Published online 27 October 2006
Published in J Environ Qual 35:2026-2042 (2006)
DOI: 10.2134/jeq2005.0249
© 2006 American Society of Agronomy, Crop Science Society of America, and Soil Science Society of America
677 S. Segoe Rd., Madison, WI 53711 USA
TECHNICAL REPORTS
Ground Water Quality
Field Evaluation of a Model for Predicting Nitrogen Losses from Drained Lands
Mohamed A. Youssefa,*,
R. Wayne Skaggsa,
George M. Chescheira and
J. Wendell Gilliamb
a Department of Biological and Agricultural Engineering., North Carolina State University, Raleigh, NC 27695
b Department of Soil Science, North Carolina State University, Raleigh, NC 27695
* Corresponding author (mohamed_youssef{at}ncsu.edu)
Received for publication June 22, 2005.
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ABSTRACT
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The N simulation model, DRAINMOD-N II, was field-tested using a 6-yr data set from an artificially drained agricultural site located in eastern North Carolina. The test site is on a nearly flat sandy loam soil which is very poorly drained under natural conditions. Four experimental plots, planted to a corn (Zea mays)wheat (Triticum aestivum L.)soybean (Glycine max.) rotation and managed using conventional and controlled drainage, were used in model testing. Water table depth, subsurface drainage, and N concentration in drain flow were measured and meteorological data were recorded continuously. DRAINMOD-N II was calibrated using the data from one plot; data sets from the other three plots were used for model validation. Simulation results showed an excellent agreement between observed and predicted nitrate-nitrogen (NO3N) losses in drainage water over the 6-yr period and a reasonable agreement on an annual basis. The agreement on a monthly basis was not as good. The Nash-Sutcliffe modeling efficiency (EF) for monthly predictions was 0.48 for the calibration plot and 0.19, 0.01, and 0.02 for the validation plots. The value of the EF for yearly predictions was 0.92 for the calibration plot and 0.73, 0.62, and 0.10 for the validation plots. Errors in predicting cumulative NO3N losses over the 6-yr period were remarkably small; 1.3% for the calibration plot, 8.1%, 2.8%, and 4.0% for the validation plots. Results of this study showed the potential of DRAINMOD-N II for predicting N losses from drained agricultural lands. Further research is needed to test the model for different management practices and soil and climatological conditions.
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INTRODUCTION
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DESPITE BEING THE FOCUS OF RESEARCH for many years, developing management practices that minimize the negative environmental impacts of crop production remains a challenge (Meisinger and Delgado, 2002; Dinnes et al., 2002; Gilliam et al., 1999). This complex task requires understanding N dynamics in the soilwaterplant system, which is regulated by a large number of interacting and sometimes highly dynamic physical, chemical, and biological processes. Relying only on experimentation to investigate the long term effects of different management scenarios on N fate and transport at the field scale for different soil types and climatic conditions is time-consuming and expensive. Computer models such as RZWQM (Ahuja et al., 2000), SOILN (Johnsson et al., 1987; Eckersten et al., 1998), ANIMO (Groenendijk and Kroes, 1997), DAISY (Hansen et al., 1993), CERES-N (Godwin and Jones, 1991), and LEACHM (Hutson, 2000) can be utilized to study N dynamics in agro-ecosystems when the experimental approach proves to be impractical. In fact, computer modeling and experimentation complement each other and, if used together, can lead to better understanding of N dynamics in agro-ecosystems, and thus improve the process of development and evaluation of best management practices for sustainable agriculture.
DRAINMOD-N II (Youssef, 2003; Youssef et al., 2005) is a field-scale, process-based model that was developed to simulate carbon and N dynamics in drained agricultural lands for a wide range of soils, climates, and management practices. Once validated, it can be used for the development and evaluation of methods that reduce N losses from drained croplands. DRAINMOD-N II simulations can be conducted to study the long term effects of drainage design and management, cropping systems, N fertilizer management, tillage and plant residue management, and their interactions on N losses from drained croplands for different soils and climates. This paper reports the first validation of DRAINMOD-N II using a 6-yr data set from an artificially drained agricultural research site located in eastern North Carolina.
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MATERIALS AND METHODS
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Predicting N fate, at the field scale, using DRAINMOD-N II is a two-step process. The water management model, DRAINMOD (Skaggs, 1978), first simulates water and heat flow and then DRAINMOD-N II simulates N transport and transformations. In the next two sections, both DRAINMOD and DRAINMOD-N II are briefly described. A detailed description of both models can be found elsewhere (Skaggs, 1999; Youssef et al., 2005).
The Water Management Model, DRAINMOD
DRAINMOD (Skaggs, 1978) was developed for design and evaluation of agricultural drainage and related water management systems. It uses functional algorithms to approximate the hydrologic components of shallow water table soils. It conducts a water balance on a day-by-day, hour-by-hour basis and calculates infiltration, evapotranspiration (ET), subsurface drainage, surface runoff, subirrigation, deep seepage, water table depth, and soil water status at each time step.
The model calculates infiltration using the GreenAmpt equation. Daily potential ET (PET) can be calculated by the Thornthwaite method or computed by the method of user's choice (e.g., PenmanMonteith) and read by the model as input data. Subsurface drainage is quantified using the Hooghoudt's equation for water table drawdown and Kirkham's equations for ponded surface conditions. Surface drainage is characterized by identifying a depressional storage that must be filled with water before runoff can begin (Skaggs, 1999).
The model numerically solves the heat flow equation and predicts soil temperature to simulate processes controlling field hydrology under cold conditions such as freezing, thawing, and snowmelt (Luo et al., 2000). It includes approximate methods to predict the effects of planting date delay, excessively wet or dry conditions, and soil salinity on relative crop yield (Evans et al., 1991). Over the past two decades, DRAINMOD has been extensively tested and proven to be a reliable model for simulating the hydrologic processes in artificially drained, high water table soils (Skaggs et al., 1981; Skaggs, 1982; Gayle et al., 1985; Rogers, 1985; Fouss et al., 1987; Cox et al., 1994).
The Nitrogen Model, DRAINMOD-N II
DRAINMOD-N II (Youssef, 2003; Youssef et al., 2005) is a field-scale, process-based model that simulates C and N dynamics in drained agricultural lands for a wide range of soil types, climatic conditions, and management practices. The model simulates a detailed N cycle (Fig. 1) that includes three soil N pools: nitrate-nitrogen (NO3N), ammoniacal-nitrogen (NHxN), and organic nitrogen (ON). The NHxN pool is set to be optional so it may be ignored if soil and environmental conditions do not favor its accumulation in the soil. Nitrogen processes and transformations considered in the model include atmospheric deposition, application of mineral N fertilizers and ON sources (plant residues/animal waste), plant uptake, N mineralization/immobilization, nitrification, denitrification, ammonia (NH3) volatilization, and NO3N and NHxN losses via subsurface drainage and surface runoff (Youssef et al., 2005).
DRAINMOD-N II includes a submodel that simulates C dynamics in the soilplant system according to a C cycle (Fig. 2) similar to that used in the CENTURY model (Parton et al., 1987; Parton et al., 1993). It includes three soil organic matter (SOM) pools (active, slow, and passive), two above- and below-ground litter pools (metabolic and structural), and a surface microbial pool. Each pool is characterized by its OC content, potential rate of decomposition and carbon/nitrogen (C/N) ratio. As OC flows among individual OM pools during OM decomposition, N mineralization/immobilization occurs depending on the C/N ratio of the decomposition products, the C/N ratio of organic materials resynthesized into each OM pool, and the synthesis efficiency factor. Carbon transformations among individual pools are assumed to follow first-order kinetics (Parton et al., 1987; Parton et al., 1993).

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Fig. 2. The carbon cycle as modeled in DRAINMOD-N II (MET = metabolic; STR = structural; LGN = lignin; CEL = cellulose; MCR = microbe; SURF = surface; ACT = active; SLO = slow; PAS = passive).
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The fertilizer component of the model is capable of simulating the application of the most widely used N fertilizers including anhydrous NH3 and urea. It simulates the short term processes that follow fertilizer application including fertilizer dissolution, urea hydrolysis and soil pH change induced by the application of urea and anhydrous NH3 (Youssef et al., 2005).
DRAINMOD-N II simulates the effects of tillage on C and N dynamics using a tillage intensity factor that reflects the level of soil disturbance caused by tillage operations. At the day of harvest, the model can return plant residues back to the system and update litter pools accordingly. The model can also simulate the application of animal waste to the soilplant system. The mineral N portion of the animal waste is handled by the fertilizer component of the model. The organic portion of the animal waste is handled by the SOM component of the model.
The model simulates urea hydrolysis, nitrification, and denitrification using Michaelis-Menten kinetics. The effect of nitrification inhibitors on the nitrification process is simulated using a response function that modifies process rate according to inhibitor concentration which declines according to a first-order decay rate. The influence of OC decline with depth on the denitrification process is implicitly simulated using an exponential depth function that reduces potential process rate with soil depth (Youssef et al., 2005).
In DRAINMOD-N II the potential N uptake for each crop is computed (Youssef et al., 2005) and empirically distributed over the days of the growing season (Brevé et al., 1997a). Both NO3 and NH4 are assumed to be equally available to plants. If one form is used up before satisfying plant needs, the rest is taken from the other form. If total mineral N is insufficient and the crop is not a legume, actual N uptake is set to the available amount of mineral N. Legumes are assumed to fix atmospheric N only when a shortage in soil mineral N occurs (Youssef et al., 2005).
Model inputs include soil properties, crop and management parameters, and C and N processes and transformations parameters. Model output includes NO3N and NHxN concentrations in soil solution and drain flow, OC content of the top 20-cm soil layer, and rates of simulated N processes on daily, monthly, and annual bases.
The Field Study
The performance of DRAINMOD-N II was evaluated using a 6-yr (1992 to 1997) data set from an artificially drained agricultural research site located at the Tidewater Experiment Station (TES) near Plymouth, in the North Carolina lower coastal plain. The nearly flat, 13.8-ha site is divided into eight experimental field plots, four of which were used in this testing (Fig. 3).
Soil on the site is Portsmouth sandy loam (fine-loamy over sandy or sandy-skeletal, mixed, semi-active, thermic, Typic Umbraquults), which is very poorly drained under natural conditions. The surface horizon, a black fine sandy loam with 3 to 5% organic carbon, is underlain by a horizon comprised of several layers of fine sandy loam, sandy clay loam, loamy sand, and sand. This horizon is underlain at about 2.4 m by a layer of tight marine clay deposit, about 6.1 m thick.
Two sets of parallel subsurface drains were installed on the site in 1985 and 1991. The drains in the first set were 0.8 to 1.0 m below ground surface and spaced 23 m apart. Drains in the second set were located midway between those in the first set, but at deeper depths of 1.1 to 1.3 m (Fig. 3). Each plot has six 10-cm diameter drains which outlet to an instrument house. Valves on drain outlets allowed each plot to be drained using the deep or the shallow drainage system. The center drain line of each drain set is instrumented to continuously measure drain flow rate and to provide flow-proportional water quality samples, collected biweekly or more frequently during high rainfall events. The outer drains on each plot serve as guard lines to hydraulically isolate the area drained by center drain line from the influence of adjacent experimental plots. Instrumentation in each house allows the individual field plots to be managed in conventional drainage, controlled drainage, or subirrigation modes. During 1992 to 1997, plots 2 through 5, which were used in this testing, were drained using the deep drainage system, managed in either conventional or controlled drainage (Table 1) (Munster et al., 1994; Chescheir et al., 1996).
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Table 1. Water table management (WTM) implemented for plots 2 through 5 of the TES site from November 1991 through June 1998.
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Water table elevations at two locations per plot were continuously monitored by 100-mm diameter wells equipped with automatic recorders and data loggers. Meteorological data including rainfall, air and soil temperature, relative humidity, wind speed and direction, solar radiation, and net radiation were recorded with a Campbell CR-10 weather station (Fig. 3). Additional tipping buckets and manual rain gauges were used to verify rainfall amounts.
Crop rotation on the study site consisted of three crops in 2 yr: corn, year 1, wheat, years 1 and 2, and soybean, year 2. This cropping sequence is common on many farmlands of the North Carolina lower coastal plains. Both conventional tillage and no-till practices were implemented on the site at different times during the observation period (Table 2). Conventional tillage operations included: one or two passes with a disk harrow, one or two passes with a chisel, and then bedding. Nitrogen fertilization followed common practices in the region with some exceptions for experimental reasons. Two N fertilization rates were used during some years as part of an experiment to study the effect of N fertilization on crop yield and N leaching losses (Table 2). Nitrogen fertilizer, mainly urea-ammonium nitrate (30% N) solution, was applied only to corn and wheat. Dolomitic lime was applied to the site three times from 1991 to 1997 (15 Nov. 1991, 8 Nov. 1993, 18 Nov. 1997) to control pH of the topsoil. Lime application rates followed soil test report recommendations (Chescheir et al., 1996).
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Table 2. Cropping sequence, tillage practices, and N fertilization rates for plots 2 through 5 of the TES site during November 1991 to June 1998.
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At the end of each growing season, crop yield and grain N content were determined for each plot. Grain yield was estimated by harvesting two subplots located 6 m on either side of the center drain line (Chescheir et al., 1996). Five grain samples were taken from each harvest subplot and analyzed to determine grain N content as described by Brevé (1994). A summary of measured crop yield and grain N content is given in Table 3.
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Table 3. Measured grain yield (on dry weight basis) and N content for crops grown on the TES site during November 1991 through June 1998.
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Model Evaluation
Hydrologic processes have a strong impact on N dynamics in the soilwaterplant system. Not only does groundwater flow directly influence N transport, but soil water status also plays a major role in regulating N processes and transformations. Therefore, it is imperative to accurately predict hydrologic processes to successfully simulate N dynamics in agroecosystems.
Driving hydrologic parameters of DRAINMOD-N II are based on the output of the water management model, DRAINMOD. Therefore, DRAINMOD performance is expected to have a direct impact on the performance of DRAINMOD-N II. For this study, which was the first field evaluation of DRAINMOD-N II, it was decided to calibrate DRAINMOD for each of the four experimental plots during the 6-yr period. This decision was made to minimize the errors in the hydrologic "predictions" and their impact on DRAINMOD-N II performance. Excluding DRAINMOD from the field testing is further justified by the fact that DRAINMOD has been extensively tested over more than two decades for a wide range of soils, crops, and climatological conditions (Skaggs, 1999).
DRAINMOD was manually calibrated by visually and statistically comparing observed and simulated water table depths and drainage volumes. Statistical performance measures used for comparing observed and simulated water table depths are the mean error, ME, the mean absolute error, MAE, and the Nash-Sutcliffe modeling efficiency, EF (Table 4). Observed and simulated subsurface drainage volumes were statistically compared using the EF and the percent-normalized error, NE (Table 4).
Modeling N dynamics for the TES site is a challenging task due to the year-to-year and plot-to-plot variability in many of the key parameters that affect N behavior in the system. Two water table management treatments were implemented: conventional drainage and controlled drainage. Both conventional tillage and no-till practices were used. Both legume (soybean) and non-legume crops (wheat and corn) were grown. Mineral N fertilizers were applied at the same rate during the first half of the test period; two rates of application were used in the latter half. The amount and pattern of rainfall varied considerably during the test period. Thus, modeling N dynamics for the TES site should represent an excellent test of DRAINMOD-N II. The TES experiment, however, was not designed for testing this new model and thus, many essential parameters that affect model predictions were not measured. Consequently, model inputs were mostly based on values reported in the literature (Youssef, 2003) rather than field/lab measurements.
DRAINMOD-N II was calibrated using the 6-yr data from plot 3; data sets from the other three plots were used for model validation. The model was manually calibrated by visual and statistical comparison of predicted and observed NO3N losses with drain flow. The EF and NE statistical performance measures were used in model calibration/validation (Table 4).
Hydrologic Parameters
DRAINMOD inputs include climatological data, soil properties, crop parameters, and drainage system parameters (Skaggs, 1980; Workman et al., 1994). An additional set of inputs is required for simulating heat flow and predicting soil temperature (Luo et al., 2000).
Climatological data collected at the site were used to generate DRAINMOD hourly rainfall and daily PET input files. Daily PET was estimated by the PenmanMonteith method (Jensen et al., 1990). Table 5 lists measured monthly rainfall and estimated monthly PET for the study period.
Soil parameters include lateral saturated hydraulic conductivity, soil water characteristic data, water table depth-volume drained-upward flux relationships, and GreenAmpt infiltration parameters. The soil water characteristic data used in simulating the hydrologic processes of the site were based on those measured by Brevé (1994). Other soil parameters were obtained through model calibration. Table 6 lists calibrated values of the lateral saturated hydraulic conductivity for each soil layer of plots 2 through 5 of the TES site.
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Table 6. Calibrated lateral saturated hydraulic conductivity (Ksat) values for plots 2 through 5 of the TES site.
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Drainage system parameters that describe the surface and subsurface components of the drainage system at the TES site are listed in Table 7. The depth of the surface depressional storage was obtained through model calibration. The drainage coefficient was determined based on the capacity of pumping drainage water out of the receiving tanks.
Crop parameters mainly include working day parameters, yield reduction parameters, and rooting depth parameters. Working day parameters describe the soil trafficability conditions required for soil tillage and seedbed preparation. Yield reduction parameters describe potential losses in crop yield due to excessively wet and dry conditions and planting date delays. The rooting depth parameters include, for each crop, a tabulated function that describes the effective rooting depth during the various stages of growth. Crop parameters used in this simulation were similar to those used by Brevé (1994) and Mohammad (1997).
Soil temperature parameters are required only if the model is set to simulate heat flow, which is necessary to accurately simulate field hydrology under cold conditions (Luo et al., 2000) and N dynamics (Brevé, 1994; Youssef, 2003). Soil temperature input parameters used in this simulation were based on values reported by Luo et al. (2000).
Nitrogen Parameters
DRAINMOD-N II inputs include soil, crop, management, N transport and transformations, and organic matter parameters.
Soil inputs of DRAINMOD-N II for the TES site, summarized in Table 8, were based on previous measurements (Munster, 1992; Brevé, 1994). Soil properties of the TES site were reported in detail by Brevé et al. (1997b). The NH4+ distribution coefficient was estimated as a function of clay content (Knisel et al., 1993).
Crop parameters include, for each crop in the rotation, crop species (legume/non-legume), N uptake tabulated function, and yield parameters. The N uptake tabulated function describes cumulative relative N uptake at various stages of crop growth. The uptake function developed by Shaffer et al. (1991) was used for the three crops grown on the site (Fig. 4). It was modified for wheat to account for the low demand for N during the early stages of the growing season (December and January) when plant growth is limited by low temperatures.
Yield parameters include potential crop yield, harvest index (HI), root/shoot ratio (RSR), and N content of plant grains, shoots, and roots. DRAINMOD-N II uses yield parameters to estimate total N uptake during the entire growing season. Potential crop yield is the maximum grain yield that would occur in the absence of any soil water-related stresses (Evans et al., 1991). In DRAINMOD-N II, grain yield is estimated as the product of potential yield and DRAINMOD-predicted relative yield. To exclude errors in DRAINMOD-N II predictions induced by differences between actual and predicted grain yields, potential yields were set to field-measured yields (Table 3) and DRAINMOD-predicted relative yields were overwritten to be 100%. This way both model-predicted and field-measured yields were identical for the purpose of this testing of DRAINMOD-N II.
Plant HI is the ratio of grain yield to the total above-ground biomass (Hay, 1995). The RSR is the mass ratio between root dry matter and shoot dry matter (Hoad et al., 2001). DRAINMOD-N II uses HI and RSR to estimate non-grain above-ground dry matter and below-ground dry matter from DRAINMOD-predicted or field-measured grain yield (Youssef et al., 2005).
Both HI and RSR were included in the initial phase of the calibration process. Calibrated values of the HI and RSR for wheat, soybean, and corn (Table 9) were within the published ranges for the three crops (Youssef, 2003). With one exception, each crop in the rotation was assigned the same HI and RSR throughout the simulation period. A smaller HI of 0.48 and a larger RSR of 0.16 were obtained for corn grown in 1993, which reflects the effects of the drought stresses occurred in June through August of that year (Table 5) on both parameters. A summary of measured grain N for crops grown on the site during the test period is given in Table 3. Published values of shoot N and root N for wheat, soybean, and corn (Youssef, 2003) were used to parameterize DRAINMOD-N II (Table 9).
Management inputs describe tillage, N fertilization, plant residue management, and animal waste application. For each tillage event, the model requires the plowing depth and a tillage intensity factor that ranges from 0 to 1 depending on the level of soil disturbance caused by tillage operations. For each N Fertilizer application, DRAINMOD-N II requires the rate and type of fertilizer N applied and the method of application. If a nitrification inhibitor is applied with the fertilizer, the inhibitor application rate is required. For the test site, tillage and N fertilization parameters were set according to management practices employed during the test period as summarized in Table 2. For conventional tillage, the plowing depth was set to 20 cm and the tillage intensity factor was adjusted to 0.5 during the initial phase of the calibration process.
Plant residue management parameters include two flags to indicate whether or not to recycle plant shoots and roots back into the system at the day of harvest. The model requires the biochemical composition of each recycled plant residue including N, C, and lignin contents. Biochemical composition inputs used in this study (Table 9) were based on values reported in the literature (Youssef, 2003). Nitrogen and lignin contents of both plant shoots and roots were adjusted within the published ranges during model calibration.
Transport parameters used in simulating N dynamics for the TES site are listed in Table 10. The longitudinal dispersivity was the only transport parameter included in model calibration. Transformation parameters include parameters for processes of fertilizer dissolution, urea hydrolysis, nitrification, denitrification, pH control, and volatilization.
Fertilizer dissolution parameters include a zero-order dissolution rate constant and a threshold soil water content below which fertilizer dissolution ceases. The fertilizer dissolution rate constant used in this study was 2.0 d1. The threshold water content for fertilizer dissolution was estimated as the soil water content at wilting point plus 25% of the difference between soil water content at saturation and wilting point (Breveé et al., 1997a).
Inputs for urea hydrolysis, nitrification, and denitrification include MichaelisMenten kinetics parameters (maximum reaction rate and half-saturation constant) for each process. They also include parameters that define, for each process, the soil temperature, soil water, and soil pH response functions. If nitrification inhibitors are used, additional inputs are required to parameterize the inhibitor response function. Input parameters for urea hydrolysis, nitrification, and denitrification used in simulating N dynamics for the site (Table 11) were based on values reported in the literature (Youssef, 2003). The effect of soil pH on denitrification was ignored (Youssef, 2003). Model calibration was primarily conducted by adjusting nitrification and denitrification parameters.
Parameters for pH control and volatilization mainly include critical pH, maximum soil buffering capacity factor, and NH3 volatilization resistance factor. Critical pH is a parameter that controls the operation mode of the model. DRAINMOD-N II switches from normal to volatilization mode whenever the critical pH is reached or anhydrous NH3 is applied. The maximum soil buffering capacity factor indicates soil resistance to changes in pH. The NH3 volatilization resistance factor accounts for the resistance to NH3 transport from the soil surface to the atmosphere (Youssef et al., 2005). In this study, the critical pH was set to 7.5, the maximum soil buffering capacity was set to 10 x 104 pH (kmol OH)1 (kg soil)1, and a volatilization resistance factor of 50.0 s cm1 was used (Sadeghi et al., 1988).
Organic matter parameters include the C/N ratio and potential rate of decomposition of each OM pool, the environmental response function parameters for OC decomposition, the initial OC content, and the initial percentage of soil OC assigned to each SOM pool. The C/N ratios and potential rates of decomposition used in this study (Table 12) were similar to those that are frequently used with the CENTURY model (Parton et al., 1993). The C/N ratios of the structural pools stay constant during the whole simulation period. The C/N ratios of the metabolic pools and the surface microbial pool are functions of the biochemical composition of the applied organic materials. The C/N ratios of the active, slow, and passive SOM pools vary with soil mineral N (NO3N + NH4N) content. Since OC decomposition is more sensitive to soil temperature and soil water than soil pH, the effect of pH on process rate was ignored (Youssef et al., 2005). The optimum temperature and the shape factor of the temperature response function were set to 36.9°C and 0.186, respectively (Kirschbaum, 1995). Organic C decomposition was assumed to proceed with a maximum at rate 0.5 to 0.6 water-filled pore space (WFPS) (Linn and Doran, 1984; Doran et al., 1988) and proceed with 15 and 50% of the maximum rate at wilting point and saturation, respectively (Stanford and Epstein, 1974; Linn and Doran, 1984). Organic C content of the top 20-cm soil layer, measured in 1992, was used to initialize the model. It ranged from 3.2 to 4.4% for the four plots considered in the study (Munster, 1992). The model was pre-run for 15 yr with arbitrarily chosen initial pool distributions allowing them to "equilibrate" before simulating the period of interest (1992 to 1997). The resulting initial percentages of total OC assigned to the active, slow, and passive SOM pools were 1, 37, and 62%, respectively.
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RESULTS AND DISCUSSION
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Hydrology
Water Table Depth
Both visual and statistical comparisons show agreement between simulated and observed daily water table depths (Fig. 5, 6 and Table 13). Over the simulated period, the MAE for water table depth was 11.8 cm for plot 2, 13.0 cm for plot 3, 13.5 cm for plot 4, and 12.5 cm for plot 5. On an annual basis, the MAE values for water table depth were in the range of 8.1 to 16.7 cm for plot 2, 10.2 to 15.6 cm for plot 3, 11.5 to 14.8 cm for plot 4, and 11.1 to 14.3 cm for plot 5 (Table 13).
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Table 13. Statistical comparison between observed and simulated daily water table depths for experimental plots 2 through 5 of the TES site during 1992 to 1997.
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The EF values also indicated agreement between simulated and observed water table depths. The EF values over the simulated period were 0.70 for plot 2, 0.76 for plot 3, 0.74 for plot 4, and 0.76 for plot 5 (Table 13). On an annual basis, the EF values were in the range of 0.64 to 0.79 for plot 2, 0.67 to 0.86 for plot 3, 0.65 to 0.81 for plot 4, and 0.65 to 0.78 for plot 5 (Table 13). The EF values in the range of 0.7 to 0.8 are considered very good for water table predictions because of the rapid fluctuations that can occur, and the effect of time lag on the agreement. Observed and simulated water tables often rise rapidly in response to rainfall. Figures 5 and 6 reveal numerous examples of the water table rising 80 to 100 cm in a day or less due to heavy rainfall. Comparisons are made on end-of-day values. In most cases, the simulated water table rise was in good agreement with the observed. However, for those cases where the simulated rise either led or lagged behind the observed response by a few hours near the end of day, the difference in simulated and observed water table depths could be very large, e.g., 80 to 100 cm. This caused the EF values to be smaller than would be expected, based on the visual observation (Fig. 5, 6).
As indicated by the relatively small ME values (Table 13), model bias in predicting water table depth was generally small. Over the simulated period, the ME values were 7.2 cm for plot 2, 0.7 cm for plot 3, 1.0 for plot 4, and 3.7 for plot 5 (Table 13). The positive, relatively large ME values for plots 2 and 5 indicate that the simulated water table tended to be shallower than the observed (Table 13).
Subsurface Drainage
Simulated and observed subsurface drainage volumes were also in agreement (Fig. 7, 8 and Table 14). Over the simulated period, the value of the EF comparing simulated and observed monthly subsurface drainage was 0.67 for plot 2, 0.64 for plots 3 and 4, and 0.65 for plot 5. The absolute values of NE comparing simulated and observed annual subsurface drainage were less than 5% in 10 out of the 24 simulated plot-years and less than 15% in 19 out of the 24 simulated plot-years (Table 14). The absolute value of NE comparing simulated and observed cumulative drainage over the 6-yr period was 2.9% for plot 2, 0.7% for plot 3, 4.2% for plot 4, and 13.2% for plot 5 (Table 14). The model, however, tended to slightly underpredict drainage. Inspection of drainage scatter diagrams (not shown) indicated that DRAINMOD underpredictions of drainage volumes mostly occurred during high flow events where the water table reached the soil surface.
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Table 14. Statistical comparison between observed (OBS) and simulated (SIM) subsurface drainage for experimental plots 2 through 5 of the TES site from 1992 through 1997.
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Results of the hydrologic simulation indicate that DRAINMOD was successfully calibrated for the site conditions. These results also suggest that DRAINMOD-simulated hydrologic processes could be used in simulating N fate and transport by DRAINMOD-N II with relatively small negative effect on the performance of the N model.
Nitrogen
Since both field measurements and model predictions showed very small drainage losses of NH4N (less than 0.5 kg N ha1 yr1 on average, data are not presented), this parameter was excluded from model testing and no comparison was made between observed and predicted NH4N leaching losses.
Monthly Nitrate-Nitrogen Drainage Losses
Overall, predicted monthly NO3N drainage losses were not in good agreement with those observed. The monthly EF values were considerably larger for the calibration plot (plot 3) than the three validation plots. Over the 6-yr period, the value of the EF was 0.48 for plot 3, 0.19 for plot 2, 0.02 for plot 4, and 0.01 for plot 5. On an annual basis, the monthly EF values ranged from 1.80 to 0.66 for plot 3, 1.57 to 0.61 for plot 2, 4.36 to 0.35 for plot 4, and 1.55 to 0.32 for plot 5 (Table 15). The small and negative EF values were caused by a few incidents (3 to 6 out of 72 per plot) with large discrepancies between observed and predicted monthly NO3N drainage losses (Fig. 9). The majority of these discrepancies occurred in October 1993, January and February 1994, June 1995, and June and July 1996. When these incidents (outliers) were excluded, the EF values were greatly increased (0.70 for plot 3, 0.63 for plot 2, 0.36 for plot 4, and 0.61 for plot 5). In many cases, monthly NO3N drainage losses were overpredicted during summer and early fall and underpredicted during winter and early spring.
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Table 15. Statistical comparison between observed (OBS) and predicted (PRD) NO3N loss via subsurface drainage for experimental plots 2 through 5 of the TES site during 1992 through 1997.
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Fig. 9. Scatter diagram comparing observed and predicted monthly NO3N losses with drain flow for plots 2 through 5 from 1992 through 1997.
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It is difficult to accurately predict monthly N leaching losses due to the complex nature of the C and N dynamics in the soilwaterplant system. The unavailability of field or lab measurements that are sufficient to calibrate N simulation models add to the difficulty of making accurate predictions on a short time scale. Therefore, field evaluations of models that simulate N dynamics in the soilwaterplant system are often based on yearly rather than monthly model predictions (Jabro et al., 1993; Garrison et al., 1999). Previous studies that statistically evaluated monthly model predictions showed limited success in predicting NO3N leaching losses on monthly basis. In a field testing of the widely used SOILN model using two 3-yr data sets, Wu et al. (1998) compared observed and predicted monthly nitrate leaching and obtained EF values of 0.06 and 0.24. They reported that these values indicate "moderate" agreement, compared to the levels of errors that were obtained in a number of previous modeling studies. In a field testing of the ADAPT model using a 14-yr data set, Davis et al. (2000) compared observed and predicted monthly NO3N drainage losses and obtained a coefficient of determination (R2) of 0.71 with 0.49 slope and 3.3 kg N ha1 intercept for the calibration period and R2 of 0.47 with 0.41 slope and 3.5 kg N ha1 intercept for the validation period. The slopes substantially lower than one and intercepts larger than zero reported by Davis et al. (2000) indicate low and possibly negative EF values corresponding to the reported R2 values.
Annual Nitrate-Nitrogen Drainage Losses
Except for one experimental plot, the agreement between observed and predicted annual NO3N drainage losses was good. The value of the EF comparing observed and predicted annual NO3N loss with drain flow was 0.92 for plot 3, 0.62 for plot 2, 0.10 for plot 4, and 0.73 for plot 5. The absolute value of NE in predicting annual NO3N leaching loss was in the range of 2.0 to 35.9% for plot 3, 9.1 to 39.3% for plot 2, 6.6 to 63.8% for plot 4, and 14.5 to 30.7% for plot 5 (Table 15).
Errors in DRAINMOD-N II predictions of N losses were due to inaccuracies in characterizing both the hydrology and N dynamics. Inspection of results in Table 15 show that the absolute value of NE in predicting annual NO3N leaching losses was less than 15% in one-third of the simulated plot-years and less than 20% in half of the simulated plot-years. In three cases with high NE values, errors in predicting NO3N leaching losses appeared to be caused by errors in predicting drainage volumes. In 1994, for plot 3, drainage was underpredicted by 18.8% (Table 14) and NO3N drainage loss was underpredicted by 24.2% (Table 15). In 1997, drainage was underpredicted by 22.9% for plot 4 and 27.4% for plot 5 (Table 14), and NO3N drainage loss was underpredicted by 41.0% for plot 4 and 26.3% for plot 5 (Table 14). Two other cases can also be identified where errors in hydrologic predictions might have partly contributed to the high errors in predicting annual losses of NO3N with drain flow. DRAINMOD underpredicted drainage volumes for plot 2 by 10.6% in 1994 and by 10.1% in 1997. DRAINMOD-N II underpredicted NO3N leaching losses for the same plot by 33.1% in 1994 and 39.3% in 1997. While these instances indicate an influence of DRAINMOD hydrologic predictions on the performance of DRAINMOD-N II, simulation results for the 24 plot-yr does not indicate a statistically significant correlation between errors in hydrologic predictions and errors in predicting N leaching losses.
In late 1993, NO3N leaching losses were overpredicted and were underpredicted in early 1994. This caused relatively high errors on both monthly (low EF, Table 15) and annual bases (high NE, Table 15). For plots 3 through 5, and to a lesser extent plot 2, N leaching losses were considerably overpredicted in October through December 1993 and underpredicted in January through March 1994 (Fig. 10, 11). It was very dry in 1993; corn grew under water deficit conditions during the entire growing season (Table 5) and yield was low (Table 3). Thus, a large portion of fertilizer N applied in May and June (Table 2) was not recovered in the crop and remained in the soil profile. Part of that mineral N was immobilized during early stages of decomposition when the fresh corn residues were added to the system. The other part remained in the profile susceptible to leaching and denitrification losses. The rate and timing of those losses depended on the sequence of weather events.
Rainfall in October 1993 caused the water table to rise to about 30 cm from the surface (Fig. 6). Plot 4 was in controlled-drainage mode with the control structure at a depth of 30 cm, so there was only a small amount of drainage measured during October through December 2003 (Fig. 8). DRAINMOD predicted a rise in the water table to the surface (Fig. 6) and overpredicted drainage by about 3 cm (Fig. 8). This amounted to only about 10% of the total drainage from plot 4 for the year. Plot 3 was in conventional-drainage mode and both measured and predicted drainage amounts (Fig. 7) were somewhat larger during the period, compared to plot 4. DRAINMOD overpredicted drainage by about 2 cm for the October through December period. While the model overpredicted drainage amounts by only a small percentage of the annual total, it substantially overpredicted NO3N leaching losses during October 1993 (Fig.10, 11). This indicates that predicted NO3N concentrations in the saturated zone of the soil profile were considerably higher than actual concentrations.
The model might have predicted less N immobilization during the early stages of decomposition of corn residues than actually occurred, leaving more mineral N in the profile susceptible to leaching. The simulated duration of net immobilization during corn residue decomposition might also be shorter than the actual duration. In this case, the model may have predicted an early release of some of the mineral N that was previously immobilized during the first stages of decomposition. This would have increased the amount of mineral N in the soil profile available for leaching. Unfortunately, neither NO3N concentration in soil solution nor N mineralization or immobilization was measured, so it was not possible to directly test the accuracy of model predictions of these quantities.
Overall, DRAINMOD-N II overpredicted 1993 NO3N leaching losses by 64% for plot 4, 31% for plot 5, and 7% for plot 3 (Table 15). In reality, however, most of the mineral N accumulated in the soil profile remained until early 1994 when it was flushed out of the system by the rainfall of January and February. DRAINMOD-N II, though, underpredicted those NO3N losses because it had already predicted (erroneously) high losses in late 1993, which significantly lowered the NO3N concentration in the profile (Fig. 11). DRAINMOD-N II underpredicted the overall NO3N leaching losses during 1994 by 56% for plot 4, 31% for plot 5, and 24% for plot 3 (Table 15). Predicted and observed cumulative NO3N drainage losses from 1993 to 1994 were compared to quantify model performance during that period without the negative effects of the errors occurred in late 1993 and early 1994. Observed cumulative NO3N drainage loss during 1993 to 1994 was 56.6 kg N ha1 for plot 4 and 41.4 kg N ha1 for plot 5. Corresponding predicted values were 42.2 kg N ha1 for plot 4 and 36.5 kg N ha1 for plot 5. This means that DRAINMOD-N II underpredicted cumulative NO3N drainage losses from 1993 to 1994 by 25% for plot 4 and 12% for plot 5. This amounts to less than half the errors in yearly predictions for plot 4 and about one-third of the errors in yearly predictions for plot 5. This indicates that the discrepancies between model prediction and observation during late 1993 and early 1994 are the main sources of error in yearly model predictions for 1993 and 1994.
Cumulative Nitrate-Nitrogen Drainage Losses
DRAINMOD-N II did an excellent job in predicting cumulative NO3N leaching losses over the entire simulation period (Fig. 12 and Table 15). Cumulative NO3N leaching losses over the 6-yr simulated period were underpredicted by 1.3% for plot 3, 8.1% for plot 2, and 2.8% for plot 4 and overpredicted by 4.0% for plot 5 (Table 15). The strong dependence of DRAINMOD-N II performance in predicting NO3N leaching losses on the accuracy of subsurface drainage prediction was manifested in the close association between predicted cumulative drainage and NO3N leaching losses. This can be clearly observed for all experimental plots (Fig. 12).

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Fig. 12. Observed and predicted cumulative rates of subsurface drainage and NO3N leaching loss for experimental plots 2 through 5 from 1992 through 1997.
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Simulated Nitrogen Processes and Transformations
Proper quantification of the interaction between organic and mineral N during the course of organic matter decomposition is very crucial for modeling N dynamics, especially for cases like the TES site where the topsoil is frequently replenished with fresh organic matter through incorporation of plant residues. The yearly average of simulated net mineralization ranged from 77 to 91 kg N ha1. In 1993, the model predicted net immobilization in the range of 24 to 40 kg N ha1 followed by large amounts of net mineralization (172 to 218 kg N ha1) in 1994 (Table 16).
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Table 16. Predicted annual rates of net N mineralization, N plant uptake, and denitrification for experimental plots 2 through 5 of the TES site from 1992 through 1997.
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Quality and amount of added residue, amount and pattern of rainfall, temperature, and water table management are key factors in regulating OC decomposition and accompanying N mineralization and immobilization processes. These factors interact with each other in a complex way such that it is difficult to observe the dependence of the process on a given factor by simply looking at the simulation results. For example, the effect of drainage control on OC decomposition varies with the amount and pattern of rainfall. Drainage control may promote the process under dry conditions where soil water is lacking or may delay it under wet conditions where excessive soil water reduces oxygen diffusion, creating a reduced environment.
Simulation results (not presented) showed that predicted net mineralization was generally slow during winter due to low temperatures. In very dry summer seasons the process was very slow or ceased completely due to lack of available soil water in the biologically active topsoil layer. The effect of quality of added residues can be clearly observed by analyzing simulation results. Net mineralization was increased following the incorporation of the N-rich soybean residues. On the other hand, incorporating residues of corn and wheat, which are low in N, resulted in net immobilization.
Nitrogen plant uptake is a major process of the N cycle in agricultural ecosystems. Management practices such as the use of split applications, slow-release N fertilizers, and nitrification inhibitors have been developed to increase N fertilizer use efficiency and N plant uptake. The yearly average of simulated N uptake varied from a low of 159 kg N ha1 for plot 5 to a high of 172 kg N ha1 for plot 2 (Table 16). Simulated annual N uptake was a function of crop species, the amount of applied N fertilizer, and the soil water conditions. Simulated N plant uptake varied among the four plots for the same year (Table 16). This plot-to-plot variability in N uptake was primarily due to the differences in crop yield among the individual plots, which were caused by differences in soil and management factors.
The denitrification process is an important pathway for N loss from the soilwaterplant system. The performance of an N model is closely related to its success in making good predictions of denitrification rates in response to changes in NO3N availability as well as changes in soil aeration as reflected by the soil water status. On average, simulated annual denitrification varied over a small range of 44 to 47 kg N ha1 (Table 16).
The strong dependence of denitrification on mineral N availability and soil water conditions can be demonstrated by analyzing the simulation results. Both lowest and highest simulated annual denitrification rates corresponded with lowest and highest simulated amount of mineral N in the soil profile, respectively. In 1995, plots 3 and 5 received 60% more N fertilizer than plots 2 and 4 (Table 2). In the same year, plots 2 and 3 were in conventional-drainage mode and plots 4 and 5 were in controlled-drainage mode for the first 4 mo and then switched to conventional-drainage mode for the rest of the year (Table 1). The model predicted 20% more denitrification for plot 3 than for plot 2 and 33% more denitrification for plot 5 than for plot 4 (Table 16). These results underscore the close relationship between the availability of mineral N and the denitrification rate. It also indicates the influence of water table management treatment on the denitrification process, which can further be observed by inspecting the 1994 simulation results. In 1994, all plots received the same amount of N fertilizer (Table 2). Plots 2 and 3 were in conventional drainage, while plots 4 and 5 were in controlled drainage. DRAINMOD-N II predictions for 1994 showed 33% more denitrification, on average, for controlled drainage plots than for conventional drainage plots.
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CONCLUSIONS
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DRAINMOD-N II was field-tested using 6 yr of data from an artificially drained agricultural research site located in the North Carolina lower coastal plain. The test site is on a naturally poorly drained sandy loam soil with nearly flat topography. Four experimental plots, planted to a cornwheatsoybean rotation and managed using both conventional and controlled drainage, were used; one plot for model calibration and the other three plots for model validation. Water table elevation, subsurface drainage, and N concentration in drainage water were measured and meteorological data were continuously recorded. Agreement between observed and predicted monthly NO3N drainage losses was relatively poor. The monthly EF was 0.48 for the calibration plot and 0.19, 0.01, and 0.02 for the validation plots. The small and negative EF values were caused by a few incidents with large discrepancies between observed and predicted NO3N drainage losses. Except for one experimental plot, agreement between observed and predicted annual NO3N drainage losses was good. The yearly EF was 0.92 for the calibration plot and 0.73, 0.62, and 0.10 for the validation plots. Large errors in predicting annual NO3N leaching losses in some years were in part due to errors in predicted drainage volumes. Errors in predicting cumulative NO3N leaching losses over the 6-yr period were remarkably small. Cumulative NO3N leaching losses over the 6-yr period were underpredicted by 1.3% for the calibration plot, 8.1 and 2.8% for two of the validation plots, and overpredicted by 4.0% for the third validation plot.
Results of this field-testing demonstrated the potential of DRAINMOD-N II as a model capable of simulating N dynamics in agroecosystems. However, this evaluation of DRAINMOD-N II using the TES data set should be regarded as an incomplete test since it relied primarily on literature rather than field and/or lab measurements to parameterize the model. A more rigorous field testing of the model should be conducted to validate its application for drained lands, a need common with nearly all simulation models.
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ACKNOWLEDGMENTS
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The research reported herein is a product of the N.C. Agricultural Research Service, N.C. State University, Raleigh, NC 27695-7625. It was supported in part by funds provided by the USDA (NRI project 99-351028571) and by the USDA-NRCS.
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NOTES
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Presented in the 8th International Drainage Symp., ASAE.
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REFERENCES
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- Ahuja, L.R., K.W. Rojas, J.D. Hanson, M.J. Shaffer, and L. Ma (ed.) 2000. Root Zone Water Quality Model: Modeling management effects on water quality and crop production. Water Resources Publications, Highlands Ranch, CO.
- Brevé, M.A. 1994. Modeling the movement and fate of nitrogen in artificially drained soils. Ph.D. diss. North Carolina State Univ., Raleigh, NC.
- Brevé, M.A., R.W. Skaggs, J.E. Parsons, and J.W. Gilliam. 1997a. DRAINMOD-N, a nitrogen model for artificially drained soils. Trans. ASAE 40:10671075.
- Brevé, M.A., R.W. Skaggs, J.W. Gilliam, J.E. Parsons, A.T. Mohammad, G.M. Chescheir, and R.O. Evans. 1997b. Field testing of DRAINMOD-N. Trans. ASAE 40:10771085.
- Chescheir, G.M. R.W. Skaggs, J.W. Gilliam, M.A. Brevé, C. Munster, R.O. Evans, R.B. Leidy and J.E. Parsons. 1996. Effects of drainage and water table control on groundwater and surface water quality: Part II. Experimental results and simulation models. Tech. Rep. 301. Univ. of North Carolina Water Resour. Res. Inst., Raleigh, NC.
- Cox, J.W., D.J. McFarlane, and R.W. Skaggs. 1994. Field evaluation of DRAINMOD for predicting waterlogging intensity and drain performance in southwestern Australia. Aust. J. Soil Res. 32:653671.[CrossRef]
- Davis, D.M., P.H. Gowda, D.J. Mulla, and G.W. Randall. 2000. Modeling nitrate nitrogen leaching in response to nitrogen fertilizer rate and tile drain depth or spacing for southern Minnesota, USA. J. Environ. Qual. 29:15681581.[ISI]
- Dinnes, D.L., D.L. Karlen, D.B. Jaynes, T.C. Kaspar, J.L. Hartfield, T.S. Colvin, and C.A. Cambardella. 2002. Nitrogen management strategies to reduce nitrate leaching in tile-drained Midwestern soils. Agron. J. 94:153171.[Abstract/Free Full Text]
- Doran, J.W., L.N. Mielke, and S. Stamatiadis. 1988. Microbial activity and N cycling as regulated by soil water-filled pore space. p. 4954. In Proc. 11th Int. Conf., Int. Soil Tillage Res. Organization, 1115 July 1988, Edinburgh, Scotland.
- Eckersten, H., P.-E. Hansson, and H. Johnsson. 1998. SOILN model user's manual, version 9.2. Swedish Univ. of Agricultural Sciences, Uppsala, Sweden.
- Evans, R.O., R.W. Skaggs, and R.E. Sneed. 1991. Stress day index models to predict corn and soybean relative yield under high water table conditions. Trans. ASAE 34:19972005.
- Fouss, J.L., R.L. Bengston, and C.E. Carter. 1987. Simulating subsurface drainage in the lower Mississippi Valley with DRAINMOD. Trans. ASAE 30:16791688.
- Garrison, M.V., W.D. Batchelor, R.S. Kanwar, and J.T. Ritchie. 1999. Evaluation of the CERES-Maize water and nitrogen balances under tile-drained conditions. Agric. Sys. 62:189200.[CrossRef]
- Gayle, G., R.W. Skaggs, and C.E. Carter. 1985. Evaluation of a management model for a Louisiana sugar cane field. J. Am. Soc. Sugar Cane Technol. 4:1828.
- Gilliam, J.W., J.L. Baker, and K.R. Reddy. 1999. Water quality effects of drainage in humid regions. p. 801830. In R.W. Skaggs and J. van Schilfgaarde (ed.) Agricultural Drainage. Agron. Monogr. 38. ASA, CSSA, and SSSA, Madison, WI.
- Godwin, D.C., and C.A. Jones. 1991. Nitrogen dynamics in soil-plant systems. p. 289321. In J. Hanks and J.T. Ritchie (ed.) Modeling plant and soil systems. Agron. Monogr. 31, ASA, CSSA, and SSSA, Madison, WI.
- Groenendijk, P., and J.G. Kroes. 1997. Modelling the nitrogen and phosphorus leaching to groundwater and surface water: ANIMO 3.5. Rep. 144, DLO Winand Staring Centre, Wageningen, The Netherlands.
- Hansen, S., H.E. Jensen, N.E. Neilsen, and H. Svendsen. 1993. Description of the soil plant system model DAISY Basic principles and modeling approach, The Royal Veterinary and Agricultural Univ., Copenhagen, Denmark.
- Hay, R.K. 1995. Harvest index: A review of its use in plant breeding and crop physiology. Ann. Appl. Biol. 126:197216.[ISI]
- Hoad, S.P., G. Russell, M.E. Lucas, and I.J. Bingham. 2001. The management of wheat, barley, and oat root systems. Adv. Agron. 74:193246.
- Hutson, J.L. 2000. LEACHM: Model description and user's guide. School of Chem., Physics, and Earth Sci., The Flinders Univ. of South Australia, Adelaide, Australia.
- Jabro, J.D., J.M. Jemison, Jr., L.L. Lengnick, R.H. Fox, and D.D. Fritton. 1993. Field validation and comparison of LEACHM and NCSWAP models for predicting nitrate leaching. Trans. ASAE 36:16511657.[ISI]
- Janssen, P.H.M., and P.S.C. Herberger. 1995. Calibration of process-oriented models. Ecol. Modell. 83:5566.[CrossRef]
- Jensen, M.E., R.D. Burman, and R.G. Allen. 1990. Evapotranspiration and irrigation water requirements. ASCE Rep. 70. ASCE, New York.
- Johnsson, H., L. Bergstrom, and P.-E. Jan