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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The Informativeness of NDVI in Studying the Patterns of Spatial Variation of Magnesium Content in Soils and Plants</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Natalia V. Gopp</string-name>
          <email>gopp@issa-siberia.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Taisiya V. Nechaeva</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleg A. Savenkov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Natalia V. Smirnova</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Veronika P. Tarkhova</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexander V. Smirnov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Altay State University</institution>
          ,
          <addr-line>Barnaul</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Soil Science and Agrochemistry, Siberian Branch, Russian Academy of Sciences</institution>
          ,
          <addr-line>Novosibirsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Novosibirsk State Agrarian University</institution>
          ,
          <addr-line>Novosibirsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The informativeness of NDVI of oat-pea mixture for predictive mapping of magnesium content in soils and plants has been examined. In regression models, NDVI has explained 51% of variance in the content of exchangeable magnesium in soils and 26% of variance in the content of total magnesium in plants. On the basis of the models obtained and NDVI values calculated from the Landsat 8 image (30 m resolution) prognostic maps of the soil properties and plants have been developed. The article describes comparison of soil parameters on magnesium content calculated for the ploughed layer of arable soils differing in soil organic matter (SOM) content: with high (5-8%) and medium (3-5%) SOM content. In medium-SOM soils (agro-chernozems, agro-dark gray) compared with highSOM agro-chernozems, a lower content of exchangeable magnesium (in 1.5 times) was established, while studied soils did not differ from each other in the content of total magnesium. It was not found correlation between the reserves of above-ground phytomass of oatpea mixture and content of magnesium in plants and soils.</p>
      </abstract>
      <kwd-group>
        <kwd>exchangeable magnesium</kwd>
        <kwd>soil organic matter</kwd>
        <kwd>digital mapping</kwd>
        <kwd>above-ground phytomass reserves</kwd>
        <kwd>oat-pea mixture</kwd>
        <kwd>magnesium in plants</kwd>
        <kwd>Chernozems</kwd>
        <kwd>Phaeozems</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>content in soils and plants. In addition, the spatial heterogeneity of magnesium content in soils with
different SOM content and plants growing on them has not been sufficiently studied. Therefore, it is
necessary to continue research in this direction.</p>
      <p>The aim of this study were to: 1) perform forecast mapping of the content of magnesium in
soils and plants with the use of NDVI calculated from Landsat 8 images (30-m resolution) as an
indicator; 2) carry out a comparative assessment of high- and medium-SOM soils by the magnesium
content in soils and plants growing on them; 3) estimate the correlations between magnesium
content in soils, plants and NDVI values.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Objects and Methods</title>
      <p>Field studies were performed on the Cis-Salair Plain in the south of Western Siberia
(Novosibirsk oblast, Toguchin district, Ust’-Kamenka settlement). The investigated 2-km-long plot (100 ha)
is found within the Irba and Khairuzovka river catchments. The following slope positions are
distinguished within the plot: the first (upper) altitudinal step (280-310 m a.s.l.), the second altitudinal
step (240-280 m a.s.l.) (Fig. 1). At the first altitudinal step (AS1) is distinguished by the
predominant development of high-SOM soils with organic matter content (5-8%); medium-SOM soils
predominate on the second altitudinal step (AS2) with organic matter content (3-5%) (Fig. 1).</p>
      <p>
        Soil samples (n=35) were taken from the plow layer (0-30 cm) following an irregular grid
(Fig. 1). The coordinates of sampling points were determined with a Garmin eTrex Vista GPS.
The total magnesium (Mgtot) content in soil was determined in powdered samples by the atomic
emission analysis; exchangeable magnesium (Mgexch) – by GOST 26487-85 (extraction with 1 M
KCl) with termination on the atomic absorption spectrometer AAnalyst 400 (PerkinElmer Inc.,
USA.). The soil organic carbon (SOC) content was determined by the wet combustion method
according by Tyurin, and then SOC was converted to SOM (Soil Organic Matter) by using a
coefficient of 1.724 which estimates SOC 58% of the SOM total. The particle size distribution in the
samples was determined by the Kachinskii procedure; pH of water suspension (1 : 2.5) with use
potentiometer [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. The total magnesium content in plant samples (Mgpl) with the calculation on air
dried mass was performed by the method of dry ashing with termination on the atomic absorption
spectrometer AAnalyst 400 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].The pool of aboveground phytomass of the oats-pea mixture was
determined by the method of cutting plots (0.25 m2 in size) in places of soil sampling with further
drying and weighing of the cut phytomass. The predictive maps of soil and plant properties were
developed using regression models. The NDVI of the oats-pea mixture was used as a predictor of
the properties of soils and plants. This index was calculated on the basis of Landsat 8 OLI image
(July 14, 2013, 30-m resolution). The assessment of significance of the difference between mean
values was performed using Student’s t-test and the Mann-Whitney U test for Gaussian and
nonGaussian data, respectively.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Results and Discussion</title>
      <p>Established relationships between NDVI and content of magnesium in soils and plants, and
calculated regression equations (Fig. 2) allowed us to create the map of the yield for the entire
investigated field (Fig. 3). NDVI explains 51% of variance of the content exchangeable magnesium in
soils and 26% of variance of the content total magnesium in plants (Fig. 2). The positive correlation
coefficient (r = 0.71) between NDVI and the content of exchangeable magnesium indicates its
higher content in high-SOM soils on which the oat-pea mixture with large values of NDVI had grown
(Fig. 2 A, 3 A, Table 1). The same dependence is noted for the total magnesium content in plants,
where the correlation coefficient (r=0.51) between the studied parameters was positive (Fig. 2 B, 3
B, Table 1).</p>
      <p>Various indices have been applied to assess the quality of the models (Table 2). According
to F-criterion and it’s probability (p), all the models and their determination coefficients are
statistically significant (α = 0.05), as Ffact &gt; Ftable (4.08). The statistical significance for regression
coefficients (b) of all the models is confirmed by the values of t-criterion of regression coefficients above
the critical value of 2.02. The free term of the equation in the model "Total magnesium in plants" is
statistically insignificant, since the value of the student's t-test is less than the critical value, so it’s
was not taken into account when creating the map. The value of the RS criterion falls into the
critical interval (3.83–5.35); hence, the residuals are characterized by a normal distribution. The MAPE
value was in the range from 10 to 20%, which corresponds to a good accuracy of the prediction.
Thus, on the basis of almost all statistical quality indicators, the model under consideration is in
fairly good agreement with the actually measured data. It is incorrect to apply regression models
obtained in this study for neighboring territories, other types of vegetation, and other dates of
satellite images. These models are only valid for the investigated plot.</p>
      <p>Soils with SOM content
Параметры High-SOM soils Medium-SOM soils</p>
      <p>ACHeci (n = 13) ACHeci +ACHtci (n = 7) AGd (n = 15)
SOM, % 7.8 ± 1.2 5.0 ± 1.6* 4.5 ± 1.2*
pH of water suspension 5.85 ± 0.15 5.82 ± 0.11 5.68 ± 0.18
Clay, % 16.6; 15.4; 15.4 17.8; 13.5; 12.8 16.2 ± 3.3
Physical clay, % 50.1 ± 3.3 45.2 ± 2.7* 45.7 ± 3.4*
Mgtot, mg/kg 7935 ± 1555 8897 ± 1173 8514 ± 1750
Mgexch, mg/kg 504 ± 41 354 ± 45* 326 ± 71*
Proportion of Mgexch in Mgtot, % 6.6 ± 1.5 4.1 ± 0.9* 3.9 ± 1.1*
Mgpl, % 0.29 ± 0.1 0.24 ± 0.03 0.22 ± 0.04**
Aboveground phytomass, g/m2 130.5 ± 27.6 155.5 ± 40.3 142.8 ± 30.4
NDVI 0.503 ± 0.02 0.476 ± 0.01** 0.456 ± 0.01*
Above the line, the mean ± standard deviation is given for normally distributed data; for abnormally
distributed data, the mean is given together with the median and mode (in parentheses). Under the line, the range
(min–max) is indicated. * The indices that are statistically significantly (p &lt; 0.01) different from the
corresponding values in the high-SOM agrochernozems. ** The difference is significant at p&lt;0.05. Soil names are
given in the caption to Fig. 1.
n=r,35 r2 F-рcr&lt;i0te.0ri5on, t-ccoreitfefricioiennfto(rbr)e,gрr&lt;e0ss.0io5n tt-ecrrmiteorifрot&lt;nh0ef.o0erq5tuhaetifornee, RS MA%PE,</p>
      <p>Linear model "Exchangeable magnesium in soils», у=2458.7565x - 758.799
0.71 0.51 37.76 6.15 3.99 4.4 15</p>
      <p>Linear model " Total magnesium in plants», у=1.2976x - 0.3687
0.51 0.26 12.38 3.51 1.51 4.2 13
RS-criterion is the test for normal distribution of the residuals, МАРЕ is the mean absolute percentage error,
y is the dependent variable (predicted property of soils and plants), х is the independent variable (NDVI), n is
the number of observations, and р is the probability of error.</p>
      <p>On forecast maps (Fig. 3 A, B) showed the patterns of changes in content of magnesium in
soils and plants down the slope. In medium-SOM soils (agro-chernozems, agro-dark gray)
compared with high-SOM agro-chernozems, a lower content of exchangeable magnesium (in 1.5 times)
was established, while the studied soils did not differ from each other in the content of total
magnesium (Table 1). A greater content of exchangeable magnesium in high-SOM soils is associated with
a higher content of physical clay (increases sorption capacity) and humus acids, which displace
magnesium cations from the soil absorbing complex and increase the chemical weathering of
primary minerals containing magnesium. This conclusion is confirmed by the positive correlation
coefficients of the content of exchangeable magnesium with SOM and physical clay (Table 3).</p>
      <p>
        It should be noted that according to the developed gradations [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], in high-SOM soils the
content of exchangeable magnesium in soils was very high (&gt;485 mg/kg), and in medium-SOM soils –
increased (from 255 to 365 mg/kg). Magnesium content in plants corresponds to the optimal level
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. However, the content of total magnesium in plants growing on high-SOM chernozems was in
1.2 times higher compared to the medium-SOM agro-gray soils (table. 2).
      </p>
      <p>Thus, the application of NDVI as an indirect indicator of properties of the plow horizon of
soils and plants and the models developed on its basis make it possible to save time, labor, and
financial expenses on soil surveys and to improve informativeness of the maps.
pAhbyotvoemgarsosund х х х х х х х х –
Correlation coefficients of moderately strong and strong correlative relationships (p&lt;0.01) are given in bold;
coefficients attesting to moderate correlative relationships (p&lt;0.01) are underlined; х – statistically
insignificant correlative relationships (р&gt;0.05).
3</p>
      <p>Summary
1. In regression models, NDVI explained 51% of variance in the exchangeable magnesium
content and 24% of variance in the content of total magnesium in plants. On the basis of the
obtained regression models, forecast maps of the physical and chemical properties of soils on slopes
have been developed. The assessment of the prediction accuracy shows that it is satisfactory for the
exchangeable magnesium content (error 15%) and for the magnesium content in plants (13%).</p>
      <p>2. The content of exchangeable magnesium in medium-SOM soils (agro-chernozems,
agrodark gray) averaged 340 mg/kg and was in 1.5 times lower compared to high-SOM
agrochernozems. The content of exchangeable magnesium in high- and medium-SOM soils was high
and elevated, respectively. Differences by total magnesium content between soils with different
SOM content were not revealed.</p>
      <p>3. The content of total magnesium in the aboveground phytomass of the oat-pea mixture
corresponds to the optimal level (0.22-0.29%). The content of total magnesium in plants growing on
medium-SOM agro-dark gray soils was in 1.2 times lower than on high-SOM agro-chernozems.</p>
      <p>4. The differences in the reserves of aboveground phytomass of oat-pea mixture on high- and
medium-SOM soils are statistically insignificant. Correlations of aboveground phytomass reserves
with the content of exchangeable magnesium in soils and NDVI values have not been established.</p>
    </sec>
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