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Ecological footprint, CO2 emissions and economic growth in Qatar : Evidence from a Markov
Switching Equilibrium Correction Model
Charfeddine Lanouar1,
Department of Finance and Economics, College of Business and Economics,
Qatar University, Qatar.
Abstract
Reducing the impact of air pollution and global environment degradation on Human health
and the quality of Qatari living is one of the most important pillars of Qatar 2030 vision.
With respect to this vision, we examine the effects of economic growth, energy
consumption, urbanization, openness trade and financial development on environment
quality during the period 1975-2011 in Qatar. Unlike the existing studies, we use the
ecological footprint and the 𝐶𝑂2 emissions as indicators of environment degradation.
Moreover, we use Markov Switching Equilibrium Correction Model with shifts in both the
intercept and the income per capita coefficient. Our finding show strong evidence for
cointegration with Markov shifts. We found, for both pollutants, that the EKC hypothesis
holds for the Qatar economy when accounting for possible shifts. Moreover, we found that
financial development, urbanization and openness trade worse environment. In contrast,
we found that the effect of electricity consumption on 𝐶𝑂2 emissions is positive and
negative for ecological foot print.
Keywords : Environment degradation, EKC, CO2, foot print, economic growth, Cointegration
with Markov shifts.
JEL classification :
1 P.O.Box: 2713-Doha-Qatar. Email : [email protected]. Office : (+974) 4403-7764, Fax : (+974) 4403-5081.
2
1. Introduction
“Long live the planet. Live Humanity. Long live life itself.” With this slogan of the COP21 Paris
climate change conference of November-December 2015, there is actually no doubt in the priority
of preserving the planet from the growing warmer of the earth’s atmosphere in the coming years.
The main outcome from this conference, is the large commitment of more than 187 countries
around the world to reducing their greenhouse gas in order to keep the rise in temperature below
the level of 2°C. Human activity and rapid population increases are the most two important factors
largely advanced to explain increases of Greenhouse Gases (GHS). The U.S and China are the
largest emitter in the world with 21 percent and 15 percent respectively in absolute term (World
Resources Institute, 2005). However, focusing on absolute pollutant level will gives a partial
understanding and does not lead to completely understanding the overall reality about environment
degradation. Thus, it is very important to have a deeper investigation in term of relative pollutants
and in its key determinants. This is of great importance and for a particular interest especially when
dealing with a countries characterized by high level of pollutant per capita such as CO2 emissions
per capita or ecological footprint per capita.
This paper investigates the relationship between environment degradation and economic growth
as well as with some others key determinants of environment degradation in Qatar. This paper is
mainly motivated by the controversy effects of the rapid economic development that have
experienced Qatar in the last four decades due to its abounded hydrocarbon resources. This rapid
economic growth has severely affected the environment quality of the country and has increased
the need to preserve and protect its ecosystem including water, air and lands. The current situation
of Qatar in term of environment degradation is very critical. For instance, according to the World
Bank Indicators (WBI, 2011), Qatar is ranked the first in term of 𝐶𝑂2 emissions per capita and the
second in term of ecological footprint per capita according to the Living Planet Report of 2014.
Following the WWF’s Living Planet Report of 2014, “if all people on the planet had the Footprint
of the average resident of Qatar, we would need 4.8 planets”.
Moreover, Qatar 2030 vision has given a high importance to questions related to air pollution,
climate change and their impacts on economic sustainability. For example, three out of the four
pillars of Qatar 2030 vision are directly or indirectly related to preserving the environment2. Air
pollution, global greenhouse gases (GHG), water pollution and water resources degradation are
among the most serious environmental concerns that actually encounter the country. In addition,
the needs for a high level of economic growth accompanied with a rapid increase of urbanization
and international trade have made a strong pressure in the country energy use considered as the
main source of CO2 emissions of the country.
The Qatar situation in term of air pollution is also very worrying, the local air pollution levels in
Qatar has frequently exceeded recommended levels and are more time higher than the international
standards. In fact, compared to the WHO’s standards of the 24-hour and annual averages
concentration of 50 𝜇g/m3and 20 𝜇g/m3 for PM10 the Qatar’s national air quality standards are
far from these values. For instance, the values for PM10 is around 150 𝜇g/m3 for 24 hours average
concentration and around 50 𝜇g/m3 for the annual average concentration (see the world health
2 The four pillars of Qatar 2030 visions are : (1) economic development, (2) social development, (3) human
development, and (4) environmental development.
3
organization, WHO). These high level have increased the likelihood of diseases related to the
respiratory system such as asthma, chronic obstructive pulmonary disease among many others.
Given that situation, several important questions arise for this country.
1. Is a continuous rise of income positively monotonically associated with environmental
degradation proxy? Or is the relationship nonlinear (U-or Inverted U-shaped)?
2. Which are the most important determinants (macroeconomic and financial variables) of
environmental degradation?
3. What it the type of the relationship between environmental degradation proxy and its
determinants? Is the relationship linear or non-linear?
4. Is the environment degradation- economic growth nexus environmental degradation proxy
dependent?
5. Finally, how is the causal relationship between environment degradation proxies and its
key determinants?
The answers to these questions are critical at this stage of economic development of the Qatar
economy and are of particular interest for building and designing the appropriate strategies for
reducing environment degradation.
The first question which is related to the relationship between environment degradation and
economic growth can be answered by examining the type of the relationship between the
environment degradation proxy and income proxy. In the empirical literature, recent studies have
focused on whether the Environmental Kuznets Curve (EKC) hypothesis holds or not. Following
the EKC hypothesis, the relationship between economic growth and environment degradation is
inverted-U-shaped. From the economic perspective, this means that initially economic growth
increases environment degradation and then declines it after a threshold point of income per capita.
More specifically, at initial level of economic growth, an increase in income is linked with an
increase in energy consumption that raises environment degradation. However, after reaching a
critical level of income, the spending on environment protection is increased, and hence
environment degradation tend to decrease.
In the economic theory, three effects-types has been advanced as a channels through which
economic growth impacts environment quality. The first channel is the scale effect which
postulates that as the economy develop more inputs are needed in term of energy consumption,
water, etc… inducing more degradation of the environment quality. The second channel is the
composition effect following which as the economy develop the economic structure changes and
switch from an agriculture based economy to an industrial based economy, and then to a service
based economy. All along these switching processes, the needs of the economy changes and their
impact on the environment changes also. Finally, the last channel corresponds to the technique
effect which has a positive effect on the environment quality and which drives the curve
downward.
Following this relationship, to improve environmental quality the best way is to become rich (see
for instance Beckerman, 1992; and Cole, 1999). From an econometrical or statistical perspectives,
the EKC hypothesis can be tested by estimating the EKC equation which relies the environment
degradation proxy to the real GDP and to a nonlinear term of the real GDP (the squared real GDP).
4
If the EKC hypothesis holds then the real GDP and the squared real GDP have respectively a
positive and negative signs. This EKC hypothesis has been firstly introduced by Kuznets (1955)
when examining the relationship between economic growth and income inequality which shows
that this relationship is inverted U-shaped. Grossman and Krueger (1995) are the first to examine
this relationship between environment degradation and economic growth in their seminal paper
published on the Quarterly Journal of Economics. They found that this relationship is inverted U-
shaped which validates the EKC hypothesis.
However, until now there is no consensus about the true nature of the relation between real GDP
and environment degradation. Evidence for the EKC hypothesis is very mixed. Overall, the results
seem to depend in many factors including the specification, the pollutants and the econometrics
technique used (Shafik and Bandyopadhyay, 1992; and Stern, 1996, 2001). First, empirical studies
show that the results in term of positive and negative relationships as well as in term of magnitude
differ significantly for the same country depend on the specification studied, linear, quadratic or
cubic. Moreover, the inclusion of other factors in the right hand of the regression such as
urbanization, trade openness, financial development and political stability have a significant
impact on the magnitude of the income per capita variables coefficients. Second, the results differ
significantly following the environment degradation proxy used. For instance, Horvath (1997) and
Holtz-Eakin and Selden (1995) suggest that the use of global pollutants leads to continuously rise
the levels of environment degradation or to a high levels of income per capita turning point, see
also Esteve and Tamarit (2011). Third, the results also seem to depend in the econometric
approach employed.
To answer the second question, we augment the basic EKC equation by adding several
macroeconomic and financial variables such as energy use (electricity consumption), urbanization,
openness trade and financial development. So, by determining which factors explain environment
degradation, policymakers, researchers and international institutions can help on recommending
the adequate economic policies that can improve the environment quality and the live standing of
inhabitants.
In the literature, energy use is considered as the second key determinant of environment
degradation. In the empirical literature several proxies of energy use have been employed such as
energy consumption, energy electricity among many others. The relationship between energy
consumption and environment quality is expected to be positive as energy consumption is
supposed to increase the scale of the economy and worse environment. Several empirical studies
have documented that high level of energy electricity leads to a high level environment of
degradation. Others studies suggest that electricity consumption is an efficient energy and it
decreases environment degradation.
The third potential determinant of environment degradation is urbanization. Previous literature is
inconclusive on the relation between urbanization and environment degradation. Urban studies
advance three theories to explain the channels through which urbanization affects environment
degradation : ecological modernization; urban environmental transition; and compact city theories,
see for instance Poumanyvong and Kaneko (2010). Empirically, a positive relationship between
environment degradation and urbanization is found in several studies (see for instance, Cole and
Neumayer, 2004; York, 2007; Liddle and Lung, 2010; Poumanyvong and Kaneko, 2010; Kasman
and Duman, 2015; among others). In the other hand, a negative relationship is found by Fan et al.
5
(2006), Dodman (2009), Sharma (2011), Hossain (2011) among others. For these authors, the
increase of urban population contributes positively to the development of the structures of
modernity via orienting urbanization towards smart cities, new ICT to shorten the time of
transportation and to spread the usage of e-works, the use of clean and renewable energy sources
which improve environment quality, see for instance Ehrhardt-Martinez (1998). In addition to
these two previous groups of studies, many others studies show that this relationship is ambiguous
and depend in many others factors and especially in the economics structures of each country. For
example, Poumanyvong and Kaneko (2010) show based on a study for 99 countries, using the
stochastic impacts regression on population affluence and Technology model over the period
1975-2005, that urbanization decreases the level of energy use in low-income countries, while it
increases energy use in middle and high-income countries. Recently, Sadorsky (2014) found
mixed results about this relationship and shows that the result depends on the estimation
techniques. More recently, Chikaraishi et al. (2014) show that improving urbanization make
countries more environmentally friendly when the country's GDP per capita and the percentage
share of service industries in GDP are sufficiently high.
The fourth potential determinant of environment degradation is openness trade. Many studies have
showed that the impact of openness trade on environmental quality can be decomposed into scale,
technique, and composition effects, see for instance Antweiler et al. (2001). Empirically, mixed
results have been reported in the previous works. Some studies find a negative relationship
between trade openness and environmental degradation (Shahbaz et al.,2013; Hossain, 2011;
Shaabaz et al., 2012; Jayanthakumaran, 2012). On contrary, other studies find evidence of positive
effect on environmental degradation (Suri and Chapman, 1998; Alber et al., 1999; Kasman and
Duman, 2015 and Ozturk and Acaravci, 2013).
Recent studies in the field supports evidence that financial development is also a key determinant
of environment degradation. Most of studies argue that financial development can affect
environment degradation through efficient/inefficient allocation of financial resources. Moreover,
the development of financial markets can affect positively the environment quality by providing
more funds to investments in research and development on modern and efficient technologies
relating to clean energy. Empirically, there is some evidence of a negative effects of financial
development on environment degradation, see for instance Shahbaz et al. (2013b) for the Indonesia
case, Shahbaz et al. (2013a) for the Malaysia case, Charfeddine and Khediri (2016) for the case of
UAE and Al-mulali and Sab (2012) for thirty Sub Saharan African countries. Ozturk and Acaravci
(2013) find no significant effect of financial development on per capita carbon emissions in the
long- run. In contrast to all these previous results, Boutabba (2014) finds that financial
development increases 𝐶𝑂2 emissions for the India case.
Question three concerns the type of the relationship linking environment degradation and economic
growth and the other explanatory variables. Recent studies in the field provide strong evidence that
this relationship is nonlinear (see for instance Charfeddine and Khediri, 2016; and Shahbaz et al. 2014). Charfeddine and Khediri (2016) show that the 𝐶𝑂2 emissions, real GDP per capita, electricity
consumption, financial development and urbanization are cointegrated and have a long run
relationship. However, the authors show using Gregory and Hansen (1996) and Hatemi-J (2008) that
this long run relationship is characterized by the presence of structural breaks. Esteve and Tamarit
(2011a) examine the long run relationship between 𝐶𝑂2 emissions and income using threshold
cointegration for Spain during the period from 1857-2007. They found evidence for nonlinear
6
relationship using Hansen and Seo (2002) approach. In a second paper Esteve and Tamarit (2011b)
show that linear cointegrated regression model with multiple structural breaks describe better the
relationship between 𝐶𝑂2 emissions and income per capita. The authors found evidence for two
breaks (three regimes) and that the estimated coefficient associated to the income-per capita in the
long run relationship (long run-elasticity) is decreasing overtime. The authors conclude that even if
𝐶𝑂2 emissions per capita is monotonically increasing with income, the long run elasticity of income
decreases overtime and is less than one. In this paper, we follow another way in examining the EKC
hypothesis for Qatar. We consider the possibility of non-linear relationship between environment
degradation proxy and real GDP per capita using Markov switching equilibrium correction model.
The nonlinearity is allowed in both variables (U-shaped versus inverted U-shaped) and parameters
(the intercept and the coefficient associated to the real GDP). To the best of our knowledge this
specification have not been yet used before to investigate the Kuznet curve hypothesis.
To answer the fourth question which aims to examine whether the environment degradation-
economic growth nexus is environment degradation proxy dependent, we use two different proxies
of environment degradation namely : (1) 𝐶𝑂2 emissions per capita which is the most widely used
proxy in the empirical literature, and (2) the ecological footprint proxy which is rarely used in
empirical studies. The ecological footprint proxy is a more global proxy of environment
degradation compared to 𝐶𝑂2 emissions. Ecological footprint is a measure of the demand
populations and activities place on the biosphere in a given year, given the prevailing technology
and resource management of that year.
Finally, the answer to the last question concerning the causality direction between all used
variables is critical for recommending the more appropriate economic policy that are able to reduce
environment degradation. For instance, the causality direction between electricity consumption
and economic growth will provide us with which of the following : growth, conservation, neutral
or feedback hypothesis holds for Qatar.
This paper contributes to the empirical literature of the EKC hypothesis in many ways. First, to
our knowledge this paper is the first to consider the case of the Qatar economy as a single country
to test the EKC hypothesis as well as the different directions of causality between variables.
Second, in addition to the 𝐶𝑂2 emissions largely employed in the empirical literature, in this paper
we employ also the ecological footprint as a new proxy of environmental degradation. Third, we
use recent development of cointegration approach with structural breaks which is also rarely used
for the case of EKC hypothesis. As tests of cointegration with shifts in the cointegration vector,
we use the Gregory and Hansen (1996), Hatemi-J (2008) and to investigate the causal relationship
between all variables using standard Granger causality tests. Fourth, to our knowledge this paper
is the first study that uses Markov Switching Equilibrium Correction Model with shifts in both the
intercept and the income per capita coefficient for the long run relationship between environment
degradation and its key determinants.
The remainder of the paper is organized as follows. Section 2 presents the empirical methodology
to follow. Precisely, it presents how the data is collected and the variables are measured, unit roots
tests with structural breaks and cointegration with single and multiple structural breaks techniques.
Section 4 discusses the empirical findings. Finally, section 5 concludes and propose some policies
that help to reduce environment degradation.
7
2. 𝑪𝑶𝟐 emissions and ecological footprint in Qatar
Which environment degradation proxy is more suitable when investigating the EKC hypothesis?
The answer to this question seems to depend in many factors such as the economic structure and
the stage of economic development of the country under study. However, there is some evidence
among researchers that the EKC hypothesis holds more for local and regional pollutants than for
global pollutants. Recent empirical studies have focused more in global pollutant such as CO2
emissions rather than in local pollutants (see for instance Khedir and Charfeddine, 2016 and
references therein).
In this study, we follow the second trend of literature by using two proxies of environment
degradation namely the CO2 emissions and the ecological footprint indicator. While the data
availability motivate the use of the CO2 indicator, the ecological footprint indicator has emerged
in recent years as an important indicator of environment degradation level. In contrast to the CO2
emissions pollutant largely considered in empirical studies due to the CO2 emissions undesired
effects, or to it is adversely effects on the resource usefulness, the ecological foot print indicator
have the advantage of measuring the total humanity's demand on nature at individual, national,
regional or world level. Moreover, compared to the CO2 emissions, the ecological footprint
indicator is a more global environment degradation proxy which account for cropland, forest,
forest, grazing and crop land as well as fishing land and Carbon emissions.
2.1. Qatar Carbon Dioxide Emissions by source
The actual situation of the state of Qatar in term of both environment degradation proxies (CO2
emissions and ecological footprint) are presented in Figures 1 and 2. Figure 1 report the CO2
emissions per capita for Qatar and the five other GCC countries for comparison. The Qatar,
Kuwait, UAE and Bahrain are among the top 10 emitters of CO2 emissions per capita. Moreover,
as previously indicated Qatar is ranked the first in the world in term of CO2 emissions. For
instance, according to the World Bank data (2010), Qatar greenhouse gases emissions is evaluated
at 40.3 tonnes of carbon dioxide per capita being emitted every year. Compared to the world
average, this figure is around 10 times higher than the global world average evaluated at 4.6 tonnes
per capita.
0
20
40
60
80
100
120
Qatar Bahrain Kuwait Oman Saudi Arabia UAE
8
Figure 1 : CO2 emissions per capita evolution
Four sectors contribute to more than 99% of total CO2 emissions in Qatar. The electricity and heat
production and the manufacturing industries and construction sectors are the largest contributors
to CO2 emissions with a share that present approximately 75% to 85%, see Figure 2. The electricity
and heat production sector contributes highly to the CO2 emissions, this sector contributes
approximately between 45% to 63% during the period of our study. The second contributor to the
CO2 emissions is the manufacturing industries and construction sector with a contribution between
20% and 45%. In contrast to the electricity and heat production sector, the manufacturing
industries and construction sector show in the last years a decreasing of CO2 emissions levels
which can be explained by the regulations laws that limit the amount of CO2 emitted by
manufacturing industries. In addition to these two important sectors, in the last ten years, the
transport sector emerges as the second contributor to CO2 emissions with approximately a same
level than the manufacturing industries and construction sector.
Figure 2 : Qatar Co2 emissions by components
2.2. Qatar foot print by source
In term of ecological footprint, the situation does not differ significantly, Qatar in ranked the
second in the word. Moreover, from Figure 3, one can conclude that Carbon dioxide is the bigger
contributor to ecological footprint indicator. This can be largely explained by the rapid increase of
the transportation, industrial and domestic fuel burning as well as the industrial process since
discovering the oil and gas resources at the end of 1970.
0
10
20
30
40
50
60
70
80
90
100in (%)
Years
Electricity and heat production
Manufacturing industries and construction
Residential buildings, commercial and public services
Transport
9
Figure 3 : Qatar ecological footprint by components
3. Empirical methodology
Since the objective of this paper is to investigate the true nature of the relationship between 𝐶𝑂2 emissions and ecological foot print to their macroeconomic and financial variables, we begin in
subsection 2.1. by presenting the data sources and how variables are constructed. Then, in
subsection 2.2., we introduce the Markov Switching Equilibrium Correction Model (MS-ECM),
the Silvestre et al. (2009) unit root tests with structural breaks, the Gregory and Hansen (1996) and
Hatemi-J (2008) tests for cointegration with structural breaks and the Granger causality test.
3.1. Data and variables description
3.1.1. Data
This paper uses macroeconomics and financial data, including CO2 emissions, ecological foot
print, real GDP per capita, energy use, urbanization, financial development and openness trade, to
investigate the EKC hypothesis for the Qatar economy. All the dataset except the ecological foot
print variable are collected from the world Bank’s development indicators (WDI). The ecological
footprint data is obtained from the National Footprint Accounts (NFAs) of the Global Footprint
Network. This variable is employed as second proxy of environment degradation measures.
The data set used in this paper is annual data which covers the period 1975Q1 to 2007Q4 for
variables used for ecological footprint equation and covers the periods 1980Q1 to 2010Q4 for the
CO2 emissions equations variables. To account for possible existence of structural break in the
cointegration vector we convert the annual frequency data to quarterly frequency data using the
0
2
4
6
8
10
12
196
1
196
3
196
5
196
7
196
9
197
1
197
3
197
5
197
7
197
9
198
1
198
3
198
5
198
7
198
9
199
1
199
3
199
5
199
7
199
9
200
1
200
3
200
5
200
7
200
9
201
1
201
3
201
5
Nu
mb
er o
f E
art
hs
dem
an
ded
Carbon
Built_up_Land
Fishing_Ground
Forest_Land
Grazing_Land
Crop_Land
10
quadratic match sum method3. The use of quarterly frequency data instead of annual data increases
the sample size and then allows us to investigate the possibility of long run relationship with
multiple shifts in the cointegration vector (Gregory and Hansen, 1996; Hatemi-J (2008), Arai and
Kurozumi, 2007; and Kejriwal and Perron, 2010).
3.1.2. Variables description
This section is devoted to present all variables used to investigate the environmental Kuznets curve
hypothesis (EKC). We classify these variables into three categories. The first category presents the
two variables used as proxies of environment degradation named the 𝐶𝑂2 emissions and ecological
footprint variables. The second and third categories includes all independent variables supposed
determine the environment degradation variables. The second category includes the
macroeconomics and financial variables and the third category includes the socio-demographic
variables.
a. Environment degradation proxies
i. CO2 emissions, dependent variable, is defined as the carbon dioxide emissions that are
stemming 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. It is measured
in metric tons per capita.
ii. Ecological footprint, dependent variable, is measured in global hectares. Following the NFAs,
the ecological footprint is a measure of how much area of biologically productive land and water
an individual, population or activity requires to produce all the resources it consumes and to absorb
the waste it generates, using prevailing technology and resource management practices.
b. Macroeconomics and Financial variables
i. Income per capita is measured as the gross domestic product divided by midyear population
(GDP per capita). Data are in constant 2005 U.S. dollars. To investigate the EKC hypothesis we
use the real GDP per capita in level and its squared form. The economic theory suggests that if
the EKC hypothesis holds the expected sign of the real GDP per capita in level will be positive
and negative for its quadratic form.
ii. Electricity consumption is equal to the production of power plants and combined heat and
power plants less transmission, distribution, and transformation losses and own use by heat and
3 In the theoretical literature several methods have been proposed that allow to convert low frequency data (annual or
quarterly) to more high frequency data (quarterly or monthly). In this paper, we use the local quadratic-match sum
method which has many advantages compared to others methods. In particular, this method ) is not sensitive to the
presence of outliers and structural changes in the original series. This is of particular interest for us as our main
objective is to allow of existence of breaks in unit root and cointegration tests. The local quadratic-match sum method
is the by default method used by the Database of Global Economic Indicators (DGEI) from the Federal Reserve Bank
of Dallas. For more details about this method we refer to the work of Grossman [79].
11
power plants. It is measured in KWh per capita. We expect that electricity consumption variable
will be negatively correlated to the environment degradation variable as this variable is friendly
sources of energy.
iii. Openness trade is the percentage of the total value of exports and imports as a share of GDP.
Following Grossman and Krueger (1991) the reduction of trade barriers affects the environment
quality via increasing the economic activity. Then, it is expected that the openness trade variable
will have a positive sign if the production processes is heavy 𝐶𝑂2 emitter. However, environmental
protection laws have a significant impact on reducing 𝐶𝑂2 emissions and other pollutants. In this
paper, as Qatar is an oil exporting country where the share of gas and oil exports is very important
in the total GDP, then we expect that this variable will have a positive sign.
iv. Financial development is measured by the ratio of domestic credit to private sector scaled by
GDP. Indeed, financial development may play a role in explaining environment degradation. For
instance, financial development may help firms in adopting advanced cleaner and environment
friendly technology in the energy sector which in turn improve environment quality. Financial
development may also attract foreign direct investment, which enhance research and development
(R&D) activities that improve economic activities, and hence, influence environmental quality
(Frankel and Romer, 1999). On the other hand, Financial development can has a negative impact
on environment quality by increasing manufacturing activities which in turn leads to an
environment degradation through an increases of industrial pollution.
c. Socio-demographic variables
As socio-demographic variable we use urbanization. This variable is calculated using World Bank
population estimates and urban ratios from the United Nations World Urbanization Prospects. It
is equal to the percentage of country’s population living in urban areas. While this variable is
generally associated with greater level of environment degradation, an increase of this variable
can improve environment quality through economies scale in the provision of sanitation facilities.
Empirically, the existing literature is inconclusive on the impact that urbanization has on
environment degradation. Then, we suggest that, a priori, no sign expectation can be made on the
relationship between this variable and environment degradation.
3.2. Econometric Model
3.2.1. The Markov Switching Equilibrium Correction Model (MS-ECM)
To investigate the EKC hypothesis for the Qatar economy, we propose to use a Markov-Switching
equilibrium correction model with shifts in the intercept and the slope coefficients of independents
variables.
The general form of the proposed model can be written as follow,
𝛥𝑦𝑡 = 𝛼 𝐸𝐶𝑀𝑡−1,𝑠𝑡 +∑ 𝛤𝑗𝛥𝑋𝑡−𝑖𝑟𝑖=1 + ∑ 𝜋𝑗𝛥𝑦𝑡−𝑗
𝑠𝑗=1 + 𝑢𝑡,
Where,
𝐸𝐶𝑀𝑡−1,𝑠𝑡 = 𝛽𝑠𝑡′ 𝑋𝑡−1 − 𝜇𝑠𝑡,
12
Where 𝛼 measures the rapid adjustment towards the long run equilibrium. 𝑋𝑡 is a vector of
independent variables. 𝑦𝑡 is the dependent variable and 𝛥 is the first difference operator. 𝑟 and 𝑠 are the order lags of the independent and dependent variables in the short run relationship.
𝑠𝑡 is a dummy variable which takes values of 0 and 1. It is governed by a first order Markov chain
which is given by,
𝑠𝑡 = {0 with probability 𝑝1 with probability 𝑞
Where 𝑝 = 𝑃[𝑠𝑡 = 𝑖|𝑠𝑡−1 = 𝑖], 𝑞 = 𝑃[𝑠𝑡 = 𝑗|𝑠𝑡−1 = 𝑗] for 𝑖, 𝑗 = 1, 2 and ∑ 𝑝𝑖𝑗 = 12𝑖=1 .
Under these notation the intercept and slopes coefficients can be written as follow,
𝜇𝑠𝑡 = 𝜇1( 1 − 𝑠𝑡) + 𝜇2𝑠𝑡 ,
𝛽𝑠𝑡 = ((𝛽11, 𝛽1
2), (𝛽21, 𝛽2
2),… , (𝛽𝑛1, 𝛽𝑛
2)), where 𝑛 is the number of independent variables. For
example (𝛽11, 𝛽1
2) are the slope coefficients of the real GDP under the first and second regimes
respectively.
3.2.2. Model specification
The general form of the empirical model investigated in this study is given by the following
equation,
𝐸𝐷 = 𝑓 ( 𝑌, 𝑀𝑎𝑐𝑟𝑜, 𝐹𝑖𝑛, Socio)
Where 𝐸𝐷 refers to the environment degradation variable measured in this paper by 𝐶𝑂2 emissions or ecological footprint; 𝑌 refers to the income per capita variable, 𝑀𝑎𝑐𝑟𝑜 refers to
macroeconomic variables that explain environment degradation such as openness trade and
electricity consumption. 𝐹𝑖𝑛 is the financial development variable and finally 𝑆𝑜𝑐𝑖𝑜 represents the
urbanization variable.
In this paper, we propose After taking the logarithm of all variables, the specification is given by,
𝐿𝐸𝐷𝑡 = 𝜇𝑠𝑡 + 𝛽1𝑠𝑡 𝐿𝑅𝐺𝐷𝑃𝑡 + 𝛽2𝐿𝑅𝐺𝐷𝑃𝑡2 + 𝛽4𝐿𝐸𝑡 + 𝛽5𝐿𝐹𝐷𝑡 + 𝛽6𝐿𝑈𝑅𝐵𝑡 + 𝛽6𝐿𝑂𝑃𝐸𝑁𝑡 + 𝜖𝑡
Where 𝐸𝐷 is the 𝐶𝑂2 emissions and ecological footprint (𝐹𝑃) proxies. The empirical methodology
used to investigate the EKC hypothesis is summarized in the following four steps. First, we start
by testing whether the 𝐶𝑂2 emissions, environment degradation, the real GDP, electricity
consumption, urbanization, trade openness and financial development are characterized by the
presence of unit root or not. This step is an important precondition before testing for the existence
of long run relationship between environment degradation proxy and explicative variables. For
this end, we use both standard unit root tests (Dickey and Fuller, 1979; Phillips and Perron, 1988;
and Kwiatkowski et al.; 1992) and unit root tests allowing for multiple structural breaks of Silvestre
et al. (2003)). Second, for cointegration with structural breaks by using the Gregory and Hansen
(1996), Hatemi-J (2008) and Arai and Kurozumi (2007) tests. Third, we estimate the short and
long run relationship using the two steps of Engle and Granger (1987) cointegration approach. In
addition, we check for residuals stability using the CUSUM and CUSUM squared tests. In the last
13
step, we investigate the linear and nonlinear Granger causality direction sense between all
variables.
In the following subsections, we presents the unit roots tests with structural breaks and the testing
procedure for cointegration with structural breaks.
3.3. Unit roots test with structural break
This subsection is largely inspired from Silvestre et al. (2009) paper. It is devoted to describes the
unit root tests with structural breaks recently developed by Silvestre et al. (2009). These unit roots
tests have many advantage compared to the existence literature on testing for unit roots when series
are subject to change in regime. First, Silvestre et al. (2009) propose a large variety of tests
including the M-tests introduced by Stock (1999). Second, the proposed tests allow for multiple
changes under both the null hypothesis of unit root and the alternative hypothesis of stationarity.
Third, the Silvestre et al. (2009) tests use the quasi-GLS detrending method advocated by Elliot
et al. (1996) which permits tests that have local asymptotic power functions close to the local
asymptotic Gaussian power envelope. Silvestre et al. (2009) treat the breaks dates as known and
then they show that the limiting distribution is the same when the breaks dates are unknown.
Silvestre et al. (2009) consider the following model,
𝑦𝑡 = 𝑑𝑡 + 𝑢𝑡
𝑢𝑡 = 𝛼𝑢𝑡 + 𝜈𝑡 𝑡 = 0,… , 𝑇
Where 𝑦𝑡 is a time series, {𝑢𝑡} is an unobserved mean-zero process. 𝑢0 is supposed to be equal to
0. The disturbance 𝜈𝑡 is defined by 𝜈𝑡 = ∑ 𝛾𝑖𝜂𝑡−𝑖∞𝑖=0 with ∑ 𝑖|𝛾𝑖|
∞𝑖=0 < ∞ and {𝜂𝑡} a martingale
difference sequence adapted to the filtration 𝐹𝑡 = 𝜎 − field{𝜂𝑡−𝑖; 𝑖 ≥ 0}. The long and short run
variance are defined as 𝜎2 = 𝜎𝜂2𝛾(1)2 and 𝜎𝜂
2 = lim𝑇→∞
𝑇−1∑ 𝐸(𝜂𝑡2)𝑇
𝑡=1 , respectively.
The deterministic component in (1) is given by,
𝑑𝑡 = 𝑧𝑡′(𝑇0)𝜓0 + 𝑧𝑡
′(𝑇1)𝜓1 +⋯+ 𝑧𝑡′(𝑇𝑚)𝜓𝑚 ≡ 𝑧𝑡
′(𝜆)𝜓
Where
𝑧𝑡′(𝜆) = [𝑧𝑡
′(𝑇𝑗), 𝑧𝑡′(𝑇1), … , 𝑧𝑡
′(𝑇𝑚)] and 𝜓 = (𝜓0′ , 𝜓1
′ , … , 𝜓𝑚′ )′.
The different forms taken by the 𝑧𝑡′(𝑇0) deterministic component and the 𝜓 coefficients define the
three models considered by Silvestre et al. (2009) in this paper.
These three models are defined by,
𝑧𝑡′(𝑇𝑚
0) = {
𝐷𝑈𝑡(𝑇𝑗) Model 0
𝐷𝑇𝑡∗(𝑇𝑗) Model I
(𝐷𝑈𝑡(𝑇𝑗), 𝐷𝑇𝑡∗(𝑇𝑗))
′ Model II
14
Where Model 0 refers to the “crash” or level shift model, Model I refers to the “changing growth”
slope change model and Model II refers to the mixed change model as in Perron (1989)4.
Silvestre et al. (2009) define 𝑧𝑡′(𝑇0) ≡ 𝑧𝑡(0) = (1, 𝑡)
′ and 𝜓0 = (𝜇0, 𝛽0)′ and for 1 ≤ 𝑗 ≤ 𝑚
𝜓𝑗 = 𝜇𝑗 in Model 0, 𝜓𝑗 = 𝛽𝑗 in Model I and 𝜓𝑗 = (𝜇𝑗 , 𝛽𝑗)′ fin Model II. 𝐷𝑈𝑡(𝑇𝑗) = 1 and
𝐷𝑇𝑡∗(𝑇𝑗) = (𝑡 − 𝑇𝑗) for 𝑡 > 𝑇𝑗 and 0 otherwise. 𝑇𝑗 = [𝑇𝜆𝑗] which denotes the j-th break date, with
[. ] defines the integer part, and 𝜆𝑗 ≡ 𝑇𝑗 𝑇⁄ ∈ (0,1) is the break fraction parameter.
To estimate the breaks dates, they use the global minimization of the sum of squared residuals
(SSR) of the GLS-detrended model,
�̂� = arg min𝜆∈⋀(𝜖)
𝑆(𝛼,̅ 𝜆)
Where 𝑆(𝛼,̅ 𝜆) is the minimum of an objective function, see Silvestre et al. (2009) for more
details. �̅� = 1 + 𝑐̅ 𝑇⁄ is a non-centrality parameter. ⋀𝜖 = {𝜆 ∶ |𝜆𝑖+1 − 𝜆𝑖| ≥ 𝜖, 𝜆1 > 𝜖, 𝜆𝑘 > 1 −𝜖} and 𝜖 is a small arbitrary number, in practice the common value of 𝜖 = 0.15. Proposition 2 in
Silvestre et al. (2009) show the rate of convergence is fast enough to guarantee a same limiting
distribution as when the breaks dates are known.
The proposed tests are defined by,
𝑀𝑍𝛼𝐺𝐿𝑆(𝜆) = (𝑇−1�̃�𝑇
2 − 𝑠(𝜆)2)(2𝑇−2∑ �̃�𝑡−12𝑇
𝑡=1 )−1,
𝑀𝑆𝐵𝐺𝐿𝑆(𝜆) = (𝑠(𝜆)2 𝑇−2∑ �̃�𝑡−12𝑇
𝑡=1 )1/2,
𝑀𝑍𝑡𝐺𝐿𝑆(𝜆) = (𝑇−1�̃�𝑇
2 − 𝑠(𝜆)2)(4𝑠(𝜆)2 𝑇−2∑ �̃�𝑡−12𝑇
𝑡=1 )−1/2,
𝑀𝑃𝑇𝐺𝐿𝑆(𝜆) = ( 𝑐̅2𝑇−2∑ �̃�𝑡−1
2𝑇𝑡=1 + (1 − 𝑐̅) 𝑇−1 �̃�𝑇
2 ) 𝑠(𝜆)2⁄ ,
Where �̃�𝑡 = 𝑦𝑡 − �̂�′𝑧𝑡′(𝜆) and �̂�′ are the estimated values of 𝜓. 𝑠(𝜆)2 is an estimate of the spectral
density at frequency zero of 𝜈𝑡.
3.4. Cointegration with structural break
Testing for parameter instability in macroeconomic relationships is an important issue for both
macroeconomic and econometric sides. As noted by many authors, the luck of control for the
presence of structural breaks inside time series can lead to model misspecification problems and
misleading interpretation (Gregory and Hansen, 1996; and Arai and Kurozumi, 2007). In Addition,
the fact that we investigate the EKC hypotheses during a period of 36 years -from 1975 to 2011,
then it is more likely that the cointegration relationships may be subject to structural breaks.
Testing for cointegration with structural breaks is conducted using the Gregory and Hansen (1996)
4 See also Zivot and Andrews (1992), Ng and Perron (1995) and Lee and Strazicich (2003).
15
and Hatemi-J (2008) tests. The Gregory and Hansen (1996) approach is used when only break is
detected in the long run. The Hatemi-J approach is employed to investigate possible cointegration
with two structural breaks. The approach proposed by Hatemi (2008) is an extension of the
Gregory and Hansen (1996) approach to the case of cointegration vector with two breaks.
In what follow, we present these three approaches in more details.
3.4.1. Gregory and Hansen (1996) cointegration with one break
Gregory and Hansen (1996) propose ADF, 𝑍𝛼 and 𝑍𝑡-type tests designed to test the null of no
cointegration against the alternative of cointegration in the presence of level or regime shifts.
Under the general hypothesis of cointegration with structural breaks, the model is given by:
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝜃 𝑡 + 𝛽0′𝑥𝑡 + 𝛽1
′𝐷1𝑡𝑥𝑡 + 𝑢𝑡 , (1)
Where (𝛼0, 𝛼0 + 𝛼1) are the intercept coefficients both for the first and second regimes,
respectively. In the same manner, 𝛽0′ and (𝛽0 + 𝛽1)
′ are the slope coefficients vectors under the
first and second regimes, respectively. 𝜃 is the linear trend coefficient and 𝑢𝑡 is the error term. 𝐷1𝑡 is a dummy variable defined by,
𝐷1𝑡 = {0 if 𝑡 ≤ [𝑛𝜏1]
1 if 𝑡 > [𝑛𝜏1]
In this paper, we limit our investigation to the level shift (C) and regime shift models of Gregory
and Hansen (1996). The level shift with trend (C/T) model is not considered in this paper for the
simple reason that most economic time series can be adequately described by level shift and regime
shift models, see for instance (Perron, 1989; Lee and Strazicich, 2003).
The level shift (C) model as described by Gregory and Hansen (1996) is given by equation (1)
when we restrict 𝜃 = 0 and 𝛽1′ to the zero vector.
Under this assumption the level shit model is given by,
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝛽0′𝑥𝑡 + 𝑢𝑡 , ,
Concerning the regime shift (level shift and slope coefficients change) (C/S) model, it is given by
equation (1) when 𝜃 = 0.
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝛽0′𝑥𝑡 + 𝛽1
′𝐷1𝑡𝑥𝑡 + 𝑢𝑡 ,
Gregory and Hansen (1996) proposed the three tests of cointegration with shifts that are an
extensions of the standard ADF test of Dickey and Fuller and the Phillips two tests statistics Z
and tZ of cointegration. These three test are given by,
𝐴𝐷𝐹∗ = inf𝜏∈𝑇𝐴𝐷𝐹(𝜏),
𝑍𝑡∗ = inf
𝜏∈𝑇𝑍𝑡(𝜏),
𝑍𝛼∗ = inf
𝜏∈𝑇𝑍𝛼(𝜏),
16
These three tests of cointegration tests are calculated for each possible regime shift τ ∈ T, and then
we take the smallest value for each test among all possible breaks points. We refer to Gregory and
Hansen (1996) for more details.
3.4.2. Hatemi-J (2008) cointegration with two breaks
Hatemi-J (2008) extends the Gregory and Hansen (1996) cointegration approach with one
structural break to the case of cointegration with two structural breaks. As in Gregory and Hansen
(1996), Hatemi-J (2008) consider the case where both intercept and the slopes are subject of
structural breaks (two breaks here).
The model considered by Hatem-J (2008) is given by,
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝛼2𝐷2𝑡 + 𝜃 𝑡 + 𝛽0′𝑥𝑡 + 𝛽1
′𝐷1𝑡𝑥𝑡 + 𝛽2′𝐷2𝑡𝑥𝑡 + 𝑢𝑡 ,
𝐷1𝑡 and 𝐷2𝑡 are dummy variable defined by,
𝐷1𝑡 = {0 if 𝑡 ≤ [𝑛𝜏1]
1 if 𝑡 > [𝑛𝜏1] and 𝐷2𝑡 = {
0 if 𝑡 ≤ [𝑛𝜏2]
1 if 𝑡 > [𝑛𝜏2]
Where 𝜏1 and 𝜏2 represent the location of breaks (unknowns). They are supposed to lies in the
interval (0, 1) and that 𝜏2 > 𝜏1. In that case, (𝛼0, 𝛼0 + 𝛼1, 𝛼0 + 𝛼1+𝛼2 ) are the intercept
coefficients both for the first, second and third regimes, respectively. In a same manner, 𝛽0′ ,
(𝛽0 + 𝛽1)′ and (𝛽0 + 𝛽1 + 𝛽2)
′ are the slope coefficients vectors under the first and second
regimes, respectively. 𝜃 is the linear trend coefficient and 𝑢𝑡 is the error term.
For this case of cointegration with two structural breaks, the level shift and regime shift models
are given by,
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝛼2𝐷2𝑡 + 𝛽0′𝑥𝑡 + 𝑢𝑡 ,
and
𝑦𝑡 = 𝛼0 + 𝛼1𝐷1𝑡 + 𝛼2𝐷2𝑡 + 𝛽0′𝑥𝑡 + 𝛽1
′𝐷1𝑡𝑥𝑡 + 𝛽2′𝐷2𝑡𝑥𝑡 + 𝑢𝑡 ,
As in the case of Gregory and Hansen (1996), Hatemi-J (2008) test statistics are the smallest values
of these three tests across all values of 𝜏1 and 𝜏2. Hetemi-J (2008) suppose that 𝜏1 ∈ 𝑇1 =(0.15, 0.70) and 𝜏2 ∈ 𝑇2 = (0.15 + 𝜏1, 0.85)
𝐴𝐷𝐹∗ = inf(𝜏1,𝜏2)∈𝑇
𝐴𝐷𝐹((𝜏1, 𝜏2)),
𝑍𝑡∗ = inf
(𝜏1,𝜏2)∈𝑇𝑍𝑡(𝜏1, 𝜏2),
𝑍𝛼∗ = inf
(𝜏1,𝜏2)∈𝑇𝑍𝛼(𝜏1, 𝜏2),
3.5. VECM Granger causality
Investigating causality direction within the framework of VECM is an important step after
estimating the long run and short run relationship. The non-rejection of cointegration with
17
structural break suggests that at least one causal link exist among the series. To investigate this
issue of causality, we use both standard linear Granger causality as introduced by Engle and
Granger (1987).
After refining the estimation of the long-run relationship, the Granger causality testing procedure
can be done in the following four steps.
a. The first step consists to recuperate the residuals of the long-run dynamics between all
variables. These residuals are called 𝐸𝐶𝑇1𝑡 and 𝐸𝐶𝑇2𝑡 for the CO2 emissions and the ecological
footprint environment degradation proxies.
These 𝐸𝐶𝑇1𝑡 and 𝐸𝐶𝑇2𝑡 residuals are obtained as follows,
𝐸𝐶𝑇1𝑡 = (𝐿𝐸𝐹𝑃𝑡 − �̂�1𝑠𝑡𝐿𝑅𝐺𝐷𝑃𝑡 − �̂�2(𝐿𝑅𝐺𝐷𝑃)𝑡2−�̂�3𝐿𝐸𝐿𝐸𝐶𝑡 − �̂�4𝐿𝐹𝐷𝑡 − �̂�5𝐿𝑈𝑅𝐵𝑡 − 𝜇𝑠𝑡)
And,
𝐸𝐶𝑇1𝑡 = (𝐿𝐶𝑂2𝑡 − �̂�1𝑠𝑡𝐿𝑅𝐺𝐷𝑃𝑡 − �̂�2(𝐿𝑅𝐺𝐷𝑃)𝑡2−�̂�3𝐿𝐸𝐿𝐸𝐶𝑡 − �̂�4𝐿𝐹𝐷𝑡 − �̂�5𝐿𝑈𝑅𝐵𝑡 −
�̂�6𝐿𝑂𝑃𝐸𝑁𝑡 − 𝜇𝑠𝑡)
where, �̂�𝑙, 𝑙 = 1,… ,6 are the parameters estimates of the coefficients of long-run relationship.
b. In the second step, we estimate the short-run relationships for the CO2 emissions and the
ecological footprint given by the two equations below,
(
𝛥𝐿𝐸𝐹𝑃𝑡𝛥𝐿𝑅𝐺𝐷𝑃𝑡𝛥𝐿𝐸𝐿𝐸𝐶𝑡𝛥𝐿𝐹𝐷𝑡𝛥𝐿𝑈𝑅𝐵𝑡 )
=
(
𝜔1𝜔2𝜔3𝜔4𝜔5)
+∑
(
𝑑1,1,𝑗 𝑑2,1,𝑗 𝑑3,1,𝑗 𝑑4,1,𝑗 𝑑5,1,𝑗
𝑑1,2,𝑗 𝑑2,2,𝑗 𝑑3,2,𝑗 𝑑4,2,𝑗 𝑑5,2,𝑗
𝑑1,3,𝑗 𝑑2,3,𝑗 𝑑3,3,𝑗 𝑑4,3,𝑗 𝑑5,3,𝑗
𝑑1,4,𝑗 𝑑2,4,𝑗 𝑑3,4,𝑗 𝑑4,4,𝑗 𝑑5,4,𝑗
𝑑1,5,𝑗 𝑑2,5,𝑗 𝑑3,5,𝑗 𝑑4,5,𝑗 𝑑5,5,𝑗 )
𝑘
𝑗=1
(
𝛥𝐿𝐸𝐹𝑃𝑡−𝑗𝛥𝐿𝑅𝐺𝐷𝑃𝑡−𝑗𝛥𝐿𝐸𝐿𝐸𝐶𝑡−𝑗𝛥𝐿𝐹𝐷𝑡−𝑗𝛥𝐿𝑈𝑅𝐵𝑡−𝑗 )
+
(
𝜋1𝜋2𝜋3𝜋4𝜋5)
𝐸𝐶𝑇2𝑡−1 +
(
𝜗1,𝑡𝜗2,𝑡𝜗3,𝑡𝜗4,𝑡𝜗5,𝑡)
18
And,
(
𝛥𝐿𝐶𝑂2𝑡𝛥𝐿𝑅𝐺𝐷𝑃𝑡𝛥𝐿𝐸𝐿𝐸𝐶𝑡𝛥𝐿𝐹𝐷𝑡𝛥𝐿𝑈𝑅𝐵𝑡𝛥𝐿𝑂𝑃𝐸𝑁𝑡)
=
(
𝜃1𝜃2𝜃3𝜃4𝜃5𝜃6)
+∑
(
𝑐1,1,𝑗 𝑐1,2,𝑗 𝑐1,3,𝑗 𝑐1,4,𝑗 𝑐1,5,𝑗 𝑐1,6,𝑗
𝑐2,1,𝑗 𝑐2,2,𝑗 𝑐2,3,𝑗 𝑐2,4,𝑗 𝑐2,5,𝑗 𝑐2,6,𝑗
𝑐3,1,𝑗 𝑐4,1,𝑗 𝑐5,1,𝑗 𝑐6,1,𝑗
𝑐3,2,𝑗 𝑐4,2,𝑗 𝑐5,2,𝑗 𝑐6,2,𝑗
𝑐3,3,𝑗 𝑐4,3,𝑗 𝑐5,3,𝑗 𝑐6,3,𝑗
𝑐3,4,𝑗 𝑐4,4,𝑗 𝑐5,4,𝑗 𝑐6,4,𝑗
𝑐3,5,𝑗 𝑐4,5,𝑗 𝑐5,5,𝑗 𝑐6,5,𝑗
𝑐3,6,𝑗 𝑐4,6,𝑗 𝑐5,6,𝑗 𝑐6,6,𝑗 )
𝑘
𝑗=1
(
𝛥𝐿𝐶𝑂2𝑡−𝑗𝛥𝐿𝑅𝐺𝐷𝑃𝑡−𝑗𝛥𝐿𝐸𝐿𝐸𝐶𝑡−𝑗𝛥𝐿𝐹𝐷𝑡−𝑗𝛥𝐿𝑈𝑅𝐵𝑡−𝑗𝛥𝐿𝑂𝑃𝐸𝑁𝑡−𝑗)
+
(
𝜆1𝜆2𝜆3𝜆4𝜆5𝜆6)
𝐸𝐶𝑇1𝑡−1 +
(
𝑢1,𝑡𝑢2,𝑡𝑢3,𝑡𝑢4,𝑡𝑢5,𝑡𝑢6,𝑡)
c. Using these two specifications, the long run causality can be examined by testing the
significance of the lagged error correction term using t-test statistic, 𝜋𝑗 = 0 and 𝜆𝑗 = 0 for 𝑗 =
1, . . ,6 .
d. In the other hand, the short run causality is examined by testing the coefficient of the first
differences of the variables. For example, 𝑐1,2,𝑗 ≠ 0 and 𝑑1,2,𝑗 ≠ 0 ∀ 𝑗 shows that the economic
growth (𝛥𝐿𝑅𝐺𝐷𝑃𝑡) Granger cause ecological foot print (𝛥𝐿𝑃𝐹𝑡) and CO2 emissions (𝛥𝐿𝐶𝑂2𝑡), respectively. The feedback that ecological foot print and CO2 emissions Granger cause economic
growth is obtained when 𝑐2,1,𝑗 ≠ 0 and 𝑑2,1,𝑗 ≠ 0 ∀ 𝑗.
4. Empirical results
4.1. Preliminary analysis
Descriptive statistics of the ecological footprint, 𝐶𝑂2 emissions, economic growth, electricity
consumption, financial development and urbanization variables in term of mean, median, standard
deviation, Skewness, Kurtosis and Jarque-Bera statistics are reported in Table 2 below. The results
show that there is significant difference between the mean and the median for the both ecological
foot print and real GDP variables. The normality hypothesis is rejected for all time series.
Table 1 : Descriptive statistics and traditional unit root test
𝑳𝑬𝑭𝑷 𝑳𝑪𝑶𝟐 𝑳𝑹𝑮𝑫𝑷 𝑳𝑬𝑳𝑬𝑪 𝑳𝑭𝑫 𝑳𝑼𝑹𝑩 𝑳𝑶𝑷𝑬𝑵
Mean
0.479 2.458 9.317 8.365 2.128 3.159 1.695
Median 0.581 2.563 8.856 8.327 2.173 3.167 1.703
Std.dev 0.455 0.293 0.952 0.141 0.347 0.032 0.106
Skew. -1.305 -0.695 1.093 0.398 -0.907 -0.311 -0.642
Kurt. 4.256 2.238 2.823 2.034 4.115 1.675 3.208
J-B 46.18 13.00 24.87 8.088 23.42 11.07 9.583
In the other hand, Table 3 reports the empirical results of pair-wise correlation (under the first
matrix diagonal) and their corresponding t-statistics (above the matrix diagonal). Table 3 shows
19
that all correlations coefficients are highly significant except for the pair (𝐿𝐶𝑂2, 𝐿𝐸𝐿𝐸𝐶). This
non significance of the correlation between 𝐶𝑂2 emissions and electricity consumption is not
surprising as the electricity, as source of energy and input of the production process, is known to
be a clean energy source compared to other energy sources such as oil, coal, gas etc… The pair-
wise correlations between real GDP and both environment degradation proxies are positive
suggesting that economic growth degrades environment. Moreover, financial development and
urbanization are positively correlated to ecological foot print. In the other hand, the CO2 emissions
is negatively and positively correlated with financial development and urbanization, respectively.
Table 2 : Pair-wise correlation
𝑳𝑬𝑭𝑷 𝑳𝑪𝑶𝟐 𝑳𝑹𝑮𝑫𝑷 𝑳𝑬𝑳𝑬𝑪 𝑳𝑭𝑫 𝑳𝑼𝑹𝑩 𝑳𝑶𝑷𝑬𝑵
𝑳𝑬𝑭𝑷 1 - 7.809 11.88 12.89 12.30 0.064
𝑳𝑪𝑶𝟐 - 1 3.302 1.564 -4.246 3.648 8.195
𝑳𝑹𝑮𝑫𝑷 0.565 0.278 1 12.93 3.775 15.93 4.803
𝑳𝑬𝑳𝑬𝑪 0.721 0.136 0.750 1 5.378 13.44 7.607
𝑳𝑭𝑫 0.749 -0.349 0.314 0.427 1 8.208 -6.652
𝑳𝑼𝑹𝑩 0.733 0.305 0.813 0.763 0.584 1 2.666
𝑳𝑶𝑷𝑬𝑵 0.006 0.596 0.399 0.567 -0.516 0.235 1
Pair-wise correlation under the first diagonal and their corresponding t-statistics are above the
diagonal
In addition to this preliminary analysis based on descriptive statistics and pair-wise correlation, we
report in Figure 1 the trajectories evolution of the ecological footprint, 𝐶𝑂2emissions, real GDP,
electricity consumption, financial development and urbanization variables. This Figure shows that
all trajectories has an upward trend during all the period of study, except for the 𝐶𝑂2 emissions
series which shows a downward trend until 1990, and then it remains stable with a new downward
at the end of the period.
20
-1.2
-0.8
-0.4
0.0
0.4
0.8
1.2
1975 1980 1985 1990 1995 2000 2005 2010
LFP
1.6
1.8
2.0
2.2
2.4
2.6
2.8
3.0
1975 1980 1985 1990 1995 2000 2005 2010
LCO2
7
8
9
10
11
12
1975 1980 1985 1990 1995 2000 2005 2010
LRGDP
7.4
7.6
7.8
8.0
8.2
8.4
8.6
8.8
1975 1980 1985 1990 1995 2000 2005 2010
LELEC
0.5
1.0
1.5
2.0
2.5
3.0
1975 1980 1985 1990 1995 2000 2005 2010
LFD
3.10
3.12
3.14
3.16
3.18
3.20
3.22
1975 1980 1985 1990 1995 2000 2005 2010
LURB
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1975 1980 1985 1990 1995 2000 2005 2010
LOPEN
Figure 1 : Evolution of the 𝐶𝑂2 emissions, Ecological foot print, real GDP, electricity
consumption, financial development and urbanization variables
21
4.2. Unit roots tests with and without structural breaks
Non-stationarity of time series, e.g. I(1), is an important pre-condition before investigating
possible long run relationship between environment degradation proxy and economic growth,
electricity consumption, financial development and urbanization using cointegration analysis. In
this study, to investigate non-stationarity, we use both traditional unit root tests (Ng-Perron, 1996)
and unit root tests with structural break (Silvestre et al., 2009).
Empirical results are reported in Table 3 below for standard unit root test and Table 5 for unit root
tests with structural breaks. Standard unit root tests results show that the ecological footprint, 𝐶𝑂2 emissions, economic growth and financial development are non-stationary in level. For the
electricity consumption and urbanization time series, we find that these series are stationary in
level. Using first difference transformation, all variables are non-stationary except the 𝐶𝑂2 emissions series. As noted by many researchers, macroeconomics time series are generally subject
to structural breaks and the use of standard unit root test leads to highly reject the true behavior.
Table 3 : Results of Ng and Perron (1996) unit root tests without breaks.
Level First difference
𝑴𝒁𝜶𝑮𝑳𝑺 𝑴𝑺𝑩𝑮𝑳𝑺 𝑴𝒁𝒕
𝑮𝑳𝑺 𝑴𝑷𝑻𝑮𝑳𝑺 𝑴𝒁𝜶
𝑮𝑳𝑺 𝑴𝑺𝑩𝑮𝑳𝑺 𝑴𝒁𝒕𝑮𝑳𝑺 𝑴𝑷𝑻
𝑮𝑳𝑺
𝑳𝑬𝑭𝑷𝒕 0.550 1.301 0.716 102.85 -0.223 0.722 -0.162 30.917
𝑳𝑪𝑶𝟐𝒕 -7.443 0.249 -1.854 3.568 -9.125 a 0.231 a -2.109 a 2.793
𝑳𝑹𝑮𝑫𝑷𝒕 2.175 1.134 2.466 108.80 -1.368 0.510 -0.698 14.762
𝑳𝑬𝑳𝑬𝑪𝒕 -10.71a 0.213a -2.289a 2.386a 0.033 0.994 0.033 55.806
𝑳𝑭𝑫𝒕 -0.217 0.714 -0.155 30.42 -1.956 0.449 -0.880 11.36
𝑳𝑼𝑹𝑩𝒕 -91.63a 0.073a -6.714a 0.374a -3.808 0.362 -1.378 6.433
𝑳𝑶𝑷𝑬𝑵𝒕 -6.613 0.275 -1.817 3.711 -7.640 0.254 -1.943 3.248
The critical values are -8.10, 0.233, -1.98 and 3.17 for the 𝑀𝑍𝛼𝐺𝐿𝑆, 𝑀𝑆𝐵𝐺𝐿𝑆, 𝑀𝑍𝑡
𝐺𝐿𝑆, and
𝑀𝑃𝑇𝐺𝐿𝑆tests respectively.
The null hypothesis of Ng-Perron tests is the non-stationarity.
The null hypothesis is rejected if the statistic is lower than critical values.
To account for structural breaks under both the null and alternative hypothesis when testing for
unit root, we propose to use Silvestre et al. (2009) unit root tests. Empirical results reported in
Table 5 shows strong evidence for the existence of unit root and for structural breaks in the level
series at conventional level. The bottom panel of Table 5 shows that all series are stationary in first
difference which means that all series are I(1) in level. Moreover, our results show that the
structural breaks are in the origin for the rejection of the stationarity hypothesis when using
standard unit root tests.
The first break occurs for all time series at the end of the seventy decade. The second break
correspond to the middle of the eighty decade except for the electricity consumption series
(1990Q4) and financial development (1981Q4). year 1990Q2 for the 𝐶𝑂2 emissions and
urbanization time series, and to 1981Q1 for electricity consumption, 1983Q3 for financial
development, 1986Q4 for real GDP and 1999Q4 for ecological foot print. Finally, the last break
correspond to the years 2004Q2, 1993Q3, 1997Q3, 1985Q4, 1992Q4 and 1995Q4 for the
22
ecological foot print, the CO2 emissions, the real GDP, electricity consumption, financial
development and urbanization respectively.
Overall, Silvestre et al. (1994) unit root tests suggest that the ecological foot print, 𝐶𝑂2 emissions,
economic growth, electricity consumption, financial development and urbanization are I(1) in
level and I(0) in first difference. This allow us to examine the possibility of long run relationship
among investigated variables. This result suggest also that the presence of break in the level of
these time series may be viewed as an indication of possible existence of shift in the cointegration
vector.
23
Table 4 : Results of Silvestre et al. (2009) unit root tests with structural breaks.
𝑴𝒁𝜶𝑮𝑳𝑺(𝝀) 𝑴𝑺𝑩𝑮𝑳𝑺(𝝀) 𝑴𝒁𝒕
𝑮𝑳𝑺(𝝀) 𝑴𝑷𝑻𝑮𝑳𝑺(𝝀) Breaks dates
In level
𝐿𝐸𝐹𝑃𝑡 -12.06 (-46.71) 0.200 (0.103) -2.421 (-4.828) 35.403 (8.99) 1978Q1, 1984Q3, 1990Q4, 1999Q4, 2004Q2
𝐿𝐶𝑂2𝑡 -11.20 (-45.74) 0.208 (0.105) -2.333 (-4.739) 37.339 (9.27) 1982Q3, 1985Q3, 1988Q3, 1992Q4, 1997Q4
𝐿𝑅𝐺𝐷𝑃𝑡 -15.23 (-46.51) 0.181 (0.103) -2.759 (-4.827) 27.648 (8.88) 1981Q1, 1986Q4, 1996Q1, 2000Q4, 2005Q3
𝐿𝐸𝐿𝐸𝐶𝑡 -8.87 (-46.05) 0.235 (0.103) -2.089 (-4.787) 47.55 (9.08) 1978Q1, 1990Q4, 1996Q3, 2000Q4, 2004Q3
𝐿𝐹𝐷𝑡 -15.69 (-46.98) 0.177 (0.103) -2.785 (-4.826) 27.64 (9.12) 1978Q1, 1981Q4, 1986Q4, 1992Q4, 2000Q3
𝐿𝑈𝑅𝐵𝑡 -7.713 (-47.79) 0.234 (0.102) -1.802 (-4.874) 54.88 (9.38) 1979Q2, 1985Q4, 1989Q4,1995Q3,2004Q3
𝐿𝑂𝑃𝐸𝑁𝑡 -16.62 (-46.31) 0.168 (0.103) -2.793 (-4.80) 25.15 (8.88) 1980Q1, 1983Q4, 1987Q3, 1996Q4, 2001Q4
In first difference
𝐿𝐸𝐹𝑃𝑡 -25.93 (-22.25) 0.138 (0.149) -3.593 (-3.301) -4.059 (-3.301) 1979Q4
𝐿𝐶𝑂2𝑡 -43.55 (-32.49) 0.107 (0.123) -4.651 (-3.991) 5.365 (7.295) 1978Q4, 1983Q4, 1986Q4
𝐿𝑅𝐺𝐷𝑃𝑡 -44.97 (-35.22) 0.105 (0.118) -4.74 (-4.171) 6.282 (8.125) 1985Q4, 1989Q4, 1996Q4
𝐿𝐸𝐿𝐸𝐶𝑡 -46.26 (-32.38) 0.104 (0.124) -4.81 (-4.016) 5.034 (7.175) 1978Q4, 1982Q4, 2003Q4
𝐿𝐹𝐷𝑡 -42.864 (-36.52) 0.108 (0.116) -4.627 (-4.255) 7.028 (8.227) 1982Q4, 1990Q4, 1999Q4
𝐿𝑈𝑅𝐵𝑡 -41.25 (-40.92) 0.0110 (0.110) -4.54 (-4.51) 8.923 (8.939) 1982Q4, 1986Q2, 1997Q3, 2004Q1
𝐿𝑂𝑃𝐸𝑁𝑡 -45.31 (-32.95) 0.104 (0.121) -4.731 (-4.018) 5.665 (7.740) 1981Q4, 1984Q4, 1987Q4
Critical values for the 5% level significance are in parenthesis.
24
4.3. Cointegration with Markov shifts results
4.3.1. Testing for cointegration with structural break
The results of testing for cointegration with one and two structural breaks using the 𝐴𝐷𝐹, 𝑍𝛼 and
𝑍𝑡-type tests proposed by Gregory and Hansen (1996) and Hatemi-J (2008) are reported in Table 5.
Panel A corresponds to the results of the 𝐴𝐷𝐹, 𝑍𝛼 and 𝑍𝑡-type tests of Gregory and Hansen (1996)
when the cointegration vector is characterized by the presence of only one structural break and to
the 𝐴𝐷𝐹, 𝑍𝛼 and 𝑍𝑡-type tests of Hatemi-J (2008) when the cointegration vector is subject to two
structural breaks. Empirical results of applying these tests on the level and slope coefficients shifts
model are reported in column 3 of table 5. Critical values for the 𝐴𝐷𝐹, 𝑍𝛼 and 𝑍𝑡 tests are obtained
by simulation and reported in columns 4 and 5 for the 5% and 10% level of significance. These
critical values depend on the number of explicative variables used, see Gregory and Hansen (1996)
and Hatemi-J (2008) for more details.
Table 5 : Results of Gregory and Hansen (1996), and Hatemi-J (2008) tests of cointegration with
structural breaks
Equation Test
statistics
Estimated
value
5%
Critical
Value
10%
Critical
Value
Break
date 1
Break
date 2
Panel A : Gregory and Hansen results
FP
𝐴𝐷𝐹∗ -15.383 -6.800 -6.561 1982Q2 -
𝑍𝑡∗ -15.442 -6.800 -6.561 1982Q2 -
𝑍𝛼∗ -175.00 -88.83 -81.94 1982Q2 -
CO2 𝐴𝐷𝐹∗ -15.258 -7.191 -6.764 1986Q1 -
𝑍𝑡∗ -15.305 -7.191 -6.764 1986Q1 -
𝑍𝛼∗ -164.30 -97.78 -91.58 1986Q1 -
Panel B : Hatemi-J results
FP 𝐴𝐷𝐹∗ -4.755 -8.345 -8.017 1978Q3 2000Q1
𝑍𝑡∗ -18.095 -8.345 -8.017 1980Q1 2000Q2
𝑍𝛼∗ -185.99 -148.63 -142.33 1980Q1 2000Q2
CO2 𝐴𝐷𝐹∗ -11.684 -8.987 -8.702 1991Q4 2000Q3
𝑍𝑡∗ -14.297 -8.987 -8.702 1993Q3 2001Q1
𝑍𝛼∗ -176.89 -167.53 -159.28 1992Q2 2001Q4
The critical values are obtained by simulations, see Gregory and Hansen (1996) and Hatemi-J
(2008).
Our empirical findings show strong evidence for cointegration with structural breaks using both
Gregory and Hansen (1996) and Hatemi-J (2008) tests. For the Gregory and Hansen test, empirical
results show that the null hypothesis of no cointegration is rejected at conventional level
significance and using the three tests statistics which means that the alternative hypothesis of
cointegration with one structural break cannot be rejected. For instance, the estimated values of
the 𝐴𝐷𝐹∗, 𝑍𝑡∗ and 𝑍𝛼
∗ for the 𝐸𝐹𝑃 and 𝐶𝑂2 equations are -15.383, -15.442 and -175.00, and -
15.258, -15.305 and -164.30, respectively. As Table 4 shows, these estimated values are lower
than the critical values of -6.800 and -88.83 for the 𝐸𝐹𝑃 equation and -7.191 and -97.78 for the
25
𝐶𝑂2 equation respectively for the 𝐴𝐷𝐹∗and 𝑍𝑡∗, and 𝑍𝛼
∗ tests. To summary, this first result indicates
that the hypothesis of cointegration with one structural break is highly accepted. Concerning the
break date, the empirical findings show that the break date corresponds to the second quarter 1982
for the footprint equation and to the first quarter 1986 for the CO2 emissions equation.
To overcome the limits of considering only one structural break for the Gregory and Hansen H
(1996) approach, we discuss now the results of the Hatemi-J (2008) test. Panel B of Table 5 shows
that for both equations (FP and 𝐶𝑂2 emissions) the alternative hypothesis of cointegration with
two breaks cannot be rejected by the 𝑍𝑡∗ and 𝑍𝛼
∗ tests. Only for the ADF test that the null hypothesis
of no cointegration cannot be rejected as the estimated statistic value of the ADF test (-4.755) is
higher than the corresponding critical value (-8.345). Concerning the dates of breaks, the Hatemi-
J (2008) procedure finds two breaks, the first one is approximately a common break and
corresponds to the first quarter 2000 for both FP and CO2 equations.
The second break corresponds to the third quarter 1978 for the ADF test and second quarter 1980
for the 𝑍𝑡∗ and 𝑍𝛼
∗ tests for the FP equation. For the 𝐶𝑂2 equation, we found a break that corresponds
to the fourth quarter 1991, third quarter 1993 and second quarter 1992 when using the ADF, 𝑍𝑡∗
and 𝑍𝛼∗ tests.
4.3.2. Estimating the short and long run relationship
After confirming the existence a long run relationship between the environment degradation proxy
and its key determinants, we proceed in the second step to estimate the short and long run equation
by using the two steps Engle-Granger technique. First, we start by estimating the long run
relationship by applying a Markov switching model on time series in level I(1). In this paper, we
consider that only the intercept and the slope coefficient of the real GDP over time5. Second, we
recuperate the residuals of the first step and we use it as an error correction when estimating the
short run equation. Empirical results of the two long run relationships for the FP and CO2 emissions
equations are reported in Table 6 and in Table 7 for the short run relationships.
4.3.3. Long run analysis
The estimated long run relationships allows to determine the long run marginal impact of the
different independent variables such as economic growth, electricity consumption, financial
development, urbanization and trade openness on the FootPrint and 𝐶𝑂2 emissions environment
degradation proxies. Empirical results for the two long run relationships with Markov shifts for
the for the ecological Foot Print and 𝐶𝑂2 emissions dependent variables are reported in Table 6
below.
Table 6 shows that the majority of coefficients are statistically significant at conventional level.
The Likelihood Ratio (LR) bound test proposed by Davies (1977, 1978) show that a two states
Markov switching specification with shifts in both the intercept and slope coefficient of the real
GDP per capita variable is more appropriate than the linear specification. Moreover, we found that
the estimated values of the 𝑝11 and 𝑝22 probabilities are statistically significant at the 1% level
significance. Moreover, these estimated values are close to the unit which means that each regime
5 The use of this specification of long run relationship with only Markov shifts in the intercept and real GDP slope
coefficient is retained as the more appropriate specification after estimation of several long run relationship models
with Markov shifts in the intercept and slopes coefficients of all independent variables.
26
last6 enough of time. In average, the first regime last for 31.765 Quarter for the 𝐶𝑂2emissions
pollutant equation and 68.21 Quarter for FP pollutant. For the second regime, it last in average
approximately about 108.542 Quarter and 63.36 Quarter for the 𝐶𝑂2 emissions and FP pollutants
respectively.
Table 6 : Estimation of the long run relationship with Markov shifts
𝑳𝑪𝑶𝟐𝒕 𝑳𝑬𝑭𝑷𝒕 No shifts Markov shifts No shifts Markov shifts
Coef. t-stat Coef. t-stat Coef. t-stat Coef. t-stat
𝝁𝟏 -14.992 -4.357 1.341 0.938 -21.709 -5.893 -41.66 -33.62
𝝁𝟐 - - -4.401 -3.309 - - -34.54 -27.85
𝑳𝑹𝑮𝑫𝑷𝒕 𝜷𝟏𝟏 -3.864 -3.369 1.766 8.592 3.185 4.793 3.549 21.01
𝜷𝟏𝟐 - - 2.354 11.50 - - 2.803 16.30
𝑳𝑹𝑮𝑫𝑷𝒕𝟐 0.172 3.198 -0.108 -10.59 -0.163 -4.821 -0.170 -19.32
𝑳𝑬𝑳𝑬𝑪𝒕 0.457 1.865 0.517 4.963 0.354 2.326 -0.183 -1.841
𝑳𝑭𝑫𝒕 -0.398 -4.646 -0.208 -4.470 0.517 9.530 -0.229 -4.371
𝑳𝑼𝑹𝑩𝒕 1.206 8.032 0.315 -7.287 0.919 0.768 0.818 21.96
𝑳𝑶𝑷𝑬𝑵𝒕 1.502 5.975 0.189 2.156 - - - -
𝒑𝟏𝟏 - - 0.968 3.707 - - 0.985 3.427
𝒑𝟐𝟐 - - 0.990 4.259 - - 0.984 5.022
Log-Likelihood 46.184 99.97 23.667 91.461
LR-test 107.57 135.59
Expected duration
Regime 1 - 31.765 Q - 68.21Q
Regime 2 - 108.542 Q - 63.36 Q
Figures 2 and 3 below show the evolution of the estimated probabilities smoothing. These figures
can be used to date exactly the breaks dates. For the 𝐶𝑂2 emissions case, the first regime covers
the period from the first Quarter 1980 to the second Quarter 1991 and from the second Quarter
2001 to the fourth Quarter 2010. For the second regime it covers the period from the third Quarter
1991 to the first Quarter 2001. For the Foot Print case, the probabilities smoothing figure show
that the first regime covers the periods from the first Quarter 1975 to the second Quarter 1981 and
from the second Quarter 2005 to the fourth Quarter 2007. For the second regime, it last from the
third Quarter 1981 to the first Quarter of 2005.
6 Under the Markov switching model each regime last in average for 1 (1 − 𝑝𝑖𝑖) ⁄ periods for each regime 𝑖 = 1,2,
see Hamilton (1989) for more details.
27
0.0
0.2
0.4
0.6
0.8
1.0
1980 1985 1990 1995 2000 2005 2010
Regime 1
0.0
0.2
0.4
0.6
0.8
1.0
1980 1985 1990 1995 2000 2005 2010
Regime 2
Figure 2 : Smoothed probabilities for the CO2 emissions equation.
0.0
0.2
0.4
0.6
0.8
1.0
1975 1980 1985 1990 1995 2000 2005
Regime 1
0.0
0.2
0.4
0.6
0.8
1.0
1975 1980 1985 1990 1995 2000 2005
Regime 2
Figure 3 : Smoothed probabilities for the Ecological FootPrint (FP) equation
It is important to remember that after we have estimated different specifications models before
selecting the final retained specification which is characterized by Markov switching in both the
intercept and the slope coefficient of only the real GDP dependent variables. The real GDP
coefficients (𝛽11, 𝛽1
2) are positive and highly significant under both regimes and for both pollutants.
The slope coefficient of on the nonlinear term of real GDP per capita ( squared real GDP per
capita) is negative and significant at the 1% level significance. In more details, the results indicate
that 1 per cent increase in real GDP per capita increases the 𝐶𝑂2 emissions per capita between
1.766 per cent in regime 1 and 2.35 per cent for regime 2. For the FP dependent variable, an
increase by 1 per cent of the real GDP per capita increases FP by 3.549 per cent under regime 1
and 2.803 per cent under regime 2. On the other hand, the negative coefficient of the nonlinear
term of real GDP per capita is equal to -0.107 for the 𝐶𝑂2 emissions pollutant and -0.170 for the
FP pollutant.
As a result, the positive and negative signs coefficients of the real GDP and squared real GDP
respectively under each regime indicate that the EKC hypothesis holds for both pollutants
(𝐶𝑂2emissions and EFP).
28
The impact of electricity consumption on 𝐶𝑂2 emissions and FP is different. For the electricity
consumption, the effect on 𝐶𝑂2 emissions is positive and highly significant, significant at the 1%
level. In contrast, the effect on the ecological footprint (FP) is not significant at conventional level.
For the 𝐶𝑂2emissions, an increase of 1% in electricity consumption increases 𝐶𝑂2 emissions by
0.515 per cent. This results confirm some empirical evidence in the energy use-environment nexus
literature which suggest that electricity consumption will negatively affects CO2 emissions if the
country uses a friendly environment energy source. However, as in Qatar the whole electricity
production is provide by burning gas then it positively CO2 emissions.
The third determining variable of the 𝐶𝑂2 emissions and FP pollutant it concerns the role played
by trade openness. In our empirical findings, we found that it determine only the 𝐶𝑂2emissions7.
The results show that openness trade affects positively and significantly the 𝐶𝑂2 emissions. We
found that 1 per cent increase in the rate of openness trade is associated with an increase of 0.189
per cent of 𝐶𝑂2 emissions. This empirical finding suggest that trade openness destroy
environmental quality.
The fourth determining variable used to explain the 𝐶𝑂2 emissions and EFP evolution is
urbanization. The estimated slope coefficient of urbanization is positive and significant at the 1%
level significance for both pollutants. The empirical findings show that an increase of 1 per cent
of the urbanization level increases the 𝐶𝑂2 emissions and EFP pollutants by 3.154 per cent and
0.818 per cent respectively. This result confirm some empirical studies in the empirical literature
which found a positive relationship between environment degradation and urbanization level, see
for instance Shahbaz et al. (2014) for the case of UAE. This empirical findings can be explained
by the fact that an increase of urbanization lies in increases in energy demand and 𝐶𝑂2emissions.
Turning now to the Financial development variable, the empirical findings show that the
coefficient on domestic credit to private sector scaled by GDP is negative and statistically
significant at 1 per cent level of significance. This results support the idea following that financial
development decreases 𝐶𝑂2 emissions and EFP. Our result indicate that policymakers and
government should enhanced more financial sector in order to better benefit from its positive
impact on the environmental quality. The result indicates that an increase by 1 per cent of domestic
credit to private sector scaled by GDP will decreases 𝐶𝑂2 and FP by 0.208 per cent and 0.229 per
cent respectively.
4.3.4. Short run analysis
The estimation results of the short run relationship is reported in Table 7 below. We discuss the
results on the basis of each pollutants, the 𝐶𝑂2 emissions and the ecological Foot Print. This Table
shows that the first lag of 𝐶𝑂2 emissions, the real income per capita, the electricity consumption,
the financial development, the trade openness and the first lag of the urbanization variables
significantly affect, in the short run, the 𝐶𝑂2 emissions. We found that at the short run and as
expected, the lagged 𝐶𝑂2 emissions have a positive and significant impact on the actual 𝐶𝑂2 emissions. In particular, the results show that the real income per capita is positively and
significantly linked to the 𝐶𝑂2 emissions in the short run. Moreover, we found that electricity
7 Trade openness variable is not a key determinant of the Foot Print environment degradation proxy.
29
consumption, financial development and urbanization affect positively 𝐶𝑂2 emissions in the short
run. In contrast, we found that openness trade affects negatively 𝐶𝑂2 emissions.
For the case of ecological Foot Print, we found that the first lag of the ecological Foot Print is
statistically significant and positively affects the level of current FP. Our empirical findings show
also that the real GDP per capita, financial development, and the first lag of squared real GDP per
capita impact positively the current level of FP. In contrast, we found that the current level of
squared real GDP per capita and the first lag of real GDP per capita affect negatively the current
level of FP.
The coefficient on the ECMt-1 for the two short run relationships is negative and significantly
different from zero. This coefficient which measures the rapid adjustment towards the long run
equilibrium varies between -0.106 and -0.113. The negative and significant sign of this coefficient
indicates the existence of adjustment towards the long run equilibrium. Moreover, the results
indicate that variation in energy emissions are corrected between 10.6% and 11.30% each year.
Table 7 : Estimation of the short run relationship
Variables 𝑳𝑭𝑷𝒕 𝑳𝑪𝑶𝟐𝒕
Coef. t-stat Coef. t-stat
𝑰𝒏𝒕𝒆𝒓𝒄𝒆𝒑𝒕 0.003 0.738 -0.030 -4.118
𝑬𝑪𝑴𝒕−𝟏 -0.106 -3.592 -0.113 -3.698
𝜟𝑳𝑭𝑷𝒕−𝟏 0.644 9.797 - -
𝜟𝑳𝑪𝑶𝟐𝒕−𝟏 0.628 9.796
𝜟𝑳𝑹𝑮𝑫𝑷𝒕 5.562 3.158 0.313 4.299
𝜟𝑳𝑹𝑮𝑫𝑷𝒕𝟐 -0.303 -3.095 -0.030 -1.191
𝜟𝑳𝑭𝑫𝒕 0.106 1.795 0.205 3.921
𝜟𝑳𝑬𝑳𝑬𝑪𝒕 - - 0.448 3.339
𝜟𝑳𝑶𝑷𝑬𝑵𝒕 - - -0.383 -2.928
𝜟𝑳𝑹𝑮𝑫𝑷𝒕−𝟏 -5.327 -2.993 - -
𝜟𝑳𝑹𝑮𝑫𝑷𝒕−𝟏𝟐 0.297 2.975 - -
𝜟𝑳𝑼𝑹𝑩𝒕−𝟏 - - 0.249 3.406
B-G LM(2) test 0.2208 0.273
RESET test (2) 0.6658 0.189
ARCH(3) 0.1866 0.112
Empirical results concerning residual diagnostic analysis reported in the bottom of Table 7 above
show that the two specifications of 𝐶𝑂2 emissions and Foot Print are appropriate and adequate to
describe the evolution of the two pollutants. For instance, the Breusch-Godfrey Serial Correlation
LM test (B-G LM(2) test), the RESET test for higher order omitted variables and the ARCH test
of heteroscedasticity show a p-values that are higher than the 5% level significance. This means
that for all these three tests the null hypothesis cannot be rejected which means, absence of serial
autocorrelation, absence of higher order omitted variables and absence of heteroscedasticity.
4.3.5. CUSUM and RS-CUSUM tests
After selecting the more appropriate specifications for both pollutants, the following step consists
in testing for residuals stability under each specification using the CUSUM and squared residuals
30
CUSUM tests. The results show that the solid blue lines of the cumulative sum of residuals and
squared residuals do not deviate from the critical bounds at the 5% level of significance (see
Figures 4 and 5). This results indicate the mean and variance stability of the residuals of each
specification which confirm that the selected specifications are more appropriate to describe the
evolution of the 𝐶𝑂2 emissions and EFP pollutants. This results allow us also to investigate the
-40
-30
-20
-10
0
10
20
30
40
76 78 80 82 84 86 88 90 92 94 96 98 00 02 04 06
CUSUM 5% Significance
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
76 78 80 82 84 86 88 90 92 94 96 98 00 02 04 06
CUSUM of Squares 5% Significance Figure 4 : CUSUM and squared CUSUM test for the Footprint equation
-40
-30
-20
-10
0
10
20
30
40
82 84 86 88 90 92 94 96 98 00 02 04 06 08 10
CUSUM 5% Significance
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
82 84 86 88 90 92 94 96 98 00 02 04 06 08 10
CUSUM of Squares 5% Significance
Figure 5 : CUSUM and squared CUSUM test for the 𝐶𝑂2 emissions equation
4.4. Granger causality analysis
The most interesting and important step after selecting the relationship between environment
degradation and its key determinants is the determination of the causality direction between each
couple of variables. The econometric theory suggests that at least one causal relationship should
exist if there exist a long run relationship between variables. In this paper, we use the standard
VECM Granger causality approach to investigate both the short and long run causal relationships.
The empirical results of the short and long run VECM Granger causality are reported in Table 8
and 9 for the 𝐶𝑂2 emissions and FP pollutants, respectively..
31
Our empirical findings concerning the causal relationship differ significantly between the two
pollutants employed in this paper. using the 𝐶𝑂2 emissions pollutant, the empirical results for the
long and short run causality is reported in Table 8. Empirical results show that bidirectional
causality is running from 𝐶𝑂2 emissions to the real GDP per capita, financial development and
openness trade. We found also bidirectional causality running from openness trade to real GDP
per capita and financial development. In the short run, our empirical findings show that
urbanization causes the 𝐶𝑂2 emissions, we found also that financial development and urbanization
causes real GDP.
Table 8 : The short and long run VECM Granger causality analysis
Dependen
t
Variable
Type of Granger causality
Short-run Long-run
𝛥𝐿𝐶𝑂2𝑡 𝛥𝐿𝑅𝐺𝐷𝑃𝑡 𝛥𝐿𝐸𝐿𝐸𝐶𝑡 𝛥𝐿𝐹𝐷𝑡 𝛥𝐿𝑈𝑅𝐵𝑡 𝛥𝐿𝑂𝑃𝐸𝑁𝑡 1ECM
t
F-statitics [p-values]
[t-
statistics]
𝛥𝐿𝐶𝑂2𝑡 - 7.564*
[0.000]
0.654
[0.522]
6.100*
[0.003
]
2.626**
*
[0.077]
5.929*
[0.000]
-0.100*
[-2.881]
𝛥𝐿𝑅𝐺𝐷𝑃𝑡 2.682**
*
[0.073]
- 0.679
[0.509]
16.63*
[0.000
]
3.049**
*
[0.052]
8.007*
[0.000]
-0.064**
[-2.276]
𝛥𝐿𝐸𝐿𝐸𝐶𝑡 0.695
[0.502]
1.699
[0.129] -
0.178
[0.837
]
0.028
[0.973]
0.525
[0.593]
0.006
[0.280]
𝛥𝐿𝐹𝐷𝑡 4.524**
[0.013]
12.39
[0.000]
0.333
[0.717] -
1.181
[0.311]
4.680**
[0.011]
-0.052
[-1.106]
𝛥𝐿𝑈𝑅𝐵𝑡
1.731
[0.182]
1.206
[0.312]
0.061
[0.941]
0.043
[0.958
]
- 0.008
[0.992]
0.001
[0.332]
𝛥𝐿𝑂𝑃𝐸𝑁𝑡 3.945**
[0.023]
4.249*
[0.003]
0.041
[0.959]
5.916*
[0.004
]
0.397
[0.673] -
0.025
[0.213]
*, **, *** indicate significance at the 1%, 5% and 10% level respectively.
Using the ecological Foot Print variable, empirical results reported in Table 9 show that, in the
long-run, only the ECT coefficient associated with the ecological foot print variable is significantly
different from zero and have a negative sign. This means that, for only this variable, there is an
evidence of an error correction mechanism which derives this variable back to their long-run
relationship. In the short-run, we found strong evidence for bidirectional causality between the
ecological foot print and real GDP per capita, electricity consumption and financial development
variables. Bidirectional causality is also running between the real GDP per capita, and electricity
consumption and urbanization. On the other hand, unidirectional causality relationship is found
between the urbanization and the foot print variable and between the financial development to the
real GDP per capita variable.
32
Table 9 : The short and long run VECM Granger causality analysis
Dependent
Variable
Type of Granger causality
Short-run Long-run
𝛥𝐿𝐹𝑃𝑡 𝛥𝐿𝑅𝐺𝐷𝑃𝑡 𝛥𝐿𝐸𝐿𝐸𝐶𝑡 𝛥𝐿𝐹𝐷𝑡 𝛥𝐿𝑈𝑅𝐵𝑡 1
ECMt
F-statitics [p-values] [t-statistics]
𝛥𝐿𝐹𝑃𝑡 - 3.162**
[0.047]
6.255**
[0.015]
5.419*
[0.006]
2.515
[0.116]
-0.0563**
[-2.165]
𝛥𝐿𝑅𝐺𝐷𝑃𝑡 2.378***
[0.098] -
5.830*
[0.004]
1.666
[0.194]
4.942*
[0.009]
0.005
[0.707]
𝛥𝐿𝐸𝐿𝐸𝐶𝑡 5.104*
[0.262]
3.852**
[0.025] -
2.641***
[0.100]
3.633**
[0.030]
-0.019
[-1.322]
𝛥𝐿𝐹𝐷𝑡 5.684*
[0.005]
28.93*
[0.000]
0.333
[0.718] -
1.092
[0.339]
-0.026
[-0.638]
𝛥𝐿𝑈𝑅𝐵𝑡
2.733***
[0.070]
3.278**
[0.015]
1.568
[0.214]
1.253
[0.213] -
0.0003
[0.231]
*, **, *** indicate significance at the 1%, 5% and 10% level respectively.
5. Concluding remarks and Policy implications
5.1. Summary
The papers examines possible long run relationship between 𝐶𝑂2 emissions and ecological foot
print pollutants considered as proxies of environment degradation and economic growth,
electricity consumption, financial development, urbanization and openness trade. In contrast to the
previous studies in this area, this paper is novelty at least in three elements. We investigate the
case of the Qatar country that is not yet examined as a single country. We use recent tests of unit
root and tests for cointegration with structural breaks rarely examined in the empirical studies such
as the Silvestre et al. (2009), and Gregory and Hansen (1996) and Hatemi-J (2008) respectively.
Moreover, when estimating the long run relationship we use the Markov switching equilibrium
correction model with shift in the intercept and slope coefficient of the real GDP per capita
variable. We investigate the Granger causality direction among variables within the context of
VECM framework.
The results of the unit root tests with structural breaks show that all series in level are non-
stationary and integrated with first order, e.g I(1), with the presence of structural breaks. This result
can be viewed as an indicator of possible existence of breaks in the cointegration vector if there
exist. After verifying that all variables are I(1) processes, the second step is to test for cointegration
with structural breaks using the Gregory and Hansen (1996) for one unknown break in the
cointegration vector and Hatemi-J (2008) test for cointegration with two unknown breaks.
Empirical findings show that both tests of cointegration, with one unknown or two unknown
breaks, cannot reject the alternative hypothesis of cointegration with shifts in both the intercept
and slope coefficients indicating the existence of long run relationship among investigated
variables. The results of estimation of the long run relationship with Markov shifts supports the
33
existence of a cointegration vector with two structural breaks as indicated in the probabilities
smoothing evolution. Moreover, we found that only the intercept and the slope coefficient of the
real GDP per capita variable shifts between regimes.
More precisely, our empirical results show that the inverted U-shaped hypothesis between the
environment degradation proxy and economic growth cannot be rejected for the two pollutants
examined, the CO2 emissions and ecological footprint. Moreover, we found that the impact of
electricity consumption is positive for the CO2 emissions environment degradation proxy and
negative for the ecological foot print proxy. We found also that urbanization and financial
development have positive and statistically significant impact on both pollutants. Concerning the
openness trade, we found that this variable determines positively the 𝐶𝑂2 emissions.
Concerning the Granger causality results, we found bidirectional causality running from 𝐶𝑂2 emissions to the real GDP per capita, financial development and openness trade. We found also
bidirectional causality running from openness trade to real GDP per capita and financial
development. In the short run, our empirical findings show that urbanization causes the 𝐶𝑂2 emissions, we found also that financial development and urbanization causes real GDP. For the
ecological footprint proxy, we found strong evidence for bidirectional causality between the
ecological foot print and real GDP per capita, electricity consumption and financial development
variables. Bidirectional causality is also running between the real GDP per capita, and electricity
consumption and urbanization. On the other hand, unidirectional causality relationship is found
between the urbanization and the foot print variable and between the financial development to the
real GDP per capita variable.
To summarize, this paper validate the EKC hypothesis for the Qatar state behavior differ across
regimes. Following this result, the location of the turning point depends on whether the Qatar
economy is in the first or second regime. This indicates also that the country economic structure
may play an important role in determining the speed and the time necessary to reach the turning
point.
5.2. Policy implications
The design of the appropriate policies required to improve the environmental quality is of great
importance for the Qatari government and Qatari policy makers. The effectiveness of the proposed
environmental strategy depends mainly on whether policy makers have completely understand the
variables that determine the environmental degradation and the causal relationships among these
determinants. The results of validating the EKC hypothesis and the Granger causality testing have
many policy implications. First, the results that validate the EKC hypothesis suggests that the rise
in economic growth in recent years has been associated with lower environmental degradation.
However, the challenge persists as Qatar remains one of the countries with highest CO2 emissions
in the world. Therefore, more efforts must be undertaken by policymakers to minimize the level
of emissions in the country. Second, it is important to recognize that policymakers are restricted
from imposing conservation policies due to the confirmed results of the bidirectional relationship
between economic growth and electricity consumption. This is because policies are likely to lower
not only CO2 emissions but also the level of economic growth. Accordingly, one measure that can
be undertaken to balance environmental quality and economic growth is to generate electricity
34
from renewable energy sources. According to the World Bank indicators, 100% of the electricity
production in Qatar in 2012 came from natural gas8. If the country were to diversify the production
of electricity by using renewable energy sources such as: solar power, wind power or wave power,
the emissions from electricity production will be reduced without negatively affecting economic
growth. Additionally, policies should be implemented to ensure saving and efficient use of energy.
This can be done by adopting energy efficiency technologies, and influencing the behavior of
consumers mainly by raising the prices of energy sources which is likely to lead to better
exploitation of available energy. Moreover, reducing the energy subsidy will lead to better
utilization of energy sources.
5.3. Limits and extensions
One of the major limits of our paper consists on allowing for a maximum of two breaks in the
cointegration vector of the long run relationships. As noted before, this choice is mainly explained
by the period of study that does not allows to consider more than 2 breaks. As possible extension
of this paper and in the case of collecting a data that can cover a more long period is to consider
the recent tests for cointegration with multiple breaks proposed by Arai and Kurozumi, 2007; and
Kejriwal and Perron, 2010. Another possible extension of our study is to include some others
socio-demographics and institutional variables as determinants of environment degradation
proxies such as fertility rate, life expectancy, political index as in Charfeddine and Khediri (2015).
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