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Article

Validation of the Overseer Cropping Model for Estimating Nitrate Leaching Losses in Precision Agriculture

by
Raveendrakumaran Bawatharani
1,2,*,
Miles Grafton
1 and
Paramsothy Jeyakumar
1
1
School of Agriculture and Environment, Massey University, Private Bag 11 222, Palmerston North 4442, New Zealand
2
Department of Agricultural Engineering, Faculty of Agriculture, Eastern University, Chenkalady 30350, Sri Lanka
*
Author to whom correspondence should be addressed.
Nitrogen 2026, 7(1), 17; https://doi.org/10.3390/nitrogen7010017
Submission received: 14 December 2025 / Revised: 22 January 2026 / Accepted: 26 January 2026 / Published: 29 January 2026

Abstract

The Overseer model is widely used in New Zealand as a precision-agriculture-related tool for estimating nitrate (NO3) leaching losses in agricultural systems. This study evaluated the accuracy of the Overseer model in predicting nitrate (NO3) leaching through a two-year lysimeter experiment conducted at Woodhaven Gardens, New Zealand, under beetroot and pak choi cultivation. Seven distinct nitrogen (N) fertilizer treatments were applied to assess model performance. In year 1, Overseer overestimated NO3 leaching by an average of 45.2 kg N/ha (15.7%), and in year 2, the model overestimated by 35.2 kg N/ha (43.5%). A sensitivity analysis highlighted soil texture, impeded layer depth and crop residue incorporation as key drivers of leaching variability, underscoring the need for improved model calibration. Overseer performed reasonably well under lysimeter conditions, with a strong linear relationship (Pearson’s correlation coefficient r = 0.89, p < 0.0001) between measured and predicted values and explaining 77% of the variance (R2 = 0.77) in the observed data. The model predicted a baseline leaching loss of 39.4 kg N/ha/year even when measured losses were zero. Overseer demonstrates moderate reliability in predicting NO3 leaching under vegetable cropping systems but exhibits notable limitations in handling crop-specific N dynamics, soil hydrology, and fertilizer timing.

1. Introduction

Vegetable cropping systems in New Zealand are recognized as a significant source of nitrate (NO3) leaching, largely due to the high nitrogen (N) fertilizer inputs and rapid mineralization of crop residues. These practices often leave substantial amounts of mineral N in the soil, which are susceptible to leaching during periods of high rainfall, posing risks to groundwater quality [1]. In recent decades, increasing awareness of NO3 leaching from intensive cropping systems has prompted growers to adopt more sustainable nutrient management practices. This shift is driven by both economic imperatives, such as input efficiency and environmental concerns, particularly the protection of groundwater and surface water quality. Accurate quantification of NO3 leaching losses remains a significant challenge due to the complex and dynamic nature of N transformations within the soil–plant–water–atmosphere continuum. These transformations are influenced by soil type, climate variability, crop species, and management practices, making direct measurement both costly and impractical at scale. As a result, simulation models have emerged as essential tools for estimating nutrient losses and informing precision agriculture strategies [2,3].
Among these tools, the Overseer model, developed by AgResearch in New Zealand, has gained widespread use as a decision-support and regulatory instrument. In the context of precision agriculture, Overseer provides a framework for integrating site-specific soil, climate, and management data to optimize nutrient use efficiency while minimizing environmental losses. By simulating alternative fertilizer regimes and crop rotations, the model enables growers to evaluate management scenarios before implementation, thereby supporting evidence-based decisions that balance productivity with sustainability. This functionality positions Overseer not only as a regulatory tool but also as a practical decision-support system for precision nutrient management in diverse farming systems.
Overseer estimates long-term average nutrient flows and losses from agricultural systems, including nitrate leaching, phosphorus runoff, and greenhouse gas emissions [4,5]. Its strength lies in its calibration to New Zealand conditions, underpinned by decades of empirical data from pastoral systems. The model’s nutrient budget framework enables users to simulate farm-specific scenarios and evaluate the environmental impact of different management strategies. Recent evaluations have reinforced Overseer’s utility in estimating N losses under pastoral systems, while also highlighting the challenges of extending its application to cropping systems. Overseer’s N leaching estimates from grazed pastures showed strong correlation with experimental data, though performance varied across cropping scenarios due to limited calibration datasets [6]. Studies emphasized the importance of refining N leaching estimates for greenhouse gas inventories, noting that model outputs must be interpreted with caution when applied to non-pastoral land uses [7]. These findings underscore the need for ongoing validation and scenario-based testing to ensure robust predictions across diverse farming systems. Furthermore, the model’s modular structure and integration of climate, soil, and management inputs make it a valuable tool for scenario analysis and policy development in nutrient management [8].
While Overseer’s pastoral module is well validated, its cropping module has undergone recent updates to accommodate a broader range of plant types, including deeper-rooted species and vegetable crops [9]. These enhancements aim to improve the model’s sensitivity to soil depth, climate inputs, and fertilizer regimes. However, a key challenge remains because Overseer’s reliance on “long-term average” nutrient budgeting contrasts with the highly dynamic nature of vegetable production systems, where short rotation lengths, rapid changes in soil mineral N, and frequent cultivation events drive large temporal fluctuations in NO3 leaching risk. Recent studies have highlighted the importance of validating simulation outputs against empirical data to model reliability in diverse cropping contexts. For example, NO3-N leaching losses quantified under intensive vegetable rotations in the Lower North Island reveal substantial leaching during fallow periods and under excessive fertilizer regimes [10]. Their findings underscore the need for calibrated models that reflect site-specific dynamics and fertilizer practices. Bridging this gap requires assessing whether a long-term average modelling framework can adequately capture the short-term variability characteristic of vegetable systems, or whether systematic biases emerge when the model is applied outside its original pastoral calibration domain.
Refined leaching estimates are crucial in improving national greenhouse gas inventories and nutrient loss assessments, particularly for cropping systems that deviate from pastoral systems [7]. These insights align with broader efforts to enhance N use efficiency and reduce diffuse pollution from agriculture [11]. Therefore, this study aimed to investigate the application of the Overseer cropping module as a precision-agriculture-related tool for estimating NO3 leaching losses in commercial vegetable systems. Specifically, it evaluates the model’s predictive accuracy under varying fertilizer management scenarios by comparing simulated outputs with empirical data from lysimeter trials. By examining how a long-term average model performs under the rapid nutrient turnover typical of vegetable production, this study contributes to the understanding of the model’s suitability and limitations in supporting nutrient management decisions in high-intensity horticultural systems. Such validation is critical for building confidence in the model’s use beyond pastoral systems and for supporting growers in meeting regulatory requirements and sustainability goals.

2. Materials and Methods

2.1. Site Description and Soil

A lysimeter experiment was conducted at Woodhaven Gardens in Levin, New Zealand, an area with an average annual rainfall of 1181 mm and temperatures ranging from 6.5 °C to 21 °C. The soil profile shows textural variation from loamy to clay loam within the top 60 cm (Table S1). Total carbon and N percentages were highest in the upper 20 cm, with available N content between 8.4 and 53.6 kg N/ha. Bulk density ranged from 1.11 to 1.64 g/cm3. The upper 20 cm had good hydraulic conductivity, while a flow barrier at 50 cm had very low conductivity ranging from 0.3 mm/h to negligible levels. The agricultural land in this region supports intensive vegetable production, such as beetroot, pak choi, lettuce, broccoli, cabbage, and onion.

2.2. Lysimeter Design, and Arrangement

The lysimeters were constructed using plastic bins (Aotearoa NZ Made Ltd., Palmerston North, New Zealand) with a depth of 60 cm and an internal diameter of 40 cm. Installation followed the protocol and methodology described by [12]. In summary, the constructed lysimeters were placed into a prepared field trench, and the soil within each lysimeter was refilled to match the surrounding field’s surface level. The area outside each lysimeter was backfilled with soil to ensure uniformity with the surrounding field surface (Figure S1). The physical and chemical properties of the soil at the trial site were analyzed in five replicates to a depth of 60 cm prior to the installation of the lysimeters (Table S1).

2.3. Experimental Design, Planting, and N Fertilizer Treatments

The experiment was conducted using a randomized complete block design (RCBD) with seven N fertilizer treatments in five replicates, resulting in a total of 35 lysimeters (Figure S2). Basal application of 300 kg/ha of Nitrophoska Blue (12% N) was applied to each lysimeter (excluding the control) prior to the application of mineral N fertilizers. Beetroot (Beta vulgaris) seeds were sown as the first trial crop, and after thinning, five plants per lysimeter were maintained for growth. Nitrogen fertilizer treatments in year 1 included water-soluble Calcium Ammonium Nitrate (CAN, 27% N) and N-Control 75 (44% N), applied at varying rates to establish seven treatment groups, as detailed in Table 1. The N application rates of 81 kg N/ha (equivalent to 300 kg/ha of CAN) and 79.2 kg N/ha (equivalent to 180 kg/ha of N-Control 75) reflected the standard grower practices for beetroot cultivation at Woodhaven Gardens. An intensive application rate of 162 kg N/ha was also tested using CAN. The planned harvest at 12 weeks after planting was not conducted due to coronavirus lockdown. As a result, all beetroots harvested from the lysimeters exceeded acceptable size and weight specifications and were determined to be unrepresentative of marketable produce. Consequently, the entire field harvest was incorporated back into the soil by the grower. To maintain consistency with the field’s crop and soil management practices, the beetroots harvested from the lysimeters were also incorporated into the soil.
In the 2nd year, pak choi (Brassica rapa var. chinensis) was sown as the second trial crop on the lysimeters. The N fertilizer treatments used in year 2 were water-soluble Calcium Ammonium Nitrate (CAN) and N-Control 75 (CRF) at different application rates to formulate seven treatments (Table 1). The treatment rates of 180 kg/ha of CAN and 110.45 kg/ha of CRF were selected based on the growers’ regular practice for pak choi at Woodhaven Gardens. The application rate of 360 kg/ha of CAN represents an intensive application rate. Pak choi plants meeting marketable standards were harvested from the lysimeters. Following the harvest, Italian ryegrass (Lolium multiflorum) seeds were sown as a fallow cover crop in the lysimeters.

2.4. Total Nitrogen Uptake Determination

Beetroot, pak choi and ryegrass plants from the lysimeters were sampled by removing all plants at harvest in both years. The total fresh weight of the harvested plant material was recorded in the field. Subsamples of approximately 150 g were taken for oven drying at 65 °C for a minimum of five days. Once dried, the samples were ground using a Foss Cyclotech mill (ThermoFisher Scientific, Waltham, MA, USA) and passed through a 0.25 mm sieve. The total nitrogen (N) uptake by the plants was determined by digesting 0.1 g of subsample from each treatment using the micro-Kjeldahl digestion method. The total N concentration was then analyzed using a Technicon Autoanalyzer. The total N uptake of the plants was estimated as the product of dry matter yield and plant N concentration (%).

2.5. Measurement and Modelling of Nitrate Leaching Losses from the Lysimeters

Nitrate leaching losses were measured from lysimeter drainage in twelve sampling events in year 1 and eight events in year 2. Drainage water samples were collected after each significant rainfall event (greater than 20 mm). The samples were analyzed for NO3-N using a Technicon Autoanalyzer, Series 2 [13]. The latest version of Overseer at the time of the experiments (Version 6.4.2) was utilized to estimate NO3 leaching losses. This model was chosen due to its calibration for various farming systems under New Zealand conditions. Additionally, Overseer calibrations have predominantly focused on NO3 leaching below the root zone (approximately 0.4 to 0.6 m), using lysimeters [14].

2.5.1. Overview of Overseer Model

It is an empirical model and readily, available data from existing farms can be used to calculate nutrient budgets at a farm scale level [4,15]. Overseer consists of separate sub-models for pastoral, cropping and horticulture enterprises. The model calculates NO3 leaching losses as a difference between the sum of input and the sum of N in yield. It produces long-term annual averages, assuming constant inputs and production from year to year for a given site. The model requires climate inputs, soil characteristics, animal type (where relevant), crop type, and management aspects including fertilizer or irrigation inputs. It runs on a monthly time step using long-term average climate rather than daily climate inputs, with crop yields pre-defined by the user, and does not consider the losses of ammoniac or organic N from the field, limiting its focus to NO3 losses only. The relative NO3 leaching losses vary with soil group and soil drainage characteristics [9].

2.5.2. Input Data Requirements of the Model for Lysimeter Simulations

(i)
Soil data
Each simulation was based on 1 ha of block with silt loam over clay, which was considered as well drained to resemble lysimeter conditions. Details about soil parameters were obtained from laboratory analysis. Key soil input data values and soil conditions defined in Overseer simulations are given in Table 2.
(ii)
Weather data
Overseer used constant values of 1126 mm, 13.3 °C, and 831 mm for rainfall, temperature, and ET respectively, based on the location of the experimental site, as the database has been designed to ignore year-to-year climate variation. Data on average temperature, rainfall, and potential evapotranspiration for each block were used by the model using 30-year average climate data for the location. Overseer used regional seasonality to extrapolate the annual average to monthly or daily values.
(iii)
Crop data
Crop management data pertaining to beetroot cultivation in year 1 and pak choi cultivation in year 2 were used. These data as required by the model were obtained from direct field measurements (Table 3). Ryegrass growth was simulated on lysimeters after the harvest of pak choi in year 2 as a removal of soil residual N. However, the simulation scenarios in year 1 did not have grass growth on lysimeters, as the ryegrass did not germinate in lysimeters in year 1.
(iv)
Input data on N additions
Input data related to N fertilization information for the simulation site included type, timing, amounts and dates and rate of fertilization. The incorporated crop materials in year 1 were treated as organic fertilizer with user-defined amounts and N concentrations of these inputs (Table 4).

2.5.3. Nitrate Leaching Simulations

The fertilizer treatments applied to beetroot in year 1 and pak choi in year 2 were used as different scenarios to run through Overseer. Overseer-predicted NO3 leaching estimates were compared with lysimeter-measured NO3 leaching losses for the years year 1 and year 2 at Woodhaven Gardens in Levin. The simulation utilized the Block, Soil, Pasture/Crops, and Fertilizer modules. Each treatment was simulated individually with a block area of 1.0 ha to assess the significance of NO3 loss variations. The simulated NO3 leaching from Overseer was compared with measured values obtained from lysimeter studies. All simulations represented a free-draining lower boundary. The specific scenarios modeled in Overseer are detailed in Table 1.

2.6. Error Analysis of Overseer

2.6.1. Mean Difference (Md)

The mean difference of each scenario was estimated to determine the average deviation of the measured values from the predicted values for each treatment. A t test was used to check the null hypothesis that Md = 0. A small, non-significant Md was used to test the accuracy of the model prediction. The positive and negative signs of the Md were treated so that on average the model underestimated or overestimated the values, respectively.
M d = i = 1 n M i S i n

2.6.2. Root Mean Square Error (RMSE)

The RMSE was determined as a measure of the deviation of the predicted values from the measured values. Lower values of RMSE imply higher simulation accuracy.
R M S E = 1 n i = 1 n M i S i 2 0.5

2.6.3. Percent of Relative Error (Er%)

Relative error measures the average tendency of the simulated losses to be larger or smaller than their measured counterparts [16].
E r % = M i S i M i 100 n
where Si is the model Overseer simulated loss, Mi is the corresponding measured loss, and n is the number of observations.

2.6.4. Regression Equation

A linear regression equation was derived from the relationship between simulated and measured data. Overseer’s predictive capacity was evaluated using the coefficient of determination (R2), correlation coefficient (r), and a 1:1 relationship (intercept = 0, slope = 1.0) as the degree of association between the measured and simulated losses. A t-test (p < 0.05) was used to assess whether the intercept differed significantly from zero and the slope from one.

2.7. Sensitivity Analysis

In addition to the simulations based on the lysimeter experiment, a set of hypothetical scenarios was included in the sensitivity analysis to explore how Overseer responds to changes in key input assumptions. These scenarios were not intended to represent the actual experimental conditions but were performed to examine the model’s behaviour under alternative management or soil-profile settings. This approach was done to assess how sensitive Overseer’s leaching predictions are to variations in input parameters and to identify which factors have the greatest influence on model outputs. It was conducted by varying one variable at a time, and the relative changes in the output were evaluated with respect to NO3 leaching losses.

2.8. Data Analysis

All statistical analysis were performed using MINITAB [17] (version 19.1.1, State College, PA, USA).

3. Results

3.1. Simulated Annual Water Fluxes

The model was validated for its predictive capacity and precision by comparing Overseer simulated drainage and NO3 leaching results against the mean of five replicated lysimeter measurements (Table 5). Precision of the measured losses is dependent on the measured drainage through the lysimeters. Therefore, applying the 95% confidence interval (C.I) criterion indicated that Overseer reasonably simulated annual water drainage fluxes below 60 cm depth for the CTRL, CRF 1, CRF 2, STD 1, and EXC 2 simulation scenarios under the beetroot cropping system in year 1. However, Overseer did not predict the annual water fluxes for the STD 2 and EXC 1 simulations. The simulated drainage fluxes were within the 95% C.I range for all the simulation scenarios in year 2 under pak choi cultivation (Table 5).
The measured drainage values showed substantial lysimeter-to-lysimeter variability, particularly in year 2. The wide 95% confidence intervals observed in several treatments indicate considerable variability in drainage among individual lysimeters. This variability is typical of field-based lysimeter studies, where small differences in soil hydraulic properties and crop growth can lead to divergent drainage responses. The confidence intervals represent the uncertainty around the mean drainage estimate and illustrate the extent to which treatment values overlap.

3.2. Cumulative Nitrate Leaching Losses During Beetroot Cropping

Overseer produced a single deterministic output for each scenario, which is why predicted values appear as single points rather than ranges. The model does not generate replicate level predictions or probabilistic outputs, nor does it quantify uncertainty internally. The simulation results reveal that Overseer consistently overestimated NO3 leaching losses across six of the seven treatment scenarios under beetroot cultivation, with the exception of CRF 2, where the model underestimated losses by 32.4% (273 predicted vs. 404.2 measured). The largest overestimation occurred in STD 2, where the model estimated 392 kg N/ha, exceeding the measured value of 302.1 kg N/ha by 89.9 kg N/ha (29.8%). Similarly, EXC 2 showed an overestimation of 69.1 kg N/ha corresponding to 24.1% (356 predicted vs. 286.9 measured), and STD 1 was overestimated by 14.8% (344 vs. 299.6). EXC 1 had a moderate overestimation by 13% (313 vs. 277.0), while CRF 1 was overestimated by 9% (326 vs. 299.2). CTRL showed a relatively small overprediction of 5.1 kg N/ha corresponding to 2% (226 predicted vs. 260.9 measured 2%) (Table 6). On average, the model overestimated NO3 leaching by 45.2 kg N/ha (15.7%).

3.3. Cumulative Nitrate Leaching Losses During Pak Choi Cropping

Overseer predictions of NO3 leaching varied across treatments, with both overestimations and underestimations relative to measured values during pak choi cropping. The largest overestimation occurred in STD 2, where Overseer estimated 131 kg N/ha, exceeding the measured value of 78.3 kg N/ha by 67.3% (Table 7). Similarly, STD 1 was overestimated by 34.4% (130 predicted vs. 96.7 measured), and CTRL showed an overestimation of 46.6 kg N/ha corresponding to 63.5% (120 vs. 73.4). EXC 1 was also overestimated by 19.8% (112 vs. 93.4). However, CRF 2 and EXC 2 were underestimated by Overseer. CRF 2 had a measured leaching loss of 111.2 kg N/ha, while the model predicted only 97 kg N/ha, resulting in an underestimation of 14.2 kg N/ha corresponding to 12.8%. EXC 2 showed the largest underprediction, with Overseer estimating 71 kg N/ha compared to a measured value of 95.5 kg N/ha, a difference of 24.5 kg N/ha. CRF 1 was closely predicted, with an overestimation of 24.6 kg N/ha corresponding to 32.2% (101 vs. 76.4). On average, Overseer overestimated NO3 leaching by 35.2 kg N/ha (43.5%) during pak choi cultivation.

3.4. Crop N Uptake

During beetroot cropping, the greatest underestimation of plant N uptake occurred in STD 2, where the simulated plant N uptake was 308 kg N/ha compared to a measured value of 642.1 kg N/ha, resulting in a 52.0% discrepancy. In contrast, the smallest difference was observed in CRF 2, with a predicted uptake of 300 kg N/ha and a measured value of 359.2 kg N/ha, reflecting a 16.4% underestimation. For the remaining treatments, CTRL (290 vs. 456.7), CRF 1 (303 vs. 504.5), STD 1 (293 vs. 412.5), EXC 1 (303 vs. 392.5), and EXC 2 (292 vs. 460.2), the model consistently underestimated plant N uptake, with varying degrees of discrepancy ranging between approximately 22% and 46% (Figure 1).
During pak choi cultivation, the greatest overestimation of plant N uptake occurred in CRF 1, where the simulated value was 520 kg N/ha compared to a measured uptake of 250.03 kg N/ha, resulting in a 107.9% overestimation. In contrast, the smallest discrepancy was observed in EXC 2, with a simulated uptake of 387 kg N/ha and a measured value of 373.91 kg N/ha, reflecting a modest 3.5% overestimation. For the remaining treatments, CTRL (473 vs. 318.5), CRF 2 (504 vs. 461.5), STD 1 (503 vs. 325.67), STD 2 (513 vs. 379.26), and EXC 1 (562 vs. 302.94), the model consistently overestimated plant N uptake, with overestimation ranging from approximately 9% to 85%. (Figure 2).

3.5. Results of the Sensitivity Analysis

Based on the simulation accuracy, the scenario CRF 2 for the year 2 was used to test the sensitivity of different input parameters for their impact on NO3 leaching losses. The Overseer output for this scenario shows a leaching loss of 97 kg N/ha against the measured loss of 111.2 kg N/ha. Key input parameters influencing NO3 losses included fallow duration, impeded layer depth, soil group, hydraulic conductivity, and crop material incorporation.

3.5.1. Length of Fallow Period

Figure 3 presents a scenario-based sensitivity analysis (rather than additional validation data) designed to evaluate how the Overseer model responds to changes in both fallow duration and planting time. The analysis is anchored to a baseline scenario of 97 kg N/ha of NO3 leaching at a 5-month fallow period, which represents the measured lysimeter value used to validate the model. This measured value is shown in Figure 3 as the red-dotted line, indicating the model-predicted loss when fixed input data are applied. Using this baseline as the reference point, two planting-time scenarios such as June and July planting are simulated to assess the model’s sensitivity to shifts in crop establishment timing. Across the six-month fallow range, simulating planting one month earlier (June) results in a 4–22% reduction in predicted NO3 leaching, with total losses of 75 kg N/ha for June planting compared with 96 kg N/ha for July planting. The simulated leaching trend declines consistently when planting occurs earlier, demonstrating that advancing establishment reduces the duration of bare-soil exposure and therefore lowers N losses. The model also predicts that maintaining grass cover for six months reduces losses to 96 kg N/ha/year. In contrast, leaving lysimeters bare for the same period leads to substantially higher losses of 165 kg N/ha/year. These results suggests that earlier planting consistently mitigates this effect by reducing the duration and intensity of bare-soil N loss.

3.5.2. Impeded Layer Depth

Model validation for the CRF 2 simulation scenario estimated a NO3 leaching loss of 97 kg N/ha under free-draining conditions with no impeded layer. When the impeded layer depth was reduced from 50 cm to 10 cm, NO3 losses increased by 12.3% to 108.2% relative to the validated losses (Figure 4). The model was particularly sensitive to depth variations between 10 and 50 cm, indicating, that within this range, lower available water capacity leads to frequent flushing during drainage. However, Overseer showed no sensitivity beyond 60 cm.

3.5.3. Soil Group and Texture

Overseer predicted a NO3 leaching loss of 97 kg N/ha for the CRF 2 scenario in year 2 from a medium-textured, free-draining brown soil. The model predicted a reduction of 15% and 6% in NO3 losses for gley and allophanic soils, respectively, while increases of 6%, 23%, 8%, and 1% were observed for melanic, granular, pallic, and recent soils. Soil texture also influenced NO3 losses, with a 48% increase in light-textured soils and a 9% rise in heavy-textured soils compared to medium-textured soil (Figure 5). However, changes in drainage class (well, moderately well, imperfect, poor, and very poor) had minimal impact on NO3 leaching losses.

3.5.4. Saturated Hydraulic Conductivity

Overseer demonstrated sensitivity to changes in hydraulic conductivity between 1 and 3 mm/day. Nitrate leaching losses increased by 46% when conductivity rose from 1 to 2 mm/day. However, the model did not accept values below 1 mm/day and rounded decimal values (1.1–1.4 mm/day to 1.0 and 1.5–1.9 mm/day to 2.0). Sensitivity was observed only up to 4 mm/day, while values above 3 mm/day resulted in minimal changes in simulated NO3 leaching losses (Figure 6).

3.5.5. Amount of Incorporated Material

The incorporation of crop residues into the soil had a significant impact on NO3 leaching losses. A 50% increase in residue incorporation following harvest resulted in a predicted increase in NO3 leaching from 111.5 to 167.3 kg N/ha, representing a 50% rise in losses. Conversely, a 50% reduction in residue incorporation led to a corresponding 50% decrease in NO3 leaching losses (Figure 7). Sensitivity analysis of fertilizer type, pH, bulk density, drainage class, soil carbon percentage, and rooting depth had minimal influence on the estimated NO3 leaching losses (±20% of the validated values).

3.6. Evaluation of the Precision of Overseer

In this study, Overseer generally overestimated NO3 leaching, as evidenced by negative Md values across most scenarios. The exceptions can be observed in the CRF 2 scenario in year 1 and the STD 2 scenario in year 2, where Md values were statistically significant. Even though the lowest possible value of RMSE should be closer to zero for better simulation accuracy, none of the simulations met this criterion by showing higher RMSE values in both years. The relative error% (Er%) in year 1 remained below 10%, indicating acceptable performance. However, in year 2, simulations such as CTRL and STD 2 exceeded this threshold, with Er% values of −12.7% and −13.4%, respectively (Table 8).
Regression analysis between Overseer-simulated and lysimeter-measured NO3 leaching losses revealed a consistent overestimation of 39.4 kg N/ha/year across most scenarios, with data points diverging above the 1:1 line (Figure 8). The regression model yielded an R2 value of 0.77, indicating that 77% of the variation in measured NO3 leaching was explained by the simulated values. Overseer showed good agreement between the measured and the predicted losses across all simulation scenarios in both years. Even though Overseer did not meet the statistical criteria for a few individual simulations, its overall performance in both years resulted in a high positive significant correlation coefficient (r = 0.89, p < 0.0001) indicating a good agreement between measured and predicted data. However, the model shows that the slope is significantly different from one (p < 0.0001) implying that Overseer did not meet the non-significant slope criteria, implying deviation of data points away from the 1:1 line rather than proportional agreement. A non-significant intercept (p = 0.21) indicates that it is not significantly different from 0 and suggests that the overestimated loss of 39.4 kgN/ha was not a significant amount (Table 9).

4. Discussion

4.1. Nitrate Leaching Predictions

Overall variability in NO3 leaching was found to be associated with the crop N uptake. N uptake is estimated by the monthly crop biomass accumulation and its N content in Overseer. The N content of beetroots and leaves in year 1 was estimated as 3.1% and 2.7%, respectively (Table S2). However, Overseer used a constant value of 1.0% and 1.5% for roots and leaves, respectively [18]. Since N content is a fixed value used by Overseer and cannot be defined by the user, the crop uptakes were underestimated by Overseer during beetroot cultivation. Thus, the simulated higher NO3 leaching was due to less crop N uptake (Figure 1).
Another factor to be noted here is that Overseer predicts rapid mineralization of organic matter. Large quantities of crop material were incorporated into the soil during the beetroot cropping cycle. When this was entered in Overseer as organic matter, it estimated higher NO3 leaching losses as indicated in the sensitivity analysis (Figure 7). Large overestimation of NO3 leaching losses following incorporation of ryegrass in vegetable growing conditions were also reported in the literature [19]. Overall, the average overestimation of 45.2 kg N/ha (15.7%) across year 1 simulations indicate a moderate bias in Overseer’s predictions under beetroot cultivation. This aligns with findings from recent evaluations, which rated Overseer’s performance in cropping systems as variable, depending on soil type, crop rotation, and fertilizer strategy [20].
The simulation results under pak choi cultivation in year 2 indicate that Overseer predicted comparatively lower NO3 leaching losses than in year 1, aligning with the reduced N input applied during that year. This trend reflects the model’s sensitivity to input-driven changes in N availability. However, despite the overall reduction, the model still overestimated NO3 losses in five of the seven scenarios, with overprediction rates ranging from 19.8% (EXC 1) to 63.5% (CTRL). These discrepancies suggest that while Overseer captures general input trends, its magnitude of prediction may not consistently reflect measured leaching, particularly under low N fertilizer treatments.
Moreover, growth of annual ryegrass was simulated during the fallow period on lysimeters in year 2. Consequently, the crop N uptake was found to be influenced by simulation of five months of fallow period, which resulted in overestimated N uptake in all scenarios (Figure 2). The N contents of pak choi and ryegrass were determined as 3.2% and 2.2%, respectively (Table S2), but Overseer predictions were based on the model’s fixed values of 2.6% and 3.7% for pak choi and ryegrass, respectively, which simulated overestimated plant uptake. Hence, relatively greater crop N uptake was found to be associated with lower NO3 leaching during pak choi cropping (Table 7). Nitrate leaching losses were also overestimated in a potato–oats–onion rotation where Overseer predicted NO3 loss of 220 kg N/ha when the measured losses were 80 to 15 kg N/ha under winter potatos in a similar environment [21]. However, the authors did not provide any explanation for this modelling discrepancy.
Although Overseer generally overpredicted NO3 leaching losses across both experimental years, these apparent overestimations were not statistically significant for most treatments based on the mean difference (Md) criterion (Table 8). The only statistically significant deviation occurred for STD 2 in year 2 (−52.7 *), indicating a meaningful difference between measured and modelled leaching for that treatment alone. Consequently, despite the overall tendency for Overseer to overestimate leaching, these differences cannot be interpreted as true statistical overestimations for any treatment other than STD 2 in year 2. Although the overestimations were not statistically significant, they may still influence compliance outcomes and on-farm decision-making, as even non-significant deviations can carry practical consequences for growers. In recognition of this, the present study considered all instances where Overseer overpredicted leaching losses and calculated year-specific, average overestimation values for both year 1 and year 2.

Nitrogen Use Efficiency and N Fate

Nitrogen Use Efficiency (NUE) was generally low in year 1, as most fertilized treatments showed only small increases in predicted N uptake above the control (2–18 kg N/ha) despite substantial fertilizer additions, resulting in large predicted surplus N values (63–160 kg N/ha). This pattern indicates that Overseer assumed poor crop recovery of applied N under beetroot, with much of the fertilizer remaining unused and therefore at higher risk of loss. In year 2, predicted NUE was markedly higher, with several treatments (CRF 1, CRF 2, STD 1, STD 2 and EXC 1) showing strong increases in N uptake (30–89 kg N/ha) relative to the modest fertilizer inputs, leading to very small predicted surpluses (1.6–18.6 kg N/ha). Only EXC 2 showed poor efficiency, with a large surplus (183.2 kg N/ha), indicating substantial unrecovered N and elevated loss potential.
Overseer’s predicted surplus N values show how much of the applied fertilizer N the model considers unrecovered by the crop, but the leaching predictions do not always scale proportionally with these surpluses. In year 1, treatments such as EXC 1 (149 kg N/ha) and EXC 2 (160 kg N/ha) had the largest predicted surpluses, yet Overseer predicted moderate leaching losses of (313–356 kg N/ha), which was only slightly above the control (Table 10). Conversely, STD 2, which had a much smaller surplus (63 kg N/ha), was assigned one of the highest leaching losses (392 kg N/ha). This indicates that Overseer does not directly translate surplus N into higher leaching for year 1, but instead, leaching appears to be driven by internal assumptions about drainage behavior and soil profile characteristics rather than treatment-specific N recovery. A similar pattern appears in year 2. Most treatments had small predicted surpluses (1.6–18.6 kg N/ha), yet Overseer still predicted high leaching for STD 1 and STD 2 (130–131 kg N/ha). The most striking mismatch occurred in EXC 2, where Overseer predicted a very large surplus (183.2 kg N/ha) but low leaching (71 kg N/ha), suggesting that the model assumes this surplus remains stored in the soil rather than being lost. Meanwhile, treatments with minimal surpluses (CRF1 at 1.6 kg N/ha) still received moderate leaching predictions.
Framing these results in terms of NUE and N fate is consistent with tracer-based and mechanistic studies showing that management strongly regulates the partitioning of applied N between crop uptake, soil storage, and loss pathways. Classic N15 tracer work and conceptual syntheses have demonstrated that synchronizing N supply with crop demand, moderating mineral N pools, and avoiding excess soil NO3 are central to reduce leaching while maintaining yield [22,23,24]. In this context, the above N budget analysis shows that measured plant N uptake and NO3 leaching are closely linked across fertilizer strategies. This supports the broader evidence that improving NUE reduces surplus soil NO3 pools, lowers loss risk, and maintains productivity.

4.2. Sensitivity of the Model

The sensitivity analysis of the Overseer cropping module underscores the model’s responsiveness to key soil and management parameters influencing NO3 leaching. Notably, fallow duration and timing emerged as critical factors, with early ryegrass establishment reducing leaching losses (Figure 3). This aligns with previous findings demonstrating that NO3 leaching is highly sensitive to crop cover and timing, primarily due to their influence on N uptake and water percolation dynamics [25]. Similarly, the depth of the impeded layer showed strong influence on leaching, particularly within the 10–50 cm range, where reduced water-holding capacity promotes frequent drainage events (Figure 4). These results are consistent with global sensitivity analyses indicating that soil hydraulic properties, especially saturated hydraulic conductivity and water retention, are among the most influential parameters in nitrate transport models [26].
Overseer’s sensitivity to the soil texture group further highlights the importance of accurate soil classification in model calibration. Granular and light-textured soils exhibited elevated NO3 losses, likely due to their lower retention capacity and higher permeability (Figure 5). However, minimal sensitivity to drainage class and small changes in hydraulic conductivity suggest limitations in the model’s granularity for certain soil hydrological traits (Figure 6). The pronounced effect of crop residue incorporation on NO3 leaching, up to a 50% variation, emphasizes the role of post-harvest N mineralization in leaching dynamics [27]. These findings collectively suggest that while Overseer captures major leaching drivers, refinement in its treatment of soil hydrology and residue decomposition could enhance predictive accuracy in vegetable cropping systems.

4.3. Evaluation of the Precision of Overseer Under Different Fertilizer Regimes

The mean difference (Md) between measured and simulated NO3 leaching losses serves as a critical metric for model validation, with non-significant Md values indicating acceptable simulation accuracy. However, the majority of these differences were statistically non-significant, suggesting that the model’s predictions were not significantly (p < 0.05) different from empirical measurements. This aligns with findings noting that while Overseer tends to overpredict N losses under certain conditions, its long-term averages remain within acceptable bounds for regulatory use [6]. Significant Md values for CRF 1 in year 1 and STD 2 in year 2 highlight the model’s limitations under specific fertilizer regimes and crop rotations. These discrepancies may stem from the model’s simplified representation of N mineralization, residue decomposition, and soil water dynamics, which are known to vary significantly across cropping systems [28]. The scenario CRF 2 in year 1 involved two equal split applications of N-Control 75 in January and March so that Overseer may have treated these two applications to estimate NO3 leaching losses in three monthly steps. The model tended to reduce losses when the time steps increased, and consequently, the predicted loss was 16.2% lower than the single application scenario CRF 1 (Table 6).
The scenario STD 2 with four split applications include three of the split applications being made in January in two-week intervals and the final split application being made in March, in year 1. Overseer, having a monthly time step, considered that the uptake was complete by the time additional fertilizer application was made, treating any extra fertilizer as unused, despite crop growth and N uptake [19]. This shows that the user interface of Overseer’s fertilizer module does not reflect the reality of fertilizer applications under vegetable growing conditions. Consequently, STD 2 scenario in year 2 resulted in some uncertainties when simulating frequent fertilizer applications. However, in general, Overseer did not adequately predict the other split application scenarios (CRF 2 and EXC 2), as indicated by their higher Er %. Moreover, the lack of dynamic feedback mechanisms in Overseer, such as real-time crop uptake and rainfall variability, may contribute to its reduced accuracy in scenarios with high temporal variability.
RMSE is a widely accepted metric for assessing model performance, as it quantifies the average magnitude of error between observed and predicted values [29]. The elevated RMSE values suggest that Overseer may not fully capture the N dynamics occurring under lysimeter conditions, particularly in systems with variable soil moisture and fertilizer regimes. While Overseer performs well in pastoral systems, its cropping module yields variable accuracy due to limited calibration datasets and simplified assumptions about soil–plant interactions [6]. This decline in accuracy in Er% may be attributed to the model’s limited responsiveness to dynamic soil moisture and fertilizer regimes. Overseer was compared with the SCRUM-APSIM model, and it was found that while long-term averages aligned under benchmark conditions, Overseer struggled to replicate crop-specific N dynamics under varied soil and climate sequences [30].
These findings are also consistent with meta-analyses showing that management can substantially mitigate nitrate leaching while sustaining or even improving yields. It has been reported that improved fertilizer management, optimized irrigation, enhanced-efficiency fertilizers, and cover crops can significantly reduce nitrate leaching, with effect sizes that depend on crop type, climate, and baseline management for irrigated systems [11]. More recent syntheses, including global assessments of nitrate leaching from major cereals and vegetable systems, further highlight the importance of matching N inputs to crop demand and constraining soil nitrate accumulation as key levers for reducing losses. From a modelling perspective, our use of RMSE and related statistics follows established guidance that emphasizes the complementary roles of error metrics such as MAE and RMSE in evaluating model performance and bias [29,31].

4.4. Overall Simulation Performance of Overseer

Regression slope and intercept deviations are useful indicators for refining model structure and improving calibration [32]. The average overprediction of 39.4 kg N/ha/year highlights a systematic bias in the model’s cropping module. Although this value was not statistically different from zero, it represents an inherent model bias when measured leaching approaches zero. This baseline offset is important to acknowledge, particularly in regulatory contexts where Overseer outputs are used to assess compliance and allocate nutrient discharge allowances. In systems with low nitrate-N losses, even a non-significant intercept may influence interpretation of modelled values. Accordingly, this baseline error should be considered when evaluating Overseer’s predictions for low leaching scenarios.
Despite this, the R2 value of 0.77 suggests that Overseer captures the general trend of nitrate losses reasonably well, even if absolute values deviate (Figure 8). Strong correlations between Overseer outputs and field measurements have been reported in pastoral systems, but reduced accuracy has been noted in cropping contexts [6]. The consistent divergence above the 1:1 line also raises concerns about the implications of overestimated NO3 losses for growers and regulators. Overprediction may lead to unnecessary restrictions or misinformed nutrient budgeting, potentially affecting farm profitability and compliance. This level of correlation coefficient (r) of 0.89 suggests that the model captures the general trend of NO3 leaching across diverse scenarios. Theoretically, for a perfect simulation (simulated values should be the same as the measured values), the r value should be 1, the intercept (a) should be 0, and the slope of the regression line (b) should be 1. However, the significant slope of the regression line (p < 0.0001) indicates a systematic bias in the magnitude of predictions (Table 9). This deviation from the 1:1 line suggests that while Overseer tracks the direction of change in NO3 leaching, it tends to overestimate leaching values. Slope deviations are common in empirical models when applied to systems with complex N dynamics, especially under variable fertilizer regimes and soil textures [28]. The non-significant intercept in this study further supports that the overestimation was not constant across scenarios but rather influenced by specific input sensitivities such as crop type, rooting depth, and residue incorporation. Despite these deviations, the overall agreement between measured and simulated NO3 losses supports a moderately successful validation of the Overseer cropping module.

4.5. Uncertainties Associated with the Simulation Scenarios

The accuracy of Overseer simulations for vegetable crops in New Zealand is limited, as only a few crops can be modeled. Beetroot was categorized under root crops in year 1, while pak choi was treated as regular cabbage due to the absence of a suitable category, potentially leading to discrepancies in crop characteristics. Additionally, Overseer used 30-year averaged climate data (1981–2010) instead of actual daily climate data for year 1 and year 2, ignoring interannual variability in rainfall and evapotranspiration. The recorded rainfall and evapotranspiration were 1048.4 mm and 577 mm in year 1 and 1264 mm and 786 mm in year 2, whereas the model used fixed values of 1126 mm and 831 mm, respectively. This omission likely affected NO3 loss predictions, as climate variability influences leaching [33]. As a result, the validation reflects Overseer’s performance under its intended long-term averaging framework rather than its ability to reproduce year-specific leaching dynamics. This limitation does not indicate a modelling error but highlights the validation outcomes for anomalously wet years such as year 2.
Overseer also did not distinguish between NO3 leaching and runoff N, potentially overestimating NO3 losses. Furthermore, fertilizer N was assumed to be incorporated within 20 cm, overlooking variations in NO3 distribution, as surface soils generally exhibit higher N concentrations than deeper layers. The model extrapolated equations from pastoral systems to horticultural crops, which may have influenced N uptake estimates, potentially leading to discrepancies in leaching predictions [5,9]. Moreover, Overseer defined NO3 leaching as percolation below 60 cm, disregarding field soil heterogeneity beyond this depth. Therefore, Overseer’s modeling accuracy provides a reliable estimate, and it is attributed to the model’s simplifications in crop, soil, and nutrient interactions, which closely resemble lysimeter conditions [34].

5. Conclusions

The Overseer cropping module demonstrated moderate success in predicting NO3 leaching losses under lysimeter conditions, with a generally good agreement between measured and simulated data (r = 0.89, R2 = 0.77). While most scenarios showed non-significant mean differences, indicating reasonable accuracy, the model tended to overestimate NO3 losses in both years, with an average overestimation of 39.4 kg N/ha/year. This baseline bias is important in regulatory contexts, as Overseer outputs are directly applied in regional council compliance assessments and in determining nutrient discharge allocations. This consistent bias highlights the need for improved crop parameterization to ensure better prediction accuracy. It can be concluded that Overseer output may serve as a useful guide, but their limitations and potential biases must be taken into account before applying them in farm management decisions.

Supplementary Materials

The following supporting information can be downloaded at https://www.mdpi.com/article/10.3390/nitrogen7010017/s1, Figure S1: Schematic diagram of a single lysimetric arrange ment for the collection of leachates at Woodhaven Gardens, Levin, New Zealand.; Figure S2: Treatment allocation for the 35 lysimeters in Woodhaven Gardens in Randomized Complete Block Design (RCBD). Each circle shows the lysimeter and treatment identification. Table S1: Baseline soil physical and chemical properties at the experimental site at different depths prior to the commence ment of the experiment.; Table S2. Nitrogen concentration (%) in beetroot leaves, roots, pak choi, and ryegrass under varying N fertilizer treatments.

Author Contributions

(i) R.B.: Conceptualization, investigation, methodology, data collection and analysis, and writing original draft. (ii) M.G.: Methodology, writing—review and editing, funding acquisition and project administration. (iii) P.J.: Methodology, and writing—review and editing. All authors have read and agreed to the published version of the manuscript.

Funding

The authors sincerely acknowledge the financial support provided by Massey University’s Research Fund (RM22311) for this study.

Data Availability Statement

The data presented in this study are available on request from the corresponding author.

Acknowledgments

The authors sincerely acknowledge Woodhaven Gardens for generously providing their field site for the lysimeter experiments. They also gratefully acknowledge Peter Bishop for establishing the lysimeter system and Fernando Avendano for his assistance.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
NNitrogen
NO3Nitrate
MdMean Difference
RMSERoot Mean Square Error
ErError
CANCalcium Ammonium Nitrate
CRFControlled Release Fertilizer
EXCExcess
STDStandard
SCRUM-APSIMSimple Crop Resource Uptake Model-Agricultural Production Systems sIMulator

References

  1. Francis, G.S.; Trimmer, L.A.; Tregurtha, C.S.; Williams, P.H.; Butler, R.C. Winter nitrate leaching losses from three land uses in the Pukekohe area of New Zealand. N. Z. J. Agric. Res. 2003, 46, 215–224. [Google Scholar] [CrossRef]
  2. Cichota, R.; Snow, V.O. Estimating nutrient loss to waterways—An overview of models of relevance to New Zealand pastoral farms. N. Z. J. Agric. Res. 2009, 52, 239–260. [Google Scholar] [CrossRef][Green Version]
  3. Lilburne, L.; Webb, T.; Ford, R.; Bidwell, V.J. Estimating Nitrate-N Leaching Rates Under Rural Land Uses in Canterbury; Environment Canterbury Regional Council: Christchurch, New Zealand, 2010. Available online: https://www.researchgate.net/publication/277039127_Estimating_nitrate-nitrogen_leaching_rates_under_rural_land_uses_in_Canterbury#fullTextFileContent (accessed on 24 August 2025).
  4. Wheeler, D.M.; Ledgard, S.F.; Monaghan, R.M.; McDowell, R.W.; de Klein, C.A.M. Overseer nutrient budget model—What it is, what it does. In Implementing Sustainable Nutrient Management Strategies in Agriculture; Currie, L.D., Hanly, J.A., Eds.; Occasional Report No. 19; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 2006; pp. 231–236. Available online: https://www.researchgate.net/profile/Rw-Mcdowell/publication/285807876_OVERSEER_nutrient_budget_model_-_what_it_is_what_it_does/links/566f242d08aec0bb67bf038b/OVERSEER-nutrient-budget-model-what-it-is-what-it-does.pdf (accessed on 22 October 2025).
  5. Williams, R.; Brown, H.; Dunbier, M.; Edmeades, D.; Hill, R.; Metherell, A.; Thorburn, P. A critical examination of the role of Overseer® in modelling nitrate losses from arable crops. In Accurate and Efficient Use of Nutrients on Farms; Currie, L.D., Christensen, C.L., Eds.; Occasional Report No. 26; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 2013; pp. 1–8. Available online: https://www.massey.ac.nz/~flrc/workshops/13/Manuscripts/Paper_Williams_2013.pdf (accessed on 22 October 2025).
  6. Tavernet, J.P. Overseer assessment of modelling N leaching under pasture. In Opportunities for Improved Farm and Catchment Outcomes; Christensen, C.L., Horne, D.J., Singh, R., Eds.; Occasional Report No. 36; Farmed Landscapes Research Centre, Massey University: Palmerston North, New Zealand, 2024; pp. 1–7. Available online: https://flrc.massey.ac.nz/workshops/24/Manuscripts/Tavernet_JP.pdf (accessed on 5 September 2025).
  7. Welten, B.; Mercer, G.; Smith, C.; Sprosen, M.; Ledgard, S. Refining Estimates of N Leaching for the New Zealand Agricultural Greenhouse gas Inventory; MPI Technical Paper No: 2022/05; Ministry for Primary Industries: Wellington, New Zealand, 2021. Available online: https://www.mpi.govt.nz/dmsdocument/50431-Refining-estimates-of-N-leaching-for-the-New-Zealand-agricultural-greenhouse-gas-inventory-Report/ (accessed on 6 November 2025).
  8. Selbie, D.R.; Buckthought, L.E.; Shepherd, M.A. The challenge of the urine patch for managing nitrogen in grazed pasture systems. Adv. Agron. 2015, 129, 229–292. [Google Scholar] [CrossRef]
  9. Ledgard, S.; Williams, P.; Broom, F.; Thorrold, B.; Wheeler, D.; Willis, V. Overseer—A nutrient budgeting model for pastoral farming, wheat, potatoes, apples and kiwifruit. In Best Soil Management Practices for Production; Currie, L.D., Hedley, M.J., Horne, D.J., Loganathan, P., Eds.; Occasional Report No. 12; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 1999; pp. 143–152. Available online: https://flrc.massey.ac.nz/workshops/older/paperlist-99.html (accessed on 27 October 2025).
  10. Avendaño, F.; Horne, D.; Singh, R.; Palmer, A.; Cichota, R.; Bloomer, D. Quantification of nitrate-N losses under intensive vegetable production systems in New Zealand. N. Z. J. Crop Hortic. Sci. 2025, 53, 3091–3112. [Google Scholar] [CrossRef]
  11. Quemada, M.; Baranski, M.; Nobel-de Lange, M.; Vallejo, A.; Cooper, J.M. Meta-analysis of strategies to control nitrate leaching in irrigated agricultural systems and their effects on crop yield. Agric. Ecosyst. Environ. 2013, 174, 1–10. [Google Scholar] [CrossRef]
  12. Zhao, C.; Hu, C.; Huang, W.; Sun, X.; Tan, Q.; Di, H.J. Design, construction and installation of large soil core lysimeters. Trans. Chin. Soc. Agric. Eng. 2010, 26, 48–53. [Google Scholar] [CrossRef]
  13. Blakemore, L.; Searle, P.; Daly, B. Methods for Chemical Soil Analysis; New Zealand Soil Bureau Scientific Report 80; Department of Scientific and Industrial Research: Lower Hutt, New Zealand, 1987; pp. 72–103. [Google Scholar] [CrossRef]
  14. Watkins, N.; Shepherd, M.A. Compendium of New Zealand pasture farmlet experiments measuring N leaching. In Nutrient Management for the Farm, Catchment and Community; Currie, L.D., Christensen, C.L., Eds.; Occasional Report No. 27; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 2014; pp. 1–13. Available online: https://flrc.massey.ac.nz/workshops/14/Manuscripts/Paper_Watkins_2014.pdf (accessed on 14 November 2025).
  15. Wheeler, D. Overseer scenarios. In Nutrient Management in a Rapidly Changing World; Currie, L.D., Lindsay, L., Eds.; Occasional Report 22; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 2009; pp. 335–340. Available online: https://flrc.massey.ac.nz/workshops/09/Abstracts%202009.pdf (accessed on 7 May 2025).
  16. Addiscott, T.; Whitmore, A. Computer simulation of changes in soil mineral N and crop N during autumn, winter and spring. J. Agric. Sci. 1987, 109, 141–157. [Google Scholar] [CrossRef]
  17. Minitab, version 19.1.1; Statistical Software; Minitab: State College, PA, USA, 2010.
  18. Wheeler, D.M. OVERSEER Technical Manual: Technical Manual for the Description of the OVERSEER® Nutrient Budgets Engine—Characteristics of Crops; Overseer Ltd.: Wellington, New Zealand, 2018; pp. 18–20. Available online: https://www.researchgate.net/publication/289904795_OVERSEER_Technical_Manual (accessed on 12 May 2025).
  19. Science Advisory Panel. Overseer Whole-Model Review: Assessment of the Model Approach; MPI Technical Paper no: 2021/12; New Zealand Government: Wellington, New Zealand, 2021. Available online: https://www.mpi.govt.nz (accessed on 19 October 2025).
  20. Overseer Ltd. New Report Backs OverseerFM. Overseer|Farming Software New Zealand. 2023. Available online: https://overseer.org.nz/articles/new-report-backs-overseerfm/ (accessed on 28 August 2025).
  21. Thomas, S.M.; Ledgard, S.F.; Francis, G.S. Improving estimates of nitrate leaching for quantifying New Zealand’s indirect nitrous oxide emissions. Nutr. Cycl. Agroecosyst. 2005, 73, 213–226. [Google Scholar] [CrossRef]
  22. Raun, W.R.; Johnson, G.V. Improving nitrogen use efficiency for cereal production. Agron. J. 1999, 91, 357–363. [Google Scholar] [CrossRef]
  23. Cassman, K.G.; Dobermann, A.; Walters, D.T. Agroecosystems, nitrogen-use efficiency, and nitrogen management. Ambio 2002, 31, 132–140. [Google Scholar] [CrossRef] [PubMed]
  24. Robertson, G.P.; Vitousek, P.M. Nitrogen in agriculture: Balancing the cost of an essential resource. Annu. Rev. Environ. Resour. 2009, 34, 97–125. [Google Scholar] [CrossRef]
  25. Rathnappriya, R.H.K.; Sakai, K.; Okamoto, K.; Kimura, S.; Haraguchi, T.; Nakandakari, T.; Setouchi, H.; Bandara, W.B.M.A.C. Global sensitivity analysis of key parameters in the APSIMX-Sugarcane model to evaluate nitrate balance via treed Gaussian process. Agronomy 2022, 12, 1979. [Google Scholar] [CrossRef]
  26. Liang, H.; Qi, Z.; DeJonge, K.C.; Hu, K.; Li, B. Global sensitivity and uncertainty analysis of nitrate leaching and crop yield simulation under different water and N management practices. Comput. Electron. Agric. 2017, 142, 201–210. [Google Scholar] [CrossRef]
  27. Wey, H.; Hunkeler, D.; Bischoff, W.A.; Bünemann, E.K. Field-scale monitoring of nitrate leaching in agriculture: Assessment of three methods. Environ. Monit. Assess. 2022, 194, 4. [Google Scholar] [CrossRef] [PubMed]
  28. Snow, V.O.; Cichota, R.; McAuliffe, R.J.; Hutchings, N.J.; Vejlin, J. Increasing the spatial scale of process-based agricultural systems models by representing heterogeneity: The case of urine patches in grazed pastures. Environ. Model. Softw. 2017, 90, 89–106. [Google Scholar] [CrossRef]
  29. Willmott, C.J.; Matsuura, K. Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance. Clim. Res. 2005, 30, 79–82. [Google Scholar] [CrossRef]
  30. Khaembah, E.; Brown, H. Testing of OVERSEER N Loss Estimates from Crop Systems; Plant & Food Research Report SPTS No. 14014; Foundation for Arable Research: Christchurch, New Zealand, 2016; Available online: https://assets.ctfassets.net/bo1h2c9cbxaf/2wflP90wzwZNMiGcf6ykm5/7bda1fcdd5ef8b0e699cecfd1ef7dfe3/Crop_Model_Review.pdf (accessed on 20 October 2025).
  31. Chai, T.; Draxler, R.R. Root mean square error (RMSE) or mean absolute error (MAE)?—Arguments against avoiding RMSE in the literature. Geosci. Model Dev. 2014, 7, 1247–1250. [Google Scholar] [CrossRef]
  32. Børgesen, C.D.; Pullens, J.W.; Zhao, J.; Blicher-Mathiesen, G.; Sørensen, P.; Olesen, J.E. NLES5—An empirical model for estimating nitrate leaching from the root zone of agricultural land. Eur. J. Agron. 2022, 134, 126465. [Google Scholar] [CrossRef]
  33. Nonhebel, S. The effects of use of average instead of daily weather data in crop growth simulation models. Agric. Syst. 1994, 44, 377–396. [Google Scholar] [CrossRef]
  34. Shepherd, M.; Wheeler, D.; Selbie, D.; Buckthought, L.; Freeman, M. Overseer: Accuracy, precision, error and uncertainty. In Accurate and Efficient Use of Nutrients on Farms; Currie, L.D., Christensen, C.L., Eds.; Occasional Report No. 26; Fertilizer and Lime Research Centre, Massey University: Palmerston North, New Zealand, 2013; pp. 1–8. Available online: https://www.researchgate.net/profile/Mark-Shepherd-10/publication/275251993_OVERSEER_accuracy_precision_error_and_uncertainty/links/55361a9b0cf20ea35f1102f3/OVERSEER-accuracy-precision-error-and-uncertainty.pdf (accessed on 26 May 2025).
Figure 1. Comparison of Overseer-predicted average beetroot N uptake against measured beetroot N uptake from lysimeters in year 1. Measured values are the mean of five replicates. Overseer predicted N uptakes are deterministic single values without replication.
Figure 1. Comparison of Overseer-predicted average beetroot N uptake against measured beetroot N uptake from lysimeters in year 1. Measured values are the mean of five replicates. Overseer predicted N uptakes are deterministic single values without replication.
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Figure 2. Comparison of Overseer-simulated average pak choi N uptake against measured pak choi N uptake from lysimeters in year 2. Measured values are the mean of five replicates. Overseer predicted N uptakes are deterministic single values without replication.
Figure 2. Comparison of Overseer-simulated average pak choi N uptake against measured pak choi N uptake from lysimeters in year 2. Measured values are the mean of five replicates. Overseer predicted N uptakes are deterministic single values without replication.
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Figure 3. Scenario-based sensitivity analysis of NO3 leaching loss (kg N/ha) across planting times. Simulations show that earlier planting (June vs. July) reduces leaching, with the model validated by a 5-month fallow baseline of 97 kg N/ha losses.
Figure 3. Scenario-based sensitivity analysis of NO3 leaching loss (kg N/ha) across planting times. Simulations show that earlier planting (June vs. July) reduces leaching, with the model validated by a 5-month fallow baseline of 97 kg N/ha losses.
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Figure 4. Measured NO3 leaching loss (kg N/ha) versus depth of the impeded layer (cm), showing decreasing leaching losses with depth and no Overseer sensitivity beyond 60 cm.
Figure 4. Measured NO3 leaching loss (kg N/ha) versus depth of the impeded layer (cm), showing decreasing leaching losses with depth and no Overseer sensitivity beyond 60 cm.
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Figure 5. Nitrate leaching response across Light, Medium, and Heavy soil texture groups. Soil textures were grouped using reproducible percentage-based thresholds consistent with S-map and standard texture-triangle classifications: Light (>65% sand, <15% clay), Medium (30–65% sand, 15–35% clay), and Heavy (<30% sand, >35% clay).
Figure 5. Nitrate leaching response across Light, Medium, and Heavy soil texture groups. Soil textures were grouped using reproducible percentage-based thresholds consistent with S-map and standard texture-triangle classifications: Light (>65% sand, <15% clay), Medium (30–65% sand, 15–35% clay), and Heavy (<30% sand, >35% clay).
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Figure 6. Effect of hydraulic conductivity on simulated nitrate leaching: sensitivity analysis using overseer. Higher conductivity increases predicted leaching, with values stabilizing beyond 3 mm/day; validated scenario intersects at 7.2 mm/day and 100 kg N/ha.
Figure 6. Effect of hydraulic conductivity on simulated nitrate leaching: sensitivity analysis using overseer. Higher conductivity increases predicted leaching, with values stabilizing beyond 3 mm/day; validated scenario intersects at 7.2 mm/day and 100 kg N/ha.
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Figure 7. Effect of incorporated crop material on nitrate leaching: sensitivity analysis based on overseer simulation. Simulated leaching losses increase with crop material input, highlighting the model’s responsiveness to residue-driven N surplus.
Figure 7. Effect of incorporated crop material on nitrate leaching: sensitivity analysis based on overseer simulation. Simulated leaching losses increase with crop material input, highlighting the model’s responsiveness to residue-driven N surplus.
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Figure 8. Validation of overall measured and Overseer-simulated NO3 leaching losses below 60 cm for the two years from lysimeter studies. The solid line is the 1:1 line. Significance *** p < 0.001.
Figure 8. Validation of overall measured and Overseer-simulated NO3 leaching losses below 60 cm for the two years from lysimeter studies. The solid line is the 1:1 line. Significance *** p < 0.001.
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Table 1. Simulation scenarios used in Overseer to predict NO3 leaching losses in year 1 and year 2.
Table 1. Simulation scenarios used in Overseer to predict NO3 leaching losses in year 1 and year 2.
ScenarioSymbolFertilizer Treatment/Simulation Scenarios in Year 1Fertilizer Treatment/Simulation Scenarios in Year 2
1CTRLNo N applicationNo N application
2CRF 1N-Control 75 of 79.2 kg N/haN-Control 75 of 48.6 kg N/ha
3CRF 2Two splits of N-Control 75 of 79.2 kg N/haTwo splits of N-Control 75 of 48.6 kg N/ha
4STD 1CAN of 81 kg N/ha CAN of 48.6 kg N/ha
5STD 2Four splits of CAN 81 kg N/haFour splits of CAN 48.6 kg N/ha
6EXC 1CAN of 162 kg N/haCAN of 97.2 kg N/ha
7EXC 2Two splits of CAN of 162 kg N/haTwo splits of CAN of 97.2 kg N/ha
An additional N input of 36 kg N/ha of Nitrophoska was included in scenarios 2, 3, 4, 5, 6 and 7 for year 1. Scenarios 2, 4 and 6 were treated as single applications. CAN refers to Calcium Ammonium Nitrate.
Table 2. Key soil profile information used in Overseer for simulating NO3 leaching.
Table 2. Key soil profile information used in Overseer for simulating NO3 leaching.
Input DataDepth (cm)Conditions/Values Defined
Impeded layer depth-No barrier (free draining)
Drainage class-Well-drained
Topsoil texture0–10Loam
Bulk density (kg/m3)0–101221
Saturated hydraulic conductivity (mm/day)10–601740
Topsoil C%0–102.1
Sand%0–1029.0
Clay%0–1021.0
Clay%10–6038.5
Olsen P (µg/g)10–6039.1
K (g/kg)10–600.37
Ca (g/kg)10–6014.7
Mg (g/kg)10–600.9
Na (g/kg)10–600.3
Table 3. Crop management data used in the Overseer for beetroot and pak choi cultivation.
Table 3. Crop management data used in the Overseer for beetroot and pak choi cultivation.
Input DataBeetrootPak Choi
Maximum rooting depth (cm)2020
Date sown16 January, year 114 January, year 2
Date harvested27 April, year 16 April, year 2
Postharvest residue managementHarvest material and residue retainedHarvest material removed; Residues retained
Month ryegrass sownJuly and September, year 1July, year 2
Month ryegrass harvested-1 cut October, year 2
2 cut November, year 2
Table 4. Key management information used in the Overseer model for beetroot and pak choi cropping in year 1 and year 2.
Table 4. Key management information used in the Overseer model for beetroot and pak choi cropping in year 1 and year 2.
No.Input VariablesSimulation Scenarios
CTRLCRF 1CRF 2STD 1STD 2EXC 1EXC 2
Beetroot (year 1)
1.Soil residual N (kg N/ha)32323232323232
2.Fresh yield (t/ha)64706965737065
3.Month and amount of fertilizer application (kg N/ha) (including Nitrophoska)0January, 115.2January, March 115.2January, 117.0January, February 117.0January, 198.0January, 198.0
4.Amount of incorporated harvest material, dry matter (DM) and N concentration
(a) BeetrootsAmount (kg)63,63270,20868,56065,11272,62069,88865,024
DM%18141416171615
N%3.33.52.73.03.42.73.5
(b) Beetroot leavesAmount (kg)33,69634,54434,08035,77638,92832,49636,736
DM%11111111111211
N%2.52.82.62.72.72.52.9
Pak choi (year 2)
1.Soil residual N (kg N/ha)92.2110.497.480.912084.294.4
2.Fresh yield (t/ha)102117112111114130124
3.Amount of harvest material incorporated0000000
4.Month and amount of fertilizer application (kg N/ha)0January, 48January, March 48January, 49January, March 48January, 97January, March 98
Table 5. Measured and Overseer simulated values of cumulative (annual) drainage losses below 60 cm soil depth.
Table 5. Measured and Overseer simulated values of cumulative (annual) drainage losses below 60 cm soil depth.
YearSimulation ScenarioCumulative Water Drainage (mm)
Measured (Mean ± 95% C.I)Overseer Predicted
Year 1CTRL440 ± 183621
CRF 1425 ± 221621
CRF 2641 ± 162621
STD 1490 ± 230621
STD 2439 ± 140621
EXC 1466 ± 109621
EXC 2410 ± 255621
Year 2CTRL422 ± 368556
CRF 1383 ± 220529
CRF 2559 ± 147529
STD 1482 ± 380556
STD 2522 ± 288556
EXC 1431 ± 265529
EXC 2439 ± 290529
Values indicate that simulated values are not within the 95% C.I of the measured values. Overseer predictions are deterministic single values without replication.
Table 6. Comparison of measured and Overseer-simulated NO3 leaching losses under beetroot cultivation across fertilizer treatments (kg N/ha).
Table 6. Comparison of measured and Overseer-simulated NO3 leaching losses under beetroot cultivation across fertilizer treatments (kg N/ha).
TreatmentsMeasured Leaching Losses (kg N/ha)Overseer Predicted Leaching Losses
(kg N/ha)
CTRL260.9 ± 78.5266
CRF 1299.2 ± 55.2326
CRF 2404.2 ± 37.5273
STD 1299.6 ± 67.3344
STD 2302.1 ± 50.2392
EXC 1277.0 ± 52.2313
EXC 2286.9 ± 73.2356
Measured leaching losses are mean ± standard error (n = 5). Overseer predictions are deterministic single values without replication.
Table 7. Comparison of measured and Overseer-simulated NO3 leaching losses under pak choi cultivation across fertilizer treatments (kg N/ha).
Table 7. Comparison of measured and Overseer-simulated NO3 leaching losses under pak choi cultivation across fertilizer treatments (kg N/ha).
TreatmentsMeasured Leaching Losses (kg N/ha)Overseer Predicted Leaching Losses (kg N/ha)
CTRL73.4 ± 18.4120
CRF 176.4 ± 15.6101
CRF 2111.2 ± 22.897
STD 196.7 ± 29.4130
STD 278.3 ± 16.9131
EXC 193.4 ± 22.1112
EXC 295.5 ± 22.671
Measured leaching losses are mean ± standard error (n = 5). Overseer predictions are deterministic single values without replication.
Table 8. Statistical evaluation of Overseer-simulated NO3 leaching losses from different scenarios.
Table 8. Statistical evaluation of Overseer-simulated NO3 leaching losses from different scenarios.
YearSimulationsMdRMSEEr%
Year 1CTRL−5.0 ns157.0−0.4
CRF 1−26.8 ns113.7−1.8
CRF 2131.1 *151.06.5
STD 1−13.3 ns135.3−0.9
STD 2−53.8 ns114.0−3.5
EXC 1−66.9 ns124.1−4.8
EXC 2−105 ns180.3−7.3
Year 2CTRL−46.6 ns59.4−12.7
CRF 124.6 ns39.8−6.4
CRF 214.2 ns47.82.5
STD 1−33.2 ns67.6−6.8
STD 2−52.7 *62.6−13.4
EXC 1−18.5 ns48.0−3.9
EXC 224.5 ns51.55.1
Significance * p < 0.05 ns—non-significant.
Table 9. Values of the goodness of fit criteria computed for overall performance for Overseer simulated NO3 leaching losses.
Table 9. Values of the goodness of fit criteria computed for overall performance for Overseer simulated NO3 leaching losses.
Statistical ParameterNO3 Leaching Loss
(kgN/ha)
p Value
Correlation coefficient (r)0.89<0.0001
Slope (b)0.89<0.0001
Intercept (a)39.40.21
Table 10. Nitrogen budget summary based on Overseer predictions.
Table 10. Nitrogen budget summary based on Overseer predictions.
ScenarioApplied N (kg/ha)Predicted Uptake (kg/ha)Uptake Above CTRL (kg/ha)Predicted Leaching (kg/ha) Surplus N (kg/ha)
Year 1
CTRL0290266
CRF179.23031332666.2
CRF279.23001027369.2
STD181293334478
STD2813081839263
EXC116230313313149
EXC21622922356160
Year 2
CTRL0473120
CRF148.6520471011.6
CRF248.6504319717.6
STD148.65033013018.6
STD248.6513401318.6
EXC197.2562891128.2
EXC297.2387−8671183.2
Surplus N = (Applied N—(Predicted uptake—Predicted uptakeCtrl)).
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MDPI and ACS Style

Bawatharani, R.; Grafton, M.; Jeyakumar, P. Validation of the Overseer Cropping Model for Estimating Nitrate Leaching Losses in Precision Agriculture. Nitrogen 2026, 7, 17. https://doi.org/10.3390/nitrogen7010017

AMA Style

Bawatharani R, Grafton M, Jeyakumar P. Validation of the Overseer Cropping Model for Estimating Nitrate Leaching Losses in Precision Agriculture. Nitrogen. 2026; 7(1):17. https://doi.org/10.3390/nitrogen7010017

Chicago/Turabian Style

Bawatharani, Raveendrakumaran, Miles Grafton, and Paramsothy Jeyakumar. 2026. "Validation of the Overseer Cropping Model for Estimating Nitrate Leaching Losses in Precision Agriculture" Nitrogen 7, no. 1: 17. https://doi.org/10.3390/nitrogen7010017

APA Style

Bawatharani, R., Grafton, M., & Jeyakumar, P. (2026). Validation of the Overseer Cropping Model for Estimating Nitrate Leaching Losses in Precision Agriculture. Nitrogen, 7(1), 17. https://doi.org/10.3390/nitrogen7010017

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