3.2. Theoretical Background
This study adopts the theoretical framework developed by [
33], which models environmental outcomes as a function of the trade-off between economic activity and forest cover. The original model conceptualizes forest dynamics as being influenced by consumption, capital accumulation, and government fiscal interventions, where fiscal policy affects forest outcomes through its impact on consumption behavior and environmental degradation rates. Readers are referred to [
33] for the full structural derivation of the model.
In simplified terms, the model establishes a direct link between fiscal policy and forest cover by showing that government expenditure and taxation influence resource consumption and the rate of environmental degradation, which, in turn, determines the evolution of forest stock over time. Under this framework, the effect of fiscal policy on forest cover is theoretically ambiguous, as it depends on structural parameters, fiscal composition, and the initial state of forest resources. Fiscal interventions may therefore lead to positive, negative, or neutral effects on forest dynamics.
While the original model employs forest cover as its measure of environmental outcome, the present study adapts this framework by utilizing forest cover conditions as a more comprehensive indicator of environmental change. Unlike forest cover, forest cover conditions captures not only changes in the spatial extent of forested land but also qualitative shifts in forest health and density, offering a richer characterization of environmental outcomes. This adaptation does not alter the structural logic of the theoretical framework, as the core mechanisms linking fiscal policy to environmental degradation rates remain fully applicable to the modified outcome variable.
Given this theoretical ambiguity, the relationship between fiscal policy and forest cover conditions is treated as an empirical question in this study. Accordingly, a reduced form Vector Autoregressive (VAR) model is estimated using monthly Tanzanian data for the period from January 2001 to December 2024 to capture the dynamic interactions among fiscal variables and forest cover conditions and dynamics. The effects of fiscal shocks are then traced using Impulse Response Functions (IRFs) and Forecast Error Variance Decomposition (FEVD).
3.3. Data Description
This study employs secondary time-series data covering over two decades of fiscal and environmental dynamics in Tanzania (2001–2024). The data were obtained from open reliable national and institutional sources, including the Bank of Tanzania, NASA, Hansen Global Forest Change and Google Earth Engine, and the Food and Agriculture Organization as shown in
Table 1. The analysis includes the following variables, forest cover conditions, development government expenditure, total tax revenue and trade and export performance.
Total government expenditure is disaggregated into recurrent and development components. This study focuses on development expenditure, as it better captures public investment in infrastructure and productive sectors which are more likely to influence land use change and forest cover dynamics than recurrent expenditure, which largely covers wages, salaries, and routine operational costs. The series reports actual expenditure outturns against budget estimates, reflecting recorded payments rather than funds merely allocated but not yet disbursed. Development expenditure is inherently lumpy in nature driven by contractor payments, procurement milestones, and donor disbursement schedules making month to month variation an economically meaningful signal of discrete fiscal activity.
Trade and export performance is included as a proxy for overall economic activity and business cycle fluctuations. Changes in trade and export performance reflect variations in production and trade dynamics, which may exert pressure on forest resources through demand for land, energy, and raw materials.
All fiscal variables used in the analysis were originally available at a monthly frequency and were consistently aligned to a unified monthly time scale across the full dataset to ensure temporal consistency and comparability. All fiscal variables were transformed into natural logarithms to stabilize variance and reduce skewness. To ensure comparability over time and control for inflationary effects, all monetary series were deflated using the national Consumer Price Index, with 2015 as the base year, resulting in real values expressed in constant Tanzanian Shillings. Trade and export values, originally reported in US dollars, were converted into Tanzanian Shillings using official exchange rates prior to deflation and transformation.
Vegetation indices are mathematical transformations of satellite spectral bands designed to enhance vegetation signals and enable consistent spatial and temporal comparison of photosynthetic activity and canopy characteristics. Vegetation indices are widely used to monitor short, medium, and long-term changes in vegetation conditions, phenology, and biophysical properties [
35,
36,
37].
The Moderate Resolution Imaging Spectroradiometer (MODIS) provides standardized global vegetation index products that support continuous monitoring of terrestrial vegetation dynamics. Among these, EVI and NDVI are generated at spatial resolutions of 1 km and 500 m with 16 days compositing intervals. NDVI is primarily sensitive to chlorophyll content and vegetation greenness, whereas EVI provides greater sensitivity to canopy structural characteristics, including leaf area, vegetation type, and canopy architecture [
35,
38,
39,
40]. Together, these indices provide complementary information for assessing vegetation status and change.
NDVI is defined as follows:
where NIR and R represent reflectance in the near-infrared and red spectral bands, respectively. NDVI values range from −1 to +1, with higher values indicating dense and healthy vegetation, while values near zero or negative typically represent sparse vegetation, bare soil, or water bodies [
39,
40,
41,
42,
43].
Although NDVI is widely applied in vegetation monitoring, it tends to saturate in high biomass regions, limiting its sensitivity in dense forest environments. To overcome this limitation, EVI was developed to improve sensitivity to canopy structural variation while reducing atmospheric and background effects in complex vegetation systems [
35].
EVI is expressed as follows:
where ρNIR, ρR, and ρB are surface reflectance in the Near-infrared, Red, and Blue bands. L is the canopy background adjustment factor, C
1 and C
2 are aerosol resistance coefficients, and G is a gain factor [
35,
44].
The aerosol resistance term uses the blue band to correct for atmospheric scattering effects in the red band, improving performance under conditions such as haze and biomass burning [
45]. Additionally, the canopy background adjustment reduces the influence of soil, litter, and other non-vegetation components, particularly in open and heterogeneous landscapes. These improvements enable EVI to better isolate vegetation signals and capture spatial and temporal vegetation dynamics.
Overall, EVI and NDVI provide complementary perspectives on vegetation conditions, with NDVI representing general greenness and EVI offering improved sensitivity to structural variation and dense canopy environments.
Therefore, in this study, EVI was used as the primary indicator for forest cover conditions and dynamics analysis due to its improved performance in high biomass and structurally complex forest ecosystems. Compared to other vegetation indices, EVI is less sensitive to saturation effects and atmospheric influences, making it better suited for assessing within-forest vegetation dynamics.
EVI was derived from MODIS MOD13Q1 products processed in Google Earth Engine. EVI was computed using the near-infrared, red, and blue bands following the standard formulation. The MODIS image collection was filtered for the study period, and scale factors were applied to convert digital values to surface reflectance. Each image was assigned temporal attributes (year and month) based on acquisition metadata, enabling the construction of a structured time series. Monthly composites were generated by grouping observations by year and month and computing mean values, reducing noise from cloud contamination and atmospheric variability. This resulted in a continuous monthly EVI time series. Forest-specific vegetation dynamics were extracted by applying a forest mask derived from the Hansen Global Forest Change dataset using a 30% tree cover threshold for the year 2000. This ensured that only forested pixels were included, while non-forest areas were excluded through spatial masking. Finally, mean EVI values were computed for forested areas within the national boundary of Tanzania for each monthly composite, producing a consistent time series for analyzing forest dynamics over time.
To address seasonal variation driven by rainfall and phenological cycles unrelated to forest cover change, the raw monthly EVI series is deseasonalized prior to analysis equivalent to computing EVI anomalies [
39,
46,
47]. This procedure eliminates recurring seasonal fluctuations, accounts for inherent differences in baseline greenness across vegetation types, and allows the analysis to focus on inter-annual variability and structural changes in forest cover rather than predictable seasonal cycles. The deseasonalized EVI series used in the VAR model therefore reflects genuine deviations from expected seasonal vegetation patterns, attributable to underlying changes in forest conditions rather than normal seasonal variation in greenness.
3.4. Econometric Approach
Following [
32,
33,
48,
49], our study employs a VAR model to analyze the dynamic interrelationships between fiscal policy variables and forest cover conditions and dynamics in Tanzania from January 2001 to December 2024. The VAR framework is appropriate as it captures feedback effects and temporal dynamics among macroeconomic and environmental variables without imposing strong a priori theoretical restrictions.
Unlike [
32,
48], who estimate their VAR models in demeaned form, this study retains a constant term in the specification. The inclusion of the constant captures the average level of the variables over time and ensures unbiased estimation, given that the variables are not mean zero processes.
The general reduced form VAR model is specified as follows:
where
Zt is a vector containing the endogenous variables.
B0 is a vector of constants.
B1, B2, …, Bp are coefficient matrices capturing the lagged interdependencies among the variables.
εt is a vector of reduced form innovations (white-noise disturbances).
The vector Zt in the VAR specification contains macroeconomic and forest cover conditions variables relevant to Tanzania.
In the base model, Zt includes development government expenditure, total tax revenue, trade and export performance, and the Forest Cover Conditions. This specification focuses on aggregate fiscal policy variables and their interaction with overall economic activity in influencing forest cover conditions and dynamics.
In the final part, the joint effects of government expenditure and taxation on forest cover conditions are examined under two alternative fiscal policy scenarios. The first scenario captures a deficit driven fiscal stance, where an increase in government expenditure is accompanied by a reduction in tax revenue. This represents an expansionary policy financed through fiscal imbalances. In contrast, the second scenario reflects a balanced budget approach, in which an increase in government expenditure is matched by a corresponding increase in tax revenue, maintaining fiscal neutrality. Within the VAR framework, these scenarios are implemented through simultaneous shocks to expenditure and tax variables, with the direction of the shocks distinguishing the two regimes. This approach allows the analysis to isolate how different fiscal policy combinations influence forest cover conditions and dynamics.
Impulse response analysis captures the extent and duration of each variable’s reaction to innovations elsewhere in the system. As emphasized in the time-series literature [
50], the residuals obtained directly from a reduced-form VAR cannot be interpreted as independent shocks, since each one reflects a mixture of the true underlying structural disturbances. To address this, the covariance matrix of the reduced-form residuals is decomposed using the Cholesky method, producing a set of orthogonal shocks that can be meaningfully attributed to individual variables. This procedure depends on assigning a specific causal ordering to the variables included in the system. Here, the variables are arranged as development expenditure, trade and export performance, tax revenue, and forest cover conditions. Under this arrangement, development expenditure shocks are treated as fully exogenous within the month, trade and export performance may react immediately only to fiscal spending, tax revenue can respond to both fiscal and trade innovations, and forest cover placed last is allowed to adjust contemporaneously to shocks originating from all three preceding variables. A similar logic underlies the identification strategy adopted for Brazilian deforestation study, where government expenditure, output, tax revenue, and deforestation are ordered analogously to isolate fiscal shocks [
33].
To evaluate whether this specific sequencing drives the results, three alternative orderings were also estimated, placing trade and export performance ahead of development expenditure and tax revenue; placing trade and export performance ahead of tax revenue and development expenditure; and placing tax revenue first, followed by trade performance and development expenditure. Across all three alternatives, the estimated dynamics remained essentially unchanged, indicating that the identification scheme is not driving the substantive conclusions (full results available upon request).