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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Analysis of the Accuracy of Determining the Vegetation Edges according to the Landsat Remote Sensing Data over the Territory of the Sverdlovsk Region</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nina Vinogradova</string-name>
          <email>n.s.vinogradova@urfu.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrey Sosnovsky</string-name>
          <email>sav83@e1.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Stepan Yegorov</string-name>
          <email>mr.stepone@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Radio Electronics and, Information Technology, Ural Federal University</institution>
          ,
          <addr-line>Ekaterinburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <fpage>78</fpage>
      <lpage>80</lpage>
      <abstract>
        <p>-The work is devoted to the study of the most commonly used vegetation indices in relation to the territory of the Sverdlovsk region according to Landsat-7 images. For the image fragments, vegetation maps were constructed using various indices. The accuracy was evaluated of the vegetation map according to digital topographic maps based on the criteria of false alarm errors and missing errors, as well as the total number. The indices having the smallest errors are found. Recommendations on the use of indices of vegetative regions covered by coniferous and mixed forests are given.</p>
      </abstract>
      <kwd-group>
        <kwd>remote sensing data</kwd>
        <kwd>vegetation indices</kwd>
        <kwd>Landsat7</kwd>
        <kwd>accuracy estimation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>I. INTRODUCTION</title>
      <p>
        Monitoring agricultural and forest land is one of the most
important spheres for using Earth remote sensing data.
Assessment of vegetation cover is usually carried out using
vegetation indices, which can be used for regional mapping
and analysis of various types of landscapes, studying the
dynamics of plant communities. The results of the
calculation of vegetation indices are maps of forest and
agricultural land productivity, maps of landscape types,
vegetation and natural zones, and it is also possible to use
them to obtain numerical data for use in estimating and
forecasting yields and productivity, biological diversity, and
damage from various natural and man-made disasters,
accidents, etc. One of the most popular satellites used to
solve the indicated problems is the Landsat spacecraft system
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Despite the fact that there is a huge springboard for
research in this sphere, most of them relate to the territories
of the satellite owner, that is, accordingly, in the United
States, numerous vegetation indices adapted in the first
category for subtropical and tropical climatic zones.
      </p>
      <p>
        The territory of the Russian Federation is located mainly
in the subarctic and temperate climatic zones, naturally, the
problem arises of analyzing vegetation indices as applied to
the designated territory. The features of the territory of the
Sverdlovsk region, which must be taken into account when
monitoring plant cover, are: a relatively short growing season
(up to 130 days per year) with an average duration of snow
cover of 170 days per year with the accumulation of large
masses of snow; continental climate; the location is mainly in
the taiga zone (83% of the territory is covered by forest
vegetation, 40% of which are pine forests). From the point of
view of the terrain, approximately half of the region’s
territory is located on the eastern slope of the Ural Mountains
(the Middle and partially the Northern Urals) with a
predominance of wooded ridges and ridges, the other half
in the adjacent territories of the West Siberian Plain [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>Thus, when analyzing vegetation, it must be taken into
account that sown and meadow areas make up no more than
15% of the territory while most of the vegetation indices are
adapted specifically for such types of vegetation.
Accordingly, it is necessary to establish which of the existing
vegetation indices are optimal specifically for the designated
region.</p>
      <p>
        II. OVERVIEW OF EXISTING VEGETATION INDICES
There are several commonly used vegetation indices. The
calculation of most of them is based on spectral brightness
coefficients for the two most stable regions of the spectral
reflection curve of vascular plants - red and infrared bands.
The most common of them is NDVI [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. NDVI values range
from -1 to 1. Along with the NDVI index under conditions
when vegetation occupies less than 30% of the image, the
RVI index [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] is often used, which range takes values [0, ∞].
There are also perpendicular vegetation indices (PVI, WDVI,
DVI [
        <xref ref-type="bibr" rid="ref5 ref6 ref7">5,6,7</xref>
        ]), transformed ones (TVI [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]) and other [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], a list
of indices used in the work, as well as formulas for their
calculation, are given in the table 1.
      </p>
      <p>THE MAIN VEGETATION INDICES USED IN THE VEGETATION</p>
      <p>ANALYSIS</p>
      <p>Formula
 N IR  R E D 
 N IR  R E D </p>
      <p>N IR
R E D</p>
      <p>N IR
 N IR  R E D 
 N IR  R E D   1
 N IR  R E D  2</p>
      <p>Vegetati
on index
DVI
PVI
WDVI
SAVI</p>
      <p>Formula</p>
      <p>N IR  R E D
sin   N IR  cos   R E D</p>
      <p>N IR    R E D</p>
      <p>N IR  R E D
N IR  R E D  L
(1  L )</p>
      <p>Vegetation
index
NDVI
RVI
IPVI
TVI</p>
      <p>
        Vegetation maps on the territory of the Sverdlovsk
Region (with a total area of 4300 sq. km), located within the
boundaries of the city of Nizhny Tagil and Gornouralsky city
district, are based on the Landsat-7 system data. [9]. The
terrain is low-mountainous, the predominant type of
vegetation is coniferous and mixed forests. Date: July 15,
2016. The image fragment is shown in Fig. 1. Ranges for
various vegetation indices were limited according to
previously indicated publications [
        <xref ref-type="bibr" rid="ref10 ref11 ref9">10,11,12</xref>
        ].
      </p>
      <p>To construct the vegetation indices according to table 1,
two Landsat-7 channels were used: № 3 (wavelength is 0.63–
0.68 μm) and № 4 (wavelength is 0.84–0.88 μm). The
calculations were carried out using MATLAB 2018,b.</p>
    </sec>
    <sec id="sec-2">
      <title>III. RESULTS</title>
      <p>To assess the accuracy of the obtained vegetation maps,
digital topographic maps of scale 1: 200 000 were used,
taking into account the fact that half of the territory is located
on a hilly area, the average error in the contours of areal
objects is equal to 30 m. In general, three types of errors
were calculated: δ1 is the relative missing error (in relation to
the standard) when according to the standard there should be
vegetation, but there is nothing on the vegetation map, and
δ2 is the relative false error when vegetation is present on the
vegetation map, and on the standard it is absent, as well as
the total error δ1 + δ2. The results are shown in table 2.</p>
      <p>It should be noted that for the PVI and WDVI indices
when constructing vegetation maps, knowledge of the
position of the line of soils was required, which was
calculated according to the “tasseled cap” graph (Fig. 2).
The angle of the line of soils is 9.7°. It should also be noted
that for the SAVI vegetation index, according to the articles,
there is uncertainty in the indication of the parameter L,
therefore, the need arose to consider it. The results are
presented in Fig. 3 and Fig.4. It was found that the right
parameter value for the selected area should be equal to
0.43.</p>
      <p>The most widely used vegetation indices were studied in
relation to the territory of the Sverdlovsk region In the course
of the work. It has been found that the most suitable index
for the studied fragment of the territory of the Sverdlovsk
region is IPVI the total classification error of 19,2 %.
Vegetation maps based on indices NDVI (20,2 %), RVI
(20.2 %) and SAVI (20,3 %) show slightly worse results. In
general, the errors turned out to be quite large, which is due
to the systematic deforestation and generally high dynamics
of the terrain. In the future, it is planned to carry out a more
detailed study of the range boundaries for the space systems
of Landsat-7, Landsat-8 and Sentinel-2, corresponding to
different types of vegetation, to identify the best vegetation
indices in order to adapt them to the specifics of the
Sverdlovsk region territory.</p>
    </sec>
    <sec id="sec-3">
      <title>ACKNOWLEDGMENT</title>
      <p>The work was supported by the RFFI grant
No.19-2909022\19.
[Online].</p>
      <p>URL:
https://earthexplorer.usgs.gov/</p>
    </sec>
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