How Does Informal Economy Affect Ecological Footprint?
Empirical Evidence from Saudi Arabia
MEHDI ABID
Department of Finance and Investment, College of Business,
Jouf University, Skaka,
SAUDI ARABIA
ZOUHEYR GHERAIA
Department of Business Management, College of Business,
Jouf University, Skaka,
SAUDI ARABIA
HANANE ABDELLI
Department of Business Management, College of Business,
Jouf University, Skaka,
SAUDI ARABIA
RAJA HAJJI
Faculty of Economics and Management,
Sousse University, Sousse,
TUNISIA
Abstract: Given the increase in the informal economy in developing countries economies, a better
understanding of the effect of the informal economy on environmental degradation is essential for policy
makers. The aim of this study is to examine the impact of the informal economy (IFE) on the ecological
footprint (EFP) in Saudi Arabia during the period 1981-2017. An autoregressive distributed lag model (ARDL)
was used to test the long-term relationship between the examined variables. It determined which variable was
causally related to the other using Granger causality analysis. The long-run coefficients of ARDL showed that
the IFE had a positive influence on ecological footprint in Saudi Arabia in the long run. In contrast, EFP can
increase the informal economy. The Granger causality based on VECM approach shows bi-directional causality
between EFP and IFE in the short run and the long run. Therefore, the findings of this study can help policy
makers in Saudi Arabia and a number of countries with a large informal sector to better understand the role of
governance in reducing the IFE in order to improve the environmental quality.
Keywords: ARDL; Ecological footprint; Shadow economy; Saudi Arabia.
Received: May 28, 2022. Revised: October 28, 2022. Accepted: November 29, 2022. Published: December 31, 2022.
1 Introduction and Literature Review
The informal economy employs more than half of
the global workforce and more than 90% of micro
and small enterprises worldwide, [1]. Informality is
a prominent feature of global labor markets, with
millions of economic units operating and hundreds
of millions of workers earning their living in
informal conditions ([2]; [3]). The term “informal
economy covers a wide variety of situations and
phenomena. The informal economy manifests itself
in various forms from one country to another or
within economies. Formalization measures and
processes aimed at fostering the transition to
formality must be adapted to the particular
circumstances encountered in different countries
and categories of economic units or workers ([4]).
Although the informal economy plays a positive
role in alleviating poverty and providing
employment and income to some disadvantaged
groups, especially in developing economies, the
informal sector poses potential long-term risks to
sustainable development ([5]; [6]; [7]).
Informality is only directly addressed by one target
of the Sustainable Development Goals (SDGs),
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namely target 8.3. Indirectly, several other SDGs
on poverty (SDG 1), gender equality (SDG 5),
inequality (SDG 10), institutions (SDG 16), and
partnerships (SDG 17) are also important for
informality. Sustainable development is considered
the ideal paradigm of development and the search
for the satisfaction of three objectives:
environmental protection, economic efficiency and
social equity ([8]; [9]; [10]).
Over the past decades, several articles have
investigated the relationship between
environmental degradation and a set of
macroeconomic variables. The link between the
informal economy and environmental quality has
received little attention in the academic literature
([11]; [12]; [13]). According to this empirical
perspective, developing countries have a large
informal economy as a percentage of formal gross
domestic product (GDP) ([14]). Studies that ignore
the informal economy can lead to biased
conclusions when it comes to the link between
environmental degradation and economic growth.
Several fields have benefited from the contribution
of this current study to environmental economics
literature. This paper is the first to tackle the
informal economy’s (represented by GDP growth)
role in environmental degradation in Saudi Arabia
([15]; [16]; [17]; [18]). This study is needed,
however, because the informal sector is neglected
when it comes to environmental issues. Economic
activities have an environmental impact that is not
adequately represented by the formal economy.
Second, this study uses the Ecological Footprint
(henceforth EFP) as a proxy for environmental
degradation. Previous studies used CO2 emissions,
methane emissions and PM4 ([19]; [20]; [21]; [17])
as a proxy for environmental pollution. Although
these indicators are widely used in the existing
literature, they do not reflect the entire natural
habitat ([22]); while increasing technological
progress and regulatory framework could reduce
CO2 emissions.
Additionally, this study examines the causal
directions between informality and EFP. Studies
that examined causal relations between economic
growth and environmental degradation without
acknowledging the influence of the informal
economy tend to be inconclusive. In Mexico, [23]
demonstrated a one-way causal relationship
between economic growth and environmental
pollution; in China and Malaysia, [24] confirmed it.
Meanwhile, in [25], [26], and [27] the authors
found that pollution is causally related to economic
growth unidirectionally, while studies by [28] and
[29] found that environmental degradation did not
have a negative impact on economic growth.
Environmental degradation and the informal
economy need to be investigated to contribute
significantly to existing studies.
The remainder of the paper is organized as follows.
Section 2 presents the data and methodology;
section 3 presents the empirical results, and the
conclusion and policy recommendations are
discussed in the final section.
2 Data and Methodology
2.1 Data
The analysis focuses on the case of Saudi Arabia
during the period 1981-2017 to study the effect of
the informal economy in addition to the formal
economy on the ecological footprint. The main
variables of the analysis are the formal GDP per
capita (EF), the informal GDP per capita (IFE) and
the ecological footprint per capita (EFP). the
Ecological Footprint per capita (EFP) is used as a
proxy for environmental degradation. The EFP
measures human activities in six main areas. Data
for FFP is obtained from the Global Footprint
Network (2021). The informal economy refers to
all illegal activities. Data on the informal economy
are from [30]. GDP per capita is expressed in US
dollars (constant 2015), the informal economy (in
% EF) and the ecological footprint per capita in
global hectares (gha) per capita. Urbanization
(URB) is Urban population (% of the total
population). The other variables are used as control
variables, namely trade openness (TOP) is
calculated as the ratio of imports and exports to
gross domestic product (GDP). Data on EF, TOP
and URB were taken from the World Bank
database (World Development Indicators ([31])).
2.2 Methodology
In order to test the long-term relationship between
the informal economy, the ecological footprint, the
formal economy, urbanization and trade openness
for the case of Saudi Arabia, our article is based
first on the tests of Augmented Dickey Fuller
(ADF) and Phillips Perron (PP) unit root to
determine the order of variables. The second step is
to study the long-term equilibrium relationship
between the variables using the ARDL approach.
Finally, the Granger causality test is used to
examine the direction of the causal relationship
between variables. Indeed, the determination of the
order of the variables is a necessary preliminary
step before proceeding to the ARDL analysis which
only accepts the integrated variables of order I (0)
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and I (1). Unit root tests are therefore used in order
to avoid the inclusion of I(2) variables. In our
article, two types of unit root tests are used;
namely, the Augmented Dickey Fuller (ADF) and
the Phillips Perron (PP) test. Then, in order to
determine the short- and long-term co-integration
between the variables, the autoregressive
distributed lag model ARDL, recently developed by
[32], is used. Indeed, this approach allows better
results when the study concerns a small sample,
which is our case. Comparing it to other traditional
cointegration methods, this method has three
advantages. The first is that it does not require the
variables to be integrated in the same order of
integration, the variables can be integrated in the
same order or in a different order. In other words,
they can be I(1) and I(0) but never of an order
greater than one. The second advantage is that this
method is more efficient than the others in case the
sample sizes are small. The third and final
advantage is that the ARDL method provides
unbiased estimates of the long-term coefficients
([33]). As we can see, we have two key variables
(EFP and IFE), and our approach is to work on two
models, the idea is that each of the variables
occupies the role of the dependent variable in the
model.
However, for economic interpretation reasons and
in order not to depart from the framework of the
problem we posed at the start, we are going to use
two models instead of five. This means that only
two variables will move to the left side of the
model and will occupy the role of the dependent
variable in the latter; namely, the ecological
footprint and the informal economy. The other
three remaining variables- i.e., economic growth,
trade openness and urbanization- will occupy the
role of control variable in the two models. The
ARDL models used in this work are:
01 11 1 12 1 13 1
1 1 1
1 2 3 1
1 0 0
t t t t
m k k
i t i i t i i t i t
i i i
EFP EFP IFE X
EFP IFE X
(1)
02 21 1 22 1 23 1
1 1 1
1 2 3 2
1 0 0
t t t t
m k k
i t i i t i i t i t
i i i
IFE EFP IFE X
IFE EFP X
(2)
Where EFP is the ecological footprint, IFE is the
informal GDP. The variables
it
X
(
) represent the control variables of
the model, namely economic growth, trade
openness and urbanization; Δ represents the first
difference operator. The parameters
1i
(
) and
2i
( 1,2,3)i
characterize the long-term
equilibrium between the variables while the
coefficients
1i
,
2i
,
3i
and
1i
,
2i
,
3i
represent the short-term dynamics of the series
studied;
k
and
m
are the optimal delay of the
model selected using the Akaike and Schwarz
information criteria.
The first step of the ARDL cointegration approach
is to carry out the bounds test in order to test the
existence of a long-term relationship between the
variables. The test statistic is the F-statistic. For
equation (1), the null hypothesis is
1
0 1 2 3
:0
i i i
H
and
2
0 1 2 3
:0
i i i
H
, reflecting the absence of a
long-term relationship. The alternative hypothesis
is expressed as follows:
1
1 1 2 3
:0
i i i
H
and
2
1 1 2 3
:0
i i i
H
. The calculated F-
statistic is compared to two sets of critical values
estimated by [32]. The first represents the lower
bound and corresponds to the variables of the
model which are stationary and the second
represents the upper bound and corresponds to the
integrated variables of order 1. Then, the calculated
F-statistic is compared to the two bounds: (1) if the
value of the F-statistic exceeds the upper bound, we
reject H0; (2) if the value of the F-statistic is less
than the lower bound, we do not reject H0; (3) if the
value of the F-statistic is between the two limits, it
is not possible to conclude.
If there is a long-term relationship between the
variables, the ECM model presented below will be
estimated:
11
01 1 1 2
10
1
31
0
mk
t t i t i i t i
ii
k
i t i t
i
EFP ECT EFP IFE
X




(3)
11
02 1 1 2
10
1
32
0
mk
t t i t i i t i
ii
k
i t i t
i
IFE ECT IFE EFP
X




(4)
The error correction coefficient (
1t
ECT
) indicates
the speed of return to long-term equilibrium
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following a short-term shock. This coefficient must
be negative and significant to ensure the validity of
the models.
In the case of time series, an appropriate technique
should be used with a view to estimating the long-
term relationship between the model variables. We
can use, on the one hand, the FMOLS (Fully
Modified Ordinary Least Square) estimator
developed by [34], and on the other hand, the
DOLS (Dynamic Ordinary Least Square) estimator
of [35] and [36]. In this context, for [37], these two
techniques lead to asymptotically distributed
estimators towards a normal distribution, with zero
mean and constant variance. Similarly, in [38] and
[39] the authors reach the same result using
FMOLS. However, Pderoni recognizes the
superiority of the DOLS method for estimating the
long-term relationship in the case of time series.
In the case where the variables of the model are
cointegrated, the meaning of the causality between
variables is measured through the Granger causality
test. In econometrics, causality between variables is
generally studied in terms of improving a variable’s
predictability. Indeed, according to the classic
causality study approach proposed by [40], the
causal link between an endogenous the two
variables are X and Y evaluate whether the past
values of X are useful to predict Y, and Y is said to
be Granger caused by X if helps to predict Y and
vice versa.
3 Empirical Results and Discussions
3.1 Unit Root Tests
To avoid making false estimates, it is essential to
determine the order of integration of each variable
before estimating the relationship between them.
For this, we apply unit root tests on formal
economy, ecological footprint, informal economy,
trade openness and urbanization in level and first
difference. Here, we perform the ADF unit root test
from Dickey & Fuller and the PP test from Phillips
& Perron. These tests are conducted to determine
whether a unit root is present (non-stationarity) or
absent (stationarity). As shown in Table 1, these
tests yield the following results:
Table. 1. Results of unit root tests
Variables
ADF
PP
Level
First
difference
Level
First difference
EFP
-2.121
-4.544***
-2.583
-3.587***
FE
-1.456
-3.366***
-1.569
-4.298***
IFE
-1.380
-3.088***
-1.525
-3.168***
TOP
-
2.267**
_
-
2.311**
_
URB
-
1.118**
_
-
1.311***
_
Notes: *, **, and *** indicate 10%, 5%, and 1% of significance threshold, respectively.
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Table 1 illustrates the results of these tests which
consistently record that all the series are non-
stationary in level, and stationary in first difference.
They are therefore integrated of order one I(1), with
the exception of the opening commercial (TOP)
and urbanization (URB) which are stationary in
level (I(0)). Considering these mixed order
integration results of the variables, I(0) and I(1),
our study fulfills the prerequisites for the
application of the ARDL model which is more
appropriate than the Johansen cointegration model,
to study the impact of each explanatory variable on
each endogenous variable in Saudi Arabia.
3.2 The Bounds Cointegration Test
After determining the order of integration of the
different variables as well as the optimal lag of the
model, we use the ARDL approach for co-
integration in order to determine the long-term
relationship between the variables. For this, we use
the “Bound Test”, the objective of which is to
calculate an F-statistic (Table 2).
Table 2. Results of Bounds test for cointegration
Depend
ent
variable
F-
statistics
(Bound
Test)
Lower
Bounds
I(0)
Upper
Bounds
I(1)
R2
DW
F-statistics
2
Normal
2
ARCH
2
RESET
2
SERIAL
F(EFP/
FE,
IFE,
TOP,
URB)
11.253
3.112**
5.680**
0.857
2.587
141.542
2.35
0.19
0.66
1.75
F(IFE/
FE,
EFP,
TOP,
URB)
10.789
4.046**
5.088**
0.798
2.147
139.887
3.06
0.87
0.32
0.94
**denote significance at the 1% threshold.
The notation F(EFP/FE, IFE, TOP, URB) shows
that the dependent variable is EFP. We notice in
Table 2 that when EFP and IFE occupy the role of
dependent variables, the value of the Fisher statistic
exceeds that of the critical value of the upper limit
at 1%; thus, with a risk of 1% we accept the
alternative hypothesis of cointegration in both
models. Hence, we can conclude that there is
cointegration between the variables.
Following the results of table 3, confirming the
existence of short- and long-term relationships
between the ecological footprint and its
determinants in Saudi Arabia, we estimate the
ARDL models corresponding to equations (1)-(2)
to verify the impact of these variables in the long
term as well as in the short term. Table 4 presents
the results of the ARDL estimation using the two
models above. In the first model, we consider the
different variables as potential determinants of the
ecological footprint. Then, in the second model, we
replace the ecological footprint with informal GDP
as the dependent variable.
In the long run, the empirical results present the
coefficients with their critical probabilities for all
the models. We find from the model (1), where the
dependent variable is the ecological footprint, that
the variables IFE, URB, TOP and FE have positive
and statically significant coefficients at the 1%
threshold. To be more explicit, a 1% increase in
informal economy, formal economy and
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urbanization will lead to an increase of 0.064;
0.002 and 0.008% ecological footprint,
respectively. On the other hand, a 1% increase in
trade openness will lead to a 0.004% decrease in
the ecological footprint. In model 2, all the
coefficients are significant. We retain for this
model, where the dependent variable is the
informal economy (IFE), that the ecological
footprint (EFP) accounts for the IFE with a
coefficient of (0.012) and which is significant at
1%. To be more explicit, a 1% increase in the
ecological footprint and urbanization will lead to an
increase of 0.012 and 0.004% in the informal
economy. In contrast, a 1% increase in formal
economic growth and trade openness will lead to a
decrease of 0.002 and 0.005% in the informal
economy.
Table 3. Long- and short-run estimation
Long-run
Variables
Model 1
t-Statistic
Model 2
t-Statistic
EFP
_
_
0.012***
(0.000)
8.551
IFE
0.064***
(0.001)
6.074
_
_
FE
0.008***
(0.000)
10.141
-0.002***
(0.001)
-5.026
TOP
-0.004***
(0.000)
-9.231
-0.005***
(0.001)
-7.190
URB
0.002***
(0.001)
6.055
0.004***
(0.001)
8.024
Short-run
ΔEFP
_
_
0.054**
(0.024)
2.210
ΔFE
0.028***
(0.000)
5.99
-0.022*
(0.064)
-1.821
ΔIFE
0.012**
(0.044)
2.331
_
_
ΔTOP
-0.025
(0.301)
-1.324
-0.023
(0.135)
-1.287
ΔURB
0.038
(0.331)
1.135
0.017*
(0.084)
1.912
ECTt-1
-0.823***
(0.000)
-11.023
-0.654***
(0.000)
-10.327
Constant
1.081***
(0.001)
7.085
0.765***
(0.000)
8.379
Diagnostic Check
Tests
White
(0.512)
(0.233)
LM
(0.620)
(0.366)
Ramsey-Reset
(0.133)
(0.168)
Jarque Bera
(0.355)
(0.298)
CUSUM
Stable
Stable
CUSUMSQ
Stable
Stable
Notes: *, **, and *** indicates 10%, 5%, and 1% level of significant respectively.
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In the short run, we see in Table 3, which presents
the error-correction models, that in both models (1
and 2) the lagged error-correction terms (ECTt-1)
are all significant and with the desired negative
sign, which confirms the cointegrating relationships
in the two models. That said, in the model (1), for
example, there is a very high speed of adjustment
toward equilibrium with a coefficient equal to -
0.823. There is also a strong speed for models (2),
but weaker than the first, with a coefficient equal to
-0.654. To be more explicit, there is approximately
82% and 65% of the imbalance coming from the
shocks of the previous years which is corrected and
converges towards the long-term equilibrium each
year for models (1) and (2). The results obtained
from the coefficients of the short-term dynamics
are displayed in Table 3. These results also show
similar trends to those observed for the long-term
estimates. The estimated short-term results indicate
that ecological footprints have a positive and
significant effect on ecological footprints.
Moreover, the informal economy increases
environmental degradation. We can deduce that the
underground economy accelerates polluting
emissions, whatever the period. Indeed, the results
show that urbanization increases environmental
degradation in Saudi Arabia and that the direction
of the impact is positive in all specifications of the
model, but its magnitude changes strongly
according to the regression model. Urbanization
has long-term effects on the ecological footprint in
Saudi Arabia, but in the short term, its impact is
insignificant. Our results confirm the conclusions
of [41] and [42].
To assess the robustness of our results, we
performed the four usual diagnostic tests on the
three estimated ARDL models. These tests are
presented in Table 4. The LM test for
autocorrelation of the regression residuals confirms
the absence of autocorrelation. White's test
confirms the absence of heteroscedasticity of the
residuals while the Jarque-Bera test shows that they
follow a normal distribution. The Ramsey test, on
the other hand, shows that there are no missing
variables or functional form issues in the model. In
addition, the stability tests of the cumulative sum of
recursive residuals (CUSUM) and the cumulative
sum of squares of recursive residuals (CUSUMSQ)
were applied to the four estimated models. As can
be seen in figures 1 and 2, the CUSUM and
CUSUMSQ statistics plots are well within the
critical limits, which implies that all the
coefficients of the four models considered are
stable during the estimation period.
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Model (1)
Model (2)
-12
-8
-4
0
4
8
12
2005 2007 2009 2011 2013 2015 2017
CUSUM 5% Significance
-12
-8
-4
0
4
8
12
2002 2004 2006 2008 2010 2012 2014 2016
CUSUM 5% Significance
Fig. 1: CUSUM test Results
Model 1
Model (2)
-0.4
0.0
0.4
0.8
1.2
1.6
2005 2007 2009 2011 2013 2015 2017
CUSUM of Squares 5% Significance
-0.4
0.0
0.4
0.8
1.2
1.6
2002 2004 2006 2008 2010 2012 2014 2016
CUSUM of Squares 5% Significance
Fig. 2: CUSUM Squares test Results
The presence of a cointegration relationship for the
equations having the ecological footprint and the
informal economy as endogenous variables does
not provide any indication of the direction of
causality between the different variables. Since the
𝐹-test showed that a relationship exists when EFP
and FE are considered as dependent variables in the
ARDL, the causality test is performed by
estimating a vector error-correction model (VECM)
as part of the ARDL.
3.4 The VECM Granger Causality
In the long run as well as in the short run, the
results presented in Table 4 show that the
equilibrium adjustment coefficients of EFP and IFE
have a negative sign and are significant at the 1%
threshold. This suggests a dynamic of return to
equilibrium, following macroeconomic shocks,
which implies the existence of a long-term
bidirectional causality between the two variables.
For example in the short run, a 1% increase in EFP
per capita leads, all other things being equal, to a
0.049% increase in IFE. Similarly, a 1% increase in
the IFE will generate an increase in EFP per capita
of 0.025%. This result suggests that any change in
the informal economy in terms of policy has a
resultant effect on EFP, while environmental policy
also influences the informal economy. The two-
way causality between the informal economy and
EFP supports the findings of [43], [11] and [21].
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Table 4. Causality Test.
Dep.Var
Source of causality
Short run
Long run
ΔEFPt
ΔFEt
ΔIFEt
ΔTOPt
ΔURBt
ECT
ΔEFPt
_
0.167*
(0.082)
0.025***
(0.000)
-0.011**
(0.020)
0.017
(0.215)
0.018***
[4.206]
ΔIFEt
0.049***
(0.003)
-0.188**
(0.039)
_
-0.057**
(0.041)
0.038
(0.458)
-0.037***
[-2.891]
Notes: Numbers in square brackets are Student's test statistics, while those in parentheses are p-values. ***, **
and * Significant coefficients at 1, 5 and 5% respectively.
Regarding the impact of other macroeconomic
variables, we note that economic growth and trade
openness negatively and significantly affect IFE
and EFP, while urbanization has no effect in the
short term. The impact of these control variables on
IFE and EFP in Saudi Arabia remains consistent
with theoretical predictions. First, increased trade
openness improves environmental quality. This
result is justified by the fact that trade could play a
positive role in this process by facilitating the
diffusion of environmentally friendly technologies
in Saudi Arabia. Of course, this would require
Saudi Arabia to be willing to remove barriers to the
import of modern technologies and environmental
services. Trade can improve the environment
through the composition effect and/or the
technology effect. On the other hand, to the extent
that there are complementary vertical relationships
between the formal and informal economy
(interconnected production chains, for example),
structural adjustment in the formal sector following
trade reforms can have a negative effect in the
short term – on the informal economy.
4 Conclusion and Policy
Recommendations
This study examined the relationship between
ecological footprint and informal economy of Saudi
Arabia between 1981 and 2017 using ARDL
bounds testing approach. The results of this study
prove the positive effect of informal economic
activity on ecological footprint levels, both in the
short and long terms. This result will allow us to
draw an important conclusion that, in the case of
Saudi Arabia, the informal economy is likely to
increase pollution levels and induce environmental
degradation. Thus, the results show that the
ecological footprint has a positive effect on the
informal economy. This reveals that the size of the
informal economy is very large. Moreover, Granger
causality results demonstrated that there was a two-
way causal interaction between ecological footprint
and informal economy, both in the short and long
terms. The results also show that trade openness
and urbanization have negative (positive) effects
significant on both ecological footprint and
informal economy.
In light of these findings, the government should
encourage the fight against informal economy
activities in general and in the environmental
sectors specifically for at least two reasons: (i) with
regard to the implementation and monitoring of
enforcement of environmental policies; all this with
the aim of mitigating the negative economic
consequences of the informal economy, which
range from the reduction of State revenues through
fraudulent environmental controls, to the
degradation of the environment and, (ii) the levels
of the informal economy are likely to significantly
reduce economic growth in the country and that
low levels of the informal economy would be
beneficial for economic growth. Thus, States must
think about putting in place regulatory frameworks
adapted to economic reality, such as progressive
taxation or simplified registration procedures in
order not only to minimize the size of the informal
economy but also to improve environmental
quality.
However, there are several issues regarding the
informal economy and labor regulations. One of the
major general problems is that legislation is often
not put in place nor does it serve its original
purpose, whether formal or informal economy.
Legislation may also be out of step with its
environment or require amendment. It is not always
well designed. Indeed, poorly crafted or poorly
enforced laws can clearly have a negative impact.
More generally, labor regulations must be adapted
to the context to which they apply. This is why it is
important to evaluate legal practices within the
environment in which they are implemented.
National good practices in terms of labor
WSEAS TRANSACTIONS on ENVIRONMENT and DEVELOPMENT
DOI: 10.37394/232015.2022.18.125
Mehdi Abid, Zouheyr Gheraia,
Hanane Abdelli, Raja Hajji
E-ISSN: 2224-3496
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Volume 18, 2022
regulations cannot therefore necessarily be
reproduced in different national contexts- a good
legal practice adopted in a given country does not
necessarily bring the same results when applied to
another environment. This comment applies to all
aspects of the issue of national regulation of
workers in the informal economy. Nevertheless,
even if there is no common solution to labor
regulation, carefully crafted regulation is an
essential means for all workers to enjoy their rights.
Acknowledgments:
This work was funded by the Deanship of
Scientific Research at Jouf University under Grant
Number (DSR2022-RG-0159).
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