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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-15-1319-2018</article-id><title-group><article-title>Climate effects on vegetation vitality at the treeline<?xmltex \hack{\break}?>
of boreal forests of Mongolia</article-title><alt-title>Climate effects on vegetation vitality</alt-title>
      </title-group><?xmltex \runningtitle{Climate effects on vegetation vitality}?><?xmltex \runningauthor{M. Klinge et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Klinge</surname><given-names>Michael</given-names></name>
          <email>mklinge1@gwdg.de</email>
        <ext-link>https://orcid.org/0000-0001-5374-9363</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Dulamsuren</surname><given-names>Choimaa</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Erasmi</surname><given-names>Stefan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Karger</surname><given-names>Dirk Nikolaus</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Hauck</surname><given-names>Markus</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Geography, University of Goettingen,
Goldschmidtstr. 5, 37077 Goettingen, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Albrecht-von-Haller Institute for Plant Sciences
Plant Ecology and Ecosystems Research, University of Goettingen,<?xmltex \hack{\break}?>
Untere Karspuele 2, 37073 Goettingen, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Swiss Federal Research Institute WSL, Zuericherstrasse 111, 8903
Birmensdorf, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Michael Klinge (mklinge1@gwdg.de)</corresp></author-notes><pub-date><day>5</day><month>March</month><year>2018</year></pub-date>
      
      <volume>15</volume>
      <issue>5</issue>
      <fpage>1319</fpage><lpage>1333</lpage>
      <history>
        <date date-type="received"><day>31</day><month>May</month><year>2017</year></date>
           <date date-type="rev-request"><day>10</day><month>July</month><year>2017</year></date>
           <date date-type="rev-recd"><day>24</day><month>January</month><year>2018</year></date>
           <date date-type="accepted"><day>3</day><month>February</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018.html">This article is available from https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018.pdf</self-uri>
      <abstract>
    <p id="d1e134">In northern Mongolia, at the southern boundary of the Siberian boreal forest
belt, the distribution of steppe and forest is generally linked to climate
and topography, making this region highly sensitive to climate change and
human impact. Detailed investigations on the limiting parameters of forest
and steppe in different biomes provide necessary information for
paleoenvironmental reconstruction and prognosis of potential landscape
change. In this study, remote sensing data and gridded climate data were
analyzed in order to identify main distribution patterns of forest and steppe
in Mongolia and to detect environmental factors driving forest development.
Forest distribution and vegetation vitality derived from the normalized
differentiated vegetation index (NDVI) were investigated for the three types
of boreal forest present in Mongolia (taiga, subtaiga and forest–steppe),
which cover a total area of 73 818 km<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. In addition to the
forest type areas, the analysis
focused on subunits of forest and nonforested areas at the upper and lower
treeline, which represent ecological borders between vegetation types.
Climate and NDVI data were analyzed for a reference period of 15 years from
1999 to 2013.</p>
    <p id="d1e146">The presented approach for treeline delineation by identifying representative
sites mostly bridges local forest disturbances like fire or tree cutting.
Moreover, this procedure provides a valuable tool to distinguish the
potential forested area. The upper treeline generally rises from 1800 m
above sea level (a.s.l.) in the northeast to 2700 m a.s.l. in the south.
The lower treeline locally emerges at 1000 m a.s.l. in the northern taiga
and rises southward to 2500 m a.s.l. The latitudinal gradient of both
treelines turns into a longitudinal one on the eastern flank of mountain
ranges due to higher aridity caused by rain-shadow effects. Less productive
trees in terms of NDVI were identified at both the upper and lower treeline
in relation to the respective total boreal forest type area. The mean growing
season temperature (MGST) of 7.9–8.9 <inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and a minimum MGST of
6 <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C are limiting parameters at the upper treeline but are
negligible for the lower treeline. The minimum of the mean annual
precipitation (MAP) of 230–290 mm yr<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is a limiting parameter at the
lower treeline but also at the upper treeline in the forest–steppe ecotone.
In general, NDVI and MAP are lower in grassland, and MGST is higher compared
to the corresponding boreal forest. One exception occurs at the upper
treeline of the subtaiga and taiga, where the alpine vegetation consists of
mountain meadow mixed with shrubs. The relation between NDVI and climate data
corroborates that more precipitation and higher temperatures generally lead
to higher greenness in all ecological subunits. MGST is positively correlated
with MAP of the total area of forest–steppe, but this correlation turns
negative in the taiga. The limiting factor in the forest–steppe is the
relative humidity and in the taiga it is the snow cover distribution. The
subtaiga represents an ecological transition zone of approximately
300 mm yr<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> precipitation, which occurs independently from the MGST.</p>
    <p id="d1e191">Since the treelines are mainly determined by climatic parameters, the rapid
climate change in inner Asia will lead to a spatial relocation of tree communities, treelines and
boreal forest types. However, a direct deduction of future tree vitality,
forest composition and biomass trends from the recent relationships between
NDVI and climate parameters is<?pagebreak page1320?> challenging. Besides human impact, it must
consider bio- and geoecological issues like, for example, tree rejuvenation,
temporal lag of climate adaptation and disappearing permafrost.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e201">Due to the highly continental environment in northern central Asia, Mongolia
is subjected to dry and winter-cold climate conditions. The landscape and
vegetation development is highly sensitive to changes in temperature and/or
precipitation (Dulamsuren et al., 2010a; Gunin et al., 1999). The intensity and impact of climate parameters on
vegetation strongly varies in space caused by different factors like
topography, latitude and air circulation. Corresponding to the change in
climatic conditions from cold semihumid in the north to warm and arid in the
south, a latitudinal zonation of the vegetation occurs, which is modified by
an altitudinal zonation in the mountains (Hilbig, 1995). From north to south,
these vegetation zones include taiga, forest–steppe, steppe and the Gobi
desert. Taiga, subtaiga and fragmented forests in the forest–steppe ecotone
represent the southern edge of the Eurosiberian boreal forest. The grassland
belongs to the region of the Mongolian–Chinese steppe. The distribution of
the different vegetation zones, boreal forest types and treelines is mainly
controlled by air temperature, evapotranspiration and precipitation (Walter
and Breckle, 1994). However, site-specific edaphic parameters, including soil
temperature, soil moisture and nutrient availability, also play a role.
Moisture conditions are a key limiting factor controlling the distribution of
deserts and steppes as well as for the lower boundary of mountain forests at
the transition to drylands. In contrast, thermal conditions control position
of the upper treeline and the alpine vegetation belt (Klinge et al., 2003,
2015; Körner, 2012; Paulsen and Körner, 2014). Both the upper and the
lower treelines of Mongolia's boreal forests represent an obvious visual
boundary between vegetation zones of highly different ecological
requirements, though their current state can be
strongly influenced by human impact (Klinge et al., 2015).</p>
      <p id="d1e204">The mean temperature of the growing season (MGST) is more relevant for
describing the thermal environment at the upper forest line than mean annual
air temperature (MAAT), because winter temperatures are of minor significance
for tree growth (Jobbágy and Jackson, 2000; Körner, 2012). To define
temperature conditions at the upper treeline the warmest month isotherm of
10 <inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C is commonly used (Walter and Breckle, 1994). For the northern
Tian Shan, Klinge et al. (2015) indicated a minimum monthly mean temperature
of 5 <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C during the growing season. Paulsen and Körner (2014)
defined the minimum MGST as 5.5 to 7.5 <inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and the mean temperature
as 6.4 <inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C during a period of daily temperatures <inline-formula><mml:math id="M10" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.9 <inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
in a minimum growing season of 94 days for the upper treeline in a global
context. A lower treeline occurs in the semiarid region of central
Asia between relatively
humid mountain regions and arid basins. The forest distribution is generally
limited by annual precipitation, which has its minimum between 300 and
200 mm yr<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Dulamsuren et al., 2010a; Holdridge, 1947; Miehe et al.,
2003; Walter and Breckle, 1994).</p>
      <p id="d1e272">In the forest–steppe, the spatial distribution of vegetation is highly
correlated with terrain parameters (Hais et al., 2016; Klinge et al., 2015).
Less solar radiation input causes lower temperatures and reduces the
evapotranspiration pressure on north-facing slopes, leading to higher
humidity, higher soil moisture and more widespread permafrost. The higher
water availability supports tree growth (Dashtseren et al., 2014). The
dominant tree species in Mongolia's boreal forests is Siberian larch
(<italic>Larix sibirica</italic>). On south-facing slopes higher solar irradiation
produces hydrological conditions which are too dry for the establishment of
forests and thus favor grassland (Bayartaa et al., 2007).</p>
      <p id="d1e278">With respect to global climate change, the question of potential shifts in
growth conditions arises. Vegetation indices like the most commonly applied
NDVI (normalized differentiated vegetation index), which are derived from
multispectral satellite images (Landsat, MODIS, SPOT VGT), provide
information about the “greenness” and vitality of the vegetation cover. The
various investigations into recent trends in climate and NDVI which exist for
the region of Mongolia state partially diverging results (Dashkhuu et al.,
2015; Eckert et al., 2015; Miao et al., 2015; Poulter et al., 2013;
Vandandorj et al., 2015). Instrumental climate data from weather stations in
Mongolia are often discontinuous and time series of climate measurements are
not available from mountain areas since climate stations are located near
settlements in the basins. Thus, representative climate parameters must be
modeled by different regionalization processes (Böhner, 2006). Various
gridded datasets of reanalyzed climate parameters with different spatial and
temporal resolution exist, which are mainly used for climate trend analysis;
examples include CRU-TS (Harris et al., 2014), ERA-interim (Dee et al.,
2011) and CHELSA (Karger et al., 2017) (Figs. S1 and S2 in the Supplement).
While the quality, origin and resolution of climate records are potential
sources of uncertainty, the results and interpretations of the
correlations between climate and NDVI trends occasionally suffer from
disregarding the specific bio-ecological restrictions of the different
vegetation zones.</p>
      <p id="d1e282">Batima et al. (2005) analyzed climate station data and observed an increasing
MAAT of 1.7 <inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for Mongolia between 1940 and 2001. Eckert et
al. (2015) stated that temperatures have not varied much since the year 2000.
Dulamsuren et al. (2014) found a trend toward warmer temperature extremes
starting around 2000. Measurements of permafrost distribution and active
layer development in Mongolia show a general trend of permafrost degradation,
which has been accelerating since the 1990s (Sharkhuu et al., 2007;<?pagebreak page1321?> Sharkhuu,
2003). This is due to climate warming but reinforced by a loss of vegetation
caused by livestock grazing in some steppe areas and tree cutting in the
forests. Permafrost degradation is more intense in the Khuvsgul area than in
the Khentei and Khangai Mountains (Sharkhuu et al., 2007).</p>
      <p id="d1e294">The trends in precipitation in Mongolia are not spatially uniform and can
strongly depend on the period of observation used for climate analysis
(Erasmi et al., 2014; Giese et al., 2007). Batima et al. (2005) found a
negative trend of annual precipitation in the period between 1970 and 2001.
In the driest regions of western and southern Mongolia, no specific trends
occurred at all. Based on tree-ring data, Dulamsuren et al. (2010b)
documented increasing drought stress for larch trees in the Khentei
Mountains, which they attributed to increasing aridity caused by rising summer
temperatures and decreasing summer precipitation during the last 50 years.
Although trees at the outer boundary of the forest stands might be better
adapted to drought stress, obvious margins of dead trees surrounding the
forest islands were recently found in many places in the forest–steppe. For
the period from 1980 until 2005, Bayartaa et al. (2007) reported a strong
increase in burnt forest area in Mongolia, starting in 1996, which was caused
by very dry winter and spring seasons but may also be combined with weakened
governmental management during the period of political transition. A general
tendency of decreasing lake levels during recent decades in two great lakes
of interior drainage in the Gobi with an catchment area south of the Khangai
Mountains was observed by Szumińska (2016). This lake-level decline was
associated with trends in reduced precipitation and increased
evapotranspiration resulting from rising temperatures.</p>
      <p id="d1e297">Eckert et al. (2015) analyzed the general trend for NDVI in Mongolia during
the period between 2001 and 2011 using the MODIS NDVI dataset and found
mostly positive trends in northern and eastern Mongolia, stable conditions in
southern Mongolia and large areas of negative trends in the northern
Mongolian Altai and in the east of the Khangai Mountains. Based on the same
dataset and a similar period from 2000 to 2012, Vandandorj et al. (2015)
analyzed the seasonal variation of NDVI for individual vegetation zones. High
variations of NDVI occur particularly in the steppe regions where the
vitality and density of grassland is closely related to the amount of annual
precipitation due to low stomatal control of transpiration by the grassland
vegetation. Low variations in NDVI occur in forested regions, since trees
exert a much stricter stomatal control of transpiration than herbs and
grasses, and in the sparsely vegetated desert regions. Poulter et al. (2013)
investigated the influence of recent climate trends on the forests in inner Asia by the temporal distribution of a greening value using specific
vegetation indices from remote sensing data and environmental datasets. They
found a trend toward earlier greening induced by increasing spring temperatures
and earlier browning associated with decreasing summer precipitation. Based
on these relationships they projected better future forest conditions for
Mongolia until 2100. In opposition to these findings, Bayartaa et al. (2007)
reported that climate scenarios would indicate a significant decrease in
forest area and its total biomass for Mongolia until the middle of the 21st
Century, which is in accordance with the recent trends from
dendrochronological data from Mongolia (Dulamsuren et al., 2010a, b, 2014;
Khansaritoreh et al., 2017). Lu et al. (2014) investigated the applicability
of different remote sensing-based biomass estimation approaches. They found
that the biomass estimation method via NDVI was sufficient in low-density
forests. Dulamsuren et al. (2016) showed the NDVI to be well suited to
estimating the tree biomass of Mongolian forests. The best fit of linear
regression was found between biomass and the mean NDVI of April for the
period 1999–2013. This shows that in addition to the vegetation vitality the
NDVI is a valuable indicator for tree biomass in open forest stands.</p>
      <p id="d1e300">With regard to the diverse and in parts contradictory observations on
climate and vegetation status, interdependencies, and recent trends in
Mongolia that are reported here, this study investigates the present
distribution of forest areas and its relation to the actual climate and
topography based on high-resolution satellite and gridded climate data. In
addition to existing studies, here, the specific impact of climate
parameters related to different boreal forest types and ecological subunits
is analyzed in order to delineate potential turning points for environmental
changes. The following hypotheses were tested:</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e305">The vegetation zones of Mongolia (modified from Gunin and
Vostokova, 2005, and Landsat 8 supervised classification).</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018-f01.jpg"/>

      </fig>

      <p id="d1e315"><list list-type="bullet">
          <list-item>

      <p id="d1e320">Every type of boreal forest is delimited by a specific climatic envelope.
The statistical correlations between NDVI and climate parameters in
different forest types and at the corresponding treelines reflect
climate-ecological relationships and limitations.</p>
          </list-item>
          <list-item>

      <p id="d1e326">Different spatial gradients of climate-induced vitality change exist for
different types of boreal forest. This applies in particular to the
treelines as an indicator of extreme ecological site conditions.</p>
          </list-item>
          <list-item>

      <p id="d1e332">Forest and grassland of the same zone of boreal forest type show different
spatial gradients and relations to climate.</p>
          </list-item>
        </list></p>
</sec>
<sec id="Ch1.S2">
  <title>The study area</title>
      <p id="d1e343">Mongolia is situated in northern central Asia in the transition zone between
the Siberian taiga in the north and the Gobi desert in the south (Fig. 1).
Mongolia extends from 87<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>45<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> to 119<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>56<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E and from
41<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>34<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> to 52<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>09<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N and covers a total area of
1 562 950 km<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. Wide basins of interior drainage occur at elevations
between 900 and 1500 m a.s.l. with the lowest areas below 720 m a.s.l.
There are five principal mountain systems in Mongolia: the Mongolian Altai
(MA) in the west (highest peak is Tavan Bogd, 4374 m a.s.l.), the Gobi
Altai in<?pagebreak page1322?> the south (Ikh Bogd, 3957 m a.s.l.), the Khangai Mountains (KaM)
in the center (Otgon Tenger, 3964 m a.s.l.), the Khentei Mountains (KeM) in
the northeast (Asralt Kharj khan, 2799 m a.s.l.), and the Khuvsgul region
in the eastern Sayan Mountains (Munkh Saridag, 3460 m a.s.l.). The mountaintops are shaped by pronounced flat surfaces at elevations between 2500 and
3500 m a.s.l. (Academy of Sciences of Mongolia and Academy of Sciences of
USSR, 1990; Murzaev, 1954).</p>
      <p id="d1e428">The climate of Mongolia is highly continental with semihumid, semiarid and
arid conditions. In wintertime, the Siberian high-pressure cell produces cold
and dry weather with little snowfall and mean temperatures between <inline-formula><mml:math id="M23" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 and
<inline-formula><mml:math id="M24" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Barthel, 1983; Klinge, 2001). The main rainfall occurs
from June to August during the short summer and is induced by westerlies and
cyclone precipitation, with the dry season starting again in autumn. The mean
summer temperatures range between 10 and 27 <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Mean annual
precipitation is lower than 50 mm in the interior basins, around 125 mm in
the southern desert and up to 350 mm in the northern steppes, whereas it
rises to more than 500 mm in the high mountains.</p>
      <p id="d1e463">According to the climatic conditions, the vegetation zones are arranged in
characteristic sequences along latitudinal and altitudinal gradients (Hilbig,
1995). Dark mountain taiga with coniferous trees (<italic>Pinus sibirica, Picea obovata</italic>, <italic>Abies sibirica, Larix sibirica</italic>) occurs as closed
forests in northern Mongolia and locally as mountain taiga in the upper KaM
in central Mongolia (Dulamsuren, 2004). The subtaiga forest type with needle
and deciduous broadleaf forests (<italic>Larix sibirica, Pinus sylvestris,</italic>
<italic>Betula platyphylla</italic>) represents a type of light taiga beneath and
surrounding the mountain taiga. In northern Mongolia, the forest often
extends into the valley bottoms and open grassland is restricted to
intramontane basins. The vegetation in central Mongolia consists of steppe
grassland in the basins and forest–steppe in the mountains. In this forest
boundary ecotone of semiarid climate conditions, deciduous conifer forests
consisting of <italic>Larix sibirica</italic> are primarily limited to north-facing
slopes (Treter, 1996). In the high mountains, dense alpine meadow vegetation
occurs between forest–steppe and the periglacial zone of frost debris. The
main perennial rivers are accompanied by floodplain meadows and alluvial
forests of <italic>Populus</italic> spp. and <italic>Ulmus pumila</italic> (Hilbig, 1995).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e490">Processing workflow for treeline delineation, NDVI and climate
analysis.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018-f02.png"/>

      </fig>

      <p id="d1e500">Missing forest management and extensive forest use by tree cutting and wood
pasture led to forest degradation and local deforestation in many regions of
Mongolia during recent decades (Tsogtbaatar, 2004). In addition, hazardous
forest fires destroyed large forest areas (Bayartaa et al., 2007; Goldammer,
2002, 2007; Hansen et al., 2013). Although it is supposed that most of the
recent forest fires in Mongolia were primarily set by humans, there is an
additional ecological exposure to fire susceptibility (Dorjsuren, 2009),
which is caused by climate warming, permafrost retreat and insect
calamities.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e505">Examples for the spatial resolution of the different data:
<bold>(a)</bold> mean growing season NDVI 1999–2013, <bold>(b)</bold> mean growing season temperature
1999–2013, <bold>(c)</bold> upper and lower treeline boundary from Landsat and SRTM
data.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018-f03.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Methods</title>
      <p id="d1e529">Figure 2 shows a scheme of the complete analysis process, and the individual
steps are described in detail below. Figure 3 provides visualizations of the
different spatial resolution of the basic datasets used for the analysis.
The forested area of Mongolia and its surroundings was mapped from
50 Landsat 8 satellite images (spatial resolution 30 m). Images of the years
2013 and 2014 were used as a baseline, and, in areas of low quality or high
cloud coverage, were supplemented by Landsat 5 images from 2009 to 2011
(spatial<?pagebreak page1323?> resolution 30 m). The mapping process consists of two steps.
Initially a maximum likelihood supervised classification was carried out and
subsequently the resulting forest polygons were visually proofed and manually
corrected.</p>
      <p id="d1e532">The elevation of the actual treeline was calculated from selected points of a
digital elevation model (DEM) taken from SRTM data (spatial resolution 90 m;
Fig. 3c). Points representing the treeline were established using a
kernel model, which evaluates, for every pixel covered by forest, whether (1) it has
a slope of more than 2<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, (2) there is any forested area in the
surroundings in a higher or lower position and (3) there is any woodless
area representing the existence of the next vegetation zone beyond the
potential forest boundary, to exclude relief-related distribution limits. The
specific search parameters for the upper and lower treeline are given in
Fig. 2. Körner (2012) proposes a minimum vertical range<?pagebreak page1324?> of 100 m from
the upper treeline (UT) to the summit to prevent the summit effect on tree
development and to receive a true climatic treeline value. Due to extensive
planation surfaces in the area of KaM, the widespread alpine belt occurs with
less than 100 m vertical distance between the upper treeline and the flat
mountaintops. Thus, it was necessary to reduce the minimum distance for
defining the summit effect in the modeling to only 10 m to prevent UT
values beyond large alpine areas from being excluded. After visual proof and
deletion of strong outlying points, a final number of 7081 points for the UT
and 5220 for the lower treeline (LT) were used for the spatial interpolation
of the treeline surfaces applying the natural neighbor method (Watson, 1992).
Subsequently, the vertical distance of the treeline surfaces and the area above
and below the treeline were calculated. A buffer of 1000 m around these
areas was chosen to represent the treeline boundary area. This distance meets
the spatial resolution of the SPOT VGT and climate data (Fig. 3b).</p>
      <p id="d1e544">The distribution of the different zones of boreal forest type was adapted
from the <italic>Ecosystems Atlas of Mongolia</italic> (Gunin and Vostokova, 2005).
At places where the map does not match the position of the landscape elements
represented in the remote sensing data, the spatial deviations were corrected
to the position of the satellite images. The different ecosystem
units were generalized to the main vegetation zones (desert, desert steppe,
steppe, forest–steppe, subtaiga, taiga, alpine vegetation). Forests of
floodplain areas, which are hydrologically favored by groundwater, were
excluded from this analysis. Where forest areas were found in steppe regions,
those parts were changed into forest–steppe. In the upper elevation belts
where the strong disparity between north-facing slopes with forest and
south-facing slopes with steppe dissipates, the areas with slopes covered by
forests in every direction were reclassified as mountain subtaiga.
Subsequently, the mapped forest areas were combined with the vegetation zones
to achieve a spatial differentiation between forested area and open grassland
within the total ecological (TE) units of the forest–steppe, subtaiga and
taiga. These three types of boreal forest comprise the area under
investigation in the present study.</p>
      <p id="d1e550">Here, the statistical approach to use one mean value in a period of 15 years
(1999–2013) for every parameter was chosen in order to eliminate annual
changes and interannual variations, which derive from phenology and climate
variability. Thus, normalized variables representing the mean site conditions
were computed and spatially analyzed, although this is a simplification since
the plant species respond to interannual variations and extreme values. NDVI,
temperature and solar radiation are integrated to the MGS (mean growing
season). Precipitation during the
winter season is retained in the soil and additionally available during the
MGS. The vegetation index from SPOT VGT satellite data was used for the time
span from 1 January 1999 to 31 December 2013, which originally consists of
SPOT-Vegetation 10-daily NDVI<?pagebreak page1325?> composites (spatial resolution 1 km, Fig. 3a).
These data were aggregated to monthly values using the maximum value of the
three 10 day composites. Monthly NDVI data were further aggregated to the
mean of the growing season from May to September (MGS-NDVI) for the period
1999 to 2013. We used reanalyzed climate data from the CHELSA dataset with
30 arcsec resolution (approx. 1 km, Fig. 3b), because it incorporates
terrain parameters and wind effect for better representing climate parameters
in the relief (Karger et al., 2017) (Figs. S1 and S2 in the Supplement).
Monthly data from 1999 to 2013 were averaged to cover the same period as the
MGS-NDVI dataset. While MGSTs were calculated from
the monthly means from May to September, the mean annual precipitation (MAP)
represents the average of the total annual sum of the period from 1999 to
2013. The sum of solar radiation input (MGSR; Wh m<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for the MGS
(day 121–273) was simply calculated with a GIS-tool based on STRM-DEM data
for 2007 and was assumed to be relatively constant for the observation period
1999 to 2013.</p>
      <p id="d1e569">Up to 3000 random points for both forest and grassland area in the three
types of boreal forest and at the upper and lower forest boundary were chosen
for statistical analysis (Tables 1, 2). The total number of random points was
reduced for treeline subunits, which have only a small spatial distribution
to prevent a point density that is too large. Areas of larger valleys where extensive
forest occurs below the LT are excluded from the treeline analysis.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><caption><p id="d1e575">Arithmetic mean <inline-formula><mml:math id="M29" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation of different climate
parameters (MAP: mean annual precipitation, MGST: mean growing season temperature, MGS-NDVI: mean growing
season normalized differentiated vegetation index) and vegetation units
(subunits are TE: total ecological unit, LT: lower treeline, UT: upper
treeline, s: portion of grassland, f: portion of forest). Within one row,
mean values sharing a common uppercase letter, do not differ significantly
(<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, Duncan's multiple range test, df<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mtext>model</mml:mtext></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M32" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2).
Within one subunit (forest–steppe, subtaiga, taiga), mean values sharing a
common lowercase letter do not differ significantly (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, Duncan's
multiple range test, df<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>model</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.13295</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Subunit</oasis:entry>
         <oasis:entry colname="col2">forest–steppe</oasis:entry>
         <oasis:entry colname="col3">Subtaiga</oasis:entry>
         <oasis:entry colname="col4">Taiga</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3">MAP (mm yr<inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">266 <inline-formula><mml:math id="M37" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 62 Aa</oasis:entry>
         <oasis:entry colname="col3">339 <inline-formula><mml:math id="M38" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 70 Ba</oasis:entry>
         <oasis:entry colname="col4">357 <inline-formula><mml:math id="M39" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 69 Ca</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">256 <inline-formula><mml:math id="M41" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 63Ab</oasis:entry>
         <oasis:entry colname="col3">309 <inline-formula><mml:math id="M42" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 68Bbe</oasis:entry>
         <oasis:entry colname="col4">331 <inline-formula><mml:math id="M43" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 73Cb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">251 <inline-formula><mml:math id="M45" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 60Ac</oasis:entry>
         <oasis:entry colname="col3">294 <inline-formula><mml:math id="M46" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 60Bc</oasis:entry>
         <oasis:entry colname="col4">292 <inline-formula><mml:math id="M47" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 56Bc</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">253 <inline-formula><mml:math id="M49" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 62Abc</oasis:entry>
         <oasis:entry colname="col3">286 <inline-formula><mml:math id="M50" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 57Bd</oasis:entry>
         <oasis:entry colname="col4">290 <inline-formula><mml:math id="M51" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 53Bc</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">231 <inline-formula><mml:math id="M53" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 52Ad</oasis:entry>
         <oasis:entry colname="col3">305 <inline-formula><mml:math id="M54" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 72Be</oasis:entry>
         <oasis:entry colname="col4">333 <inline-formula><mml:math id="M55" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 80Cbd</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">227 <inline-formula><mml:math id="M57" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 54Ae</oasis:entry>
         <oasis:entry colname="col3">314 <inline-formula><mml:math id="M58" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 73Bb</oasis:entry>
         <oasis:entry colname="col4">339 <inline-formula><mml:math id="M59" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 80Cd</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3">MGST (<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) </oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">11.0 <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1Aa</oasis:entry>
         <oasis:entry colname="col3">11.7 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.3Ba</oasis:entry>
         <oasis:entry colname="col4">11.1 <inline-formula><mml:math id="M64" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4Ca</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">11.6 <inline-formula><mml:math id="M66" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.5Ab</oasis:entry>
         <oasis:entry colname="col3">11.7 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.7Ba</oasis:entry>
         <oasis:entry colname="col4">11.1 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7Ca</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">11.5 <inline-formula><mml:math id="M70" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2Ab</oasis:entry>
         <oasis:entry colname="col3">12.1 <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6Bb</oasis:entry>
         <oasis:entry colname="col4">11.5 <inline-formula><mml:math id="M72" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7Ab</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">12.1 <inline-formula><mml:math id="M74" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.3Ac</oasis:entry>
         <oasis:entry colname="col3">12.8 <inline-formula><mml:math id="M75" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4Bc</oasis:entry>
         <oasis:entry colname="col4">11.7 <inline-formula><mml:math id="M76" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6Cc</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">8.4 <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8Ad</oasis:entry>
         <oasis:entry colname="col3">7.9 <inline-formula><mml:math id="M79" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2Bd</oasis:entry>
         <oasis:entry colname="col4">8.9 <inline-formula><mml:math id="M80" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3Cd</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">8.4 <inline-formula><mml:math id="M82" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.9Ad</oasis:entry>
         <oasis:entry colname="col3">7.5 <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2Be</oasis:entry>
         <oasis:entry colname="col4">8.5 <inline-formula><mml:math id="M84" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3Ce</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col3">MGS-NDVI </oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.51 <inline-formula><mml:math id="M86" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Aa</oasis:entry>
         <oasis:entry colname="col3">0.60 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Ba</oasis:entry>
         <oasis:entry colname="col4">0.63 <inline-formula><mml:math id="M88" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06Ca</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.47 <inline-formula><mml:math id="M90" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Ab</oasis:entry>
         <oasis:entry colname="col3">0.55 <inline-formula><mml:math id="M91" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09Bb</oasis:entry>
         <oasis:entry colname="col4">0.55 <inline-formula><mml:math id="M92" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09Cb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.46 <inline-formula><mml:math id="M94" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Ab</oasis:entry>
         <oasis:entry colname="col3">0.54 <inline-formula><mml:math id="M95" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Bc</oasis:entry>
         <oasis:entry colname="col4">0.58 <inline-formula><mml:math id="M96" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09Cb</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.44 <inline-formula><mml:math id="M98" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Ac</oasis:entry>
         <oasis:entry colname="col3">0.51 <inline-formula><mml:math id="M99" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Bd</oasis:entry>
         <oasis:entry colname="col4">0.55 <inline-formula><mml:math id="M100" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Cc</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mtext>f</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.44 <inline-formula><mml:math id="M102" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06Ac</oasis:entry>
         <oasis:entry colname="col3">0.47 <inline-formula><mml:math id="M103" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07Be</oasis:entry>
         <oasis:entry colname="col4">0.51 <inline-formula><mml:math id="M104" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09Cd</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mtext>s</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.42 <inline-formula><mml:math id="M106" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07Ad</oasis:entry>
         <oasis:entry colname="col3">0.44 <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08Bf</oasis:entry>
         <oasis:entry colname="col4">0.47 <inline-formula><mml:math id="M108" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09Ce</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><caption><p id="d1e1520">Correlation matrix showing Pearson and multiple correlation
coefficients (<inline-formula><mml:math id="M109" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) between NDVI, climate, and terrain parameters for
different types of boreal forest and ecological subunits. (MAP: mean annual
precipitation, MGST: mean growing season temperature, MGS-NDVI: mean growing
season normalized differentiated vegetation index, MGSR: mean growing season
solar radiation input; subunits are TE: total ecological unit, LT: lower
treeline, UT: upper treeline, s: portion of grassland, f: portion of forest).
Bold letters highlight strong correlations between the different
parameters.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.90}[.90]?><oasis:tgroup cols="13">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Subunit</oasis:entry>
         <oasis:entry colname="col2">Forest-</oasis:entry>
         <oasis:entry colname="col3">Subtaiga</oasis:entry>
         <oasis:entry colname="col4">Taiga</oasis:entry>
         <oasis:entry colname="col5">Forest-</oasis:entry>
         <oasis:entry colname="col6">Subtaiga</oasis:entry>
         <oasis:entry colname="col7">Taiga</oasis:entry>
         <oasis:entry colname="col8">Forest-</oasis:entry>
         <oasis:entry colname="col9">Subtaiga</oasis:entry>
         <oasis:entry colname="col10">Taiga</oasis:entry>
         <oasis:entry colname="col11">Forest-</oasis:entry>
         <oasis:entry colname="col12">Subtaiga</oasis:entry>
         <oasis:entry colname="col13">Taiga</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">steppe</oasis:entry>
         <oasis:entry rowsep="1" colname="col3"/>
         <oasis:entry rowsep="1" colname="col4"/>
         <oasis:entry rowsep="1" colname="col5">steppe</oasis:entry>
         <oasis:entry rowsep="1" colname="col6"/>
         <oasis:entry rowsep="1" colname="col7"/>
         <oasis:entry rowsep="1" colname="col8">steppe</oasis:entry>
         <oasis:entry rowsep="1" colname="col9"/>
         <oasis:entry rowsep="1" colname="col10"/>
         <oasis:entry rowsep="1" colname="col11">steppe</oasis:entry>
         <oasis:entry rowsep="1" colname="col12"/>
         <oasis:entry rowsep="1" colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">MGS-NDVI/MAP </oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">MGS-NDVI/MGST </oasis:entry>
         <oasis:entry namest="col8" nameend="col10" align="center" colsep="1">MGS-NDVI/MGSR </oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.58</oasis:entry>
         <oasis:entry colname="col3">0.44</oasis:entry>
         <oasis:entry colname="col4">0.22</oasis:entry>
         <oasis:entry colname="col5">0.49</oasis:entry>
         <oasis:entry colname="col6"><bold>0.62</bold></oasis:entry>
         <oasis:entry colname="col7">0.55</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M112" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M113" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE g</oasis:entry>
         <oasis:entry colname="col2">0.57</oasis:entry>
         <oasis:entry colname="col3">0.38</oasis:entry>
         <oasis:entry colname="col4">0.19</oasis:entry>
         <oasis:entry colname="col5">0.49</oasis:entry>
         <oasis:entry colname="col6">0.55</oasis:entry>
         <oasis:entry colname="col7">0.57</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M114" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.17</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M116" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.53</oasis:entry>
         <oasis:entry colname="col3">0.33</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">0.56</oasis:entry>
         <oasis:entry colname="col6">0.52</oasis:entry>
         <oasis:entry colname="col7"><bold>0.60</bold></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M119" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.20</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M120" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.55</oasis:entry>
         <oasis:entry colname="col3">0.39</oasis:entry>
         <oasis:entry colname="col4">0.39</oasis:entry>
         <oasis:entry colname="col5"><bold>0.61</bold></oasis:entry>
         <oasis:entry colname="col6">0.52</oasis:entry>
         <oasis:entry colname="col7">0.46</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M123" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.30</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.34</oasis:entry>
         <oasis:entry colname="col3">0.11</oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5">0.31</oasis:entry>
         <oasis:entry colname="col6">0.59</oasis:entry>
         <oasis:entry colname="col7"><bold>0.71</bold></oasis:entry>
         <oasis:entry colname="col8">0.22</oasis:entry>
         <oasis:entry colname="col9">0.19</oasis:entry>
         <oasis:entry colname="col10">0.08</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.42</oasis:entry>
         <oasis:entry colname="col3">0.10</oasis:entry>
         <oasis:entry colname="col4">0.33</oasis:entry>
         <oasis:entry colname="col5">0.25</oasis:entry>
         <oasis:entry colname="col6">0.55</oasis:entry>
         <oasis:entry colname="col7"><bold>0.66</bold></oasis:entry>
         <oasis:entry colname="col8">0.15</oasis:entry>
         <oasis:entry colname="col9">0.17</oasis:entry>
         <oasis:entry colname="col10">0.08</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">MGS-NDVI/MAP; MGSR </oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">MGS-NDVI/MGST; MGSR </oasis:entry>
         <oasis:entry namest="col8" nameend="col10" align="center" colsep="1">MGS-NDVI/MAP; MGST </oasis:entry>
         <oasis:entry namest="col11" nameend="col13" align="center">MGS-NDVI/MAP; MGST; MGSR </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.58</oasis:entry>
         <oasis:entry colname="col3">0.47</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.51</oasis:entry>
         <oasis:entry colname="col6"><bold>0.62</bold></oasis:entry>
         <oasis:entry colname="col7">0.56</oasis:entry>
         <oasis:entry colname="col8"><bold>0.62</bold></oasis:entry>
         <oasis:entry colname="col9"><bold>0.71</bold></oasis:entry>
         <oasis:entry colname="col10"><bold>0.64</bold></oasis:entry>
         <oasis:entry colname="col11"><bold>0.63</bold></oasis:entry>
         <oasis:entry colname="col12"><bold>0.72</bold></oasis:entry>
         <oasis:entry colname="col13"><bold>0.65</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.58</oasis:entry>
         <oasis:entry colname="col3">0.41</oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
         <oasis:entry colname="col5">0.50</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
         <oasis:entry colname="col7">0.58</oasis:entry>
         <oasis:entry colname="col8"><bold>0.62</bold></oasis:entry>
         <oasis:entry colname="col9"><bold>0.67</bold></oasis:entry>
         <oasis:entry colname="col10"><bold>0.68</bold></oasis:entry>
         <oasis:entry colname="col11"><bold>0.63</bold></oasis:entry>
         <oasis:entry colname="col12"><bold>0.67</bold></oasis:entry>
         <oasis:entry colname="col13"><bold>0.68</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.53</oasis:entry>
         <oasis:entry colname="col3">0.36</oasis:entry>
         <oasis:entry colname="col4">0.52</oasis:entry>
         <oasis:entry colname="col5">0.59</oasis:entry>
         <oasis:entry colname="col6">0.52</oasis:entry>
         <oasis:entry colname="col7">0.60</oasis:entry>
         <oasis:entry colname="col8"><bold>0.60</bold></oasis:entry>
         <oasis:entry colname="col9">0.56</oasis:entry>
         <oasis:entry colname="col10"><bold>0.72</bold></oasis:entry>
         <oasis:entry colname="col11"><bold>0.63</bold></oasis:entry>
         <oasis:entry colname="col12">0.57</oasis:entry>
         <oasis:entry colname="col13"><bold>0.72</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.56</oasis:entry>
         <oasis:entry colname="col3">0.43</oasis:entry>
         <oasis:entry colname="col4">0.42</oasis:entry>
         <oasis:entry colname="col5">0.61</oasis:entry>
         <oasis:entry colname="col6">0.52</oasis:entry>
         <oasis:entry colname="col7">0.50</oasis:entry>
         <oasis:entry colname="col8"><bold>0.64</bold></oasis:entry>
         <oasis:entry colname="col9">0.58</oasis:entry>
         <oasis:entry colname="col10">0.57</oasis:entry>
         <oasis:entry colname="col11"><bold>0.65</bold></oasis:entry>
         <oasis:entry colname="col12">0.58</oasis:entry>
         <oasis:entry colname="col13">0.58</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.36</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.35</oasis:entry>
         <oasis:entry colname="col5">0.37</oasis:entry>
         <oasis:entry colname="col6"><bold>0.60</bold></oasis:entry>
         <oasis:entry colname="col7"><bold>0.71</bold></oasis:entry>
         <oasis:entry colname="col8">0.43</oasis:entry>
         <oasis:entry colname="col9"><bold>0.62</bold></oasis:entry>
         <oasis:entry colname="col10"><bold>0.74</bold></oasis:entry>
         <oasis:entry colname="col11">0.45</oasis:entry>
         <oasis:entry colname="col12"><bold>0.64</bold></oasis:entry>
         <oasis:entry colname="col13"><bold>0.75</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.42</oasis:entry>
         <oasis:entry colname="col3">0.21</oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5">0.30</oasis:entry>
         <oasis:entry colname="col6">0.56</oasis:entry>
         <oasis:entry colname="col7"><bold>0.66</bold></oasis:entry>
         <oasis:entry colname="col8">0.47</oasis:entry>
         <oasis:entry colname="col9">0.58</oasis:entry>
         <oasis:entry colname="col10"><bold>0.69</bold></oasis:entry>
         <oasis:entry colname="col11">0.47</oasis:entry>
         <oasis:entry colname="col12">0.59</oasis:entry>
         <oasis:entry colname="col13"><bold>0.69</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">MAP/MGSR </oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">MGST/MGSR </oasis:entry>
         <oasis:entry namest="col8" nameend="col10" align="center" colsep="1">MAP/MGST </oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M134" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M135" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16</oasis:entry>
         <oasis:entry colname="col4">0.05</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29</oasis:entry>
         <oasis:entry colname="col8">0.50</oasis:entry>
         <oasis:entry colname="col9">0.16</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TE<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M142" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
         <oasis:entry colname="col4">0.01</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula><bold>0.67</bold></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.42</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.26</oasis:entry>
         <oasis:entry colname="col8">0.47</oasis:entry>
         <oasis:entry colname="col9">0.00</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.28</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.16</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M151" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.46</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M152" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.47</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M153" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.24</oasis:entry>
         <oasis:entry colname="col8"><bold>0.63</bold></oasis:entry>
         <oasis:entry colname="col9">0.23</oasis:entry>
         <oasis:entry colname="col10">0.20</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LT<inline-formula><mml:math id="M154" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M155" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.37</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.29</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.41</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.58</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.44</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.23</oasis:entry>
         <oasis:entry colname="col8"><bold>0.65</bold></oasis:entry>
         <oasis:entry colname="col9">0.24</oasis:entry>
         <oasis:entry colname="col10">0.12</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.25</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col4">0.01</oasis:entry>
         <oasis:entry colname="col5">0.05</oasis:entry>
         <oasis:entry colname="col6">0.11</oasis:entry>
         <oasis:entry colname="col7">0.04</oasis:entry>
         <oasis:entry colname="col8">0.12</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11</oasis:entry>
         <oasis:entry colname="col10">0.18</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.20</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.10</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>
         <oasis:entry colname="col5">0.00</oasis:entry>
         <oasis:entry colname="col6">0.12</oasis:entry>
         <oasis:entry colname="col7">0.16</oasis:entry>
         <oasis:entry colname="col8">0.11</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>
         <oasis:entry colname="col10">0.17</oasis:entry>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e2884">For each of the three boreal forest types (forest–steppe, subtaiga, taiga),
first, the total area (total ecological unit, TE) is considered, and then the TE
is divided into forest (f) and grassland (s) and further separated into the
1 km boundary area of both treelines (LT, UT). This categorization leads to
18 ecological subunits. Multiple comparisons between means were calculated
with Duncan's multiple range test after testing for normal distribution using
SAS 9.4 software (SAS Institute Inc., Cary, North Carolina, USA). In addition
to the mean values, the standard deviation specifies the variation range of
the climate parameters for every subunit. Pearson and multiple correlation
coefficients between NDVI, MAP, MGST and MGSR were computed as a statistical
base for the interpretation of regression gradients. Due to the high amount
of random points, the performance of a <inline-formula><mml:math id="M168" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test was opposed because the
significance level (<inline-formula><mml:math id="M169" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value) is always <inline-formula><mml:math id="M170" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05. The correlations at the
level of the TE are used to analyze the controlling climatic conditions and
the environmental range with respect to the ecological distribution of the
entire type of boreal forest.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p id="d1e2912">Proportion of forest area (f) and total area of different boreal
forest types and corresponding treelines. (TE: total ecological unit, LT:
lower treeline, UT: upper treeline).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Area (km<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">TE</oasis:entry>
         <oasis:entry colname="col3">TE<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">%<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">LT</oasis:entry>
         <oasis:entry colname="col6">LT<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">%<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">UT</oasis:entry>
         <oasis:entry colname="col9">UT<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">%<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Forest–steppe</oasis:entry>
         <oasis:entry colname="col2">62 678</oasis:entry>
         <oasis:entry colname="col3">17 983</oasis:entry>
         <oasis:entry colname="col4">28.7</oasis:entry>
         <oasis:entry colname="col5">17 275</oasis:entry>
         <oasis:entry colname="col6">3894</oasis:entry>
         <oasis:entry colname="col7">22.5</oasis:entry>
         <oasis:entry colname="col8">3525</oasis:entry>
         <oasis:entry colname="col9">1822</oasis:entry>
         <oasis:entry colname="col10">51.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Subtaiga</oasis:entry>
         <oasis:entry colname="col2">87 648</oasis:entry>
         <oasis:entry colname="col3">38 747</oasis:entry>
         <oasis:entry colname="col4">44.2</oasis:entry>
         <oasis:entry colname="col5">7558</oasis:entry>
         <oasis:entry colname="col6">2135</oasis:entry>
         <oasis:entry colname="col7">28.2</oasis:entry>
         <oasis:entry colname="col8">3168</oasis:entry>
         <oasis:entry colname="col9">1341</oasis:entry>
         <oasis:entry colname="col10">42.3</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Taiga</oasis:entry>
         <oasis:entry colname="col2">31 710</oasis:entry>
         <oasis:entry colname="col3">17 088</oasis:entry>
         <oasis:entry colname="col4">53.9</oasis:entry>
         <oasis:entry colname="col5">1234</oasis:entry>
         <oasis:entry colname="col6">401</oasis:entry>
         <oasis:entry colname="col7">32.5</oasis:entry>
         <oasis:entry colname="col8">949</oasis:entry>
         <oasis:entry colname="col9">495</oasis:entry>
         <oasis:entry colname="col10">52.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sum</oasis:entry>
         <oasis:entry colname="col2">182 036</oasis:entry>
         <oasis:entry colname="col3">73 818</oasis:entry>
         <oasis:entry colname="col4">40.6</oasis:entry>
         <oasis:entry colname="col5">26 067</oasis:entry>
         <oasis:entry colname="col6">6430</oasis:entry>
         <oasis:entry colname="col7">24.7</oasis:entry>
         <oasis:entry colname="col8">7642</oasis:entry>
         <oasis:entry colname="col9">3658</oasis:entry>
         <oasis:entry colname="col10">47.9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e3177">Treeline distribution maps of Mongolia: <bold>(a)</bold> upper treeline,
<bold>(b)</bold> lower treeline, <bold>(c)</bold> vertical distance between upper and
lower treeline (a.a.t. <inline-formula><mml:math id="M178" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> area above the upper treeline, a.b.t. <inline-formula><mml:math id="M179" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> area
beneath the lower treeline, f.b.l.t. <inline-formula><mml:math id="M180" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> forest below the lower treeline,
a.s.l. <inline-formula><mml:math id="M181" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> above sea level).</p></caption>
        <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018-f04.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <title>Results</title>
<sec id="Ch1.S4.SS1">
  <title>Treeline distribution</title>
      <p id="d1e3235">The actual total area of Mongolian southern boreal forest was estimated at
73 818 km<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> (Dulamsuren et al., 2016). The proportion of forested areas
related to the total areas of the ecological units and subunits at the
treelines are given in Table 3. The approximate forest proportion for all
three ecological units is 40 % and the highest proportions occur in the
taiga and at all UTs. As expected for an ecotone, low forest densities occur in
the forest–steppe, but this is also true for LTs of all forest types. Figure 4
shows the forest distribution, the treelines, the vertical distance of the
forest belt and the area beyond the treelines in northern Mongolia. No
treeline continuance is indicated in the southern part of Mongolia due to
missing boreal forests in the desert. The treeline distribution in western
Mongolia generally corresponds to the results from Klinge et al. (2003), who
investigated forest distribution in the Altai Mountains based on topographic
maps.</p>
      <p id="d1e3247">Large areas above the UT occur in the MA, in the southern part of KaM and
east of Lake Khuvsgul. In the KeM, areas above the treeline in
<inline-formula><mml:math id="M183" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2500 m a.s.l. are small. The UTs show a general rise from
2200 m a.s.l. at the mountains in<?pagebreak page1326?> the north of Uvs Nur and from
1800 m a.s.l. south of Lake Baikal to 2700 m a.s.l. in the southern parts
of the MA and the KaM (Fig. 4a). At the southwestern side of the MA the UT
rises steeply from 2100 to 2600 m a.s.l. in a northeastern direction. In
the large mountain systems of the MA and KaM the UT stays in a relative
constant altitude between 2400 and 2600 m a.s.l. Northeast of KaM, the UT
has an explicit longitudinal direction and a UT depression of up to 800 m
occurs in the basin of the Selenga River. It was verified using the forest
cover change data of Hansen et al. (2013) that the extraordinarily low UT at
1800 m a.s.l. is not related to burnt forest. In large burnt areas, as they
occur for example in the northern KaM, it could be expected that the actual
treeline is shifted and may not represent the natural limit. However, small
forest patches that remain vital represent the potential forested area. Relic
forest stands provide valuable treeline values in the modeling process and
help to identify areas of human or natural forest disturbance (Klinge et al.,
2015; Miehe et al., 2003).</p>
      <p id="d1e3257">Large areas below the LT exist in the great basins and along the main river
valleys, but they are also present in the intermontane basins (Fig. 4b).
While the subtaiga is bordering the meadow–steppe, the lower treeline
seldom occurs in the taiga and forests extend continuously into the valley
bottom. Nevertheless, at smaller intermontane basins and valleys a lower
forest boundary is still detectable in the Mongolian taiga. Concordant with
the intensifying aridity, the LT is generally rising southward from 1000 to
2500 m a.s.l. in eastern Mongolia. The strong rise of the LT at the north-
and southwestern slopes of the Altai Mountains is due to the<?pagebreak page1327?> convective
rainfall in the western ranges and the eastward intensification of aridity in
the MA.</p>
      <p id="d1e3260">The forested area of central Mongolia, which remains between the large areas
beyond the treelines, is small from the top-down view. However, the spatial
expansion of forests has a particular vertical component (Fig. 4c). The
maximum altitudinal expansion of the forest belt of up to 1000 m vertical
distance occurs in the northwestern subtaiga and taiga. In the mountain
forest–steppe of the central MA, the western KaM and in the mountains at
Lake Khuvsgul, the altitudinal extent of forests reduces below 400 m. In the
southeastern part of the MA, the UT and LT converge, the forest belt
disappears, and the mountain steppe directly passes over into the alpine
belt. Due to the extraordinarily low UT, thin forest belts also occur in the
area northeast of the KaM and in the southwestern part of KeM. This can be
related to human impact by forest clearing in a more populated region.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p id="d1e3266">Mean annual precipitation (MAP) and mean air temperature during
the growing season (MGST) related to the mean growing season NDVI of random
points of different ecosystem units (values averaged for the investigation
period 1999–2013). The straight lines represent the linear
regressions between climate parameters and NDVI. The distribution curves
represent the frequency of random points (%). Dashed lines represent
forest values (f), continuous lines represent grassland values (s), yellow
colors represent lower treeline values (LT), green color represents upper
treeline values (UT) and black colors represent the total ecological unit
values (TE). Vertical grey dashed lines indicate the deduced minimum values
for tree growth.</p></caption>
          <?xmltex \igopts{width=489.387402pt}?><graphic xlink:href="https://bg.copernicus.org/articles/15/1319/2018/bg-15-1319-2018-f05.png"/>

        </fig>

      <p id="d1e3275">Most precipitation is combined with westerlies, which produce humid
condition at the western side of the Altai Mountains. In the rain shadow at
the eastern side in the central MA and in the Valley of the Great Lakes dry
conditions occur. This causes an extraordinarily high LT and the small vertical
extent of the forest belt in this region (Klinge et al., 2003). The southern
side of the KaM is still arid, but its northern part and particularly the KeM
receive more precipitation coming from the northeast along the Selenga river
depression. The tree species composition of the different<?pagebreak page1328?> boreal forest types
and subunits is given in Fig. S3 in the Supplement.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <title>Specific climate parameters of boreal forest types</title>
      <p id="d1e3284">The zonal statistics for the climate parameters and MGS-NDVI in different
boreal forest types are given in Table 1 and the correlation matrix among
MGS-NDVI, MAP, MGST and MGSR is presented in Table 2. Figure 5 illustrates
the frequency distributions and linear regressions between these parameters.
The average MAP of the TE forests generally rises from 266 mm yr<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in
the forest–steppe to 339 mm yr<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the subtaiga and
357 mm yr<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the taiga (Table 1). Due to the expected hydrological
limitation, the MAP at the LT is lower than the respective average of the TE.
This is also true for all forest subunits at the UTs, where the MAP is about
30 mm yr<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> lower than the mean of the TE forests. This
phenomenon is due to the lower temperatures in higher mountains, which reduce
the evapotranspiration pressure. Moreover, the average MAP at the UT of the
forest–steppe is even lower than at the LT. However, sites with extremely low
MAP, below 190 mm yr<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 5a), receive additional soil water supply.
The grassland has predominantly lower average values of MAP than the forest
of the corresponding ecological unit. This general relation inverts at the
UTs of the subtaiga and taiga, while there are nearly equal values at the LTs
of the forest–steppe and taiga.</p>
      <?pagebreak page1329?><p id="d1e3347">The average MGST of any TEs are very similar between 11.0 and
11.7 <inline-formula><mml:math id="M189" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. However, the maximum of 16 <inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the taiga is
lower than in the forest–steppe and subtaiga where it is up to 18 <inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C
(Fig. 5b). While all average values of MGST at the LTs equate to the TE
values, the UTs show frequency maxima of the MGST between 7.5 and
8.9 <inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Table 1). With the exception of the UT in the subtaiga and
taiga, in all subunits, the grassland has similar or slightly higher
temperatures as the forest of the same unit. The phenomenon of an inversion
of the general relation at the UT of the subtaiga and taiga, which occurs
simultaneously to the MAP, is due to a change in grassland vegetation. Alpine
shrub and meadow vegetation are supported by the cold and more humid climate
and replace the mountain meadow steppe. The MGST of all TEs and LTs shows
similar frequency distributions with wide value ranges and slightly higher
values at the LTs (Fig. 5b). However, the narrow and uniform frequency
distributions of all UTs indicate that the MGST is the main controlling
parameter for forest distribution at the UT with an absolute minimum value of
6 <inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. A considerable portion of MGSTs at the UTs occur between 10
and 13 <inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, which is marginal in the forest–steppe and subtaiga but
becomes more important in the taiga.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <title>Relationship between climate and NDVI in different types of boreal
forest</title>
      <p id="d1e3411">The average values of MGS-NDVI of Table 1 show only small variation between
the TE and the treeline subunits. The values rise from forest–steppe to taiga
and are higher in the forested area compared to the grassland of the same
subunit. The inverse relation between forest and grassland of the same
subunit, which occur for MAP and MGST at the UT of subtaiga and taiga, does
not exist for the NDVI. The frequency distributions of MSG-NDVI for the
subunits in the forest–steppe are nearly similar but clearly separated in the
other types of boreal forest (Fig. 5c). The UTs have the lowest and the TEs
have the highest NDVI values, which is generally due to less favorable
ecological site conditions at the forest boundaries. In Table 2 most of the
TEs show good correlations between NDVI and the climate parameters (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.44</mml:mn></mml:mrow></mml:math></inline-formula>–0.71), with an obvious exception of the MAP and the taiga. Linear
regressions of the terrain parameter MGSR are omitted in Fig. 5, because MGSR
is only weakly correlated to the NDVI in all subunits.</p>
      <p id="d1e3426">In accordance with the correlation coefficients given in Table 2, the linear
regressions between MGS-NDVI, MAP and MGST (Fig. 5) illustrate the
relationship between the environmental conditions and the types of boreal
forest and their respective treelines. The regression trends indicate a
potential susceptibility of the ecological unit to climate changes. There are
mostly low correlations between MGS-NDVI and MAP at most subunits. The only
exceptions are the TE and the LT of the forest–steppe and particular the LT
in the forest subunit of the taiga. However, the gradients of linear
regression indicate potential relations between NDVI and MAP for all LTs and
particularly for all subunits in the forest–steppe (Fig. 5a). Both the
correlation values and the linear regressions between MGS-NDVI and MGST
(Fig. 5b) indicate strong dependencies for all subunits; the UT of the
forest–steppe is an exception from this rule, since only weak correlation was
found. However, the steep gradient of the linear regressions at all UTs
accentuates the temperature as the main limiting parameter with increasing
influence towards the taiga. Presupposing that at least precipitation,
temperature and solar radiation input control the vitality of the vegetation
and the treeline distribution, but with different intensities for every
subunit, the multi-regression correlations between NDVI and MAP, MGST and
MGSR are generally higher. However, the combination of the two climate
parameters MAP and MGST shows the best correlations with the NDVI, while the
combination of all three parameters only leads to a marginal improvement
(Table 2).</p>
      <p id="d1e3429">The high positive correlations between MAP and MGST and the high negative
correlation between MGST and MGSR in the TE and at the LT of the
forest–steppe indicate a specific environmental interrelation and potential
autocorrelation effects between these two climate parameters in the semiarid
climate zone. This is due to the fact that in the forest–steppe the
increasing atmospheric vapor pressure deficit, which results from higher
temperatures, must be compensated for by more precipitation, on the one hand, and
by less solar radiation input, on the other hand. However, the weak
correlation between MAP and MGST in all subunits of the subtaiga and taiga
indicates a climate-independent factor. This is notably attributable to
permafrost distribution as a supplemental ecological parameter, which is not
included in our regression models but modifies the soil hydrological regime.
Regression gradients between MAP and MGST of the TEs change from the strong
positive gradient in the forest–steppe into a less precipitation-dependent
gradient in the subtaiga and then into a negative gradient in the taiga
(Fig. 5d). The rising MAP produces a more humid climate in the taiga and
reduces the dependency of vegetation vitality in the TE on precipitation
limits. Low temperatures as a zonal climatic parameter become a dominating
limit for tree development towards higher latitudes. Concordant with the
transformation of ecological conditions, the physiological constitution of
individual trees and the tree species composition change from
drought-adapted individuals to low-temperature-adapted but more drought-sensitive
individuals.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <title>Discussion</title>
      <p id="d1e3440">Trees grow and exist for several decades or centuries and establish an
autochthonous microclimate below the canopy; thus, forests represent
mean climatic conditions of a longer period. In contrast, the vitality of
annual or perennial grasses and herbs of the steppes and meadows respond to
interannual variation in climate conditions, and the vegetation density
represents small-scale periods (Bat-Oyun et al., 2016). The treelines
represent boundaries of forest distribution at the ecological limits and it
is hypothesized that changes in climate or environmental conditions at these
boundaries lead to an alteration of the treelines. On the one hand, forest
expansion needs a longer period of favorable conditions for seed formation,
as well as seedling and sapling establishments. The requirements can be
different from those of mature trees. On the other hand, declines in the
forest area can be induced by short hazardous events like drought, freeze,
calamities or fire. Human impact on the forest area since prehistoric times
is another important influence on the actual treeline (Klinge et al., 2015;
Miehe et al., 2003). The treeline might be shifted as the result of
climate changes with a certain time lag. Although the treeline may not
directly correspond to the current climatic envelope for forest, it
represents at least the minimum potential forest area. In view of the
ecological relations, the spatial accuracy of the actual database, and the
regional scale of the investigation, it is reasonable to calculate<?pagebreak page1330?> average
values for a longer period to receive representative parameters.</p>
      <p id="d1e3443">The lower boundaries of the distribution curves (Fig. 5a) and the standard
deviation of MAP (Table 1) indicate that an approximate MAP of
190 mm yr<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> can be regarded as the minimum amount of direct rainfall
for tree development in Mongolia. Dulamsuren et al. (2010a) reported an
annual precipitation between 230 and 400 mm for larch trees (<italic>Larix sibirica</italic>) at the lower forest boundary in northern and central Mongolia. For
the northern Tian Shan, Klinge et al. (2015) state a minimum MAP of
250 mm for the distribution limit of spruce trees (<italic>Picea schrenkiana</italic>). Sites with lower MAP values, occurring in parts of the
forest–steppe, are favored by additional soil water supply from upslope
areas or melting permafrost ice, which can support tree growth under these dry
conditions where rainfall is insufficient (Dulamsuren et al., 2014). This
explains why Dulamsuren et al. (2014) found coniferous forests in regions
with an annual precipitation of around 120 mm in the MA. The annual amount
of precipitation is highly varying in the steppes region and the permafrost
layer can bridge drought years by accumulating soil water in the soil ice
reservoir during moist years (Sugimoto et al., 2002). The vegetation vitality
as expressed by the NDVI is generally lower in the forest–steppe than in the
subtaiga and the taiga. This fact reflects the extreme ecological limitations
of forests in the forest–steppe ecotone. Recently emerging margins of dead
trees around the forest islands are apparently induced by the trend in
increasing temperature, insufficient precipitation and missing soil water
storage from disappearing discontinuous permafrost.</p>
      <p id="d1e3464">The proportion of open grassland area to forest islands in the southern
forest–steppe changes towards northern latitudes with the expansion of forest
area. In the large valleys of the taiga and subtaiga in northern Mongolia,
where trees are apparently less limited by water shortage, a LT does not
exist. However, inside the dense woodland of the taiga, the grassland occurs
in intramontane basins (Dulamsuren et al., 2005; Gunin et al., 1999;
Hilbig, 1995). The rain shadow of the surrounding mountains keeps
precipitation extraordinarily low and thus a LT is present. The high
correlation of the detected LTs to MAP in the taiga suggests a primarily
drought-induced and not anthropogenic position of the LT. This finding points
to a high vulnerability of the trees at the taiga's LT to climate warming.
This conclusion is supported by ecophysiological, dendrochronological and
palynological studies from the LT of the mountain taiga of western Khentei
(Dulamsuren et al., 2009a, 2010b; Schlütz et al., 2008).</p>
      <p id="d1e3467">There is a close correlation between NDVI and MGST at the UT in the taiga and
the subtaiga (Table 2). At the UT of the forest–steppe, precipitation is an
additional limiting factor at higher elevations. While a MGST of
6 <inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C tends to be the general minimum temperature for tree growth in
the study area, at some places at the UT of the subtaiga, trees occur at MGST
as low as 4 <inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 5b). Here, the low MGST is associated with high
MAP of roughly 350 mm yr<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 5d). In the low temperature range
between 6 and 8 <inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the linear regressions between MAP and MGST at the
UT show that different MAP conditions exist simultaneously for the different
types of boreal forest (Fig. 5d). In the forest–steppe at 6 <inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C MGST,
MAP is approximately 200 mm yr<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, whereas it amounts to
320 mm yr<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the subtaiga and 400 mm yr<inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the taiga. This
combination between both low precipitation and temperature is extreme at the
LT of the forest–steppe. In the range of 6–8 <inline-formula><mml:math id="M205" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C MGST, MAP tends to
be below the tree growth minimum of 190 mm yr<inline-formula><mml:math id="M206" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which emphasizes
again the impact of permafrost, as the permafrost is also associated with low
temperatures.</p>
      <p id="d1e3577">Differing frequency distributions show that the NDVI at the UT and LT is
generally lower than in the TEs of the taiga and the subtaiga, except for the
forest–steppe (Fig. 5c). The low NDVI values indicate low vegetation
vitality. This suggests that forests composing the treelines in the taiga and
the subtaiga and the complete forest–steppe ecotone are exposed to
physiological stress. Forests in the taiga receive generally more
precipitation and thus have developed higher stand densities and are also
home to more water-demanding dark taiga tree species like <italic>Abies sibirica</italic> and <italic>Pinus sibirica</italic> (Dulamsuren, 2004; Dulamsuren et al.,
2010a). Reports of increased drought stress, reduced stemwood formation,
reduced forest regeneration and increased tree mortality, especially in the
<italic>Larix sibirica-</italic>dominated forest–steppe ecotones of inner Asia,
support this conclusion (Dulamsuren et al., 2010a, b, 2013; Liu et al.,
2013).</p>
      <p id="d1e3589">Recent climate change scenarios predict a temperature increase in Mongolia of
up to 5 <inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C until the end of the century (Ministry of the Environment
Japan, 2015), while projections for precipitation trends show spatial
differences between decreasing precipitation amounts in the north and an
increase in the southern parts (Sato et al., 2007). In general, climate
modeling also suggests a future increase of summer droughts and a decrease
in soil moisture (Sato et al., 2007). Higher temperatures yield higher
evapotranspiration and hence to less relative humidity, even if a slight
increase of precipitation simultaneously occurs. The consequences of
increasing aridity and an increasing atmospheric vapor deficit are a
reduction in tree vitality, which finally might lead to widely increased tree
mortality and forest area loss in the forest–steppe, subtaiga and taiga. In
addition, this trend could promote of <italic>Pinus sylvestris</italic> in parts of
the <italic>Larix sibirica</italic>-dominated forest–steppe (Dulamsuren et al.,
2009b).</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusion</title>
      <p id="d1e3613">Using high-resolution remote sensing and climatic data allows the
characterization of the climatic envelope of the three types of boreal forest in Mongolia as well as identification of hotspots of additional natural or anthropogenic factors. It was
shown that the NDVI distribution between forest and grassland of the same
ecological subunits differs, which is<?pagebreak page1331?> mainly controlled by different
photosynthetic activity, vegetation density and seasonal growth. However,
with respect to the small-scale variation of the vegetation and the
resolution of the NDVI data, a spatial overlap producing mixed data values
cannot be totally avoided. The ecological relationship between climatic
parameters and forest or treeline distribution was verified by the NDVI as
an indicator for vegetation vitality. It can be assumed that local site
conditions like permafrost distribution, soil parameters and hydrology may
also play an important role in vegetation vitality. The statistical results
on geoecological relations presented in this work are suited to be used for
modeling of potential past, current and future forest areas.</p>
      <p id="d1e3616">The observed recent increase of forest greening indices from remote sensing
data and stemwood increment found in several places by Poulter et al. (2013)
is combined with increasing summer temperature but also promoted by additional
soil water supply from melting permafrost. However, disappearing permafrost
and increasing drought stress, as projected by climate modeling, may cause
dramatic loss of forest cover in future. The widespread occurrence of dead tree
margins around forest islands shows that this trend is already ongoing as the
result of climate warming. Trees suffering from drought stress are more
vulnerable to insect calamities. The impact of forest fires also increases
under dryer conditions. For all LTs and for the TE of the forest–steppe,
increasing temperatures are likely to result in increased tree mortality, the
reduction of forested area and shifting of the LTs.</p>
      <p id="d1e3619">Research on NDVI trends and climate development in Mongolia is often lacking
detailed spatial separation of the different ecological units. Every
vegetation unit has its own temporally defined ecological environment, which
produces different spatial and temporal gradients in remote sensing-derived
vegetation indices. Changes in climate conditions will lead to more or less
vitality in the limited physiological range of the individual trees, which
are adapted to recent local climate and soil conditions. Forest dynamics and
forest development from the biological point of view mean change in the
vegetation structure and biodiversity, which cannot be exclusively modeled
by greening indices (Busing and Mailly, 2004; Miao et al., 2015; Poulter et
al., 2013). It was shown that the creation of detailed landscape
stratification and of small-scale ecological classifications could assist in
incorporating spatial and temporal transitions of vegetation units in
environmental modeling.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e3626">The GIS data for the upper and lower treeline as well as the
areas above and below the treeline are provided in the Supplement of this
article.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3629">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-15-1319-2018-supplement" xlink:title="zip">https://doi.org/10.5194/bg-15-1319-2018-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="competinginterests">

      <p id="d1e3638">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3644">The authors would like to thank the US Geological Survey and VITO, Belgium,
for making the satellite data freely available for scientific research. We
acknowledge support by the Open Access Publication Funds of Göttingen
University. We very specially thank Jan Degener for his scientific support in
data processing and intensive discussion. We also thank Udo Schickhoff and an
anonymous referee for the valuable comments which improved the paper.</p><p id="d1e3646">Funded by the Deutsche Forschungsgemeinschaft (DFG) – Projektnummern FR
877/32 and DU 1145/4-1.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?> This open-access
publication was funded<?xmltex \hack{\\}?>by the University of Göttingen.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>Edited by: Jochen Schöngart<?xmltex \hack{\newline}?> Reviewed by:
Udo Schickhoff and one anonymous referee</p></ack><ref-list>
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    <!--<article-title-html>Climate effects on vegetation vitality at the treeline of boreal forests of Mongolia</article-title-html>
<abstract-html><p>In northern Mongolia, at the southern boundary of the Siberian boreal forest
belt, the distribution of steppe and forest is generally linked to climate
and topography, making this region highly sensitive to climate change and
human impact. Detailed investigations on the limiting parameters of forest
and steppe in different biomes provide necessary information for
paleoenvironmental reconstruction and prognosis of potential landscape
change. In this study, remote sensing data and gridded climate data were
analyzed in order to identify main distribution patterns of forest and steppe
in Mongolia and to detect environmental factors driving forest development.
Forest distribution and vegetation vitality derived from the normalized
differentiated vegetation index (NDVI) were investigated for the three types
of boreal forest present in Mongolia (taiga, subtaiga and forest–steppe),
which cover a total area of 73&thinsp;818&thinsp;km<sup>2</sup>. In addition to the
forest type areas, the analysis
focused on subunits of forest and nonforested areas at the upper and lower
treeline, which represent ecological borders between vegetation types.
Climate and NDVI data were analyzed for a reference period of 15 years from
1999 to 2013.</p><p>The presented approach for treeline delineation by identifying representative
sites mostly bridges local forest disturbances like fire or tree cutting.
Moreover, this procedure provides a valuable tool to distinguish the
potential forested area. The upper treeline generally rises from 1800&thinsp;m
above sea level (a.s.l.) in the northeast to 2700&thinsp;m&thinsp;a.s.l. in the south.
The lower treeline locally emerges at 1000&thinsp;m&thinsp;a.s.l. in the northern taiga
and rises southward to 2500&thinsp;m&thinsp;a.s.l. The latitudinal gradient of both
treelines turns into a longitudinal one on the eastern flank of mountain
ranges due to higher aridity caused by rain-shadow effects. Less productive
trees in terms of NDVI were identified at both the upper and lower treeline
in relation to the respective total boreal forest type area. The mean growing
season temperature (MGST) of 7.9–8.9&thinsp;°C and a minimum MGST of
6&thinsp;°C are limiting parameters at the upper treeline but are
negligible for the lower treeline. The minimum of the mean annual
precipitation (MAP) of 230–290&thinsp;mm&thinsp;yr<sup>−1</sup> is a limiting parameter at the
lower treeline but also at the upper treeline in the forest–steppe ecotone.
In general, NDVI and MAP are lower in grassland, and MGST is higher compared
to the corresponding boreal forest. One exception occurs at the upper
treeline of the subtaiga and taiga, where the alpine vegetation consists of
mountain meadow mixed with shrubs. The relation between NDVI and climate data
corroborates that more precipitation and higher temperatures generally lead
to higher greenness in all ecological subunits. MGST is positively correlated
with MAP of the total area of forest–steppe, but this correlation turns
negative in the taiga. The limiting factor in the forest–steppe is the
relative humidity and in the taiga it is the snow cover distribution. The
subtaiga represents an ecological transition zone of approximately
300&thinsp;mm&thinsp;yr<sup>−1</sup> precipitation, which occurs independently from the MGST.</p><p>Since the treelines are mainly determined by climatic parameters, the rapid
climate change in inner Asia will lead to a spatial relocation of tree communities, treelines and
boreal forest types. However, a direct deduction of future tree vitality,
forest composition and biomass trends from the recent relationships between
NDVI and climate parameters is challenging. Besides human impact, it must
consider bio- and geoecological issues like, for example, tree rejuvenation,
temporal lag of climate adaptation and disappearing permafrost.</p></abstract-html>
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