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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Analysis and object-oriented generalization of meteorological data in solving the bioclimatic mapping problem</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vladimir V. Mikhailov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>St. Petersburg Federal Research Center of the Russian Academy of Sciences</institution>
          ,
          <addr-line>Saint-Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>507</fpage>
      <lpage>518</lpage>
      <abstract>
        <p>The focus of the paper is interrelation and character of changes in climate factors in Taimyr and the North of Evenki in the summer-autumn period between 1970 and 2020. Bioclimatic fields of the reindeer range as a form of object-oriented generalization of meteorological data have been constructed for the “average” and the most contrasting years in terms of temperature indices. The concept of “bioclimate” in modern bioclimatology is interpreted very broadly. Bioclimate is treated as the climate of biota; as climatic conditions that determine, among other environmental factors, the existence, development and reproduction of living organisms; as the efect of climate on the human body or other living beings. Climatic factors produce direct and indirect efect on living beings. Direct impacts can cause overheating, hypothermia, dehydration of the body or, for example, transport by wind, etc. Indirect impacts of climate are due to changes in foraging, mosquito population densities, the development of infectious diseases and changes in other indicators. Direct and indirect impacts of climate factors can also be identified for plant communities or mosquito populations. We believe that bioclimatic issues are concerned specifically with direct efects of weather and climate factors on animals or other components of ecosystems. Indirect impacts go beyond those that are purely climatic. These are predator-prey, parasite-host or other interactions. The indirect efects of climate factors can be taken into account within these interactions. Under this approach, the main objectives of bioclimatic research are as follows.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Bioclimatic mapping</kwd>
        <kwd>meteorological factors</kwd>
        <kwd>correlation</kwd>
        <kwd>cluster relationship structure</kwd>
        <kwd>data reconstruction</kwd>
        <kwd>model</kwd>
        <kwd>bioclimatic fields</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>1. The determination of the composition of meteorological factors directly afecting the
animal’s organism and the formation of an array of meteorological data for the area under
study.
2. The determination of the criterion index that characterizes the state of the animal’s
organism or its comfort level depending on the values of meteorological factors.
3. The identification of the connection between the values of climatic factors and the value
of the criteria index, i.e. the construction of the bioclimatic model of the ecosystem
component.
4. The calculation of the values of the criterion index in diferent spots of the territory on
the model and the construction of a bioclimatic field by approximation.</p>
      <p>
        The strength of the field at one or another point corresponds to the criterion indicator values
and thus characterizes the degree of favorability of the area for living organisms depending
on the existing or projected values of meteorological factors. In this work, the animal thermal
balance model [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ] is used to construct the bioclimatic fields of the reindeer habitat
      </p>
      <p>
        The study area is the Taimyr Peninsula and Northern Evenki, and the subject of bioclimatic
research is reindeer [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">3, 4, 5</xref>
        ].
      </p>
      <p>
        In order to reasonably approach the determination of the bioclimatic structure of the animal
range, it is necessary to assess the characteristics of the territory’s climate. Under warming
conditions, it is necessary to identify trends in climatic factors, assess inter-annual changes
in factors, and identify the most contrasting and average years for bioclimatic calculations.
Accordingly, the work consists of two parts. The first one investigates the dynamics of climatic
factors in the seasons with positive air temperature in the interval from 1970 to 2020, assesses the
correlations, reconstructs the missing data, and selects the most significant years for bioclimatic
calculations. These studies significantly complement the results of the climatic analysis of the
territories of Northern Middle and Western Siberia [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], belonging mainly to the southern part
of the reindeer range (forest-tundra and northern taiga zone).
      </p>
      <p>In the second part, model calculations are performed and bioclimatic fields of the habitat are
constructed for July, the warmest month in the North of Middle Siberia.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Analysis and reconstruction of meteorological data</title>
      <p>
        We used the data of hydro-meteorological stations (HMS) on the territory of Taimyr and the
North of Evenki (Table 1) in the interval from 1970 to 2020 in the seasons with positive air
temperatures (June–October). The choice of seasons with positive air temperatures is determined
by the following reasons. Reindeer are well adapted to harsh winter conditions. The lowest
critical air temperature for adult males is − 62 ∘ C and for females − 58 ∘ C. These temperatures
are much lower than those actually observed in reindeer wintering grounds [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. In summer, at
air temperatures above 20 ∘ C (with open sun above 15 ∘ C), the physiological thermoregulatory
system cannot provide reindeer with a thermal balance. Overheating is eliminated by reducing
the metabolic rate. However, with low activity, animals do not have time to gain normal biomass
in summer, which afects their reproductive ability and mortality rate in the winter period [
        <xref ref-type="bibr" rid="ref10 ref3">3, 10</xref>
        ].
The following meteorological factors were used: air temperature, wind speed, precipitation,
total cloudiness, air humidity, direct and difused solar radiation. Data averaging is monthly
average. The data on air temperature, the main factor determining the degree of well-being
and the possibility of survival of the components of polar ecosystems, were investigated most
carefully.
      </p>
      <p>The plots of changes in monthly average air temperatures between 1970 and 2020, as well as
the plots of the sums of positive temperatures were built for the permanently operating stations.
BMO
The linear and quadratic trends of the variables were determined from the plots. The resulting
data on the temperature rise over the interval by the linear trend and the range of inter-annual
deviations from the trend are presented in Table 2.</p>
      <p>As can be seen from the table, the largest increase in monthly average air temperature for
50 years at the inland stations occurred in June (about 4 ∘ C), in July and August the temperature
fell to 1.2 and 0.8 ∘ C, respectively. In September, it increased slightly to 1.4 ∘ C. At the coastal
stations of the Kara Sea, the temperature increase in July-August averaged 2.7 ∘ C. At Cape
Cheluskin the temperature did not change significantly in July (increase of 0.23 ∘ C), while in
August it rose by 2.15 ∘ C.</p>
      <p>The range of deviations of the monthly temperature from the trend is ± 4 ∘ C on average for
the stations.</p>
      <p>The sum of positive temperatures at Cape Cheluskin due to temperature increase in August
rose almost 3-fold due to the initial low sum. For Sterligov Gulf, the sum temperatures increased
by about a factor of 2 for the same reason. For all the other stations (including Dixon) the
increase in the sum is about the same and amounts to 275 ± 35 ∘ C (about 24% of the initial
sum).</p>
      <p>As an example in Figures 1–2 the plots of average monthly air temperatures for weather
stations Dikson and Khatanga are shown. The largest temperature increase at the stations along
a linear trend occurred in June. At Dikson the temperature increased by 4 ∘ C, at Khatanga by
almost 6 ∘ C. But the average July temperature in Khatanga increased by only 0.5 ∘ C during the
period of 50 years and by almost 3 ∘ C at Dikson.</p>
      <p>As can be seen from the graphs, the temperature increase along a quadratic trend has
accelerated since 2005, after its relative stabilization in 1980–2000. The studies have shown
that this trend is characteristic of temperature variations for most of the stations presented in
Table 1.</p>
      <p>The next stage of meteorological data processing consisted in determining the correlation
relations between the series of average July air temperature for all permanently operating
stations (Table 1). The correlation coeficients were calculated for the time period between 1970
and 2016 and for its individual intervals. The first coeficient conditionally corresponds to the
low level of warming (1970–1987), the second one (1988–2002) — to the average level, and the
third one (2003–2016) — to the high level. The connections with correlation coeficients of less
than 0.6 were not considered. Based on the results of the calculations, the weather stations were
grouped into clusters. A cluster contains the stations with a complete set of relations (each
station is related to each other).</p>
      <p>The clustering results are presented in Table 3. As can be seen from the table, climate change
leads to a decrease in the temperature stability of the system. The size of clusters decreases.
Two-component clusters and isolated weather stations appear. However, the value of the
correlation coeficient values and the corresponding cluster relationship structure determined
from the long data series (1970–2016) is almost unchanged compared to the results obtained
from the 1979–1987 data.</p>
      <p>In the 1990s, the meteorological stations Ust-Tareya, Taimyr Lake, Kresty on the Pyasin,
and Essey ceased operation. Since the data from these stations are extremely significant
for constructing bioclimatic fields, we made an attempt to reconstruct the series of monthly
July temperatures using regression models. The model arguments were selected taking into
account the values of correlation coeficients between the temperature series of simulated and
continuously operating stations. The coeficients were calculated using the data from 1970–1987,
when the entire network of weather stations was in operation. If the correlation coeficient
exceeded 0.6, the station was included in the list of argument stations, otherwise — it was
discarded. The data series from 1970–1987 from argument stations were used for model runs,
and the data series from 1988–2020 were used for forecasting. Below, a list of arguments is
presented for each of the models, with the corresponding values of correlation coeficients in
brackets:</p>
      <p>Essey: Khatanga (0.81), Olenek (0.6), Tura (0.62), Jalinda (0.71).</p>
      <p>Tareya: Sterligov (0.8), Dikson (0.74), Khatanga (0.78), Dudinka (0.82), Agata (0.66), Igarka (0.72).</p>
      <p>Kresty: Sterligov (0.8), Dikson (0.72), Khatanga (0.82), Dudinka (0.92), Agata (0.84), Igarka (0.91),
Turukhansk (0.69), Tura (0.73).</p>
      <p>Lake Taimyr. Taimyr: Cheluskin (0.62), Sterligov (0.7), Dikson (0.61), Khatanga (0.87),
Dudinka (0.67), Igarka (0.62).</p>
      <p>As it was shown earlier, the correlation coeficients for permanently operating stations
calculated by the 1970–1987 and 1970-2016 data turned out to be suficiently close. Thus, it can
a
be assumed that the cluster structure of correlation relations between permanently operating
and closed stations in general has not changed significantly either and regression dependences,
constructed using short data series, can be applied for forecast calculations. An additional
check was made for the Volochanka HMS. A regression model was built for this station and the
predicted and actual temperature values for the interval from 2008 to 2020 were compared. The
root-mean-square deviation of the calculated data from the actual data was 9.2%. The average
temperature value over the interval according to the calculated data is 13.6 ∘ C and according to
the actual data 13.5 ∘ C.</p>
      <p>Figure 3 shows the reconstructed data about the course of avarage July temperature from 1970
to 2020 for the continental stations in Taimyr and the linear and quadratic trends in temperature.</p>
      <p>Based on the analysis of average July temperatures for all the stations considered, the years
with maximum and minimum air temperatures were selected for bioclimatic calculations. The
warmest year was 1984 (average July temperature for all HMS was 14.5 ∘ C), the coldest — 1974
(average temperature 8.8 ∘ C). In the 21st century, the warmest year was 2012 and the coldest
was 2018 (14 and 9.6 ∘ C). The first pair of years was chosen for the calculations, because at this
time all the weather stations were operating and it was possible to use the actual data rather
than the predicted values. 1970 and 2014 were the “average” years and the closest years to a
linear temperature trend at the boundaries of the 1970–2020 interval. The average temperature
was 11.1 and 11.8 ∘ C.</p>
    </sec>
    <sec id="sec-3">
      <title>3. The bioclimatic structure of the reindeer range in Taimyr</title>
      <p>
        When determining the bioclimatic structure of the range, we relied on the concept of
thermoneutrality, interpreted in a broad sense as the ability of the animal organism to maintain a
thermal balance in a certain range of values of weather and climate factors through the work
of the physiological system of thermoregulation without changes in heat production, aimed
exclusively at eliminating overheating or overcooling of the body. In physiology this range of
factor values is referred to as the heat comfort zone of animals (HCZ). This idea corresponds
to biological concepts of thermoregulation in warm-blooded animals [
        <xref ref-type="bibr" rid="ref6 ref7 ref8 ref9">6, 7, 8, 9</xref>
        ]. In contrast to
HCZ, the thermoneutral zone concept (TNZ) characterizes only the temperature factor efect.
Thus, according to [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], TNZ is the temperature range in which the intensity of metabolism
does not depend on temperature; according to (GOST R ISO 14505-3-2010) TNZ is the range of
ambient temperatures at which the body maintains its thermal balance solely through vasomotor
reactions.
      </p>
      <p>
        In real natural conditions animals are always under the complex influence of climatic and
radiation factors. In this regard, the heat comfort zone characterizes the bioclimatic structure
of the habitat more reliably than TNZ. However, it is very dificult to define the boundaries
of the zone and metricize its bioclimatic structure, taking into account the complex nature of
the impact of meteorological factors and the joint work of diferent physiological systems of
reindeer thermoregulation. This has prompted the use of modelling methods. A special version
of the heat balance model has been developed to assess the level of animal comfort. A detailed
description of the biological rationale, the mathematical structure and the results of validation
experiments is available in [
        <xref ref-type="bibr" rid="ref1 ref2">1,2</xref>
        ]. For this reason, we will limit ourselves to a brief description of
the model’s features.
      </p>
      <p>
        The model belongs to the class of compartmental models and has two layers. The first layer
is represented by the “core” compartment and the second one — by the “shell” compartments
(shells of head, neck, torso, upper and lower parts of forelimbs, upper and lower parts of hind
limbs). This structuring is related to the peculiarities of the thermal characteristics of the animal
body and the availability of the information required to set up the model [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ].
      </p>
      <p>
        The model implements an active heat flow regulation system. Within HCZ, regulation is
accomplished by changing the thermal conductivity of the coat and sheath tissues, as well as the
heat output of the respiratory system. The diference of heat production and heat dissipation is
used as a regulated value, balancing both within a separate phase of animal behavior (movement,
resting, feeding) and the cycle of these phases in the daily time budget [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. Beyond the HCZ
boundary, the thermal balance is established by changing the heat production value. Overcooling
is compensated by activation of chemical regulatory mechanisms (cold muscle tremors and cold
muscle tone) that increase the body’s heat production. The maintenance of the thermal balance
during overheating is ensured by reducing the level of metabolism and, consequently, the heat
production of the animal’s organism [
        <xref ref-type="bibr" rid="ref10 ref6">6, 10</xref>
        ].
      </p>
      <p>The intensity of the impact of climatic factors on the animal’s body outside the HCZ can be
estimated by the relative energy imbalance  :</p>
      <p>= (  −   )/ ,
where   is normal heat production,   is heat loss.</p>
      <p>With overheating   &gt;  ,   &lt; 0, with sub cooling   &lt;  ,   &gt; 0.</p>
      <p>In the zone of thermal comfort there is a balance   ≈  , maintained due to the work
of the thermoregulation system. From the energy point of view, the zone is homogeneous in
terms of intensity, and there is no energy imbalance. However, the zone is not homogeneous in
terms of the intensity of the thermoregulation system of the animal.</p>
      <p>The methodology we use to determine the bioclimatic structure is based on the assumption:
the intensity of exposure to climatic factors within the HCZ can be estimated from the state of
the thermoregulation system. The weighted additive convolution was used as an indicator of
the thermoregulation system condition, the weights in which were chosen to be proportional to
the contribution of the subsystems to the total value of heat output of the animal’s organism.
A measure of the severity of the impact of climatic factors on animals is the normalized value
of the convolution. Rationing is performed in such a way that at the upper boundary of HCZ
intensity index  = 1, at the lower boundary  = 0. Outside the HCZ, the relative value of
imbalance of heat production and body heat loss is added to the tension value at the boundary.
In case of overheating the value of tension index K&lt;0, in case of undercooling  &gt; 1. The
higher the stress index is relative to unity or the lower the stress index is relative to zero, the
higher energy cost must be paid by the animal to restore its heat balance. Energy imbalance
leads to a decrease in protective and reproductive performance of animals, as a result of which
reindeer cannot survive in such conditions for a long time.</p>
      <p>The procedure for creating areal bioclimatic fields includes preparing the necessary
meteorological information, conducting calculations on the heat balance model to determine the
intensity of the impact of climatic factors in given locations, and constructing the isolines of
the intensity fields using GIS technologies.
a
b</p>
      <p>Figure 4 shows reindeer bioclimatic fields for two years with contrasting average July
temperatures: 1974 — the coldest and 1989 — the warmest, and the middle years — 1973 and 2014,
as it was markets early. As can be seen from the figures, the maximum inter-annual shifts of
the Taimyr HCZ boundaries in July are about 150 km or more. Shifts associated with climate
warming are considerably smaller, amounting to only about 40 km over 40 years.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>
        The bioclimatic approach was used to analyze the spatial structure of the Taimyr wild reindeer
population. It was found that the seasonal movements of reindeer in Taimyr and northern
Evenki allow the animals to remain in favorable conditions, maintaining a stable heat balance.
At the same time, during the most important periods for the well-being of the population —
calving and autumn fattening — the animals are located in areas with optimal bioclimatic
conditions (0.4 &lt;  &lt; 0.6) [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>
        In domestic reindeer husbandry, herds traditionally graze in the areas with the most favorable
bioclimatic conditions, and reindeer herders adhere to these even when forage resources are
significantly depleted. In the past decades, a significant growth of the reindeer population was
only observed in the tundra regions of Western Siberia, a region with scarce pastures, but also
with better climatic conditions for reindeer husbandry [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. Modelling was used to identify the
areas of climatic optimum for traditional reindeer husbandry of indigenous peoples of Siberia
and the Far East [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ].
      </p>
      <p>The bioclimatic approach can be applied to other species, birds or other ecosystem components
to identify seasonal range dynamics in relation to climatic conditions. By overlapping fields,
problem areas can be identified, e.g. areas of the reindeer HCZ that are also climatically favorable
for the breeding of blood-sucking insects or gadflies.</p>
      <p>SCILAB and QGIS software packages were used for calculations and mapping.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>The work was carried out in the framework of the budgetary theme 0073-2019-0004.</p>
    </sec>
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