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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" dtd-version="3.0">
  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-15-867-2015</article-id><title-group><article-title>Tropospheric vertical column densities of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over
managed dryland ecosystems (Xinjiang, China): MAX-DOAS measurements
vs. 3-D dispersion model simulations based on laboratory-derived NO emission
from soil samples</article-title>
      </title-group><?xmltex \runningtitle{Tropospheric vertical column densities of {$\chem{NO_{2}}$}}?><?xmltex \runningauthor{B.~Mamtimin et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Mamtimin</surname><given-names>B.</given-names></name>
          <email>buhalqem.mamtimin@mpic.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Behrendt</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Badawy</surname><given-names>M. M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Wagner</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Qi</surname><given-names>Y.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Wu</surname><given-names>Z.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Meixner</surname><given-names>F. X.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1605-587X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Max Planck Institute for Chemistry, Mainz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geography, Faculty of Arts, Cairo,  Ain-Shams University, Egypt</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>International Cooperation Department, National Center for Climate Change Strategy
<?xmltex \hack{\newline}?>and International Cooperation, Beijing, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute of Geography Science, Urumqi, Xinjiang Normal University, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">B. Mamtimin (buhalqem.mamtimin@mpic.de)</corresp></author-notes><pub-date><day>23</day><month>January</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>2</issue>
      <fpage>867</fpage><lpage>882</lpage>
      <history>
        <date date-type="received"><day>16</day><month>April</month><year>2014</year></date>
           <date date-type="rev-request"><day>28</day><month>July</month><year>2014</year></date>
           <date date-type="rev-recd"><day>2</day><month>December</month><year>2014</year></date>
           <date date-type="accepted"><day>16</day><month>December</month><year>2014</year></date>
           
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015.html">This article is available from https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015.html</self-uri>
<self-uri xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015.pdf">The full text article is available as a PDF file from https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015.pdf</self-uri>


      <abstract>
    <p>We report on MAX-DOAS observations of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over an oasis–ecotone–desert
ecosystem in NW China. There, local ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations
originate from enhanced biogenic NO emission of intensively managed soils.
Our target oasis “Milan” is located at the southern edge of the Taklimakan
desert, very remote and well isolated from other potential anthropogenic and
biogenic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> sources. Four observation sites for MAX-DOAS measurements
were selected, at the oasis centre, downwind and upwind of the oasis, and in
the desert. Biogenic NO emissions in terms of (i) soil moisture and (ii)
soil temperature of Milan oasis  (iii) different land-cover type sub-units
(cotton, Jujube trees, cotton/Jujube mixture, desert) were quantified by
laboratory incubation of corresponding soil samples. Net potential NO fluxes
were up-scaled to oasis scale by areal distribution and classification of
land-cover types derived from satellite images using GIS techniques. A
Lagrangian dispersion model (LASAT, Lagrangian Simulation of
Aerosol Transport) was used to calculate the dispersion of soil emitted NO
into the atmospheric boundary layer over Milan oasis. Three-dimensional (3-D) NO
concentrations (30 m horizontal resolution) have been converted to 3-D  <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, assuming photostationary state
conditions. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities were simulated by suitable vertical
integration of modelled 3-D <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at those downwind and
upwind locations, where the  MAX-DOAS measurements were performed.
Downwind–upwind differences (a direct measure of Milan oasis' contribution
to the areal increase of ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration) of measured and
simulated slant (as well as vertical) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities show
excellent agreement. This agreement is considered as the first successful
attempt to prove the validity of the chosen approach to up-scale laboratory-derived biogenic NO fluxes to ecosystem field conditions, i.e. from the
spatial scale of a soil sample (cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to the size of an entire
agricultural ecosystem (km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Emissions of nitric oxide (NO) are important in regulating chemical
processes of the atmosphere (Crutzen, 1987). Once emitted into the
atmosphere, NO reacts rapidly with ozone (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to nitrogen dioxide
(NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> which, under daylight conditions, is photolysed back to NO
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>≤</mml:mo><mml:mn>420</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>). For that reason, NO and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are usually
considered as <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>). Ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a
key catalyst in atmospheric chemistry: during the atmospheric oxidation of
hydrocarbons its ambient concentration determines whether ozone (O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is
photochemically generated or destroyed in the troposphere (Chameides et al.,
1992). While the combustion of fossil fuels (power plants, vehicles) is
still the most important global <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> source (approx. 25 Tg a<inline-formula><mml:math 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
terms of mass of N), biogenic NO emissions from soils have been estimated to
range between 6.6 and 9.6 Tg a<inline-formula><mml:math 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> (Denman et al., 2007). The
considerable uncertainty about the range of soil biogenic NO emissions stems
from widely differing estimates of the NO emission. Moreover, the
uncertainties in the NO emission data from semi-arid, arid  and hyper-arid
regions are very large (mainly due to a very small number of measurements
being available). These ecosystems, however, are considered to contribute
more than half to the global soil NO source (Davidson and Kingerlee, 1997),
and make up approx. 40 % of planet Earth's total land surface (Harrison and
Pearce, 2000).</p>
      <p>Production (and consumption) of NO in the soil depends mainly on soil
microbial activity and is mainly controlled by soil temperature, soil
moisture  and soil nutrient concentration (Conrad, 1996; Meixner and Yang
2006; Ludwig et al., 2001). Any natural or anthropogenic action that results
in   input  of nutrients (e.g. by fertilizer application) and/or
modification of soil nutrient turnover rates has a substantial effect on
soil biogenic NO emission. The rapid (economically driven) intensification
of arid agriculture (oasis agriculture), particularly by enlargement of the
arable area and by enhancement of necessary irrigation leads inevitably to
the increase of soil biogenic NO emissions. Since those microbial processes
which underlay NO production and NO consumption in soils are confined to the
uppermost soil layers (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn>0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> depth, Rudolph et al., 1996), the
most direct method for their characterization and quantification is usually
realized by laboratory incubation of soil samples; corresponding
measurements result in the determination of so-called net potential NO
fluxes, which are explicit functions of soil moisture, soil temperature, and
ambient NO concentration (Behrendt et al., 2014).</p>
      <p>Tropospheric NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column densities can be retrieved from satellite
observations using differential optical absorption spectroscopy (DOAS) (e.g.
Leue et al., 2001; Richter and Burrows, 2002; Beirle et al., 2004).
Identification and quantification of the sources of tropospheric NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> column densities are important for monitoring air quality, for
understanding radiative forcing and its impact on local climate.
Ground-based Multi-Axis Differential Optical Absorption Spectroscopy
(MAX-DOAS) is a novel measurement technique (Hönninger et al., 2004)
that represents a significant advantage over the well-established zenith
scattered sunlight DOAS instruments, which are mainly sensitive to
stratospheric absorbers. From <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> slant column densities, retrieved
from measurements at different elevation angles, information about
tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles and/or tropospheric vertical column densities
can be obtained (e.g. Sinreich et al., 2005; Wittrock et al., 2004; Wagner
et al., 2011).</p>
      <p>In this paper we concentrate (a) on ground-based MAX-DOAS measurements of
slant and vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities over an intensively used oasis
of the Taklimakan desert (NW China), (b) on biogenic NO emissions derived
from laboratory incubation measurements on oasis soil samples, (c) on
up-scaling of the laboratory results to the oasis level, (d) calculation of
atmospheric boundary layer <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations by suitable <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>
conversion and 3-D dispersion modelling, and (e) on
simulating slant and vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities from the calculated
3-D-<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distributions by integration along the MAX-DOAS light path. The
final aim is comparison and discussion of the results obtained under (a) and
(e).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p>Satellite map (Landsat ETM<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>; 2011) of Milan oasis, Xinjiang,
NW China (The map has an area of 338 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The white circles show the
sites of in situ  measurements: natural forest (1), desert (2), jujube (3),
hotel/oasis station (4) and cotton field (5).</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <title>Research area</title>
      <p>After two “searching field campaigns” (2008 and 2009) in the Xinjiang Uighur
Autonomous Region of NW China, the oasis “Milan” has been identified as
the target oasis for the presented research. The contemporary oasis Milan,
identical to the ancient Silk Road post “Miran”, belongs to the county
“Ruoqiang” of the Xinjiang province and is located in the southern
Taklimakan Desert on the foot of the Altyn-Tagh Mountains (39.25<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 88.92<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 998 m a.s.l).
In the early 1950s, the delta-shaped
oasis (see Fig. 1) was   established as an agricultural co-operative
“state farm” (<italic>Xinjiang Production and Construction Crop</italic>) and covers nowadays about 100 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
Milan oasis can be
geomorphologically classified as a “mountain–oasis–ecotone–desert system
(MOED system)” consisting of Gobi (gravel) desert, a salty transition zone
surrounding the oasis, and dryland farming with irrigation. The latter
consists only of two crops, cotton and jujube trees (<italic>Ziziphus Jujuba</italic> L., “red date”), which are
planted, irrigated  and fertilized following standardized protocols and
growing on rectangular fields (approx. 10 ha) of pure cultures or mixtures
of it. The general energy supply of Milan oasis is entirely provided by
nearby hydropower plants, and battery-powered trikes dominate the local
public and private transport. Consequently, anthropogenic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions
of Milan oasis are considered as very low, if not negligible. Beyond that,
Milan oasis is isolated by the desert from neighbouring oases by 80 to 400 km. Therefore, the dominant <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> source of Milan oasis are biogenic NO
emissions from its intensively managed crop fields; the oasis can be
undoubtedly considered as a large “hotspot in the middle of nothing”. Given
this very specific situation, it is certainly justified to assume that (a)
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in the atmospheric boundary layer over Milan oasis
are only caused by the oasis itself, and (b) free tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentrations, which are usually due to large-scale tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
advection, are negligible.</p>
      <p>According to the Köppen classification (Köppen, 1931; Kottek et al., 2006),
Milan oasis owns a cold desert climate (BWk), which is dominated by long hot
summers (30 years' mean: 29 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and cold winters (30 years' mean:
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Mean annual precipitation amounts 28.5 mm, mean annual
evaporating capacity is 2920 mm, mean wind direction is NE to E, and mean
wind speed is 2.7 m s<inline-formula><mml:math 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>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>In situ measurements</title>
      <p>A field campaign was   performed at Milan oasis, from 24 May to 26 June,
2011. A total of 32 individual MAX-DOAS measurements (approx. 20 min) were performed by two Mini-MAX-DOAS instruments (partially simultaneously)
on 21 days during the 2011 campaign at the NE natural forest site (1),
desert site (2), jujube site (3) and hotel station in Milan oasis centre
(4). Accompanying data of wind direction, wind speed, air temperature,
barometric pressure, global and net radiation were observed at sites
(1)–(5) at 1.8 m above ground (at NE natural forest: 11 m; at hotel
station: 23 m). Soil temperature (at 0.05 m depth)  as well as rainfall
(amount and intensity) were recorded at all sites in 2011.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <?xmltex \opttitle{Ground-based measurements of vertical column densities of
{$\chem{NO_{2}}$}}?><title>Ground-based measurements of vertical column densities of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p>MAX-DOAS  observes
scattered sunlight under various (mostly slant) elevation angles. From
combinations of the retrieved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> slant column densities (SCDs)
obtained at different elevation angles, information on the vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
profile and/or on the corresponding vertical column density (VCD) can be
obtained (e.g. Hönninger et al., 2002; Sinreich et al., 2005; Wittrock
et al., 2004; Wagner et al., 2011). Spectral calibration of the MAX-DOAS
instruments was performed by fitting a measured spectrum to a convoluted
solar spectrum based on a high-resolution solar spectrum (Kurucz et al.,
1984). Several trace gas absorption cross-sections of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 294 K (Vandaele et al., 1996),
H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O at 290 K (Rothman et al., 2005), Glyoxal
at 296 K (Volkamer et al., 2005), O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 243 K (Bogumil et al., 2003)
and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> at 286 K (Hermans et al., 1999) were convolved to match the
resolution of the instrument and then used in the spectral analysis using a
wavelength range of 420–450 nm (also a Ring spectrum was included in the
fitting process). The output of the spectral analysis is the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> SCD,
which represents the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration integrated along the
corresponding light paths through the atmosphere.</p>
      <p>Since a spectrum measured in the zenith direction (a so-called Fraunhofer
reference spectrum) is included in the fit process to remove the strong
Fraunhofer lines, the retrieved <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> SCD actually represents the
difference between the SCDs of the measurement and the Fraunhofer reference
spectrum; it is usually referred to as differential SCD or DSCD<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>meas</mml:mtext></mml:msub></mml:math></inline-formula>.
The tropospheric DSCD for the elevation angle <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> can be derived from
MAX-DOAS observation by subtracting the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> DSCD for the closest zenith
observation <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn>90</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>):

                  <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mtext>DSCD</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">α</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mtext>DSCD</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">α</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mtext>DSCD</mml:mtext><mml:mtext>meas</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            DSCDs are converted into VCDs (the vertically integrated concentration)
using so-called air mass factors (AMFs, Solomon et al., 1987),
defined by

                  <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mtext>AMF</mml:mtext><mml:mo>=</mml:mo><mml:mtext>SCD</mml:mtext><mml:mo>/</mml:mo><mml:mtext>VCD</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            In many cases AMFs are determined from radiative transfer simulations
(Solomon et al., 1987). However, if trace gas column densities are retrieved
from MAX-DOAS observations at high elevation angles (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>), the AMF can be determined by the so-called geometric
approximation (Hönninger et al., 2002; Brinksma et al., 2008; Wagner et
al., 2010):

                  <disp-formula id="Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mtext>AMF</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mo>≈</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            In this study, the tropospheric vertical column density (VCD<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>trop</mml:mtext></mml:msub></mml:math></inline-formula>) is
obtained from DSCD<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>trop</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>) as discussed by Wagner et al. (2010):

                  <disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfrac><mml:mrow><mml:msub><mml:mtext>DSCD</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="italic">α</mml:mi></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mtext>AMF</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mtext>AMF</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            During the field experiments, the MAX-DOAS instruments have been mounted on
solid tables (aluminium structure) at approx. 11 m a.g.l. (NW natural forest,
hotel station) and 3.5 m a.gr. (remainder of sites) with the telescope
facing northwards. Observations were always made on elevation angles of
0<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 6<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 8<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>,
10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 20<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 45<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and
90<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>  were determined from measurements at
15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The potential importance of scattering on the interpretation
of the MAX-DOAS measurements depends on two main aspects: first on the
height of the trace gas layer and second on the amount of aerosols. In our
case the trace gas layer is shallow and the aerosol amount is low (see
Sect. 2.2.8). Thus scattering effects can be neglected. However, for comparison of
the DSCD<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>trop</mml:mtext></mml:msub></mml:math></inline-formula> data obtained by MAX-DOAS with the simulated SCDs obtained
from 3-D distributions of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration – calculated with LASAT
(Lagrangian Simulation of Aerosol Transport) – on the basis of laboratory-derived net potential <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes) the lower elevation angles
(2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) for <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>DSCD</mml:mtext><mml:mtext>trop</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  have been used,
which have a much higher sensitivity to the observed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>For classifying all MAX-DOAS measurements whether they were made upwind,
downwind, or in the centre of Milan oasis, their observation position was
related to the mean wind direction during each measurement period. Wind
measurements were part of accompanying in situ measurements (see below).</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <title>Accompanying measurements</title>
      <p>Wind direction, wind speed, air temperature, relative humidity, barometric
pressure  and rainfall intensity were measured by combined weather
sensors (weather transmitter WXT510, Vaisala, Finland). All five weather
sensors were operated side-by-side for 1 week before being
mounted at the individual measurement sites (1)–(5). Based on these
results, all meteorological data  measured between 3–24 July  2011 were corrected using one of the sensors as reference. All
combined weather sensors' data, as well as those of net radiation (four-component net radiation sensor, model NR01, Hukseflux, the Netherlands) and
soil temperature (thermistor probe, model 109, Campbell Scientific, USA)
were recorded every minute. Ambient O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
photolysis rates were also   measured in situ; both quantities are
necessary to calculate the NO<inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion factor (see Sect. 2.2.8). Ozone concentrations were measured by UV-absorption
spectroscopy (model 49i, ThermoFisher Scientific, USA) and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
photolysis rate by a filter radiometer (model 2-Pi-J<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Metcon,
Germany) at 1 min intervals.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <title>Soil samples</title>
      <p>Microbial processes responsible for biogenic NO emission are confined to the
uppermost soil layers (Galbally and Johansson, 1989; Rudolph et al., 1996;
Rudolph and Conrad, 1996). Consequently, composite soil samples (1 kg of top
soil, 0–5 cm depth) were collected at the individual sites of Milan
oasis (natural forest, cotton, jujube, cotton  and jujube mixture, desert).
All samples (air dried) were sent from Xinjiang to Germany by air cargo and
stored refrigerated (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) prior to laboratory analysis of the
net potential NO flux (see below). Sub-samples were analysed for dry
bulk soil density (ISO 11272), pH (ISO 10390), electrical conductivity
(salinity, ISO 11265), contents of nitrate and ammonium (ISO 14256), total
carbon and total nitrogen (ISO 10649 and ISO 13878), texture (ISO 11277), as
well as the soil water potential (pF values 1.8, 2.5, 4.2, Hartge and Horn,
2009).</p>
      <p>Electrical conductivity varied between 1.6 and 9.5 dS m<inline-formula><mml:math 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> within the
managed soils, and was 59.8 and 3.0 dS m<inline-formula><mml:math 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 natural forest and
desert soils, respectively. Commercially available soil moisture probes
– e.g. TDR (Time Domain Reflectometry) and FDR
(Frequency Domain Reflectometry) – show extreme interferences for soils of
&gt; 2 dS m<inline-formula><mml:math 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> (see Kargas et al., 2013) and their calibration
for such soils is extremely challenging, if possible at all. Indeed,
FDR signals monitored in Milan oasis' soils were extremely noisy and
spurious. Nevertheless, up-scaling of the laboratory-derived net potential
NO fluxes needs data of the uppermost layer of each soil of Milan oasis
land types (see Sect. 2.2.6). For that, as the most reasonable approximation, it
was decided to use the individual (constant) gravimetric soil moisture
content  which corresponds to the so-called “wilting point”. The latter
was determined by laboratory water tension measurements (pF 4.2) on
undisturbed soil cores from each land-cover type. The wilting point is
defined as that soil moisture in the root zone  which would cause
irreversible wilting of plants. Wilting point conditions in the uppermost
soil layers (2 cm) of soils in the Taklimakan Desert are easily reached,
since evaporation is extremely high (evaporating capacity 2920 mm <inline-formula><mml:math 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>.
Even after flooding irrigation of Milan oasis' crop fields, these conditions
have repeatedly been observed within at least 3 days by visual inspections.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <title>Laboratory determination of net potential NO fluxes</title>
      <p>The methodology for the laboratory measurement of the NO flux from soil was
developed at the end of the 1990s (Yang and Meixner, 1997) and has
been continuously used during the last two decades (Otter et al., 1999;
Kirkman et al., 2001; van Dijk and Meixner, 2001; Feig et al., 2008a; Feig
et al., 2008b, 2009; Yu et al., 2008, 2010a, b; Ashuri, 2009; Gelfand et al.,
2009;  Bargsten et al., 2010). The methodology has
been significantly improved in the frame of this study and is described in
detail by Behrendt et al. (2014).</p>
      <p>Generally, the release of gaseous NO from soil is the result of microbial NO
production and simultaneous NO consumption. The latter is, as shown by
Behrendt et al. (2014), particularly for arid and hyper-arid soils,
negligible. Applying the laboratory dynamic chamber method, the release of
NO is determined by incubating aliquots of the soil samples in a dynamic
chamber system under varying, but prescribed conditions of soil moisture,
soil temperature  and chamber's headspace NO concentrations. From the
difference of measured NO concentrations at the outlets of each soil-containing chamber and an empty reference chamber, actual net potential NO
fluxes (in terms of mass of nitric oxide per area and time) is calculated as
function of soil moisture and soil temperature. For that, a known mass
(approx. 60 g dry weight) of sieved (2 mm) and wetted (to water holding
capacity) soil is placed in one of six Plexiglas chambers (volume
9.7 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in a thermo-controlled cabinet (0–40 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). After passing through a purification system (PAG 003, Ecophysics,
Switzerland), dry pressurized, zero (i.e.  “NO-free”) air is supplied to
each chamber, controlled by a mass flow controller
(4.167 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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>. The outlet of each chamber is connected via a switching
valve system to the gas-phase chemiluminescence NO analyser (model 42i-TL,
Thermo Fisher Scientific Inc., USA) and to the non-dispersive infrared
CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>/H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O analyser (model LI-COR 840A, LI-COR Biosciences
Inc., USA). During a period of 24–48 h, the soil samples are slowly
drying out, hence providing the desired variation over the entire range of
soil moisture (i.e. from water-holding capacity to wilting point conditions
and completely dry soil). During the drying-out period, the temperature of
thermo-controlled cabinet is repeatedly changed from 20 to 30 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C,
hence providing the desired soil temperature variation (Behrendt et al.
2014). Occasionally, nitric oxide standard gas (200 ppm) is diluted into the
air purification system via a mass flow controller; this allows the control
of the chamber headspace NO concentration when determining NO consumption
rate of the soil sample. The actual soil moisture content of each soil
sample is determined by considering the H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O mass balance of each
chamber, where the temporal change of the chamber's headspace H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
concentration is explicitly related to the evaporation rate of the soil
sample. Tracking the chamber's headspace H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O concentration throughout
the drying-out period and relating it to the gravimetrically determined
total soil mass at the start and end of the measurement period delivers the
actual gravimetric soil moisture content of the soil sample (Behrendt et
al., 2014).</p>
      <p>As shown during the last two decades (Yang and Meixner, 1997; Otter et al.,
1999; Kirkman et al., 2001; van Dijk and Meixner, 2001; van Dijk et al.,
2002; Meixner and Yang, 2006; Yu et al., 2008, 2010; Feig et al., 2008;
Ashuri, 2009; Feig, 2009; Gelfand et al., 2009 and Bargsten et al., 2010),
the dependence of NO release from gravimetric soil moisture and soil
temperature can be characterized by two explicit dimensionless functions,
the so-called optimum soil moisture curve <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>g</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)  and the
exponential soil temperature curve <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>):

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi>g</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mfenced close=")" open="("><mml:mfrac><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mfenced><mml:mi>a</mml:mi></mml:msup><mml:mi>exp⁡</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close="]" open="["><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>a</mml:mi><mml:mfenced open="(" close=")"><mml:mfrac><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi>h</mml:mi><mml:mfenced close=")" open="("><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>exp⁡</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced close="]" open="["><mml:mfrac><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mn>10</mml:mn></mml:mfrac><mml:mfenced open="(" close=")"><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mfenced></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the dimensionless gravimetric soil moisture
content, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the so-called optimum gravimetric soil moisture
content (i.e.  where the maximum NO release has been observed), <inline-formula><mml:math display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is the soil
moisture curve's shape factor (solely derived from NO release and
gravimetric soil moisture data which have been observed during the
drying-out measurements, see Behrendt et al. 2014), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the soil
temperature (in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the reference temperature
(here: 20 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)  and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the (logarithmic) slope of
<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), defined by

                  <disp-formula id="Ch1.E7" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfrac><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:mi>ln⁡</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is a soil temperature which is 10 K different from
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (here: 30 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The actual NO fluxes <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; in terms of mass of nitric oxide) are defined by

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E8"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfrac><mml:mi>Q</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:mfrac><mml:mfenced open="[" close="]"><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,cham</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,ref</mml:mtext></mml:msub></mml:mfenced><mml:msub><mml:mi>f</mml:mi><mml:mtext>C,NO</mml:mtext></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced close=")" open="("><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfrac><mml:mi>Q</mml:mi><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:mfrac><mml:mfenced open="[" close="]"><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,cham</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,ref</mml:mtext></mml:msub></mml:mfenced><mml:msub><mml:mi>f</mml:mi><mml:mtext>C,NO</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

              where <inline-formula><mml:math display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is the purging rate of the dynamic chambers (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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>,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the cross-section of the dynamic chamber (m<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>  and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,cham</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mtext>NO,ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the NO mixing ratios (ppb) observed under
conditions (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mrow><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)
at the outlets of each soil chamber and the reference
chamber, respectively. The conversion of NO mixing ratios to corresponding
NO concentrations (ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, in terms of mass of nitric oxide) is
considered by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>C,NO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn>572.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ppb</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> under STP
conditions). Finally, the net potential NO flux, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is given by

                  <disp-formula id="Ch1.E10" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>g,0</mml:mtext></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mtext>soil</mml:mtext><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mfenced><mml:mi>g</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mfenced><mml:mi>h</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

            This net potential NO flux is specific for each soil sample, hence for sites
(1), (2), (4) and (5) of Milan oasis; the actual NO flux of the sites is
calculated by applying corresponding field data of gravimetric soil moisture
and soil temperature. This procedure has been successfully applied for a
variety of terrestrial ecosystems (e.g.  Otter et al., 1999; van Dijk et
al., 2002; Ganzeveld et al., 2008). For soils of the Zimbabwean Kalahari
(Ludwig et al., 2001; Meixner and Yang, 2006), for a German grassland soil
(Mayer et al., 2011), but also for Brazilian rainforest soils (van Dijk et
al., 2002), soil biogenic NO fluxes derived from the described laboratory
incubation method have been successfully verified by field measurements
using both  field dynamic chamber and micrometeorological (aerodynamic
gradient) techniques.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS5">
  <title>Classification and actual distribution of Milan fields</title>
      <p>Image classification is likely to assemble groups of identical pixels found
in remotely sensed data into classes that match the informational categories
of user interest by comparing pixels to one another and to those of known
identity. For the purposes of our study, land-cover classification was
carried out based on two Quickbird images (0.6 m ground resolution,
DigitalGlobe, <uri>http://www.digitalglobe.com</uri>) acquired on 09 April and 31
August 2007 respectively, with the aid of a recent ETM+ Landsat image
(141/033, <uri>http://earthexplorer.usgs.gov/</uri>) acquired on 25 April 2011 (15 and
30 m spatial resolution). A major advantage of using Quickbird images of
high spatial resolution images is that such data greatly reduce the
mixed-pixel problem (a “mixed pixel” consists of several land-cover
classes) and provide a greater potential to extract much more detailed
information on land-cover structures (e.g. field borders, buildings, roads)
than medium or coarse spatial resolution data, whether using on-screen
digitizing or image classification.</p>
      <p>However, we take  advantage of resolution merge processing to increase
the spatial resolution of the Landsat image from 30 to 15 m for the
bands 1–5 and 7 for better land-cover mapping and to update the
land-cover map from 2007 to 2011. Then, we defined different areas of
interest  (AOIs) to represent the major land covers with the aid of in situ
GPS data collection (45 points). Next, we increased the number of AOIs based on the
image spectral analysis method. After that, supervised classification was
performed using the maximum likelihood parametric rule and probabilities.
This classifier uses the training data by means of estimating means and
variances of the classes, which are used to estimate Bayesian probability
and also consider the variability of brightness values in each class. For
that, it is the most powerful classification method when accurate training
data are provided, and is one of the most widely used algorithms (Perumal and
Bhaskaran, 2010). As a result, five major ecosystems were determined:
cotton, jujube, cotton/jujube mixture fields, desert  and plant cover. The
cotton and the jujube fields are the most dominant types. Finally, the
classified land-cover image was converted into vector format using polygon
vector data type to be implemented in LASAT analysis as sources of NO flux
and for the purpose of estimating NO concentrations. The map includes 2500
polygons of different sizes as sub-units of Milan major land cover.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2.SSS6">
  <title>Two-dimensional distribution of soil NO emissions of Milan oasis</title>
      <p>The soil NO emission sources of Milan oasis were defined by individual
source units, which have been identified as those sub-units (polygons) of
the land-cover vector map consisting of natural forest or desert, or covered
by cotton, jujube, cotton/jujube mixture. Two identifiers have been
attributed to each source unit: (a) a metric coordinate whose numerical
format refers to the corner of the corresponding polygon, and (b) a unique
ID number followed by a description of its land-cover type. The soil NO
source strength (i.e.  actual NO flux, see Sect. 2.2.4) of each source unit
has been calculated from the corresponding net potential NO flux, the
land-cover type specific gravimetric soil moisture content (“wilting
point”)  and the actual soil temperature, which has been in situ measured for each
of the land-cover type  of Milan oasis (see Sect. 2.2.2). Those polygons
not matching the mentioned land-cover types and other tiny
polygons generated by digital image processing techniques were dismissed to
avoid intricate geometric errors affecting NO emission data. In other words,
these “other classes” were dissolved before performing LASAT analysis to
avoid extreme values.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS7">
  <title>Three-dimensional distribution of NO concentrations by Lagrangian
dispersion modelling</title>
      <p>Having the actual NO source units of the Milan oasis available, the 3-D
distribution of NO concentrations in the atmospheric boundary layer
(0–1500 m a.gr.) over Milan oasis have been calculated by the Lagrangian
dispersion model LASAT (German VDI Guidelines VDI3945, part 3; see Janicke
Consulting, 2011). LASAT is a state-of-the-art model, since (a) LASAT is one
of those transport dispersion models of air pollution which is officially
licensed for legal use of environmental issues (in Germany), and (b) among
comparable micro-scale (e.g. street canyons) transport-dispersion models
LASAT considers at least chemical transformations of first order and
still remains truly operational. Being a transport dispersion model,
LASAT basically considers advection (“pixel cross-talk”) by applying the
3-D continuity equation for any chosen tracer (see German VDI Guidelines
VDI3945, part 3, see Janicke Consulting, 2011). For that, pre-processing of
meteorological parameters (i.e. 3-D wind distributions, based on
meteorological in situ measurements, see Sect. 2.2.2) and calculation of
dispersion parameters (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> have to be
performed. Unfortunately, it was difficult to obtain fine resolution using
LASAT individually. Therefore, the LASAT model was integrated with the Geographic
Information System (ArcGIS) by using an advanced module, namely LASarc (IVU
Umwelt GmbH, 2012). LASarc allowed us to calculate NO concentrations using
relatively fine resolution of 30 m <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 m and taking   advantage  of
using the integrated map colour scheme in ArcGIS. This module has been used to
realize Milan oasis' complex NO source configuration and to set up
calculations of LASAT.</p>
      <p>The model was designed to calculate NO concentrations at 16 different
vertical layers (0–3, 3–5, 5–10, 10–20, 20–30, 30–50, 50–70, 70–100,
100–150, 150–200, 200–300, 300–400, 400–500, 500–700, 700–1000  and
1000–1500 m a.gr.). The horizontal resolution is 30 m, in both the <inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-direction (W–E)
and the <inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-direction (S–N), which results in 656 (<inline-formula><mml:math display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) and 381 (<inline-formula><mml:math display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>) grids for
the Milan oasis domain. LASAT's meteorological input data contain a variety
of parameters, namely start and end time (T<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula>, T<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, wind speed
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and wind direction (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) at anemometer height (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),
average surface roughness (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and atmospheric stability (in terms of
stability classes). These parameters have been provided in a time-dependent
tabular form, updated every 30 minutes (except Z<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Average (30 min)
wind speed and wind direction data have been calculated from in situ measurements
(1 min resolution, see Sect. 2.2.2).</p>
      <p>LASAT's pre-processing module determines the vertical profile of wind speed
according to the well-known logarithmic relation

                  <disp-formula id="Ch1.E11" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>U</mml:mi><mml:mfenced close=")" open="("><mml:mi>z</mml:mi></mml:mfenced><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfrac><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow><mml:mi>k</mml:mi></mml:mfrac><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mfrac><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the horizontal wind speed (m s<inline-formula><mml:math 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> at height <inline-formula><mml:math display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>(m), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> is the friction velocity
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is the dimensionless von Karman constant (<inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.4, Simiu and
Scanlan, 1996)  and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the surface roughness length
(m). LASAT's pre-processing module accepts only one individual value for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; nevertheless, the required mean value has been calculated from all
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  of Milan oasis domain, which have been assigned to each of the
sub-units (polygons) of the vector land-cover map (see Sect. 2.2.5). For
individual <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, we calculated land-cover specific NDVI data (normalized
differential vegetation index) from Landsat ETM+ image (141/033):

                  <disp-formula id="Ch1.E12" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mtext>NDVI</mml:mtext><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfrac><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>NIR</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mtext>RED</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>NIR</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mtext>RED</mml:mtext></mml:msub></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where NIR is the reflectance in the near-infrared bandwidth
(0.77–0.90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m) and RED is the reflectance in the red bandwidth (0.63–0.69 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m). In
Landsat ETM+ images, these correspond to bands 4 and 3, respectively.
Finally, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>NIR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mtext>RED</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the corresponding ratios of reflected and
incident energy as a function of wavelength (see Chander and Markham, 2003).
Then, surface roughness grid data were estimated as

                  <disp-formula id="Ch1.E13" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mfenced><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mtext>NDVI</mml:mtext><mml:mfenced open="(" close=")"><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mrow><mml:mi>x</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are constants, which are, according to Morse et al. (2000),
derived from NDVI(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and GPS(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula>) data for known sample pixels
representing the earlier classified land-cover types, namely natural forest,
desert, cotton, jujube, and cotton/jujube mixture. Corresponding land-cover
type <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  are 0.45, 0.01, 0.18, 0.26  and 0.22 m, respectively; the
required average value over the entire LASAT model domain results in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn>0.22</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.158 m.</p>
      <p>Besides mechanical turbulence (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, atmospheric stability most affects
the dispersion of trace substances. For Milan oasis' atmospheric boundary
layer, atmospheric stability has been calculated according to the “solar
radiation/delta T (SRDT)” method in 30 min intervals. This method (see Turner, 1994) is widely accepted because of its simplicity and its
representativeness for atmospheric stability over open country and rural
areas, like the Milan oasis domain. Daytime stability classes are calculated
from in situ  measurements of solar radiation and horizontal wind speed (see
Sect. 2.2.2).</p>
      <p>Finally, 30 min means of all parameters and input variables of LASAT have
been calculated. Using these, about 4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> gridded data points
of 3-D NO concentration have been calculated for each time period considered
in Sect. 3.2.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS8">
  <?xmltex \opttitle{Simulation of ${\text{SCD}}_{{\chem{NO_{2}}}}$ and ${\text{VCD}}_{{\chem{NO_{2}}}}$ by spatial
integration of LASAT results}?><title>Simulation of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> by spatial
integration of LASAT results</title>
      <p>There is only one tool to provide a robust relationship between biogenic
soil NO emissions on the one hand and MAX-DOAS observed SCDs and VCDs on the
other hand: the exact simulation of the MAX-DOAS measurement through spatial
integration of 3-D NO concentrations calculated by LASAT
(followed by NO<inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion). At a given location of the
MAX-DOAS measurement, integration must be performed from the height where
the MAX-DOAS instrument has been set up (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>MAX-DOAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to the end of the
atmospheric boundary layer (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>1500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> a.gr.) along two virtual
light paths: (a) the vertical-up path (VCD) and (b) the slant path (SCD),
according to the selected elevation angle of each MAX-DOAS measurement.</p>
      <p>Calculation of simulated VCD for NO (VCD<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:math></inline-formula>) at the location of a
MAX-DOAS instrument is achieved as follows: (a) determination of the NO mass
density (ng m<inline-formula><mml:math 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> of the vertical column between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>MAX-DOAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; this is obtained by adding NO concentrations (ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in terms
of mass of nitric oxide) of all LASAT cells in the vertical direction over that
30 m <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 30 m grid, which contains the location of the MAX-DOAS
instrument, multiplied by the height difference<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>h</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mtext>MAX-DOAS</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (in m), (b) multiplying that NO mass density by
the ratio of Avogadro's number (6.02217 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>26</mml:mn></mml:msup></mml:math></inline-formula> molecules kmol<inline-formula><mml:math 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>
and the molecular weight of NO (30.0061 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>12</mml:mn></mml:msup></mml:math></inline-formula> ng kmol<inline-formula><mml:math 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> delivers the desired value of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in units of
molecules m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>: molecules cm<inline-formula><mml:math 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> at the location of the
MAX-DOAS instrument. Calculation of simulated SCD for NO (SCD<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>NO,sim</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
requires the determination of the 3-D light path through the he trace gas layer. Positioning of MAX-DOAS's telescope was always to the north; the
selected MAX-DOAS elevation angle <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> deliver the length
of the slant light path (<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:mi>sin⁡</mml:mi><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>). The desired
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (in molecules m<inline-formula><mml:math 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> results from the NO mass density of
the slant column multiplied by the length of the slant light path, where the
NO mass density is equivalent to the sum of all NO concentrations of those
LASAT cells which are intersected by the slant light path from the position
of the MAX-DOAS instrument to <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mtext>ABL</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>For conversion of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> it is assumed that the photostationary state (PSS) of the
triad NO, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is established in Milan oasis' atmospheric
boundary layer. According to Leighton (1961) this chemical equilibrium state
is due to fast photochemical reactions, namely <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">υ</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, from
which the so-called photostationary state <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration
(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">PSS</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) can be derived as

                  <disp-formula id="Ch1.E14" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">PSS</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] is the ozone number density (molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; calculated
from in situ  measured O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations, see Sect. 2.2.2),
[NO] is the NO number density, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the reaction coefficient of the
<inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> reaction (cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecules<inline-formula><mml:math 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> s<inline-formula><mml:math 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>;
Atkinson et al., 2004), and <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the in situ  measured <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
photolysis rate (in s<inline-formula><mml:math 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>; see Sect. 2.2.2). Finally, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> are calculated from <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> by

                  <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>CF</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mtext>and</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:msub><mml:mtext>SCD</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi mathvariant="normal">sim</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E15"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mtext>CF</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>NO,sim</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

              where the <inline-formula><mml:math display="inline"><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula> conversion factor is defined by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>CF</mml:mtext><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:math></inline-formula>(<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
      <p>Since the NO–<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photochemical equilibrium could not be handled
by LASAT's “chemical” algorithm, we decided to use measured data (O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratio, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis rate, see Sect. 2.2.2) to convert the
calculated 3-D NO mixing ratio to the photo-stationary 3-D <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratio. For that, a constant vertical O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio (up to 1500 m a.gr.) is
assumed over Milan oasis. This is justified by the fact  that,
particularly in arid and hyper-arid landscapes at midday conditions
(maximum of insulation), the entire atmospheric boundary layer is intensively
mixed, which is due to extensive convective heating of the surface by the
sun which produces powerful buoyant thermals that establish the so-called
mixing layer. Consequently, a uniform vertical mixing ratio is expected for
trace gases with chemical lifetimes greater than the exchange time of the
atmospheric boundary layer  (see Husar et al. 1978; Stull, 1988). This
assumption is valid for ozone. Vertically constant O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio has
been reported for the atmospheric boundary layer over semi-arid southern
Africa (Meixner et al., 1993). Concerning the vertical distribution of
<inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, it is obvious that the downward component of the actinic flux
increases with increasing elevation due to the decreasing optical thickness
of the scattering air masses. However, the altitude effect on the actinic
flux in the first kilometre of the troposphere is typically very small.
Trebs et al. (2009) used the Tropospheric Ultraviolet Visible model to
calculate the typical vertical change of the actinic flux and found a
vertical gradient of 1.1 % km<inline-formula><mml:math 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>. Consequently, our calculations of the NO to
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion in the boundary layer over Milan oasis (1500 m a.gr.)
have not considered any potential vertical change of the <inline-formula><mml:math display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values
measured at ground level. Nevertheless, for the case of our measurements the
locally enhanced NO values caused by the soil emissions have a small but
systematic effect on the ozone concentration, and thus also on the Leighton
ratio: close to the surface (below about 50 m) the NO concentrations can be
quite large, with maximum values up to about 10 ppb. Consequently, the ozone
concentration will be reduced due to the reaction with NO by up to about 10 ppb. This means that the Leighton ratio will be reduced by up to about
25 %. Although the reduction of the ozone mixing ratio will be partly
compensated by mixing with air from higher altitudes, the simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mixing ratios might overestimate the true <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios by up to
about 25 %. Probably the true overestimation for our measurements is much
smaller because the typical NO mixing ratio within the lowest 100 m is much
lower than 10 ppb.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <title>Land-cover type specific net potential NO fluxes</title>
      <p>Net potential NO fluxes (as functions of soil temperature and moisture) have
been determined by incubation of samples which have been taken from the
top-soil of Milan oasis' major land-cover types, i.e. natural forest,
desert, cotton, jujube  and cotton/jujube mixture (see Sect. 2.2.4).
Figure 2 shows the laboratory-derived net potential NO flux (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) from
soils of the most contrasting land-cover types of Milan oasis (irrigated
and fertilized fields of cotton, jujube, cotton/jujube mixture  and
desert).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Net potential NO fluxes <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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
terms of mass of nitric oxide) from soils of the four major land-cover types
of Milan oasis as functions of soil temperature (<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and
dimensionless gravimetric soil moisture content.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f02.png"/>

        </fig>

      <p>Net potential NO fluxes of the natural forest land-cover type are not shown,
because laboratory incubation measurements have shown that there is no
significant NO release from these soils, most likely due to its high
electrical conductivity (salt content). Optimum gravimetric soil water
contents (i.e.  where the maximum of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>NO</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is observed) for desert,
managed cotton  and managed jujube soils have one thing in common – very low values
of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mtext>g,opt</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (0.009–0.017) for soil temperatures of
50 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. During the vegetation period (April–September), soil
temperatures of &gt; 40 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C are easily reached for the
soils of Milan oasis, particularly for the desert soils. While the nature of
all Milan oasis' soils is arid/hyper-arid, maximum net potential NO fluxes
are 7600, 63, 270  and 98 ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 terms of mass of nitric
oxide) for cotton, jujube, jujube/cotton mixture  and desert soils,
respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>2011 map of land-cover types of Milan oasis as derived from
satellite images (Quickbird, Landsat ETM<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>, see Sect. 2.2.5).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f03.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Land-cover types of Milan oasis and actual NO fluxes</title>
      <p>As mentioned in Section 2.2.5, land-cover classification and actual
distribution of Milan oasis' fields have been identified from satellite
images (Quickbird, Landsat ETM<inline-formula><mml:math display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The 2011 distribution of fields and the
corresponding land cover is shown in Fig. 3.</p>
      <p>The dominant crop was cotton, representing 18 % (64 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the total
field area of Milan oasis (jujube 7 %, 28 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, cotton/jujube mixture
0.89 % (3 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, natural forest 18 % (64 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
residential area 1.62 % (5.5 km<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and desert 52 % (174 km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Land-cover specific, actual NO fluxes (30 min means) from cotton,
jujube, cotton/jujube  and desert soils were calculated from corresponding
laboratory-derived net potential NO fluxes, land-type specific soil moisture
and soil temperature data (see Sect. 2.2.6). These NO fluxes (ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 terms of mass of nitric oxide) were then assigned to
each individual source unit (i.e. to each of the 2500 polygons of Milan
oasis' domain).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Median diel variation of the actual NO-flux (ng
m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 terms of mass of nitric oxide) from soils of the four
major land-cover types of Milan oasis for the period 3–24 June, 2011.
Data have been calculated according Eq. (10) using <bold>(a)</bold> soil temperatures
(medians) measured for each of the four major land-cover types, and
<bold>(b)</bold> so-called “wilting point” data for corresponding soil moisture contents at
the four sites (see Sect. 2.2.3). Data for the cotton site are given as
medians, as well as 25 and 75 % quantiles, and those for the Jujube,
Jujube-cotton and desert sites as medians only (see figure insert).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f04.png"/>

        </fig>

      <p>For the period 3–24 June 2011, land-cover specific, actual NO fluxes
were calculated according to Eq. (10) for cotton, jujube, cotton/jujube  and desert soils
from corresponding laboratory-derived net potential NO fluxes. As input we
used land-type specific, measured soil temperature data as well as land-type
specific soil moisture data (so-called “wilting points”, Sect. 2.2.3).
The calculated NO fluxes are shown in Fig. 4 as median diel variation (for
the entire period of 3–24 June, 2011). Since NO fluxes from Milan cotton
fields dominate the total soil biogenic NO emission of the oasis,
corresponding medians and quartiles are shown in Fig. 4, while – for the
sake of clarity – for jujube, cotton/jujube  and desert only medians are
given. Since land-type specific “wilting points” are constant, diel
variations of actual NO fluxes mirror directly those of corresponding soil
temperatures, showing the daily minimum around 06:00 LT for all four
major land-cover types. The maximum of the actual NO-flux, however, is
around 13:00 LT for jujube, cotton/jujube  and desert soils, and
15:00 LT for cotton. This is due to the growth of the cotton plants:
while at the beginning of the experimental period the bare soil surface was
nearly 100 % exposed to insolation, the growing cotton canopy has shaded
great parts of the soil surface towards the end of the experimental period.
This is also reflected by the skewed distribution of actual NO fluxes from
cotton-covered soil, indicated by the daytime non-symmetric inter-quartile
range (<inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> upper quartile  – lower quartile). As shown in Sect. 3.5,
actual NO flux data of 09 June, 2011 (08:30–14:30 LT) were used for
the comparison of LASAT and MAX-DOAS results. During this particular day
(within the first week of the experimental period), the derived flux for
“land-cover cotton” ranged from 15–64 ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 terms of
mass of NO), those for jujube, cotton/jujube, and desert land covers ranged
from 11–13, 6–16, and 6–17 ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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>, respectively. These
actual NO fluxes were then assigned to each individual source unit (i.e. to
each of the 2500 polygons of Milan oasis' domain). The soil biogenic NO
emission from all cotton fields between 08:30 and 14:30 was estimated to be
28.7 kg (in terms of mass of NO), equivalent to 76 % of the total soil
biogenic NO emission of the entire Milan oasis within 6 h.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Results of MAX-DOAS measurements performed at sites
oasis/hotel (4), jujube (4), natural forest (1)  and desert (2) of Milan
oasis from 23 May to 26 June, 2011 (see Fig. 1). Vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column
densities (in molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; 20–30 min averages) are shown in relation
to in situ measured wind direction at each location of MAX-DOAS
measurements. The MAX-DOAS measurements were performed between 06:00 and
19:00 LT. Note the radial logarithmic scale of VCD data.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <?xmltex \opttitle{Vertical {$\chem{NO_{2}}$} column densities by MAX-DOAS}?><title>Vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities by MAX-DOAS</title>
      <p>We performed 32 individual MAX-DOAS measurements within 21 days of the 2011
field campaign to examine the spatial variation between the observed sites.
In Fig. 5, all observed vertical <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities (in molecules cm<inline-formula><mml:math 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> observed at sites (1)–(4) of Milan oasis are shown in polar
coordinates with reference to corresponding wind directions measured
in situ  at the individual sites.</p>
      <p>Wind speeds (30 min means) ranged between 1.5 and 7.7 m s<inline-formula><mml:math 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> and wind
direction was mostly (78 %) from the northern quadrants (59, 9,
13  and 19 % from NE, SE, SW  and NE quadrants, respectively). As
expected, highest VCDs (10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula>–10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">molecules</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)
were observed at site (4) (Milan oasis centre), regardless of wind
direction. When the wind direction is from the NE quadrant, site (3) (jujube
fields) is downwind of Milan oasis (see Fig. 1); then its VCDs are as high
as those obtained in the oasis' centre (5–7 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).
The few VCD data points of 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>15</mml:mn></mml:msup></mml:math></inline-formula> molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the jujube site, attributed to winds from
SE and SW quadrants, are mainly due to NO emissions from traffic on the
National Road 315 which passes the southern margins of Milan oasis. Lowest
VCDs (3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>–3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>14</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">molecules</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) have been observed at site (1) (natural forest) and site (2)
(desert). Alone from these spatially resolved VCD observations in the Milan
oasis' domain, the increase of VCD due to the oasis itself can be estimated
to be of at least one order of magnitude.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Results of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VCD measured simultaneously with two
MAX-DOAS instruments upwind (natural forest, site (1)) and downwind (jujube
field, site (3)) of Milan oasis on 9 and 13 June, 2011.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f06.png"/>

        </fig>

      <p>Fortunately, we were able to perform simultaneous measurements with two
MAX-DOAS instruments at sites (1) and (3) on 09 and 13 June, 2011. Since
winds (approx. 3 m s<inline-formula><mml:math 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> were from the NE quadrant on these
days, site (1) was upwind, and site (3) downwind of Milan oasis.
Corresponding VCD results are shown in Fig. 6. <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VCDs at the
downwind site exceeded those at the upwind site by a factor  of  5–9. This
difference between downwind and upwind MAX-DOAS signals is considered to be a
direct measure for the areal increase of ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration. In
the absence of anthropogenic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> sources (see Sect. 2.1), this provides
first evidence for the considerable impact of the biogenic NO emissions from
the fields of Milan oasis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Results of NO concentrations (ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; in terms of mass of
nitric oxide) calculated by the LASAT dispersion model for the first four
vertical levels on 9 June, 2011, 11:30 to 13:00 LT.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <title>3-D distribution of ambient NO-concentration</title>
      <p>The LASAT model has to be used to calculate the dispersion of soil emitted
NO into the atmospheric boundary layer over Milan oasis. An example for the
resulting distribution of NO concentration in the first four vertical layers
of LASAT (0–3, 3–5, 5–10  and 10–20 m) is shown in Fig. 7 (9 June, 2011;
11:30–13:00 LT). The shown results are the mean of three LASAT model
runs, since a new LASAT calculation of 3-D distribution of NO concentration
is started for every set of meteorological parameters which are provided
every 30 min from means of the in situ  measured meteorological quantities (see
Sect. 2.2.2). During 11:30–13:00, mean wind direction was 15, 38  and 50<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, wind speed was rather constant
(2.60–2.67 m s<inline-formula><mml:math 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> and atmospheric stability class was   generally neutral
(3.2).</p>
      <p>By comparing the NO ambient concentrations, particularly in the first
vertical LASAT layer (0–3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>) of oasis area with the
surrounding desert, it becomes obvious that the great differences of ambient
NO concentrations mirror the corresponding differences of actual soil NO
fluxes from each source unit; within this layer calculated mean NO
concentrations are 13, 12, 10  and 1 ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (in terms of mass of nitric
oxide; or 10.6, 9.8, 8.2  and 0.8 ppb) for the oasis centre, jujube fields,
cotton/jujube mixture  and desert, respectively. The value at the oasis
centre exceeds those over desert by more than an order of magnitude, similar
to the corresponding VCD values (see above). As expected under the
prevailing conditions of well-developed atmospheric turbulence, NO
concentration  rapidly decreases with height (see panels “0–3 m”,
“3–5 m”, “5–10 m” in Fig. 7), and with prevailing northerly winds,
the NO concentration centre shifting southwards with increasing altitude.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <title>Simulated SCDs and VCDs vs. SCDs and VCDs by
MAX-DOAS</title>
      <p>For those periods where simultaneous “upwind” and “downwind” MAX-DOAS
measurements have been performed (9 and 13 June, 2011), corresponding
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> have been simulated by suitable vertical
integration (see Sect. 2.2.8) of LASAT-calculated 3-D NO concentrations,
followed by NO<inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion (based on photostationary state
assumption of Milan oasis' atmospheric boundary layer). Since <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represent only that part of true SCDs and VCDs of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
which are due to the contribution of the oasis' soil NO emissions,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are compared to the difference of those SCDs and
VCDs which have been simultaneously measured by two MAX-DOAS instruments at
corresponding “downwind” and “upwind” sites (see Fig. 8). For elevation
angles of 2 and 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>SCD = <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>down</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>SCD</mml:mtext><mml:mtext>up</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
are shown in Fig. 8a. In Fig. 8b,
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>sim</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>VCD = <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>down</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>VCD</mml:mtext><mml:mtext>up</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are shown for
15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> elevation.</p>
      <p>Here it should be noted that in principle the accuracy of the geometric
approximation is higher for the high-elevation angles than for the lower-elevation angles. However, for the specific cases studied here, this is not
the case. First, close to the sources, the height of the layer with elevated
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is quite low (in our case the bulk of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is located below
100 m). Second, also the aerosol load is usually very low. Thus the probability
of scattering events inside the layer of enhanced <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is very low, and
consequently the accuracy of the geometric approximation is relatively high.
To further quantify the associated uncertainties, we performed radiative
transfer simulations and found that the deviations from the geometric
approximation are similar for the different elevation angles (about 5 %
for 2<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, 3 % for 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 3 % for 15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>).
However, because of the shorter light paths through the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> layer, the
relative error caused by the uncertainty of the spectral analysis is higher
than for the low-elevation angles. Thus for the case of our measurements, we
indeed expect lower uncertainties for the low-elevation angles.</p>
      <p>Since soil NO emission data used in the LASAT dispersion model were
calculated from land-cover type specific potential net NO fluxes, which in
turn were derived from laboratory incubation experiments on corresponding
soil samples, the results in Fig. 8 are also considered as an excellent
quality assurance of the chosen up-scaling of laboratory results to the
oasis scale. There is remarkably good agreement between measured and
simulated data.</p>
      <p>However, the actual NO emissions (irrespective of the land-cover type) have
their maximum in the early afternoon (see Fig. 4), while the highest
height-integrated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations as simulated by LASAT (on the
basis of the actual NO emissions) are in the morning (08:30–10:00),
followed by rather constant values for the reminder of the day (see Fig. 8).
The apparent discrepancy between both diurnal variations can be simply
explained by the diurnal variation of the wind direction and the specific
viewing geometry of the MAX-DOAS instrument. The MAX-DOAS instrument was
located at the southwest corner of the oasis, and the observations at
zenith and low elevation angles probed air masses located at different
locations across the oasis. The wind direction was from northeast in the
morning and turned to northwest in the afternoon. Hence, air masses of
lower concentration crossed the viewing directions in the afternoon compared
to those in the morning. This explains why, in spite of the larger <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
emissions, smaller column densities were observed in the afternoon. The
apparent discrepancy of the diurnal cycles of NO emissions and measured
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities indicates the importance of exactly considering the
3-D <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution (due to the soil-emitted NO) for the
comparison of the model results with MAX-DOAS observations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Simulated SCDs vs. SCDs measured by MAX-DOAS <bold>(a)</bold> and simulated
VCDs vs. VCDs measured by MAX-DOAS <bold>(b)</bold> on 9 and 13 June, 2011 at Milan
oasis. SCDs were measured and simulated for elevation angles of
2 and 4<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>; VCDs were measured at 15<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/867/2015/acp-15-867-2015-f08.png"/>

        </fig>

      <p>Figure 8b shows that the LASAT simulations overestimate slightly the
true <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VCD. Both measured and simulated <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> VSDs have
an average root mean square  error between the measured and simulated
values of approx. 5–15 %. However, the overestimation of LASAT simulation
is well suited to the fact that in reality a little less NO can be converted
to the NO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> because of lower ozone concentration at the surface.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>This study has been focused on the following activities: (1) representative
soil sampling from the uppermost soil layer (&lt; 0.05 m) of all
land-cover type units (natural forest, cotton fields, jujube fields,
cotton/jujube mixture, desert) of Milan oasis (Xinjiang, NW China), (2)
laboratory incubation experiments (dynamic chamber system) to characterize
the biogenic NO emission from these soil samples in the form of net potential NO
fluxes as function of soil moisture and soil temperature, (3) determination
of the actual size, areal distribution  and land-cover type of Milan oasis'
field units from satellite remote sensing information, (4) field
measurements of slant (SCD) and vertical (VCD) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> column densities (by
MAX-DOAS) and additional quantities (soil moisture, soil temperature, ozone
concentration, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis rate, meteorological parameters) during
an extended field campaign of 4 weeks at Milan oasis, (5) using data from
(2), (3) and (4): calculation of Milan oasis' 2-D distribution of actual  land-cover specific NO fluxes, (6) calculation of 3-D NO concentrations in
Milan oasis' atmospheric boundary layer originating from the dispersion of
biogenic NO soil emissions determined by (5) with help of the Lagrangian
dispersion model LASAT, (7) simulation of SCDs and VCDs by suitable vertical
integration of calculated 3-D NO concentrations followed by suitable NO<inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> conversion factors derived from in situ  measurements, and (8) comparison of
measured and simulated SCDs and VCDs.</p>
      <p>Results of the laboratory-derived NO fluxes have shown that the extensively
managed (fertilized and efficiently irrigated) cotton fields of Milan oasis
release large amounts of soil biogenic NO; NO fluxes range between 10–30
ng m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 terms of mass of N), which is approx. 5–10
times more than from a typical central European wheat field (Yamulki et al., 1995; Stohl et al., 1996).</p>
      <p>Applying two MAX-DOAS instruments, simultaneous measurements were
performed at upwind and downwind sites of Milan oasis. Downwind site VCDs
exceeded those from the upwind site by factors of 5–9. Differences of VCD
and SSC (“downwind” minus “upwind”) are a direct measure for the areal
increase of ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration caused by the oasis itself. The
measured differences of VCDs and SCDs were compared with the simulated VCDs
and SCDs and excellent agreement was found.</p>
      <p>This agreement is considered as the first successful attempt to prove the
validity of the chosen approach to up-scale laboratory-derived biogenic NO
fluxes to ecosystem level field conditions, i.e. from the spatial scale of a
soil sample (cm<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to field size (ha), and from field size (ha) to the
size of an entire (agro-)ecosystem (km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Furthermore, in the absence
of anthropogenic NO sources of Milan oasis (hydropower energy, battery
powered trikes), it is obvious  that the areal increase of ambient <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
concentration in the atmospheric boundary layer of the isolated (in terms of
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> advection) Milan oasis is entirely due to biogenic NO emission from
the arid/hyper-arid soils of the oasis itself. Extensive agricultural
management of Milan oasis' crop fields (fertilization (350–600 kg N ha<inline-formula><mml:math 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> a<inline-formula><mml:math 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> and effective irrigation of cotton and jujube fields)
obviously provides considerable contribution of biogenic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(NO <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from arid/hyper-arid soils of the Taklimakan desert to the
local tropospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>  budget.
<?xmltex \hack{\newpage}?>
About 80 % of the Chinese cotton production originates from the 3000 km
long belt of oases surrounding Taklimakan Desert (1.65 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> km<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in Xinjiang (NW China); cotton cultivated land area in Xinjiang
occupies top rank in all of  China. Since 1955, Xinjiang's output of
cotton has increased by a factor of 294   (Lei et al., 2005). Fast economic growth in the
region (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>11 % GDP a<inline-formula><mml:math 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>, inevitably accompanied by large
anthropogenic <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> emissions (traffic, energy production), may be
countervailed or even exceeded by the “hotspot” character of Xinjiang's
oases, namely by soil biogenic NO emissions from agriculturally dominated
oases. Most likely, they will contribute most to the regional tropospheric
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi mathvariant="normal">x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> budget. This is all the more likely, given the continued
intensification of oasis agriculture around the Taklimakan desert which will
be accompanied by corresponding land use change (desert<inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula>dryland farming
with irrigation) in the coming decades.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>This work was funded through the German Research Foundation (DFG) project
“DEQNO – Desert Encroachment in Central Asia – Quantification of soil
biogenic Nitric Oxide” (DFG-MA 4798/1-1), the Max Planck Society (MPG), and
the Max Planck Graduate Centre with Johannes Gutenberg-University Mainz
(MPGC). The authors like to thank Guozheng Song, Günter Schebeske, Achim
Zipka, Yanhong Li, Fanxia Wang, Aixia Yang, Sijun Luo  and Zhilin Zhu for
their field assistance and their substantial support before, during  and
after the DEQNO 2011 campaign. We also thank Reza Shaiganfar and Steffen
Beirle for their support  during pre-preparation of the MAX-DOAS instrument.<?xmltex \hack{\\}?><?xmltex \hack{\\}?>
The service charges for this open access publication<?xmltex \hack{\\}?>have been covered by the Max Planck Society.<?xmltex \hack{\\}?><?xmltex \hack{\\}?>
Edited by: P. Jöckel<?xmltex \hack{\\}?></p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
    <title>References</title>

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