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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Estimation of weeds leaf cover using image analysis and its relationship with fresh biomass yield of maize under field conditions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Asif Ali</string-name>
          <email>asif@life.ku.dk</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jens.C. Streibig</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svend Christensen</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Christian Andreasen</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Agriculture and Ecology, Faculty of Life Sciences, University of Copenhagen</institution>
          ,
          <addr-line>Højbakkegaard Allé 13, DK 2630 Taastrup</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
      </contrib-group>
      <fpage>41</fpage>
      <lpage>49</lpage>
      <abstract>
        <p>In order to reduce herbicide application an intelligent sprayer boom is being developed. It only sprays with herbicides if the weed infestation exceeds a certain weed control threshold. The estimation of leaf cover of weeds through image analysis is a prerequisite for the weed management model of the intelligent sprayer boom. Destructive and human perception methods of leaf cover estimation are laborious and practically not feasible to implement in a real time system. An alternative method is developed in the image analysis program “ImageJ”. The relationship between fresh biomass yield of maize and the leaf cover of weeds at the fourth and sixth leaf stages was analysed. Weeds were grown in maize under field conditions in Denmark. Chenopodium album was the most dominant species. Our data showed that yield loss was linearly related to leaf cover of weeds and may be used in the decision algorithm for the intelligent sprayer boom.</p>
      </abstract>
      <kwd-group>
        <kwd>Decision support system</kwd>
        <kwd>weed leaf cover</kwd>
        <kwd>yield loss prediction</kwd>
        <kwd>image analysis</kwd>
        <kwd>site specific weed management</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        Reducing herbicide inputs is a major objective in modern agriculture. The extensive
use of herbicides has raised concerns about environmental safety, conservation of
biodiversity on farmland
        <xref ref-type="bibr" rid="ref14 ref2">(Krebbs et al., 1999; Andreasen and Stryhn, 2008)</xref>
        , and has
increased the occurrence of herbicide resistant weed biotypes
        <xref ref-type="bibr" rid="ref11">(Heap, 1997)</xref>
        . As a
general practice, a significant amount of herbicides is applied preemergence
regardless of the potential weed flora. Weeds often grow in patches and there exists a
significant ratio of patches where weeds occur at very low densities. With a precise
site-specific application of herbicides, their excessive usage can be avoided
        <xref ref-type="bibr" rid="ref5">(Christensen et al., 2009)</xref>
        .
      </p>
      <p>
        Defining the threshold for weed control is fundamental to a weed management
strategy. An economic threshold for weeds may be defined as the weed population at
which the cost of control is equal to the value of crop yield attributable to that control
        <xref ref-type="bibr" rid="ref7">(Cousens, 1987)</xref>
        . There are great savings by choosing thresholds and only spray
those parts of the field where weeds appear (Hagger et al., 1983).
      </p>
      <p>
        The effect of weed infestation on crop yield can be determined by weed density, but
Spitters and Aerts (1983) suggested that the relationship between relative area of
crop and weeds and the yield loss can give better prediction than a relationship based
on weed density
        <xref ref-type="bibr" rid="ref15">(Kropff and Spitters, 1991)</xref>
        . Other studies also demonstrate how leaf
area estimations can be used to predict yield loss
        <xref ref-type="bibr" rid="ref15">(Kropff and Spitters, 1991)</xref>
        .There
are various methods to estimate weed intensity for example visual inspection
(
        <xref ref-type="bibr" rid="ref3">BraunBlanquet, 1927</xref>
        ), stand counts
        <xref ref-type="bibr" rid="ref8">(Greig-Smith, 1984)</xref>
        and frequency analysis
        <xref ref-type="bibr" rid="ref1">(Raunkiaer, 1934; Andreasen et al., 1996)</xref>
        . The image based and spectroscopic based
crop-weed detections are advanced techniques used for site-specific weed
management
        <xref ref-type="bibr" rid="ref13">(Karan Singh et al., 2011)</xref>
        . The estimation of weed intensity through
image analysis is one of the new methods
        <xref ref-type="bibr" rid="ref4">(Chen et al., 2002)</xref>
        . In this method, green
pixels of weeds are separated from ground pixels and counted. The counting of green
pixels gives an estimation of leaf cover of weeds.
      </p>
      <p>At the moment a research project focuses on developing an “Intelligent sprayer
boom”. The concept of the "Intelligent sprayer boom” is to apply treatment
nonuniformly. The sprayer boom will be equipped with cameras to take images from unit
cells and apply treatment accordingly in “real time”. The decision algorithm for
spraying in maize is based on estimation of the number of green pixels of weeds per
area between the crop rows. The cameras detect the weeds, the software detects the
weed pixels and the sprayer applies the herbicides if the weed control threshold is
exceeded. The potential to save herbicides especially at the second spraying time in
the season is perhaps 90%. In 2010, an experiment in a maize field was done under
Danish cropping conditions to find leaf cover of weeds by using image analysis and
the relationship between weed leaf cover and fresh biomass of maize yield was
developed in order to estimate the weed control threshold. , given the complexity of the
management systems involved in Integrated Crop Protection,
2</p>
    </sec>
    <sec id="sec-2">
      <title>Material &amp; Methods</title>
      <sec id="sec-2-1">
        <title>2.1 Experimental layout</title>
        <p>The maize field experiment was carried out from May to September 2010 and
conducted at the research farm in Taastrup, Denmark (55°40'10 N; 12°18'32 E).
There were many different weeds species in the field but the most dominant species
was Chenopodium album L. We selected 16 adjacent pairs of plots of size 3 x 3 m2
from patches of different weed densities. One part of the pair of plots was sprayed
and the other was kept unsprayed. The crop rows were 75 cm apart corresponding to
six maize rows in a plot. There was sufficient space between the crop rows to take
pictures and estimating weed cover. Both weeds and maize plants were at 4-6 leaves
stages or larger. Six pictures from the unsprayed part of a plot were taken in the first
week of July 2010 with a digital camera (Cannon EOS 400D).</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2 Estimation of weed leaf cover</title>
        <p>The leaf cover of weeds was estimated by counting the number of green pixels. Each
image was taken at a height of 65 cm, covering an area of 24 x 36 cm2. The crop was
harvested and the fresh biomass from each line was measured in kilogram at the
second week of September 2011. The infestation of weeds was average of the six
pictures for each plot. The fresh maize biomass was correlated with leaf cover of
weeds through regression analysis. The effect of various percentages of weed cover
on the yield was estimated.
2.3 Statistical data analysis
The relationship between per cent leaf cover of weeds and fresh biomass was
analysed in R (version 12.2.2), a free software environment for statistical computing
and graphics. The data consisted of per cent leaf cover of mixed weed species and
fresh biomass per meter crop line. The fresh biomass yield in kg was correlated with
leaf cover of weeds through regression analysis. The effect of various percentages of
weed intensity on the yield was estimated.</p>
      </sec>
      <sec id="sec-2-3">
        <title>2.4 Analysis of the images</title>
        <p>
          All pictures were processed with a public domain java based image processing
software “ImageJ”. We have made necessary changes in a macro written by
          <xref ref-type="bibr" rid="ref20">Landini
(2009)</xref>
          in “ImageJ” by including various operations and plugins for subtracting
background and counting weed green pixels. The image was split into hue, saturation
and brightness by using “HSB Stack” splitter. Green leaf cover and background were
segmented. When we adjust the hue values in colour threshold, all background pixels
disappear. The brightness image represents the background in the image and we
removed shadows by adjusting brightness thresholds. The results of hue saturation
and brightness images obtained in segmentation step were combined by image
calculator “AND create” operation.
        </p>
        <p>There were some unwanted background pixels left after colour thresholding for
which we used median filter. The filtering process reduced noise and improved the
segmentation result of the image in binary format. This operation worked on pixel by
pixel for selected regions and removed noise preserving boundaries. The rest of the
noise pixels which were left due to debris and soil loams were further removed by
the “analysing particle” plugin. The binary format of the processed image contained
only the vegetation pixels of the weeds. These pixels were counted to estimate
percentage leaf cover from each plot.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3 Results &amp; Discussion</title>
      <p>The mask obtained from image processing indicated that weeds were separated
clearly from the background and the shadow was also removed (Figs. 1 &amp; 2). C.
album covered most of the area. At harvest time, it was the most dominant weed
species.
IMG_1530.jpg
Mask of IMG_1530.jpg</p>
      <sec id="sec-3-1">
        <title>3.1 Linear regression of crop yield on percentage weed leaf cover</title>
        <p>The regression analysis showed that there exist a significant slope, m, (-0.04 ±
0.003), of the linear relationship (p&lt;0.001) (Fig. 3) and the intercept was 5.02 ± 0.11.
The negative slope of the line represents unit decrease in yield with unit increase in
percent leaf cover. The intercept of the regression line indicates maximum yield at
zero percentage of weed leaf cover. There is no significant difference in the observed
weed free yield (4.95 kg per meter crop row) and the estimated yield (5.01 per meter
crop row) at zero percentage of leaf cover. Mathematically the linear relation
between crop yield and weed leaf cover is given by following equation.
y = mx+c</p>
        <p>(1)
where y is the crop yield, m is the slope of the regression line, x is the weed leaf
cover and c is maximum yield at zero weed leaf cover. Equation (1) can be used to
calculate the yield for any percentage of leaf cover. For x= 10 % leaf cover the yield
is 4.61 Kgs. The threshold value corresponding to other percentages can be
determined from the equation (1).</p>
        <p>Fig 3: The relationship between percentage of weed coverage (pixels) and yield
(fresh biomass in kg per meter maize row). The slope of the regression line is - 0.04
and the intercept is 5.01 (p&lt;0.001).</p>
        <p>
          The common weed species were Atriplex patula L., Cirsium arvense (L.) Scop.,
Fallopia convolvulus (L.) Å. Löve, Lamium amplexicaule L., Poa annua L.,
Taraxacum sp. and many other species. The most dominant species was C. album. It
attained heights of 100-120 cm at harvest time. The other species were either at low
ratio or suppressed by C. album or the crop late in the growing season.
The relationship between weed density and yield loss has been described by
hyperbolic or sigmoidal models. Many researchers have found that the relationship is
well described by a sigmoidal curve (Zimdal, 1980; Spitters and Aerts 1983).
          <xref ref-type="bibr" rid="ref6">Cousens (1985)</xref>
          suggested the hyperbolic relationship. The sigmoidal and hyperbolic
models have non negative asymptotic yield for high densities. There is no consensus
in literature whether the relation is sigmoidal or hyperbolic. We have found a linear
relationship between weed leaf cover and crop yield in our experiment. The linear
curve is embodied by sigmoidal curve as a special case. In the linear relationship the
lower weed densities can give better relation between leaf cover and yield but the
larger densities may predict negative yield which is biologically meaningless.
The share in leaf area at canopy closure time can determine competitive strength of
species, when interplant competition starts (Spitters and Aerts, 1983).
          <xref ref-type="bibr" rid="ref15">Kropff and
Spitters (1991)</xref>
          derived a mathematical model in which the leaf area of a weed
species was taken as fraction of total leaf area index of all species. The leaf area
estimation taken at early growth stages can give information about the competition
ability. The faster crops grow early in the season, the better competition ability do
they have. The same is the case for weed species. We have observed in field trials
that leaf areas of C. album was considerable larger than the less competitive species
(Fig. 2). In practice, weeds of the same species differ in size partly because weeds
emerge in flushes and germinate from different depth and partly because of genetic
variation.
        </p>
        <p>
          The linear relationship in leaf cover and yield can be different for different crops and
different weed species. There are many factors which influence the effect of weeds
on crop yield. One of these factors is the relative time of emergence
          <xref ref-type="bibr" rid="ref15">(Kropff and
Spitters, 1991)</xref>
          . Weeds that emerge earlier, relative to the crop, cause greater yield
loss by reducing the availability of resources such as light, water and nutrients
          <xref ref-type="bibr" rid="ref16 ref18 ref9">(Hall
et. al., 1992; Kropff and Van Laar, 1993)</xref>
          . Other factors which influence the
competition ability are field fertility, soil type, presence and type of tillage, year to
year variations in weather and abiotic conditions.
          <xref ref-type="bibr" rid="ref12">Jensen (1991)</xref>
          investigated the size
of a number of weeds and observed that weed competition ability varies with soil
type, climate and farming system. It was concluded by
          <xref ref-type="bibr" rid="ref16 ref18">Kropff (1993)</xref>
          that for
practical purposes, simple relationships are needed to predict yield loss. For a
successful weed management model, the site specific information on weed
distribution, weed species composition and coverage and effect on crop yield should
be integrated
          <xref ref-type="bibr" rid="ref5">(Christensen et al., 2009)</xref>
          .
3.3
        </p>
      </sec>
      <sec id="sec-3-2">
        <title>Weed control threshold</title>
        <p>From the regression analysis we can estimate crop yield relative to all percentage of
weed leaf cover. This estimation can be used to suggest an economic threshold. The
economic threshold depends upon many factors associated with competitiveness of
the species and priorities of the farmer. The farmer is given the option to select his
priorities regarding contamination and market price of the crop. The spraying costs
and crop yield must also be considered.
The selection of threshold changes from crop to crop depends upon many factors like
harvesting costs, grain yield, contamination, spray dose, seed bank. In a field, there
are certain areas where weed densities are low and weed control is not economically
appropriate. In some areas there is a tradeoff between yield loss and spray effects; for
instance in order to avoid spray effects yield loss may be tolerated; If a farmer wants
maximum yield, then he may choose the lowest level of weed coverage as a
threshold; Farmers may accept some weeds to support the biodiversity and farmland
wild life. The selection of threshold is based on weed management strategy and it is
up to the farmer to define the level where weeds can not be tolerated. In the case of
the “intelligent sprayer” the selection of a minimum threshold should be kept flexible
so that farmer can make his own choice and implement weed control strategy on
yearly basis. He may consider the recommendations of experts and market
requirements.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.4 Yield loss prediction based on leaf cover</title>
        <p>In field conditions same number of leaf cover can give different yield loss because of
various influential factors. Therefore yield loss estimate cannot be given a fixed
number. However, a certain range or percentage can be found which covers the effect
of other factors. Yield loss prediction based on leaf cover is novel and an ongoing
research area. Various models have been developed to relate relative leaf area of
weeds and crops at early growth stages with the yield loss. Leaf area estimations
should be done at the early growth stages for example when weeds have about two
permanent leaves which is the stage when herbicides should be applied if necessary.
The economic weed control threshold determined from these models can be
integrated with the weed management model used for the intelligent sprayer boom.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.5 Side effects of non-uniform spraying</title>
        <p>Often late emerging weeds do not strongly influence the yield loss. Some weed
species in winter wheat, growing under favorable conditions, have no effect on crop
yield (Lotz et al., 1990). But if these weeds are left uncontrolled, then they may
increase the seed bank in the soil and become a problem in the future. In such
situations it makes sense to reduce the weed seed production. In the “intelligent
spraying boom” project, it is the intention to apply herbicides when a certain weed
coverage, expressed in number of pixels, is exceeded. In that case we can ignore the
effect of an increase in the soil seed bank, because the area which is left unsprayed
and where weed seed are produced may be treated in the following year. In crops
grown in rows the other solution of this problem is to spray the whole field in the
beginning. This may be necessary in maize fields where the crop is a weak
competitor against weeds but later in the season at the second spraying time, we only
spray the weed infested spots.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>Estimation of leaf cover through image analysis is a feasible way to estimate weed
pressure and it is easy to implement in real time intelligent patch spraying. The yield
loss in maize field was linearly correlated with leaf cover of weeds in the early stage
of development (4 to 6 permanent leaf stage) where C. album was a dominant weed.
Weed control threshold can be selected based on the linear correlation. The
procedure can be extended to find the effect of very low weed densities on yield.</p>
      <p>threshold
(ImageJ).
Lotz L.A.P, Kropff M.J. and Greonevled, R.M.W.(1990) Modeling weed competition
and yield losses to study the effect of omission of herbicides in winter wheat.
Netherlands Journal of Agriculture Science, 38 (4), p. 711-718.</p>
      <p>Raunkiaer, C.(1934) The life forms of plants and statistical plant geography.
Oxford:Clarendon.</p>
      <p>Spitters, C.J.T. and Aerts, R.(1983) Simulation of competition for light and water in
crop weed associations. Aspects of Applied Biology, 4, p. 467-484.</p>
      <p>Zimdahl, R.L. (1980) Weed-crop competition: a review. International Plant
Protection Center, Oregon State University.</p>
    </sec>
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