Directory UMM :Data Elmu:jurnal:A:Agricultural Water Management:Vol43.Issue1.Feb2000:

Agricultural Water Management 43 (2000) 111±131

Modeling and testing of the effect of tillage, cropping
and water management practices on nitrate
leaching in clay loam soil
H.Y.F. Nga,1, C.F. Druryb,*, V.K. Seremc, C.S. Tanb, J.D. Gaynorb
a

National Water Research Institute, 867 Lakeshore Road, Burlington, Ont., Canada L7R 4A6
b
Greenhouse and Processing Crops Research Center, Agriculture and Agri-Food Canada,
Harrow, Ont., Canada N0R 1G0
c
McGill University, Ste Anne de Bellevue, Que., Canada H9X 3V9
Accepted 4 March 1999

Abstract
Intensive agricultural management practices have contributed to nitrate concentrations in surface
and subsurface drainage water which exceed water quality guidelines. Numerous studies have been
conducted to examine the effects of soil and crop management practices on nitrate leaching,
however, there are few studies which examine new technologies to reduce nitrate leaching from

agricultural land. In this study, technological advances in water table management are used in
combination with conservation tillage and intercropping treatments to determine if nitrate leaching
can be effectively reduced in a clay loam soil. There were two water table management treatments
and four crop management treatments arranged in a 2 by 4 factorial arrangement with two
replicates. The water table management treatments consisted of controlled drainage/subirrigation
system (CDS) and a free drainage system (FD). The crop management treatments consisted of
moldboard plow tillage with and without an annual ryegrass intercrop (MP, MP ‡ IC) and soil saver
(modified chisel plow) with and without an annual ryegrass intercrop (SS, SS ‡ IC). The data was
modeled using LEACHM and a mean error difference procedure was used to determine how well
the model predicted the field data. The model worked well when the difference between the
predicted and measured values approached zero. When the CDS system was modeled, the mean
error difference values ranged from ÿ1.67 to 0.33 mg N lÿ1 for the 4 crop management treatments
whereas the values were considerably greater when the FD system was modeled with values ranging
between 7.48 and 12.7 mg N lÿ1. Hence the LEACHM model predicted nitrate leaching better on
plots under CDS system than on plots under FD. Both the Leaching Estimation and Chemistry
* Corresponding author. Tel.: +1-519-738-2251; fax: +1-519-738-2929.
E-mail address: [email protected] (C.F. Drury)
1
Tel.: 905-336-4905, fax: 905-336-4420, e-mail: [email protected]
0378-3774/00/$ ± see front matter # 2000 Elsevier Science B.V. All rights reserved.

PII: S 0 3 7 8 - 3 7 7 4 ( 9 9 ) 0 0 0 5 0 - 5

112

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Model (LEACHM) predicted scenarios and field sampled data showed that CDS reduced nitrate
leaching substantially. Model calibration by using one full year of field data was found to be
acceptable, but for predictions based on shorter calibration periods unsatisfactory results were
obtained. # 2000 Elsevier Science B.V. All rights reserved.
Keywords: Modelling; Nitrate; Tile drainage; Subirrigation; Controlled drainage; Water table management

1. Introduction
Nitrate nitrogen is an essential plant nutrient. Nitrogen can be released from the soil by
mineralization processes, however supplemental nitrogen is often required to maximize
crop yields. During rainfall events, nitrate nitrogen from soil organic matter, fertilizer,
livestock manure, or legume can leach through the soil and contaminate groundwater.
High NO3ÿ levels in drinking water are unsafe especially for infants, the elderly and
young animals as NO3ÿ can be converted into NO2ÿ in the digestive tract and lead to
methemoglobinemia, a condition in which the NO2ÿ binds to haemoglobin and causes

suffocation (Haynes et al., 1986; Sittig, 1991).
Nitrate pollution of lakes, rivers and groundwater has been well documented (Porter,
1975; International Joint Commission, 1978; Coote et al., 1982; Great Lakes Water
Quality Board, 1987; Jones and Schwab, 1992; Polglase et al., 1995), however, there is
very little information available on remedial methods for reducing nitrate loss from the
agricultural areas. Further, the development of these remedial schemes can be enhanced
when both field data and mathematical models are used. The objectives of this study were
to identify management practices (i.e. water table management, conservation tillage and
intercropping) which reduce nitrate leaching using field data and the LEACHM (Hutson
and Wagenet, 1989) model.

2. Materials and methods
2.1. Experimental design
The experimental field plot was located in south-western Ontario, at Eugene F. Whelan
Experimental Farm, Agriculture and Agri-Food Canada, Woodslee, Ont. The field plot
configuration has been reported previously (Tan et al., 1993; Drury et al., 1996). The
layout of the field plot design (Fig. 1) consists of 16 plots each 15 m wide by 67 m long
with an area of 0.1068 ha (including berm). Each plot, is isolated by a double layer 4 mil
plastic barrier from the surface to a depth of 1.2 m to prevent leakage and subsurface
interaction between the adjacent treatments. There are two 104 mm diameter tile drains in

each treatment which run parallel along the length of the plot at 0.6 m depth and 7.5 m
spacing with a 0.08% slope. There were two water table management treatments
(controlled drainage and subsurface irrigation (CDS) versus free drainage (FD) and four
management practices (conservation tillage using a soil saver (SS) with/without an annual
ryegrass intercrop (IC) and conventional moldboard plow tillage (MP) with/without an

113

Fig. 1. Experimental plot and drainage layout system.

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

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H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

annual ryegrass intercrop) arranged in a 2 by 4 factorial design replicated twice for a total
of 16 plots (Fig. 1). The soil saver treatment was a modified chisel plow.
2.2. Soil and crop management practices
The experiment was initiated in the spring of 1991 on a Brookston clay loam soil. Corn

(Zea mays L., Pioneer 3573) was seeded with a Kinze four row planter at a rate of 65,000
seed per ha in a 0.75 m wide between rows. Fertilizer (8-32-16) was banded beside the
seed at a rate of 132 kg haÿ1. Annual ryegrass intercrop was seeded within corn rows at
14 kg haÿ1 with a Brillion seeder. Urea was applied as a side dress application with a
customized designed brush applicator at the 6th leaf stage of corn based on the average
NO3ÿ soil test of soil samples collected on the day of planting. The sidedress N
application rates were 115, 140, 190 and 170 kg N haÿ1 for 1991, 1992, 1993 and 1994,
respectively. The N rate was reduced by 55 kg N haÿ1 in 1991 to account for the N
released from the previous alfalfa crop.
Typical herbicide application methods and materials were used in this study. Atrazine
(6-chloro-N-ethyl-N0 -(1-methylethyl)-1,3,5-triazine-2,4-diamine) at 1.1 kg haÿ1, metolachlor (2-chloro-N-(2-ethyl-6-methyl-phenyl)-N-(2-methoxy-1-methylethyl) acetamide) at
1.68 kg haÿ1, and metribuzin (4-amino-6-(1,1-dimethylethyl)-3-(methylthio)-1,2,4-triazin-5(4H)-one) at 0.5 kg haÿ1 were banded over the corn row immediately after planting
to control weeds.
2.3. Collection and measurements of surface runoff and tile drainage water
Surface runoff and tile drainage water from the 16 individual plots flowed into sump
holes by gravity (Fig. 1). A sump pump was installed in each of the 32 sump pits and
when the water level rose, a float sensor activated the sump pump and the water was
pumped through a water meter into an outlet drain. A multichannel datalogger was used
to monitor and store the water meter signals. The data stored in the datalogger were
converted into flow volumes (Tan et al., 1993).

Surface runoff and tile drainage water samples were collected automatically with 32
autosamplers (CALYPSO 2000S, Buhler Gmbh) located in an instrumentation building.
The autosampler was activated by the water meter sensor based on a predetermined
setting of the flow volume which ranged from 500 to 3000 l depending on the time of
year. Generally, wet conditions prevailed from late fall to spring that resulted in higher
volumes of surface runoff and tile drainage from the plots. The dry season usually
occurred in late spring and summer and smaller volumes of surface runoff and tile
drainage from the plots were expected, hence sampling frequency was increased.
2.4. Soil properties
Soil samples were collected at 0±25, 25±45, 45±80 and 80±120 cm depths from each
plot and field capacity, permanent wilting point, and particle size distribution were
measured. Soil moisture contents at 20, 40, 60, 80 and 100 cm depths were determined
during the growing season using a subsurface neutron moisture probe (Campbell Pacific

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

115

Model 503). Soil temperatures at 5, 10, 25, 40 and 60 cm depths were monitored year
round using soil temperature probe (Campbell Scientific Model 107). Hydraulic

conductivity was measured using an auger hole method and averaged over the 0±
120 cm depth. Soil organic carbon was determined from soil samples collected at 0±
15 cm depth. Soil samples at 20 cm depth increments to 100 cm were taken in spring and
fall and from 0 to 30 and 30 to 60 cm depths at 0, 3, 7, and 42 days after N application
were analyzed for NH4‡ ÿ N and NO3ÿ using a TRAACS 800 autoanalyzer
(Bran ‡ Luebbe, Buffalo Grove, IL).
2.5. Analysis of nitrate concentration in water samples
Surface runoff and tile drainage water samples were collected and stored in glass
bottles at 48C. These water samples were filtered through a 0.45 mm filter (Gelman GN-6,
Gelman Sciences, MI) and were analyzed for nitrate using cadmium reduction method
(Tel and Heseltine, 1990; Drury et al., 1996) on a TRAACS 800 autoanalyzer
(Bran ‡ Leubbe, Buffalo Grove, IL). Flow weighted mean nitrate concentrations were
calculated from the sum of nitrate loss over the study period from 1 November 1991
through 31 October 1994 divided by the sum of the total flow volume.

3. The LEACHM model
3.1. Model description
Leaching Estimation And Chemistry Model (LEACHM) is a process-based model
developed by Hutson and Wagenet (1989)) that describes the water and solute movement,
transformation, plant uptake and chemical reactions in unsaturated soils to a maximum

depth of 2 m. The model applies numerical solution techniques to the Richard's water
flow equation (Hutson, 1983) and the convection dispersion equation (CDE) using finite
difference methods. The LEACHM model contains four modules:
1.
2.
3.
4.

LEACH-W simulates only the water regime,
LEACH-N simulates nitrogen transport and transformation,
LEACH-P simulates the pesticide displacement and degradation, and
LEACH-C simulates the transient movement of inorganic ions.

The above modules are capable of simulating the absorption of water and solutes by plant
roots, precipitation and evaporation. The following inputs are common to all of the four
modules.
± Soil properties and initial conditions for each soil segment including water content or
water potential; hydrological constants for calculating retentivity and hydraulic
conductivity; particle size distribution, and the relevant soil chemical properties.
± Soil surface boundary conditions including irrigation and rainfall amounts; rates of

application; mean temperatures and diurnal amplitudes (weekly means) if a
temperature simulation is required; and potential evaporation (weekly totals).

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H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

± Crop details or control variable if no crops are present. The crop parameters include
time of planting; root and crop maturity at harvest; root and cover growth parameters,
and soil and plant water potential limits for water extraction by plants.
± Other constants were also used in determining lower boundary conditions, time steps,
dispersion and diffusion coefficients, chemical reactions and output details. Some of
these constants rarely require alteration. These are also listed in the data files and the
user has the option of changing these constants.
3.2. Model limitations
There are limitations in LEACHM model. The model is not applicable to the following
conditions:
± Profiles with unequal depth increments.
± Prediction of surface runoff water quantity and quality.
± Simulating plant responses to soil or environmental changes.

± Prediction of crop yields.
± Transport of immiscible fluids.
± Solute distributions and transport in 2 and 3 dimensional flux patterns.
± Runoff water effects on management practices and nitrate leaching are not simulated
by the model.
± The model does not take into account macropore effects.
3.3. Model input and initial values
In order to apply LEACHM, the soil profile was divided into three horizontal segments
of equal depth: 0±0.2, 0.2±0.4, and 0.4±0.6 m. Since the available data were measured at
the soil surface and 0.6 m drain depth only, intermediate data were interpolated from the
measured data. These data include water table depths, nitrate-N (NO3ÿ ÿ N)
concentrations, soil properties, and hydrologic parameters. The data measured in
December 1991 were used as initial values for January 1992 and those measured in
December 1992 for January 1993. The water table depths, surface soil temperatures, and
evaporation data were summarized to fit the weekly input format.
The initial NO3ÿ ÿ N soil profile concentrations were calculated from the drain water
concentrations according to the equation:
‰NO3 ÿ NŠs ˆ

‰NO3 ÿ NŠw =



(1)

Where [NO3 ÿ N]w concentration (mg N lÿ1 water), [NO3ÿ ÿ N]s ˆ NO3ÿ ÿ N concentration (mg N kgÿ1 dry soil),  ˆ bulk density of the soil layer (g cmÿ3), and
q ˆ volumetric water content (cmÿ3 cmÿ3).
This procedure assumes that the NO3ÿ ÿ N concentration in the soil profile is equal to
that in the drain water. This assumption may not always be true, but it provides a logical
way to estimate the soil NO3ÿ ÿ N concentration when measured soil data are not
available.

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

117

3.4. Model calibration and prediction
Model calibration and prediction were carried out in two stages. The first stage was
that the data for 1992 were used to calibrate the model and to do sensitivity analysis of
model's key parameters. Available observed data between January and December 1992
were used in the calibration processes. The second stage was that the datasets of 1993±
1994 were used for validation of the calibrated parameters of the model. Donigian (1983)
suggested that it is an acceptable procedure to use one year's data to calibrate a
simulation model and then apply the calibrated parameters to subsequent periods.

4. Results and discussion
4.1. Tile nitrate loss Ð field data
The field tile nitrate loss data were reported previously (Drury et al., 1996), however,
since the first year of this data set was used to calibrate the model and the 2nd and 3rd
year of the data were used to validate the model the following is a summary of these
results. Tile drainage samples (5801) were collected from November 1991 until 31
October, 1994. The CDS treatment reduced tile drainage volumes by 24%, nitrate
concentration in tile drainage water by 25% (from 10.6 to 7.9 mg N lÿ1) and average
nitrate loss by 43% (from 25.8 to 14.6 kg N haÿ1 yearÿ1) compared to the FD treatments.
There were no significant differences between crop management treatments however it
was noted that the lowest nitrate loss (11.6 kg N haÿ1 yearÿ1) was achieved with the
combination of CDS and the conservation tillage treatment (CDS-SS).
4.2. Model calibration
The calibration process was to obtain the initial values for model parameters that
would estimate NO3ÿ ÿ N concentrations closest to the observed values in the drain flow.
The main parameters were the transformation rate constants for urea hydrolysis, ammonia
nitrification, and the denitrification processes. Also, included in the calibration were the
molecular diffusion coefficient (Do), which accounts for the movement of solute in
response to aqueous concentration gradients, and dispersivity (), which describes the
effects of the soil porosity on the overall solute transport. Since saturated hydraulic
conductivity and soil bulk density are the major parameters used by LEACHM to
distinguish between tillage practices, these parameters were included in the calibration
process. The field measurements did not provide conductivity values for each soil layer.
Hence direct comparisons of MP effects and the SS practices were not feasible. The
saturated conductivity (Ks) and soil bulk density measured in 1991 for field plots are
listed in Table 1. The MP practice exerts greater disturbance to the soil than the SS
treatment which results in greater porosity in the tilled layer. This results in higher
hydraulic conductivity for soil under MP treatment (Table 1).
In this study, the parameters of molecular diffusion coefficient, dispersivity, hydraulic
conductivity, soil bulk density and urea hydrolysis in LEACHM are considered to be key

118

Duplicate plot Nos.

1 and 13

2 and 14

3 and 15

4 and 16

5 and 9

6 and 12

7 and 10

8 and 11

Management practices
Ks (mm/day)
Bulk density 0±25 cm
(g/cm3)
25±60 cm

MP-IC CDS
58.0
1.18

MP-IC FD
30.5
1.18

SS-IC CDS
36.5
1.22

SS-IC FD
24.5
1.22

MP-FD
52.5
1.18

SS-FD
26.0
1.22

SS-CDS
65.0
1.22

MP-CDS
93.5
1.18

1.46

1.46

1.46

1.46

1.46

1.46

1.46

1.46

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Table 1
Saturated hydraulic conductivity (Ks) and soil bulk density for field plots (1991)

Table 2
Sensitivity tests for selected parameters in LEACHM modela
Parameter

Dispersivity ˆ (120)
Dispersivity (mm)
Diffusion coefficient ˆ (120)
Bulk density (g/cm3)

Hydraulic conductivity (mm/day)

Parameter
Observed
Diffusion coefficient (mm2/day)
Dispersivity ˆ (120)
Dispersivity (mm)
Diffusion coefficient ˆ (120)
Bulk density (g/cm3)

Hydraulic conductivity (mm/day)

Value

60.00
120.00
150.00
120.00
60.00
10.00
1.00
1.18
1.30
10.00
58.00
100.00

11
19
2
February February March

24
March

9
April

27
April

14
May

26
May

8
June

22
June

21.67
23.20
23.20
23.20
23.20
23.10
23.00
23.2
23.20
23.1
23.4
23.20
23.00

14.16
17.00
17.00
17.10
17.00
16.60
9.32
17.3
17.00
16.9
23.7
17.00
15.2

11.85
8.65
8.69
8.71
8.69
7.63
2.24
8.67
8.69
8.75
19.8
8.69
7.73

9.77
5.33
5.37
5.39
5.37
4.26
1.19
5.37
5.37
5.41
18.2
5.37
4.29

6.67
4.58
4.63
4.65
4.63
3.49
0.58
4.42
4.63
4.91
16.8
4.63
4.77

4.65
3.27
3.31
3.34
3.31
2.10
0.27
3.21
3.31
3.51
17
3.31
2.59

3.63
2.45
2.49
2.51
2.49
1.46
0.18
2.46
2.49
2.64
18.4
2.49
2.23

4.76
1.37
1.42
1.44
1.42
0.51
0.13
1.38
1.42
1.58
16
1.42
1.68

4.64
0.00
0.00
0.00
0.00
0.00
0.09
3.09E-05
0.00
1.87E-05
0.00207
0.00
4.06E-05

15
21
July
July
2.95
6.82
0.07
0.03
0.07
0.03
0.07
0.03
0.07
0.03
0.05
0.02
0.05
0.05
0.0938 1.2
0.07
0.03
0.266
2.51
0.00175 0.0202
0.07
0.03
1.04
4.05

13.06
13.30
13.30
13.30
13.30
12.70
7.00
13.5
13.30
13.3
22.6
13.30
12.2

13.75
12.20
12.20
12.20
12.20
11.50
5.25
12.2
12.20
12.2
21.5
12.20
11.5

10
26
23
26
5
17
14
August
August September October November November December
2.63
3.65
2.48
0.97
0.46
0.74
0.63
0.00
0.03
0.11
0.16
0.18
0.21
0.30
0.00
0.03
0.12
0.18
0.20
0.23
0.33
0.00
0.03
0.12
0.19
0.21
0.24
0.35
0.00
0.03
0.12
0.18
0.20
0.23
0.33
0.00
0.00
0.01
0.01
0.01
0.01
0.01
0.05
0.04
0.02
0.01
0.01
0.01
0.02
3.96E-05 0.11
0.451
0.659
0.713
0.77
0.932
0.00
0.03
0.12
0.18
0.20
0.23
0.33
2.77E-05 0.0523 0.118
0.162
0.173
0.211
0.387
2.64E-07 0.00296 0.0286
0.00
0.03
0.12
0.0444
0.371
0.588

0.077
0.18
0.592

0.0926
0.20
0.716

0.112
0.23
1.28

0.16
0.33
1.8

Observed data from plots 1 and 13 (MP-IC-CDS) were used in the test. Data year ˆ 1991. NO3 ÿ N concentration in the tile drains at 0.6 m depth (mg N l-1).

119

a

60.00
120.00
150.00
120.00
60.00
10.00
1.00
1.18
1.30
10.00
58.00
100.00

6
January

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Observed
Diffusion coefficient (mm2/day)

Value

120

Parameter

Rate
constants

6
January

11
February

19
February

2
March

24
March

9
April

27
April

14
May

26
May

8
June

22
June

Observed
Urea hydrolysis
Nitrification
Denitrification

23.19

21.08

19.34

20.87

19.53

17.76

14.72

13.51

16.06

18.41

18.08

0.36
0.3
0.1

21.5

21.5

21.5

21.5

21.4

21.4

21.4

21.3

21.3

21.2

12.7

Urea hydrolysis
Nitrification
Denitrification

0.16
0.30
0.10

21.5

21.5

21.5

21.5

21.4

21.4

21.4

21.3

21.3

21.2

12.7

Urea hydrolysis
Nitrification
Denitrification

0.16
0.1
0.1

21.5

21.5

21.5

21.5

21.4

21.4

21.4

21.3

21.3

21.2

12.7

Urea hydrolysis
Nitrification
Denitrification

0.16
0.1
10

21.5

21.5

21.5

21.5

21.4

21.4

21.4

21.3

21.3

21.2

12.7

Urea hydrolysis
Nitrification
Denitrification

0.4
0.3
0.1

21.5

21.5

21.5

21.5

21.4

21.4

21.4

21.3

21.3

21.2

12.7

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Table 3
Testing the sensitivity of the transformation rate constants for LEACHM model using observed data from plots 2 and 14 (MP-IC-FD)

Parameter

Rate
constants

15
July
7.91

21
July
8.11

10
August
3.11

26
August
2.46

23
26
September October
0.90
0.74

5
17
14
November November December
0.74
1.48
1.52

0.36
0.3
0.1

0.00209

0.448

1.27

1.81

2.65

4.07

4.53

5.35

8.2

Urea hydrolysis.
Nitrification
Denitrification

0.16
0.3
0.1

0.00147

0.349

0.993

1.45

2.17

3.41

3.81

4.54

7.1

Urea hydrolysis
Nitrification
Denitrification

0.16
0.1
0.1

0.000765

0.205

0.585

0.881

1.35

2.18

2.45

2.95

4.7

Urea hydrolysis
Nitrification
Denitrification

0.16
0.1
10

0.000765

0.205

0.585

0.881

1.35

2.18

2.45

2.95

4.7

Urea hydrolysis.
Nitrification
Denitrification

0.4
0.3
0.1

0.00219

0.459

1.3

1.85

4.2

12.4

13.5

15.8

19.6

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Observed
Urea hydrolysis
Nitrification
Denitrification

121

122

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

in influencing model output. Such parameters in LEACHM were selected together with
observed data from plots 1 and 13 under MP-IC-CDS and plots 2 and 14 under MP-ICFD management practices, for sensitivity tests. The initial values contained in plots 1 and
13 and 2 and 14 are presented in Tables 2 and 3.
Initial tests indicated that the model did not respond to effects of varying calibration
parameters in the winter period. The urea hydrolysis constant was varied between 0.1
dayÿ1 and 0.4 dayÿ1, nitrification constant between 0.1 dayÿ1 and 0.3 dayÿ1, and
denitrification between 0.1 dayÿ1 and 10 dayÿ1. After urea side dress application on the
29th June 1992, a hydrolysis value of 0.4 dayÿ1 increased NO3ÿ ÿ N concentrations in
drainage water and by December it was 10 times more than the observed. When the
nitrification constant was increased to 0.3 dayÿ1, the simulated NO3ÿ ÿ N concentrations
increased seven times between June and December. Values of denitrification above 0.1
dayÿ1 had no noticeable effects on simulated concentrations in the free drainage
treatments. This is probably due to the drier soil conditions that exist under free drainage.
After several trials, values of 0.36, 0.1, 0.1 dayÿ1 were chosen for urea hydrolysis,
nitrification, and denitrification processes, respectively, as the predicted and measured
values were in good agreement using these constants. The model predictions were
consistent with no increase in urea hydrolysis for all runs following the application of
urea. But a gradual increase in the predicted output between July and December
suggested that the model assumes continuous hydrolysis of urea. Increasing the
hydrolysis rate, however, tended to increase the deviation of the predicted NO3ÿ ÿ N
leaching from the observed one.
The sensitivity of the model to molecular diffusion coefficient was tested using Do
values of 60, 120, and 150 mm2 dayÿ1. Using these values, no significant differences
were observed in the simulated leaching. Since it is rare to encounter Do values of
150 mm2 dayÿ1 in the field (Schulin et al., 1987; Van Der Ploeg et al., 1995), higher
values were not tested. The model was not sensitive to dispersivity () values between 10
and 80 mm, the range in which the model underestimated leaching, but a  value of
120 mm increased the nitrate leaching by almost 10 times which improved the models
predictions. Hence the  value of 120 mm was used in the model testing phase.
Increasing the soil bulk density between 1.0 and 1.30 g cmÿ3 tended to decrease
leaching after fertilizer application on 14 May, 1992 but its effects were not noticeable in
the winter period. Increasing the saturated hydraulic conductivity between 10 and
100 mm dayÿ1 resulted in about 50% reductions in leaching in the winter, but in the
summer a Ks value of 100 mm dayÿ1 increased leaching by up to 10 times. These
observations underscore the need to have measured data for these parameters, especially
in cases where tillage practices are being evaluated.
Other parameters found to be important in LEACHM performance include
precipitation rates, water table depths, and evaporation rates. Precipitation rates in the
range of 100 mm dayÿ1, representing precipitation duration of 2±4 h, gave better leaching
estimates. LEACHM assumes that no evaporation occurs during precipitation. It was also
not possible to differentiate between snow melt and actual rainfall from the available
dataset.
Under free drainage conditions, the model predictions were consistent with no increase
in urea hydrolysis after urea application on 29 June, 1992. The model predictions tended

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

123

to have greater deviations from the observed data in June. These deviations were also
observed towards the end of the simulation period in December.
4.3. Parameters used in the model testing phase of the study
Designated parameters for prediction of scenario from the calibration process, are
listed in Table 4. These values were chosen after several runs of the model. They gave the
best estimates for nitrate leaching for 1992. The simulated results and observed values,
using 1992 data, are plotted in Figs. 2 and 3.
The results of simulation of the nitrate leaching by LEACHM, using the parameters
listed in Table 4 together with the observed data for 1993 and 1994 are plotted in Figs. 4
and 5. The results indicated that the model performed well under CDS conditions, but
under free drainage conditions (FD) the model overestimated NO3ÿ ÿ N leaching. The
deviation becomes more pronounced with time, especially after N application and
progresses in the summer months throughout the fall, winter and spring to the following
summer of 1994 (Fig. 5). This overestimation may be caused by the inability of the
Table 4
Key parameters selected from LEACHM for calibration and simulation
Parameter definition

Value

Crop management
Plant uptake
N fertilizer application rate
Urea sidedress application rate

102/167a kg N haÿ1
10.56 kg N haÿ1
141.22/189.5/170.72 kg N haÿ1

Rate constants
Denitrification
Half saturation (at 50%)
Urea hydrolysis
Nitrification

0.1 dayÿ1
10 mg lÿ1
0.36 dayÿ1
0.1 dayÿ1

Soil
Soil layer thickness
Molecular diffusion
Dispersivity
Aev value in Campbell's equation
Value of b in Campbell's equation

0.2 m
120 mmb dayÿ1
120 mm
ÿ0.1 kPa
3.0/3.5/4.0c

Soil temperature response
Q10 factor

3

Soil moisture response
Saturation activity
Porosity

0.6
50%

a

Corn/annual ryegrass uptake, respectively.
Rates for 1992/1993/1994, respectively.
Soil layers: 0-0.2/0.2-0.4/0.4-0.6 (m).
Aev ˆ air enter value (Hutson and Case, 1987).
Q10 factor ˆ soil temperature response to a 108C change of optimal temperature.

b
c

124
H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Fig. 2. Nitrate concentrations in tile drainage water with CDS treatments. Study period 1992.

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Fig. 3. Nitrate concentrations in tile drainage water with FD treatments. Study period 1992.
125

126
H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Fig. 4. Nitrate concentrations in tile drain water with CDS treatments. Study period 1993±1994.

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Fig. 5. Nitrate concentrations in tile drainage water with FD treatments. Study period 1993±1994.
127

128

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

model to distinguish between snow-melt and rain or subirrigation. In such a situation the
model may predict larger flows through the soil resulting in increased NO3ÿ ÿ N
transport to the drains. It is possible that the model simulated drier soil profile conditions
which inhibit denitrification, and subsequently lead to higher N amounts in the soil
available for leaching. Khakural and Robert (1993) performed tests on LEACHM±N and
observed that the model simulated total leaching of NO3ÿ ÿ N from the soil profile very
well. However, Jemison et al. (1994) found that LEACHM±N only performed well when
the rate constants were calibrated for each year, a requirement that would be very time
consuming.
Under CDS conditions, there were no differences in model performance between MP
and SS tillage systems with IC, but the model overestimated leaching between February
and August 1994 under MP without an annual ryegrass intercrop. Overall the model is not
sensitive to immediate leaching following fertilizer applications as shown by model
underestimation of leaching after 17 May, 1993 the date when fertilizer was applied. The
model output indicated that the SS tillage system, would reduce nitrate leaching. This is
expected because MP tillage has a greater water conductivity rate which enhances
leaching especially under saturated flow conditions.
Under FD conditions, the model predicted highest nitrate leaching in MP without an
intercrop, and no notable differences between MP-IC, SS-IC and SS treatments. In all
treatments, the model overestimated NO3ÿ ÿ N leaching, with greater deviations
between predicted and actual data after September, 1993. A further calibration, using
consecutive multi-year data may be required to improve the prediction for the FD
treatments.
4.4. Comparison of the model predictions with the field observations
To determine how well a model performs, the model outputs are compared to the
measured independent dataset that was not used in the calibration process. It follows that
the model input data and rate constants are adjusted within a range of measured values
until a minimum difference between measured and predicted values is obtained. Methods
for achieving this include tests of means and variances, analysis of variances, mean error
difference and goodness of fit testing (Harrison, 1990; Loague and Green, 1991; Power,
1993). In this study, method of mean error difference, Eq. (2) was used.
Piˆn
…Oi ÿ Pi †
(2)
M ˆ iˆ1
n
where M is the mean error difference in mg N lÿ1, n is the number of observations, Oi and
Pi are individual observed and predicted values (mg N lÿ1), respectively. A mean error
difference (MED) which approaches zero is an indication of a good predictive model.
Overall there was no significant difference between the average MED of 1.26 mg N lÿ1
for the 1992 dataset and the average MED of 1.28 mg lÿ1 for the 1993 dataset (Table 5).
The model overestimated the predictive values by about 1.2%. This suggests that the
model accurately predicts NO3ÿ ÿ N leaching with independent dataset using a singleyear calibrated rate constant (1992 data) for a factorial design of management treatments.
It also suggests that the model should be calibrated using yearly data.

Treatments

MP-IC-CDS MP-IC-FD

SS-IC-CDS SS-IC-FD

MP-FD

SS-FD

SS-CDS

MP-CDS

Treatment Averages

January±December 1992
January±December 1993
January±August 1994
Mean across years

ÿ0.072
ÿ2.21
0.426
ÿ0.618

ÿ3.68
ÿ1.8
0.461
ÿ1.67

9.03
2.46
26.5
12.7

5.84
6.26
20
10.7

ÿ2.65
ÿ2.03
0.61
ÿ1.36

ÿ0.85
ÿ1.46
3.31
0.332

1.26
1.28
11.2

0.776
3.09
18.6
7.475

1.69
5.95
20
9.22

H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

Table 5
Error mean difference of nitrate concentration (mg lÿ1) between the model (predicted) and observed data for tile drainage events from 1992±1994

129

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H.Y.F. Ng et al. / Agricultural Water Management 43 (2000) 111±131

The average mean error difference of 11.24 mg lÿ1 of 1994, using partial data series
from January to August 1994 showed significant difference compared to the average
mean error difference of 1.26 mg lÿ1 of 1992 dataset. It was about nine times
overestimated by the model. Thus, modelling of NO3ÿ ÿ N leaching for at least 1 year is
required. In temperate regions, most of the cropping cycle occurs between May and
October. There is a 6-month non-cropping period from November to April. Drury et al.
(1996) found that most NO3ÿ ÿ N loss occurs during the noncropped period, both in
surface runoff and in subsurface tile drainage. Nitrogen lost in surface runoff is
considerably less than from tile drainage.
The LEACHM model performed a better prediction of nitrate leaching on plots under
CDS treatments (Table 5). The average values of mean error difference, regardless of the
tillage and cropping treatments, for MP-IC-CDS, SS-IC-CDS, SS-CDS, and MP-CDS,
respectively, were 0.43, 0.46, 0.61 and 0.33 mg N lÿ1 (Table 5). Both the predicted values
using the LEACHM model and the field measured data showed that CDS decreases
NO3ÿ ÿ N leaching. Thus, both the field observations and the model predictions indicate
that CDS is a new technology which can be used to reduce nitrate leaching from tile
drained agricultural soils.

5. Conclusions
The simulated results indicated that free drainage (FD) management systems would
result in higher nitrate leaching whereas controlled drainage and subsurface irrigation
(CDS) showed reduced nitrate leaching. The LEACHM model performed better
predictions for nitrate leaching on plots under CDS than on plots under FD. For all the
four management treatments plots with CDS showed smaller values of mean error
difference compared with those plots under FD. The calibration process using one year of
data appeared to be acceptable. However, application of partial data series for model
prediction resulted in significantly higher values of mean error difference.

Acknowledgements
The authors wish to thank the Great Lakes Water Quality Program for the financial
support of this project. We also express appreciation for expert technical assistance to M.
Soultani, Dr. T. Oloya, D. MacTavish, K. Rinas, J. St. Denis, V. Bernyk, G. Stasko and J.
Stowe, and to the farm crew S. Mannel, A. Szabo, and M. Bissonnette at the Eugene F.
Whelan Experimental Farm.

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