Research Article |
Corresponding author: Imran Ali ( imranalieco@gmail.com ) Academic editor: Marina Sheresheva
© 2025 Imran Ali, Vladislav Gusev, Linara Khadimullina.
This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Citation:
Ali I, Gusev V, Khadimullina L (2025) Analyzing the Role of Key Macroeconomic Indicators relating to Pakistan’s GDP Growth: A Time-Series Examination. BRICS Journal of Economics 6(1): 5-33. https://doi.org/10.3897/brics-econ.6.e128607
|
Economic landscape of Pakistan is determined by an extremely complex interaction of domestic and global forces; navigating it successfully requires a clear understanding of its character. The paper explores the dynamic relationships between macroeconomic variables and GDP growth in Pakistan using the Autoregressive Distributed Lag (ARDL) model and other stability tests using time series data from 1980 to 2022. The analysis includes variables representing GDP per capita, inflation, imports, total debt as a percentage of GDP, total population, and forestry and agricultural output. The correlation matrix shows a positive association between GDP growth rate and GDP per capita, total debt service is inversely correlated with total population, and GDP demonstrates a significant negative correlation. The ARDL results indicate that GDP per capita and the agriculture and forestry sectors are significant drivers of economic growth. Over the period in question, inflation only marginally affected GDP growth showing how important it is to maintain price stability through effective policies. Imports provide short-term benefits by enhancing productivity through capital goods and technology inflows but they may pose long-term challenges due to trade imbalances. The influence of population growth appears to be ambivalent: in the short term it contributes to economic growth by increasing labor supply and consumption; in the long term, however, its effect may become detrimental owing to resource constraints. Public debt shows little influence in the short term but negatively impacts growth over time by increasing the fiscal burden of debt servicing. These findings suggest that to achieve long-term economic stability and growth, the country needs targeted policy interventions that should help it control inflation, manage the debt sustainably, optimize imports, and invest in agriculture, which is an important determinant of GDP growth. Future research should concentrate on sector-specific studies and the effects of political stability on economic growth in order to provide deeper insights contributing to Pakistan’s sustainable economic development.
Macroeconomic Dynamics, Economic Stability, GDP Growth, Inflation, Agriculture and Forestry, ARDL Model, Pakistan
The economy of Pakistan, with its complex economic landscape and serious potential for growth and development, has been subject to various forces, both domestic and global. The most pressing issues the country has been grappling with over the past decades include high inflation, energy shortage, water stress, and fiscal instability (
Pakistan’s economy has experienced significant fluctuations over the past four decades driven by a mix of domestic and international factors. There have been periods of economic growth but persistent challenges like inflation, external debt, trade deficits, and population pressures continue to hinder the country’s sustained development. The existing literature mostly focuses on isolated variables or shorter timeframes so a critical gap remains in understanding how these macroeconomic variables together influence GDP growth over an extended period. Moreover, the bidirectional effects of population dynamics and contributions of certain key sectors, e.g. agriculture and forestry, to economic performance appear to be underexplored. This study aims to address these gaps by employing an integrated approach to the analysis of the dynamic relationships between Pakistan’s GDP growth and other macroeconomic variables. Using ARDL model, it investigates their short-term and long-term impacts and offers comprehensive perspective on the factors that drive or impede economic stability and growth. The findings should provide actionable insights for policymakers to formulate effective strategies that will promote sustained growth and enhance resilience against future economic challenges.
This research aims to investigate macroeconomic factors that influenced GDP growth in Pakistan between 1980 and 2022, including GDP per capita, imports, inflation, population growth, and public debt. One of the primary objectives is to assess how these variables interrelate to shape economic performance. The study evaluates the distinct short-term and long-term effects of targeted variables on economic growth and, based on the empirical findings, outlines possible measures for promoting sustainable economic growth in Pakistan. The research intends to answer the following key questions:
What were the major determinants of GDP growth in Pakistan over the last four decades? How did these factors affect the economic landscape? What were the differential impacts of inflation, agricultural output, and public debt on GDP growth in the short and long run? and how effectively does the ARDL model explain the interactions between these variables and their influence on economic growth?
The study hypothesizes a positive relationship between GDP per capita and GDP growth, suggesting that higher income levels contribute to broader economic expansion. This hypothesis is supported by empirical results indicating that GDP per capita significantly boosts economic growth. Inflation is expected to have a negative impact on GDP growth as high inflation erodes purchasing power and results in economic instability. The findings confirm that inflation negatively affects GDP growth, especially in the long run. The role of imports is hypothesized to be ambivalent. While imports can positively impact GDP growth by bringing in capital goods and technology, excessive reliance on imports may lead to trade deficits. The results indicate that imports have mixed effects, boosting growth in the short term but posing risks if not managed properly over time. Population growth is anticipated to a have bidirectional impact. It can enhance labor supply and consumption but unchecked growth may strain resources and infrastructure. The analysis reveals that population growth has a significant effect on GDP, with both positive and negative implications depending on the context. Public debt is hypothesized to have a detrimental impact on GDP growth due to the financial burden of debt servicing and subsequent reduction in fiscal space for productive investments. The research results confirm this hypothesis showing that high public debt, especially in the long run, adversely affects economic growth, which highlights the importance of effective debt management for sustained economic stability. By testing these hypotheses, the research provides a deeper understanding of the macroeconomic dynamics in Pakistan and offers valuable insights for policymakers to develop strategies that balance growth with economic stability.
Historically Pakistan’s economy has been marked by volatility, with periods of growth followed by stagnation or decline because of fiscal deficits, inflationary pressures, and trade imbalances. Previous studies have highlighted a significant impact of inflation, trade openness, and foreign direct investment (FDI) in shaping economic outcomes (
Population dynamics, agriculture, and forestry are often critical yet underexplored areas in economic growth studies. Population growth, for instance, can impact the economy in two ways: it can drive growth through increasing labor force and consumer base but it can also strain resources and infrastructure if not managed properly. The study’s insights into the bidirectional nature of its impact on GDP may prove valuable for formulating demographic and economic policies. For an agrarian economy like Pakistan, where a large share of the population depends on agriculture for livelihood, to achieve sustainable growth, it is absolutely essential to understand how this sector interacts with macroeconomic variables. The findings suggest that enhanced agricultural productivity and sustainable forestry practices can have a positive ripple effect on the whole economy, contributing to food security, employment, and export revenues. The study’s conclusions on how to control inflation, optimize debt service, and foster export-oriented industries are grounded in empirical evidence, which should make them useful for resolving Pakistan’s economic challenges. Future research directions suggested by the authors, such as sector-specific analyses and assessing the role of political stability in economic growth may become valuable contributions to economic studies and their potential to inform policy discourse in Pakistan.
The paper offers a thorough analysis of the macroeconomic factors affecting GDP growth but it is not without limitations. One key limitation is the reliance on secondary data sourced from international databases. Although these sources are generally reliable, discrepancies or gaps in their quality and availability could affect the robustness of the results. Moreover, the study covers a broad timeframe, and structural changes in the economy or external shocks such as global financial crises may not be fully accounted for in the model. Another limitation is the paper’s focus on quantitative analysis: it may give insufficient attention to some of the qualitative factors, e.g. political stability, governance quality or institutional effectiveness. These elements play a critical role in economic performance but may be difficult to quantify and integrate into econometric models. Additionally, the ARDL model, while suitable for capturing short-term and long-term relationships, has inherent limitations related to lag selection and potential model specification errors, which could influence the results. Lastly, the study is context-specific, which limits the generalizability of the findings to other developing countries with different economic structures.
The nexus between macroeconomic variables and economic growth has long intrigued economists and policymakers, especially in developing economies such as Pakistan. This section offers an overview of the key studies into this relationship within Pakistan’s economic context, highlighting significant results and areas that require further investigation.
Further exploring macroeconomic dynamics,
The analysis of macroeconomic variables in this paper uses the data obtained from the World Development Indicators (WDI) for the period between 1980 and 2022. The variables are GDP Rate, CPI INF, A&F, GDP Per Capita, Imports, Total Debt Service and Total Population. This dataset offers a valid foundation for the study of macroeconomic dynamics and provides a more rigorous understanding of Pakistan’s economic trends and patterns. It contains 43 observations, covering the key economic indicators: GDP growth rate (GDP_RATE), GDP per capita (GDP_PER_CAPITA), inflation rate measured by the Consumer Price Index (CPI_INF), Agriculture and Forestry output (A_F), total imports (IMPORTS), total debt as a share of GDP (T_DEBT_S), and total population (T_POP). These variables were selected based on their relevance to the macroeconomic performance of Pakistan and their availability over the entire study period.
Economic variables | Indicators | Short name |
Economic growth | Annual GDP growth rate % | GDP Rate |
Inflation, Price Level | Annual Inflation, consumer prices % | CPI INF |
Agricultural productivity | Agriculture, forestry, and fishing, value added (annual % growth) | A&F |
GDP per capita | Annual GDP per capita growth % | GDP Per Capita |
Debt Burden | Total debt service (% of GNI) | Total Debt Service |
Population | Total Population Annual | Total Population |
Imports | Annual Imports of goods and services % growth | Imports |
The analysis of macroeconomic dynamics employs Excel charts, descriptive statistics, Augmented Dickey-Fuller ADF, unit root tests, correlation analysis, and econometric models such as ARDL Model by Using Excel, E views. Excel is used to create visual representations of the macroeconomic variables with charts. Descriptive statistics represent tendencies and variability of data, Subsequent ADF unit root tests reveal significant stationarity for most variables. Correlation analysis uncovers notable relationships and the Autoregressive Distributed Lag (ARDL) model captures long-term relationships. The F-bounds test helps confirm the stability of long-run relationships, while the Wald test validates the joint significance of coefficients in the ARDL model. Together, these methodologies provide a comprehensive understanding of the interconnected dynamics of macroeconomic variables in Pakistan.
Descriptive statistics are computed to provide an initial understanding of the dataset’s characteristics, including central tendency, dispersion and distributional properties. It is crucial for identifying basic patterns and potential anomalies in the data which could affect the subsequent econometric analysis (
The ARDL model is a widely used tool of analysis (
Another significant advantage is its good performance in small sample sizes, which makes it particularly suitable for studies with limited data, a common scenario in developing economies where long-term historical data may not be reliable or even available. The ARDL model produces reliable and consistent estimates, even when the sample size is not large enough to meet the asymptotic properties required by other cointegration techniques such as the Johansen approach (
Yet, the ARDL model has its limitations. One critical issue is the potential for misspecification, especially in the selection of appropriate lag lengths. The accuracy of ARDL estimates heavily depends on the correct identification of lag lengths for each variable since improper selection can lead to biased or inconsistent results. This challenge necessitates a precise application of lag selection criteria such as the Akaike Information Criterion (AIC) and Schwarz Bayesian Criterion (SBC) to ensure model reliability (
Recent literature has seen an increase in the applications of ARDL models in diverse economic contexts reflecting its adaptability and relevance. For instance, studies on the impact of exchange rate volatility on trade balances, inflation dynamics and the nexus between energy consumption and economic growth have all employed the ARDL framework to provide nuanced insights into these complex relationships (
The ARDL model is specified as follows:
Selecting the optimal lag length is essential for capturing the true dynamics of the variables without overfitting the model. The VAR Lag Order Selection Criteria including Akaike Information Criterion (AIC), Schwarz Criterion (SC), and Hannan-Quinn Criterion (HQ) are used to determine the appropriate lag structure for the ARDL model. Among these, the AIC is often preferred for its ability to balance model fit and complexity especially in small samples (
The long-run equation can be expressed as:
To ensure the validity of the ARDL model, various diagnostic tests are conducted to check for autocorrelation, heteroscedasticity and model stability. These tests are essential for verifying the reliability of the model’s estimates and ensuring that the results are not driven by violations of key econometric assumptions (
The visualizations provide a clear and concise summary of the data representing the dynamics of GDP Rate, CPI INF, A&F, GDP Per Capita, Imports, Total Debt Service, and Total Population over the study period. Figure
Figure
Statistic | GDP_RATE | GDP_PER_CAPITA | CPI_INF | A_F | IMPORTS | T_DEBT_S | T_POP |
Mean | 4.767 | 2.085 | 8.466 | 3.480 | 3.983 | 3.510 | 1.58×108 |
Median | 4.705 | 1.909 | 7.927 | 3.412 | 3.997 | 3.520 | 1.59×108 |
Maximum | 10.215 | 5.813 | 20.281 | 11.723 | 35.605 | 6.814 | 2.36×108 |
Minimum | -1.274 | -2.970 | 2.529 | -5.280 | -20.892 | 1.327 | 80624057 |
Std. Dev. | 2.221 | 2.003 | 4.086 | 3.235 | 10.811 | 1.517 | 47331810 |
Skewness | 0.141 | -0.195 | 0.844 | -0.075 | 0.586 | 0.222 | -0.612 |
Kurtosis | 3.258 | 2.762 | 3.935 | 4.541 | 3.910 | 2.137 | 1.709 |
Jarque-Bera | 0.262 | 0.376 | 6.873 | 4.278 | 3.950 | 1.687 | 2.985 |
Probability | 0.876 | 0.828 | 0.035 | 0.117 | 0.138 | 0.430 | 0.224 |
Sum | 205.020 | 89.669 | 364.059 | 149.672 | 171.291 | 150.972 | 6.79×109 |
Sum Sq. Dev. | 207.338 | 168.638 | 701.391 | 444.008 | 4909290 | 96.743 | 9.41×1016 |
Observations | 43 | 43 | 43 | 43 | 43 | 43 | 43 |
These data provide a comprehensive statistical summary of the chosen economic indicators across 43 observations. The GDP growth rate (GDP_RATE) averaged 4.77% with a relatively low standard deviation of 2.22, suggesting moderate variability around this mean. The GDP per capita (GDP_PER_CAPITA) had a mean of 2.09 and displayed slightly less variability, as indicated by its standard deviation of 2.00. The inflation rate (CPI_INF) exhibited a higher mean of 8.47% with significant volatility, evidenced by a standard deviation of 4.09. The A_F variable, possibly representing some financial measure, had a mean of 3.48 and higher variability (std. dev. of 3.24), with skewness slightly negative, indicating a longer tail on the left. Imports averaged 3.98, with a large standard deviation (10.81), reflecting substantial disparities among the data points. Total Debt as a Share of GDP (T_DEBT_S) averaged 3.51 with moderate variability (std. dev. 1.52), while Total Population (T_POP) exhibited an enormous mean of approximately 158 million with considerable variance. The skewness and kurtosis values for most variables suggest slight deviations from a normal distribution, with some variables exhibiting positive skewness and others negative. Overall, the dataset reflects diverse economic conditions with varying degrees of volatility across different indicators.
There is a statistically significant correlation between Agriculture & Foresting and the GDP growth rate in Pakistan, which indicates the pre-industrial nature of its economy, meaning that agricultural sectors majorly contribute to the national income. The population has a negative relationship with GDP growth due to its bidirectional nature, which cannot be described by this preliminary analysis. Imports are positively correlated with both GDP_PER_CAPITA (0.50) and GDP_RATE (0.33), i.e. countries with higher GDP and GDP per capita tend to import more.
GDP_RATE | GDP_PER_CAPITA | CPI_INF | A_F | IMPORTS | T_DEBT_S | T_POP | |
GDP_RATE | 1,00 | 0,92 | -0,18 | 0,42 | 0,33 | 0,04 | -0,44 |
GDP_PER_CAPITA | 0,92 | 1,00 | -0,20 | 0,34 | 0,50 | -0,20 | -0,07 |
CPI_INF | -0,18 | -0,20 | 1,00 | 0,05 | -0,13 | 0,11 | 0,12 |
A_F | 0,42 | 0,34 | 0,05 | 1,00 | 0,14 | 0,23 | -0,23 |
IMPORTS | 0,33 | 0,50 | -0,13 | 0,14 | 1,00 | -0,13 | 0,18 |
T_DEBT_S | 0,04 | -0,20 | 0,11 | 0,23 | -0,13 | 1,00 | -0,60 |
T_POP | -0,44 | -0,07 | 0,12 | -0,23 | 0,18 | -0,60 | 1,00 |
Total Debt as a Share of GDP (T_DEBT_S) has weak and mixed correlations with other variables, but a notable negative correlation with Total Population (T_POP) (-0.60), implying that higher debt ratios are somehow associated with lower population sizes. Total Population (T_POP) is negatively correlated with GDP_RATE (-0.44) and T_DEBT_S (-0.60), indicating that countries with larger populations might experience lower GDP growth and lower debt ratios.
At Level | At First Difference | |||
Variables | T- Statistics | Probability | T- Statistics | Probability |
GDP R. | -4.762164 | 0.0004 | ||
CPI INF | -5.191298 | 0.0001 | ||
T. Debt Service | -1.242154 | 0.6469 | -9.898890 | 0.0000 |
GDP PC. | -4.981139 | 0.0002 | ||
Imports | -5.150521 | 0.0001 | ||
Total POP. | 0.233749 | 0.9715 | -3.138339 | 0.0316 |
A&F | -8.359080 | 0.0000 |
The ADF unit root test confirms the stationarity of most variables. GDP rate, CPI inflation, GDP per capita, Imports, and Agriculture and Forestry showed significant stationarity. A&F demonstrates high significance with a t-statistic of 8.359080. Total Debt Service is non-stationary at level but becomes stationary at first difference. Total Population shows non-significant at level but became significant at first difference, suggesting stationarity post-differencing.
Lag | LogL | LR | FPE | AIC | SC | HQ |
0 | -1252.86 | NA | 5.37×1018 | 62.993 | 63.288 | 63.100 |
1 | -975.576 | 443.659 | 6.16×1013 | 51.578 | 53.943 | 52.433 |
2 | -881.60 | 117.469* | 8.19×1012* | 49.330* | 53.763* | 50.933 |
3 | -816.03 | 59.008 | 7.12×1012 | 48.501 | 55.003 | 50.852* |
To determine the most fitting lag with which macroeconomic variables can explain the constant term we use the VAR Lag Order Selection Criteria test, where endogenous variables are GDP_RATE, GDP_PER_CAPITA, CPI_INF, A_F, IMPORTS, T_DEBT_S, T_POP and the exogenous one is a constant C. Using AIC criteria, we reveal that the first-order lag provides the highest amount of information, but due to the variability in different test metrics, we use multiple lag criteria in the ARDL model.
Variable | Coefficient | Std. Error | t-Statistic | Prob.* |
GDP_RATE (-1) | 0.763586 | 0.059212 | 12.89576 | 0.0000 |
GDP_RATE (-2) | -0.062372 | 0.039780 | -1.567940 | 0.1318 |
GDP_RATE (-3) | -0.005771 | 0.004875 | -1.183749 | 0.2497 |
GDP_PER_CAPITA | 1.023864 | 0.005663 | 180.7978 | 0.0000 |
GDP_PER_CAPITA (-1) | -0.770842 | 0.062421 | -12.34900 | 0.0000 |
GDP_PER_CAPITA (-2) | 0.060694 | 0.039735 | 1.527476 | 0.1416 |
CPI_INF | 0.000405 | 0.002713 | 0.149193 | 0.8828 |
CPI_INF (-1) | -0.008096 | 0.003076 | -2.632159 | 0.0156 |
CPI_INF (-2) | 0.002881 | 0.002668 | 1.079946 | 0.2924 |
A_F | 0.008239 | 0.002621 | 3.143011 | 0.0049 |
IMPORTS | -0.004789 | 0.000967 | -4.951751 | 0.0001 |
T_DEBT_S | 0.000813 | 0.009817 | 0.082847 | 0.9348 |
T_DEBT_S (-1) | 0.009366 | 0.010483 | 0.893396 | 0.3818 |
T_DEBT_S (-2) | 0.008081 | 0.009913 | 0.815241 | 0.4241 |
T_DEBT_S (-3) | -0.024152 | 0.009876 | -2.445512 | 0.0234 |
T_POP | 5.96×107 | 3.00×108 | 19.81924 | 0.0000 |
T_POP (-1) | -1.09×106 | 6.88×108 | -15.85566 | 0.0000 |
T_POP (-2) | 4.90×107 | 4.75×108 | 10.32808 | 0.0000 |
C | 1.080960 | 0.226102 | 4.780859 | 0.0001 |
R-squared | 0.999796 | Mean dependent var | 4.508670 | |
Adjusted R-squared | 0.999621 | S. D. dependent var | 2.037466 | |
S.E of regression | 0.039651 | Akaike info criterion | -3.311738 | |
Sum squared resid | 0.033017 | Schwarz criterion | -2.509520 | |
Log-likelihood | 85.23476 | Hannan-Quinn criterion | -3.021681 | |
F-statistic | 5719.620 | Durbin-Watson stat | 2.165064 | |
Prob(F-statistic) | 0.000000 |
Next, we run ARDL regression on 40 observations with GDP_RATE being a dependent variable that is explained by 3 lags. We investigate the impact of macroeconomic factors on inflation by using the least squares method. The dependent variable is GDP growth rate (GDP_RATE), and the independent variables include imports (IMPORTS), GDP per capita (GDP_PER CAPITA), inflation rate (CPI_INF), population (T_POP), total debt service (T_DEBT_S), unemployment and Agriculture & Forestry. The regression analysis of GDP growth determinants shows that its lagged term (-1), A&F and total population have a marginal impact. The Agricultural sector (0.082) positively correlates with inflation, while imports (-0.048) show negative correlations. GDP growth rate with lag 1 (0.76) also positively affects present growth. Although the total population has a positive coefficient (8*10-6), it is almost zero but statistically significant. The model, with an R-squared of 0,99, suggests that almost all of the variation in GDP growth is explained by these variables. The significant F-statistic (5719, p = 0) indicates a robust overall model fit, with the Durbin-Watson statistic (2.165) showing no significant autocorrelation.
The ARDL model analysis reveals that the current GDP growth rate is significantly influenced by its lagged value from the previous period, with a strong positive coefficient of 0.76 (p < 0.0001), indicating persistent momentum in GDP growth. However, the influence of GDP growth rates from two and three periods ago is negligible, as their coefficients are negative at -0.06 and -0.0058 respectively, but statistically insignificant (p = 0.1318 and p = 0.2497). GDP per capita plays a critical role, exhibiting a substantial positive impact on GDP growth with a coefficient of 1.02 (p < 0.0001), although the first lag shows a significant negative impact with a coefficient of -0.77 (p < 0.0001), suggesting some adjustment or correction over time. Inflation (CPI_INF) has a mixed effect, with the first lag showing a significant negative impact (-0.0081, p = 0.0156), while the other lags are insignificant. The variable A_F contributes positively to GDP growth with a coefficient of 0.0082 (p = 0.0049), while Imports have a significant negative effect with a coefficient of -0.0048 (p < 0.0001). Total Debt as a Share of GDP (T_DEBT_S) has limited influence, with only the third lag showing a significant negative impact (-0.0242, p = 0.0234). Lastly, Total Population (T_POP) has a complex effect, with significant positive and negative impacts from different lags, such as 5.96e-07 (p < 0.0001) for the current period and -1.09e-06 (p < 0.0001) for the first lag, indicating dynamic population effects on GDP growth. The model fits the data exceptionally well, with an R-squared of 0.9998, and the F-statistic of 5719.620 confirms the model’s overall significance (p < 0.0001).
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
C | 1.080960 | 0.226102 | 4.780859 | 0.0001 |
GDP_RATE (-1) * | -0.304557 | 0.049991 | -6.092172 | 0.0000 |
GDP_PER_CAPITA (-1) | 0.313716 | 0.054977 | 5.706311 | 0.0000 |
CPI_INF (-1) | -0.004810 | 0.002645 | -1.818943 | 0.0832 |
A F** | 0.008239 | 0.002621 | 3.143011 | 0.0049 |
IMPORTS** | -0.004789 | 0.000967 | -4.951751 | 0.0001 |
T_DEBT_S (-1) | -0.005892 | 0.009731 | -0.605465 | 0.5514 |
T_POP (-1) | -4.41E-09 | 8.83E-10 | -4.993297 | 0.0001 |
D (GDP_RATE (-1)) | 0.068143 | 0.040692 | 1.674600 | 0.1088 |
D (GDP_RATE (-2)) | 0.005771 | 0.004875 | 1.183749 | 0.2497 |
D(GDP_PER_CAPITA) | 1.023864 | 0.005663 | 180.7978 | 0.0000 |
D (GDP_PER_CAPITA (-1)) | -0.060694 | 0.039735 | -1.527476 | 0.1416 |
D(CPI_INF) | 0.000405 | 0.002713 | 0.149193 | 0.8828 |
D (CPI_INF (-1)) | -0.002881 | 0.002668 | -1.079946 | 0.2924 |
D(T_DEBT_S) | 0.000813 | 0.009817 | 0.082847 | 0.9348 |
D (T_DEBT_S (-1)) | 0.016071 | 0.012383 | 1.297856 | 0.2084 |
D (T_DEBT_S (-2)) | 0.024152 | 0.009876 | 2.445512 | 0.0234 |
D(T_POP) | 5.96E-07 | 3.00E-08 | 19.81924 | 0.0000 |
D (T_POP (-1)) | -4.90E-07 | 4.75E-08 | -10.32808 | 0.0000 |
The constant term (C) has a coefficient of 1.081 with a p-value of 0.0001, showing a statistically significant positive baseline effect on the dependent variable. The lagged GDP growth rate (GDP_RATE (-1)) has a coefficient of -0.305 and a p-value of 0.0000, indicating a significant negative impact on the dependent variable. This suggests that an increase in GDP growth rate from the previous period is associated with a decrease in the dependent variable. In contrast, the lagged GDP per capita (GDP_PER_CAPITA (-1)) has a positive coefficient of 0.314 and a p-value of 0.0000, reflecting a strong and significant positive effect. This implies that a higher GDP per capita in the previous period leads to an increase in the dependent variable. The Consumer Price Index inflation (CPI_INF (-1)) has a coefficient of -0.0048 with a p-value of 0.0832, suggesting a weak negative effect that is only marginally significant at the 10% level. The variable ‘A F’ has a coefficient of 0.0082 and a p-value of 0.0049, indicating a significant positive effect on the dependent variable. Imports, with a coefficient of -0.0048 and a p-value of 0.0001, also have a significant negative impact, showing that increased imports are associated with a decrease in the dependent variable. The government debt-to-GDP ratio (T_DEBT_S (-1)) has a coefficient of -0.0059 and a p-value of 0.5514, indicating that it does not significantly affect the dependent variable. The lagged population (T_POP (-1)) shows a coefficient of -4.41E-09 with a p-value of 0.0001, reflecting a significant negative effect on the dependent variable. In the short run, the first differences (D) of GDP_RATE (-1) and GDP_RATE (-2) are not significant, with p-values of 0.1088 and 0.2497, respectively. However, the first difference of GDP_PER_CAPITA (D(GDP_PER_CAPITA)) has a coefficient of 1.024 and a p-value of 0.0000, indicating a highly significant positive effect. CPI_INF changes (D(CPI_INF)) and lagged CPI_INF changes (D (CPI_INF (-1))) are not significant, with p-values of 0.8828 and 0.2924, respectively. The changes in government debt (D(T_DEBT_S)) do not significantly affect the dependent variable (p-value of 0.9348), whereas the change in the government debt-to-GDP ratio from two periods ago (D (T_DEBT_S (-2))) has a coefficient of 0.0242 and a p-value of 0.0234, indicating a significant positive impact. Finally, population changes (D(T_POP)) show a substantial positive effect with a coefficient of 5.96E-07 and a p-value of 0.0000, while the lagged change in population (D (T_POP (-1))) has a significant negative effect with a coefficient of -4.90E-07 and a p-value of 0.0000.
Overall, the significant variables that impact the dependent variable in the long run include lagged GDP growth rate, GDP per capita, imports and population, while CPI inflation and government debt ratios have mixed and less consistent effects.
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
GDP_PER_CAPITA | 1.030074 | 0.041215 | 24.99252 | 0.0000 |
CPI_INF | -0.015795 | 0.008325 | -1.897359 | 0.0716 |
A F | 0.027052 | 0.009442 | 2.865172 | 0.0093 |
IMPORTS | -0.015725 | 0.004078 | -3.856003 | 0.0009 |
T_DEBT_S | -0.019345 | 0.032222 | -0.600365 | 0.5547 |
T POP | -1.45×108 | 1.10×1009 | -13.17583 | 0.0000 |
C | 3.549290 | 0.550620 | 6.445990 | 0.0000 |
In the ARDL model with a restricted constant and no trend, GDP_PER_CAPITA has a highly significant positive effect on the dependent variable, increasing it by approximately 1.03 units for each unit increase in GDP per capita. CPI_INF shows a marginally significant negative effect, suggesting that higher inflation slightly decreases the dependent variable. ‘A F’ has a significant positive impact, with each unit increase in ‘A F’ raising the dependent variable by 0.027 units. Imports also have a significant negative effect, decreasing the dependent variable by 0.0157 units for each unit increase in imports. The population variable (T_POP) significantly decreases the dependent variable by a very small amount for each unit increase in population. The government debt-to-GDP ratio (T_DEBT_S) is not significant, indicating that it does not meaningfully impact the dependent variable. The constant term is significant, providing a baseline level for the dependent variable.
Test Statistic | Value | Significance Level | I(0) | I(1) |
Asymptotic: n = 1000 | ||||
F-statistic | 12.96675 | 10% | 1.99 | 2.94 |
K | 6 | 5% | 2.27 | 3.28 |
2.5% | 2.55 | 3.61 | ||
1% | 2.88 | 3.99 | ||
Actual Sample Size | 40 | Finite Sample: n = 40 | ||
10% | 2.218 | 3.314 | ||
5% | 2.618 | 3.863 | ||
1% | 3.505 | 5.121 |
Next, we run ARDL Error Correction Regression with GDP growth as a dependent variable
Variable | Coefficient | Std. Error | t-Statistic | Prob. |
D(GDP_RATE(-1)) | 0.068143 | 0.026842 | 2.538653 | 0.0191 |
D(GDP_RATE(-2)) | 0.005771 | 0.003205 | 1.800303 | 0.0862 |
D(GDP_PER_CAPITA) | 1.023864 | 0.002930 | 349.4883 | 0.0000 |
D(GDP_PER_CAPITA(-1)) | -0.060694 | 0.027208 | -2.230754 | 0.0367 |
D(CPI_INF) | 0.000405 | 0.001830 | 0.221235 | 0.8270 |
D(CPI_INF(-1)) | -0.002881 | 0.001885 | -1.528511 | 0.1413 |
D(T_DEBT_S) | 0.000813 | 0.007030 | 0.115688 | 0.9090 |
D(T_DEBT_S(-1)) | 0.016071 | 0.008063 | 1.993023 | 0.0594 |
D(T_DEBT_S(-2)) | 0.024152 | 0.007327 | 3.296089 | 0.0034 |
D(T_POP) | 5.96×107 | 2.25×108 | 26.47154 | 0.0000 |
D(T_POP(-1)) | -4.90×107 | 2.82×108 | -17.38672 | 0.0000 |
CointEq(-1)* | -0.304557 | 0.025896 | -11.76061 | 0.0000 |
The Error Correction Model (ECM) results highlight both short-term dynamics and the long-term adjustment mechanism. The coefficient for the first lag of GDP growth rate, 0.068143, is statistically significant with a p-value of 0.0191, indicating a positive short-term impact on the dependent variable. In contrast, the coefficient for GDP growth rate from two periods ago is 0.005771 with a marginal p-value of 0.0862, suggesting a less significant but still positive effect. The coefficient for the change in GDP per capita is strikingly high at 1.023864, with an extremely low p-value of 0.0000, reflecting a strong and highly significant positive effect. However, the lagged change in GDP per capita has a coefficient of -0.060694 and is significant at the 5% level (p-value = 0.0367), indicating a negative adjustment in the short term. The CPI variables show minimal impact; the current change in CPI has a coefficient of 0.000405 (p-value = 0.8270), and the lagged CPI has a coefficient of -0.002881 (p-value = 0.1413), both of which are not statistically significant. The coefficients for total debt stock are mixed, with the first lagged change having a coefficient of 0.016071 and a p-value of 0.0594, while the second lagged change is significant with a coefficient of 0.024152 and a p-value of 0.0034. The population change coefficients are highly significant, with the current period showing a coefficient of 5.96E-07 (p-value = 0.0000) and the lagged change showing -4.90E-07 (p-value = 0.0000). Lastly, the cointegration term (CointEq(-1)) has a coefficient of -0.304557 and is highly significant (p-value = 0.0000), indicating a strong correction mechanism towards the long-term equilibrium.
There is no consistent relationship between variables as the variable fluctuates across the period.
The null hypothesis of JB test is that the distribution resembles normal and this is the case in our data: p-value of the test is 0,87, which means that the hypothesis cannot be rejected.
F-statistic | 1.100240 | Prob. F (3,18) | 0.3747 |
Obs* R-squared | 6.198326 | Prob. Chi-Square (3) | 0.1023 |
Breusch-Godfrey test reveals that there is no serial correlation in the data, given the F-test p-value of 0.37 and the null hypothesis rejection. Next, we conduct the heteroskedasticity Breusch-Pagan test that has proven there is statistically significant homoskedasticity in the data as the F-test has a p-value of 0.59.
F-statistic | 0.888989 | Prob. F (18,21) | 0.5962 |
Obs* R-squared | 17.29840 | Prob. Chi-Square (18) | 0.0.5027 |
Scaled Explained SS | 3.966643 |
The Breusch-Pagan test has proven that there is statistically significant homoskedasticity in the data as the F-test has a p-value of 0.59. To determine whether the constructed model is stable when changing the sample, we use CUMSUM test, which provides information on the insignificance of cumulative residuals. Insignificance has also been proven for the CUMSUM of squares. The main conclusion is that errors are not statistically significant
The correlogram of the squared residuals shows the autocorrelation (AC) and partial autocorrelation (PAC) values at various lags, alongside the Ljung-Box Q-statistic and its p-value. At most lags, the autocorrelation values are close to zero, with none being statistically significant, as indicated by the high p-values for the Q-statistic (ranging from 0.480 to 0.897). This suggests that there are no significant patterns or systematic relationships in the variance of the residuals over time, implying that the residuals are behaving independently. The lack of significant autocorrelation at multiple lags confirms the absence of heteroscedasticity or structural patterns in the residuals, indicating that the model is capturing the underlying data dynamics effectively without evident issues of non-constant variance.
AC | PAC | Q-stat | Prob |
1 | -0.108 | 0.4997 | 0.480 |
2 | 0,038 | 0,6069 | 0,738 |
3 | -0,033 | 0,6851 | 0,877 |
4 | -0,195 | 22487 | 0,69 |
5,00 | -0,117 | 25,153 | 0,774 |
6 | 0,109 | 31,067 | 0,795 |
7 | -0,072 | 34,668 | 0,839 |
8 | 0,046 | 41,966 | 0,839 |
9 | -0,035 | 42,583 | 0,894 |
10 | -0,183 | 60,478 | 0,811 |
11 | 0,024 | 62,511 | 0,856 |
13 | -0,005 | 71,066 | 0,897 |
14 | 0,047 | 86,265 | 0,854 |
15 | -0,144 | 10,474 | 0,789 |
16 | -0,202 | 13,223 | 0,656 |
17 | -0,056 | 13,299 | 0,716 |
18 | 0,054 | 13,314 | 0,773 |
19 | 0,069 | 14,003 | 0,784 |
20 | 0,006 | 15,968 | 0,719 |
The paper contributes to the existing research into the interplay between macroeconomic variables and economic growth in Pakistan, shedding light on previously underexplored areas. The results are contextualized within a broader body of research in the current section highlighting both consistencies and deviations from established studies, and discussing their implications for policy.
The analysis demonstrates that GDP growth in Pakistan is significantly influenced by several key macroeconomic factors, including GDP per capita, inflation (CPI), imports, and the Agriculture and Forestry (A&F) sector. These findings are in line with previous research, particularly the work of Mansoor and Bibi (2019) and
The study’s findings on inflation align with the conclusions drawn by
The positive impact of imports on GDP growth identified in this study is consistent with the findings of
In contrast to studies such as
The population growth significantly impacts economic growth, as revealed in the study, though its effects become evident only after first differencing. The empirical results support economic theories that posit population growth to be a driver of economic activity through increased labor supply and consumption, though these effects may unfold over time rather than manifest immediately. This observation is consistent with the literature that underscores the role of demographic shifts in shaping long-term economic growth trajectories, as suggested by
The pronounced significance of the Agriculture and Forestry sector in this study underscores its critical role within Pakistan’s economic landscape, supporting the argument that A&F sectors are essential for achieving sustainable economic development. The study highlights the need for incorporating sectoral analyses into broader macroeconomic models, given that the prevailing body of the existing literature mostly emphasizes trade-related and industrial variables. Such an approach is necessary to fully understand the dynamics of growth in an agrarian-based economy like Pakistan. Future research should continue to explore these interrelationships to provide a more comprehensive understanding of the drivers of economic growth.
This study offers important insights into the determinants of economic growth in Pakistan, focusing on the impact of key macroeconomic variables such as inflation, imports, GDP per capita, total debt service, population growth, and the Agriculture and Forestry (A&F) sector. Using the Autoregressive Distributed Lag (ARDL) model, the research finds that inflation and imports have a positive effect on GDP growth, while the impacts of debt service and population growth are more nuanced. The significant role of the A&F sector implies the need for targeted policies to harness its potential for driving economic development. The results support the findings of existing literature, particularly regarding the importance of trade openness and foreign investment, while also offering a brand-new perspective on the complexities surrounding debt service and population dynamics. The literature on the nexus between macroeconomic variables and economic growth in Pakistan reveals a complex interplay of factors, each exerting significant influence on the country’s economic trajectory. Studies such as those by