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a Dep. of Agricultural and Biosystems Engineering, Iowa State Univ
b USDA-ARS, National Soil Tilth Laboratory, Ames, IA 50011
c USDA-ARS, Great Plains System Research Unit, Fort Collins, CO 80522
* Corresponding author (rskanwar{at}iastate.edu).
Received for publication July 5, 2002.
| ABSTRACT |
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Abbreviations: As, age parameter CRM, coefficient of residual mass D, difference between predicted and observed data DOY, day of year DP, drainable porosity EF, model efficiency ET, evapotranspiration FWANC, flow-weighted average nitrate concentrations in subsurface drainage water MSEA, management system evaluation area Nmax, nitrogen-uptake coefficient RMSE, root mean square error RZWQM, Root Zone Water Quality Model with Windows interface
| INTRODUCTION |
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Computer simulation models offer efficient and cost-effective alternatives to field experiments for evaluating the impact of different farming practices on soil and water quality (Bakhsh et al., 2000a; Knisel and Turtola, 2000). The RZWQM incorporates the state-of-the-science knowledge of agricultural systems into a tool for agricultural research and management, environmental assessment, and technology transfer (Ma et al., 2000). The RZWQM is a one-dimensional (vertical soil profile) field-scale model. It integrates physical, chemical, and biological processes to simulate plant growth, water, nutrients, and pesticide movement within the soil profile for a representative point in the field. The model uses the Green-Ampt equation to simulate infiltration and the one-dimensional Richard's equation to redistribute water within the soil profile. The model uses the modified BrooksCorey equations to numerically represent the soil moisture and hydraulic conductivity relationships (Ahuja et al., 2000, p. 372). The nutrient submodel of the RZWQM defines the carbon and N-transformation processes within the soil profile using an interlinked multipool approach for organic matter cycling (Ma et al., 1998). The generic plant growth submodel simulates the response of plants to the environment. A detailed description of RZWQM can be found in Ahuja et al. (2000)(p. 372).
An earlier version (v. 3.2) of the RZWQM was evaluated by several scientists working on the management system evaluation area (MSEA) sites using data collected from several sites from 1991 to 1994. These studies included soil-water and pesticide components (Wu et al., 1999); runoff and chemical losses to runoff (Ghidey et al., 1999); plant, soil, and water parameters (Jaynes and Miller, 1999; Martin and Watts, 1999); and plant production components (Landa et al., 1999). The RZWQM has been improved since then (Ma et al., 2000), however, and more data have been collected at the MSEA sites. Therefore, this study was designed to evaluate the latest improved version of the RZWQM (Ahuja et al., 2000, p. 372) using one of the MSEA sites in Iowa with the following objectives: (i) Calibrate and validate the RZWQM to simulate subsurface drain flows and NO3N losses in subsurface drainage water beneath cornsoybean rotation system using 6 yr (1992 to 1997) of field-measured data for a field within Walnut Creek watershed; (ii) simulate NO3N leaching potential with subsurface drainage flow under different N-application rates; and (iii) estimate the fraction of applied N lost with subsurface drainage water based on different N-scenario simulations.
| MATERIALS AND METHODS |
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A 44.5-ha field from within the Walnut Creek watershed was selected for this simulation study because it has been intensively monitored from 1992 to 1997. This field is comprised of Canisteo (fine-loamy, mixed, superactive, calcareous, mesic Typic Endoaquolls), Clarion (fine-loamy, mixed, superactive, mesic Typic Hapludolls), Harps (fine-loamy, mixed, superactive, mesic Typic Calciaquolls), Nicollet (fine-loamy, mixed, superactive, mesic, Aquic Hapludolls), Okoboji (fine, smectitic, mesic Cumulic Vertic Endoaquolls), and Webster soils, with a major portion (34%) of Webster soil in the field. Soil physical properties of Webster soil were used in the model (Table 1). The field had been under a long-term cornsoybean rotation with chisel plowing in the fall after corn harvest and spring cultivation before planting and field cultivation during the growing season to control weeds. Corn was planted in 750-mm rows in 1993, 1995, and 1997. Soybean was planted in 350-mm rows in 1992, 1994, and 1996. Nitrogen fertilizer at the rate of 90 kg ha1 was applied to corn as NH3 injected 1 wk before planting, and no N fertilizer was applied to soybean (Table 2). The field was owned, managed, and operated by a farmer-cooperator in the MSEA program (Hatfield et al., 1999).
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Model Input Data
Meteorological data measured on-site were comprised of daily minimum and maximum temperatures, hourly wind speed, solar radiation, and actual and saturated vapor pressure (relative humidity). Daily values were used in the model input files. Hourly rainfall data, available from a tipping-bucket apparatus, were used to prepare the breakpoint input file. The procedures for these measurements are explained in Hatfield et al. (1999).
The RZWQM requires input of soil physical properties for sand, silt, and clay fractions, bulk density, and 0.03-MPa field capacity values for each discrete soil horizon of the specified soil profile (Table 1). These data were available from measurements made by the USDA (1994) from a soil profile within the watershed. Management data for tillage, planting, and fertilizer operations were required as model input (Table 2).
The initial values for soil water content, soil temperature, crop residue, organic matter, and microbial N pools were obtained from a nearby site study (Bakhsh et al., 2001). Both these sites have been under similar management (cornsoybean rotation) and climate, and were operated by the farmers. These initial values, however, were tested against the steady state values obtained following the approach of Ma et al. (1998), and no difference was observed. Further details of this approach can be found in Ma et al. (1998) and Bakhsh et al. (2001). Drainage information was set equal to the average subsurface drain depth of 1.2 m, drain radius of 100 mm, and drain spacing of 33 m. The option of constant flux (only with water table), available in the model, was used as the bottom boundary condition.
Model Calibration
The model was calibrated for the hydrologic, nutrient, and plant growth components sequentially. During hydrologic calibration, the subsurface drainage flow simulations were compared with measured data and the corresponding parameters were adjusted as described by Hanson et al. (1999). Drainable porosity (DP; difference between porosity and field capacity) and hydraulic conductivity were the key parameters in adjusting the subsurface drainage flow (Shirmohammadi et al., 1998; Bakhsh et al., 2001). The 1992 year was selected for calibration of the hydrologic component because it had annual precipitation of 801 mm, close to the normal annual precipitation of 818 mm for this area (Hatfield et al., 1999) and because 1992 began the simulation sequence. In addition to statistical measures used for model validation based on 5 yr (19931997) data, the calibration criteria also focused on minimizing the difference between measured and simulated subsurface drainage flow data and matching peaks of the observed and simulated drain flow hydrographs.
The calibration of the nutrient component for 1992 was a critical process because of several soil, plant, climate, and management parameter effects on N-transformation processes and a lack of observed data for various processes (e.g., mineralization, nitrification, and denitrification rates) for the study field. The approach suggested by Hanson et al. (1999) and Ma et al. (1998) was used to calibrate the nutrient submodel. The initial N-pool values, however, are very important for adequate simulations of nitrate leaching losses with subsurface drainage flows. The nitrate leaching losses with subsurface drainage flows were affected by adjusting the plant N-uptake parameter, which also affected the crop yield predictions.
Plant growth components of the model were initialized using plant parameters recommended for Iowa conditions (Hanson et al., 1999). The measured crop yield data for this particular field were not available because it was managed by the farmer. The corn grain yield data, however, for another field within Walnut Creek watershed reported by Jaynes and Miller (1999), a nearby field by Bakhsh et al. (2001), and for Iowa conditions by Hanson et al. (1999) were utilized during the calibration of the plant component. The age parameters (As) were adjusted to control crop yield predictions while maintaining the recommended limits of harvest index (ratio of yield from seeds to total biomass above the ground) between 52 to 55% (Hanson et al., 1999). Corn grain yield for 1993 was calibrated by adjusting the nitrogen-uptake coefficient (Nmax) and As, while the other regional parameters (Table 3) were left unchanged because of a lack of measured data on plant biomass. After calibration, the 6-yr model simulations were made with a single run from 1 Jan. 1992 through 31 Dec. 1997. These continuous simulations were made to avoid any further initialization process for the subsequent years.
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Percentage of Difference
The MSEA model applications team required simulated yield estimates to match the model predictions and observed attributes within 15% (Hanson et al., 1999). The goodness of fit statistic was %D, the percentage of difference between the predicted (Pi) and observed (Oi) indicator variables (Ahuja et al., 2000, p. 372).
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Loague and Corwin (1996) suggested that a model's performance is judged acceptable if it is not possible to reject the hypothesis of no difference between observed and predicted values. The standard way of validating a model, however, would be to apply certain tests to assess the goodness of fit of the model predictions. Loague and Green (1991) and Vinten et al. (1991) applied the following four measures to judge the model's prediction capability.
Root Mean Square Error
The value of root mean square error (RMSE) should be equal to zero for a model showing perfect fit between the observed and predicted data:
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Coefficient of Determination
This measure shows proportion of the total variance explained by the model and its value is 1.0 for a perfect fit between the observed and predicted data:
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Model Efficiency
The EF is a measure of the deviation between model predictions and measurements relative to the scattering of the observed data (Wu et al., 1999). The EF is calculated using the Nash and Sutcliffe (1970) relationship and its value is 1.0 for a perfect fit:
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Coefficient of Residual Mass
This indicator shows the difference in observed and predicted data relative to the observed data and is similar to the percentage difference discussed above when multiplied by 100:
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is the average of the observed data, and i is the number of observations ranging from 1 to n. | RESULTS AND DISCUSSION |
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Calibration of the hydrologic component of the model using measured subsurface drainage flow data revealed that DP and hydraulic conductivity were the key parameters in adjusting the simulated subsurface drainage flow hydrograph (Shirmohammadi et al., 1998; Bakhsh et al., 2001). The adjustment of DP values during calibration of subsurface drainage flow accounted for effects of spatial variability of soil properties and enabled a single soil profile to represent the actual complex field conditions (Bakhsh et al., 2000b; Knisel and Turtola, 2000; Ma et al., 2000). The DP value for a certain horizon controlled water movement for that particular horizon. The DP of the top layer was critical because it affected subsurface drainage and evapotranspiration (ET) rates. When drainage was limited by DP, soil evaporation was greater than expected. The DP was varied from 0.27 to 0.19 from the top horizon to the bottom. Adjustment of DP values and the initial soil moisture contents helped bring the predicted subsurface drainage flow of 1992 (calibration year) closer to the measured data (Fig. 1) .
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Calibration of the nutrient and plant components was interrelated because adjustment of one parameter such as Nmax affected both nitrate leaching loss and crop yield predictions. Therefore, simulation of only nitrate drainage losses without including the plant component may introduce error in the calibration parameters.
Nitrate Leaching Losses with Subsurface Drainage Water
Observed annual subsurface drainage flows were sensitive to the annual amount of precipitation. The maximum drainage volume of 606 mm was observed in 1993, which had an annual precipitation of 1290 mm (58% > normal). The minimum drainage effluent was 68 mm in 1994, which had an annual precipitation of 560 mm (32% < normal). Simulated subsurface drainage flow agreed with the measured data trend. The overall difference between measured and predicted subsurface drainage flow, when averaged across validation years (19931997), was <5% (225 vs. 223 mm) (Table 4). Similarly, model evaluation based on various indicators of RMSE (= 6.7%), R2 (= 1.1), EF (= 0.99), and coefficient of residual mass (CRM = 0.0), was found to be satisfactory (Table 4). A EF value close to 1.0 indicates a good match between observed and simulated subsurface drainage (Saleh et al., 2000). Temporal evaluation of the model response on a yearly basis was also compared by plotting the daily observed and predicted data of subsurface drainage and NO3N losses in subsurface drainage water for all 6 yr (Fig. 1 to 6)
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Model simulations of subsurface drainage for 1993 followed the trend of observed data closely (Fig. 2), although some of the peaks were underestimated. Overall, the model predicted 98% of the observed subsurface drainage, and %D was <5% (592 vs. 606 mm) between the predicted and measured data (Table 4). Similarly, temporal evaluation of the model for NO3N leaching losses with subsurface drainage flow was adequate, and the model responded to all the observed peaks (Fig. 2). Overall, the model overpredicted the annual amount of NO3N drainage losses by 35% (85 vs. 63 kg ha1) in 1993. This year was very wet compared with all other years, and heavy rainfall events may have caused excessive flushing of NO3N with subsurface drainage flow.
Rainfall before and after the growing season also caused sharp rises in subsurface drainage flow along with increased NO3N leaching losses in subsurface drain flow (Fig. 3). The model underpredicted subsurface drain flow for 1994 because this year had the lowest rainfall among all 6 yr. Better predictions of NO3N leaching losses in subsurface drain flow were observed for 1995 (Fig. 4), and the %D was found to be <5% (11.9 vs. 11.6 kg ha1) between observed and predicted data. Subsurface drainage flows, however, were overestimated by 22% (153 vs. 125 mm) for this year. The model output matched measured subsurface drain flow data well for 1996 and 1997 (Fig. 5 and 6), but NO3N leaching losses were underestimated for these years (Table 4). Although the predicted volume of subsurface drainage flow for 1996 was in good agreement with the measured data, temporal predictions of subsurface drainage flow for 1996 were poor during the early part of the growing season, which could be due to less rainfall after harvest in 1995 and because the model simulated water table values deeper from the ground surface.
The overall analysis of the model simulations for subsurface drainage flows during validation years showed that the annual volume of predicted subsurface drain flow was adequate for most of the years having rainfall closer to the normal precipitation. Similarly, the overall evaluation of the model for simulating NO3N leaching losses in subsurface drainage water was acceptable. On the average, the %D between simulated and measured values for validation years was about 13% (26 vs. 23 kg N ha1) with other indicators RMSE = 44.5%, R2 = 0.5, EF = 0.8, and CRM = 0.1 (Table 4). Some discrepancies exist in simulations of NO3N leaching losses, which could be due to macropore flow during heavy rainfall events before and after the crop harvest (Fig. 1 and 3). The macropore option of the model was not invoked in this study because of lack of information on macroporosity. Moreover, this field was managed by the farmer, and the best estimate of N-application rate provided by the farmer at the rate of 90 kg N ha1 was used during simulations, which might have affected the nitrate leaching loss simulations.
Flow-weighted average nitrate concentrations (FWANC) are commonly reported as better indicators for evaluating chemical loads (Jaynes et al., 1999). The model overpredicted FWANC in 1993 and 1994 because of a prediction of large NO3N losses and drainage for these years, and underpredicted FWANC for the other years. The overall model simulations of FWANC, however, were within 5% of the observed values when averaged across the validation years (19931997) (Table 4) showing the RMSE = 29.9%, R2 = 0.3, EF = 3.8, and CRM = 0. The low values of R2 and EF showed a lack of correlation between the two simulated results and observed data. The computations of FWANC were affected by the accuracy in predictions of subsurface drain flow and NO3N losses. The errors in simulation of subsurface drain flow and NO3N losses in subsurface drain flow also become compounded for FWANC computations because a lower value of subsurface drain flow (denominator) can result in a higher FWANC value.
Predictions of corn grain yields were satisfactory because the average predicted grain yields were in close agreement with the reported measured grain yield data for Iowa conditions by Jaynes and Miller (1999), Bakhsh et al. (2001), and Hanson et al. (1999). On average, the %D between simulated and reported measured grain yield was <10% for corn (9447 vs. 8815 kg ha1) for the validation years. The model overpredicted the soybean yields by 20% (2889 vs. 2388 kg ha1) (Table 4). The timing of water and N uptake has been reported to be a very important factor in crop model simulations (Hanson et al., 1999). These errors could be due to the delicate balance among water, N uptake, and crop growth processes. The simulation of soybean growth processes seems to be more sensitive to climate because soybean does not receive any fertilizer and its growth is mainly driven by climatic parameters. The algorithms, however, dealing with N2 fixation and N-uptake processes, may need further refinements.
Nitrogen-Scenario Simulations
After calibrating and testing the model, different N-scenario simulations were made using a single run from 1992 through 1997. Rates of applied N ranged from 0 to 180 kg ha1 at 30 kg ha1 increments in the corn phase of production. Corn grain yield response function varied slightly from year to year because of rainfall variability. With no N application, the predicted corn grain yield varied from 3546 kg ha1 for 1993 (Fig. 7)
to 6170 kg ha1 for 1997 (Fig. 8)
. The N-application rate was increased to 30 kg ha1, which resulted in a 67% increase in corn yield for 1993, a 23% increase in 1995, and a 30% increase for 1997. Similarly, doubling the N-application rate from 30 to 60 kg ha1 resulted in a 20% increase in yield for 1993, a 31% increase for 1995, and a 24% increase for 1997. Increasing the N-application rate from 60 to 90 kg ha1 increased corn grain yield for 1993 (Fig. 7), decreased the yield for 1995, and made a slight increase for 1997 (Fig. 8). The corn grain yield response function reached a plateau when N-application rates exceeded 90 kg ha1 in 1993 and 60 kg ha1 in 1995 and 1997. The best scenario simulations were observed for 1997, when doubling the N-application rate from 30 to 60 kg ha1 increased the corn grain yield by 24% but reduced the nitrate leaching losses by 3%.
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On average, these scenarios showed that when up to 60 kg N fertilizer ha1 was used, each kilogram of N application resulted in an increase of 59 kg ha1 corn grain yield. The increase in N-application rate from 60 to 90 kg ha1 resulted in only a 6% increase in corn grain yield, and 14% increase in nitrate leaching losses. Further increases in the N-application rate did not increase the corn grain yield for any of the remaining years, but each addition of 30 kg N ha1 increased nitrate leaching losses by 15 to 16%. The fraction of applied N lost with subsurface drainage water varied with N-application rates. On average, 25 kg N ha1 was leached in subsurface drainage flow with no N application, and this loss increased to 54 kg N ha1 at 180 kg N ha1 (Fig. 8). On the basis of different N-scenario simulations, the fraction of applied N lost in subsurface drainage water ranged from 7 to 16% when the N-application rate varied from 30 to 180 kg ha1 after accounting for the NO3N losses with no N-fertilizer application.
Baker and Timmons (1994) at a nearby site in central Iowa on the Clarion-Nicollet-Webster Soil association showed that fertilizer accounted for 17% of the total NO3N leaching loss in the first year following subsurface banding of urea ammonium nitrate (UAN) solution. In the second and third year after fertilizer application, fertilizer N (applied in Year 1 and remineralized in Years 2 and 3) accounted for 25 and 7% of the NO3N leaching losses, respectively. Cambardella et al. (1999), in data collected from the Walnut Creek watershed, reported that fertilizer N directly accounted for <25% of the NO3N lost to subsurface drainage water in the year it was applied. Jaynes et al. (1999) reported that NO3N drainage loss varied from 10 to 50% of the applied N for the dry and wet year, respectively. They further emphasized that care must be taken to interpret the nitrate drainage loss in terms of the applied fertilizer rates because it is not the only source contributing to the loss. Randall and Iragavarapu (1995) also found from their 11-yr study conducted in Minnesota that 20 to 21% of the fertilizer applied in a given year was lost to tile drainage with both conventional and no-tillage systems. In general, for maize, crop uptake can remove 50% of the applied N, and the remaining 50% can be divided approximately between leaching and denitrification (Allison, 1966; Gentry et al., 1998). Patni et al. (1996) found N loss to range from 10 to 39 kg N ha1 yr1 under conventional tillage on maize fields in Ontario (730% of applied fertilizer), with loss primarily a function of precipitation amount during the dormant season. A simulation study conducted in Minnesota by Davis et al. (2000) predicted annual average NO3N loss through subsurface drains (44.6 kg ha1) to be about 22.9% of the applied N. The RZWQM simulation results were in close agreement with these earlier studies, suggesting that the model has the potential to simulate the impact of N-application rates on corn grain yields and NO3N leaching losses in subsurface drainage water.
| CONCLUSIONS |
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| NOTES |
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1 Use of trade names is for reader information and does not imply any endorsement by USDA-ARS or Iowa State University. ![]()
| REFERENCES |
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