4.1. Descriptive Statistics
The descriptive statistics in Table 3, along with the correlation matrix in Table 4, provide insights into the central tendencies and variability of the study’s core constructs, highlighting their interconnected influence on food security outcomes in Sierra Leone. Among the dependent variables, the Food Production Index (FPI) records a mean of 70.49 and a standard deviation (SD) of 30.87, indicating significant variation in food production performance across the observed period. Disaggregated crop-level outputs also exhibit substantial variability; rice, the principal staple, has a mean of 766,752.9 tons and an SD of 408,104.6, reflecting high inter-annual fluctuations. Similarly, fruit, vegetable, maize, cassava, and cocoa outputs display wide dispersions, with cassava showing the greatest variability (SD = 125,698.5), suggesting its heightened sensitivity to both environmental and agronomic factors.
Among the independent variables, renewable energy use shows a mean of 48.23 and a relatively high SD of 25.12, pointing to considerable shifts in energy access or adoption over time. Air pollution, measured by carbon emissions per capita, averages 41.02 with moderate variability (SD = 3.49), while temperature change has a mean of 0.82 degrees Celsius and a low SD of 0.29, indicating gradual but consistent climatic variations throughout the period. Climate mitigation efforts, proxied by environmental expenditure or clean technology investment, reveal a mean of 27.86 and an SD of 13.84, reflecting inconsistent policy engagement. Technological inputs also demonstrate considerable heterogeneity, with fertilizer use averaging 6.11 kilograms per hectare (SD = 4.11), indicating low but uneven application, and pesticide use showing a higher mean of 227.65 and SD of 100.25, suggesting irregular usage. The Technological Advancement Index, constructed via principal component analysis, records a normalized mean close to zero and an SD of 1.81, capturing aggregate innovation levels. Furthermore, the mediation variable, institutional quality, has a mean of approximately 7.14e-09 and an SD of 1.92, reflecting variability in governance capacity and institutional effectiveness. These descriptive metrics underscore the complex and interrelated dynamics of technological change, environmental stressors, institutional conditions, and renewable energy adoption in shaping food production outcomes in a fragile context.
Table 3
Variables units of measurement, data sources, summary statistics results
Variables | Data source | Obs. | Mean | Std. Dev. | Min | Max |
|---|
Dependent variables | | | | | | |
|---|
Food production index | WDI | 34 | 70.494 | 30.867 | 29.200 | 130.560 |
Rice production in tons | FAOSTAT | 34 | 766752.9 | 408104.6 | 199134 | 1978905 |
Fruit production in tons | FAOSTAT | 34 | 216144.2 | 49476.32 | 152985 | 282814.1 |
Vegetable production in tons | FAOSTAT | 34 | 30420.89 | 16534.7 | 8100 | 80000 |
Maize production in tons | FAOSTAT | 34 | 26687.28 | 11649.21 | 3636 | 44000 |
Cassava production in tons | FAOSTAT | 34 | 1596921 | 1256985 | 182400 | 3810418 |
Cocoa production in tons | FAOSTAT | 34 | 17159.85 | 10858.95 | 5400 | 50150 |
Independent variables | | | | | | |
Renewable energy (% of total final energy consumption) | WDI | 34 | 48.23426 | 25.16116 | 6.090347 | 87.39964 |
Air pollution (micrograms per cubic meter) | WDI | 34 | 41.02414 | 3.487 | 34.42033 | 51.80617 |
Change in temperature (°c) | FOASTAT | 34 | 0.8238235 | 0.2954723 | 0.184 | 1.343 |
Climate mitigation | EPI | 34 | 27.85829 | 11.85368 | 3.215277 | 40.84271 |
Fertilizer use (kilograms per hectare of arable land) | WDI | 34 | 6.109105 | 4.113657 | 0.1859504 | 16.44104 |
Pesticides use in tons | FAOSTAT | 34 | 227.6462 | 100.2515 | 59.230 | 405.88 |
Technological advancement index | Authors construction | 34 | 8.82e-09 | 1.805971 | 1.687671 | 4.247467 |
Control Variables | | | | | | |
Arable land (% of land area) | WDI | 34 | 15.8974 | 6.988035 | 6.705459 | 23.41203 |
Rural population | WDI | 34 | 3563001 | 684642.5 | 2740329 | 4712505 |
GDP per capita (current US$) | WDI | 34 | 546.336 | 316.5026 | 143.7437 | 1146.416 |
Mediation Variable | | | | | | |
Institutional quality index | Authors construction | 28 | 7.14e-09 | 1.920614 | 4.727294 | 1.983487 |
| Note: WDI represents the World Development Indicators, FAOSTAT stands for the Food and Agriculture Organization Statistical Database, and EPI denotes the Environmental Performance Index. |
Table 4
Variables | (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) |
|---|
(1) FP | 1.000 | | | | | | | | | | |
(2) IQ | 0.879 | 1.000 | | | | | | | | | |
(3) RE | 0.740 | 0.569 | 1.000 | | | | | | | | |
(4) CT | 0.476 | 0.384 | 0.257 | 1.000 | | | | | | | |
(5) AP | -0.211 | 0.101 | 0.296 | 0.213 | 1.000 | | | | | | |
(6) CM | 0.568 | 0.728 | 0.214 | 0.528 | 0.013 | 1.000 | | | | | |
(7) FERT | 0.455 | 0.540 | 0.354 | 0.206 | 0.183 | 0.599 | 1.000 | | | | |
(8) PEST | 0.160 | 0.176 | 0.584 | 0.048 | 0.270 | 0.284 | -0.008 | 1.000 | | | |
(9) GDP | 0.930 | 0.830 | 0.712 | 0.464 | 0.223 | 0.560 | 0.504 | 0.175 | 1.000 | | |
(10) AL | 0.894 | 0.901 | 0.553 | 0.666 | 0.297 | 0.724 | 0.525 | 0.033 | 0.890 | 1.000 | |
(11) RP | 0.899 | 0.816 | 0.733 | 0.594 | 0.380 | -0.503 | 0.383 | 0.347 | 0.916 | 0.904 | 1.000 |
4.2. Preliminary analysis findings
As a preliminary step, unit root tests were conducted to ensure that all variables are stationary and suitable for ARDL and DYNARDL estimation. Table 5 reports the results of the Augmented Dickey-Fuller (ADF), Phillips-Perron (PP), and Zivot-Andrews (ZA) tests. These confirm that the dependent variable, food production, is stationary at first difference (I(1)), while none of the variables are integrated at the second difference (I(2)). Air pollution is the only variable found to be stationary at level (I(0)) across all three tests. In contrast, renewable energy, temperature change, climate mitigation, fertilizer use, pesticide use, arable land, rural population, and GDP per capita are stationary at first difference. Table 6 presents the lag length selection criteria, indicating lag 2 as optimal for both the ARDL and DYNARDL models. To assess long-run relationships among the variables, the Pesaran, Shin, and Smith (PSS) bounds testing procedure is applied [53]. As shown in Table 7, the computed F-statistic (5.273) and t-statistic (–4.383) exceed the upper critical bounds at the 5% significance level (3.772–4.176) and also surpass the critical values at the 1% and 10% levels. These findings are further supported by Kripfganz and Schneider [58] approximate p-values (p < 0.01), leading to the rejection of the null hypothesis of no cointegration. Overall, both the bounds test and approximate p-values confirm the existence of a long-run relationship between food production and the explanatory variables.
Table 5
Synopsis of stationarity test for unit root.
Variable | Dickey–Fuller test | Phillips–Perron test | Zivot-Andrew’s test | Break point |
|---|
Level | | | | |
Food production | -0.702 | -0.793 | -2.376 | 2012 |
Renewable energy | 0.564 | 0.291 | -3.520 | 1998 |
Air pollution | -3.745*** | -3.634*** | -4.819*** | 2011 |
Change in temperature | -2.728 | -2.507 | -5.369 | 2003 |
Climate mitigation | -1.712 | -1.959 | -2.762 | 2010 |
Fertilizer use | -2.913 | -2.992 | -3.221 | 2017 |
Pesticides use | -0.822 | -1.371 | -4.278 | 2003 |
Arable land | -0.525 | -0.743 | -3.739 | 2010 |
Rural population | 0.465 | 0.121 | -4.935 | 2012 |
GDP per capita | -0.893 | -0.841 | -2.878 | 2014 |
1st Difference | | | | |
Food production | -5.619*** | -5.616*** | -5.169*** | 2004 |
Renewable energy | -5.360*** | -5.425*** | -5.133*** | 2013 |
Air pollution | -6.695*** | -7.353*** | -6.900*** | 1998 |
Change in temperature | -9.206*** | -10.917*** | -9.458*** | 1996 |
Climate mitigation | -5.572*** | -5.576*** | -5.014*** | 2006 |
Fertilizer use | -6.444*** | -6.488*** | -4.624*** | 1997 |
Pesticides use | -4.169*** | -4.279*** | -3.961*** | 2017 |
Arable land | -4.262*** | -4.364*** | -4.488*** | 2002 |
Rural population | -2.640** | -2.763** | -4.392** | 2002 |
GDP per capita | -6.023*** | -6.009*** | -5.529*** | 2002 |
Table 6
Result of the Lag-order selection criteria
Lag-order | LL | LR | df | P-values | FPE | AIC | HQIC | SBIC |
|---|
0 | 54.5964 | | | | 4.5e-14 | -2.34718 | -2.19385 | -1.91624 |
1 | 360.656 | 612.12 | 100 | 0.000 | 1.0e-18 | -13.1924 | -11.5058 | -8.45204 |
2 | 566.113 | 410.91* | 100 | 0.000 | 1.4e-20* | -18.7428* | -15.5229* | -9.69297* |
Number of obs. = 34 | | | | | | |
| Note: that * represent the lag order selection criteria |
Table 7
Pesaran, Shin, and Smith (2001) PSS bounds test
K | 10% | 5% | 1% | P-value |
|---|
| | I (0) | I (1) | I (0) | I (1) | I (0) | I (1) | I (0) | I (1) |
F = 5.273 | 1.896 | 3.216 | 2.273 | 3.772 | 3.194 | 5.120 | 0.009*** | 0.003*** |
t = -4.383 | -1.609 | -4.113 | -1.979 | -4.176 | -2.722 | -3.526 | 0.000*** | 0.006*** |
4.3. Autoregressive distribution lag and Dynamic Autoregressive distribution lag model estimation
The long run and short run estimation results from both the ARDL and dynamic ARDL (DYNARDL) simulation models reveal several important relationships between key variables and food production in Sierra Leone, as summarized in Table 8. Renewable energy consumption has a positive and statistically significant effect on food output. Specifically, a 1% increase in renewable energy use is associated with a 0.381% increase in food production in the ARDL model and a 0.108% increase in the DYNARDL simulation, supporting H1. Although the magnitude differs between models, likely due to their distinct treatment of dynamic adjustments, the consistent significance and direction underscore the role of renewable energy in enhancing agricultural productivity. Access to clean energy supports irrigation, mechanization, postharvest storage, and agro-processing, particularly in rural areas with limited infrastructure. This reduces reliance on fossil fuels and promotes sustainable agricultural systems. These findings are consistent with He, Osabohien [35], who found that renewable energy enhances agricultural output by lowering production costs and increasing input efficiency, and Burney, Woltering [34], who emphasized its role in improving rural productivity.
Air pollution, in contrast, has a negative and statistically significant long run effect on food production. A 1% rise in pollution results in a 0.625% and 0.215% decrease in food output in the ARDL and DYNARDL models, respectively, supporting H2. This finding aligns with studies that link air pollution, through carbon emissions and particulate matter, to soil degradation, impaired photosynthesis, and climatic stress [59]. The increased vulnerability of traditional and low input farming systems to these stressors underscores the urgent need for clean technologies and stronger environmental regulation to protect food security.
Similarly, temperature variability negatively affects food production. A 1% increase in temperature volatility reduces output by 0.053% in the ARDL model and 0.055% in the DYNARDL model. These findings support H2 and are consistent with Subedi, Poudel [60] and Alimagham, van Loon [6], who show that rising temperatures reduce yields by shortening growing seasons, intensifying drought risk, and promoting the spread of pests and diseases. This impact is especially severe in rainfed agricultural systems like those in Sierra Leone. The results emphasize the importance of climate resilient strategies, such as the adoption of drought tolerant crop varieties, precision agriculture, and early warning systems.
Climate mitigation efforts, measured through indicators such as afforestation and adoption of clean technologies, have a positive and statistically significant effect on food production. A 1% increase in climate mitigation is associated with a 0.068% and 0.041% rise in food output in the ARDL and DYNARDL models, respectively. This finding supports the view that environmental sustainability enhances agricultural resilience and productivity [13, 61, 62]. Mitigation activities improve ecological stability, reduce climate related shocks, and promote soil health, thereby creating favorable conditions for long term productivity.
Technological advancement, measured through fertilizer and pesticide use, is generally positively associated with food production, supporting H3. A 1% increase in fertilizer application raises output by 0.041% in the ARDL model and 0.012% in the DYNARDL model, both statistically significant. This aligns with findings by Oyetunji, Bolan [63] and Chandio, Gokmenoglu [17], which highlight the role of nutrient management in improving yields. Pesticide use, however, shows a positive but statistically insignificant effect, possibly due to variability in usage, improper application, or resistance development. Ahmad, Ahmad [64] note that while pesticides can protect yields, their benefits depend heavily on proper application and integrated pest management.
Arable land availability also has a strong positive and significant effect on food production. A 1% increase in arable land corresponds to a 0.706% and 0.349% rise in output in the ARDL and DYNARDL models, respectively. This confirms the central role of land in agrarian economies like Sierra Leone. However, expanding cultivation must be managed carefully to avoid deforestation and biodiversity loss. Zhou, Chen [65] warn of the risks posed by unregulated land expansion. Therefore, land tenure reform, sustainable intensification, and soil conservation practices are critical to achieving sustainable productivity gains.
Rural population is also positively associated with food production. A 1% increase in rural population results in a 0.136% and 0.064% increase in output in the ARDL and DYNARDL models, respectively. This reflects the labor-intensive nature of smallholder agriculture in Sierra Leone. Li, Wang [66] argue that rural population growth, if supported by investments in infrastructure, training, and services, can boost agricultural productivity. However, this must be managed carefully to avoid putting pressure on limited natural resources.
Economic growth, measured by GDP per capita, contributes positively to food production. A 1% increase in GDP per capita leads to a 0.074% and 0.094% rise in food output in the ARDL and DYNARDL models, respectively. This supports findings by Dethier and Effenberger [67], who show that income growth facilitates access to better technology, education, and credit. However, the relatively moderate effect indicates that growth alone is not enough. Complementary investments in agriculture and rural development are essential for turning macroeconomic gains into improved food security.
The error correction term is negative and statistically significant at the 5% level, confirming the presence of a stable long run relationship among the variables. The coefficient indicates that approximately 25% of deviations from the long run equilibrium are corrected each year, suggesting that full adjustment occurs over four years. The R-squared values of 0.7390 and 0.7865 in the ARDL and DYNARDL models, respectively, show that the models explain 73.9% and 78.7% of the variation in food production. These high explanatory powers confirm the robustness of the models and the importance of environmental, technological, and socioeconomic factors in determining food production outcomes in Sierra Leone.
Table 8
Regression results from the ARDL and DYNARDL simulation.
Variable | Autoregressive distribution lag (ARDL) | Dynamic Autoregressive distribution lag (DYNARDL) |
|---|
| | Coeff. | Std. E. | t > z | P > z | Coeff. | Std. E. | t > z | P > z |
\(\:\text{E}\text{C}\text{T}-1\) | -0.525 | 0.119 | -4.38 | 0.000 | -0.345 | 0.161 | -2.14 | 0.041 |
Long-run |
Renewable energy | 0.381 | 0.051 | 1.08 | 0.001 | 0.108 | 0.034 | 0.42 | 0.000 |
Air pollution | -0.625 | 0.016 | -1.50 | 0.008 | -0.215 | 0.066 | -0.81 | 0.006 |
Change in temperature | -0.053 | 0.012 | -0.50 | 0.035 | -0.055 | 0.016 | -0.46 | 0.016 |
Climate mitigation | 0.068 | 0.008 | 0.16 | 0.009 | 0.041 | 0.007 | 0.36 | 0.008 |
Fertilizer use | 0.041 | 0.007 | 1.06 | 0.017 | 0.012 | 0.001 | 0.59 | 0.033 |
Pesticides use | 0.030 | 0.109 | 0.28 | 0.783 | 0.098 | 0.072 | 1.37 | 0.182 |
Arable land | 0.706 | 0.229 | 3.06 | 0.005 | 0.349 | 0.183 | 1.91 | 0.067 |
Rural population | 0.136 | 0.042 | 0.95 | 0.017 | 0.064 | 0.036 | 0.84 | 0.049 |
GDP per capita | 0.074 | 0.006 | 0.49 | 0.003 | 0.094 | 0.012 | 0.12 | 0.000 |
Short-run |
Renewable energy | 0.200 | 0.094 | 1.03 | 0.043 | 0.371 | 0.089 | 1.76 | 0.000 |
Air pollution | -0.328 | 0.113 | -1.43 | 0.065 | -0.456 | 0.121 | -1.45 | 0.000 |
Change in temperature | -0.028 | 0.056 | -0.49 | 0.627 | -0.052 | 0.016 | -0.21 | 0.005 |
Climate mitigation | 0.063 | 0.034 | 0.16 | 0.033 | 0.146 | 0.006 | 0.51 | 0.004 |
Fertilizer use | 0.022 | 0.009 | 1.07 | 0.015 | 0.045 | 0.018 | 0.32 | 0.000 |
Pesticides use | 0.016 | 0.058 | 0.27 | 0.788 | 0.264 | 0.161 | 1.63 | 0.114 |
Arable land | 0.370 | 0.157 | 2.35 | 0.026 | 0.703 | 0.245 | 2.88 | 0.008 |
Rural population | 0.072 | 0.015 | 0.96 | 0.008 | 0.884 | 0.044 | 0.45 | 0.000 |
GDP per capita | 0.038 | 0.011 | 0.50 | 0.007 | 0.041 | 0.013 | 0.49 | 0.026 |
Number of obs. = 34 | | | Number of obs. = 34 |
R-squared = 0.7390 | | | R-squared = 0.7865 |
Adj R-squared = 0.6743 | Adj R-squared = 0.6414 |
Root MSE = 0.1023 | Root MSE = 0.0993 |
Log likelihood = 38.530252 | |
4.4. Diagnostic and stability tests
The diagnostic results of the ARDL model, as presented in Table 9, provide strong support for the validity and robustness of the estimated parameters. To assess the presence of serial correlation in the residuals, the Breusch-Godfrey LM test was applied. The test fails to reject the null hypothesis of no serial correlation at the 5% significance level, indicating that the residuals are free from autocorrelation and that the model does not suffer from misspecification in this regard. To examine the presence of heteroscedasticity, Cameron and Trivedi’s decomposition of the Information Matrix (IM) test was employed. The test results indicate that the null hypothesis of homoscedasticity cannot be rejected, as the p-value exceeds the 5% threshold. This suggests that the variance of the residuals is constant, satisfying the assumption of homoscedasticity and affirming the reliability of the estimated standard errors. Normality of the residuals was tested using the Skewness/Kurtosis test for normality. The test fails to reject the null hypothesis of normal distribution at the 5% significance level, implying that the residuals are approximately normally distributed. This is further validated visually through the standardized normal probability plot (Fig. 4) and the quantile-quantile (Q-Q) plot comparing the residuals’ quantiles to those of a normal distribution (Fig. 5). Both graphical analyses suggest that the residuals closely follow a normal distribution, reinforcing the findings of the formal statistical test.
Additionally, the stability of the model parameters over time was examined using the cumulative sum (CUSUM) of recursive residuals (Fig. 6). The CUSUM test statistic remains within the 95% confidence bands throughout the sample period, indicating parameter stability and the absence of structural breaks. This is a critical validation for time series models, particularly when the analysis extends over a long historical period or is subject to potential regime changes. These diagnostic tests confirm that the ARDL model meets key classical assumptions, including no autocorrelation, homoscedasticity, normality of residuals, and parameter stability. These findings enhance the credibility of the estimated relationships and ensure that the inference drawn from the model is statistically sound. The use of these standard diagnostic procedures aligns with best practices in empirical research and has been widely adopted in similar studies for validating model reliability and robustness.
Table 9
A. Breusch–Godfrey LM test for autocorrelation | | |
|---|
lags(p) | F | Df | Prob > F |
|---|
1 | 12.750 | (1,33) | 0.1311 |
2 | 6.682 | (2,32) | 0.0738 |
3 | 4.532 | (3,31) | 0.1095 |
4 | 3.728 | (4,30) | 0.1514 |
B. Cameron & Trivedi's decomposition of IM-test | | |
Source | Chi2 | df | P-value |
Heteroskedasticity | 44.00 | 43 | 0.4290 |
Skewness | 2.90 | 9 | 0.9679 |
Kurtosis | 1.37 | 1 | 0.2418 |
Total | 48.28 | 53 | 0.6584 |
C. Skewness and kurtosis tests for normality | | ----- Joint test ----- |
Variable | Obs. | Pr(skewness) | Pr(kurtosis) | Adj chi2(2 | Prob > chi2 |
res1 | 44 | 0.4071 | 0.1930 | 2.53 | 0.2819 |
4.5. Novel dynamic ARDL simulations
To examine the dynamic and asymmetric effects of key variables on food production, this study employs the DYNARDL simulation model. This technique models the response of food output to 10% positive and negative shocks in variables such as renewable energy use, air pollution, temperature variations, climate mitigation efforts, and the application of fertilizers and pesticides. Predicted responses are illustrated using dark blue dots, while confidence intervals are represented by green and light blue bands. Each simulation isolates a single explanatory variable, holding all others at their mean values, thereby providing a clear interpretation of its independent effect. The framework captures both short- and long-term adjustments, offering insights into the persistence and magnitude of impacts that inform data-driven policy formulation.
Figure 7 presents the projected response of food production to changes in renewable energy consumption over a 20-period horizon. The left panel simulates a 10% increase, while the right reflects a corresponding decrease. A positive shock leads to a gradual and sustained increase in food output, plateauing at approximately a 40% cumulative gain by the tenth period. This trajectory underscores the role of renewable energy in supporting agricultural systems through improved mechanization, irrigation, and post-harvest processing. Conversely, reduced access to renewable energy induces a sharp and persistent decline of similar magnitude, highlighting the sector’s vulnerability to energy shortfalls. The contrasting outcomes reinforce the critical need for sustained investments in clean energy to enhance food system resilience, especially in energy-insecure contexts such as Sierra Leone.
Figure 8 shifts focus to air pollution and its detrimental effects on agricultural output. A 10% increase in pollution results in a rapid and sustained contraction in food production, stabilizing near a 6% decline. This likely reflects the compounded effects of environmental degradation, including diminished soil quality and increased toxicity. In contrast, a 10% decrease in pollution produces a more modest but consistent improvement in output, with gains exceeding 4%. The asymmetry between these responses suggests that while pollution reduction yields benefit, the damage from increased emissions is more severe and enduring. These findings support the need for stronger environmental governance to ensure agricultural sustainability.
Figure 9 explores the effects of temperature variation. A positive deviation causes a continual decline in food production, stabilizing after eight periods. This reflects the adverse impact of excessive heat on crop performance, including heightened evapotranspiration and reduced soil moisture. In contrast, cooler conditions lead to a rise in output, peaking midway through the projection horizon and remaining above baseline levels. The asymmetry between warming and cooling responses highlights that the losses from heat stress outweigh the benefits of moderate cooling. This underscores the need for climate adaptation strategies such as drought-resistant crop varieties and efficient water management to mitigate the sector’s vulnerability to temperature fluctuations.
Figure 10 assesses the implications of climate mitigation policies. Enhanced mitigation efforts are associated with sustained improvements in food production, with effects stabilizing after ten periods. The narrowing confidence intervals over time suggest growing certainty in this upward trend. In contrast, a reduction in mitigation efforts leads to a significant and prolonged decline in output. These findings reveal a clear asymmetry: while proactive climate action produces lasting benefits, policy reversals impose enduring costs. This highlights the strategic importance of maintaining long-term commitments to climate mitigation in order to support agricultural productivity.
Figure 11 evaluates the role of fertilizer application. A 10% increase results in a steady rise in food production, reflecting improved soil fertility and crop yields. The response stabilizes over time, with the narrowing confidence intervals indicating increasing reliability of the projections. Conversely, a decrease in fertilizer use leads to only a modest and short-lived decline, which flattens quickly. This weaker response may reflect already low baseline input levels, limiting the marginal impact of further reductions. The findings emphasize the potential for expanded input use to enhance productivity, particularly in under-resourced agricultural systems.
Lastly, Fig. 12 examines the effects of pesticide use. Increased application yields a strong and sustained rise in food output, reaching a steady state after several periods. This suggests that effective pest control is crucial to maintaining yields, especially in high pest-pressure environments. In contrast, reduced pesticide uses results in a rapid and prolonged decline in food production, stabilizing at a substantially lower level. The pronounced asymmetry underscores the importance of consistent pest management. In regions like Sierra Leone, ensuring access to safe and affordable pesticide solutions is essential for yield protection and food security. These simulations reveal the distinct and often asymmetric effects of key policy and environmental variables on agricultural performance. They underscore the importance of targeted interventions in energy access, environmental protection, climate adaptation, and input availability to enhance resilience and productivity within the food sector.
4.6. Kernel-based regularized least squares
To assess the causal impact of the explanatory variables on food production, pointwise derivatives were calculated using Kernel Regularized Least Squares (KRLS), as presented in Table 10. The model demonstrates a high level of predictive accuracy, with an R-squared value of 0.9913. This indicates that the selected variables collectively explain approximately 99.13% of the variation in food production, reflecting strong model performance and the relevance of the chosen predictors. The mean marginal effects highlight the average influence of each variable on food production. Specifically, renewable energy use (0.846%), pesticide application (0.084%), arable land (0.127%), rural population (0.363%), and fertilizer use (0.040%) exhibit positive and relatively strong marginal effects, underscoring their importance in enhancing agricultural output. In contrast, air pollution (–0.043%) and temperature change (–0.034%) display negative marginal impacts, suggesting that environmental stressors adversely affect productivity. Climate change mitigation has a modest but positive effect (0.029%), while GDP per capita shows a negligible marginal impact (0.016%). At the 1% significance level, all variables except GDP per capita are statistically significant, indicating that the remaining predictors have meaningful effects on food production within the context of the model. These findings emphasize the importance of environmental quality, energy access, and agricultural inputs in shaping food production outcomes, while suggesting that broader economic indicators like GDP per capita may have limited direct influence in this specific context.
Additionally, Fig. 13 presents a series of LOWESS smoothed plots that illustrate the nonlinear relationships between food production and six key explanatory variables: renewable energy use, air pollution, temperature change, climate change mitigation, fertilizer application, and pesticide application. These visualizations provide valuable insights into the direction and shape of each relationship across the observed range of food production, revealing the complexity of interactions between environmental and agricultural factors. For instance, the relationship between renewable energy use and food production follows an inverted U-shape. This indicates that while initial increases in renewable energy adoption are associated with higher agricultural output, further expansion beyond a certain threshold may result in diminishing or even negative returns, possibly due to inefficiencies or resource constraints arising at higher levels of energy integration.
Similarly, air pollution shows a generally negative association with food production, suggesting that elevated pollution levels undermine crop productivity. This observation is consistent with existing research on the harmful effects of air pollutants on soil quality and plant health. In contrast, the impact of temperature change appears relatively flat and nonlinear, indicating that its influence on food production is weak or inconsistent across the dataset. Climate change mitigation, on the other hand, displays a positive association with food production, especially at higher levels of implementation. This suggests that investments in environmental protection and sustainable practices can bolster agricultural resilience and productivity. Fertilizer application exhibits a concave pattern, with food production increasing at moderate application levels but plateauing thereafter, implying diminishing returns from excessive input use. A similar trend is evident for pesticide application: while moderate usage enhances productivity, overuse corresponds with stagnation or decline, likely due to ecological degradation or pest resistance. These findings underscore the nonlinear and context-dependent nature of the relationships between key environmental variables and food production. They highlight the necessity for carefully calibrated, evidence-based policy interventions that promote agricultural efficiency while safeguarding environmental integrity.
Table 10
Kernel Regularized Least Squares results
Variables | Avg. | SE | t | p>|t| | P25 | P50 | P75 |
|---|
Renewable energy | 0.846 | 0.123 | 6.880 | 0.000 | 1.348 | 0.616 | 0.446 |
Air pollution | -0.043 | 0.012 | -0.344 | 0.003 | -0.621 | 0.141 | 0.550 |
Change in temperature | -0.034 | 0.020 | -0.697 | 0.041 | -0.048 | 0.017 | 0.078 |
Climate mitigation | 0.029 | 0.010 | 2.805 | 0.008 | -0.005 | 0.002 | 0.059 |
Fertilizer use | 0.040 | 0.009 | 4.381 | 0.000 | -0.002 | 0.049 | 0.088 |
Pesticides use | 0.084 | 0.018 | 4.431 | 0.000 | -0.033 | 0.157 | 0.257 |
Arable land | 0.127 | 0.015 | 8.210 | 0.000 | 0.044 | 0.059 | 0.163 |
Rural population | 0.363 | 0.054 | 6.741 | 0.000 | 0.158 | 0.477 | 0.563 |
GDP per capita | 0.016 | 0.018 | 0.867 | 0.392 | -0.045 | 0.009 | 0.061 |
Diagnostics | | | | | | | |
Lambda | 0.05979 | Sigma | 9 | R2 | 0.9913 | Obs. | 34 |
Tolerance | 0.042 | Eff. df | 24.91 | Looloss | 1.319 | | |
4.7. Robustness and moderating effects analysis
To enhance the robustness of the analysis, this study incorporates six additional dependent variables that reflect the multidimensional nature of food security beyond aggregate food production. Specifically, rice, vegetable, maize, cocoa, cassava, and fruit production are included due to their economic and nutritional significance in Sierra Leone. The Fully Modified Ordinary Least Squares (FMOLS) estimator is employed to address endogeneity and serial correlation, ensuring efficient and unbiased parameter estimates. As presented in Table 11, the results indicate that renewable energy use and climate mitigation have positive and statistically significant effects on overall food production, as well as on rice, vegetable, cassava, and fruit production. For maize and cocoa, the effects are positive but statistically insignificant. In contrast, air pollution and temperature variability exhibit negative and significant effects across all food categories, suggesting that environmental degradation hampers agricultural output through soil deterioration and climatic stress.
Technological inputs produce mixed results. Fertilizer use has a positive and significant effect on food, rice, vegetable, maize, and cocoa production but shows a negative and significant effect on fruit production, and a negative yet insignificant effect on cassava. Pesticide use positively and significantly influences vegetable, cocoa, and fruit production, while its effect is positive but insignificant for overall food and maize production, and negative and insignificant for rice and cassava. These results are consistent with the ARDL and DYNARDL simulation outcomes in Table 8, reinforcing the observed relationships. The findings highlight the importance of renewable energy and climate mitigation strategies in enhancing food security, while emphasizing the need for more targeted and sustainable application of agricultural inputs across different crop systems.
Table 12 presents the moderating effects of institutional quality on the production of major staple foods. The interaction terms between air pollution and institutional quality, as well as between climate mitigation and institutional quality, are positive and statistically significant for food, rice, and cassava production. These results suggest that stronger institutional frameworks enhance the effectiveness of environmental and climate-related interventions in improving agricultural productivity. Conversely, the interaction between temperature variability and institutional quality is negative and significant across the same food categories, indicating that even strong institutions may not fully offset the adverse effects of climatic fluctuations. These findings underscore the critical role of institutional capacity in shaping agricultural outcomes and reveal the continued vulnerability of food systems to environmental stressors.
Table 11
Variables | Food production | Rice production | Vegetable production | Maize production | Cocoa production | Cassava production | Fruit production |
|---|
Renewable energy | 0.559*** | 0.344*** | 0.405*** | 0.408NS | 0.481NS | 1.281*** | 0.052** |
| | (0.124) | (0.047) | (0.060) | (0.498) | (0.555) | (0.453) | (0.022) |
Air pollution | -0.623*** | -1.317** | -0.193*** | -0.784 | -1.882** | 0.032NS | -0.031NS |
| | (0.204) | (0.554) | (0.054) | (0.678) | (0.757) | (0.616) | (0.012) |
Change in temperature | -0.129** | -0.180NS | -0.049NS | -0.109NS | -0.421** | -0.174*** | -0.028*** |
| | (0.062) | (0.126) | (0.081) | (0.155) | (0.173) | (0.041) | (0.009) |
Climate mitigation | 0.057*** | 0.029NS | 0.172*** | 0.058NS | 0.011NS | 0.163*** | 0.022*** |
| | (0.021) | (0.092) | (0.059) | (0.113) | (0.126) | (0.034) | (0.007) |
Fertilizer use | 0.044** | 0.128** | 0.178*** | 0.359*** | 0.057*** | -0.023NS | -0.009** |
| | (0.010) | (0.055) | (0.035) | (0.066) | (0.015) | (0.061) | (0.004) |
Pesticides use | 0.055NS | -0.064NS | 0.364* | 0.185NS | 0.657* | -0.388NS | 0.044* |
| | (0.153) | (0.279) | (0.178) | (0.341) | (0.381) | (0.310) | (0.022) |
Control variables | Yes | Yes | Yes | Yes | Yes | Yes | Yes |
R-squared | 0.937 | 0.853 | 0.893 | 0.789 | 0.552 | 0.925 | 0.993 |
Adjusted R-squared | 0.912 | 0.796 | 0.851 | 0.708 | 0.377 | 0.895 | 0.989 |
Observations | 34 | 34 | 34 | 34 | 34 | 34 | 34 |
| Notes: NS refer to not significant, ***, **, * represent 1%, 5% and 10% significance level |
Table 12
Moderating effect of institutional quality and environmental degradation on staple food in Sierra Leone
Food Production |
|---|
Variables | Model-1 | Model-2 | Model-3 | Model-4 | Model-5 | Model-6 |
Air pollution*IQ | 0.065*** | | | 0.021*** | | |
| | (0.011) | | | (0.006) | | |
Change in temperature*IQ | | -0.607*** | | | -0.131** | |
| | | (0.184) | | | (0.057) | |
Climate mitigation*IQ | | | 0.069*** | | | 0.022*** |
| | | | (0.013) | | | (0.006) |
Control variables | No | No | No | Yes | Yes | Yes |
Constant | 4.166*** | 4.267*** | 4.206*** | 2.860*** | 2.285*** | 2.007*** |
| | (0.075) | (0.118) | (0.077) | (0.174) | (0.041) | (0.082) |
R-squared | 0.667 | 0.272 | 0.649 | 0.937 | 0.910 | 0.937 |
Adjusted R-squared | 0.656 | 0.248 | 0.638 | 0.928 | 0.898 | 0.928 |
Rice Production |
| | Model-1 | Model-2 | Model-3 | Model-4 | Model-5 | Model-6 |
Air pollution*IQ | 0.079*** | | | 0.038*** | | |
| | (0.011) | | | (0.009) | | |
Change in temperature*IQ | | -0.743*** | | | -0.296*** | |
| | | (0.207) | | | (0.083) | |
Climate mitigation*IQ | | | 0.086*** | | | 0.041*** |
| | | | (0.012) | | | (0,009) |
Control variables | No | No | No | Yes | Yes | Yes |
Constant | 13.413*** | 13.537*** | 13.463*** | 11.625*** | 10.251** | 9.170*** |
| | (0.074) | (0.133) | (0.072) | (0.419) | (6.358) | (0.804) |
R-squared | 0.685 | 0.291 | 0.689 | 0.866 | 0.823 | 0.874 |
Adjusted R-squared | 0.675 | 0.268 | 0.679 | 0.847 | 0.798 | 0.856 |
Cassava Production |
| | Model-1 | Model-2 | Model-3 | Model-4 | Model-5 | Model-6 |
Air pollution*IQ | 0.125*** | | | 0.038*** | | |
| | (0.034) | | | (0.014) | | |
Change in temperature*IQ | | -1.214*** | | | 0.037 | |
| | | (0.441) | | | (0.131) | |
Climate mitigation*IQ | | | 0.131*** | | | 0.018** |
| | | | (0.037) | | | (0.005) |
Control variables | No | No | No | Yes | Yes | Yes |
Constant | 13.854*** | 14.061*** | 13.929*** | 41.480*** | 38.301*** | 40.133*** |
| | (0.216) | (0.283) | (0.224) | (13.774) | (14.833) | (14.129) |
R-squared | 0.471 | 0.215 | 0.436 | 0.908 | 0.909 | 0.908 |
Adjusted R-squared | 0.454 | 0.190 | 0.417 | 0.895 | 0.897 | 0.895 |
| Notes: IQ denotes Institutional Quality, ***, **, * represent 1%, 5% and 10% significance level |
4.8. Mechanism analysis
To better understand how renewable energy adoption and technological advancement influence food security in Sierra Leone, a mediation analysis was conducted using the FMOLS estimation technique. FMOLS is appropriate in this context as it addresses endogeneity and serial correlation, producing reliable long run estimates in cointegrated systems. Following the frameworks of previous studies [68, 69], the analysis was conducted in two stages. The first stage examines whether renewable energy use and technological advancement significantly affect institutional quality, proposed as the mediating channel. Institutional quality, defined by regulatory effectiveness, government accountability, and the rule of law, plays a key role in enabling effective policy implementation, resource management, and public service delivery. These institutional capabilities are critical for transforming energy and technological investments into improved agricultural productivity and food access.
If renewable energy and technological advancement significantly enhance institutional quality, this supports the hypothesis that institutional improvements help transmit the benefits of these interventions to food security outcomes. The second stage evaluates whether institutional quality significantly influences food security when energy and technology are controlled. If institutional quality remains significant and simultaneously reduces the direct effects of the independent variables, this provides evidence of mediation. This approach clarifies how institutional dynamics contribute to the broader impacts of development interventions. In Sierra Leone, where institutions are often weak and resources constrained, identifying this mediation mechanism is essential for formulating effective and integrated food security strategies.
The results of the initial mediation analysis, presented in Table 13, indicate that both renewable energy adoption and technological advancement have a positive and statistically significant effect on institutional quality, supporting the hypothesized mediating relationship. These effects hold with and without the inclusion of control variables, suggesting the robustness of the results. Specifically, a one unit increase in renewable energy adoption is associated with a 0.542% increase in institutional quality without control variables, and a 0.233% increase when controls are included, confirming H4. Similarly, technological advancement leads to a 0.308% increase in institutional quality without controls, and 0.075% with controls, supporting H5. These results suggest that investments in renewable energy and technological innovation contribute to institutional development by strengthening governance, regulatory capacity, and service delivery systems. Although the effect sizes decline when controls are included, their continued significance highlights the role of energy and technology as drivers of institutional improvement. This evidence forms a strong basis for investigating the mediating role of institutional quality in shaping food security outcomes.
To further explore this mediating effect, institutional quality was added as an additional covariate in the FMOLS models. The findings, reported in Tables 14 and 15, offer further support for the mediating role of institutional quality and underscore the importance of renewable energy and technological advancement in enhancing food security in Sierra Leone with and without control variables, lending support to H6. Table 14 shows that, without control variables, renewable energy exerts a positive and statistically significant influence on food production (0.483%), rice (0.608%), cassava (0.055%), and fruit production (0.345%). Institutional quality also demonstrates a positive and significant effect on food (0.215%), rice (0.269%), cassava (0.437%), and fruit production (0.091%). These results indicate that institutional quality partially mediates the effects of renewable energy, particularly in enhancing the production of rice, cassava, and fruit (supporting H7).
Table 15 presents the outcomes for technological advancement. Without control variables, technological advancement positively and significantly affects food (0.036%), rice (0.089%), and fruit production (0.047%), while the effect on cassava production (0.036%) is positive but statistically insignificant. Institutional quality again shows a consistently positive and significant impact on food (0.206%), rice (0.234%), cassava (0.446%), and fruit production (0.073%) (supporting H8). These findings emphasize that institutional mechanisms, including policy enforcement, administrative efficiency, and governance quality, are essential channels through which technological improvements enhance food security. The consistent significance of institutional quality across models confirms its mediating role and highlights the importance of integrating technological and institutional reforms to improve food security in vulnerable settings such as Sierra Leone.
Table 13
Indirect effect of renewable energy and technological advancement on the mediating variable
| | Institutional quality | Institutional quality |
|---|
Variables | Model-1 | Model-2 | Model-3 | Model-4 |
Renewable energy | 0.542*** | 0.233*** | | |
| | (0.149) | (0.045) | | |
Technological advancement | | | 0.308*** | 0.075*** |
| | | | (0.083) | (0.012) |
Control variables | No | Yes | No | Yes |
Constants | 3.124*** | 2.760*** | 4.479*** | 2.897*** |
| | (0.246) | (0.483) | (0.537) | (0.627) |
R-squared | 0.733 | 0.795 | 0.647 | 0.813 |
Adjusted R-squared | 0.709 | 0.759 | 0.615 | 0.781 |
| Notes: ***, **, * represent 1%, 5% and 10% significance level |
Table 14
Mediation effect of renewable energy and institutional quality on food security
| | Food production | Rice production | Cassava production | Fruit production |
|---|
Variables | Model-1 | Model-2 | Model-3 | Model-4 | Model-5 | Model-6 | Model-7 | Model-8 |
Renewable energy | 0.483*** | 0.426*** | 0.608*** | 0.230*** | 0.055*** | 0.775*** | 0.345** | 0.064* |
| | (0.047) | (0.031) | (0.094) | (0.023) | (0.017) | (0.096) | (0.143) | (0.035) |
Institutional quality | 0.215*** | 0.096*** | 0.269*** | 0.097*** | 0.437*** | 0.119 | 0.091*** | 0.015*** |
| | (0.021) | (0.032) | (0.036) | (0.036) | (0.064) | (0.070) | (0.013) | (0.005) |
Control variables | No | Yes | No | Yes | No | Yes | No | Yes |
Constants | 1.902*** | 2.516*** | 10.515*** | 9.512*** | 13.876*** | 48.289*** | 10.648*** | 3.297*** |
| | (0.158) | (0.189) | (1.926) | (1.284) | (3.470) | (13.241) | (0.700) | (0.631) |
R-squared | 0.868 | 0.936 | 0.781 | 0.869 | 0.745 | 0.879 | 0.796 | 0.993 |
Adjusted R-squared | 0.857 | 0.921 | 0.762 | 0.839 | 0.724 | 0.851 | 0.779 | 0.992 |
| Notes: ***, **, * represent 1%, 5% and 10% significance level |
Table 15
Mediation effect of technological advancement and institutional quality on food security
| | Food production | Rice production | Cassava production | Fruit production |
|---|
Variables | Model-1 | Model-2 | Model-3 | Model-4 | Model-5 | Model-6 | Model-7 | Model-8 |
Technological advancement | 0.036** | 0.124*** | 0.089*** | 0.350*** | 0.036NS | 0.088 | 0.047*** | 0.039*** |
| | (0.016) | (0.042) | (0.029) | (0.117) | (0.063) | (0.183) | (0.008) | (0.012) |
Institutional quality | 0.206*** | 0.149*** | 0.234*** | 0.191*** | 0.446*** | 0.153* | 0.073*** | 0.014** |
| | (0.023) | (0.037) | (0.031) | (0.054) | (0.065) | (0.085) | (0.008) | (0.005) |
Control variables | No | Yes | No | Yes | No | Yes | No | Yes |
Constants | 4.243*** | 40.195*** | 13.453*** | 20.238*** | 14.134*** | 17.521*** | 12.313*** | 8.052* |
| | (0.038) | (10.075) | (0.051) | (9.514) | (0.108) | (8.521) | (0.014) | (3.981) |
R-squared | 0.876 | 0.934 | 0.831 | 0.903 | 0.748 | 0.867 | 0.924 | 0.993 |
Adjusted R-squared | 0.866 | 0.918 | 0.817 | 0.880 | 0.727 | 0.835 | 0.918 | 0.991 |
| Notes: NS refer to not significant, ***, **, * represent 1%, 5% and 10% significance level |