Abstract
The study explores the impacts of the bi-demographic structure on the current account and gross domestic product (GDP) growth. Using structural vector autoregressive modeling (SVAR), we track the dynamic impacts on these underlying variables. New insights about the dynamic interrelation between bi-population age dependency rate, current account, and GDP growth have been developed. In the short and medium terms, the reactions of GDP growth to both shocks of native and immigrant working-age populations move unsteadily in opposite directions. However, in the long run, both effects become moderately positive. Additionally, the positive long-run contribution of immigrant workers to the current account growth largely compensates for the negative contribution of the native population. We find a negative hump-shaped reaction of Saudi Age Dependency Rate to immigration policy shocks during a generation. When the shocks emanate from immigrants’ working age, there is a complex mechanism from the complementarity process to the substitutability process between immigrants and the Saudi workforce. In the short and medium term, the immigrant workers are more complement than substitutes for native workers.
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Notes
The term immigrant is more appropriate in our case since the vast majority of foreign people has restricted visas and are connected to the persons or companies where they work through a sponsorship system (named Kafala, i.e., cautioner system).
The term of bi-demographic structure is justified by the wide size of the immigrant to the native population. In 2016, the immigrant working-age population was about 8.8 million, and the native active population reached 9.4 million.
The dependency rate refers to the ratio of children (below 25 years) and old aged (above 65 years) to the working age population (from 25 to 65 years). We can use the active age structure ratio which is the inverse of the age-dependency rate as in Fair and Dominguez (1991).
The overlapping generation framework supposes that the representative agent lives for four periods: childhood, young working age, old working age and retirement.
The first official population census of Saudi Arabia was in 1974, this explains the starting year of our dataset. During the period 1974–2016, there are many events and stylized facts that impacted and continue to impact the economic and demographic factors. First, the revenues from oil exports are the major financial sources of Saudi Arabia economy, such returns affect the CAB. Consequently, any perturbation in oil revenues leads to multiple shocks. Also, the reliance on foreign demand and foreign supply labor make the Saudi economy vulnerable to any international or regional or local crisis as the international financial crisis, regional wars, progressive changes in behaviors, and demographic changes in terms of ages or immigrant flows.
The sources of data are General Authority for Statistics (GaStat, Statistics library, https://www.stats.gov.sa/en), Saudi Monetary Authority (SAMA, Economic reports and statistics, http://www.sama.gov.sa/en-US/Pages/default.aspx).
The proportion of age structure are calculated within each group of the citizens and immigrants.
According to GaStat and the ministry of Labor (2015) and during the last decade 2005–2014, the immigrant labor force in the private sector reached in average 87%, and only 8% in the government sector.
For more details see the links: https://www.worldbank.org/en/topic/labormarkets/brief/migration-and-remittances or https://www.knomad.org/data/remittances.
Following the GaStat (Demographic Survey 2016), we define the immigrant age-dependency rate by considering the immigrant residents in Saudi Arabia.
According to the Saudi Ministry of Labor (Labor market report July 2016, page 15), most immigrant workers are low-skilled and habitually employed with low wages in construction, retail and wholesale trade, personal services, and manufacturing.
Differently to ADF test, KPSS test can check for the stationarity in the presence of a deterministic trend. It is a one-sided test because the parameter value of null hypothesis of stationarity is for the variance of random walk. We also apply Zivot and Andrews (2002) test to consider the structural breaks in the series (see Table 3, “Appendix 1”).
This leads to a significant reduction in the size distortion of the test in the relevant case of a highly autoregressive process.
PSS (2001) used dummy variables in their empirical work, they indicate that the inclusion of such variables does not affect the asymptotic associated critical values when the fraction of nonzero dummy variables tends to zero as the sample size increases. Nevertheless as in PSS (2001), the critical values are valid as even if the dummies appear in the CEC equation, but they are not in the levels-equation, i.e., long-run relationship.
Unfortunately and even if it allows for a maximum number of five breaks, we cannot apply the Bai and Perron (1998) test for multiple structural breaks dates selected endogenously, because it is not reliable for small sample size as it requires at least 100 observations.
In the case 2 where the ECT includes the intercept, the bounds cointegration test assumes the null hypothesis that \({b}_{0}={b}_{i}={a}_{0}=0, \forall i\). In the cases 4 and 5 where the ECT contains the trend, we test the null hypothesis that \({b}_{0}={b}_{i}={a}_{1}=0, \forall i\) and that \({b}_{0}={b}_{i}=0, \forall i\), respectively.
For more details on the ARDL strategy in testing and diagnosing the bounds cointegration, see the article of Philips (2018).
To save space, we have not displayed all ARDL outputs in Appendix, but all output are available upon request.
As indicated by Sachs (1982), it is important to develop a small theoretical model that focuses on few fundamental stochastic variables in analyzing the CAB. We have in progress a theoretical research project that distinguish native and immigrant population in the framework of present value modeling using overlapping generations.
As suggested by anonymous referee, we assess that we can employ other explanatory factors that could influence the nexus CA-population age structure such as the real exchange rate as raised by Aloy and Gente (2009), the world oil prices (Cooper 2008), and international liquidity. These factors are interrelated, and we hope to investigate the relationship of these variables in future studies. Nevertheless, it appears that the SAMA adopts a quasi-fixed nominal exchange rate to the US dollar. But it remains that the USD volatility directly impacts the price level in Saudi economy, and indirectly its CAB. Also, in the long run, it is expected that the changes in the real oil price would influence the real exchange rate (Habib and Kalamova 2007). However, within the VAR approach, it is already enough to work with four variables in managing the economic and financial meaning of the impulse response functions.
According to Ogaki (1993), the null of cointegration is harder to construct than the null of no cointegration. Additionally, he indicates that the empirical estimation of long-run covariances parameters, by using VAR pre-whitening method, can substantially improve the properties of CCR estimators in small samples.
The matrices A and B are both unknown constraints and parameters based on economic analysis and economic hypotheses. They serve to shift from reduced errors to structural errors that have economic meaning.
The Lagrange multiplier statistic of Breusch–Pagan (1980) can be determined by \(LM=T\sum_{k=2}^{K}\sum_{l=1}^{k-1}{r}_{kl}^{2}\) where \({r}_{kl}\) is the residual correlation coefficient between equations \(k\) and \(l\) defined by \({\widehat{\sigma }}_{kl}/{\left({\widehat{\sigma }}_{kk}{\widehat{\sigma }}_{ll}\right)}^{1/2}\). The limiting distribution of this statistic is \({\chi }_{q}^{2}\) as for the LR statistic. The LM statistic is easier to calculate because it does not require the maximum likelihood estimates of \({\Omega }_{\upvarepsilon }\). From Table 3.2 (“Appendix 1”), we obtain that \(LM=20.33\) which is greater than the critical value of 12.59, leading also to reject the null hypothesis of diagonal covariance matrix.
The test of Brown and Forsythe (1974) provides that BF-statistic is about 33.42 with a p value of 6.54E−17, meaning a strong evidence of heteroskedasticity between residuals-VAR variances.
The number of non-redundant elements of variance–covariance matrix \({\Omega }_{\upvarepsilon }\) is \(K\left(K+1\right)/2\), where \(K\) is the number of variables in the VAR. Accordingly, we can identify just \(K\left(K+1\right)/2\) parameters of the structural VAR. Since there is \({2K}^{2}\) elements in the matrices \(A\) and \(B\), the number of required restrictions to identify the full AB-model is \({2K}^{2}-K\left(K+1\right)/2\) which is equal to \({\mathrm{K}}^{2}+\mathrm{K}\left(\mathrm{K}-1\right)/2\). If the matrix \(A\) or \(B\) is set to be the identity matrix, then \(K\left(K-1\right)/2\) restrictions remain to be imposed.
By definition, an increase in active age population corresponds to a decrease in age-dependency rate (ADR), and vice versa.
The trade-off between the just-identification and the statistical significance of the parameters in AB-model leads to prefer an over-identification, requires to test the null hypothesis of the restrictions validity using likelihood ratio (LR) statistic. This is asymptotically distributed as \({\chi }_{\left({q}_{u}-{q}_{r}\right)}^{2}\) where \({q}_{u}\) and \({q}_{r}\) are the number of restrictions under just-identification and over-identification, respectively. In our case, we find that \({\chi }_{\left(10-8\right)}^{2}=0.0425\) with a p value 0.979, meaning that there is no statistical significance between outcomes of restricted and unrestricted identification.
For more details on SVAR identification and related algebra, see Lucchetti (2006).
Because, as the young and elderly population do not regress, a decrease in the Saudi ADR means more Saudi working-age population that occupy jobs in the labor market.
According to McKinsey Global Institute Report (2015), the complementarity holds mostly in the private sector where the immigrants are predominantly employed, but they appear more substitutes than complements in the public sector dominated by Saudi nationals.
All data and empirical outputs are available upon request.
By considering the OECD countries, Ortega and Peri (2009) emphasize that there is no evidence of crowding-out of natives by the immigrants.
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Acknowledgements
We thank the Deanship of Scientific Research of King Faisal University for granting this research paper under the number 170034. The authors thank the two anonymous referee.
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This study was funded by Deanship of Scientific Research of King Faisal University (Grant Number 170034).
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Appendices
Appendix 1
See Tables 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
Notes on ARDL Bound test
The ARDL approach introduced and revised by Pesaran et al. (2001) is mostly used in empirical research when the regressors have a different order of integration or are all I(1) or all I(0). The ARDL bound model is based on the conditional error correction (CEC) model, which is formulated as follows (PSS 2001):
where \(y_{t}\) is a random scalar process that is conditionally modeled given the k-vector of random variables \(x_{t}\) and the past values \(z_{t - i} = \left( {y_{t - 1} ,{ }x_{t - i}^{^{\prime}} } \right)^{^{\prime}}\), and \(u_{t}\) is the error term. The deterministic components are the intercept and the trend \(t\), which are associated to a drift parameter \(a_{0}\) and a time trend parameter \(a_{1}\), respectively. When the deterministic components contribute to the error correction term, they are implicitly projected onto the span of the cointegrating vector, implying that \(a_{0}\) and \(a_{1}\) in the CEC model must be restricted.
Narayan (2005) does not consider the critical value (CV) bounds of the t Statistic for the cases 1, 3 and 5. For the case 5, PSS (2001) provide that at 5% of significance, the lower stationary bound and the upper bound are − 3.410 and − 4.160, respectively; and at 1% of significance − 3.960 and − 4.730, respectively. If the computed F-Statistic is higher than the upper bound of CV, then the null of no cointegration is rejected. The lower bound is based on the assumption that all of the variables are I(0), while the upper bound that all of the variables are I(1).
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Ghassan, H.B., Alhajhoj, H.R. & Balli, F. Bi-demographic and current account dynamics using SVAR model: evidence from Saudi Arabia. Econ Change Restruct 55, 1327–1363 (2022). https://doi.org/10.1007/s10644-021-09348-2
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DOI: https://doi.org/10.1007/s10644-021-09348-2