Introduction
Output Screens Input Screens
Economic Calculations Groundwater Hazard Calculations References
Pesticide
Economic and Environmental Tradeoffs
PEET
by
D.L. Nofziger, A.G.
Hornsby, and Dana Hoag
Introduction:
Controlling pests is
an ongoing challenge for farmers. Farm
managers must identify and assess the importance of the pest for their
operation. If they decide some
treatment is needed, they often have several treatment options. This tool is designed to help them evaluate
the need for a treatment and select the pesticide treatment. It is an expansion
of the work published by Hoag and Hornsby (1992) and
Hoag et al., (1994).

Farmers have several
objectives when managing pests. One
objective is to minimize the economic loss due to the pest. A second is to protect the environment. Conflicts sometimes exist between these
objectives. Sometimes both can be met without compromise.
We developed the
Pesticide Economic and Environmental Tradeoffs (PEET) decision-support system
to provide information that can help the farmer make these decisions. PEET
evaluates the economic benefits of different herbicide treatments for weed
control using a weed competition model with user specified weed densities. A chemical transport model is used to
estimate leaching of each active ingredient for the field and management system
of interest. From that, we determine a
groundwater hazard index for each treatment.
This groundwater
hazard index incorporates the amount of pesticide leached and its
toxicity. Results of the economic and
groundwater hazard calculations are presented to the user for each potential
treatment. The PEET user can use this information
to select the pest management strategy of choice.
Economic loss due to
weeds for each treatment is determined by estimating the loss in income due to
weeds when that treatment is applied plus the cost of the treatment
itself. Losses for each treatment can
be compared to losses estimated when no treatment is used. This shows the user the economic benefits of
each treatment. Alternatively the user can view the economic gain associated
with a particular weed control practice. (Detailed equations and
simplifications used in this calculation are given later in the Calculation of Economic Loss section of this
document.)
The hazard posed to
groundwater by each treatment is defined as the ratio of the concentration of
the active ingredient in groundwater to a critical concentration of the active
ingredient established for protecting consumers of the groundwater. That is
![]()
where GWH is the
groundwater hazard, CActive Ingredient is the concentration of the
active ingredient in the groundwater, and CCritical is the
concentration of the active ingredient that is considered to have negligible
risk of harming human beings when consumed for an entire lifetime. (A
description of the model used for this calculation and the simplifications
incorporated into it are given later in the Calculation of
Groundwater Hazard section of this document.)
A groundwater hazard
index of 1 (or 100%) means that the calculated concentration of active
ingredient in groundwater following a single application of the treatment is
equal to the critical concentration for that chemical. Values less than 1 imply that the
concentration of the chemical is less than the critical concentration. Hazard values greater than 1 correspond to
concentrations greater than the critical concentration. Lower groundwater hazard values imply lower
risk of degrading groundwater quality.
Results of the PEET
model are available in three forms on the Bar Graphs, Economics/Hazard, and Tables
tabs. These are illustrated below for cotton production in Caddo County,
Oklahoma.

The figure above
presents partial results of a simulation and economic analysis in the form of
bar graphs. The list at the center of the figure contains different herbicide
treatments and application rates.
Additional bars and treatment descriptions for Post-Emergence and
Post-Directed treatments can be found by scrolling the actual screen. The bar
graph on the left shows the estimated economic gain corresponding to each
treatment for the weed species and densities specified by the PEET user
assuming a weed-free yield of 800 lb/acre.
The length of the bar represents the magnitude of the economic gain for
that treatment. The chart on the right shows the groundwater hazard index (on a
logarithmic scale) for each treatment.
Again the length of the bar represents the groundwater hazard value
calculated for this treatment. These values were estimated assuming the field
was irrigated at 2 inches per week for the growing season. The PEET user can use this information to
try to select a treatment with a high economic gain and a low hazard. In some cases this is not possible so
tradeoffs must be made.
The figure below is
an alternative form of the bar graph for the case in which the user has chosen
to view the economic loss due to weeds for each treatment instead of the
economic gain associated with the treatments. Here bars are also shown for the
case in which no treatment is made. The user can observe the impact of
different expected weed-free yields by selecting the yield of interest at the
top of the screen.

Economic Gain
– Groundwater Hazard Graph:
The figure below illustrates another way to view the results. Here the economic
gain and groundwater hazard are plotted on the two axes of the graph. The
triangles represent different treatments.
The treatment associated with each triangle can be viewed by selecting the
triangle of interest with the mouse. In this example, the user has selected the
triangle in the upper left corner and the system has displayed that treatment
in the box under the graph. The preferred treatment option is one that
maximizes economic gain and minimizes the hazard. Therefore treatments near the
upper left corner of the graph are preferred.
This illustration shows results for Pre-Plant Incorporated treatments
and an expected yield of 800 lb/acre. Results for other types of application
and yields can be shown by selecting other application types and yields on this
screen.

Tabular Output: The output of the decision-support system is also available in the
tabular form as shown below. Here the treatment type and name are displayed
along with the estimated groundwater hazard, economic loss, economic gain, and
herbicide cost. This table can be displayed for any of the weed-free yields
displayed at the top of the table. The table can also be sorted on any column
of the numerical data to view the results in a different sequence. This allows
the user to view the treatment options arranged in increasing or decreasing
order of economic gain, herbicide cost, or groundwater hazard. Note:
Although the gain and loss are displayed to the nearest $0.01 per acre, the
model and the parameters used in
estimating these values are not that accurate.

Some lines in the
table shown above include flags. This indicates that special instructions or
warnings exist for these treatments. By selecting a particular treatment with
the mouse, a screen of the type shown below opens and provides additional
information for that treatment. This information can also be obtained for all
treatments by selecting the “Details/Warnings” tab on the screen. In addition
to warnings about the use of the herbicide and a note that other trade names
are available for certain active ingredients, this screen displays the weed
densities and competitive load before and after treatment. This information can
be used to evaluate the need for subsequent treatments.

Calculating the
economic loss due to weeds following a specific treatment involves the
following steps:
That is

where ELoss
is the economic loss due to weeds after the treatment is applied, YLoss
is the Yield loss due to weeds, V is the expected market value of the crop, CAppl
is the cost of application of the herbicide, CScout is the cost of
scouting, m is the number of products included in the treatment, CHerb
and RHerb are the cost and application rate of each herbicide used
in the treatment.
The product of the
yield loss and the expected market value of the crop represents the loss in
income due to reduced crop yield. The
cost of the treatment is the sum of the cost of the herbicides used, the cost
of application, and the scouting cost.
The total loss is the sum of the loss due to yield and total treatment
cost. Since the total loss depends upon the expected yield and that yield is
not known in advance, PEET enables the user to enter low, normal and high
yields so the economics can be displayed for each of these cases. The user can
incorporate results from all of these yields into the treatment decision.
The economic gain is defined as the reduction in economic loss resulting from a particular treatment. That is,
![]()
where the economic
loss without treatment, ELoss without treatment is simply the
product of the yield loss due to weeds for the observed weed density and the
expected market value of the crop.
The loss in yield
due to the weeds must be calculated. Coble and Mortensen
(1992) published a model that has been used extensively for this. A basic
concept involved is the total competitive load due to weeds. This is a method
of calculating the total impact of a mixture of weeds by multiplying the
density of each weed species by a weighting factor called the competitive
index. The competitive index reflects the relative impact of a single weed of
that weed species upon yield loss. The total competitive load D, is given by

where cj
represents the competitive index of weed j, dj represents the
density of weed j, and n represents the number of different weed species in the
field. The following table illustrates this calculation for weeds.
|
Index j |
Weed Name |
Competitive
Index, cj |
Weed Density, dj |
Competitive
Load, cjdj |
|
1 |
Cocklebur |
10.0 |
5 |
50 |
|
2 |
Crownbeard |
3.0 |
4 |
12 |
|
3 |
Pigweed |
2.8 |
5 |
14 |
|
4 |
Crabgrass |
0.7 |
30 |
21 |
Total Competitive Load, D = 50 + 12 + 14 + 21 = 97 |
||||
The total
competitive load is used to compute the yield loss, YLoss, using
the equation

where Y0
is the expected weed-free yield, D is the total competitive load, I is the
slope of the relative yield loss curve for competitive loads less than the
threshold value D0, and A is the maximum relative yield loss at very
high values of competitive load. This equation is illustrated below for values
of I = 0.01, A = 0.80, and D0 = 50.

By using the
competitive load for no treatment in this equation, we can estimate the yield
loss when no treatment is applied.
Before the yield
loss can be estimated for each possible treatment, we need to estimate the weed
density following that treatment. Weed scientists generally evaluate the
efficacy of each herbicide on different weeds. The efficacy or fraction of a
particular weed controlled by the treatment is used to obtain a reduced weed
density for a potential treatment. New values of the competitive load and the
corresponding yield loss are then calculated for each treatment. The total
competitive load associated with a treatment is given by

where ej
represents the efficacy of the treatment for weed j. Other terms in the
equation were defined previously.
Data Requirements: Examining the equations above enables us to
understand the data required for the economic analysis. Some of those data are
provided by the PEET user and some by the weed scientist responsible for
implementing PEET for a particular crop and location. The weed scientist will
need to provide the name and competitive index of each weed species, a list of
potential herbicide treatments, the efficacy of each treatment for each weed,
and the parameters used in the yield loss equation. The PEET user must then
provide expected low, normal and high yields for the field of interest, names
and densities of weeds present in the field, and prices of herbicides, and
expected market price of the crop.
Data provided by the
weed scientist will change frequently as herbicides are introduced or removed
and as changes in labels are made. For this reason, PEET is designed to
automatically update the software and data each time the scientist changes it
on the web server. That means the PEET user will always have access to the
latest data. Of course that update feature can only function when the user is
connected to the internet. Although PEET can operate without being connected to
the internet, we recommend that it be run while connected from time to time so
that the data used in the program are kept current.
Calculation
of Groundwater Hazard:
To determine the
groundwater hazard, we must calculate the concentration of each active
ingredient in the groundwater. In general,
the amount of chemical leached depends upon soil properties, chemical
properties, management practices such as irrigation and tillage, weather,
amounts of infiltration, runoff, and uptake of water by plants, the amount of
chemical applied, the date of application, and the depth of application. It is convenient to divide the movement of
pesticides to groundwater into three parts. First, the pesticide must be
transported from or near the soil surface through the root zone of the soil.
Next it must be transported through the underlying vadose zone to the
groundwater. Finally it is mixed in the aquifer. The amount of information
available for the root zone is greater than for the other two regions so the
model used for that component can be more detailed. Various models exist for estimating the concentration of
pesticide in the groundwater. Scientists developing PEET for their location can
use the model of their choice.
In developing PEET
for Oklahoma, we used the CMLS model of Nofziger and
Hornsby (1986, 1988) and Nofziger et al (1994) for the root zone and
shallow soil. CMLS incorporates biological degradation, sorption on soil solids
and the resulting retardation of movement, and mass flow with the soil
solution. A simple water balance model is used to estimate water movement.
Movement and degradation are calculated daily. We assumed that no degradation
of the chemical occurs in the vadose zone. The concentration in the groundwater
is estimated by dividing the amount leached beyond the surface soil (usually
taken as a depth of 1 meter) by the amount of water present in a saturated soil
of specified porosity and specified mixing depth.
Since PEET will be
used as a decision-aid, we are interested in predicting the future
concentration of each active ingredient in the groundwater. However, leaching losses are highly
dependent upon weather (Haan et al., 1994) and we do not
know the future weather at a site.
Therefore we have uncertainty in the prediction. We believe this
uncertainty should be incorporated into the groundwater hazard estimate. To do
so, we evaluated the groundwater hazard for many weather sequences each equally
likely at each site. We did this by
generating hundreds of weather sequences for each site and simulating movement
for each weather pattern. The
collection of results for a particular treatment, soil, and management system
were sorted and saved as a probability distribution. Groundwater hazard values
displayed by PEET correspond to a probability level chosen by the user.
The figure below
shows the probability of exceeding different concentrations of bentazon sodium
salt and acifluorfen sodium salt in the Cobb fine sandy loam soil. Note that weather differences produce
concentrations ranging from nearly 100 mg L-1 to less than 0.001 mg L-1. For the application rates
used in this example, bentazon has a much higher probability of exceeding a
specific concentration than does acifluorfen.
The U. S. EPA lifetime health advisory levels (HAL) for acifluorfen and
bentazon are 1 and 20 :g L-1, respectively, as shown.
From the graph we see that the probability of acifluorifen exceeding its HAL is
about 0.05 and the probability of bentazon exceeding its HAL is about 0.12.

The following figure
shows the probability of exceeding different groundwater hazard values for the
same two chemicals. The dotted line
represents a probability of 0.10. The
groundwater hazard associated with these two treatments is about 30% for
acifluorfen and 100% for bentazon.
Acifluorfen appears to pose a lower risk to groundwater quality than
bentazon for this soil and these specific conditions.

Some herbicide
treatments involve more than one active ingredient. In those cases, the
groundwater hazard is calculated for each active ingredient. The value
displayed for those treatments is then the sum of the groundwater hazards for
the different active ingredients.
Data Requirements: Calculation of the groundwater hazard
requires a list of soil names and the soil properties required in the model.
For CMLS, these data include the depth, bulk density, organic carbon content,
and water content at saturation, field capacity, and permanent wilting points
for each soil layer. The calculation also requires the organic carbon partition
coefficient, degradation rate, and critical concentration for each active
ingredient along with the approximate date at which it will be applied. Hornsby et al. (1996) is a useful source for
chemical properties. Daily infiltration and evapotranspiration amounts are also
needed. These can be estimated from weather data in CMLS. If irrigation is
used, the timing and amount of water applied in this way is also required.
PEET users specify
the needed input parameters in a series of 5 screens labeled with Field/Treatments, Weeds, Economics, Prices, and Options tabs. These are illustrated and discussed below.
Field/Treatments: This screen, illustrated below, allows the
user to enter a field name and area which are used for identification purposes.
Selections of county, soil, irrigation, and tillage are needed for calculating
the groundwater hazard. Soil texture and organic carbon content also influences
the efficacy of some treatments. In
this example the treatment type chosen was pre-plant incorporated. The results
displayed by PEET correspond to the selected type of application and all other
types that fall chronologically after the selected type. In this case, the
results will be displayed for pre-plant incorporated, pre-emergence,
post-emergence, and post-directed spray since the latter 3 are treatment
options at the time pre-plant is an option. If post-emergence or post-directed
spray are selected, the lower box also requires inputs of the approximate weed
size and application date.

Weeds:
This screen is used to enter the density of the weed species present in the
field. Since these values are not present for pre-emergence treatments, the
user can specify High, Medium, or Low in this column. These values are
converted to numeric values using estimates defined in the database by the weed
scientist.

Economics:
This screen is used to enter expected yields, expected market price,
application costs and scouting costs.



Coble, Harold D. and David A. Mortensen. 1992.
The threshold concept and its application to weed science. Weed Technology 6:191-195.
Haan, C.T., D.L. Nofziger, and F.K. Ahmed. 1994. Characterizing chemical transport variability due to natural weather sequences. J. Environ. Qual. 23:349-354.
Hoag,
D. and A. G. Hornsby.
1992. Coupling groundwater contamination with economic returns when
applying farm chemicals. J. Environ.
Qual. 21:579-586.
Hornsby, A. G., R.D. Wauchope, and A.E. Herner. 1996. Pesticide Properties in
the Environment. Springer. New York. 227 p.
Nofziger, D.L. and
A.G. Hornsby. 1986. A microcomputer-based management tool for chemical movement
in soils. Appl. Agr. Res. 1:50-56.
Nofziger, D.L. and
A.G. Hornsby. 1988. Chemical movement in layered soils: user's
manual. Computer Software Series CSS‑30, Agricultural Experiment Station,
Oklahoma State University, Stillwater, OK, and University of Florida. IFAS.
Cir. 780, 44 pp.
Nofziger, D.L. J.S.
Chen, F. Ma, and A.G. Hornsby.
1994. CMLS94B Chemical movement
in layered soils model for batch processing. Computer Software Series, Oklahoma
Agricultural Experiment Station, Oklahoma State University, Stillwater, OK, 76
pp.
D.
L. Nofziger, Professor,
Department of Plant and Soil Sciences, Oklahoma State University, Stillwater,
OK 74078
A.G.
Hornsby, Professor,
Department of Soil and Water Science, University of Florida, Gainesville, FL
93502
Dana
Hoag, Professor, Department
of Agricultural and Resource Economics, Colorado State University, Fort
Collins, CO 80523
Acknowledgements: The United States Department of Agriculture
and the Agricultural Experiment Stations of Oklahoma, Florida, and North
Carolina provided funding for this project. The authors want to express
appreciation to Dr. Harold Coble, North Carolina State University for assisting
with the weed competition component of the program.
Contact: D.L. Nofziger at david.nofziger@okstate.edu for more
information about this software and its use for other crops and geographic
areas.

Last
Modified: January 16, 2008.