| Literature DB >> 35536397 |
Mehdi Ben Jebli1, Mara Madaleno2, Nicolas Schneider3, Umer Shahzad4.
Abstract
Over the past three decades, researchers have extensively examined the environmental Kuznets curve (EKC) hypothesis. Despite their early focus on the ecological impacts of anthropogenic development, associated conclusions differ and often conflict. In this study, we conducted a state-of-the-art review of this topic and shed light on the methodological challenges that the literature attempted to overcome so far. Since China is going through structural economic changes and environmental reforms, we relied on this illustrative case and developed an augmented-EKC framework to investigate whether this hypothesis holds between export product diversification and environmental pollution, stratifying by carbon energy content: renewable (Model 1) and fossil energy (Model 2). Quarterly data are collected over the most available and recent period (i.e., 1990Q1-2018Q4) and computed by applying the Quadratic Match-Sum Method (QMS) on annual series. Besides, per capita income and foreign direct investments are included as additional factors to the baseline models specifications. The empirical analysis comprises the Clemente-Montanes-Reyes unit root test with structural break and additive outlier, the autoregressive distributed lag (ARDL) bounds test for cointegration, the Granger causality test, and dynamic (DOLS) and fully modified OLS (FMOLS) estimators, followed by robustness checks confirming the stability of the coefficients exhibited in the two autoregressive settings. For both models, empirical results failed to support the existence of an inverted-U-shaped relationship among export product diversification and carbon release from fuel combustion in China. Also, as income grows, low-carbon resources seem improving export diversification and vice versa. Related findings are thought to bring robust inferences able to complement the existing literature and open a fruitful research direction.Entities:
Keywords: Carbon emissions; China; FMOLS; Literature survey
Mesh:
Substances:
Year: 2022 PMID: 35536397 PMCID: PMC9085558 DOI: 10.1007/s10661-022-10037-4
Source DB: PubMed Journal: Environ Monit Assess ISSN: 0167-6369 Impact factor: 3.307
Summary of EKC studies on the growth-pollution nexus: multi-country approach
| Grossman and Krueger ( | 42 economies | 1977–1988 | FE | Ø | Yes |
| Shafik and Bandyopadhyay ( | 149 economies | 1960–1990 | FE | Ø | Yes |
| Panayotou ( | 68 economies | 1988 | OLS | T | Yes |
| Selden and Song ( | 30 economies | 1979–1987 | RE, FE | Ø | Yes |
| Moomaw and Unruh ( | 16 transition economies | 1950–1992 | OLS, FE | Ø | No |
| Agras and Chapman ( | 34 economies | 1971–1991 | FE | T | No |
| Dinda et al. ( | 33 economies | 1979–1990 | OLS | Ø | Yes |
| Gangadharan and Valenzuela ( | 51 economies | 1998 | OLS and 2SLS | T | No |
| Stern and Common ( | 73 economies | 1960–1990 | FE, RE | Ø | Yes |
| York et al. ( | 142 economies | 1996 | STIRPAT | Ø | Yes |
| Cole ( | OECD economies | 1980–1997 | FE and RE | Ø | Yes |
| Dijkgraaf and Vollebergh ( | 24 economies | 1960–1997 | OLS | Ø | Yes |
| Acaravci and Ozturk ( | 19 EU economies | 1960–2005 | ARDL | T | No |
| Apergis and Payne ( | 6 central American economies | 1971–2004 | VECM | T | Yes |
| Lean and Smyth ( | 5 ASEAN economies | 1980–2006 | DOLS | T | Yes |
| Leitão ( | 94 economies | 1981–2000 | FE, RE | T | Yes |
| Lee et al. ( | 97 economies | 1980–2001 | GMM | Ø | Mixed |
| Narayan and Narayan ( | 43 developing economies | 1980–2004 | Panel cointegration | Ø | No |
| Jaunky ( | 36 high-income economies | 1980–2005 | GMM and VECM | Ø | Yes |
| Arouri et al. ( | 12 MENA economies | 1981–2005 | CCE | T | No |
| Castiglione et al. ( | 28 economies | 1996–2008 | OLS | T | Yes |
| Iwata et al. ( | 11 OECD economies | 1960–2003 | ARDL | NE | Yes |
| Ben Jebli et al. ( | 25 OECD economies | 1980–2009 | FMOLS, DOLS | R | Yes |
| Baek ( | 12 nuclear energy consuming economies | 1980–2009 | FMOLS, DOLS | NE | No |
| Baek ( | Arctic economies | 1960–2010 | ARDL | T | No |
| Heidari et al. ( | 5 ASEAN economies | 1980–2008 | PSTR | T | No |
| Bilgili et al. ( | 17 OECD economies | 1977–2010 | FMOLS, DOLS | R | Yes |
| Kais and Sami ( | 58 economies | 1990–2012 | GMM | T | Yes |
| Lin et al. ( | 5 African economies | 1980–2011 | STIRPAT | T | No |
| Antonakakis et al. ( | 106 economies | 1971–2011 | VAR, IRF | T | No |
| Aye and Edoja ( | 31 developing economies | 1971–2013 | DHC, DPTR | T | No |
| Zaman and Abd-el Moemen ( | 90 economies | 1975–2015 | GMM | T | Yes |
| Cai et al. ( | G-7 economies | 1965–2015 | ARDL | RE | No |
| Sarkodie ( | 17 African economies | 1971–2013 | RE, FE, WC, ECM | T | Yes |
| Haseeb et al. ( | BRICS economies | 1993–2013 | WC, DHC | T | Yes |
| Hu et al. ( | 25 developing economies | 1996–2012 | OLS, DOLS | R | No |
| Alshubiri and Elheddad ( | 32 OECD economies | 1990–2015 | GMM, FE | Ø | Yes |
| Kong and Khan ( | 14 developed and 15 developing economies | 1977–2014 | VECM, GMM | Ø | Yes |
| Le ( | 10 ASEAN economies | 1993–2014 | FE, RE | Ø | Yes |
| Dogan and Inglesi-Lotz ( | 7 EU economies | 1980–2014 | PPC, FMOLS | T | Yes |
| Adeel-Farooq et al. ( | 6 ASEAN economies | 1985–2012 | MG, PMG | Ø | Yes |
| Leal and Marques ( | 20 OECD economies | 1990–2016 | ARDL | F/R | Yes |
| Moutinho et al. ( | 12 OPEC economies | 1992–2015 | PCSE | T | No |
| Pata and Aydin ( | 6 hydropower consuming economies | 1965–2016 | ARDL | R | No |
| Akadırı et al. ( | BRICS countries | 1995–2018 | PMG-ARDL | F | Yes (LR) |
| Murshed et al. ( | 6 South Asian countries | 1980–2016 | AMG, CCE-MG | F | Yes |
T, F, and R refer to total energy consumption, fossil fuel energy consumption, and renewable energy consumption, respectively. Ø indicates that no energy consumption data were included in the estimation model. “Yes” indicates that the EKC hypothesis is supported, while “No” refers to its empirical rejection. LR corresponds to Long-Run. 2SLS 2 stages least squares, AMG augmented mean group, ARDL autoregressive distributed lag bounds, CCE-MG common correlated effects mean group estimator, DHC Dumitrescu-Hurlin causality test, DOLS dynamic ordinary least squares, ECM error correction model, FE fixed effects, FMOLS fully modified ordinary least squares, GMM generalized method of moments, IRF impulse response function, MG mean group, OLS ordinary least squares, PCSR panel corrected standard errors, PMG-ARDL pooled mean group-autoregressive distributed lag model, PPC Pedroni panel cointegration, PSTR panel smooth transition regression, RE random effects, STIRPAT stochastic regression on population, affluence, and technology, VAR vector auto-regressive, VECM vector error correction model, WC Westerlund cointegration
Summary of EKC studies on the growth-pollution nexus: single-country approach
| Soytas et al. ( | US | 1960–2004 | GC | T | No |
| Jalil and Mahmud ( | China | 1975–2005 | ARDL | T | Yes |
| Fodha and Zaghdoud ( | Tunisia | 1961–2004 | VECM | Ø | Yes |
| Iwata et al. ( | France | 1970–2003 | ARDL | NE | Yes |
| Fei et al. ( | China | 1985–2007 | OLS | T | No |
| Alam et al. ( | India | 1971–2016 | GC, TYC, IRF | T | No |
| Baek and Kim ( | Korea | 1971–2007 | ARDL | F/R/N | Yes |
| Shahbaz et al. ( | Romania | 1980–2010 | ARDL, VECM, GC | T | Yes |
| Shahbaz et al. ( | Tunisia | 1971–2010 | VECM | Ø | Yes |
| Yang and Zhao ( | India | 1970–2008 | GC | T | No |
| Balibey ( | Turkey | 1974–2011 | VAR, IRF | Ø | No |
| Ahmad et al. ( | India | 1971–2014 | ARDL, GC | F | No |
| Saboori et al. ( | Malaysia | 1980–2009 | ARDL | Ø | Yes |
| Wang et al. ( | China | 1990–2012 | VECM, IRF, GC | T | No |
| Mikayilov et al. ( | Azerbaijan | 1992–2013 | DOLS, FMOLS | T | No |
| Pata ( | Turkey | 1974–2014 | ARDL, FMOLS | R | Yes |
| Hasanov et al. ( | Kazakhstan | 1992–2013 | FMOLS | Ø | No |
| Isik et al. ( | US (50 States) | 1980–2015 | AMG | F | Yes |
| Işık et al. ( | US (10 States) | 1980–2015 | FE, CCE | R | Yes |
| Iskandar ( | Indonesia | 1981–2016 | ARDL | Ø | No |
| Rana and Sharma ( | India | 1982–2013 | TYC | Ø | Yes |
| Koc and Bulus ( | Korea | 1971–2017 | ARDL | T/R | No |
| Minlah and Zhang ( | Ghana | 1960–2014 | RWGC | Ø | No |
| Pata and Caglar ( | China | 1980–2016 | ARDL | R | No |
| Sarkodie and Ozturk ( | Kenya | 1971–2013 | ARDL, ECM | T/R | Yes |
| Sarkodie et al. ( | China | 1961–2016 | ARDL | F/R | Yes |
| Sun et al. ( | China | 1990–2017 | VAR, GC | T | Yes |
| Ongan et al. ( | US | 1991–2019 | DA | F/R | Yes |
| Shikwambana et al. ( | South Africa | 1994–2019 | SQMK | Ø | No |
T, F, NE, and R refer to total energy consumption, fossil fuel energy consumption, nuclear energy consumption, and renewable energy consumption, respectively. Ø indicates that no energy consumption data were included in the estimation model. “Yes” indicates that the EKC hypothesis is supported, while “No” refers to its empirical rejection. AMG augmented mean group, ARDL autoregressive distributed lag bounds, CCE common correlated effects, DA decomposition analysis, FMOLS fully modified ordinary least squares, GC Granger causality test, IRF impulse response function, OLS ordinary least squares, RWGC rolling window Granger causality, SQMK sequential Mann–Kendall test, TYC Toda-Yamamoto causality test, VAR vector auto-regressive, VECM vector error correction model
Summary of EKC studies on the export diversification-pollution nexus
| Gozgor and Can ( | Turkey | 1971–2010 | DOLS | T | Yes |
| Apergis et al. ( | 19 advanced countries | 1962–2010 | ARDL, QPR | Ø | Yes |
| Liu et al. ( | Japan, Korea, and China | 1990–2013 | VECM | Ø | Yes (Japan and Korea only) |
| Liu et al. ( | 125 countries | 2000–2014 | FE, DKSE | Ø | Mixed |
| Can et al. ( | 84 developing countries | 1971–2014 | ARDL, DOLS, FMOLS | T | Yes |
| Mania ( | 98 countries | 1995–2013 | GMM, PMG | Ø | No |
| Shahzad et al. ( | 63 developing countries | 1971–2014 | FE, GMM | T | - |
| Wang et al. ( | G-7 countries | 1990–2017 | CS-ARDL | RE | - |
| Khan et al. ( | RCEP signatories | 1987–2017 | WC, CS-ARDL | RE | Yes |
| Jiang et al. ( | 96 countries | 1991–2018 | CCE-MG, FMOLS, DOLS | Ø | - |
| Ali et al. ( | India | 1965–2017 | STIRPAT | Ø | Yes |
T refers to total energy consumption. Ø indicates that no energy consumption data were included in the estimation model. “Yes” indicates that the EKC hypothesis is supported, while “No” refers to its empirical rejection. “Mixed” indicates that the authors concluded to mixed evidence regarding the effective validity of the EKC. “-” indicates that investigating the validity of the EKC was not the explicit aim of the paper. ARDL autoregressive distributed lag bounds, CCE-MG common correlated effects mean group estimator, CS-ARDL cross-sectionally augmented autoregressive distributed lag, DKSE Driscoll-Kraay standard errors, DOLS dynamic ordinary least squares, FE fixed effects, FMOLS fully modified ordinary least squares, GMM generalized method of moments, PMG pooled mean group, STIRPAT stochastic impact regression on population, affluence and technologies, QPR quantile panel regression, WC Westerlund cointegration test
Data specification
| Indicator | Acronym | Measure | Source |
|---|---|---|---|
| CO2 emissions from fuel combustion | Thousand tons | IEA CO2 Emissions from Fuel Combustion Statistics ( | |
| Export product diversification | Index | UNCDAT Database ( | |
| Fossil fuel consumption | Kilo tons of oil equivalent (ktoe) | OECD Environment Statistics ( | |
| Renewable consumption | Kilo tons of oil equivalent (ktoe) | OECD Environment Statistics ( | |
| Per capita GDP | PPP, constant 2017 international US dollar $ | World Development Indicators (WDI, | |
| Foreign direct investments | Net inflows (BoP, current US$) | World Development Indicators (WDI, |
Fig. 1An environmental Kuznets curve (EKC). Source: Kaika and Zervas (2013)
Fig. 2Eq. (1)’s empirical specifications, several interpretations regarding income-environment nexus. Source: Sarkodie and Strezov (2019)
Descriptive statistics
| E | Y | RE | NRE | FDI | EPD | |
|---|---|---|---|---|---|---|
| Mean | 0.004112 | 6314.643 | 0.000132 | 0.000380 | 87.62640 | 0.453307 |
| Median | 0.003659 | 4817.131 | 0.000136 | 0.000331 | 52.55658 | 0.456200 |
| Maximum | 0.006841 | 15,243.25 | 0.000177 | 0.000570 | 214.3309 | 0.477983 |
| Minimum | 0.001840 | 1423.702 | 8.18E-05 | 0.000217 | 3.071746 | 0.403262 |
| Std. Dev | 0.001867 | 4154.148 | 3.43E-05 | 0.000129 | 66.77084 | 0.016883 |
| Skewness | 0.271139 | 0.640016 | − 0.164452 | 0.199316 | 0.509105 | − 1.596047 |
| Kurtosis | 1.394743 | 2.076314 | 1.441137 | 1.346145 | 1.799518 | 4.826402 |
| Jarque–Bera | 13.51723 | 11.73164 | 11.95085 | 13.62660 | 11.66681 | 63.68121 |
| Probability | 0.001161 | 0.002835 | 0.002540 | 0.001099 | 0.002928 | 0.000000 |
| Sum | 0.464683 | 713,554.7 | 0.014959 | 0.042989 | 9901.783 | 51.22369 |
| Sum Sq. Dev | 0.000391 | 1.93E + 09 | 1.32E-07 | 1.87E-06 | 499,334.7 | 0.031924 |
| Observations | 113 | 113 | 113 | 113 | 113 | 113 |
E shows the total carbon emissions, Y presents GDP per capita, RE shows renewable energy, NRE shows non-renewable energy, FDI shows Foreign direct investments and, EPD indicates export product diversification. Descriptive is reported for quarterly data before converting to the logarithm
Clemente–Montanes–Reyes unit root findings
| Innovative outlier method | Additive outlier method | |||||
|---|---|---|---|---|---|---|
| Variables | t-statistic | Time break | Decision | t-statistic | Time break | Decision |
| e | − 5.025*** | 1975q3, 1982q2 | I(1) | − 1.875* | 1972q1, 1981q1 | I(1) |
| y | − 7.451*** | 1977q3, 1981q4 | I(1) | − 2.745*** | 1971q1, 1977q1 | I(1) |
| re | − 7.335*** | 1978q3, 1969q4 | I(1) | − 2.790*** | 1976q1, 1969q1 | I(0) |
| nre | 2.894*** | 1975q3, 1973q1 | I(1) | 4.054*** | 1972q1, 1969q1 | I(1) |
| fdi | − 8.125*** | 1975q2, 1963q4 | I(1) | − 1.948* | 1974q1, 1963q1 | I(1) |
| epd | − 6.585*** | 1985q3, 1982q4 | I(1) | − 4.241*** | 1984q1, 1983q1 | I(1) |
e shows the total carbon emissions, y presents GDP per capita, re shows renewable energy, nre shows non-renewable energy, fdi shows Foreign direct investments, and, epd indicates export product diversification. ***, **, * denote statistical significance at the 1%, 5%, and 10% levels, respectively
F-bound test for ARDL model with renewable energy consumption
| F-bounds test | Null hypothesis: no levels relationship | |||
|---|---|---|---|---|
| Test statistic | Value | Significance | I(0) | I(1) |
| F-statistic | 4.591632*** | 10% | 2.2 | 3.09 |
| k | 4 | 5% | 2.56 | 3.49 |
| 2.5% | 2.88 | 3.87 | ||
| 1% | 3.29 | 4.37 | ||
***denotes significance level at 1% with upper and lower boundaries. F bound test is more than lower and upper bound values of 1% in both cases
F-bound test for ARDL model with non-renewable energy consumption
| F-bounds test | Null hypothesis: no levels relationship | |||
|---|---|---|---|---|
| Test statistic | Value | Significance | I(0) | I(1) |
| F-statistic | 5.207888*** | 10% | 2.2 | 3.09 |
| k | 4 | 5% | 2.56 | 3.49 |
| 2.5% | 2.88 | 3.87 | ||
| 1% | 3.29 | 4.37 | ||
***denotes significance level at 1% with upper and lower boundaries. F bound test is more than lower and upper bound values of 1% in both cases
ARDL empirics with renewable energy consumption
| Variable | Coefficient | Std. error | t-statistic | Prob |
|---|---|---|---|---|
| Short-run estimates | ||||
| D(E(-1)) | 0.7599*** | 0.0479 | 15.836 | 0.0000 |
| D(Y) | 0.8089*** | 0.1398 | 5.7824 | 0.0000 |
| D(EPD) | 0.9100*** | 0.1323 | 6.8738 | 0.0000 |
| D(EPD(-1)) | − 0.7190*** | 0.1381 | − 5.2035 | 0.0000 |
| CointEq(-1)* | − 0.0421*** | 0.00784 | − 5.3771 | 0.0000 |
| Long-run estimates | ||||
| Y | 0.6588*** | 0.1801 | 3.6579 | 0.0004 |
| RE | − 0.6487** | 0.2672 | − 2.4275 | 0.0170 |
| FDI | − 0.1050* | 0.0575 | − 1.8257 | 0.0708 |
| EPD | 1.9510*** | 0.5044 | 3.8677 | 0.0002 |
| C | − 15.393*** | 1.2950 | − 11.886 | 0.0000 |
The dependent variable is total carbon emissions. ARDL regression is applied with restricted constant and no trend. Lags are auto-selected. ***, **, * denote statistical significance at the 1%, 5%, and 10% levels, respectively
ARDL empirics with non-renewable energy consumption
| Variable | Coefficient | Std. error | t-statistic | Prob |
|---|---|---|---|---|
| Short-run estimates | ||||
| D(E(-1)) | 0.7095*** | 0.058347 | 12.16068 | 0.0000 |
| D(Y) | 0.7739*** | 0.160358 | 4.826519 | 0.0000 |
| D(Y(-1)) | − 0.3046* | 0.169663 | − 1.795578 | 0.0757 |
| D(NRE) | 0.4011*** | 0.030809 | 13.01928 | 0.0000 |
| D(NRE(-1)) | − 0.2556*** | 0.037824 | − 6.758538 | 0.0000 |
| D(FDI) | 0.00513 | 0.004364 | 1.176936 | 0.2421 |
| D(EPD) | 0.48246*** | 0.092111 | 5.237840 | 0.0000 |
| D(EPD(-1)) | − 0.2727*** | 0.097468 | − 2.798735 | 0.0062 |
| CointEq(-1)* | − 0.1193*** | 0.020820 | − 5.732191 | 0.0000 |
| Long-run estimates | ||||
| Y | 0.5529*** | 0.024496 | 22.57407 | 0.0000 |
| NRE | 0.4239*** | 0.020929 | 20.25525 | 0.0000 |
| FDI | − 0.0326*** | 0.010880 | − 3.004338 | 0.0034 |
| EPD | 0.5754*** | 0.116934 | 4.921272 | 0.0000 |
| C | − 6.4199*** | 0.293441 | − 21.87831 | 0.0000 |
The dependent variable is total carbon emissions. ARDL regression is applied with restricted constant and no trend. Lags are auto-selected. ***, **, * denote statistical significance at the 1%, 5%, and 10% levels, respectively
Diagnostic testing for ARDL model with renewable energy consumption
| Diagnostic tests | Statistic | Prob |
|---|---|---|
| Normality (Jarque Bera) | 0.531528 | 0.7666 |
| Serial correlation (Breusch-Godfrey Serial Correlation LM) | 0.245911 | 0.7844 |
| Heteroskedasticity test: Breusch-Pagan-Godfrey | 1.552074 | 0.2104 |
Heteroscedasticity, serial correlation, normality, and homoscedasticity tests are also proved as normal, as the p‐value of each is more than 5%
Diagnostic testing for ARDL model with non-renewable energy consumption
| Diagnostic tests | Statistic | Prob |
|---|---|---|
| Normality (Jarque Bera) | 1.062536 | 0.5878 |
| Serial correlation (Breusch-Godfrey Serial Correlation LM) | 0.034163 | 0.9664 |
| Heteroskedasticity test: Breusch-Pagan-Godfrey | 0.746605 | 0.7131 |
Heteroscedasticity, serial correlation, normality, and homoscedasticity tests are also proved as normal, as the p‐value of each is more than 5%
Fig. 3A CUSUM stability model with renewable energy. B CUSUM stability model with non-renewable energy
FMOLS and DOLS estimates
| Model with RE | Model with NRE | |||
|---|---|---|---|---|
| Variables | FMOLS | DOLS | FMOLS | DOLS |
| EPD | 42.67986*** | 41.39243*** | 13.18445*** | 12.80627*** |
| EPD2 | 25.43469*** | 24.61689*** | 7.740532*** | 7.470375*** |
| Y | 0.055536 | 0.138127 | 0.472951*** | 0.468814*** |
| RE | − 1.269288*** | − 1.144604*** | - | - |
| NRE | - | - | 0.503999*** | 0.515289*** |
| FDI | 0.085175 | 0.064760 | − 0.014145 | − 0.015191 |
“***”indicates statistical significance at the 1% level
Pairwise Granger causality empirics
| Null hypothesis: | Obs | F-statistic | Prob |
|---|---|---|---|
| Y does not Granger cause E | 111 | 3.22141** | 0.0438 |
| E does not Granger cause Y | 2.75916* | 0.0679 | |
| RE does not Granger cause E | 111 | 1.50677 | 0.2263 |
| E does not Granger cause RE | 3.93464** | 0.0225 | |
| NRE does not Granger cause E | 111 | 1.98336 | 0.1427 |
| E does not Granger cause NRE | 2.17342* | 0.1088 | |
| FDI does not Granger cause E | 111 | 0.04136 | 0.9595 |
| E does not Granger cause FDI | 7.29374** | 0.0011 | |
| EPD does not Granger cause E | 111 | 0.67399 | 0.5118 |
| E does not Granger cause EPD | 2.16436* | 0.1099 | |
| RE does not Granger cause Y | 111 | 0.16614 | 0.8472 |
| Y does not Granger cause RE | 5.72487** | 0.0044 | |
| NRE does not Granger cause Y | 111 | 2.34325* | 0.1010 |
| Y does not Granger cause NRE | 3.72432** | 0.0273 | |
| FDI does not Granger cause Y | 111 | 3.77191** | 0.0262 |
| Y does not Granger cause FDI | 7.32629** | 0.0010 | |
| EPD does not Granger cause Y | 111 | 0.24178 | 0.7857 |
| Y does not Granger cause EPD | 3.09120** | 0.0496 | |
| NRE does not Granger cause RE | 111 | 0.10459 | 0.9008 |
| RE does not Granger cause NRE | 2.13927 | 0.1228 | |
| FDI does not Granger cause RE | 111 | 0.98127 | 0.3782 |
| RE does not Granger cause FDI | 4.78434** | 0.0102 | |
| EPD does not Granger cause RE | 111 | 0.30863 | 0.7351 |
| RE does not Granger cause EPD | 4.95694*** | 0.0088 | |
| FDI does not Granger cause NRE | 111 | 0.93338 | 0.3964 |
| NRE does not Granger cause FDI | 3.51268** | 0.0333 | |
| EPD does not Granger cause NRE | 111 | 0.38512 | 0.6813 |
| NRE does not Granger cause EPD | 1.54362 | 0.2184 | |
| EPD does not Granger cause FDI | 111 | 0.59123 | 0.5555 |
| FDI does not Granger cause EPD | 0.80794 | 0.4485 |
***, **, *denote statistical significance at the 1%, 5%, and 10% levels, respectively. Causality is tested with 2 lags
| I. If β1 = β2 = β3 = 0, (x and y have no association) | (a) |
| II. If β1 > 0, β2 = β3 = 0, (x and y have positive monotonic relationship) | (b) |
| III. If β1 < 0, β2 = β3 = 0, (x and y have negative monotonic relationship) | (c) |
| IV. If β1 > 0, β2 < 0, β3 = 0, (x and y have inverted U-shaped structure) | (d) |
| V. If β1 < 0, β2 > 0, β3 = 0, (x and y have U-shaped structure) | (e) |
| VI. If β1 > 0, β2 < 0, β3 > 0, (x and y have N-shaped relation) | (f) |
| VII. If β1 < 0, β2 > 0, β3 < 0, (x and y have inverted N-shaped relation) | (g) |