Abstract
Introduction:
Small-scale irrigated agriculture in arid regions relies heavily on unmetered groundwater, creating an “invisible pumping” threat to aquifer sustainability. Monitoring these diffuse withdrawals remains a critical challenge for water governance. This study proposes a synergistic multi-sensor remote sensing workflow to infer groundwater abstraction and assess its impact on local water stress using a semi-empirical thermal-phenological model.
Methods:
We leveraged high-resolution vegetation phenology (NDVI) from Sentinel-2 and thermal data (LST) from Landsat 8/9 over the Elfeija watershed, Morocco (2020–2024). By isolating the thermal-phenological anomaly (ΔLST) between irrigated plots and natural reference areas, we translated the surface cooling effect into evapotranspiration fluxes and pumping volumes. To ensure physical plausibility and avoid circularity, the approach was constrained by independent bottom-up agronomic benchmarks alongside a multi-tier cross-comparison against global models (MOD16, ERA5-Land, GLEAM), and a rigorous Monte Carlo uncertainty propagation integrating both parametric and recharge uncertainties.
Results:
The analysis reveals a distinct seasonal signature of irrigation. Probabilistic modeling indicates that the inferred annual pumping for 2022 (central estimates: 5.85–6.79 Mm3) strongly suggests a state of severe overdraft, with a high probability (P > 80%) of exceeding the estimated renewable aquifer recharge (4.70 Mm3). Furthermore, the framework successfully disentangled climatic triggers from anthropogenic forcing, capturing an anomalous, water-intensive late-season agricultural cycle in 2024.
Discussion:
While the lack of in-situ piezometric data limits absolute ground-truthing, the multi-source convergence (global models and local infrastructure data) robustly brackets the overdraft scenario. The proposed semi-empirical inference workflow provides a scalable, cost-effective framework for data-scarce regions, offering river basin agencies a proactive tool to identify over-extraction hotspots and negotiate sustainable water quotas.
1 Introduction
Water security in arid and semi-arid regions represents one of the most pressing challenges of the 21st century, exacerbated by the compounding pressures of climate change and growing food demand. In these regions, groundwater has become a critical buffer resource, yet its intensive use is leading to widespread depletion, threatening both agricultural sustainability and ecosystem health globally (; ). Agriculture is the dominant consumer, with its expansion into water-scarce areas driving an unprecedented and often unregulated reliance on aquifers (; ). This challenge is compounded by weak governance and inadequate monitoring, particularly in regions such as South Asia , the Middle East, and North Africa (; ). The core of the management problem lies in the diffuse and “invisible” nature of this abstraction, where thousands of individual unmetered small-scale farmers contribute collectively to a significant, yet largely unquantified, regional water stress.
Morocco serves as a representative case study of this global challenge. As a key sector of the national economy, agriculture consumes about 88% of the country’s water, with a heavy and increasing reliance on groundwater (). Government policies, such as the Green Morocco Plan, have often encouraged the cultivation of high-value, water-intensive crops, leading to severe aquifer over-extraction (). This issue is particularly acute for crops like watermelon in the Drâa Valley, where a shift from traditional surface irrigation to intensive private well pumping has exacerbated local water stress (). This agricultural pressure is compounded by a steady decline in annual precipitation, further diminishing natural aquifer recharge (). Recent studies in key agricultural basins like the Middle Atlas have documented alarming declines in groundwater levels, with drops of up to 5 m per year, leading to the complete drying of surface water bodies such as Lake Aoua (). The proliferation of private wells, especially for small-scale farming, has been identified as a major driver of this depletion ().
In response to this critical data gap, satellite remote sensing has emerged as a powerful tool for monitoring agricultural water use over large areas (). Satellites provide a means to observe the biophysical consequences of water application. While sophisticated Surface Energy Balance (SEB) models (e.g., SEBAL, METRIC) provide highly accurate actual ET estimations (), their operational application for continuous, multi-annual monitoring of smallholder farming is often hindered by the extensive requirement for high-resolution, in-situ micrometeorological data. Therefore, there is a critical need for simplified, proxy-based operational workflows. The Normalized Difference Vegetation Index (NDVI) tracks vegetation health and phenology (Tucker, 1979), while Land Surface Temperature (LST) serves as a proxy for the surface energy balance. The process of evapotranspiration (ET) induces a detectable cooling effect on irrigated canopies compared to dry surroundings (). The synergistic analysis of NDVI and LST time-series offers a pragmatic physical basis for monitoring crop water status when ground data are scarce.
Recent advances in satellite technology, particularly the complementary missions of Sentinel-2 and Landsat, have opened new frontiers for this approach. The integration of high-resolution multispectral data from Sentinel-2 (10–20 m, 5-day revisit) and the rich thermal history of Landsat (30–100 m, 8–16 days revisit) provides an unprecedented combination of spatial detail and temporal frequency (Singh et al., 2020). This synergy allows for the reduction of data gaps caused by cloud cover and improves the accuracy of ET estimations, which is crucial for effective water resource management (). However, while many studies have successfully used this synergy to map irrigated areas or detect water stress (), a critical research gap remains in translating these observations into robust, multi-annual quantifications of abstracted groundwater volumes and assessing their direct contribution to local water stress UN-Water (2023).
This study aims to bridge this gap by developing and applying a comprehensive workflow that moves from the detection of thermal-phenological anomalies to the direct estimation of unsustainable groundwater pumping. We focus on the Elfeija watershed in Morocco, an emblematic arid agro-ecosystem heavily reliant on groundwater. By confronting our satellite-derived water volume estimations with local hydrogeological data and independent climate and water stress models, we aim to provide a tangible measure of the “invisible pumping” and its consequences for long-term water sustainability, a challenge specifically highlighted for the Drâa Valley (
). The primary objectives of this study are therefore threefold:
To develop and apply a synergistic Sentinel-2 and Landsat time-series analysis (2020–2024) to detect and monitor the distinct thermal-phenological signature of small-scale irrigated agriculture.
To quantify the volume of groundwater pumped for irrigation by translating the observed surface cooling effect into an estimated evapotranspiration flux, thereby making the “invisible pumping” visible.
To assess the sustainability of these withdrawals by comparing the estimated pumping volumes with local aquifer recharge data and contextualizing the findings using independent climate and water stress datasets.
2 Materials and methods
2.1 Study area: the elfeija watershed, Morocco
This study focuses on the Elfeija watershed, located within the larger Drâa River Basin in southeastern Morocco (approximate center: N 30°10′00″, W 6°10′00″) (Figure 1). The region is characterized by a hyper-arid climate, with annual precipitation averaging less than 100 mm and experiencing high inter-annual variability. Potential evapotranspiration rates are extremely high, exceeding 2,000 mm per year, resulting in a significant structural water deficit that makes rainfed agriculture unviable (). The landscape is a typical arid agro-ecosystem, comprising sparse natural vegetation (steppe) interspersed with concentrated pockets of irrigated agriculture, primarily located along the wadi systems and in plains where groundwater is accessible.
FIGURE 1
The local economy is heavily dependent on this irrigated agriculture, which relies almost exclusively on groundwater abstraction. The primary agricultural activity is the cultivation of high-value, water-intensive cash crops, notably watermelon (
Citrullus lanatus) (
). This form of agriculture is predominantly practiced by small-scale farmers who utilize private, often unmetered, tube wells and boreholes to extract water from the underlying aquifer system. The typical irrigation technique involves drip irrigation, fed by water pumped into on-farm storage basins, as illustrated in
Figure 2. This practice, while economically vital, has placed immense pressure on the region’s fragile groundwater resources, a trend observed in many arid regions of Morocco (
). A manual delineation approach was deliberately chosen over automated pixel-based classification to mitigate the ‘mixed-pixel’ effect, which is highly problematic in fragmented smallholder agro-ecosystems where individual fields are often smaller than the spatial resolution of Landsat thermal bands. By manually drawing polygons exclusively over homogeneous clusters, we ensured the extraction of ‘pure’ spectral and thermal signals. While this purposive sampling strategy may not capture the absolute entirety of the basin’s land use heterogeneity, the selected plots are representative of the dominant intensive watermelon cropping systems and the typical arid background, thus providing a highly controlled spatial framework to isolate the anthropogenic irrigation signal. These were classified into two distinct groups:
16“Irrigated” polygons: These polygons encapsulate clusters of active agricultural plots, clearly identifiable by their distinct greenness during the growing season (December-May) and the visible presence of irrigation infrastructure.
16“Reference” polygons: These polygons were selected in close proximity to the irrigated plots but cover areas of natural, non-agricultural land (barren soil, sparse steppe). They were chosen to have similar topographical and soil characteristics to serve as a representative baseline for the natural thermal-phenological response of the landscape.
FIGURE 2
Table 1 summarizes the key characteristics of these polygon groups. The 16“Irrigated Plots” cover a total area of 8,780 ha and contain the vast majority of the agricultural activity, with an estimated 580 active wells identified through high-resolution imagery. The 16“Reference Areas,” covering a slightly larger area of 11,126 ha, were selected to represent the surrounding natural landscape. Both groups are situated at a similar mean elevation (≈775 m) and on very low slopes (≈1.5%), indicating that the primary discriminating factor between them is land use rather than topography.
TABLE 1
| Characteristic | Irrigated plots | References areas | Total/Average |
|---|---|---|---|
| Number of polygons | 16 | 16 | 32 |
| Total area (ha) | 8780.4 | 11,125.9 | 19,906.4 |
| Mean polygon area (ha) | 548.8 | 685.3 | 622.1 |
| Area range (ha) | 201.4–1101.4 | 209.6–2055.1 | - |
| Estimated active crop area (ha) 580–1160 | |||
| Fractional irrigated cover f_irr 0.07–0.13 | |||
| Primary land cover | Irrigated Cropland (watermelon) | Barren soil, sparse steppe, natural vegetation | - |
| Estimated number of wells | 580 | 11 | 591 |
| Mean elevation (m) | 772 | 776 | - |
| Mean slope (%) | 1.4 | 1.5 | |
Summary characteristics of the sampled polygon groups within the Elfeija watershed.
To characterize the overall hydro-climatic conditions of the watershed, we analyzed the mean monthly dynamics of NDVI and LST across the entire study area (125,175 ha) for the 2020–2024 period, as derived from Sentinel-2 and Landsat data respectively. The results are presented in Figure 3. The watershed exhibits a typical arid climate signature, with LST peaking at over 60 °C during the hot, dry summer months (June-August). A clear inverse relationship is observed between temperature and vegetation, with the basin-wide mean NDVI reaching its lowest point during these summer peaks. A slight increase in NDVI is noticeable in the cooler, wetter winter and early spring months, reflecting the opportunistic response of the sparse natural vegetation to precipitation events. The large standard deviation observed for LST, particularly during transitional seasons, highlights the significant thermal heterogeneity of the landscape. This climatological baseline provides the essential context for interpreting the specific anomalies induced by irrigated agriculture, which will be detailed in the Results section.
FIGURE 3
2.2 Satellite and ancillary data
To conduct this multi-annual analysis (1 January 2020, to 31 December 2024), a suite of multi-source satellite and climate reanalysis datasets was acquired and processed within the Google Earth Engine (GEE) platform.
2.2.1 Sentinel-2 MSI
Sentinel-2 Level-2A surface reflectance data from the COPERNICUS/S2_SR_HARMONIZED collection were used to derive vegetation information. This dataset provides multispectral imagery at 10–20 m spatial resolution with a high revisit frequency (∼5 days). The red (Band 4, 10 m) and near-infrared (NIR, Band 8, 10 m) bands were used to compute the Normalized Difference Vegetation Index (NDVI) as NDVI = (NIR - Red)/(NIR + Red). The QA60 quality band was used to mask out pixels contaminated by clouds and cirrus.
2.2.2 Landsat 8/9 OLI/TIRS
Land Surface Temperature (LST) data were derived from the Landsat eight and 9 Collection2 Level-2 Science Products (LANDSAT/LC08/C02/T1_L2 and LANDSAT/LC09/C02/T1_L2). The combined constellation provides thermal imagery at an 8-day revisit frequency. We used the Surface Temperature band (ST_B10), to which the appropriate scale factor (multiply by 0.00341802 and add 149.0) was applied to convert digital numbers to Kelvin, and then to Celsius. The QA_PIXEL band was used to mask pixels affected by clouds and cloud shadows, ensuring data quality.
2.2.3 Climate reanalysis data (ERA5-Land)
To provide a climatic baseline for evapotranspiration, we used the ECMWF/ERA5_LAND/MONTHLY_AGGR dataset. This product provides monthly aggregated data at a ∼9 km resolution. We used the total_evaporation_sum variable, which represents the accumulated monthly ET. Following the product’s convention, a factor of −1000 was applied to convert the data from meters of water depth (with a negative sign for an outgoing flux) to a positive value in millimeters per month (mm/month).
2.2.4 Local hydrogeological data
To assess the sustainability of the estimated pumping volumes, we utilized ancillary data from local literature for the year 2022 (; ). These data include an estimated annual lateral groundwater recharge of 2.72 Mm3 and a direct infiltration recharge of 1.98 Mm3, for a total annual renewable resource of 4.70 Mm3.
2.3 Methodology
To address the need for continuous monitoring, we developed a replicable, three-step framework designed to translate raw satellite observations into quantified water volumes and sustainability metrics. All spatial processing and time-series extractions were performed within the Google Earth Engine (GEE) platform. The 5-year timeframe (2020–2024) was specifically selected to ensure dense data availability from the combined Sentinel-2 and Landsat 8/9 constellations, while capturing significant inter-annual climatic variability, including a major drought and an exceptional late-season anomaly. The workflow is summarized in Figure 4.
FIGURE 4
2.3.1 Time-series extraction
For each of the 32 polygons, we generated monthly composite time-series for both NDVI and LST. For each month from January 2020 to December 2024:
All available Sentinel-2 and Landsat images within that month were collected.
Cloud masks were applied to remove contaminated pixels.
For each sensor, a single monthly mean composite image was created using the mean () reducer. This process minimizes data gaps and smooths short-term atmospheric variability.
The mean NDVI (from Sentinel-2) and mean LST (from Landsat) were then calculated for each polygon using a spatial reduction. The resulting data were exported as a CSV file containing the monthly mean NDVI and LST for each of the 32 polygons over the 5-year period.
2.3.2 Estimation of irrigation water volume
The exported data were processed using Python with the Pandas library to quantify the water pumped. For each month, the following steps were performed:
Baseline Calculation: The average NDVI (NDVI_Reference) and LST (LST_Reference) were calculated across all 16 Reference polygons.
Delta Calculation: For each individual irrigated polygon, the difference from the baseline was computed:
- o
ΔNDVI = NDVI_Irrigated - NDVI_Reference
- o
ΔLST = LST_Reference - LST_Irrigated (A positive ΔLST indicates a cooling effect).
- o
Estimation of irrigation ET
The surplus evapotranspiration from irrigation (ETirrigation) was estimated by translating the observed thermal anomaly (ΔLST) into a water flux. This approach is conceptually rooted in the surface energy balance, where the difference in available energy between a dry and a wet surface is primarily dissipated as latent heat flux (i.e., ET). Numerous studies have demonstrated a strong, often linear, inverse relationship between ET and LST under energy-limited conditions (; ). Building on this principle, we modeled the relationship as Equations 1, 1a:
With
The empirical coefficient
cin
Equation 1acts as a combined physical and temporal scaling operator. It physically integrates the standard thermodynamic properties of the air-soil boundary layer (air density, specific heat, and latent heat of vaporization), the aerodynamic resistance of the sparse canopy
ra, and the temporal integration factor required to upscale the instantaneous mid-morning satellite overpass (∼10:30 AM) into a cumulative daily and monthly water depth. Under arid conditions with high, stable solar radiation, the diurnal cycle of energy partitioning is highly regular, allowing this first-order linear scaling to capture the monthly trend of irrigation intensity. While the absolute relationship between LST and ET is inherently non-linear and governed by complex aerodynamic and physiological resistances, our approach relies on the differential signal (ΔLST) between adjacent surfaces with similar available energy (
Rn − G). In this differential framework, the first-order linear approximation (ET ≈ c × ΔLST) is a standard and physically justified simplification for isolating the latent heat flux surplus induced by irrigation (
;
). We acknowledge, however, that this linearization introduces structural uncertainty, particularly under extreme advective conditions or highly heterogeneous canopies, which is further explored in our uncertainty analysis (
Section 4.5). The coefficient c is physically derived from the surface energy balance (
Section 4.5) and independently calibrated via the FAO-56 Penman-Monteith equation applied to ERA5-Land reanalysis data (
Section 2.2.3), yielding a calibrated central value of c
cal= 5.8 mm/month/°C. For transparency and reproducibility, all primary volume estimates reported in
Section 3.4and
Table 2are computed using a round conservative value of c = 5.0 mm/month/°C, which represents a deliberate lower bound—approximately 14% below the calibrated central estimate. The calibrated central estimate and the full uncertainty envelope are reported alongside in
Sections 4.2and
4.5. This dual reporting ensures that the central findings are robust to the choice of c, and that the conservative bound is not misleadingly presented as the most likely value.
Volume Calculation: The estimated monthly volume of pumped water for each polygon was then calculated by multiplying the ET depth by the polygon’s surface area (Equations 2, 2a).
where A
hais the area in hectares. One mm of water on 1 ha is exactly equivalent to 10 m
3TABLE 2
| c (mm/month/°C) | ET_irr April (mm/month) | Annuel Vol. (Mm3) | Pomping/recharging Ratio | Status |
|---|---|---|---|---|
| 1.0 | 2.4 | 1.17 | 0.25 | Sustainable |
| 2.0 | 4.7 | 2.34 | 0.50 | Sustainable |
| 3.0 | 7.1 | 3.51 | 0.75 | Sustainable |
| 4.0 ≈ c* | 9.5 | 4.68 | 0.99 | Critical treshold |
| 5.0 (current) | 11.9 | 5.85 | 1.24 | Overexploitation |
| 6.0 | 14.2 | 7.02 | 1.49 | Severe |
| 7.0 | 16.6 | 8.19 | 1.74 | Severe |
| 8.0 | 18.9 | 9.36 | 1.99 | Severe |
| 10.0 | 23.7 | 11.70 | 2.49 | Critical |
| 12.0 | 28.4 | 14.04 | 2.99 | Critical |
Complete sensitivity— 2022 (c* = 4.02 mm/month/°C).
The coefficient c can be physically derived from the surface energy balance. Under the assumption that the available energy (Rn−G) is approximately equivalent between the irrigated and reference surfaces—warranted by their similar topography, albedo, and soil type (Table 2)—the surplus in latent heat flux (ΔLE) is balanced by the deficit in sensible heat flux (ΔH) (Equation 3):
By converting the latent heat flux into a monthly water depth equivalent, the thermo-evaporative conversion coefficient cc is expressed as Equation 4:where ρair is the air density (1.15 kg m-3 at 775 m elevation and ∼30 °C), cp is the specific heat of air at constant pressure (1005 J kg-1·°C−1), Δtmonth is the duration of an average month (2.63 × 106 s), ra is the aerodynamic resistance (s·m-1), λ is the latent heat of vaporization (2.43 × 106 J kg-1 at 30 °C), and ρw is the density of water (1000 kg m-3).
For drip-irrigated sparse canopies typical of watermelon fields in arid environments, the aerodynamic resistance rara generally ranges between 150 and 400 s m-1 (; ). Propagating this range into Equation 4 yields the theoretically admissible bounds for c (Equation 5):
We acknowledge that ra is not strictly constant and varies dynamically with crop phenology, wind speed, and canopy structure. This variability introduces a structural (model-form) uncertainty in the linear ΔLST-to-ET conversion. Rather than assuming a fixed ra, we treat c as a probability distribution constrained within these physical bounds, which is subsequently propagated through our Monte Carlo uncertainty analysis (Figure 4).
To evaluate the sustainability of the groundwater system under uncertainty, the probability of aquifer overdraft was framed as a classic risk and reliability problem (Tung and Yen, 2005). The overdraft probability, P(V > R), occurs when the estimated annual pumping volume (V, the “load”) exceeds the annual aquifer recharge (R, the “capacity”). Assuming V and Rare independent random variables with probability density functions fV(v) and fR(r), this probability is theoretically defined as:
Because the analytical integration of these complex, mixed distributions (triangular, normal, and uniform) is intractable, we solved this equation numerically using the Monte Carlo method (). For N = 100,000 iterations, random samples were simultaneously drawn from the uncertainty distributions of the pumping model parameters (to generate vi) and the recharge distribution (to generate ri). The probability of overdraft was approximated by the law of large numbers using the indicator function I:
To provide an independent, data-driven calibration of c, we derived monthly reference evapotranspiration (ET0) for the 2020–2024 period using the FAO-56 Penman-Monteith equation (), computed within GEE from ERA5-Land reanalysis variables (2-m temperature, dew-point temperature, 10-m wind speed, and surface solar radiation). The crop evapotranspiration for drip-irrigated watermelon was then estimated as:where Kc is the stage-specific crop coefficient (Kc,ini = 0.40; Kc,mid = 0.90; Kc,end = 0.75, following ), fw = 0.70 is the fractional soil wetted area correction for drip irrigation (), and firr = 0.10 is the mean fractional irrigated cover within the sampled polygons, estimated from high-resolution imagery. For April—the peak growing month—this yields:
Given the mean observed ΔLST for April months over the study period (mean ΔLST_April = 2.54 °C, derived from Table 2), this implies:
It is crucial to note that the fractional irrigated cover (firr) is NOT used to compute the total pumped volume, which is directly extrapolated over the entire polygon area to avoid introducing sub-pixel aggregation bias. The firr parameter is exclusively utilized in Section 4.2 for the cross-scale validation against field-level agronomic benchmarks.
This calibrated value is in close agreement with the adopted c = 5 mm/month/°C (relative difference of ∼14%), providing first-order validation of the empirical coefficient. The slight overestimate of c_cal relative to c reflects expected spatial heterogeneity in canopy coverage across large polygons and confirms that c = 5 represents a conservative lower bound on actual irrigation-induced evapotranspiration.
5. Annual Extrapolation for the Base Year (2022): To transition from monthly snapshots to an annual abstraction volume (
Vannual)necessary for the aquifer water balance, the monthly estimates for the baseline year (2022) were extrapolated across the active growing season. Based on regional agronomic practices for watermelon (planting in December/January, peak development in March/April, harvest in May), the irrigation season spans approximately five to 6 months. The annual volume was aggregated by applying the calculated monthly Δ
LST-derived volumes where available (e.g., April for the peak season, October for the off-season baseline). For intermediate months lacking cloud-free Δ
LSTretrievals, volumes were interpolated using a piecewise constant function scaled by the standard FAO-56 crop coefficient curve (
Kc) for watermelon (
). Specifically:
Peak Season (Mar-Apr-May): The high April volume was applied as a representative peak.
Initial/Development Phase (Dec-Jan-Feb): Volumes were scaled down proportionally to the lower early-stage Kc values.
Off-Season (Jun-Nov): The minimal October volume was applied as a constant baseline representing residual or secondary crop irrigation.
This agronomy-informed temporal integration yields the conservative lower-bound estimate (c = 5.0) of Vannual,2022 = 5.85 Mm3, and the calibrated central estimate (ccal = 5.8) of Vannual,2022 = 6.79 Mm3. The temporal scaling introduces an additional layer of uncertainty (±10%), which is explicitly accounted for in the subsequent Monte Carlo error propagation (Section 3.5). The complete monthly breakdown used for this annual integration is provided inSupplementary Table S1).
2.3.3 Sustainability assessment
Finally, the estimated annual pumping volume (extrapolated from the monthly values based on the known crop cycle of watermelon) for the year 2022 was compared directly to the total annual aquifer recharge (4.70 Mm3) to assess the sustainability of the practice at the watershed scale. The Methodological workflow is presented below (Figure 5):
FIGURE 5
3 Results
3.1 Hydro-climatic context of the elfeija watershed
To provide a comprehensive overview of the hydro-climatic context of the Elfeija watershed, key water balance components were analyzed for the 2020–2024 period (Figure 6). The precipitation regime is typically Mediterranean-arid, with rainfall concentrated in the autumn and winter months, followed by a pronounced dry season from May to September (Figure 5c). This precipitation pattern directly governs the soil moisture dynamics (Figure 5a), which peaks in late winter before rapidly declining to its minimum during the hot summer months. The cumulative actual evapotranspiration (Figure 5b) illustrates the high atmospheric water demand, particularly during spring and summer. Notably, this analysis visually confirms the exceptional rainfall event in September 2024, which aligns with the anomalous agricultural activity detected in our remote sensing analysis. This strong seasonal disconnect between natural water supply and evaporative demand underscores the critical role of groundwater as the sole reliable water source for the region’s agricultural activities.
FIGURE 6
3.2 Seasonal and inter-annual dynamics of irrigated agro-ecosystem
The synergistic time-series analysis of Sentinel-2 (NDVI) and Landsat (LST) data from 2020 to 2024 reveals a distinct and highly repeatable seasonal signature for the irrigated plots, which stands in stark contrast to the behavior of the natural landscape. Figure 6 presents the monthly aggregated time-series for the mean NDVI and LST for both “Irrigated” and “Reference” polygon groups.
The NDVI profile (Figure 7a) clearly delineates the agricultural calendar. Each year, the irrigated plots exhibit a pronounced vegetation cycle, with NDVI values starting to rise in the winter months (December/January), reaching a peak in early spring (March/April), and rapidly declining to baseline levels by early summer (May/June). The peak NDVI values for irrigated plots consistently reached between 0.20 and 0.28, indicative of a vigorous crop canopy. In contrast, the Reference areas, representing the arid background, show a much flatter and lower NDVI profile, with baseline values consistently remaining below 0.10 throughout the year, showing only a slight response to seasonal precipitation events. This persistent and significant gap between the two curves during the growing season is the primary phenological signature of irrigation.
FIGURE 7
The LST time-series (Figure 7b) provides a complementary thermal perspective that corroborates the NDVI findings. While both irrigated and Reference plots follow the same broad seasonal temperature pattern, a critical divergence occurs during the peak growing season. From approximately February to May each year, the irrigated plots are systematically cooler than the adjacent Reference plots. This period of relative cooling perfectly coincides with the period of elevated NDVI. Following the harvest period in May, the LST of the irrigated plots rapidly converges with that of the Reference plots, and both surfaces exhibit nearly identical thermal behavior throughout the summer, autumn, and early winter (LST difference <1.0 °C), with peak summer temperatures consistently exceeding 60 °C. This recurring pattern of spring cooling followed by summer convergence is the distinct thermal signature of irrigation-induced evapotranspiration.
3.3 Quantifying the impact of irrigation on vegetation and surface temperature
To isolate the net impact of irrigation, we calculated the monthly difference between the irrigated and Reference plots for both NDVI (ΔNDVI) and LST (ΔLST). The results, presented in Figure 8, quantify the magnitude and timing of the agricultural anomaly.
FIGURE 8
The ΔNDVI time-series (Figure 8a) reveals sharp, positive peaks each spring, confirming that the “greenness” surplus is concentrated during the crop growth period. The magnitude of this peak varies from year to year, reaching a maximum of approximately 0.18 in 2020. The ΔLST, calculated as LST_Reference - LST_Irrigated, shows a remarkably similar pattern (Figure 8b). The relative cooling effect is also concentrated in the spring season, with positive peaks indicating that irrigated plots were up to 5 °C cooler than the surrounding natural landscape. A strong and statistically significant temporal correlation was found between the seasonal vegetation surplus (ΔNDVI) and the relative cooling effect (ΔLST) across the study period (Pearson’s r = 0.72, p = 0.019, N = 10). This correlation provides compelling physical evidence that the increased vegetation density is directly linked to an active cooling process, namely, evapotranspiration. Outside the growing season, both ΔNDVI and ΔLST values hover close to zero, confirming the absence of significant agricultural activity.
The physical basis for the observed correlation between ΔNDVI and ΔLST is further illustrated in the LST-NDVI feature space (Figure 9a, b). The scatter plot reveals a clear separation between the two land cover types. The Reference Areas (red dots) are confined to a low-NDVI, high-LST region, forming a well-defined “dry edge” characteristic of an arid landscape. In contrast, the Irrigated Plots (blue dots) expand into a high-NDVI domain that is inaccessible to the natural ecosystem. Significantly, for any given NDVI value, the irrigated points consistently exhibit lower LST values than the reference points, particularly during the irrigation season (blue circles).
FIGURE 9
This vertical displacement within the feature space is a direct visualization of the surface cooling driven by the evapotranspiration of irrigation water, and it forms the conceptual foundation of our ET estimation method.
3.4 Estimation of groundwater pumping volumes and inter-annual variability
The analysis reveals substantial groundwater abstraction during the peak growing season. For the month of April, estimated pumping volumes consistently ranged between 1.1 and 1.8 million m3 across the years. In stark contrast, the estimated volumes for October were minimal, typically less than 0.8 million m3, confirming that the majority of groundwater pumping is concentrated in the spring.
The aggregated monthly results, summarizing the net impact of irrigation and the total estimated pumped volumes for the peak (April) and off-season (October) months, are presented in Table 3 and Figure 10.
TABLE 3
| Period | Mean ΔNDVI (Irrig. - Ref.) | Mean ΔLST (cooling, °C) | Mean ET_irrigation (mm/month) | Total pumped Volume (Mm3) |
|---|---|---|---|---|
| 2020–04 | 0.101 | 2.61 | 13.05 | 1.16 |
| 2020–10 | 0.034 | 0.98 | 4.90 | 0.43 |
| 2021–04 | 0.093 | 1.05 | 5.25 | 0.46 |
| 2021–10 | 0.038 | 0.88 | 4.40 | 0.39 |
| 2022–04 | 0.089 | 2.37 | 11.85 | 1.05 |
| 2022–10 | 0.030 | 0.95 | 4.75 | 0.42 |
| 2023–04 | 0.106 | 2.87 | 14.35 | 1.27 |
| 2023–10 | 0.021 | 1.86 | 9.30 | 0.82 |
| 2024–04 | 0.080 | 1.93 | 9.65 | 0.85 |
| 2024–10 | 0.103 | 2.71 | 13.55 | 1.20 |
Summary of estimated irrigation impact and pumped water volumes.
FIGURE 10
Significant inter-annual variability is evident. The highest peak-season pumping was estimated for April 2023 at 1.27 Mm3, while April 2024 showed a comparatively lower peak-season volume (0.85 Mm3). Most strikingly, the analysis reveals a major anomaly in late 2024. The estimated pumping volume for October 2024 surged to 1.20 Mm3, a value comparable to a typical peak season and an order of magnitude higher than any other off-season month in the study period. This quantitative result confirms the presence of an anomalous, water-intensive agricultural cycle in late 2024, corroborating the qualitative observations from the NDVI and LST time-series. Based on these seasonal estimates, the total extrapolated annual groundwater abstraction for the studied plots in 2022 is reported as follows: (i) conservative lower-bound estimate (c = 5.0): 5.85 Mm3; (ii) calibrated central estimate (c_cal = 5.8): 6.79 Mm3 [Monte Carlo IC 95%: 3.5–10.8 Mm3]. Both values are used in the sustainability assessment of Section 3.5 and discussed in Section 4.33.5. Water Stress Context and Sustainability Baseline.
To provide a broader context for our pumping estimates, we analyzed two independent, large-scale datasets. First, the long-term climatic water balance for the study area was calculated using the TerraClimate dataset. The results indicate a severe structural water deficit, with a 30-year average annual climatic water balance (Precipitation - Potential Evapotranspiration) of −2284 mm/year (Table 4).
TABLE 4
| Characteristic | Irrigated plots (mean ± Std. Dev.) | References areas (mean ± Std. Dev.) |
|---|---|---|
| Annual water balance (mm/year) | −2286 ± 18 | −2287 ± 25 |
| Aridity index (P/PET) | 0.033 ± 0.002 | 0.032 ± 0.002 |
| Climatic class | Hyper-arid | Hyper-arid |
| Baseline water stress score | 3.82 ± 0.24 | 3.70 ± 0.23 |
Hydro-climatic and water stress characteristics of the study polygon groups.
Second, we assessed the baseline water stress using the WRI Aqueduct 3.0 global water risk atlas. The mean Baseline Water Stress score (bws_score) across all our study polygons is 3.76. According to the Aqueduct classification scheme, scores between 3.0 and 4.0 fall into the “High” risk category, bordering on “Extremely High” risk (score >4.0). Figure 11 presents a map of this water stress score over the study area.
FIGURE 11
3.5 Quantitative uncertainty propagation and overdraft risk assessment
While the volume estimates establish the magnitude of the agricultural water demand, providing a single deterministic value (e.g., 6.79 Mm3) obscures the structural and parametric uncertainties inherent in the remote sensing workflow. To rigorously characterize the confidence in these estimates, and to respond to the critical need for uncertainty quantification in data-scarce environments, we performed a Monte Carlo uncertainty propagation analysis (N = 100,000 iterations).The analysis integrated five independent sources of error pertaining to the model inputs (the coefficient c, instrumental ΔLST precision, inter-annual extrapolation, ERA5 ET0 precision, and polygon delineation) along with the uncertainty associated with the regional aquifer recharge estimate. The distributions, parameters, and physical justifications for each error source are detailed in Table 5.
TABLE 5
| Uncertainty source | Distribution type | Parameter limits/Range | Contributing uncertainty (σ) | Physical/Scientific justification |
|---|---|---|---|---|
| Model inputs and parameters | ||||
| Empirical coefficient (c) | Triangular | Min: 3.13, mode: 5.85, Max: 8.38 mm/month/°C | ∼±26% | Plausible theoretical range bounded by aerodynamic resistance limits (ra ∈ [150,400] s/m) |
| ΔLST precision (instrument) | Normal | σ = 0.5 °C | ∼±18% | Landsat TIRS uncertainty (±1 K) scaled by scene availability (n ≈ 3 scenes/month) |
| Annual extrapolation | Uniform | ±10% duration variance | ∼±6% | Empirical variability in crop cycle duration and planting dates |
| ERA5-land ET0 precision | Normal | σ = 10% | ∼±5% | Standard reanalysis uncertainty for high-radiation arid zones |
| Polygon area (A) delineation | Normal | σ = 3% | ∼±3% | Manual digitization precision bounded by landsat spatial resolution |
| Aquifer recharge baseline | Uniform | ±15% around 4.70 Mm3 | ∼±4% | Regional hydrogeological assessment uncertainty (ABH) |
| Monte Carlo propagation results (N = 100,000) | ||||
| Combined pumping volume (V) | Propagated | Best estimate (c = 5.8): 6.79 Mm3 | Combined σ≈±33% | Quadratic sum of all systematic and random input errors |
| 68% parametric uncertainty bound | - | [4.55; 9.03] Mm3 | - | Encompasses 1σ equivalent probability space |
| 95% parametric uncertainty bound | - | [2.31; 11.27] Mm3 | - | Encompasses 2σ equivalent probability space |
| Overdraft risk (P(V > Recharge)) | Probabilistic | P ≈ 82% | - | Probability that simulated abstraction exceeds simulated recharge |
Propagation of uncertainty in the 2022 annual pumping volume assessment and overdraft risk evaluation.
The reported ranges represent conditional parametric uncertainty bounds rather than strict frequentist confidence intervals, as they are conditional upon the structural assumptions of the semi-empirical ΔLST-ET, inference model.
The propagation analysis yields a combined relative uncertainty of approximately ±33% around the central estimate. Despite this substantial, though physically realistic, uncertainty bound for a satellite-derived water balance, the probabilistic risk assessment yields a critical finding. When confronted with the aquifer’s sustainable recharge limit (4.70Mm3 ± 15%), the simulation indicates an 82% probability that the actual annual groundwater abstraction exceeds the renewable recharge (P(V > Recharge)). Even at the lower limit of the 68% parametric uncertainty bound (4.55 Mm3), the estimated pumping consumes nearly 97% of the basin’s total annual recharge. This establishes that the diagnosis of severe groundwater overdraft is statistically robust to the dominant sources of parametric uncertainty in our inference model.
3.6 Independent water balance validation results
The three-tier validation framework produced mutually consistent results that corroborate the physical plausibility of our ΔLST-based ET estimates.
For Tier 1, the mean ΔET_MOD16 during the growing season peak (April) across the study period averaged 5.8 mm/month—systematically lower than our ΔLST-derived estimate of 11.9 mm/month (c = 5) but directionally consistent, capturing a positive ET surplus in irrigated plots during each growing season and near-zero values in off-season months. The systematic underestimation of ΔET_MOD16 relative to ΔET_ΔLST is consistent with the documented tendency of MOD16 to underrepresent ET in intensively irrigated arid environments, where the MODIS LAI product fails to fully capture the irrigated canopy density (Velpuri et al., 2013). The seasonal patterns remain in strong agreement (Pearson r = 0.78, p < 0.001, N = 30), validating the temporal structure of our irrigation signal.
For Tier 2, the ERA5-Land water balance residual (ΔGW) was consistently negative during the spring growing season across all five study years (mean ΔGW_April = −10.2 mm/month over irrigated polygons), confirming a net depletion of groundwater storage during the irrigation period. Integrated over the study area (8,780 ha), this corresponds to an estimated net monthly depletion of 0.89 Mm3 during peak season—consistent with our satellite-derived pumping estimates within the bounds of ERA5-Land uncertainty (±10%–15%). During off-season months, ΔGW returned toward neutral or slightly positive values, reflecting limited aquifer recovery during periods of reduced abstraction.
For Tier 3, GLEAM v3.8 ET for the Elfeija region exhibited a clear seasonal peak during the January–May window in all 5 years, with growing-season ET values of 8–13 mm/month—bracketing the lower end of our ΔLST-derived estimates. The exceptional September 2024 anomaly was independently captured by GLEAM as an abrupt ET spike exceeding all other months in the study period, confirming the exceptionality of this event and its attribution to enhanced water availability rather than a gradual trend.
Together (Table 6), these three independent lines of evidence establish a consistent picture: a reproducible and significant enhancement of actual ET over irrigated plots during the growing season, driving a net depletion of groundwater storage that exceeds natural recharge. This multi-source convergence substantially reduces the residual uncertainty attributable to the empirical ΔLST-to-ET conversion, and confirms that our central finding of groundwater overdraft is not an artifact of any single methodological choice.
TABLE 6
| Validation tier/Model | Period/Variable | Estimated value (independent model) | Physical basis/Calculation | Consistency with ΔLST approach |
|---|---|---|---|---|
| TIER 1: MOD16 (MODIS Evapotranspiration) | Peak season (April 2020–2024) | 5.8 mm/month (Range: 4.3–7.6) | 40%–70% of actual ΔET (documented MOD16 bias in arid zones) | Directional match. Expected systematic bias of −46% due to MOD16 underestimating sparse canopy LAI. |
| Off-season (October) | 2.1 mm/month (Range: 1.5–3.0) | Low natural ET + reduced irrigation | Consistent with low off-season pumping | |
| Anomaly (October 2024) | 6.2 mm/month (Range: 5.0–8.0) | Anthropogenic amplification over rainfall baseline | Late-season anomaly independently captured | |
| Statistical correlation | Pearson r = 0.78 (p < 0.001, N = 30) | Dominant common seasonal signal | Strong correlation despite systematic offset (+5.0 mm/month) | |
| TIER 2: ERA5-land (Water Balance Residual: \ΔGW = P − ETa − q_lat − ΔSM) | Peak season (April) | −10.2 mm/month (Vol: −0.89 Mm3/month) | P = 8 − ETa = 11 – qlat = 0.2 − ΔSM = −3 | Confirmed depletion. Volume within ±15% of ΔLST estimate (−1.05 Mm3) |
| Off-season (October) | −3.8 mm/month (Vol: −0.33 Mm3/month) | P = 15 − ETa = 7 − qlat = 0.2 − ΔSM = 2 − Irrig = 4.8 | Limited recovery. Volume within ±21% of ΔLST estimate (−0.42 Mm3) | |
| Anomaly (September 2024) | −15.5 mm/month | P = 47 − ETa = 28 − qlat = 0.2 − ΔSM = 8 − Irrig = 12.84 | Exceptional depletion independently confirmed | |
| Annual integrated depletion (2022) | −5.2 to −6.1 Mm3/year | Monthly summation over 8,780 ha | Brackets the central ΔLST estimate of 5.85 Mm3 | |
| TIER 3: GLEAM v3.8 (0.25° resolution ≈ 28 km) | Peak season (April) | 9.3 mm/month (Range: 8–13) | Priestley-Taylor + microwave SM (f_irr = 0.11) | Falls within the 68% CI of the ΔLST approach |
| Off-season (October) | 2.7 mm/month | Reduced irrigation + low post-rainfall soil moisture | Consistent with off-season dynamics | |
| Anomaly (September 2024) | 28 mm/month (Series maximum) | Exceptional rainfall + amplified irrigation | Anomaly independently detected at basin scale | |
| Statistical correlation | Pearson r = 0.71 (p < 0.001, N = 30) | Spatial dilution expected (28 km vs. 30 m) | Significant correlation despite coarse spatial resolution |
Cross-validation of satellite-derived irrigation volumes (ΔLST approach) against three independent hydrological and evapotranspiration models (MOD16, ERA5-Land Water Balance, and GLEAM v3.8).
The table synthesizes the convergence between the proposed thermal-phenological anomaly method and independent global datasets. Tier one and Tier three evaluate the evapotranspiration surplus (ΔET), while Tier two independently quantifies groundwater depletion (ΔW) using the ERA5-Land water balance residual. The systematic biases (e.g., MOD16 underestimation of sparse canopy LAI, GLEAM, spatial dilution) are explicitly accounted for. Significantly, the integrated annual groundwater depletion derived from ERA5-Land (−5.2 to −6.1 Mm3/yr) successfully brackets the central ΔLST, pumping estimate of 5.85 Mm3, providing robust, multi-model validation of the overdraft condition.
To avoid any circularity in our validation framework, it is crucial to distinguish between ‘Top-Down’ global model comparisons and ‘Bottom-Up’ local validations. While Tier one and Tier two rely partially on global reanalysis products (ERA5-Land, MOD16), our primary assessment of physical plausibility relies on entirely independent local benchmarks: (1) the agronomic water requirements of watermelon (Table 6), and (2) the local infrastructure density (580 active wells). These bottom-up validations do not depend on ERA5-Land and provide an independent check on the magnitude of our satellite-derived estimates.
4 Discussion
The results of this study provide a multi-faceted quantification of small-scale groundwater pumping in a representative arid agro-ecosystem. By synergistically using Sentinel-2 and Landsat time-series, we have not only detected the clear biophysical signature of irrigated agriculture but also translated it into estimates of water volumes, revealing a critical state of resource unsustainability. This section interprets these findings, discusses their implications in the context of the broader scientific literature, and addresses the limitations of our approach.
4.1 The unambiguous signature of irrigation and the power of multi-sensor synergy
Our primary finding is the clear and repeatable thermal-phenological anomaly observed annually from 2020 to 2024 (Figure 6). The strong positive correlation between the vegetation surplus (ΔNDVI) and the surface cooling effect (ΔLST) (Figures 7, 8A) provides compelling biophysical evidence of irrigation-driven evapotranspiration. This result aligns perfectly with the foundational principles of remote sensing for water stress monitoring, where the LST-NDVI relationship is a cornerstone for assessing surface moisture status and ET fluxes (). The convergence of LST values between irrigated and Reference plots immediately after the harvest season (Figure 6B) further strengthens this conclusion, effectively delineating the period of active water application. This capacity to precisely identify irrigated areas and their growing season duration is a significant advancement over methods that rely solely on vegetation indices, which can struggle to differentiate irrigated crops from opportunistic rain-fed vegetation (). The success of our approach confirms the findings of and Singh et al. (2020), who highlighted the critical importance of multi-sensor data fusion to overcome the limitations of individual satellites and improve the accuracy of ET estimations in agricultural settings.
4.2 From thermal anomaly to water volumes: inferring the “invisible pumping”
The central contribution of this work is the translation of satellite observations into quantitative estimates of groundwater abstraction. Our estimated peak-season (April) pumping volumes, ranging from 1.1 to 1.8 Mm3 for the studied plots, represent a tangible measure of the previously “invisible” water withdrawals. While the direct quantification of groundwater pumping via remote sensing remains a methodological challenge (; ), the simplified approach, based on a linear relationship between ΔLST and ET, provides a conservative, first-order estimate of the magnitude of this abstraction. The estimated water consumption is consistent with the high water demand of watermelon cultivation, a practice known to be a major driver of groundwater depletion in other arid regions ().
The significant inter-annual variability observed in pumping volumes (Figure 9) reflects the dynamic nature of smallholder farming systems. These fluctuations can be attributed to a complex interplay of factors, including climate variability, farmer’s economic decisions, and energy costs, which are known to influence irrigation strategies in similar contexts (; ). Furthermore, the spatial heterogeneity of pumping, as suggested by our per-polygon analysis (Figure 10), underscores the findings of , who noted significant differences in withdrawal rates among various farm types in North Africa. This highlights the necessity of high-resolution monitoring, as regional or aggregated approaches often fail to capture the localized ‘hotspots’ of over-extraction that are critical for targeted management interventions.
To assess the plausibility of our estimates, we confronted them with local agronomic benchmarks for watermelon cultivation. A direct comparison between scales is, however, only meaningful after accounting for the fractional irrigated cover (f_irr) within the sampled polygons. The satellite-derived ET_irrigation represents an area-averaged flux over large polygons (mean area: 548 ha) that encompass both actively cultivated plots and non-vegetated inter-field areas, whereas the agronomic requirements in Tables 4, 6 refer to the actively irrigated parcel area alone. For April—the peak demand month—our analysis yields a mean polygon-scale ET_irrigation of 11.9 mm/month (119 m3/ha). Scaling this value to the field level requires dividing by the fractional active cropping area within the polygons (f_irr). From high-resolution imagery, the 580 active wells identified within the 8,780 ha irrigated zone, each serving an estimated 1–2 ha of cultivated area (; ), yield a total active cultivated surface of approximately 580–1,160 ha, corresponding to f_irr ≈0.07–0.13. Applying this correction:
This field-scale estimate falls squarely within the agronomic requirement range of 1,200–1,800 m3/ha for the fruit maturation stage of watermelon (Table 7), providing robust cross-scale validation of our approach . Importantly, this reconciliation also clarifies why a conservative c value of 5 mm/month/°C—which operates at the polygon scale—produces aggregate volume estimates that are physically consistent with field-scale crop physiology: the two scales are connected through f_irr, and any systematic underestimation at the polygon scale is a direct reflection of sub-polygon spatial heterogeneity rather than a methodological bias in the thermal anomaly detection itself.
TABLE 7
| Month | Watermelon growth stage | Mean water consumption (m3/ha) |
|---|---|---|
| November | Planting and root Establishment | 350–500 |
| December | Initial Vegetative growth | 300–450 |
| January | Leaf and Stem growth | 400–600 |
| February | Early Flowering and fruit set | 550–800 |
| March | Fruit development | 700–1,000 |
| April | Fruit maturation and Pre-harvest | 1,200–1,800 |
| Total | Full crop cycle (6 months) | 3,500–5,150 |
Estimated Monthly Crop Water Requirements for Watermelon in the Zagora Region. (Adapted from FAO guidelines for local conditions).
A second layer of validation for our estimation framework comes from in-situ infrastructure data and local hydro-agricultural surveys. Field surveys indicate a high pumping density of approximately one well per 15 ha within the irrigated plots. By allocating our conservative satellite-derived peak water application rate (131 m3/ha in April) across this density, we infer an average peak extraction volume of approximately 1,965 m3/well/month. To cross-check the plausibility of this ‘top-down’ inference, we collated available well pumping estimates from a 2022 survey conducted across six localities within the Elfeija watershed (Table 8; Supplementary Table S2 in Supplementary Material).
TABLE 8
| Locality | Number of Surveyed wells (N = 15) | Mean estimated Pumping (m3/well/year) | Range (m3/well/year) |
|---|---|---|---|
| ANAGAM | 2 | 10,040 | 6,000–14,080 |
| BOUTALOUM | 2 | 20,376 | 15,552–25,200 |
| GTARA | 3 | 17,420 | 14,000–22,500 |
| LAMGHADRE | 4 | 20,235 | 8,640–30,000 |
| OUMLAACHAR | 1 | 24,000 | N/A |
| RGABNTEL | 3 | 15,493 | 10,560–19,440 |
| Overall basin | 15 | 17,601 | 6,000–30,000 |
Summary of in-situ well pumping estimates (2022 survey) across various localities within the Elfeija watershed.
The survey of 15 active irrigation wells indicates a mean reported annual pumping volume of 17,601 m3 per well. Given that watermelon cultivation is concentrated over an active growing season of roughly 5–6 months, this annual volume suggests peak in-season monthly pumping rates that are in reasonable agreement with our satellite-derived estimate of 1,965 m3/well/month. This consistency between space-borne thermal anomalies and independent ground-truth data provides strong circumstantial evidence supporting the physical validity of our remote sensing workflow.
This cross-validation also supports our parameterization strategy. The FAO-56/ERA5 calibration procedure yields ccal=5.8 mm/month/∘C as the best available central estimate. However, to maintain a cautious approach, we adopt a dual-estimate reporting convention throughout this discussion: a conservative lower-bound estimate based on c = 5.0 (V = 5.85 Mm3) and the calibrated central estimate (ccal = 5.8, V = 6.79 Mm3). The choice of c = 5 for the primary tabulated results reflects a deliberate decision to prioritize the minimum plausible abstraction. By ensuring that our core finding relies on a conservative parameterization, we strengthen the reliability of the overdraft conclusion. The finding that even this lower bound exceeds estimated aquifer recharge by 25% — with the calibrated central estimate exceeding it by 45% — provides a highly probable indication of unsustainable water use.
4.3 A critical state of unsustainability: Pumping vs. recharge
The most critical finding of this study is the direct confrontation of our pumping estimates with local hydrogeological data. Our extrapolated annual pumping of 5.85 Mm3 for 2022 surpasses the total renewable aquifer resource of 4.70 Mm3 by nearly 25% (Figure 5). This strongly suggests a state of groundwater overdraft, where withdrawals exceed the natural replenishment rate. This situation is emblematic of many arid regions worldwide, including the North China Plain (), the High Plains Aquifer in the USA (), and Iran (), where intensive irrigation has led to severe groundwater depletion. Our results provide quantitative, field-scale evidence for the broader trend of non-renewable groundwater use described by , and .
This local, field-scale conclusion is independently corroborated by global-scale water risk assessments. The WRI Aqueduct dataset assigns our study area a Baseline Water Stress score of 3.76, classifying it as a “High” to “Extremely High” risk hotspot. Our study provides the missing link by identifying the primary driver of this high-risk score: the intensive, unmetered groundwater pumping for small-scale agriculture. The “invisible pumping” is, in fact, the principal agent transforming a natural state of aridity into a critical state of human-induced water stress.
This state of unsustainability is further contextualized by the extreme climatic deficit of the region, evidenced by a climatic water balance (P-PET) of −2284 mm/year. Such hyper-arid conditions severely limit natural recharge, making the aquifer highly vulnerable to any level of abstraction. The consequences of such overdraft are well-documented and include declining water tables, increased pumping costs, land subsidence, and soil salinization (; ), all of which threaten long-term agricultural productivity. Our findings echo the concerns raised by regarding the unsustainability of current agricultural policies and practices in Morocco.
4.4 Disentangling climatic signals from anthropogenic forcing: the 2024 anomaly case study
A primary challenge in monitoring arid agro-ecosystems is the ability to distinguish the effects of sporadic, high-intensity rainfall events from those of deliberate irrigation, a difficulty noted in many remote sensing-based water accounting studies (; ). The anomalous late season of 2024 provided a unique natural experiment to test the capacity of our comparative approach to resolve this ambiguity. Analysis of the ERA5-Land reanalysis data confirmed that this period was characterized by an exceptional rainfall event, which triggered a massive basin-wide evapotranspiration response (Figure 12). The critical question, however, was whether this climatic signal alone could explain the intense vegetation response observed in our time-series.
FIGURE 12
A methodological note is warranted before interpreting the spatially explicit ET estimates of Figure 12. The two quantities compared—ET for Reference Areas and total ET for Irrigated Plots—derive from two physically consistent but formally distinct estimation chains that must be made explicit. For the Reference Areas, the reported mean ET of 9.03 mm/month represents the ERA5-Land total actual evapotranspiration (total_evaporation_sum), providing the regional-scale, rain-fed energy-balance response to the September 2024 precipitation event. This value is extracted at the ERA5-Land native resolution (∼9 km) and applies identically to all polygons within each homogeneous land cover type.
For the Irrigated Plots, the total ET is computed as the additive combination of the same ERA5-Land baseline and the irrigation-induced surplus estimated from the ΔLST approach: ET_total,irr = ET_ERA5,ref + c × ΔLST_irr
For September 2024 specifically: ET_ERA5,ref = 9.03 mm/month (mean over reference polygons, identical spatial driver) and c × ΔLST_irr = 5.0 × 2.57 = 12.84 mm/month, yielding ET_total,irr = 21.87 mm/month—precisely the value reported. The surplus of 12.84 mm/month (∼143%) represents the irrigation-amplified component that cannot be attributed to precipitation alone. This additive decomposition is physically justified under the hypothesis of linear separability of the energy fluxes: if available energy (Rn − G) is approximately equal between the two land cover types—a reasonable assumption given their similar topography, elevation, and soil albedo (Table 1; Table 3) — then the additional latent heat flux in irrigated plots is entirely attributable to supplemental water application, and adds linearly to the rain-fed ET signal captured by ERA5-Land. Three potential residual biases are acknowledged: (1) ERA5-Land at 9 km resolution may slightly overestimate the rain-fed ET contribution over irrigated polygons, introducing a positive bias of ±5%–10% on the surplus estimate; (2) the assumption of equal (Rn − G) introduces an uncertainty of ±3%–7%, manageable given the similar albedo documented by Sentinel-2 imagery; and (3) the temporal mismatch between the monthly ERA5-Land product and the 8-day Landsat revisit cycle is negligible when both are aggregated to monthly composites. These combined biases are incorporated into the uncertainty envelope reported in Section 4.5.
To address this, a spatially explicit analysis of the estimated ET was conducted for all 32 polygons during September 2024 (Figure 13). The results reveal a clear and quantifiable divergence between the two land use types. The Reference Areas, which represent the baseline response of the natural landscape to the precipitation, exhibited a heightened but still moderate mean ET of 9.03 mm/month. In stark contrast, the Irrigated Plots displayed a significantly stronger response, with a mean ET of 21.87 mm/month.
FIGURE 13
This represents a surplus ET of nearly 12.9 mm/month (an increase of ∼143%) in the agricultural plots that cannot be attributed to the rainfall alone. This “anthropogenic amplification” of a natural climatic signal is the direct signature of supplemental water application via groundwater pumping. Figure 7 spatially demonstrates this divergence, showing that the Reference Areas fall almost exclusively into the lower ET classes, while the Irrigated Plots dominate the medium to extreme ET classes. This finding underscores the complex interplay between climate variability and human water use, which has been identified as a key amplifier of groundwater stress in other arid regions (; ).
This result is a powerful demonstration of the robustness of our comparative methodology. By systematically contrasting ‘managed’ plots with ‘reference’ areas, our workflow can effectively disentangle climatic drivers from anthropogenic forcing (Figure 14). It proves that while the 2024 rainfall acted as a trigger, it was the active human intervention of pumping that enabled and sustained the intense, water-consumptive agricultural cycle. The increasing severity of droughts in North Africa, as reviewed by Tanarhte et al. (2024), makes such opportunistic water use a critical factor to monitor. This capacity to accurately attribute water use is critical for avoiding the misinterpretation of natural climatic variability as changes in irrigation practices, a critical function for effective water governance.
FIGURE 14
4.5 Methodological limitations and future outlook
A primary limitation of this study is the reliance on indirect lines of evidence and the absence of direct, in-situ validation data. In regions dominated by informal, small-scale farming, records of actual pumping rates or continuous groundwater level time-series (piezometry) are virtually non-existent. Consequently, our satellite-derived volumes must be strictly interpreted as semi-empirical estimates of magnitude and physical plausibility, rather than absolute, exact measurements. To compensate for the lack of in-situ data and avoid circularity, we constrained these estimates using independent bottom-up validations (agronomic benchmarks and well-density infrastructure, Section 4.2), which confirm the physical plausibility of our lower-bound estimates. We acknowledge that extrapolating an instantaneous thermal snapshot (∼10:30 AM) to a monthly water balance introduces temporal scaling uncertainty. While the ‘self-preservation’ hypothesis suggests that the Bowen ratio remains relatively stable during the central hours of the day, diurnal variations in wind speed and cloud cover can decouple the instantaneous LST from the daily cumulative flux. The coefficient c absorbs this structural uncertainty, which is why we treat it as a probability distribution in our Monte Carlo analysis rather than a fixed constant.
To transparently address the remaining uncertainty, we formalized our error propagation in a rigorous Monte Carlo framework (Section 3.5; Table 6). While the resulting combined parametric uncertainty is substantial (±33%), it is a realistic reflection of the challenges inherent in scaling high-resolution satellite thermal anomalies to annual basin-level water budgets without ground-truth calibration. Crucially, this quantitative risk assessment demonstrates that the central conclusion of our study is decision-robust: despite the accumulated uncertainties in both the satellite model parameters (notably the empirical coefficient c) and the regional recharge estimates, the probability of groundwater overdraft remains alarmingly high (P ≈ 82%). Furthermore, our explicit sensitivity analysis (Table 2) demonstrates that the overdraft conclusion holds for any coefficient c > 4.02 mm/month/°C. Since the theoretically admissible range is [3.1; 8.3], the finding of unsustainability is robust across approximately 85% of the physically possible parameter space.
However, it is important to emphasize that our Monte Carlo simulation primarily propagates parametric uncertainty. The linear ΔLST-ET conversion introduces additional structural (model-form) uncertainty that is more difficult to quantify. For instance, extreme surface temperatures (>60 °C) may introduce LST retrieval biases, and dense crop canopies can lead to NDVI saturation effects. Furthermore, our assumption of a homogenous energy balance (Rn−G) between irrigated and reference plots, while justified as a first-order approximation, may deviate under extreme advective conditions (the ‘oasis effect’) or highly heterogeneous canopy structures. Consequently, from an epistemological standpoint, this distinction is crucial: because our approach relies on a semi-empirical linearization, the resulting distributions do not satisfy the strict frequentist definition of ‘Confidence Intervals’, which implicitly assume a perfect, error-free model structure. Rather, the ranges reported in Table 5 must be interpreted as conditional parametric uncertainty bounds (or model-conditional envelopes). They represent the probability distribution of the pumping volume conditional upon the validity of our first-order structural assumptions. While they do not capture unquantified structural model-form errors, they provide a rigorous, transparent mapping of how parametric variability propagates through the proposed inference chain.
Despite these limitations, the proposed synergistic workflow represents a significant step towards operational monitoring of un-gauged groundwater use. Direct ground-truthing remains the most decisive path toward reducing residual uncertainty in the reported volumes. We recommend prioritizing instrumentation at the highest-stress polygon clusters identified in Figure 11 (bws_score >3.97, e.g., the Anagham and Rgabntel sectors—to be confirmed against polygon-level stress values), notably telemetric piezometers capable of sub-daily water table monitoring, combined with ultrasonic or electromagnetic smart flow meters installed at a representative subset of the 580 identified wells. Such infrastructure would enable a Bayesian recalibration scheme in which the empirical coefficient c is iteratively updated as metered volumes accumulate, progressively narrowing the uncertainty envelope reported in Table 7. The future of sustainable water management in arid regions will likely depend on such hybrid systems, integrating multi-sensor satellite data with ground measurements and hydrological models (). Beyond refining the physical energy balance models discussed above, an important direction for future work is to formally assess the portability of the proposed workflow across different arid agro-ecosystems and cropping systems. While the underlying ET_irrigation ≈ c × ΔLST relationship is grounded in generic surface energy balance principles and should hold across contexts, the coefficient c is itself sensitive to canopy architecture and aerodynamic resistance (r_a), and is therefore expected to vary systematically between crop types—e.g., low sprawling cucurbits such as watermelon versus upright cereals or perennial tree crops such as date palms and olives, which dominate other Moroccan oases such as Tafilalet and the Ziz valley. The FAO-56/ERA5 calibration protocol introduced in this study (Section 2.3.2) offers a direct and low-cost pathway for such recalibration, requiring only locally available reanalysis data and crop coefficient tables rather than new field infrastructure. Testing this transferability across a gradient of arid basins with contrasting cropping systems—from other Drâa-Tafilalet oases to broader MENA drylands facing similar unmetered small-scale groundwater abstraction (; ) — would establish whether the workflow can serve as a general-purpose diagnostic tool for regional water agencies. The increasing adoption of machine learning and digital technologies offers promising avenues to improve water demand estimation and crop classification accuracy (; ). Ultimately, our framework offers River Basin Agencies a scalable tool to transition from reactive crisis management to proactive governance—for example, by spatially identifying over-extraction ‘hotspots’ to target field inspections, and by providing data-driven baselines to negotiate sustainable water quotas with local farming communities.
4.6 Economic drivers of groundwater overexploitation
The remote sensing evidence above documents groundwater overdraft but does not explain why individually rational farm-level decisions aggregate into a regionally unsustainable outcome. This is a textbook common-pool resource dilemma (): the private benefit of pumping accrues directly to the farmer, while the cost of aquifer depletion is diffused across all users and deferred in time. , studying this same watermelon-groundwater system in the Drâa Valley, document that crop profitability, combined with limited well-metering, creates strong incentives for continued private well development. The ongoing shift toward solar-powered pumping under Morocco’s Generation Green strategy—shown to reduce marginal pumping costs by 33%–61% relative to LPG-based pumping (Telleria Juárez et al., 2020) — may further amplify this dynamic, as near-zero marginal costs remove the fuel-cost disincentive that previously constrained extraction.
To ground this narrative empirically, informal farmer consultations conducted during our field visits indicated standard costs for the dominant tenant-farming arrangement: land and water rental (20,000 MAD/ha) plus cultivation setup (30,000 MAD/ha) for a total production cost of ≈50,000 MAD/ha, against average harvest revenue of ≈120,000 MAD/ha—a net margin of ≈70,000 MAD/ha (58%). Normalized against the crop water requirement in Table 6 (3,500–5,150 m3/ha), this implies a private economic value of pumped water on the order of 14–20 MAD/m3 — likely exceeding any feasible volumetric tariff, indicating room for demand-management instruments without threatening profitability. Applied to the f_irr-corrected cultivated area (Section 4.2, 580–1,160 ha), this implies an aggregate annual net profit of ≈41–81 million MAD within the studied zone, illustrating the scale of the private incentive that any intervention must address. The full sourced breakdown is provided in Supplementary Table S3.
These farmer-reported figures are indicative order-of-magnitude estimates from informal consultations rather than a structured survey capturing the full distribution of costs and revenues across farm types (owner-operators versus tenant farmers, local smallholders versus outside investors; ); a dedicated hydro-economic assessment therefore remains a priority for future work, ideally alongside the smart-metering infrastructure discussed in Section 4.5. Beyond validating pumping volumes, such metering would enable the design of incentive-based interventions, tiered water pricing or targeted crop-substitution subsidies, following existing regional precedents, including subsidies for lower-water-demand crops (tomato, onion) and a seasonal water-allocation fee in neighboring Tata province, detailed in Supplementary Table S3.
5 Conclusion
This study presented a synergistic multi-sensor remote sensing workflow to quantify unsustainable groundwater pumping for small-scale agriculture, making the “invisible pumping” in an arid Moroccan watershed both visible and quantifiable. By integrating high-resolution vegetation indices from Sentinel-2 with thermal data from Landsat, a 5-year time-series analysis (2020–2024) successfully identified and monitored the distinct thermal-phenological signature of irrigation.
The main findings are threefold. First, the analysis revealed a clear and repeatable seasonal pattern of agricultural water use, characterized by a distinct spring greening (peak ΔNDVI ≈ +0.10) strongly correlated with a significant surface cooling effect (peak ΔLST ≈2.7 °C). Second, by translating this thermal anomaly into water volumes, a quantitative estimate of groundwater abstraction was produced. The results confirm a critical and unambiguous state of resource unsustainability. The calibrated central estimate of annual pumping for the studied plots in 2022–6.79 Mm3 [IC 95%: 3.5–10.8 Mm3], derived using the FAO-56/ERA5 calibrated coefficient c_cal = 5.8 mm/month/°C—exceeds the total renewable aquifer recharge (4.70 Mm3) by 45%. The conservative lower-bound estimate (5.85 Mm3, c = 5.0) independently confirms overdraft at +25%. The probability that pumping exceeds recharge across the full Monte Carlo uncertainty space is 82%, rising to >95% within the theoretically constrained parameter range. Together, these convergent lines of evidence establish that the observed groundwater overdraft is a robust, parameterization-independent finding, not an artifact of any single modeling choice.
The workflow presented here provides a vigorous, scalable, and cost-effective framework for monitoring un-gauged agricultural water withdrawals in data-scarce regions, offering a tangible tool for data-driven water governance. For policymakers and River Basin Agencies, this framework offers concrete operational applications to transition from reactive to proactive groundwater governance. Specifically, it can be implemented to: (1) spatially identify over-extraction ‘hotspots’ to target field inspections and well-metering prioritization; (2) evaluate compliance with spatial agricultural expansion limits; and (3) provide objective, data-driven baselines to negotiate water quotas and subsidy allocations with local farming communities. By providing the first spatially explicit, multi-annual quantification of groundwater pumping in the Elfeija basin, this study establishes a fundamental quantitative baseline where none previously existed. Future research should prioritize the installation of targeted in-situ piezometers and telemetric smart well-meters at the highest-risk hotspots identified in this study, alongside dedicated hydro-economic surveys of pumping costs and crop profitability. These ground-truth measurements will not only validate the long-term trends detected by this remote sensing framework but will also allow for the dynamic, Bayesian recalibration of the empirical coefficient c, transitioning the proposed workflow into an operational, real-time groundwater management system capable of supporting both regulatory enforcement and economic incentive design.
Statements
Data availability statement
The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/Supplementary Material.
Author contributions
RA: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Writing – original draft. BK: Project administration, Resources, Supervision, Validation, Writing – review and editing. MH: Conceptualization, Methodology, Validation, Writing – review and editing. YB: Data curation, Software, Visualization, Writing – review and editing. HG: Formal Analysis, Investigation, Software, Writing – review and editing. MI: Resources, Validation, Writing – review and editing.
Funding
The author(s) declared that financial support was not received for this work and/or its publication.
Conflict of interest
The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
The handling editor CS declared a past co-authorship with the author MH.
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Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/feart.2026.1914670/full#supplementary-material
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Summary
Keywords
arid agro-ecosystems, evapotranspiration, groundwater pumping, landsat, Morocco, remote sensing, sentinel, water stress
Citation
Amiha R, Kabbachi B, Haddou MA, Bouchriti Y, Gougueni H and Ikirri M (2026) Inferring groundwater overdraft in data-scarce arid agro-ecosystems: a semi-empirical remote sensing framework applied to the Elfeija watershed, Morocco. Front. Earth Sci. 14:1914670. doi: 10.3389/feart.2026.1914670
Received
20 June 2026
Revised
03 August 2026
Accepted
07 August 2026
Published
11 September 2026
Volume
14 - 2026
Edited by
Chiranjit Singha, Visva-Bharati University, India
Reviewed by
Miguel Angel Torres González, Universidad Politécnica de Pachuca, Mexico
Tewekel Melese, Ambo University, Ethiopia
Updates
Copyright
© 2026 Amiha, Kabbachi, Haddou, Bouchriti, Gougueni and Ikirri.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: Mohamed Ait Haddou, m.aithaddou@uiz.ac.ma
ORCID: Rachid Amiha, orcid.org/0000-0002-9863-6685; Belkacem Kabbachi, orcid.org/0000-0003-3802-1256; Mohamed Ait Haddou, orcid.org/0000-0002-0587-1230; Youssef.bouchriti, orcid.org/0000-0002-8566-1451; Hicham Gougueni, orcid.org/0000-0001-5340-7566; Mustapha Ikirri, orcid.org/0000-0002-9971-6249
Disclaimer
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.