ) i ................................................... (5) 6 Where a andεi is the natural logarithmic of a and εi in Equation 5, respectively.In the STIRPAT model, it is possible to substitute a vector of cultural, political and social structural variables for technology (T) and examine the net effect of each on environmental impacts20,6. We employ STIRPAT as an integratedapproach for better understanding of the responsiveness of CO2 emissions as an environmental impact due to changes in driving forcesin Ethiopia economy context using the following estimation techniques or econometrics approach. 4.3. Estimation techniques (or Econometrics approach) Once the model is specified, the study will use vector autoregressive (VAR) model to examine the responsiveness of CO2 emissions using STIRPAT modelas a base and the interactions of all variables in the specification.This estimation technique put forth no need of restriction on the variables as exogenous and endogenous and blends.30(1988) procedure for vector autoregressive (VAR) model specification with co-integration and error correction techniques to estimate long-and short-run coefficientsthat indicate the relationship of the variables, if the variables are stationary after differencing. A VAR system of equation may be specified as: yt A1 yt 1 A2 yt 2 ... Ap yt p ut …………………………………………………………………………………….. (6) Where the Ai’s are (nxn) coefficient matrices, Ytare all variables mentioned in the model specification, and ut (u1t , u2t ,...,unt )' is n dimensional vectors of multivariate random errors with zero mean and covariance matrix, that is innovation term. The optimal lag length (p) will be determined by Akaike Information Criteria, AIC=T.log(SSR)+2n, Schwarz and Risanen Criteria SBC=T.log(SSR)+n.log(T) also called Schwartz andHannan-Quinn Criteria HQC=T. log(SSR)+2n.log(log(T)). The study also applies endogenous structural breaks unit root test of both31 (1992) test and32(1998) tests in order to address problems that are associated with single break and two-breaks, respectively. If there is no structural breaks in a time series data, the result generated from these tests and Augmented Dickey-Fuller (ADF) test should be the same. However, the Zivot and Andrews (ZA) model considers one structural break and uses many dummy variables for each structural break year31.As the exact endogenous break is unknown, the ZA model then assumes every point as a potential break. It, therefore, sequentially conducts a regression for every structural break point, in which the minimum t-statistic indicates where the endogenous structural break pointis found. The following equation gives the ZA model. k yt t DU1t DT1t yt 1 yt i t ………………………………………… (7) i 1 7 1 if t > TB 1, if t > TB DU1t = and , DT1t = 0, otherwise 0, otherwise Where yt is a time series variable, t is the time trend, indicating the mean shift (change in the level), DU1t is the intercept dummy variable DT1t and stands for the slope dummy representing change in the slope of the trend function. Besides, TB represents a potential break point, k denotes lag length.The null hypothesis states that the time series that excludes any structural break is nonstationary whereas the alternative hypothesis indicates that the series that includes one structural break is stationary. 32 (1998), alternatively in the presence of two breaks,the time Clemete Montanes and Reyes (CMR) test of stationarity proposed two models:- Additive outlier (AO) model and Innovative outlier (IO) model in order to address instantaneous structural breaks and gradual change, respectively. The following equation gives the IO model as below. k yt yt 1 1DT1t 2 DT2t 1t DU1t 2t DU 2t i yt i t ……………………….(8) i 1 The AO modelhas two stages in order to test for stationarity. The first step removes the deterministic part of the variable by modeling: yt 1t DU1t 2t DU 2t yt The study uses and tests the following model after removing the deterministic party of the variable as explained in equation 9: k yt yt 1 1i DT1t i 2i DT2t i yt i t ………..………..………………….… (9) i 1 Where 1, if t > TB 1, if t > TB DU1t = , DU 2t = for representing intercept dummy 0, otherwise 0, otherwise 1, if t > TB 1, if t > TB DT1t = , DT2t = for representing the slop dummy 0, otherwise 0, otherwise After presenting the VAR results, the Granger Causality Test (GCT) can be run for testing the Granger causality using Wald test that involves the effect of past values of all other variables on the current value of the remaining variable. It is different from exogeneity tests, which look at whether the 8 current values of z explains current and future values of y. Moreover, it checks the stability condition of the VARX (X stand for exogenous variables) model and analysis of one-time shock to apply forecasting techniques for some specified target year. The requirement of satisfying the stability condition of the VARX model indicates that the unit roots or the solutions of the VARX system are below one, or all the Eigen values lie inside the unit circle, which is the necessary and sufficient condition for stability. Otherwise, the impact of the impulse (shock) in some variables might not decrease/increase with time. A crucial condition for the VAR model to be valid and consistent requires the covariance to be stationary in order to avoid the formation of explosive roots. This confirms that using the VARX model satisfies the stability condition and can be used for forecasting. As the VAR model is stable, the next points will be to discuss the impulse response functions and the variance decomposition in response to a one-time shock in the system. The impulse response function presents the dynamic interactions among endogenous variables and traces the effect of a one-time shock on current and future values of the endogenous variables. It sheds light for empirical causal analysis and policy effectiveness. The variance decomposition also presents the separation of the variation in an endogenous variable into the component shocks during the forecast period. 5. Results and Discussion 5.1. Results 5.1.1. Descriptive Analysis This part of the result gives the general features of the data in terms of both central tendency and variation measures of the distribution as well as shape of the distribution over the period 1971-2011. The statistical summary of the variables are presented in Table 2. Except Energy intensity, the measures of skewness indicate that all variables have tails on the right side longer than the left ones and bulk of values falls to the left of the mean. On top of this, Kurtosis also explains the peakedness of the probability distribution of each variable so that energy intensity behaves in the way of having mesokurtic distribution while per capita income is being characterized with leptokurtic shape. All other variables are indicatinga platykurtic shape of the distribution,as their values are below three. Table 2: Descriptive Analysis Variable Obs. Mean CO2emissions 41 120.9512 Energy intensity Carbon intensity population Per capita income 41 Std. Dev. Min Max Skewness Kurtosis 70.49786 54.0 265 0.862443 2.276553 41 89.756114.49617 55.0 117 3.000909 41 106.4634 28.16744 67.0 -0.593627 163 0.7600003 2.147187 54.06098 16.32654 31.7 84.7 0.3395142 1.838586 41 1063.171 219.7626 855 1860 2.210609 7.409546 9 Looking at Table 3, the partial and semi partial correlation of CO 2 emission with energy intensity is negative and statistically insignificant while all others are positive and statistically significant. Table 3: Partial and Semi Partial Correlations of CO2 emission Variable Partial corr. Semipartial corr. Partial corr. ^2 Semipartial corr. ^2 Significant value Population 0.9246 0.1252 0.8550 0.0157 0.0000 Per Capita Income 0.4051 0.0229 0.1641 0.0005 0.0116 Energy Intensity -0.1243 -0.0065 0.0154 0.0000 0.4573 Carbon Intensity 0.9308 0.1314 0.8664 0.0173 0.0000 5.1.2. Stationarity Test All time-series data must be stationary, meaning constant mean and variance over time, in the regression model. Otherwise, the regression result becomes spurious. This paper uses Zivot-Andrews unit root test that assumes one structural break and Clemente-Montanes-Reyes unit-root test that accounts for two structural breaks in the time-series. These tests have comparative advantage over the DF test and ADF test that presume there is no structural beak in the time-series. Table 4 provides the Zivot-Andrews unit root test and all variables are non-stationary at level form (before making the data at first difference form). However, except energy intensity, all of them are stationary at first difference form. Table 4: Zivot-Andrews unit root test for allowing for one break in intercept At Level Form At Difference Variables (in log) CO2emissions Population Per Capita Income Energy Intensity Carbon Intensity Break year Minimum t-statistics Break year Minimum t-statistics 2000 1986 2004 2004 2001 -4.068 -2.617 -0.476 -0.982 -4.189 1994 1982 2004 2004 2003 -7.139* -6.507* -6.846* -4.141 -7.221* Critical Values: 1% level of significance (-5.43) and 5% level of significance (-4.80) One of the interesting points in this test is that the year chosen for structural break for each variable is not uniform. The ZA test points out that energy intensity is non-stationary in the existence of one structural break. This claims the CMR unit-root test that enables to examine the stationarity condition in the existence of two structural breaks in the time series for both additive outlier (AO) and innovation outlier (IO). The result presented in Table 5 confirms that energy intensity is stationary at 10 the first difference form, as t calculated is greater than t tabulated. Note that both t-values are considered in absolute value in order to compare for decision. Table 5: Clemente-Montanes-Reyes unit-root test for two breaks with AO and IO models Variable At Level form (log at level form) Min t At Difference form Optimal Breakpoints Min t Optimal Breakpoints (year) (year) Energy Intensity (in AO model) -2.827 1982 and 2005 -5.631* 1993 and 2004 Energy Intensity (in IO model) -2.679 1982 and 2003 -6.555* 1994and 2004 N.B:- Min.‘t’ is the minimum t-statistics calculated. 5% critical value for the two breaks; -5.490 Finally, all variables that are expressed in first difference form are stationary when the study considers structural break using by ZA unit root test and its complement, the CMR unit root test. Once it is confirmed that all variables are stationary at first difference, the next step is to conduct co-integration and Error correction model with the optimal lag length. 5.1.3. Selection and Determination of Lags order criteria One of the most common practices in the VAR model is to select the optimal lagged term using some criteria such as FPE: Final prediction error AIC: Akaike information criterion SBIC: Schwarz information criterion or Bayesian information criterion (BIC), and HQIC: Hannan-Quinn information criterion. Before selecting the lag length, two situations should be identified. First, too short lag length in the VAR may not capture the dynamic behavior of the variables 33 ,thus,the optimal lag length would be selected by the smallest lag shown under the criteria. Second, 34 (1992) point out that too long lag length will distort the data and lead to a decrease in in power of explaining the dynamic behavior of the variable. Table 6:-Selection of the Optimal Lag Length Sample: 5 - 41 lag LL LR Number of obs df.p FPE AIC = 37 HQIC 6.0e-13 SBIC 0 263.033 1 460.933 395.8 2 482.696 43.526 25 0.012 6.9e-17 -23.1187 3 506.507 47.622 25 0.004 9.1e-17 -23.0544 -21.8265 -19.5714 4 547.756 82.497* 25 0.000 6.0e-17 -23.9327* -22.3211 -19.3612 25 0.000 5.3e-17* -13.9477 -23.2937 -13.871 -22.8332* -22.2745 -13.73 -21.9875* -20.7241 According to Table 6, the optimal lag length is one based on FPE, HQIC and SBIC criteria, and the LR test and AIC criteria indicate a lag length of four. Therefore, one lag length is considered in the VAR 11 model for having well defined co-integration and Vector Error Correction Model (VECM) as presented below. 5.1.4. Johansen tests for Co-integration In order to check whether there is co-integration or long-run relationship among variables, it is common to apply the Johansen tests based on the co-integration rank that shows the number of cointegrating vectors 30 . The co-integration analysis also provides a framework for estimation, inference, and interpretation when each variable is not stationary individually while has stationary linear relationship together. If there is a stationary linear combination of non-stationary variables, the variables combined are said to be co-integrated. The best way of testing co-integration is by using the system Maximum Likelihood (ML) estimator of Johansen test which presented in Table 7. Table 7: Johansen tests for co-integration Johansen tests for cointegration Trend: constant Sample: 2 - 41 maximum rank 0 1 2 3 4 5 parms 5 14 21 26 29 30 Number of obs = Lags = LL 459.30824 475.71236 488.99006 499.54296 502.46824 502.83786 eigenvalue . 0.55966 0.48515 0.41001 0.13607 0.01831 40 1 5% trace critical statistic value 87.0592 68.52 54.2510 47.21 27.6956* 29.68 6.5898 15.41 0.7392 3.76 As the rule of thumb, as the log-likelihood of the unconstrained model with the co-integrating equations is significantly different from the log-likelihood of the constrained model that excluded the co-integrating equations, we reject the null hypothesis of no co-integration. Besides, the above result shows that the trace statistic value (27.6956) is less than the critical value (29.68) as moving from the rank zero in ascending order. This leads to accept the null hypothesis that states the maximum rank is two and thereby two co-integration equations is used in the VAR model. Therefore, the existence of co-integration approves to conduct the Vector Error Correction Model (VECM) in order to evaluate the both long-run and short-run relationships and theuse of vector error correction model is also justified. 5.1.5. Vector Error Correction Model: The Long Run dynamics equilibrium The Vector Error Correction Model (VECM) is a special case of the VAR for variables that are stationary in their first differences after taking into account any co-integrating relationships.The focus of this paper is the long-run response of CO2 emissions due to changes in the driving forces, the result presented in Table 8.The results show the long-run relationshipamong CO2 emission, and per capita 12 income, population, energy intensity and carbon intensity for the first co-integrating vector over the period of 1971-2011. Table 8: Vector Error Correction Model Co-integration Equation Cointegrating equations Equation Parms _ce1 4 Identification: chi2 P>chi2 144225 0.0000 beta is exactly identified Johansen normalization restriction imposed beta Coef. _ce1 logco2emis~s logpop logpicg logenergyi~y logcarboni~y _cons 1 -1.114158 .198008 .2397298 -.9363568 1.638943 Std. Err. . .0138183 .0439834 .0433167 .015536 . z . -80.63 4.50 5.53 -60.27 . P>|z| . 0.000 0.000 0.000 0.000 . [95% Conf. Interval] . -1.141241 .111802 .1548306 -.9668069 . . -1.087074 .284214 .3246289 -.9059067 . In Table 8, all of the variables coefficients are statistically significant at onepercent. As the variables are expressed in terms of logarithms, the coefficients are being interpreted as long-run elasticities. The coefficients measure the responsiveness of the CO2 emissions due to changes in the driving forces of CO2 emissions. Accordingly, both a percentage increase in per capita income and energy intensity intensifies the level of CO2 emission by 0.198 percent and 0.2398 percent, respectively.However, a one percentage increase in population likely leads to a decreasing CO2 emissions by 1.115 percent in the long run. Similarly, there is 0.9364 percent negative response of CO2 emissions when there is an increase by a unit percentage change in the level carbon intensity. 5.1.6. Vector Error Correction Model: The Short-Run Dynamics equilibrium Having a result on the long-run equilibrium dynamic relationships among variables, the short-run dynamic relationship should be the subsequent point of presentation. As presented in Table 9, the estimates of the short-run parameters that explain the speed of adjustment towards the long run equilibrium position per annum, implying rapid adjustment toward equilibrium. For all variables except energy intensity the ECM or the error term at lag one are negative and statistically significant, showing the fact that any short-run variation and fluctuation between variables will move towards a stable long-run equilibrium relationship. This indicates that these variables quickly fall back toward the long equilibrium position as the values increase over time. However, it is positive and statistically insignificant for the energy intensity. This means that energy intensity moves up toward the long run equilibrium position as its value increases. 13 Table 9: Vector Error Correction Model3 Vector error-correction model Sample: 2 - 41 Log likelihood = Det(Sigma_ml) = Equation 475.7124 3.22e-17 Parms D_logco2emissi~s D_logpop D_logpicg D_logenergyint~y D_logcarbonint~y No. of obs AIC HQIC SBIC 2 2 2 2 2 Coef. RMSE .082466 .009919 .051508 .057139 .076652 Std. Err. R-sq chi2 P>chi2 0.4791 0.8679 0.1986 0.0822 0.4053 34.95622 249.5602 9.41943 3.404987 25.9006 0.0000 0.0000 0.0090 0.1822 0.0000 z P>|z| = 40 = -23.08562 = -22.87189 = -22.49451 [95% Conf. Interval] D_logco2em~s _ce1 L1. -6.985845 1.348294 -5.18 0.000 -9.628453 -4.343238 _cons .0090453 .0141211 0.64 0.522 -.0186316 .0367223 _ce1 L1. -.3290528 .1621694 -2.03 0.042 -.6468991 -.0112066 _cons .0232469 .0016985 13.69 0.000 .019918 .0265758 D_logpicg _ce1 L1. -2.120246 .8421441 -2.52 0.012 -3.770818 -.4696742 _cons .0057694 .0088201 0.65 0.513 -.0115176 .0230564 D_logenerg~y _ce1 L1. 1.468319 .9342086 1.57 0.116 -.3626961 3.299334 _cons -.0028304 .0097843 -0.29 0.772 -.0220073 .0163464 D_logcarbo~y _ce1 L1. -6.270079 1.25323 -5.00 0.000 -8.726365 -3.813792 _cons -.0139117 .0131255 -1.06 0.289 -.0396372 .0118139 D_logpop Having results of co-integration and VECM, the subsequent presentations are post/estimation tests which are important to confirm and improves the consistence of the model results. 5.1.7. Granger causality Test Noting the VAR model considers all variables as endogenous variables, the Granger causality test is so an important statistical hypothesis test for setting whether one time series is useful in forecasting another or not. The Granger causality test also points out the causality relationship between variables in the sense of testing the predication capacity of the past values independent variables about dependent variable, as presented Table 10. In the Granger causality test, the null hypothesis states that the excluded variable from equation does not Granger-causes. Against this hypothesis, both per capita income and energy intensity do Granger3 Note that the presence of autocorrelation is being tested by Lagrange-multiplier test and it gives that the Chi square value becomes 32.8250 with the probability of getting Chi2 is 0.13550. Thus, we fail to reject the null hypothesis that states there is not autocorrelation at lad order. 14 cause CO2 emission. In terms of joint statistical test, all variables do jointly Granger-cause one another. Specifically, all explanatory variables (population, per capita income, energy intensity and carbon intensity) do jointly Granger cause CO2 emission. Table 10: Granger causality Wald tests Granger causality Wald tests Equation Excluded logco2emissions logco2emissions logco2emissions logco2emissions logco2emissions logpop logpicg logenergyintens~y logcarbonintens~y ALL 1.6767 19.939 23.534 .561 38.247 chi2 df Prob > chi2 1 1 1 1 4 0.195 0.000 0.000 0.454 0.000 logpop logpop logpop logpop logpop logco2emissions logpicg logenergyintens~y logcarbonintens~y ALL .04577 6.3777 5.6999 .10108 8.1375 1 1 1 1 4 0.831 0.012 0.017 0.751 0.087 logpicg logpicg logpicg logpicg logpicg logco2emissions logpop logenergyintens~y logcarbonintens~y ALL 2.6973 3.1009 8.9 2.6002 22.278 1 1 1 1 4 0.101 0.078 0.003 0.107 0.000 logenergyintens~y logenergyintens~y logenergyintens~y logenergyintens~y logenergyintens~y logco2emissions logpop logpicg logcarbonintens~y ALL 2.2341 2.4207 .09873 2.2204 13.194 1 1 1 1 4 0.135 0.120 0.753 0.136 0.010 logcarbonintens~y logcarbonintens~y logcarbonintens~y logcarbonintens~y logcarbonintens~y logco2emissions logpop logpicg logenergyintens~y ALL .46864 .92772 20.404 23.575 38.049 1 1 1 1 4 0.494 0.335 0.000 0.000 0.000 As per the result presented in Table 10, the lagged values of per capita income and energy intensity help to predict CO2 emission. The converse does not hold true, its reveals that the relationship between CO2 emission and the driving factors confirms the existence of unidirectional causality. 5.1.8. The stability of the model Checking the stability of the model is an important test in time-series econometrics. The stability of the VAR model requires the moduli of the Eigen values to lie within the unit circle. Otherwise, the system is not stationary. Rather it is explosive or non-convergent. Table 11 and the associated graphical presentation confirm that all roots are less than oneand no root lies outside the unit circle. This result signifies and satisfies the stability condition of the model. As the VAR model is stable, it is possible to present the impulse response functions and variance decomposition in response to a onetime shock in the system. 15 Table 11: Eigen vales Stability Condition Figure 1: Roots of the co-integration matrix Roots of the companion matrix All the eigenvalues lie inside the unit circle. VAR satisfies stability condition. N.B: - For a characteristic equation of the type, roots: 0 .995829 .995829 .74725 .263654 .049973 -.5 .9952561 + .03376271i .9952561 - .03376271i .7472496 .2636535 .04997289 -1 Modulus Imaginary Eigenvalue .5 1 Eigenvalue stability condition a 2 b2 35 -.5 0 Real b a2 b c 0 1 , 2 2a , 1 , 2 Imaginary roots: 1 , 2 i where i a complex number, a + bi is -1 i .5 1 b 2 4ac i 2a ; Real 1 . In general case, the modulus of . 5.1.8. Impulse Response Function and Variance Decomposition The Impulse Response Function (IRF) refers to the dynamic interactions among endogenous variables and traces the effect of a one-time shock on current and future values of the endogenous variables. The overriding objective of IRF is to trace the time path of structural shocks in the VAR system and additionally check of co-integration test’s findings. IRF show the current and lagged effects overtime of changes in errors (shocks) on the variables in the VAR. If the system of equations is stable, any shocks should decline to zero, and if it is an unstable system, it would produce an explosive time path. It is important to specify the orthogonal impulse response function because it gives impulse responses assuming (counterfactually) that the VAR residuals are uncorrelated. The resulting IRFs are shown in Figure 2. 16 Figure 2: Impulse Response Function for preferred ordering L1, logcarbonintensity, logcarbonintensity L1, logcarbonintensity, logco2emissions L1, logcarbonintensity, logenergyintensity L1, logcarbonintensity, logpicg L1, logcarbonintensity, logpop L1, logco2emissions, logcarbonintensity L1, logco2emissions, logco2emissions L1, logco2emissions, logenergyintensity L1, logco2emissions, logpicg L1, logco2emissions, logpop L1, logenergyintensity, logcarbonintensity L1, logenergyintensity, logco2emissions L1, logenergyintensity, logenergyintensity L1, logenergyintensity, logpicg L1, logenergyintensity, logpop L1, logpicg, logcarbonintensity L1, logpicg, logco2emissions L1, logpicg, logenergyintensity L1, logpicg, logpicg L1, logpicg, logpop L1, logpop, logcarbonintensity L1, logpop, logco2emissions L1, logpop, logenergyintensity L1, logpop, logpicg L1, logpop, logpop .1 0 -.1 -.2 .1 0 -.1 -.2 .1 0 -.1 -.2 .1 0 -.1 -.2 .1 0 -.1 -.2 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 step 95% CI orthogonalized irf Graphs by irfname, impulse variable, and response variable The diagonal panels in above show the estimated effects of shocks to each variable on future values of its own value in terms of percentage change. In all cases, the shock dies out over time, reflecting the stationarity of the variables. A one-standard deviation shock to each variable falls within zero and one percent. The off-diagonal panels show the effects of a shock in one variable on the dynamic time path of other variables in terms of percentage. The effect decays to zero over time. Overall, the short-run equilibrium adjustment process is quite fast. 5.1.9. Variance Decomposition with Optimal Lag Length Variance Decomposition or forecast error indicates the amount of information each variable contributes to the other variables in a VAR model. It measures the extent to which each shock contributes to unexplained movements and forecast errors in each variable. In other word, it determines how much of the forecast error variance of each of the variable can be explained by exogenous shocks to other variables over a series of time horizons. Note that all variance decompositions start at zero because there is no forecast error at a zero lag.Accordingly, the Figure 3 indicates that the variation in CO2 emission is majorly explained by its own lagged values, followed by energy intensity and per capita income. 17 Figure 3: Variance decompositions with preferred ordering L1, logcarbonintensity, logcarbonintensity L1, logcarbonintensity, logco2emissions L1, logcarbonintensity, logenergyintensity L1, logcarbonintensity, logpicg L1, logcarbonintensity, logpop L1, logco2emissions, logcarbonintensity L1, logco2emissions, logco2emissions L1, logco2emissions, logenergyintensity L1, logco2emissions, logpicg L1, logco2emissions, logpop L1, logenergyintensity, logcarbonintensity L1, logenergyintensity, logco2emissions L1, logenergyintensity, logenergyintensity L1, logenergyintensity, logpicg L1, logenergyintensity, logpop L1, logpicg, logcarbonintensity L1, logpicg, logco2emissions L1, logpicg, logenergyintensity L1, logpicg, logpicg L1, logpicg, logpop L1, logpop, logcarbonintensity L1, logpop, logco2emissions L1, logpop, logenergyintensity L1, logpop, logpicg L1, logpop, logpop 1.5 1 .5 0 -.5 1.5 1 .5 0 -.5 1.5 1 .5 0 -.5 1.5 1 .5 0 -.5 1.5 1 .5 0 -.5 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 0 5 10 15 20 step 95% CI fraction of mse due to impulse Graphs by irfname, impulse variable, and response variable 5.2. Discussion Anthropogenic greenhouse gas (GHG)emissions are mainly driven by population size, economic activity, lifestyle, energy use, land-use patterns, technology and climate policy36.The importance of informed decision on environmental policies has highlighted the need for a deeper scientific understanding of the driving forces/factors impacting environment 20. However, the scientific knowledge of the driving forces behind environmental impacts is meager in Ethiopian economy context.Under the current development practices of Ethiopia, greenhouse gas (GHG) emissions would more than double from 150 Mt CO2 emissions in 2010 to 400 Mt CO2 emissions in 2030. To address CO2 emissions challenges, the country initiated the Climate-Resilient Green Economy (CRGE) using sectoral approach and prioritized more than 60 initiatives, which could help to achieve the country’sdevelopment goals while limiting greenhouse gas emissions to around today’s 150 Mt CO2 emissions around 250 Mt CO2 emissions in 203037. Thus, improved understanding of CO2 emissions elasticitiesdue to changes in GDP per capita, population and technology is vital both for climate change policy interventions and negotiations; and for generating projections of CO2 emissions. Indeed, the socalled Kaya Identity—essentially IPAT with energy intensity (energy consumption over GDP) and carbon intensity of energy (carbon emissions over energy consumption) in place of technology (T)— plays a core role in the Intergovernmental Panel on Climate Change (IPCC) estimates of future CO2 emissions38. 18 The STIRPAT formulation is amenable to examining the effects of driving factors on impacts along with alternative conceptualizations of the driving forces of environmental impacts17.In this study,theSTIRPAT model estimatedby considering the time dimension of the data,stationarity test, causality, stability and the dynamic interactions of endogenous variables. Besides, energy intensity and carbon intensity considered as technology (T) in our formulation to comprehend the responsiveness of CO2 emissions in Ethiopian economy.We treat CO2 emissions as the dependent variable and establish the STIRPAT model to analyse the driving forces of CO 2 emissions.The main focus of the discussion is the regression coefficientsthat show the long-run responsiveness of CO2 emissions due to changes in the driving forces ofCO2 emissions. The key finding is that the long-run responsiveness of CO2 emissions for GDP per-capita and energy intensity is positive and significant. The effect of energy intensity on CO2 emissions responsiveness is highest. Thus, whenever the coefficients are positive an increase in any driving forces (GDP per capita and energy intensity) increases impacts (CO2 emissions) through the multiplicative effect on the other driving forces4. The result suggests that higher GDP per-capita can induce more energy consumption (use) and leads to more CO2 emissions in Ethiopia.This result is consistent to the findings by 5(2006) that indicated the effect of energy intensity on CO2 emissions is higher for lower income countries as compared to high and upper income countries.These might be due to high investments that demand energy, higher level of urbanization and the slow improvement of energy efficiency. Besides, the coefficients are exponents in multiplicative function. The result also suggests the impact of the growth of GDP per-capita on CO2 emissions presents an approximately increasing trend with the increase of economic development level. The effect of energy intensity on CO2 emissions is positive because energy intensity is affected by the level of economic development, thus measures should be taken to improve energy-use and energy-consuming structures to reduce the impact of energy intensity on CO 2 emissions. On the other hand, the effect of population on CO2 emissions is negative, which has some similarity with Boserupian view that the impact of population on the state of the environment is likely either a non-relationship between two variables, or even a negative elasticity.This finding is contrary to the Malthusian perspective, which holds that population growth increases environmental impacts.This result supports the findings of 11 (2004) that indicated the high level of consumption even in slow population growth in developed nationsis at least as great threat to the environment as rapid population growth elsewhere. It is also consistent to the argument that global climate change clearly belongs to the developed (affluent) world and its moderately sized population, not to the less developed world and its large population 4. The results from Granger causality test also reveal that all explanatory variables do jointly Granger cause CO2 emission. The findings imply that the relationship between CO2 emissions and the driving factors confirms the existence of unidirectional causality. As a result, measures should be taken to sustainthe driving forces of environmental impacts in order to maintain the level of CO2 emissions.In addition,evidence from this empirical analysis suggests that a detailed understanding of the underlying driving forces of CO2 emissions is required prior to any policy interventionsin Ethiopia in order to 19 achieve the initiativesof CRGE. Our efforts to study the driving forces of CO2 emissions in a more analytical and systematic manner are also greatly improve the acceptance of integrated approach studies. 6. Conclusion Ethiopia initiated the Climate-Resilient Green Economy (CRGE) using sectoral approach and prioritized more than 60 initiatives, which could help to achieve the country’s development goals while limiting greenhouse gas (GHG) emissions to around today’s 150 Mt CO 2 emissions around 250 Mt CO2 emissions in 2030. However, the linkages between the economy and environmental impacts, and the responsiveness of CO2 emissions due to changes in economy still require further investigation. In addition, the scientific knowledge of the driving forces behind environmental impacts is meager in Ethiopia economy context. Thus, improved understanding of CO2 emissions elasticities due to changes in GDP per-capita, population and technology is vital both for climate change policy interventions and negotiations, and for generating projections of CO2 emissions. This study explores the humanenvironment interactions using an integrated approach to analyse the driving forces of CO2 emissions and its responsiveness in Ethiopia. This study applied the so-called environmental impacts are the multiplicative product of Population, Affluence, and Technology (IPAT) identity as a framework to assess the driving forces of CO2 emissions using vector autoregressive (VAR) model specification with co-integration and Vector Error Correction Model (VECM). The approach illustrated in this paper serves as a demonstration of the integrated research, combining the environmental approach and time-series data analysis in a coherent manner that is interactive and comprehensive for seeking better understanding of a unique environmental concern.Consequently, we anticipate that our analytical and integrated approach increases the relevance of studies to better understanding of human-environment interactions. The finding indicates that the long-run responsiveness of CO2 emissions for GDP per-capita and energy intensity is positive and significant. The effect of energy intensity on CO 2 emissions responsiveness is highest.These might be due to high investments that demand energy, higher level of urbanization and the slow improvement of energy efficiency. This result implies that higher GDP per-capita can induce more energy consumption and more CO2 emissions in Ethiopia context. The impact of population on CO2 emissions is negative, which has some similarity with Boserupian view and contrary to the Malthusian perspective, which holds that population growth increases environmental impacts.Therefore, considering the driving forces and the responsiveness of CO2 emissions would enable us to inform decision-makers to make emission reduction measures and to maintain economic development, population, and energy use, especially in lower-income level countries. Acknowledgments: This research is financed by the Environmental Economics Unit (EEU), at the Department of Economics, University of Gothenburg (UoG).We are very grateful for the Environment for Development (EfD) initiative at the Environment and Climate Research Center (ECRC) and Ethiopian Development Research Institute (EDRI) for their countless support in facilitating countless issues and favorable research environment. 20 Reference 1. Mpakati-Gama, E. C., Wamuziri, S. & Sloan, B. Environmental monitoring and evaluation in SubSahara Africa – a state of the art review. Built, The Review, Human Environment4, 56–63 (2011). 2. IAASTD. Agriculture at Crossroads: Sub-Saharan Africa. (2009). 3. EPA. Ethiopia Environment Outlook: Environment for Development. (2007). 4. York, R., Rosa, E. A. & Dietz, T. Bridging Environmental Science with Environmental Policy : Plasticity of Population , Affluence , and Technology. 83, (2002). 5. Fan, Y., Liu, L.-C., Wu, G. & Wei, Y.-M. 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