Table 1.
Variables data sources
| Variable | Indicator (subsystem) | Description | Unit/measurement | Source |
|---|---|---|---|---|
| AGR | Agriculture | Share of agriculture in GDP (%) | Percent of GDP | WDI |
| WATER | Water subsystem | Total water withdrawal from agricultural, industrial and municipal sectors | Cubic meters per capita | Aquastat |
| FOOD | Food subsystem | Agricultural production of major crops (sorghum, corn, rice, wheat, beans, millets, banana, cassava, potatoes) | Tonnes | FAOSTAT |
| ENERGY | Energy subsystem | Renewable energy consumption (% of total energy use) | Percent | WDI |
| ENVIRONMENT | Environment subsystem | Total greenhouse gas emissions (CO2 + CH4 + NO2) | Kilotonnes | FAOSTAT |
Table 3.
Unit root test
Table 5.
Cointegration test
Table 6.
Regression results (dependent variable: agr)
Table 7.
Spectral Granger causality approach
| Pair | Share of ω | Band significance |
|---|---|---|
| water to agr | 0.99 | Significant (most ω) |
| water to agr | 1 | Significant (most ω) |
| water to agr | 1 | Significant (most ω) |
| Lfood to agr | 0.99 | Significant (most ω) |
| Lfood to agr | 1 | Significant (most ω) |
| Lfood to agr | 1 | Significant (most ω) |
| energy to agr | 0.99 | Significant (most ω) |
| energy to agr | 1 | Significant (most ω) |
| energy to agr | 0.5 | Significant (many ω) |
| Lenv to agr | 0.99 | Significant (most ω) |
| Lenv to agr | 1 | Significant (most ω) |
| Lenv to agr | 1 | Significant (most ω) |

Figure 1.
Spectral GC: Water to AGR

Figure 2.
Spectral GC: LFOOD to AGR

Figure 3.
Spectral GC: ENERGY to AGR

Figure 4.
Spectral GC: LENV to AGR
