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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An Empirical Model to Estimate Nutrients Concentration in Controlled Release Fertilizers Aqueous Solutions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Maria Zografou</string-name>
          <email>mazografou@uth.gr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Christos Lykas</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>School of Agricultural Sciences, Department of Agriculture Crop Production and Rural Environment, University of Thessaly</institution>
          ,
          <addr-line>Volos</addr-line>
          ,
          <country country="GR">Greece</country>
        </aff>
      </contrib-group>
      <fpage>150</fpage>
      <lpage>159</lpage>
      <abstract>
        <p>Controlled release fertilizers (CRFs) insure controlled release of nutrients due to their coating. The aim of this study was to investigate the effect of nutrient solution parameters as well as time on the evolution of NO3, NH4, PO4 and K concentrations. For this reason, 0.5 g of Multicote fertilizers 14-14-14 and 15-7-15 dissolved in 100 mL and 300 mL of deionized water respectively. The solutions remained at 24oC and their pH was adjusted once during their preparation at 5.5, 6.0 and 6.5 or adjusted every three days for a 24 days period. A linear empirical mathematical model was developed for the prediction of the above mentioned nutrients concentrations (CX) in relation to the remaining (Vs) and the removed (dVs) volume of the nutrient solution, its pH and time (t) from its preparation. The model output compares favorably with data for the prediction of the concentration of these nutrients.</p>
      </abstract>
      <kwd-group>
        <kwd>soilless culture</kwd>
        <kwd>hydroponics</kwd>
        <kwd>multicote</kwd>
        <kwd>fertigation</kwd>
        <kwd>CRF</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        Controlled release fertilizers (CRF) were introduced in the global market in recent
years, in an attempt on behalf of the fertilizer industries to find ways to cover
different needs either of crops, or of the producers themselves
        <xref ref-type="bibr" rid="ref6">(Shaviv &amp; Mikkelsen,
1993)</xref>
        . The CRFs, according to their specifications, promise controlled release of
nutrients, well synchronized in time with the needs of the crops
        <xref ref-type="bibr" rid="ref8">(Trenkel, 2010)</xref>
        . The
time for the gradual release of nutrients from these fertilizers may range from 20
days to 18 months
        <xref ref-type="bibr" rid="ref7">(Shoji &amp; Gandeza, 1992)</xref>
        . For this reason the use of CRFs in many
crops like maize, wheat, rice etc. reduced significantly the production cost and the
environment pollution. Recently the use of CRFs to high value crops (in particular
ornamental, vegetables and orchards) led to the conduction of experiments in order to
determine the release rate of nutrients in soil and aqueous solutions
        <xref ref-type="bibr" rid="ref5">(Kinoshita,
2012)</xref>
        .
      </p>
      <p>
        In experiments concerning the use of CRFs in free water solutions and water
saturated substrates, it is referred that the type of medium affect the nutrients release
rate
        <xref ref-type="bibr" rid="ref2">(Du et al, 2006)</xref>
        . Besides that, the release of each nutrient element depends on
several parameters such as fertilizers polymer coating, diffusivity, the concentrations
of nutrient elements and the water content of the medium as well as its temperature
        <xref ref-type="bibr" rid="ref1">(Du et al, 2004)</xref>
        . Based on the above parameters, mathematical models have already
been developed to describe the nutrient release rate of CRFs in soil. In addition, some
research works revealed that the type of the fertilizers coating membrane play a key
role for nitrate release in aqueous solutions, followed by other parameters like
temperature
        <xref ref-type="bibr" rid="ref3">(Du et al, 2008)</xref>
        .
      </p>
      <p>This paper examined the effect of some major characteristics of the solution such
as pH, volume and temperature, the type of CRFs and the time from solution
preparation on the alterations of nutrients concentrations. The results were used to
develop an empirical mathematical model for the prediction of the evaluation of NO3,
NH4, PO4 and K concentration in aqueous solutions.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Materials &amp; Methods</title>
      <sec id="sec-2-1">
        <title>2.1 Treatments</title>
        <p>For the purposes of the experiment, two types of Multicote fertilizers 14-14-14 and
15-7-15 (100% coated) were used for the preparation of two groups of aqueous
solutions (six solutions in each group). Each solution in the first group had 100 ml
volume and was prepared with the use of 0.5g of 14-14-14 fertilizer, while in the
second group each solution had 300 ml volume and was prepared with the use of the
same weight of 15-7-15 fertilizer. In two of the solutions from each group, the pH
was initially (t0) adjusted to 5.5, 6.0 and 6.5. In half of the above mentioned solutions
the pH was adjusted once during their preparation (no buffered solutions), while in
the other half solutions the pH was adjusted every three days (buffered solutions), in
the initial value (namely 5.5, 6.0 and 6.5), with the addition of NaOH or HCl. During
the experiment period the solutions were kept at a fixed temperature (24°C). The
concentrations of NO3, NH4, PO4 and K, the volume of the solutions remained after
sampling and the pH were measured every three days for a 24 days period. The
above measurements performed using LAMOTTE Smart 2 colorimeter, volumetric
cylinder and HI991300 Portable pH/EC/TDS meter.</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2 Statistical Analysis</title>
        <p>Data were statistically analyzed by analysis of variance (ANOVA) using Statgraphics
Centurion XVI. Duncan’s multiple range test was used at a significance level of 0.05.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Results and Discussion</title>
      <p>3.1</p>
      <sec id="sec-3-1">
        <title>Evolution of pH in buffered and no buffered solutions</title>
        <p>The pH evolution in no buffered solutions, where the pH was adjusted once at t0 at
5.5, 6.0 and 6.5, is shown in Figure 1. However in these solutions the initial pH value
and the type of CRF used for the preparation of the solution seems to affect
significantly the evolution of pH during the experiment period.</p>
        <p>In the above mentioned solutions with 300 ml volume prepared with the use of
157-15 fertilizer, pH varied slightly from the initial pH. As shown in Figure 1, when pH
was initially adjusted to 5.5 or 6.0 it stabilized after fifteen days from the solution
preparation close to 5.7, while in solution where the pH was adjusted initially to 6.5,
it remained almost stable to the initial pH. In contrast, the pH in solutions with 100
ml volume prepared with the use of 14-14-14 fertilizer, increased significantly during
a period of three days after its preparation. After this period the pH in all solutions
stabilized at a value which was also relative to the initial pH of solutions. In solutions
where pH was initially adjusted to 5.5 it stabilized at 6.0, while in solution where the
pH was adjusted initially to 6.0 or 6.5 it stabilized at 6.5. The highest pH stability
over most of the experiment period of solutions prepared with the use of 15-7-15
fertilizer compared to those prepared with the use of 14-14-14 fertilizer, may be due
both to the type of the fertilizer and the volume of the solution.</p>
        <p>In consequence pH adjustment was more efficient in solutions with volume 300
ml prepared with the use of 15-7-15 fertilizers than in those with volume 100 ml
prepared with the use of 14-14-14 fertilizers, when it was attempted every three days,
as presented in Table 1.</p>
        <p>Fig 1. Evolution of pH in no buffering solutions prepared with 14-14-14 (▬) and 15-7-15 (- -)
fertilizer, where the initial pH was adjusted to 5.5 (■), 6.0 (●) and 6.5 (▲).</p>
      </sec>
      <sec id="sec-3-2">
        <title>Fertilize</title>
      </sec>
      <sec id="sec-3-3">
        <title>Type</title>
        <p>In specific, both pH stability and the efficient pH adjustment observed in solutions
prepared with the use of 15-7-15 is due probably to the lower content in P2O5 this
type of fertilizer has, compared to 14-14-14 fertilizer. It is a notable property of
phosphate fertilizers to develop an alkaline pH in aqueous solutions when they are in
presence. In addition the ability to predict the pH evolution of aqueous solution
prepared with the use of CRFs, is of particular importance when it concerns nutrient
solutions for soilless cultures.</p>
      </sec>
      <sec id="sec-3-4">
        <title>3.2 Evolution of nutrient elements concentration in buffered solutions</title>
        <p>The results of the measurements concerning the alteration of NO3, NH4, PO4 and K
concentration in solutions where the pH was adjusted every three days to the initial
value, reviled a similar evolution of the concentration of these elements, regardless to
the type of CRF used for solutions preparation. However, the concentrations that
reached each one of the nutrients were significantly affected by the pH of the
solution and probably by their volume (Figure 2). As seen in the above mentioned
figure, both concentrations of NO3 and K increased significantly during a period of
nine days from t0 where 14-14-14 fertilizer was used for nutrient solution preparation
(Figure 2 A1 and B1) and three days from t0 where 15-7-15 fertilizer was used for the
same purpose (Figure 2 A2 and B2). The concentration of the above mentioned
nutrients decreased during the next six days and it reached the minimum value twelve
to fifteen days from t0, where 14-14-14 fertilizer was used for nutrient solution
preparation (Figure 2 A1 and B1), and six to nine days after t0, where 15-7-15
fertilizer was used for the same purpose (Figure 2 A2 and B2). A similar alteration
pattern was observed for both nutrient elements during the next period until the end
of the experiment.</p>
        <p>The concentration of NH4 in solutions prepared with different CRF type, altered
following almost the same pattern (Figure 2 C1 and C2). The pH and probably the
volume of the solution seems that also in this case affected the rate and the
concentration increment as well as the higher concentration level that NH4 reached in
these solutions.</p>
        <p>However similar higher concentration levels of NO3, NH4 and K were observed in
the solutions prepared with the different CRFs, probably because of their similar
composition concerning N and K. The decrease of NO3, NH4 and K concentration
shown in Figure 2 may be attributed to the KNO3 and NH4NO3 complexes, formatted
in the solution, when the concentration of NO3, NH4 and K was increased. In that
solutions precipitations were visible.</p>
        <p>In contrast PO4 concentration was continuously increased after solutions
preparation except from the solution with volume 100ml prepared with the use
1414-14 having pH 5.5 where a decrease of PO4 was observed fifteen days after t0
(Figure 2 D1 and D2). This may be occurred to KH2PO4 and NH4H2PO4 complexes
formed in the solution due to the high concentration of K and NH4. In that solutions
precipitations were visible. In addition the above complexes formation may be
favored because of the higher content in PO4 that 14-14-14 fertilizer has.</p>
        <p>According to the above, since pH affect significantly the release, and therefore the
concentration of nutrients in the solutions, may become an alternative to the
temperature in order to control efficiently the nutrients elements concentration in
nutrient solutions used in soilless culture.
3.3</p>
      </sec>
      <sec id="sec-3-5">
        <title>Model development</title>
        <p>
          The above mentioned results reveal that the pH, the volume of the solution, the time
from their preparation and the type of the CRF fertilizer play a significant role on the
evolution of NO3, NH4, PO4 and K concentration. Specifically the pH of the aqueous
solution and undoubtedly their volume seems to affect both the nutrients release rate
and the level of their concentration, regardless to CRF type used for their preparation.
The time is another parameter that also undoubtedly affect the release rate of the
nutrients since in CRFs fertilizers coating membrane plays exactly this role, to
control the nutrients release in a course of time
          <xref ref-type="bibr" rid="ref9">(Wang et al., 2011)</xref>
          .
        </p>
        <p>Taking into account all the above mentioned parameters, an empirical
mathematical equation to estimate the NO3, NH4, PO4 and K concentration in
aqueous solutions prepared with 14-14-14 and 15-7-15 CRF fertilizers was
developed. The form of the equation if the following:</p>
        <p>CX = a + b * Vs + c * dVs + d * pH + e * t
(1)
Where: CX = the concentration of NO3, NH4, PO4, K at time t</p>
        <p>Vs = the sum of the volume removed by sampling
dVs = the volume of the solution removed in each sampling
pH = the pH at time t
t = the time (in days) from the preparation of the solution</p>
        <p>To calibrate the model described with equation (1), measurements performed in
100 and 300ml solutions prepared with the use of 14-14-14 and 15-7-15 CRF, were
used. Statgraphics Centurion XVI software was used in order to estimate the a, b, c, d
and e parameters used in equation (1) and presented in Table 2 and 3.</p>
        <p>Figure 3 shows the 1:1 linear correlation between measured and estimated from
the equation (1) values of the concentration of NO3, NH4, PO4 and K in aqueous
solutions prepared with the use of 14-14-14 and 15-7-15 CRF. The correlation of the
following values is linear, since the equation describing the relation between the
measured and calculated values has the form of y = a * x + b, in which a and b do not
differ statistically from the values 1 and 0 respectively (Gauch et al, 2003).
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusions</title>
      <p>In this work similarities concerning the evolution of NO3, NH4, PO4 and K
concentration were reviled among aqueous solutions with different volumes, which
were prepared by using CRFs with different composition. In all these solutions
parameters such as pH, the volume of the solution, the type of CRF fertilizer used for
their preparation, as well as the time from their preparation affected significantly the
rate of nutrients release and the evolution of nutrients concentration.</p>
      <p>Based on the above mentioned parameters an empirical mathematical model was
developed and calibrated in order to predict the concentration of NO3, NH4, PO4 and
K in aqueous solutions prepared with the use of CRFs. The model output compares
favorably with data for the prediction of the concentration of these nutrients.</p>
      <p>Although most of the researchers refer that temperature is the most important
factor that influence the diffusion and therefore CRFs nutrients release, the above
measurements revealed that pH might affect significantly the release, precipitation
and the final concentration of nutrients in aqueous solutions.</p>
      <p>However additional research is necessary to identify other parameters that may
affect the release of nutrients from the CRFs in aqueous solutions. This information
could be used to improve the mathematical model efficiency. With the perspective of
using CRFs to prepare nutrient solutions, the above mentioned model can be used to
determine the optimal solution management.
Fig 2. Alteration of NO3, NH4, PO4 and K concentration, in solutions prepared with the use of
14-14-14 (▬) and 15-7-15 (- -) fertilizer, where the pH was adjusted in the initial value 5.5
(■), 6.0 (●) and 6.5 (▲).
Acknowledgments. We are thankful το Haifa South East Europe Ltd company for
granting the necessary quantities of Multicote fertilizers to carry out the experiment.</p>
    </sec>
  </body>
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