J.M. LaRuffa, W.R. Raun, S.B. Phillips,
J.B. Solie, M.L. Stone, and G.V. Johnson
ABSTRACT
The resolution at which
variability in soil test and yield parameters exists is fundamental to the
efficient use of real-time sensor-based variable rate technology.
This study was conducted to determine the optimum field element
size for maximum yields in winter wheat (Triticum
aestivum L.) using variable nitrogen rates based on sensor readings.
The effect of applying N at four different resolutions (0.84, 3.34,
13.38 and 53.51m2) on grain yield, N uptake and efficiency of
use was investigated at Haskell, Hennessey, Perkins, and Tipton, Oklahoma.
At Feekes growth stage 5 an optical sensor developed at Oklahoma
State University measured red (670± 6 nm) and near-infrared (NIR, 780±6
nm) reflectance in each subplot. A
normalized-difference-vegetative-index (NDVI) was calculated from the
sensor measurements. Nitrogen was applied based on a NDVI N rate calibration.
Nitrogen rate, yield, N uptake, and efficiency of use responses to
treatment resolution and applied N fertilizer differed in the three years
of this experiment. In the first year, no significant influence of resolution on
N rate, yield, N uptake, or efficiency of use was observed, likely a
result of a late freeze that drastically reduced yields.
In the second year of the experiment, there was a trend for a lower
N rate and a higher efficiency of use for the 0.84 m2
resolution. In the third year
of this study, there was a trend for a higher yield and a higher
efficiency of use for the 53.51 m2 resolution at both sites.
In general, the finer resolutions tended to have increased
efficiency of use in high yielding environments (>2300 kg ha-1),
and decreased yields in low yielding environments.
This study indicates that application of prescribed fertilizer
rates based on spatial variability at resolutions finer than 53.51m2
could lead to increased yields, decreased grower costs, and decreased
environmental impact of excess fertilizers.
INTRODUCTION
Soil testing is the most
widely used method to detect nutrient availability.
However, a composite sample estimates the mean soil test nutrient
level which does not address the variability encountered in that field
(Raun et al., 1998). Optical
sensor-based variable rate technology (s-VRT) has the ability to detect
submeter-variability of nutrients on-the-go and simultaneously apply
prescribed fertilizer rates based on those needs, thus realizing the
potential to increase yields, decrease grower costs, and decrease the
environmental impact of excess fertilizers.
In order to effectively utilize s-VRT, Sawyer (1994) suggested that
within-field variation must be accurately identified and reliably
interpreted. Therefore, there
is a need to establish the optimum field element size, which is
fundamental to s-VRT in order to detect micro-variability of nutrients,
such as nitrogen. Solie et
al. (1996) defined the optimum field element size as that area which
provides the most precise measure of the available nutrient where the
level of that nutrient changes with distance.
They proposed 0.8 to 1.4 m as the range for the field element size.
The field element size should identify the smallest resolution
where cause and effect relationships can be measured, where misapplication
could pose a risk to the environment, where net economic return can be
achieved, and where differences in yield potential may exist (Raun et al.,
1998). Sensing need and
applying fertilizer based on the optimum field element size should provide
the most precise measurement of actual crop need and its application to
the crop (Solie et al., 1996).
Sawyer (1994) recently pointed
out that on-the-go sensing was still futuristic; however, new developments
by Stone et al. (1996) have demonstrated that optical sensor based
variable rate application systems are capable of detecting nutrient
variability, and research is being conducted to more fully develop s-VRT.
The initial optical sensor based system at Oklahoma State
University measured spectral irradiance or light energy per unit area of
the target crop. Irradiance
is sensitive to sunlight, illumination angle, crop direction, and cloud
cover. The current sensor
based system measures reflectance. Spectral
irradiance measurements are obtained using an integrated sensor with
photodiode-based sensors and interference filters for red (671± 6 nm) and
near infrared (NIR, 780 ± 6 nm) (Stone et al., 1996b). Up-oriented and down-oriented sensors measure solar spectral
irradiance (incident radiation) and plant surface irradiance (reflected
radiation), respectively. Reflectance
values are calculated as a ratio of the incident and reflected radiation.
Measurements taken at these wavelengths can be used to calculate a
normalized-difference-vegetative-index (NDVI), which has been demonstrated
to be highly correlated with plant N uptake (Stone et al., 1996a), and a
reliable predictor of topdress N needs (Roth et al., 1989).
The objective of this study was to determine the optimum field
element size for maximum yields in winter wheat using variable nitrogen
rates based on sensor readings and the calculated NDVI values.
MATERIALS AND METHODS
Two
studies were initiated in January 1997 at Tipton and Hennessey, Oklahoma. The study was continued in 1998 at Tipton and Perkins,
Oklahoma and in 1999 at Tipton and Haskell, Oklahoma.
Soil types and initial soil test results are reported in Table 1.
Most sites
were N deficient, but had no P or K deficiencies.
Winter wheat (Triticum aestivum L.) Tonkawa had been previously established
at all sites at 78 kg ha-1 seeding rate. Wheat was planted in early October using 0.19 m row spacing.
No preplant N was applied to any site in any year.
At each location, a completely randomized design was employed.
Four levels of resolution (field element size) were evaluated in a
randomized complete block design with three replications.
Resolutions tested were 0.91 by 0.91m, 1.83 by 1.83 m, 3.66 by
3.66m and 7.32 by 7.32m or 0.83, 3.34, 13.38, 53.31 m2,
respectively. Plot size for
all treatments was 7.32 by 7.32m with main plots subdivided by the
appropriate number of subplots for each resolution (Figure 1).
In addition, planting , sensing, fertilization, and harvest dates
at each site are reported in Table 2.
At Feekes growth stage 5
(Large, 1954) an optical sensor developed at Oklahoma State University
measured red (671± 6 nm) and near-infrared (NIR, 780±6 nm) wavelengths
in each subplot. The sensor
was mounted on the front of a John Deere model 318 lawn and garden tractor
with a field-of-view of 0.91 m x 0.15 m.
Approximately 10 readings were taken per 0.84 m2 area.
In 1996-97, a normalized-difference-vegetative-index (NDVI) was
calculated from the sensor measurements obtained for red and NIR
uncalibrated voltage readings, according to the following equation, NDVI =
(NIR-red)/(NIR+red).
In 1997-98, NDVI was
calculated from calibrated voltage readings that accounted for incoming
light. The sensor used in
these tests measured both incident and reflected radiation.
Field-of-view was the same as that in the 1996-97 experiments.
Reflectance values (the ratio of incident and reflected values)
were used in the NDVI calculation to minimize the error associated with
cloud cover, shadows and sun angle. The
modified equation used in 1997-98 was; NDVI = [(NIRref/NIRinc)-(Redref/Redinc)]/[(NIRref/NIRinc)+(Redref/Redinc)]
where NIRref and Redref = magnitude of
reflected light, and NIRinc and Redinc = magnitude
of the incident light.
In
1996-97, variable N rates were determined for the subplots based on a
linear NDVI - N rate scale. Subplots
with the lowest NDVI values received the highest fertilizer N rate (112 kg
ha-1) and the highest NDVI values received the lowest
fertilizer N rate (0 kg ha-1).
Linear regression models were calculated in Excel (Table 3).
An identical linear NDVI N rate scale was utilized at Perkins
in 1997-98. However, a ramped
NDVI N rate scale was utilized at Tipton in 1997-98 to account for
variation in percent coverage or stand density.
The linear NDVI - N rate scale was based on previous work reported
by Stone et al. (1996a).
In
1998-99, nitrogen fertilization rates were based on the in-season
estimated yield or INSEY index (Raun et al., 1999).
Based on previous work, INSEY was computed using the sum of NDVI at
Feekes 4 and NDVI at Feekes 5, divided by the growing degree days from
Feekes 4 to Feekes 5. Nitrogen
fertilizer rates were then determined using the following equation:
N
rate =[(Predicted grain yield *%N in the grain)(Predicted forage N
uptake at Feekes 5)]/0.70
where predicted grain
yield was estimated from INSEY, %N in the grain was obtained from average
values associated with winter wheat at different yield levels, and
predicted forage N uptake at Feekes 5 was based on the relationship with
NDVI (Raun et al., 2000).
Each year the amount of N
fertilizer for each subplot was determined and the appropriate amount of
ammonium nitrate was broadcast applied by hand.
Each location was harvested with a Massey Ferguson 8XP
self-propelled combine in June and early July (Table 2).
The entire subplot area was harvested and grain weights and percent
moisture were automatically recorded.
Pre-harvest calibration of the combine scales indicated that
weights had precision of ± 15.44 g.
Grain samples were collected and weighed on lab scales when yields
were low (<50 g). Grain
was ground to pass a 106 um (140 mesh) screen and total nitrogen content
in grain was analyzed using a Carlo Erba NA 1500 dry combustion analyzer (Schepers
et al., 1989). The efficiency
of use index was calculated as grain yield/N rate (Moll et al., 1982).
Nitrogen uptake was determined by multiplying percent N in the
grain by grain yield. Statistical analysis was performed using SAS (SAS Institute,
1988).
RESULTS
Response
to treatment resolution and applied N fertilizer differed over the three
years and four locations. Results
from each location and year are discussed separately due to the
contrasting response.
Hennessey, 1996-97
There was no significant
influence of resolution on N rate, yield, N uptake, or efficiency of use
(Table 4). The NDVI values
for this location ranged from 0.70 to 0.81 (mean of 0.78 ±
0.01) and were normally distributed.
In general, NDVI values in excess of 0.70 indicate that plant
coverage of the soil was equal to or greater than 70% (Lukina et al.,
1999). At the early stages of
growth evaluated here, this also indicated that plant health was excellent
for the entire experimental area and that plot to plot variability was
likely small. Also, the CV
(coefficient of variation) for NDVI was very low (1%), indicating that
limited variability existed at this site.
A large portion of the experiment had high NDVI values (high N
uptake) and was likely non-responsive.
Because of this, low N rates were applied to areas where no
response was expected and high N rates were applied where only limited
increases were realistic.
Tipton, 1996-97
NDVI values at this location
ranged from 0.18 to 0.48 (mean of 0.34 ±
0.05) and were normally distributed.
More variability in NDVI was found at this site than the Hennessey
site. Grain yields were drastically lower at Tipton compared to
Hennessey due to freeze damage on April 11, 12 and 13.
There was no significant influence of resolution on N rate, yield,
N uptake or efficiency of use (Table 5).
However, it should be noted that the poor stands (evidenced in the
low NDVIs) were the result of moisture limiting conditions that lowered
yield potential. Therefore,
the chances of observing a response to added fertilizer at any of the
treatment resolutions were poor.
Perkins, 1997-98
NDVI values at this location
ranged from 0.28 to 0.63 (mean of 0.42 ±
0.05) and were normally distributed.
The linear NDVI N rate scale used was expected to encompass the
entire range of N needs (maximum N need at NDVI = 0.28 and limited N need
at NDVI = 0.63). There was no
significant influence of resolution on N rate, yield, N uptake or
efficiency of use (Table 6). However,
there was a trend for a lower N rate and a higher efficiency of use for
the 0.84 m2 resolution. Although
nitrogen uptake was somewhat lower for the finest resolution (0.84 m2),
it was important to find that the standard deviation was lower at this
resolution when compared to coarser resolutions (means of 51.53 ±
1.88, 52.30 ±
5.81, 54.21 ±
4.67, and 60.27 ±
6.63 for the 0.84, 3.34, 13.38, 53.51 m2 resolutions,
respectively). This suggests
that topdress N fertilization based on predicted forage N uptake (every
0.84 m2) at early stages of growth could result in homogeneity
of grain yield. Furthermore, it was important to note that the CVs separated
by treatment for yield and efficiency of use were lowest for the 0.84 m2
resolution (Table 7), suggesting that small-scale management assisted in
decreasing treatment heterogeneity.
Tipton, 1997-98
NDVI values at this location
ranged from 0.28 to 0.79 (mean of 0.56 ±
0.08) with a bimodal distribution. Grain
yields increased for the coarser resolutions at this site (Table 8). There was no significant influence of resolution on N rate,
efficiency of use or N uptake. However,
there was a trend for a higher efficiency of use at the 0.84 m2
resolution, supported in part by a significant quadratic relationship
between efficiency of use and resolution.
The CVs separated by treatment for yield and efficiency of use were
lowest for the 13.38 m2 resolution (Table 9).
This suggests that micro-variability was better managed at a
resolution less than 53.51 m2 but not necessarily at the 0.84 m2
resolution that we expected. This
supports management of resolutions of 13.38m2, much finer than
anything presently promoted in commercial agriculture.
Haskell, 1998-99
INSEY values at this location
ranged from 0.0043 to 0.0069 (mean of 0.0057 + 0.0005).
There was no significant influence of resolution on N rate, grain
yield, N uptake, or efficiency of use (Table 10).
However, there was a trend for a higher N rate, yield, N uptake,
and efficiency of use at the 53.51 m2 resolution.
A significant linear relationship was found between yield and
resolution and N uptake and resolution.
However, it should be noted that this observation took place at low
yield levels (<1750 kg ha-1).
Tipton, 1998-99
INSEY values at this location
ranged from 0.0027 to 0.0059 (mean of 0.0038 + 0.0005).
Similar to results at Haskell, 1998-99, a trend for increased N
uptake and grain yield at the coarser resolutions was observed, but at low
yield levels.
Discussion
The lack of differences due to
management resolution noted in this study may have been due to several
factors that were not initially considered.
Using the John Deere 318 lawn and garden tractor to sense each
0.84m2 area in all 24 subplots for the 0.84m2
resolution increased soil compaction, reduced forage growth, and decreased
yields when compared to the coarser resolutions that required few passes
over main plots. The range of
INSEY values for the 1998-99 cropping season was unusually narrow when
observing other data reported for wheat (Raun et al., 2000).
This in turn limited the likelihood of observing yield differences
as a result of treating within plot variability.
The strategies used to adjust fertilizer N based on sensor readings
differed for all three years of the study.
Changes in the N fertilization strategy were made based on
increased understanding of problems encountered in other ongoing projects.
Lastly, the lack of notable statistical treatment differences could
have been due to the low grain yields found at all sites in all years.
Nitrogen availability although normally limiting, likely was only a
minor factor affecting grain yield under these conditions.
Some of the main factors limiting grain yields for the locations
and years evaluated included poor stands, late harvest, lodging, and
compaction.
CONCLUSIONS
The effect of applying N
at four different resolutions (0.84, 3.34, 13.38 and 53.51m2)
on wheat grain yield, N uptake and efficiency of use was investigated from
1996 to 1999. Sensor readings were collected at Feekes growth stage 5 and
subsequently used to determine topdress N rates based on predicted forage
N uptake. In general, the
finer resolutions tended to have increased efficiency of use in high
yielding environments (>2300 kg ha-1), and decreased
efficiency of use in low yielding environments.
Although not consistent over the years included in this work,
application of prescribed fertilizer rates based on spatial variability at
resolutions finer than 53.51m2 could lead to increased yields,
decreased grower costs, and decreased environmental impact of excess
fertilizers.
REFERENCES
Large, E.C.
1954. Growth stages in
cereals. Plant Pathol.
3:128-129.
Lukina, E.V., M.L. Stone
and W.R. Raun. 1999. Estimating vegetation coverage in wheat using digital
images. J. Plant Nutr. 22(2):341-350.
Moll, R.H., E.J.,
Kamprath, and W.A. Jackson. 1982.
Analysis and interpretation of factors which contribute to
efficiency of nitrogen utilization. Agron
J. 74:562-564.
Raun, W.R., J.B. Solie,
G.V. Johnson, M.L. Stone, R.W. Whitney, H.L. Lees, H. Sembiring, and S.B.
Phillips. 1998. Micro-variability
in soil test, plant nutrient and yield parameters. Soil Sci. Soc. Am. J. 62:683-690.
Raun, W.R., G.V.
Johnson, M.L. Stone, J.B. Solie, W.E. Thomason and E.V. Lukina. 1999.
In-season prediction of yield potential in winter wheat. Better Crops
83(2): 24-25.
Raun, W.R., J.B. Solie,
M.L. Stone, G.V. Johnson, E.V. Lukina, W.E. Thomason and J.S. Schepers.
2000. In-season prediction of wheat yield potential using canopy
reflectance. (Agron. J.)
Roth, G.W., R.H. Fox,
and H.G. Marshall. 1989.
Plant tissue tests for predicting nitrogen fertilizer requirements
of winter wheat. Agron. J.
81:502-507.
SAS Institute Inc.
1988. SAS/STAT
Users Guide. 6.03 ed.
SAS Institute Inc., Cary, NC.
Sawyer, J.E.
1994. Concepts of
variable rate technology with considerations for fertilizer application.
J. Prod. Agric. 7:195-201.
Schepers, J.S., D.D.
Francis, and M.T. Thompson. 1989.
Simultaneous determination of total C, total N, and 15N on soil and
plant material. Commun. in Soil Sci. Plant Anal. 20(9&10):949-959.
Solie, J.B., W.R. Raun,
R.W. Whitney, M.L. Stone, J.D. Ringer.
1996. Optical sensor based field element size and sensing strategy
for nitrogen application. Trans. ASAE 39(6):1983-1992.
Stone, M.L., J.B. Solie,
R.W. Whitney, W.R. Raun, and H.L. Lees.
1996a. Sensors for detection of nitrogen in winter wheat.
SAE Technical paper series. SAE
Paper No. 961757. SAE,
Warrendale PA.
Stone, M.L., J.B. Solie,
W.R. Raun, R.W. Whitney, S.L. Taylor, and J.D. Ringer. 1996b.
Use of spectral radiance for correcting in-season fertilizer
nitrogen deficiencies in winter wheat.
Trans. ASAE 39(5):1623-1631.
TABLE 1.
Initial surface (0-15 cm) soil test characteristics prior to
treatment application, and soil classification at Haskell, Hennessey,
Perkins, and Tipton, Oklahoma.
Location
|
pH
|
P
|
K
|
NH4-N
|
NO3-N
|
Total
N
|
Organic
C
|
|
|
------------------mg
kg-1-----------------
|
----------g
kg-1----------
|
Haskell
|
4.8
|
34
|
240
|
19
|
14
|
0.56
|
6.84
|
Classification
|
Taloka
silt loam (fine, mixed, thermic Mollic Albaqualfs)
|
|
|
|
|
|
|
|
|
Hennessey
|
6.5
|
144
|
457
|
5
|
14
|
1.09
|
12.37
|
Classification
|
Shellabarger
sandy loam (fine-loamy, mixed, thermic Udic Argiustolls)
|
|
|
|
|
|
|
|
|
Perkins
|
6.7
|
51
|
143
|
5
|
4
|
0.60
|
5.33
|
Classification
|
Teller
sandy loam (fine, mixed, thermic Udic Argiustolls)
|
|
|
|
|
|
|
|
|
Tipton,
1996
|
7.3
|
44
|
523
|
4
|
9
|
0.69
|
7.53
|
Tipton,
1997
|
7.5
|
40
|
359
|
11
|
10
|
0.69
|
7.53
|
Classification
|
Tillman-Hollister
clay loam (fine, mixed, thermic Pachic Argiustolls)
|
pH
1:1 soil:deionized water; P and K Mehlich-3 extraction; NH4-N
and NO3-N 2 M KCL extract, organic C and total N
dry combustion
|
TABLE 2.
Planting , sensing, fertilization, and harvest dates, 1996-1999.
_____________________________________________________________________
Location Planting
Date Sensing
Date Fertilization
Date
Harvest Date
Hennessey 10/02/96
02/11/97
02/13/97
07/25/97
Tipton
10/07/97
02/04/97
02/06/97
07/12/97
Perkins 10/21/97
02/24/98
03/04/98
06/16/98
Tipton
10/16/97
01/27/98
02/12/98
06/07/98
Haskell 10/26/98
02/24/99
03/23/99
07/06/99
Tipton
10/08/98
02/09/99
03/02/99
06/07/99
_____________________________________________________________________
TABLE 3.
Linear regression models developed for a linear NDVI N rate
scale.
Location
|
Minimum NDVI
|
Maximum NDVI
|
Equation*
|
Hennessey
|
0.70
|
0.81
|
y = -916.20x +
740.07
|
Tipton, 1996-97
|
0.18
|
0.48
|
y = -325.59x +
157.34
|
Perkins
|
0.28
|
0.63
|
y = -290.88x +
182.88
|
*
x = NDVI; y = N rate
TABLE
4. Analysis of variance for
NDVI, nitrogen rate, grain yield, nitrogen uptake, and efficiency of use
in wheat at Hennessey, OK, 1996-97.
Source of variation
|
df
|
NDVI
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
ns
|
ns
|
*
|
ns
|
ns
|
Resolution
|
3
|
ns
|
ns
|
ns
|
ns
|
ns
|
Error
|
6
|
0.0001
|
68.33
|
188670
|
145.59
|
788.79
|
|
|
|
|
|
|
|
Resolution, m2
|
|
---------------------------------Means----------------------------------
|
0.84
|
|
0.78
|
32.36
|
2039
|
55.84
|
64.17
|
3.34
|
|
0.77
|
39.06
|
1842
|
64.06
|
47.92
|
13.38
|
|
0.79
|
21.32
|
1948
|
77.60
|
95.50
|
53.51
|
|
0.78
|
29.74
|
2574
|
58.74
|
99.45
|
SED
|
|
0.01
|
6.75
|
355
|
9.85
|
22.93
|
CV, %
|
|
1
|
27
|
21
|
19
|
37
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation
TABLE 5.
Analysis of variance for NDVI, nitrogen rate, grain yield, nitrogen
uptake, and efficiency of use in wheat at Tipton, OK, 1996-97.
Source of variation
|
df
|
NDVI
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
ns
|
ns
|
ns
|
ns
|
ns
|
Resolution
|
3
|
ns
|
ns
|
ns
|
ns
|
ns
|
Error
|
6
|
0.0031
|
395.11
|
52414
|
26.90
|
21.59
|
|
|
|
|
|
|
|
Resolution, m2
|
|
--------------------------------Means---------------------------------
|
0.84
|
|
0.33
|
54.44
|
582
|
17.74
|
10.93
|
3.34
|
|
0.30
|
66.44
|
656
|
13.67
|
9.48
|
13.38
|
|
0.38
|
37.45
|
572
|
16.07
|
19.23
|
53.51
|
|
0.34
|
53.48
|
645
|
19.91
|
12.52
|
SED
|
|
0.05
|
16.23
|
187
|
4.23
|
14.39
|
CV, %
|
|
16
|
38
|
37
|
31
|
36
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation.
TABLE 6.
Analysis of variance for NDVI, nitrogen rate, grain yield, nitrogen
uptake, and efficiency of use in wheat at Perkins, OK, 1997-98.
Source of variation
|
df
|
NDVI
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
*
|
ns
|
*
|
ns
|
*
|
Resolution
|
3
|
ns
|
ns
|
ns
|
ns
|
ns
|
Error
|
6
|
0.0009
|
292.84
|
24114
|
15.51
|
79.46
|
|
|
|
|
|
|
|
Resolution, m2
|
|
-------------------------------Means----------------------------------
|
0.84
|
|
0.45
|
56.95
|
2323
|
51.53
|
44.25
|
3.34
|
|
0.40
|
74.17
|
2329
|
52.30
|
33.47
|
13.38
|
|
0.42
|
69.28
|
2473
|
54.21
|
38.77
|
53.51
|
|
0.42
|
73.93
|
2555
|
60.27
|
37.58
|
SED
|
|
0.02
|
13.97
|
127
|
3.22
|
7.28
|
CV, %
|
|
7
|
25
|
6
|
7
|
23
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation
TABLE 7. Coefficients of
variation, by treatment, for grain yield and efficiency of use in wheat at
Perkins, OK, 1997-98.
Resolution, m2
|
Grain Yield
|
Efficiency of Use
|
|
-------Coefficient
of Variation, %-------
|
0.84
|
7
|
35
|
3.34
|
16
|
37
|
13.38
|
9
|
36
|
53.51
|
10
|
37
|
TABLE 8. Analysis of variance
for NDVI, nitrogen rate, grain yield, nitrogen uptake, and efficiency of
use in wheat at Tipton, OK, 1997-98.
Source of variation
|
df
|
NDVI
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
ns
|
*
|
ns
|
ns
|
ns
|
Resolution
|
3
|
ns
|
ns
|
*
|
ns
|
ns
|
Error
|
6
|
0.00535
|
175.01
|
76678
|
105.90
|
66.05
|
|
|
|
|
|
|
|
Resolution, m2
|
|
-------------------------------Means----------------------------------
|
0.84
|
|
0.57
|
53.78
|
2809
|
49.19
|
56.07
|
3.34
|
|
0.55
|
70.47
|
3196
|
57.26
|
46.96
|
13.38
|
|
0.55
|
75.60
|
3354
|
62.60
|
45.34
|
53.51
|
|
0.56
|
73.93
|
3706
|
74.21
|
54.45
|
SED
|
|
0.06
|
10.80
|
226
|
8.40
|
6.64
|
CV, %
|
|
13
|
19
|
8
|
17
|
16
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation.
TABLE 9.
Coefficients of variation, by treatment, for grain yield and
efficiency of use in wheat at Tipton, OK, 1997-98.
Resolution, m2
|
Coefficient of
Variation (CV), %
|
|
Grain Yield
|
Efficiency of Use
|
0.84
|
15
|
27
|
3.34
|
14
|
16
|
13.38
|
5
|
15
|
53.51
|
8
|
36
|
|
|
|
TABLE 10.
Analysis of variance for INSEY, nitrogen rate, grain yield,
nitrogen uptake, and efficiency of use in wheat at Haskell, OK, 1998-99.
Source of variation
|
df
|
INSEY
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
ns
|
ns
|
*
|
*
|
*
|
Resolution
|
3
|
ns
|
ns
|
ns
|
ns
|
ns
|
Error
|
6
|
2.12E-7
|
5.72
|
43858
|
34.15
|
40.27
|
|
|
|
|
|
|
|
Resolution, m2
|
|
-------------------------------Means----------------------------------
|
0.84
|
|
0.0055
|
29.63
|
1269
|
33.44
|
42.16
|
3.34
|
|
0.0054
|
30.78
|
1397
|
37.38
|
45.49
|
13.38
|
|
0.0058
|
31.70
|
1292
|
35.10
|
40.97
|
53.51
|
|
0.0060
|
33.41
|
1721
|
47.97
|
51.60
|
SED
|
|
0.0004
|
1.95
|
171
|
4.84
|
5.18
|
CV, %
|
|
8
|
8
|
15
|
15
|
14
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation
TABLE 11.
Analysis of variance for INSEY, nitrogen rate, grain yield,
nitrogen uptake, and efficiency of use in wheat at Tipton, OK, 1998-99.
Source of variation
|
df
|
INSEY
|
Nitrogen rate
kg ha-1
|
Grain yield
kg ha-1
|
Nitrogen uptake
kg ha-1
|
Efficiency of use
|
|
|
----------------------------Mean
Squares----------------------------
|
Replication
|
2
|
*
|
*
|
ns
|
*
|
ns
|
Resolution
|
3
|
ns
|
ns
|
ns
|
*
|
ns
|
Error
|
6
|
3.05E-8
|
1.18
|
5060
|
0.84
|
2.51
|
|
|
|
|
|
|
|
Resolution, m2
|
|
-------------------------------Means----------------------------------
|
0.84
|
|
0.0038
|
49.19
|
932
|
18.26
|
18.92
|
3.34
|
|
0.0037
|
48.28
|
950
|
18.90
|
19.63
|
13.38
|
|
0.0037
|
48.82
|
1002
|
20.86
|
20.55
|
53.51
|
|
0.0036
|
48.91
|
1043
|
21.36
|
21.33
|
SED
|
|
0.0001
|
0.89
|
58
|
0.75
|
1.29
|
CV, %
|
|
5
|
2
|
7
|
5
|
8
|
*
Significant at the 0.05 probability level; df = degrees of freedom; ns =
not significant; SED = standard error of the difference between two
equally replicated treatment means; CV = coefficient of variation
FIGURE 1.
Diagram of the physical layout of the experiments showing
treatments (1-4) and resolution within treatment.
|