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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Time-Space Earth Surface Gradients for Satellite Monitoring of Ecosystems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexei V. Kartushinsky(</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nikita A. Ogorodov(</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexander A. Larko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Federal Research Center KSC SB RAS</institution>
          ,
          <addr-line>Krasnoyarsk</addr-line>
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Institute of Biophysics SB RAS</institution>
          ,
          <addr-line>Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Siberian Federal University</institution>
          ,
          <addr-line>Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The results of Earth surface gradients characteristics calculate based on satellite data are presents. Dynamics structural features of horizontal gradient fields in aquatic objects and land ecosystems by physical, biological parameters are considered. Problems of the parametrization for environment exchanges evaluations with using numerical modeling based on satellite data and software tools are submitted. Spatial-temporal scaling and averaging of gradient components are discussed. Develop improved estimates of Earth surface gradients fields in the different ecosystems is considered.</p>
      </abstract>
      <kwd-group>
        <kwd>satellite data</kwd>
        <kwd>regional features</kwd>
        <kwd>gradient fields</kwd>
        <kwd>frontal zones</kwd>
        <kwd>ecotone</kwd>
        <kwd>spatial averaging</kwd>
        <kwd>average seasonal variability</kwd>
        <kwd>synergistic effect</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>Materials and methods</title>
      <p>
        Satellite data obtained by various scanners such as SeaWIFS, CZCS, AVHRR, MODIS, SPOT, LANDSAT,
AQUARIUS were used to calculate gradient characteristics in various regions of the Global Ocean and Eurasia. The
main attention is paid to identifying patterns of horizontal highly gradient zones formation according to physical and
biological components of the Earth's surface. To do this, use a gradient method of processing satellite data using
appropriate information technology and software [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. A methodology to study variability of surface gradient fields of
aquatic and terrestrial ecosystems as dynamic objects based on calculation of spatial gradients (latitudinal, meridional
and absolute) with different averaging periods (week, month, season, year) is used. Source data in the work are satellite
images and data of spectroradiometers obtained by high- and low-resolution hardware such as AVHRR MCSST, CZCS,
      </p>
      <p>SeaWIFS, MIRAS AQUARIUS, MODIS, MSS for various time periods from NOAA, TERRA, AQUA, SPOT-4,
LANDSAT-8 satellites.</p>
      <p>ENVI software product was used to calculate gradient fields of land vegetation, and IDL programming language
was used to write calculation logic.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Summary and discussion</title>
      <p>Calculation of spatial gradients of Earth's surface characteristics in latitudinal and meridional directions allows us to
identify areas with significant differences which can be interpreted as boundary or anomalous.
3.1</p>
      <sec id="sec-3-1">
        <title>Gradient fields in the surface Ocean</title>
        <p>Gradient fields of hydrological parameters in aquatic systems allow us to estimate intensity of dynamic processes
variability. An interaction of different water masses with different properties forms hydrological fronts that are
determined exactly by calculations of relevant gradients (Figure 1). In this case, the Global Ocean is a dynamic system
in which there are hydrophysical and hydrobiological structures formed by processes of various spatial and temporal
scales.</p>
        <p>
          Currently, considerable attention is paid to processing of observational data and their re-analysis using general ocean
circulation models to improve global models of interaction in an atmosphere-ocean-land system [
          <xref ref-type="bibr" rid="ref10 ref11 ref9">9, 10, 11</xref>
          ]. It is
important to understand a trigger for formation of such phenomena as North Atlantic Oscillations (NAO), El
NiñoSouth Oscillations (ENSO). An analysis of ocean high-gradient zones dynamic activity, determination of ocean’s
temperature field local interaction effects and formation of atmospheric circulations (cyclones, anticyclones) relevant
response based on gradient indicators will make it possible to understand time-space scales of local processes that
determine synergism of global (planetary) phenomena.
        </p>
        <p>The use of spatial gradient indicators calculated from satellite data in mathematical models gives a magnitude of
change rate in a surface layer structure. An analysis of dimensions of heat transfer, mass, and impurity diffusion
equations terms, based on theory of similarity, makes it possible to introduce initial, boundary conditions and a grid
calculation scale in mathematical models when conducting numerical simulations. Numerical modeling based on a 2D
model of heat transfer allows us to study variability of an ocean temperature frontal zones structure, depending on
dynamic conditions of heat transfer, mass and impurity concentration.
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Gradient fields in the surface Land</title>
        <p>
          As for land surface and terrestrial ecosystems, it is important to determine spatial scales of ecotones (transitional
boundaries between ecosystems) and time scales of variability of such zones. Processes with a low rate of dynamic
activity in space such as soil erosion, vegetation cover, and Earth's surface morphology are practically not evaluated by
gradient fields [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. However, these processes turn out to be significantly related in long-term series of observations.
        </p>
        <p>
          So, when evaluating biomass of gross primary production (GPP) and net primary production (NPP) of terrestrial
ecosystems using satellite data, it is sometimes difficult to determine the area of individual ecosystems and their spatial
boundaries (ecotones). In addition, in many works, spatial distribution of dynamics of NPP or another indicator is not
considered, but trends averaged over area are estimated [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. The obtained average results during further verification by
their terrestrial data are often very ambiguous. Therefore, we can talk about inapplicability of linear models for analysis
of time series in complex, spatially distributed systems. Therefore, there is a question of verifying and analyzing
applicability of various methods for obtaining time trends, a detailed examination of their features, strengths and
weaknesses, as applied to Earth remote sensing data included in an NPP assessment model [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ].
        </p>
        <p>Calculation of gradient fields of land vegetation indicators, in particular, the NDVI gradients, can help determine
spatial boundaries of ecosystems that in many respects correspond to terrain. The speed and direction of changes in soil
and vegetation cover may have different coherence, which is a response to climate change.</p>
        <p>An example of a gradient field of a vegetation index calculated based on a use of space data GIMMS (Global
Inventory Modeling and Mapping Studies) NDVI from 1982 to 2006, half-month composite images, 8-km resolution
(on the equator line), global scale, NOAA satellite AVHRR scanner, presented for the Baikal region in Figure 2.</p>
        <p>Thus, as a result of applying the gradient approach, it became possible to isolate large changes in boundary
transition between biomes and ecosystems such as taiga – tundra transition or zones of high mountain regions and
lowlands with corresponding types of vegetation.
3</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>Calculations of gradient characteristics of ecosystems surface based on satellite data make it possible to identify
zones with different dynamic activity. An analysis of gradient fields value distribution makes it possible to identify
heterogeneous and homogeneous zones of ecological systems and, with an appropriate averaging period, to obtain
degree of dynamism of such zones. This allows us to study natural systems structural organization processes and
timespace scales of variability that can be used in development of statistical and deterministic mathematical forecast models.</p>
      <p>For aquatic systems, studying a structure of gradient fields of water temperature, salinity, chlorophyll concentration,
turbidity makes it possible to identify a scale of zones of non-uniform characteristics distribution, to determine lifetime
of boundary (transition) zones by magnitude of gradient in meridional, latitudinal direction and modulo. Such a
methodology, combined with a use of appropriate information and software tools, makes it possible to evaluate effect of
factors of a physical and biological nature on ecosystem formation as a whole or to assess cyclical nature of these
factors action in individual parts of a system. For land ecosystems, degree of surface heterogeneities variability is much
lower than in aquatic systems, however, the gradient approach can provide a differentiated picture of ecosystem
boundaries based on satellite data. Therefore, it is possible to evaluate a synergetic component in self-organization of a
systemic level of interaction between ecosystems and elements of the Biosphere system at an Atmosphere-Ocean-Land
level with relevant scales of time-space averaging.</p>
    </sec>
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