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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Backscatter analysis of C-band radar signals using Sentinel-1 multitemporal data (test site near lake Baikal)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pavel N. Dagurov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aleksey V. Dmitriev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tumen N. Chimitdorzhiev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Arcady K. Baltukhaev</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Irina I. Kirbizhekova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Physical Materials Science</institution>
          ,
          <addr-line>SB RAS, Ulan-Ude</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>39</fpage>
      <lpage>46</lpage>
      <abstract>
        <p>The results of the analysis of multitemporal data of the Sentinel-1 radar for the test site near Lake Baikal are presented. The analysis of the seasonal dependences of backscattering from the soil is carried out. The connection between the signal level and the processes of freezing and thawing and temperature values has been established.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Radar</kwd>
        <kwd>Sentinel-1</kwd>
        <kwd>backscatter</kwd>
        <kwd>multitemporal data</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Synthetic aperture satellite radars are an efective method of research and monitoring of earth
covers, such as soil, forest, snow. The microwave range in comparison with the optical one has
such a significant advantage as independence from cloudiness and time of day. An important
advantage is also the fact that microwave radiation, in contrast to optical radiation, penetrates
to a certain extent into the interior of the earth’s cover. A common approach to the problems of
determining (recovering) the parameters of the earth’s cover by solving the inverse problem is
to measure the backscattering coeficient, which characterizes the intensity of the radar signal.</p>
      <p>An important type of backscatter radar data is the multi-temporal series of images obtained
on diferent days. In the case of analyzing a series of images obtained by the same (or identical)
instruments at diferent points in time, it becomes possible to trace, depending on the interval
between surveys, various changes in natural cover, such as changes in soil moisture, freezing
and thawing processes.</p>
      <p>
        The magnitude of the backscattering of the SAR signal from the soil is determined by the
dependence of its dielectric constant on the value of moisture and thawed or frozen state. The
possibility of detecting soil moisture is due to the large contrast between the relative dielectric
constant of dry soil, equal to 3–4, and water (∼ 80). Backscattering is also significantly afected by
the roughness of the soil surface [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. In the case of backscattering from the forest environment,
the signal intensity depends on both the biophysical parameters of the forest and the properties
of the soil, and the contribution of various components is largely determined by the frequency
of the radar signal.
      </p>
      <p>Soil backscatter models developed over the past decades are generally classified into three
groups; theoretical or physical, empirical and semi-empirical models.</p>
      <p>
        Empirical models are based on experimental results and are generally only valid for the
conditions at the time of the experiment. For example, it has been experimentally shown that
the linear relationship between the backscatter coeficient and soil moisture is satisfied when
soil moisture is in the range from about 10% to 35%, provided that the roughness does not change
between successive radar measurements [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. It has also been suggested that processing the
rainy season image and the dry season reference image can eliminate the roughness efects [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
This approach assumes that the roughness of the soil does not change between two dates, and
is suitable for soils without vegetation. Empirical models are typically derived from specific
datasets and implementation conditions (for example observation frequency, incidence angles,
and surface roughness).
      </p>
      <p>
        Semi-empirical backscattering models are based on a physical foundation, and then model
or experimental data are used to simplify the theoretical backscattering model. They provide
a relatively simple relationship between soil properties and backscattering and reflect, to a
certain extent, the physics of scattering mechanisms. Thus, such models usually ofer a good
compromise between the complexity of theoretical models and the simplicity of empirical
models [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Currently, the most widely used are two semi-empirical models developed by Oh
et al. [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and Dubois et al. [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Detailed information on their use is presented in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The Oh
model relates the backscatter coeficients of diferent polarizations to bulk soil moisture and
surface roughness. An advantage of the Oh model is that only one surface parameter (namely,
the root mean square roughness height) is required for its application. The model was applied for
air and satellite SAR measurements [
        <xref ref-type="bibr" rid="ref4 ref8">4, 8</xref>
        ]. A number of researchers have used the Dubois model,
obtaining both satisfactory results (for example, [
        <xref ref-type="bibr" rid="ref11 ref4">4, 11</xref>
        ]), and not so satisfactory results [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        The use of theoretical (physical) models makes it possible to simulate radio wave scattering
using soil parameters (dielectric constant and surface roughness) by taking into account the
interaction between microwave radiation and soil. They are based on the equations of
electrodynamics. The disadvantage of such models is that they require a large number of input
parameters, which makes their application rather complicated [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Currently, the standard
theoretical models used in backscattering theory include the Kirchhof approximation, the small
perturbation method [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], and the integral equation method [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        Let us dwell on the problem of remote sensing of snow cover on the ground using SAR.
In [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ], it is noted that due to the vastness and inaccessibility of many regions covered with
snow and ice, space remote sensing is the most popular tool for studying snow and ice. As
in the case of remote sensing of soil moisture, currently the main approach to sensing snow
using SAR is to measure and analyze the intensity of the scattered signal. The total power of
backscattering from the snow cover on the soil is due to the contribution of various mechanisms,
which can be roughly divided into two categories: surface scattering and volume scattering.
In [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], the potential of the C-band SAR data for determining the water equivalent of snow
was estimated. To estimate the water equivalent, a model has been developed that relates the
scattering coeficient to the parameters of snow cover and underlying soil and is based on
the ratio of scatter from a field covered with snow to scatter from a field without snow. The
results showed that volume scattering from dry snow cover less than 20 cm in height was not
detectable.
      </p>
      <p>In this work, the time dependences of the backscattering of C-band microwaves at the test
site near Lake Baikal are analyzed based on the multi-time series of images of the Sentinel-1
satellite radar. The results of studying the processes of soil melting/freezing and the efect of
snow cover based on the analysis of seasonal variations in backscattering are presented. For
comparison, the seasonal dependences of forest backscattering are shown.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Study area and dataset</title>
      <p>Investigations were carried out at a test site located near Lake Baikal. In Figure 1 shows a
pseudo-color image of a test area located near Lake Baikal. The image was formed from autumn
images (R), summer images (G), and winter images (B). In the image, plots 1, 2, 3 in the field
(pasture) and plots 4, 5. 6 in the forest adjacent to the field were highlighted.</p>
      <p>The field is relatively flat with a size equal to 2 × 1 km covered by sparse grass. The relief
height diferences are less than 5 m. The forest mainly consists of conifers with a tree height of
about 20 m with a fullness of 0.5–0.8.</p>
      <p>For backscatter analysis, images of the Sentinel-1 C-band synthetic aperture satellite radar
(5.55 cm wavelength) were used. A great advantage of the images obtained by this satellite is a
rather small time baseline, which is 12 days for one satellite, and free access to data, which makes
it possible to form long time series. When using two satellites (Sentinel-1A and Sentinel-1B), the
time interval between surveys is 6 days, however, in the territory of Buryatia, when using data
obtained in one orbit, only a 12-day interval is available. For the analysis, we used images in
the IW mode with a resolution of 10× 10 m in the polarization modes VV and VH, i.e., radiation
on vertical polarization, and reception on the main vertical polarization and on the horizontal
cross-component. For the analysis, 43 images were used, obtained in the period from July 19,
2018 to December 22, 2019. Note that the orbit over the study area was changed on July 19,
2019. The orbit number has changed from 135 to 33, and the radar angle of view from 33.6∘ to
38∘ . Table 1 shows the imagine dates of the Sentinel-1B over the study area.</p>
      <p>Images were processed using ESA SNAP and ENVI software.</p>
      <p>The climatic conditions of the study area are determined by its location in Buryatia (Eastern
Siberia, Russia), which features a sharp continental climate. In the cold season, the Siberian
(Asian) anticyclone occurs. Therefore, a large number of sunny days and low air temperatures
mark the winters in Buryatia. Winters feature negative temperatures ranging to − 35 ∘ C with
no thaws, and the snow is dry until the end of the thawing period (March–April). In February,
the soil freezes to a depth of more than 2 m.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Results and discussion</title>
      <p>before the moment of plowing are close to each other until the moment of plowing section 3.
The signal levels on the main polarization and cross-component have increased by 3–5 dB after
plowing in autumn 2018. Note the pronounced seasonal dependence of the signal behavior due
to freezing and thawing of the soil. When freezing, the dielectric constant of the soil decreases
slightly depending on the temperature. Therefore, the signal level changes little during the
winter months. In the summer months, there are noticeable fluctuations in the intensity of the
radar signal, caused by changes in soil moisture due to rains and the subsequent drying of the
soil.</p>
      <p>For comparison with the time series of signal intensities in Figure 3 shows the dependences
of the air temperature at a height of 2 m on the number (date) of the day, obtained at 5 o’clock
and 14 o’clock local time during the periods of freezing and thawing of the soil. Data obtained
from the site https://www.ventusky.com. Comparison of the time course of backscattering and
air temperature shows an obvious correlation between the moments of soil freezing and the
transition of temperature from positive values to negative values. When the soil thaws, such
a clear correlation is not observed. Let us consider the issue of the correlation between the
temperature and the backscattering amplitude in more detail. In 2018, from the analysis of the
dependencies in Figure 2 it follows that the level of the backscattered signal from the areas in
the field on November 16, 2018 (Table 1) decreased compared to the signal level on October 23,
2018 by 5 dB at the main polarization and by 4 dB at the cross-polarization. Unfortunately, the
data for April 11, 2018 turned out to be unavailable on the European Space Agency portal. On
plowed area 3, these values were 2.5–3 dB. It can be assumed that this is due to the incomplete
plowing of plot 3 as of November 16, 2018. Analysis of temperatures in Figure 3, a shows that on
October 23, 2018 and in the previous period, the air temperature was positive, and on November
4, 2018 (starting from November 1, 2018, it was below zero and the topsoil had time to freeze).
a (October — November, 2018)
b (February 15 — April 15, 2019)
c (October — November, 2019)</p>
      <p>The process of thawing the soil is more dificult because it is accompanied by melting snow.
Figure 2 shows that according to the data for February 20, 2019 and March 16, 2019, the signal
level increased by 4 dB, and then decreased due to soil drying after snowmelt and cyclic freezing
of the upper soil layer, which is confirmed by the data in Figure 3, b.</p>
      <p>The process of soil freezing in 2019, in a similar way compared to 2018, afected the amplitude
of the backscattered signal from the soil, causing it to decrease by 3–4 dB at the main polarization
and by 4–5 dB at the cross-component. However, the freezing process in 2019 began much
earlier than in 2018. According to Table 1 of satellite flights, the signal level dropped already on
October 11, 2019, and from Figure 3c it follows that on this day the temperature was below zero.
It is interesting to note that with a predominance of positive temperatures up to November 10,
it was on the days of satellite flights that the temperature was negative.</p>
      <p>Note that the behavior of the signal scattered by the forest significantly correlates with the
dependences obtained for the soil. A pronounced seasonal variation is also observed.</p>
      <p>From the presented dependences it follows that the snow cover does not afect the amplitude
of the radar signal. This is evidenced by the steady decrease in the signal amplitude in
OctoberNovember when the soil freezes, while the snow cover usually forms in December. So, for
example, snow at the end of 2019 began to fall on December 1 and went for 3 days, forming
a snow cover 20 cm thick. However, this dry snow cover did not afect the level of the radar
signal.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>The paper analyzes the time series of the Sentinel-1 radar backscattering at the test site near Lake
Baikal. It was found that backscattering in the test area has a pronounced seasonal dependence.
It is shown that as a result of the processes of freezing and thawing of the soil, the signal level
at the main polarization and cross-polarization changes within 3–5 dB. A comparison of the
dependences of changes in the signal level with the values of air temperature was carried out
and their relationship was established. A significant correlation was found between changes in
backscattering from soil and forest. It is shown that dry snow cover with a height of 20 cm does
not afect the backscatter in the C-band.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>The authors would like to thank European Space Agency (ESA) for Sentinel-1 data. The research
was carried out within the state assignment of Ministry of Science and Higher Education of the
Russian Federation.</p>
    </sec>
  </body>
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