Groundwater Recharge in Crisis: Analyzing the Impact of Urban Growth on Monterrey’s Aquifer Health in the Face of the Rio Grande’s Current Conditions
Abstract
1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. Regional Geology, Stratigraphy, and Hydrogeological Setting
2.3. AHP Procedure
- Utilization of Saaty’s AHP method [56]: The AHP method was applied through the construction of pairwise comparison matrices (denoted as ), where = 1 and the off-diagonal elements are reciprocals ( = 1/). The weighting factors for the classification criteria and the resulting sub-criteria were computed using the eigenvector (), derived from the maximum absolute eigenvalue () of the pairwise comparison matrix [75] as shown in Equation (1):
- 3.
- Normalized weights (NW): The normalized weight for each classification criterion is denoted as wi (i = 1, 2, …, n).
- 4.
- Sensitivity Analysis: A sensitivity analysis was conducted to assess the robustness of the results and validate the consistency of the pairwise comparisons using the following mathematical expressions:
- The Consistency Index () evaluates the degree of consistency in the pairwise comparison matrix, calculated using Equation (2):where denotes the consistency index, λmax is the maximum or principal eigenvalue of the pairwise comparison matrix, and n is the order of the matrix.
- The Consistency Ratio () evaluates the consistency of the judgments of Saaty’s scale using Equation (3):where is the Consistency Ratio, and the consistency index of a randomly generated pairwise comparison matrix for different values of , as shown in Table 1:
- 5.
- Assigning weights and Normalized Weights for thematic layers: Weights were assigned to each thematic map (geology, structural lineaments, etc.), and the NW for each pixel (30 m × 30 m) in the thematic maps for both 1990 and 2022 were calculated (see below and Section S2, Supplementary Materials).
- 6.
- Spatial analysis using GIS: GIS spatial analysis tools were used to overlay the thematic maps and calculate the Groundwater Potential Index (GWPI) for each pixel, using Equation (4):where GWPI refers to the Groundwater Potential Index, Geo to geology, LD to lineaments, GM to the geomorphology of terrain, SP to slope, DD to drainage density, SL to soil type, LULC to land use and land cover, and PPT to precipitation (rainfall). The subscripts w and wi represent the weights and the NW of the thematic layers, respectively. This process allowed the assignment of groundwater potential to each pixel.
- 7.
- Delineation of Recharge Zones: Based on the range of calculated GWPI values (Equation (4)), groundwater recharge zones were classified into five potential categories: very high (>25), high (20–25), moderate (15–20), low (10–15), and very low (<10).
- 8.
- Validation strategies: Two validation strategies were developed:
- Comparing the geology reported in the recharge zones.
- Comparing available literature data related to potentiometric levels, recharge zones, and discharge zones.
- 9.
- Layer-removal sensitivity analysis using SI, Kappa, Sobol, RMSE: This approach evaluated robustness by sequentially removing thematic layers and quantifying spatial agreement, variance contribution, and pixel-wise deviations.
- 10.
- Delineation of Vulnerable Zones: Vulnerable zones were delineated within a 5 km buffer, which was used as a projection of urban growth over the 32-year study period (1990–2022) [77].
2.4. Selection and Weighting of Groundwater Recharge Influencing Factors
- Geology: Thirty-two lithological units were grouped into six classes according to aquifer recharge potential, ranging from very favorable to slightly favorable; Cretaceous carbonate sequences show the highest recharge potential, followed by Quaternary sediments, whereas shales and clay-rich formations exhibit the lowest potential.
- Structural lineaments were classified into eight classes, depending on the type of lineament and its extent, with regional faults being the most important for recharge and areas with no structural lineaments being the least relevant for recharge.
- Terrain slope was classified into five classes, with slopes below 5% considered the most favorable for groundwater recharge, whereas slopes exceeding 45% were regarded as having negligible relevance to the recharge process.
- Geomorphology, assigned a lower (fourth-level) importance in the analysis, was derived from the INEGI base map and classified into eight classes, with karst systems being the most favorable for recharge and lacustrine terrain the least favorable.
- Precipitation was classified into five classes, with the highest weight assigned to areas receiving more than 1000 mm of rainfall and the lowest weight to areas with less than 400 mm, reflecting their relative importance for groundwater recharge.
- Drainage density was classified into seven classes, with the highest weight assigned to areas with densities below 1 km/km2 and the lowest weight to areas exceeding 50 km/km2, indicating minimal favorability for groundwater recharge.
- NDVI was classified into five classes, with the highest weight and greatest recharge favorability assigned to areas with NDVI values greater than 0.4, while areas with NDVI values below 0.1 were considered unfavorable for groundwater recharge.
- Soil type was classified into four classes (A, B, C, and D) according to the USDA Hydrologic Soil Groups classification, with Group A considered highly favorable for groundwater recharge and Group D the least favorable.
2.5. Sensitivity Analysis
- (i).
- Similarity Index (SI): Measures pixel-wise spatial agreement between the base map and each removal scenario [89]. Values range from 0–100%, with higher values indicating greater similarity and lower sensitivity. The SI was computed using Equation (5).
- (ii).
- Cohen’s Kappa coefficient (κ): Evaluates categorical agreement between recharge potential classes, accounting for chance [90]. Values <0.4 indicate poor agreement (high sensitivity), while values >0.8 indicate almost perfect agreement. This coefficient is calculated using the following Equation (6):where Po is the proportion of observed agreement and Pe is the proportion of agreement expected by chance. This index is particularly valuable in spatial analyses because it considers the categorical structure of recharge classes rather than merely quantitative similarity [91].
- (iii).
- Sobol Index (S): A variance-based global sensitivity measure that quantifies the contribution of each input layer to total model variance [92]. It is approximated using the following Equation (7):where Var(B − Rᵢ) is the variance of pixel-wise differences between the base and removal scenarios, and Var(B) is the total variance of the base map. This metric provides a variance-based quantification of each layer’s contribution to overall model uncertainty [93].
- (iv).
- Root Mean Square Error (RMSE): Quantifies the magnitude of pixel-wise deviations between maps [94], as shown in Equation (8):where K is the total number of pixels in the map or dataset, Bk the value of the k-th pixel in the predicted map or model output, Rk the value of the k-th pixel in the reference map or ground truth. Larger RMSE values indicate greater deviation from the baseline model, reflecting a stronger influence of the re-moved layer on model output.
3. Results and Discussion
3.1. Potential Groundwater Recharge Zones
3.2. Method Validation
3.3. Sensitivity Analysis
3.4. Changes Between 1990 and 2022
3.5. Vulnerable Zones in the MMA
3.6. Limitations and Future Work
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AHP | Analytic Hierarchy Process |
| CI | Consistency Index |
| CONAGUA | National Water Commission |
| CONAPO | National Population Council |
| CR | Consistency Ratio |
| GIS | Geographic Information System |
| GWPI | Groundwater Potential Index |
| GWPS | Groundwater Potential Sites |
| GWRZ | Groundwater Recharge Zones |
| INEGI | National Institute of Statistics and Geography |
| LULC | Land Use and Land Cover |
| MCE | Multi-Criteria Evaluation |
| MMA | Monterrey Metropolitan Area |
| NDVI | Normalized Difference Vegetation Index |
| REPDA | Public Register of Water Rights |
| RI | Random Consistency Index |
| RMSE | Root Mean Square Error |
| RS | Remote Sensing |
| SADM | Monterrey Water Utility |
| SGM | Mexican Geological Service |
| USEPA | United States Environmental Protection Agency |
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| n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| RI | 0.00 | 0.00 | 0.58 | 0.90 | 1.12 | 1.24 | 1.32 | 1.41 | 1.45 | 1.49 |
| Thematic Map | Scale/Resolution | Type of Document | Source/Reference |
|---|---|---|---|
| Geology | 1:250,000 | Shapefile | INEGI [79], SGM [69] |
| Structural Lineaments | 1:250,000 | Shapefile & Images | SGM [69,80], Padilla y Sánchez [70], Giles y Lawton [81] |
| Terrain Slope | 30 m | Digital Elevation Model | USGS [82] |
| Geomorphology | 1:50,000 | Shapefile. Geomorphological Elements | INEGI [79] |
| Precipitation | 30 m | Data bases | CONAGUA [83], CHIRPS [84] |
| Drainage Density | 1:50,000 | Shapefile. Drainage density | INEGI [79] |
| NDVI | 30 m | Raster file | NASA [85] |
| Soil Type | 1:250,000 | Shapefile | INEGI [79] |
| Area 1990 | Area 2022 | Area Difference | ||||
|---|---|---|---|---|---|---|
| km2 | % | km2 | % | km2 | % | |
| Very Low | 1877.1 | 10.9 | 2898.4 | 16.8 | 1021.3 | 54.4 |
| Low | 5487.3 | 31.9 | 5343.4 | 31.1 | −143.9 | −2.6 |
| Moderate | 5905.2 | 34.3 | 5079.7 | 29.5 | −825.5 | −14.0 |
| High | 3219.5 | 18.7 | 3268 | 19.0 | 48.5 | 1.5 |
| Very High | 719.9 | 4.2 | 619.5 | 3.6 | −100.4 | −13.9 |
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Aceves-Padilla, D.; Ledesma-Ruiz, R.; Rodríguez, L.; Nuñez-Flores, D.K.; Vázquez del Carmen, M.M.; Sánchez, R.; Mahlknecht, J. Groundwater Recharge in Crisis: Analyzing the Impact of Urban Growth on Monterrey’s Aquifer Health in the Face of the Rio Grande’s Current Conditions. Water 2026, 18, 616. https://doi.org/10.3390/w18050616
Aceves-Padilla D, Ledesma-Ruiz R, Rodríguez L, Nuñez-Flores DK, Vázquez del Carmen MM, Sánchez R, Mahlknecht J. Groundwater Recharge in Crisis: Analyzing the Impact of Urban Growth on Monterrey’s Aquifer Health in the Face of the Rio Grande’s Current Conditions. Water. 2026; 18(5):616. https://doi.org/10.3390/w18050616
Chicago/Turabian StyleAceves-Padilla, Danael, Rogelio Ledesma-Ruiz, Laura Rodríguez, Daisy K. Nuñez-Flores, Margarito M. Vázquez del Carmen, Rosario Sánchez, and Jürgen Mahlknecht. 2026. "Groundwater Recharge in Crisis: Analyzing the Impact of Urban Growth on Monterrey’s Aquifer Health in the Face of the Rio Grande’s Current Conditions" Water 18, no. 5: 616. https://doi.org/10.3390/w18050616
APA StyleAceves-Padilla, D., Ledesma-Ruiz, R., Rodríguez, L., Nuñez-Flores, D. K., Vázquez del Carmen, M. M., Sánchez, R., & Mahlknecht, J. (2026). Groundwater Recharge in Crisis: Analyzing the Impact of Urban Growth on Monterrey’s Aquifer Health in the Face of the Rio Grande’s Current Conditions. Water, 18(5), 616. https://doi.org/10.3390/w18050616

