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a Crop & Soil Sciences, Plant Sciences Bldg., Univ. of Georgia, Athens, GA 30602 USA
b Crop & Soil Sciences, Georgia Station, Griffin, GA 30223 USA
mcabrera{at}arches.uga.edu
Received for publication September 27, 1997.
| ABSTRACT |
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Abbreviations: CI, confidence interval RMSE, root mean square error
| INTRODUCTION |
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Several models that simulate NO3 leaching have been developed over the last decade (Wagenet and Hutson, 1989; Shaffer et al., 1991; Tsuji et al., 1994) and considerable calibration and validation work has been conducted (Jabro et al., 1993; Jemison et al., 1994; Lengnick and Fox, 1994). Most of the evaluation studies have calibrated a model with an individual data set and then conducted a validation with additional independent data sets. Calibration of the model has been typically accomplished by adjusting input parameters and rate constants so that output values are as close as possible to measured values in the calibration data set. This approach to testing a model has the disadvantage of requiring a calibration data set. In addition, the approach can be very time-consuming, especially if the range of values explored for each input parameter and rate constant is relatively large. Furthermore, since this process adjusts several input parameters and rate constants at the same time, inadequacies in the modeling of one process may be coincidentally compensated for when the input parameter or rate constant is changed for another process. Consequently, this approach may lead to good simulations for the calibration data set, but will not necessarily guarantee good simulations for independent data sets. In a study with LEACHM, for example, Jemison et al. (1994) calibrated the model with data from one year and conducted a validation with data from two years. They found that the rate constants adjusted with the calibration data set were not useful to simulate N dynamics in the validation data sets.
Another approach to calibration is to conduct laboratory studies to determine the rate constants and input parameters for each of the important processes in the model, and then use those rate constants and parameters to validate the model. Our objective was to use this second approach to calibrate and validate LEACHN (Wagenet and Hutson, 1989) for its ability to simulate soil NO3, soil NH4, water drainage, and NO3 leaching in a Georgia Piedmont Ultisol. We selected LEACHN because it simulates both water drainage and N dynamics with well-accepted algorithms, and because it has been evaluated in other regions of the world (Ramos and Carbonell, 1991; Jemison et al., 1994).
| Materials and methods |
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In April 1991, the plots were plowed, disked, and planted to corn (cv. Dekalb 689). In September 1991, the corn was harvested, the stover was shredded, and collection of data for the current study was initiated.
On 18 Oct. 1991, six plots were no-till planted to rye (cv. Wheeler) and six plots were left fallow. In April 1992, new tillage treatments were established, with three plots from each of the rye cover and fallow treatments placed under conventional and no-till systems. The conventional-till plots were mowed, moldboard plowed to a depth of 20 cm, and disked before corn planting. The data used in this study were collected from all the plots during winter 19911992, and from the plots that were under conventional-till corn during the summers of 1992 and 1993, and that had either a rye cover crop or fallow conditions during winter 19921993. We selected these treatments for testing LEACHN because the model does not have a macropore flow component, which can be important under no-till conditions.
Corn was planted on 24 Apr. 1992, followed by 168 kg N ha-1 as NH4NO3 on 27 April. This rate was selected based on recommendations from the Soil Test Handbook for Georgia (Plank, 1989). After harvest (7 Oct. 1992), the corn stover was shredded and rye was no-till drilled (30 Oct. 1992) in the plots with a cover crop treatment. After winter, corn was planted again on 14 Apr. 1993, and 168 kg N ha-1 as NH4NO3 was applied on 20 April. The corn was harvested on 14 Sept. 1993.
An initial soil sampling was conducted on 6 Nov. 1991. This was followed with 10 samplings in February, April, May, and October 1992 and in February, April, May, August, and September 1993. At each sampling, eight cores were taken from each plot in 15-cm increments to a depth of 90 cm.
Subsamples of the soil samples taken on 6 Nov. 1991 were air dried, passed through a 2-mm sieve, composited by depth, and analyzed for particle size distribution (Table 1) by the micropipette method (Miller and Miller, 1987). Composited subsamples were also ground through a 100-µm sieve and analyzed for total C and N concentrations (Table 1) by dry combustion (Nelson and Sommers, 1982).
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At the end of each cropping period, samples for dry matter determination were taken from three 1-m2 quadrats in each plot. The corn was separated into stover and grain, subsamples were dried at 65°C for 48 h, weighed for moisture loss determination, and ground through a 100-µm sieve for total C and N determination (Nelson and Sommers, 1982).
The drain effluent from the tiles in each plot was measured via a tipping bucket connected to a datalogger. The tipping buckets had a sampling slot that subsampled the drainage water and routed the sample to a beaker. From every 2 mm of cumulative drainage, a sample was pumped from the beaker into a polyethylene bottle inside an ISCO 3700 FR refrigerated sampler (ISCO, Lincoln, NE). An aliquot of this sample was stored frozen in polyethylene vials for later analysis of inorganic N. Drainage totals were accumulated over each growing season until harvest. Concentrations of NO2N plus NO3N were determined as described above. The cumulative amount of leached NO3N was calculated by adding up the amounts of NO3N leached with each 2 mm of drainage.
In a test of plots similarly instrumented and located next to our study plots, Radcliffe et al. (1996) found that under steady irrigation (near-saturated conditions), about 60 to 90% of the applied water was captured by the drain tiles. Based on these results, we estimated actual water drainage and leached NO3N by dividing the measured values by 0.75 (assuming average recovery of 75%).
General Model Description
We used Version 3 of the nitrogen submodel of LEACHM, which is called LEACHN (Hutson and Wagenet, 1992). The model uses a daily time step and requires daily, weekly, and seasonal inputs, as well as soil parameters and soil hydrologic properties, crop data, and N data.
Daily, weekly, and seasonal inputs. The input data needed are N fertilizer rate, crop residue and manure rates, daily rain and irrigation, weekly pan evaporation, and weekly mean temperature and amplitude.
Soil parameters and hydrologic properties. The soil profile is divided into equal depth increments, each increment requiring the following data: bulk density, particle size distribution, initial C and N concentrations, initial soil water content, water retentivity parameters, saturated hydraulic conductivity, and dispersivity. Values for bulk density were obtained from Bruce et al. (1983), who made determinations on undisturbed samples taken from a pit near our study area (Tables 1 and 2)
. Bruce et al. (1983) also made laboratory determinations of saturated hydraulic conductivity. Because previous research has shown that field saturated hydraulic conductivity is about half of that measured in the laboratory (Bouwer, 1966), the saturated hydraulic conductivity values we used were one-half of those measured by Bruce et al. (1983). Retentivity parameters a and b (Table 2) were obtained by using nonlinear regression (SAS Inst., 1985) to fit the Hutson and Cass (1987) retentivity model to the data published by Bruce et al. (1983):
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is volumetric water content,
s is volumetric water content at saturation, and hc and
c are the points of intersection of the parabolic and exponential curves. The dispersivity (66 mm) was obtained from a laboratory study with undisturbed soil columns from our plot area (Gupte et al., 1996). We assumed free drainage at the depth of the tiles (90 cm), thereby assuming that the hydraulic potential gradient was approximately unity.
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Nitrogen data
The input N data included initial soil NH4N and NO3N concentrations, NH4 and NO3 partitioning coefficients, molecular diffusion coefficient in water, and rate constants of mineralization (for crop residue, manure, and humus), nitrification, denitrification, and ammonia volatilization. Other required parameters for N transformation are the synthesis efficiency factor (fraction of C mineralized that is converted to humus and biomass rather than to CO2), the humification factor (relative amounts of humus and biomass produced), the C/N ratio of biomass and humus, and the Q10 for reactions.
To determine rate constants of mineralization, composite soil samples from the upper three 15-cm increments were incubated at 25°C for 326 d using a method similar to that of Stanford and Smith (1972). The rate constant of mineralization (k) for each depth increment was determined by fitting cumulative N mineralized (Nm) from each depth to the model: Nm = N0 (1 - e-kt), where t is time and N0 is the total soil organic N for each of the soil layers (Table 3) . We used total soil organic N, instead of allowing the nonlinear procedure to fit N0, because LEACHN assumes that all (rather than a fraction) of the soil organic N is mineralizable. LEACHN also assumes that all of the crop residue N is contained in one pool, which mineralizes at a given rate according to first-order kinetics. For our simulations, we used rate constants of 0.006 d-1 for corn stover and 0.012 d-1 for rye residue. These values were obtained from data collected by Ford (1991), who worked with a soil similar to the one used in the present study.
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To determine the NH4 partition coefficient, two replicates of 10 g of air-dry soil were weighed into 50-mL centrifuge tubes and mixed with 10 mL of N-free solution containing 0 or 50 µg NH+4N mL-1 as (NH4)2SO4. These samples were placed in a reciprocating shaker at 120 oscillations min-1 for 30 min, and centrifuged at 280 g for 10 min. The supernatant volume was analyzed for NH4N concentration as described above. The partition coefficient for NH4 (Table 4) was determined by calculating the ratio of NH4N adsorbed to NH4N in solution. Because LEACHN uses a single partition coefficient for all depths, and because most NH4 was expected to occur in the upper 30 cm, the partition coefficient used in the simulation was derived by taking the average of the upper 30 cm. The partition coefficient for NO3 (Table 4) was determined by Gupte et al. (1996) with undisturbed cores collected from our study site.
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When the simulated values differed from measured values, we tried to find the sources of the error by modifying some of the rate constants or parameters that we considered responsible for the over- or underestimation. We refer to the model results obtained with modified rate constants or parameters as adjusted results. Results obtained with the rate constants and parameters determined in the laboratory are referred to as results not adjusted.
| Results and discussion |
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Cold-Season ResultsModel Not Adjusted
As expected, by the end of the cold-season period in both years, plots without a rye cover crop had significantly more soil NO3 and had lost more NO3 through leaching than plots with a rye cover crop (measured values in Tables 5, 6, 7, and 8)
. However, there were no significant differences in soil NH4 or cumulative drainage between plots with and without a rye cover crop.
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These (perhaps apparent) overestimations of cumulative drainage and leached NO3 may have been due, at least in part, to the tiles capturing less than 75% of the water drained from the plots. When we calculated the amounts of drained water, we assumed that on average the tiles captured 75% of the draining water (and therefore divided the measured drainage by 0.75). If the tiles captured <75% of the draining water, then the measured amount of drained water would have to be divided by a factor smaller than 0.75, which would result in a larger value of cumulative drainage. For the simulated drainage to match measured values, it would be necessary to assume that on average the tiles recovered 24 and 55% of the drained water for the first and second cold-season periods, respectively. These recovery values show the expected trend of lower recovery in a season with less rain (Tables 5 and 7), but a recovery of 24% for the first cold-season seems too low for our conditions. This suggests that other factors, such as the lack of a crusting effect in LEACHN, may also have been involved in the overestimation of cumulative drainage. Surface crusts reduce water infiltration into the soil and are common in Cecil soils managed under conventional tillage (Radcliffe et al., 1988)
In an attempt to identify possible reasons for the underestimation of soil inorganic N and for the overestimation of leached NO3 and drainage, we adjusted some of the parameters in the model to improve the simulation. We refer to these results as results obtained with an adjusted model.
Cold-Season ResultsModel Adjusted
As a first approximation to determine whether the lack of a soil crusting effect in LEACHN could be responsible for the overestimation of drainage, we reduced the saturated hydraulic conductivity of the upper layer (07.5 cm) until we reached good agreement between simulated and measured values by the end of the two cold-season periods. We obtained good agreements (adjusted drainage values in Tables 5, 6, 7, and 8) when we used a saturated hydraulic conductivity of 1 mm d-1, which is much lower than values previously measured in surface seals of Cecil soil (95190 mm d-1; Chiang et al., 1993). These results suggest that the lack of a soil crusting effect in the model was not the only reason for the overestimation of drainage. It is likely, as well, that the profile hydraulic conductivity values were overestimated or storage underestimated. As indicated earlier, values for saturated hydraulic conductivity and water retention were derived from laboratory data collected with undisturbed soil samples from a pit near our study area (Bruce et al., 1983). Perhaps measurements of saturated hydraulic conductivity and water retention within the plots could provide better estimates.
When we reduced the saturated hydraulic conductivity of the upper layer, we obtained good agreement between simulated and measured values of cumulative drainage by the end of both cold-season periods, but we observed that the simulated amounts of inorganic N in the soil were still underestimated relative to measured values (data not shown). Since the simulated amounts of N denitrified (311 kg N ha-1) were within previous estimates for soils in our area (Groffman, 1984), the underestimation of inorganic N suggested a potential problem with N mineralization rates.
To calculate net N mineralization for measured and simulated data in both cold-season periods, we subtracted initial inorganic N from the sum of final inorganic N, plant N uptake, and leached N. The results showed that the model underestimated net N mineralized by 15 to 23 kg N ha-1 (data not shown). For a better simulation of net N mineralized during the cold-season period, it was necessary to double the N mineralization rates for soil humus (adjusted values for soil inorganic N and leached N in Tables 5, 6, 7, and 8). Although these results may initially suggest a potential problem with the function used to adjust rates of mineralization based on soil temperature, that does not appear to be the problem, because the rates were adjusted using Q10 = 2, which is an accepted value for soils from temperate regions (Stanford et al., 1973). Also, we observed that the model does not account for the interaction that exists between soil temperature and soil water content (Quemada and Cabrera, 1997), but such omission does not seem to explain the large discrepancies observed in N mineralized. A possible reason for the discrepancy observed is an incorrect laboratory estimation of the rate constants of mineralization needed to simulate mineralization under field conditions. This incorrect estimation cannot be based on the use of disturbed samples, because estimations obtained with disturbed soil samples usually tend to overestimate, not underestimate, the rate constants of mineralization (Cabrera and Kissel, 1988). The incorrect estimation may be based on the use of only one set of samples taken in November 1992. Previous research has shown that the soil N mineralization potential and its rate constant of mineralization can change during the year (El-Haris et al., 1983; Bonde and Rosswall, 1987). Thus, it is possible that the rate constants derived from our laboratory incubations did not apply to field conditions at all times because of changes in the soil N mineralization potential during the year.
After reducing the saturated hydraulic conductivity of the upper layer to 1 mm d-1 (to adjust cumulative drainage) and doubling the rate of humus mineralization (to adjust net N mineralization), the simulated value of leached NO3 by the end of the first cold-season period was within the 95% CI for plots without a cover crop, and was only 1 kg N ha-1 above the 95% CI for plots with a cover crop (adjusted values for leached NO3 in Tables 5 and 6, respectively). Thus, it could be concluded that for a season that was drier than the 30-year average, LEACHN simulated NO3 leaching in a satisfactory manner. For the second cold-season period (which was wetter than the 30-year average), however, simulated values by the end of the period still overestimated leached NO3 by 59 to 93% (adjusted values in Tables 7 and 8). This overestimation was caused by excessive NO3 leaching early in the simulation period. Jemison et al. (1994) observed a similar effect of early NO3 leaching and attributed it to the model not allowing NO3 to diffuse out of the main water-conducting pores into the soil matrix. The lack of a macropore flow component in the model would make NO3 more susceptible to early leaching, particularly under wetter-than-normal conditions. Thus, it may be necessary to use a model that incorporates macropore flow to simulate bypass flow of matrix NO3 under wetter-than-normal conditions in this soil.
Warm-Season ResultsModel Not Adjusted
There were no significant differences between plots with and without a winter cover crop in soil NH4 and NO3, cumulative drainage, or leached NO3 (measured values in Tables 5, 6, 7, and 8). During the two warm-season periods, 75% of the simulated soil NO3 values were within the 95% CI (not-adjusted values in Tables 5, 6, 7, and 8). In contrast, 75% of the simulated soil NH4 values overestimated (by 72 to 333%) the measured data. As in the cold-season period, cumulative drainage during the first warm-season period was overestimated (by 52 to 200%) in most cases. Similarly, cumulative leached NO3 was overestimated (by 104 to 150%) in 50% of the cases. Due to extremely dry conditions, no cumulative drainage or leached NO3 was measured during the second warm-season period; LEACHN estimated some drainage and leached NO3, but the values were small (not-adjusted values in Tables 5, 6, 7, and 8). In an effort to identify the sources of error in our simulations, we adjusted some of the rate constants and parameters, as indicated below.
Warm-Season ResultsModel Adjusted
For the simulated cumulative drainage to match measured values during the first warm-season period, it was necessary to either assume that only 45% of the drained water was captured by the tiles, or to use a saturated hydraulic conductivity of 10 mm d-1 for the upper soil layer (07.5 cm). Since a recovery of only 45% appears too low for a wet season and a saturated hydraulic conductivity of 10 mm d-1 is too low for a surface seal in Cecil soil (Chiang et al., 1993), it is likely that, as in the cold-season period, the overestimation of cumulative drainage was due to the use of improper hydraulic soil properties.
In contrast to what we observed in the cold-season periods, however, when we adjusted cumulative drainage by reducing the saturated hydraulic conductivity of the upper layer, we found that the simulated values of inorganic N remaining in the soil were larger than the measured values (data not shown). This again pointed to potential problems with the simulation of net N mineralized. We could not determine net N mineralized from soil organic matter during the warm-season period, because fertilizer N had been added to the plots and we did not know how much fertilizer N was immobilized by soil microorganisms. We could, however, estimate the difference between net N mineralized and fertilizer N immobilized in simulated and measured data sets. To do so, we subtracted the sum of initial inorganic N plus fertilizer N from the sum of final inorganic N, N uptake, and leached NO3. For the first warm-season period, the average difference between net N mineralized and fertilizer N immobilized for measured values was zero, indicating that the amount of N immobilized from fertilizer N was approximately equal to the amount of net N mineralized from soil organic matter. In contrast, the average difference between net N mineralized and fertilizer N immobilized for simulated values was 77 kg N ha-1, suggesting that either net N mineralized was being overestimated, or fertilizer N immobilized was being underestimated. To reduce the difference between simulated and measured values for the first warm-season period, it was necessary to reduce the rate constant of humus and litter mineralization to zero (adjusted values in Tables 5 and 6). This indicated that the problem was not an overestimation of N mineralization, but an underestimation of fertilizer N immobilized. In fact, 77 kg N ha-1 corresponds to 46% of the applied fertilizer N, which is within the range of previously reported values for fertilizer N immobilization (Rao et al., 1991). Similarly, for the second warm-season period, the difference between net N mineralized and fertilizer N immobilized for measured data was 40 kg N ha-1, whereas the same difference for simulated data was 62 kg N ha-1. To reduce the difference between simulated and measured values for this second warm-season period, we had to reduce by one-half the rate constant of humus mineralization and set the rate constant of litter mineralization to zero (adjusted values for inorganic N and leached NO3 in Tables 7 and 8). These results suggested that LEACHN was not able to properly simulate the immobilization of fertilizer N. Furthermore, to avoid overestimation of NH4 and underestimation of NO3, we had to increase the nitrification rate fourfold during the second warm-season period. This suggested that the nitrification rates were being reduced too much under the dry conditions that occurred during the second warm-season period.
Overall Results with Adjusted Model
In general, adjusting the rate constants or parameters described above improved the RMSE value for all variables except soil NO3, which increased slightly from 33 to 38 kg N ha-1 (Table 9) . The improvements obtained can be observed in the slopes of the regression of measured vs. simulated results (Table 9; Fig. 1, 2, 3, and 4)
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| ACKNOWLEDGMENTS |
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| REFERENCES |
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