An Integrated Framework to Assess the Environmental and Economic Impact of Fertilizer Restrictions in a Nitrate-Contaminated Aquifer
Abstract
:1. Introduction
2. Materials and Methods
2.1. Study Area
2.2. General Methodological Framework
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- Step 1: Building a nitrate fate and transport model to study the spatial and temporal variations in nitrate concentrations under various scenarios, i.e., do-nothing and fertilization reduction scenarios, as well as to obtain the nitrate values at water-supply wells, for each applied scenario.
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- Step 2: Combining crop production functions with agro-economic data to estimate expected crop-yield losses under different fertilization reduction scenarios, while conducting an economic analysis based on cropping patterns and agro-economic data to calculate the agricultural income for both the do-nothing and fertilization reduction scenarios. The difference in agricultural income between the do-nothing scenario and any scenarios involving fertilization restrictions (fertilization reduction scenarios) is considered as the potential income losses associated with the applied scenario.
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- Step 3: Performing a multi-criteria decision analysis subject to a set of criteria derived from both the environmental (from Step 1) and economic (from Step 2) assessment in order to prioritize the proposed fertilization reduction options and eventually select the most suitable that best meets the predefined decision criteria.
2.3. Numerical Modeling
2.3.1. Overview of the Existing Groundwater Model
- Together, the various successive permeable stratigraphic layers form a single, unified aquifer system with a uniform thickness of 250 m, thus resulting in a vertically integrated two-dimensional areal model comprising one layer in the z-direction;
- The aquifer’s eastern and western boundaries are treated as no-flow boundaries based on the overall arrangement of flow lines on a regional scale [46], whereas the southern and northern boundaries are assigned as constant head boundary (CHB, h = 0 m) and general head boundary (GHB, h = 150 m), respectively (Figure 3a). Regarding the southern boundary, the hydraulic head values remain constant over time, while concerning the northern boundary, the hydraulic head values gradually decrease over time following the overall decline in groundwater levels observed in the region;
- The study area is divided into six distinct hydro-geological zones (HP zones, Figure 3a) based on a number of pumping tests carried out in individual wells [46]; each of these zones is assigned a different value with regard to various aquifer parameters, such as hydraulic conductivity (K), specific storage (SS), specific yield (Sy) and effective porosity (ne). However, longitudinal and transverse dispersivities (αL, αT) are considered to be constant throughout the region, resulting in the use of a uniform value across the entire model domain. In Table 2, the values of the aforementioned aquifer parameters, as determined through the model calibration/validation procedure, are presented. As already mentioned, especially regarding the transport parameters, i.e., effective porosity and dispersivities, the same values are also used in the case of the nitrate fate and transport model developed in the current study;
- The aquifer is primarily replenished by rainfall, irrigation return flows and losses from water supply and wastewater networks, with additional recharge taking place at the southern and northern boundaries; particularly concerning the first group of aquifer recharge sources, the study area is divided into several recharge zones (Figure 3b), taking into account factors such as local hydrological conditions, land use types and administrative boundaries within the region;
- The groundwater is abstracted from numerous wells to meet irrigation, domestic and livestock needs (Figure 4a); the pumping rates of the wells vary across municipal districts and specific water uses, under the assumption that each district’s domestic and livestock needs are met by the same wells;
- The numerical model’s spatial discretization involves the construction of a square grid in the horizontal plane, where cells are uniformly sized (100-m side) across the model domain;
- The numerical model’s temporal discretization includes: (a) month-long stress periods accounting for the aquifer recharge and withdrawal regimes, (b) a pumping (1 May–30 September, 153 days) and a non-pumping (1 October–30 April, 212 days) period within each year in an effort to incorporate diverse temporal patterns regarding both groundwater abstraction for irrigation and irrigation return flows and (c) a 13-year simulation period (2001–2014) for calibration and validation purposes;
- The calibration of the flow model was performed using 13 observation wells monitored during November 2002 and 12 observation wells monitored during April 2003 [46] (Mean Error = −0.176 m, Mean Absolute Error = 1.502 m, Root Mean Square Error = 1.735 m and Mean Relative Error = 1.02%), and the validation was performed using 12 observation wells monitored during November 2010 [48] (Mean Error = −0.478 m, Mean Absolute Error = 1.822 m, Root Mean Square Error = 2.059 m and Mean Relative Error = 1.36%). The transport model was calibrated from 2011 to 2014 using chloride concentration measurements from 6 observation wells [48] (Mean Error = −0.10 mg/L, Mean Absolute Error = 6.93 mg/L, Root Mean Square Error = 9.29 mg/L and Mean Relative Error = 3.36%); and,
- Low hydraulic head values (in relation to the mean sea level) are observed especially in the central part of the Nea Moudania aquifer due to the extensive usage of groundwater within that area (approximately 75% of the total water abstractions originating from this location). As a result, reversal of the natural groundwater flow occurs, leading to the influx of seawater along the coastline (southern boundary) and towards the interior of the aquifer (Figure 4b).
2.3.2. Nitrate Fate and Transport Model Development
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- Fertilizers: For the different types of crops spotted in the study area, nitrogen loading from agricultural fertilizers was calculated by multiplying the suggested fertilizer application rate for each crop (kg/ha), as listed in Table 3, with the actual fertilized area, while taking into consideration the fertilizer application timing for each crop, i.e., the specific months in which fertilizers are generally applied.
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- Irrigation water: Nitrogen loading from irrigation water was calculated by multiplying the mean concentration of nitrates (mg/L) in groundwater, as obtained by previous research conducted in the study area [46], with the amount of water used for irrigation, after converting nitrate (NO3) concentrations into nitrate–nitrogen (NO3-N) concentrations.
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- Septic systems: Nitrogen loading from septic systems was calculated by multiplying the corresponding nitrogen production per capita (0.012 kg/d) [54] with the actual population (permanent and seasonal).
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- Wastewater network: Nitrogen loading from wastewater networks was calculated by multiplying the corresponding nitrogen concentration in wastewater (35 mg/L) [58] with the estimated water leakage in the network.
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- Livestock: For the different types of dairy animals detected in the study area, nitrogen loading from livestock was calculated by multiplying the corresponding nitrogen production per head for each animal type (kg/d), as presented in Table 4, with the actual number of animals.
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- Atmospheric deposition (wet): Nitrogen loading from precipitation was calculated by multiplying the mean concentration of nitrogen in precipitation (3.0 mg/L) [60] with the amount of water from precipitation (after subtracting the runoff volumes).
2.3.3. Nitrate Fate and Transport Model Calibration
2.3.4. Simulation of Fertilizer Application Scenarios
2.4. Economic Analysis
2.5. Decision Analysis
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- Nitrate mass: The nitrate buildup in the aquifer under study is directly derived from the numerical model, as it is a key output of the model.
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- Population: The population exposed to poor-quality water refers to the total number of residents in the region supplied with water containing nitrate concentrations exceeding 25 mg/L. To determine this population for each settlement in the study area, the nitrate concentration in the water provided from the corresponding water-supply wells (see Table 1) was found. For this task, the nitrate concentration at each corresponding well (critical receptor) in every settlement was obtained from the numerical model, and then the mean concentration value (considering blended water) was computed, given that all wells in each settlement have the same pumping rate.
- -
- Cost: The net cost is calculated through the economic analysis as the difference in agricultural income between the do-nothing scenario and any fertilization reduction scenarios.
- -
- CPCR: The CPCR criterion is computed by applying the following equation:where COSTi is the net cost incurred from the ith scenario as previously defined, and ACo and ACi are the average nitrate concentrations at the critical receptors (water-supply wells) corresponding to the do-nothing and the ith scenario, respectively.
3. Results and Discussion
3.1. Numerical Modeling
3.1.1. Model Calibration Results
3.1.2. Model Application Results
3.2. Economic Analysis
3.3. Decision Analysis
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Settlements | Total Population | Water-Supply Wells | Wastewater Sources |
---|---|---|---|
Nea Moudania | 25,042 | 10 | Wastewater network |
Nea Flogita | 4595 | 7 | Septic systems |
Dionysiou | 13,152 | 6 | Septic systems |
Paralia Dionysiou | Wastewater network | ||
Portaria | 2983 | 5 | Septic systems |
Zografou | 903 | 2 | Septic systems |
Ag. Panteleimon | 762 | 3 | Septic systems |
Simantra | 4931 | 6 | Septic systems |
Zone | Hydraulic Conductivity (m/day) | Effective Porosity/Specific Yield | Specific Storage (m−1) | Longitudinal Dispersivity (m) | Transverse Dispersivity (m) |
---|---|---|---|---|---|
1 | 0.575 | 0.150 | 0.00004 | 75 | 7.5 |
2 | 0.514 | 0.125 | 0.00012 | ||
3 | 0.325 | 0.145 | 0.00019 | ||
4 | 0.154 | 0.070 | 0.00015 | ||
5 | 0.114 | 0.050 | 0.00006 | ||
6 | 0.344 | 0.140 | 0.00020 |
Trees | Grains | Vegetables | Vineyards | ||||
---|---|---|---|---|---|---|---|
Olives | Apricots | Other | Wheat | Other | Tomatoes | Other | |
750 | 150 | 200 | 150 | 100 | 350 | 150 | 150 |
Cattle | Sheep | Goats | Pigs | Poultry |
---|---|---|---|---|
0.2250 | 0.0125 | 0.0135 | 0.0520 | 0.0011 |
Fertilizers | Irrigation Water | Wastewater Sources | Livestock | Atmospheric Deposition |
---|---|---|---|---|
0.30–0.50 | 0.25 | 0.68 | 0.30 | 0.25 |
Metrics | 2014 | 2034 | |||||
---|---|---|---|---|---|---|---|
S0 | S1 | S2 | S3 | S4 | S5 | ||
Min | 1.2 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 | 0.1 |
Max | 31.8 | 54.6 | 51.9 | 49.2 | 46.5 | 44.0 | 43.0 |
Mean | 16.5 | 24.5 | 23.5 | 22.6 | 21.6 | 20.7 | 19.7 |
Settlements | S1 | S2 | S3 | S4 | S5 |
---|---|---|---|---|---|
Nea Moudania | 26.6 | 25.7 | 24.8 | 23.9 | 23.0 |
Nea Flogita | 24.2 | 23.8 | 23.4 | 23.1 | 22.7 |
Dionysiou | 25.4 | 24.8 | 23.8 | 22.8 | 21.8 |
Paralia Dionysiou | |||||
Portaria | 25.6 | 24.5 | 23.5 | 22.4 | 21.3 |
Zografou | 41.4 | 39.5 | 37.5 | 35.5 | 33.6 |
Ag. Panteleimon | 13.6 | 13.1 | 12.6 | 12.1 | 11.5 |
Simantra | 20.3 | 20.0 | 19.6 | 19.3 | 19.0 |
Agro-Economic Data | Wheat | Olives | Apricots |
---|---|---|---|
Suggested rate of nitrogen (kg/ha) | 150 | 750 | 150 |
Cost of unit of nitrogen (EUR/kg) | 1.375 | 1.375 | 1.375 |
Price of unit of crop (EUR/kg) | 0.36 | 1.20 | 1.10 |
Expected yield (kg/ha) | 3500 | 15,000 | 30,000 |
Expected yield with no nitrogen (kg/ha) | 1750 | 7500 | 15,000 |
Scenarios | Wheat | Olives | Apricots |
---|---|---|---|
S1 | 69 (2.0%) | 152 (1.0%) | 167 (0.6%) |
S2 | 162 (4.6%) | 438 (2.9%) | 630 (2.1%) |
S3 | 278 (7.9%) | 855 (5.7%) | 1389 (4.6%) |
S4 | 418 (11.9%) | 1406 (9.4%) | 2445 (8.2%) |
S5 | 581 (16.6%) | 2090 (13.9%) | 3797 (12.7%) |
Wheat | Olives | Apricots | |
---|---|---|---|
a. Area (ha) | 4190.7 | 2502.0 | 595.6 |
b. Crop yield (kg/ha) | 3500 | 15,000 | 30,000 |
c. Total crop yield: (a*b) (kg) | 14,667,450 | 37,530,000 | 17,868,000 |
d. Selling price (EUR/kg) | 0.36 | 1.20 | 1.10 |
A. REVENUE: (c*d) (EUR) | 5,280,282 | 45,036,000 | 19,654,800 |
I. TOTAL REVENUE: (A) (EUR) | 5,280,282 | 45,036,000 | 19,654,800 |
e. Labor costs (EUR/ha) | 300 | 1300 | 1600 |
f. Seed expenses (EUR/ha) | 175 | 0.0 | 0.0 |
g. Nitrogen-rich fertilizers costs (EUR/ha) | 206 | 1031 | 206 |
h. Pesticides costs (EUR/ha) | 70 | 480 | 1600 |
i. Materials expenses: (f+g+h) (EUR/ha) | 451 | 1511 | 1806 |
B. TOTAL LABOR COSTS: (e*a) (EUR) | 1,257,210 | 3,252,600 | 952,960 |
C. TOTAL MATERIALS EXPENSES: (i*a) (EUR) | 1,891,053 | 3,781,148 | 1,075,803 |
D. OTHER COSTS: 5%*(A) (EUR) | 264,014 | 2,251,800 | 982,740 |
II. TOTAL COSTS: (B+C+D) (EUR) | 3,412,277 | 9,285,548 | 3,011,503 |
III. INCOME: (I–II) (EUR) | 1,868,005 | 35,750,453 | 16,643,298 |
Scenarios | Wheat | Olives | Apricots | Total |
---|---|---|---|---|
S1 | 12,459 | 381,943 | 91,657 | 486,059 |
S2 | 59,315 | 1,146,091 | 367,545 | 1,572,951 |
S3 | 139,135 | 2,283,888 | 827,664 | 3,250,687 |
S4 | 253,353 | 3,803,891 | 1,472,636 | 5,529,880 |
S5 | 400,535 | 5,703,246 | 2,301,839 | 8,405,620 |
Criteria | Nitrate Mass | Population | Cost | CPCR | Weights |
---|---|---|---|---|---|
Nitrate mass | 1.000 | 0.250 | 0.750 | 0.500 | 0.12 |
Population | 4.000 | 1.000 | 3.000 | 2.000 | 0.48 |
Cost | 1.333 | 0.333 | 1.000 | 0.667 | 0.16 |
CPCR | 2.000 | 0.500 | 1.500 | 1.000 | 0.24 |
Scenarios | Nitrate (×106 kg) | Population | Cost (EUR) | CPCR (EUR/mg/L) | Ranking |
---|---|---|---|---|---|
S1 | 49.5 | 42,080 | 486,059 | 567,554 | 0.511 |
S2 | 47.4 | 25,945 | 1,572,951 | 995,862 | 0.308 |
S3 | 45.5 | 903 | 3,250,687 | 1,379,508 | 0.713 |
S4 | 43.6 | 903 | 5,529,880 | 1,763,412 | 0.686 |
S5 | 41.7 | 903 | 8,405,620 | 2,152,457 | 0.673 |
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Siarkos, I.; Mallios, Z.; Latinopoulos, P. An Integrated Framework to Assess the Environmental and Economic Impact of Fertilizer Restrictions in a Nitrate-Contaminated Aquifer. Hydrology 2024, 11, 8. https://doi.org/10.3390/hydrology11010008
Siarkos I, Mallios Z, Latinopoulos P. An Integrated Framework to Assess the Environmental and Economic Impact of Fertilizer Restrictions in a Nitrate-Contaminated Aquifer. Hydrology. 2024; 11(1):8. https://doi.org/10.3390/hydrology11010008
Chicago/Turabian StyleSiarkos, Ilias, Zisis Mallios, and Pericles Latinopoulos. 2024. "An Integrated Framework to Assess the Environmental and Economic Impact of Fertilizer Restrictions in a Nitrate-Contaminated Aquifer" Hydrology 11, no. 1: 8. https://doi.org/10.3390/hydrology11010008
APA StyleSiarkos, I., Mallios, Z., & Latinopoulos, P. (2024). An Integrated Framework to Assess the Environmental and Economic Impact of Fertilizer Restrictions in a Nitrate-Contaminated Aquifer. Hydrology, 11(1), 8. https://doi.org/10.3390/hydrology11010008