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  <front>
    <journal-meta><journal-id journal-id-type="publisher">WCD</journal-id><journal-title-group>
    <journal-title>Weather and Climate Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WCD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Weather Clim. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2698-4016</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/wcd-7-2015-2026</article-id><title-group><article-title>The dual effect of urban areas on supercell storms</article-title><alt-title>The dual effect of urban areas on supercell storms</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>De Martin</surname><given-names>Francesco</given-names></name>
          <email>fdemartin@ou.edu</email>
        <ext-link>https://orcid.org/0000-0002-5173-8641</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Rozoff</surname><given-names>Christopher</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zonato</surname><given-names>Andrea</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Alessandrini</surname><given-names>Stefano</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2977-5697</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Di Sabatino</surname><given-names>Silvana</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2716-9247</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Physics and Astronomy, Alma Mater Studiorum, University of Bologna, Bologna, Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Meteorology, University of Oklahoma, Norman, Oklahoma, United States</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>U.S. National Science Foundation, National Center of Atmospheric Research, Boulder, Colorado, United States</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>CIMA Foundation, Savona, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Francesco De Martin (fdemartin@ou.edu)</corresp></author-notes><pub-date><day>14</day><month>October</month><year>2026</year></pub-date>
      
      <volume>7</volume>
      <issue>4</issue>
      <fpage>2015</fpage><lpage>2042</lpage>
      <history>
        <date date-type="received"><day>10</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>23</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>29</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>1</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Francesco De Martin et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026.html">This article is available from https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026.html</self-uri><self-uri xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026.pdf">The full text article is available as a PDF file from https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e139">The effect of urban land use on convective storms with deep and persistent rotating updrafts (supercell storms) is systematically investigated using ensembles of idealized numerical simulations. A supercell is simulated over a flat domain containing a circular city surrounded by croplands. It is triggered upstream of the city so that it subsequently moves into the urban area. Twenty-five experiments with eleven ensemble members each are conducted in which city size, urban fraction, building height, and building density are varied. The results show a statistically significant weakening of the supercell with increasing city size. The weakening of the approaching storm is primarily driven by the urban dry island (UDI), which substantially reduces convective available potential energy. While the initial storm can be suppressed by the city, the urban heat island (UHI) generates a pressure minimum and horizontal convergence, which induce upward motions and can trigger a new supercell downwind of the city, in a corridor where SRH is also higher. Compared with UHI-induced vertical velocities, the building-generated vertical velocities are negligible. This study expands our understanding of the complex interactions between the urban environment and deep moist convection, emphasizing the role of the UHI and UDI in influencing storm dynamics and highlighting the potential dual effects of urban land use on supercell storms.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Horizon 2020</funding-source>
<award-id>101037193</award-id>
</award-group>
<award-group id="gs2">
<funding-source>HORIZON EUROPE Framework Programme</funding-source>
<award-id>101057739</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e151">The most severe socio-economic impacts of severe storms typically occur when they strike urban areas, where large populations are at risk of injuries, and dense infrastructure and numerous vehicles are exposed to damage (e.g., <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx80" id="altparen.1"/>). This underscores the need for a thorough examination of the interactions between urban land use and severe storm behavior, with the ultimate goals of improving early warning systems, designing effective emergency plans, informing the public about associated risks, and strengthening socio-economic resilience.</p>
      <p id="d2e157">It is well established that the presence of buildings and urban materials significantly modifies the Planetary Boundary Layer (PBL), leading to the Urban Heat Island (UHI; i.e., higher temperatures within cities, <xref ref-type="bibr" rid="bib1.bibx55" id="altparen.2"/>), and modifications in streamlines <xref ref-type="bibr" rid="bib1.bibx9" id="paren.3"/>, which often result in weaker surface winds over urban areas. Urban areas also modify the moisture field: both Urban Wet Islands (UWIs) and Urban Dry Islands (UDIs) have been observed <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx28" id="paren.4"/>. UWIs are more common at night, due to enhanced evapotranspiration associated with the UHI (which is stronger at night, <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.5"/>), in winter, due to anthropogenic emissions, and in dry regions <xref ref-type="bibr" rid="bib1.bibx41" id="paren.6"/>. UDIs, instead, are more frequent in the late afternoon and in spring or summer in wet regions <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx37 bib1.bibx40 bib1.bibx39" id="paren.7"/>, where evapotranspiration within urban areas is reduced due to less vegetation cover relative to rural areas <xref ref-type="bibr" rid="bib1.bibx23" id="paren.8"/>.</p>
      <p id="d2e182">Urban areas affect also precipitation, and the existence of an Urban Rainfall Effect (URE) was already noted more than 50 years ago <xref ref-type="bibr" rid="bib1.bibx10" id="paren.9"/>. This phenomenon is typically characterized by enhanced precipitation downstream of both large and compact urban areas <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx84" id="paren.10"/>. Several hypotheses have been proposed to explain it, ranging from thermodynamic mechanisms (UHI-induced vertical motions that trigger convection; <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx62" id="altparen.11"/>), to dynamic processes (vertical velocities induced by flow modifications caused by buildings; <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx5" id="altparen.12"/>), and chemical interactions (urban aerosols affecting rainfall efficiency; <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx20" id="altparen.13"/>). In particular, the dynamic explanation has received considerable attention. Various mechanisms have been proposed to explain enhanced vertical velocities resulting from building-induced flow modifications, including dynamical blocking of the flow upstream of buildings <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx67 bib1.bibx82 bib1.bibx86" id="paren.14"/>, flow merging downstream of cities <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx16" id="paren.15"/>, downstream wind convergence driven by a pressure minimum induced by flow bifurcation <xref ref-type="bibr" rid="bib1.bibx83" id="paren.16"/>, and storm bifurcation via the so-called building-barrier effect <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx6" id="paren.17"/>. However, these hypotheses have generally not been tested quantitatively. While it is reasonable to expect that all these factors may influence a convective cell to some extent, it remains unclear whether one (or some) of them plays a dominant role in producing the URE phenomenon.</p>
      <p id="d2e213">Moreover, most of these studies have focused on ordinary convective cells, while only a limited number have examined the effects of urban land use on local severe storms. In particular, the present study focuses on supercells, which are convective storms with a deep and persistent rotating updraft and represent the most dangerous type of local severe storm (e.g., <xref ref-type="bibr" rid="bib1.bibx26" id="altparen.18"/>). Since surface-based supercells are fueled primarily by air masses located in the lowest few hundred meters of the troposphere <xref ref-type="bibr" rid="bib1.bibx12" id="paren.19"/>, it is reasonable to hypothesize that they may be influenced as well by urban land use <xref ref-type="bibr" rid="bib1.bibx68" id="paren.20"/>. Indeed, some case studies have found that supercells occurring over the US Great Plains were intensified by the presence of cities <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx35 bib1.bibx21" id="paren.21"/>. Similarly, <xref ref-type="bibr" rid="bib1.bibx58" id="text.22"/> reported a systematic increase in updraft helicity (UH) over Moscow (Russia) compared to simulations without the city. A recent study showed that even a Quasi-Linear Convective System (QLCS) can be displaced and broken up by urban land use <xref ref-type="bibr" rid="bib1.bibx15" id="paren.23"/>.</p>
      <p id="d2e236">Attempts to generalize these pioneering case studies have been made using idealized simulations <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx50 bib1.bibx51" id="paren.24"/>, which found that both supercells and QLCSs intensified when a city was included. However, in those simulations, the city was simplified as a thermal and roughness perturbation, and a realistic city was not considered in the simulation domain.</p>
      <p id="d2e242">These early investigations suggest that even local severe storms can be modified by urban land use. Nevertheless, they either lack generality or rely on overly simplified urban representations. Therefore, the present research employs idealized simulations using state-of-the-art urban parameterizations to better assess whether urban perturbations are sufficiently strong to alter supercell behavior. Another important aspect that has been only marginally addressed in previous studies concerns the physical processes responsible for urban-induced modification of supercells. Accordingly, this research is guided by two main scientific questions: <list list-type="custom"><list-item><label>1.</label>
      <p id="d2e247">Can a city modify a supercell?</p></list-item><list-item><label>2.</label>
      <p id="d2e251">What are the physical processes that cause such modifications?</p></list-item></list> The limitation of idealized simulations is that they rely on the outcomes of a numerical model, which must be trusted. To enhance the trustworthiness of the idealized simulations, similar model settings used for a real case study by <xref ref-type="bibr" rid="bib1.bibx15" id="text.25"/> are employed in the present study.</p>
      <p id="d2e258">The analysis is divided into two main phases. The primary objective of the first phase is to investigate how an already developed supercell is modified by the presence of a city. To this end, the storm is initiated upstream and advected toward the city center, where an urban boundary layer has developed during the preceding hours. In particular, we aim to assess the storm's sensitivity to variations in city size, urban fraction, building height, and building density. The second phase of the analysis focuses on understanding how the pre-storm environment is influenced by different urban morphological configurations. This aspect is crucial for explaining the urban-induced storm modifications identified in the first phase.</p>
      <p id="d2e261">The methodology used is described in detail in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. The results of the first phase are presented in Sect. <xref ref-type="sec" rid="Ch1.S3"/>, while those of the second phase are shown in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. Finally, the main outcomes of both phases are discussed in Sect. <xref ref-type="sec" rid="Ch1.S5"/>, along with comparisons with the existing literature. Tentative answers to the scientific questions posed above will be provided in Sect. <xref ref-type="sec" rid="Ch1.S6"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Method</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Numerical simulation setup</title>
      <p id="d2e289">Numerical simulations are performed using version 4.6.1 of the Weather Research and Forecasting (WRF) numerical model <xref ref-type="bibr" rid="bib1.bibx70" id="paren.26"/>. Numerical simulations are conducted in a single square domain with horizontal grid spacing of 1 km, consisting of 250 <inline-formula><mml:math id="M1" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 250 grid points. The same 64 vertical levels used in <xref ref-type="bibr" rid="bib1.bibx15" id="altparen.27"/> are employed, as they were shown to accurately reproduce severe storm dynamics in a real urban setting. Periodic Boundary Conditions (PBCs) are implemented. A sufficiently large domain is chosen to ensure that spurious wave interactions do not occur during the period analyzed in this study.</p>
      <p id="d2e305">The simulations are initialized at 10:00 local time (LT), and the storm is triggered at 16:00 LT, a typical initiation time of convection (e.g., <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.28"/>). The supercell is initiated using a thermal bubble released at 16:00 LT near the bottom-left corner of the domain, at grid point <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The bubble is a thermal perturbation of <inline-formula><mml:math id="M3" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3 K released at 1800 m a.g.l. The perturbation relaxes to zero with a vertical radius of 1800 m and a horizontal radius of 10 km. This setup allows the storm to develop for approximately two hours before reaching the city. This numerical configuration is similar to that used by <xref ref-type="bibr" rid="bib1.bibx43" id="text.29"/> to investigate interactions between supercells and idealized orography.</p>
      <p id="d2e337">The microphysics scheme used is <xref ref-type="bibr" rid="bib1.bibx48" id="text.30"/>, with hail as the prognostic rimed ice species. Longwave radiation is parameterized using the Rapid Radiative Transfer Model <xref ref-type="bibr" rid="bib1.bibx46" id="paren.31"/>, while shortwave radiation is parameterized using the Dudhia scheme <xref ref-type="bibr" rid="bib1.bibx18" id="paren.32"/>. Radiative forcing corresponds to conditions at a latitude of 45° N (the same as Milan) on 31 May. Noah-MP is used as the land surface model <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx85" id="paren.33"/>, while the Revised MM5 scheme <xref ref-type="bibr" rid="bib1.bibx30" id="paren.34"/> is employed to resolve the surface layer processes.</p>
      <p id="d2e355">Several schemes are tested for the representation of PBL processes, coupled with the 1.5 TKE closure (<italic>km_opt</italic> <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2 in the WRF namelist), including the Boulac <xref ref-type="bibr" rid="bib1.bibx7" id="paren.35"/>, Yonsei University (YSU, <xref ref-type="bibr" rid="bib1.bibx27" id="altparen.36"/>), or Mellor–Jamada–Janjic <xref ref-type="bibr" rid="bib1.bibx29" id="paren.37"/> schemes. Since no remarkable differences are observed among the PBL schemes considered, the YSU scheme is preferred because it is widely used in severe storm studies at mid latitudes and also in urban settings (e.g., <xref ref-type="bibr" rid="bib1.bibx59" id="altparen.38"/>).</p>
      <p id="d2e382">The domain is entirely flat, with a surface soil moisture<fn id="Ch1.Footn1"><p id="d2e385">Lower values of soil moisture caused the development of an excessively dry PBL that suppressed deep moist convection.</p></fn> of 0.34 m<sup>3</sup> m<sup>−3</sup> and croplands as the uniform land-use category, except for a circular city centered at grid point <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">76</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. This location is chosen based on an analysis of the supercell evolution in the <italic>no_urban</italic> control run, where the land use is cropland everywhere. The goal is to locate the city such that the supercell passes over its center two hours after initiation, coinciding with the time of peak intensity. Urban surface processes are resolved using the Building Effect Parametrization (BEP, <xref ref-type="bibr" rid="bib1.bibx44" id="altparen.39"/>) and the Building Energy Model (BEM, <xref ref-type="bibr" rid="bib1.bibx65" id="altparen.40"/>). In both models, buildings are not explicitly resolved; instead, their effects on the grid-averaged variables are parameterised. BEP computes the impact of roofs, streets, and walls on wind speed, temperature, and turbulent kinetic energy, also accounting for the shadowing and radiation-trapping effects induced by urban canyons. Building-height information affects the momentum, heat, moisture, and turbulent kinetic energy source terms passed from the urban canopy to the atmospheric model. The model can therefore accurately represent the aggregate, grid-cell-scale effect of building height, which is the scale relevant to our simulations <xref ref-type="bibr" rid="bib1.bibx90" id="paren.41"/>. In BEM, the exchange of momentum, heat, and radiation between indoor rooms and urban canyons is parameterised, also accounting for the heat generated by occupants and equipment and the effect of air conditioning systems. In this work, the  <italic>sea_breeze_2d</italic>, adapted to run with the BEP-BEM scheme in a three-dimensional domain <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx57" id="paren.42"/>, was employed.</p>
      <p id="d2e445">We chose a grid spacing of 1 km rather than a finer resolution because the BEP-BEM and PBL schemes have been extensively tested at that scale. At finer resolutions, within the 0.1–1 km grid-spacing range, a “<italic>terra incognita</italic>” exists <xref ref-type="bibr" rid="bib1.bibx88" id="paren.43"/>, in which PBL schemes become unreliable (as part of the turbulence is explicitly resolved), while large-eddy simulations (LES) are also not fully appropriate (because not all coherent eddies are directly resolved at such coarse resolution). Using LES at a resolution of 100 m or finer would have been a valuable alternative; however, the computational costs were beyond our capabilities, especially given the sensitivity tests and ensemble approach we implemented. Therefore, we preferred to use a well-established mesoscale modelling configuration with an advanced urban parametrization rather than adopting a finer resolution within the “gray zone”, with a potentially less reliable representation of urban processes.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e456"><bold>(a)</bold> Input sounding at 10:00 LT; <bold>(b)</bold> simulated sounding at 16:00 LT when the storm is initiated with a thermal bubble. Temperature (red line), dew point temperature (green line), and temperature of a surface parcel lifted adiabatically (black line) are shown. The CAPE area is red shaded. The hodograph is shown in the upper-right panel (the first 6 km of wind speeds are plotted).</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Choice of the input sounding</title>
      <p id="d2e478">A spin-up time is needed in the simulations to permit the generation of the urban boundary layer. During this spin-up time, deep moist convection is not desired. To achieve the desired controlled experiment, the Weisman–Klemp supercell sounding profile <xref ref-type="bibr" rid="bib1.bibx79" id="paren.44"/> is used. Since the radiative heating during the day quickly triggers deep moist convection, an artificial thermal inversion of 4 K is added in the profile to coincide in height with the lifting condensation level (LCL, Fig. <xref ref-type="fig" rid="F1"/>a). Through trial and error, an increase of 4 K is chosen as the threshold that completely suppresses the development of moist convection. The same issue was addressed similarly by <xref ref-type="bibr" rid="bib1.bibx54" id="text.45"/> and <xref ref-type="bibr" rid="bib1.bibx8" id="text.46"/>. At the LCL, the relative humidity is also reduced by a factor of 1.5, to resemble the presence of an Elevated Mixing Layer (EML, see Fig. 1 of <xref ref-type="bibr" rid="bib1.bibx19" id="altparen.47"/>), a frequent feature during severe storm events both in the US <xref ref-type="bibr" rid="bib1.bibx1" id="paren.48"/> and in Europe <xref ref-type="bibr" rid="bib1.bibx13" id="paren.49"/>. The denominator 1.5 is chosen in order to decrease the mid-level moisture, without drying the troposphere excessively. A thermal inversion of 4 K is compatible with real EML profiles <xref ref-type="bibr" rid="bib1.bibx75" id="paren.50"/><fn id="Ch1.Footn2"><p id="d2e504">Note that the thermal inversion and moisture decrease associated with an EML are usually located at an elevation higher than the LCL. We place them at the LCL because the daytime growth of the PBL lifts the hygrothermal discontinuity to a more realistic elevation.</p></fn>. Thus, the vertical profile of potential temperature <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of the input sounding is defined as:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M9" display="block"><mml:mrow><mml:mi mathvariant="normal">Θ</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable rowspacing="4.3pt 4.3pt" class="array" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">lcl</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">5</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">lcl</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mi>z</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced close="]" open="["><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>g</mml:mi><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>z</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M10" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is gravity acceleration, <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the specific heat capacity of the atmosphere, <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M13" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 296 K the potential temperature at the surface, <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M15" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 12 000 m the height of the tropopause, <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">lcl</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the height of the LCL, <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M18" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 343 K the potential temperature at the tropopause and <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 219 K its temperature.</p>
      <p id="d2e824">The vertical profile of relative humidity rh<inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is defined as:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M22" display="block"><mml:mrow><mml:mtext>rh</mml:mtext><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced close="" open="{"><mml:mtable class="array" rowspacing="4.3pt 4.3pt" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:mstyle><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:msup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">lcl</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo mathsize="2.0em">[</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:msup><mml:mo mathsize="2.0em">]</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">lcl</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mi>z</mml:mi><mml:mo>≤</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">tr</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e977">An exponent of 0.75 is used instead of the 1.25 employed in the original version of <xref ref-type="bibr" rid="bib1.bibx79" id="text.51"/>, in agreement with <xref ref-type="bibr" rid="bib1.bibx43" id="text.52"/>. The moisture in the boundary layer is defined by fixing a maximum value for specific humidity <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">bl</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M24" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14.5 g kg<sup>−1</sup>.</p>
      <p id="d2e1016">Six hours after the start of the simulation, the solar heating deepens the PBL (Fig. <xref ref-type="fig" rid="F1"/>b), eroding the thermal inversion and creating high Convective Available Potential Energy (CAPE) values, as expected by the conceptual model of <xref ref-type="bibr" rid="bib1.bibx19" id="text.53"/>. At this time, the convective inhibition is negligible, and convection can grow once a lifting mechanism is provided. In the previous 6 h, deep moist convection is suppressed by the thermal inversion, permitting the generation of the urban boundary layer.</p>
      <p id="d2e1025">The environmental wind profile is defined by the quarter-circle hodograph proposed by <xref ref-type="bibr" rid="bib1.bibx61" id="text.54"/>. The profiles of the zonal <inline-formula><mml:math id="M26" 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> and meridional <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>v</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> wind components used for the current study, and plotted in the hodograph of Fig. <xref ref-type="fig" rid="F1"/>a, are defined as:

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M28" display="block"><mml:mrow><mml:mi>u</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" rowspacing="4.3pt 4.3pt" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>cos⁡</mml:mi><mml:mo mathsize="1.1em">(</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo mathsize="1.1em">)</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>≤</mml:mo><mml:mi>z</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:mfrac></mml:mstyle><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          and

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M29" display="block"><mml:mrow><mml:mi>v</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close=""><mml:mtable class="array" rowspacing="4.3pt" columnalign="left left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>sin⁡</mml:mi><mml:mo mathsize="1.1em">(</mml:mo><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>&lt;</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi>z</mml:mi><mml:mo>≥</mml:mo><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M31" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1500 m, <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M33" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6000 m, <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M35" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7 m s<sup>−1</sup>, <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 40 m s<sup>−1</sup>, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M41" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10 m s<sup>−1</sup> are chosen to produce a right-moving supercell (<xref ref-type="bibr" rid="bib1.bibx43" id="altparen.55"/> used similar parameters). The diurnal mixing in the boundary layer and the surface drag changes the imposed wind profiles, as can be inferred by comparing the hodographs at 10:00 and 16:00 LT in Fig. <xref ref-type="fig" rid="F1"/>. This is also a consequence of the lack of a meridional thermal gradient in the domain, which hinders the presence of a thermal wind capable of maintaining the curved hodograph in long-lasting simulations.</p>
      <p id="d2e1458">The transient evolution of the simulated profile suggests that the optimal timing for triggering the supercell should be carefully estimated. In the first part of the simulation thermodynamic and kinematic atmospheric parameters change (as shown in Fig. S1 in the Supplement); in particular, CAPE and LCL increase, Convective Inhibition (CIN) and Storm Relative Helicity (SRH) decrease. Between 17:00 and 20:00 LT, these parameters reach a minimum and a quasi-steady state, before nocturnal radiative cooling again significantly modifies the atmosphere. Therefore, triggering the storm at 16:00 LT and analyzing its interaction with the urban area between 17:00 and 19:00 LT is an appropriate choice. Even if at the beginning the supercells are moving into a slightly less favourable environment, any difference between the numerical experiments (that includes the city) and the <italic>no_urban</italic> simulations (Table <xref ref-type="table" rid="T3"/>) observed in that time span can be reasonably attributed to the urban morphological parameters rather than to changes in the broader environment.</p>
      <p id="d2e1466">Values of selected parameters calculated from the simulated sounding at 16:00 LT, when convection is initiated, are shown in Table <xref ref-type="table" rid="T1"/>. At 16:00 LT, the atmosphere is conducive to supercell storms, since the substantial – albeit not extreme – Surface Based (SB) CAPE (2740 J kg<sup>−1</sup>, virtual correction is considered), strong bulk shear 0–6 km (32.3 m s<sup>−1</sup>) and moderate 0–3 km  SRH (200 J kg<sup>−1</sup>). The highest <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi>e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the low-levels is observed at the surface, suggesting that storms are surface-based with this profile.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1521">Some relevant thermodynamic and kinematic indices computed on the simulated sounding at 16:00 LT shown in Fig. <xref ref-type="fig" rid="F1"/>b.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">Acronym</oasis:entry>

         <oasis:entry colname="col2">Index</oasis:entry>

         <oasis:entry colname="col3">Value</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">CAPE</oasis:entry>

         <oasis:entry colname="col2">convective available</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" morerows="1">2740 J kg<sup>−1</sup></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">potential energy</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">CIN</oasis:entry>

         <oasis:entry colname="col2">convective inhibition</oasis:entry>

         <oasis:entry colname="col3">0 J kg<sup>−1</sup></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">bulk shear 0–6 km</oasis:entry>

         <oasis:entry colname="col2">bulk shear 0–6 km</oasis:entry>

         <oasis:entry colname="col3">32.3 m s<sup>−1</sup></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">SRH 0–3 km</oasis:entry>

         <oasis:entry colname="col2">storm relative helicity</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" morerows="1">200 J kg<sup>−1</sup></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">in the 0–3 km layer</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1">SRH 0–1 km</oasis:entry>

         <oasis:entry colname="col2">storm relative helicity</oasis:entry>

         <oasis:entry colname="col3" morerows="1">33 J kg<sup>−1</sup></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">in the 0–1 km layer</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>The numerical experiments</title>
      <p id="d2e1697">The BEP-BEM model requires several urban morphological parameters to run. The thermal features of the city are kept constant: the default values (reported in Table <xref ref-type="table" rid="T2"/>) of Local Climate Zone 2 are used <xref ref-type="bibr" rid="bib1.bibx11" id="paren.56"/>. The sensitivity of the supercell to some of the BEP-BEM parameters is investigated in this work: street width (<inline-formula><mml:math id="M52" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula>), building width (<inline-formula><mml:math id="M53" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>), building height (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and urban fraction (uf). In Table <xref ref-type="table" rid="T3"/>, a summary of the numerical experiments conducted is provided, while in Fig. <xref ref-type="fig" rid="F2"/>, a graphical summary is furnished. The range of parameters explored is selected by studying the mean morphological parameters of some European and US cities frequently affected by severe storms (see, for example, Table S1 and Fig. S2 in the Supplement), using the GLobal Building heights for Urban Studies (GLOBUS) dataset <xref ref-type="bibr" rid="bib1.bibx31" id="paren.57"/>. In that dataset, the plan area fraction (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the building surface-to-plan area ratio (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are reported. These are defined as:

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M57" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>b</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the fraction of ground covered by buildings, it quantifies the building density in a city. Instead, <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> quantifies the total urban area (roofs, walls, streets) exposed to the atmosphere.</p>

<table-wrap id="T2"><label>Table 2</label><caption><p id="d2e1857">Thermal features of the idealized city.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Heat Capacity</oasis:entry>
         <oasis:entry colname="col3">Thermal</oasis:entry>
         <oasis:entry colname="col4">Surface</oasis:entry>
         <oasis:entry colname="col5">Surface</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Conductivity</oasis:entry>
         <oasis:entry colname="col3">Albedo</oasis:entry>
         <oasis:entry colname="col4">Emissivity</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(J m<sup>−3</sup> K<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col3">(J m<sup>−1</sup> s<sup>−1</sup> K<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Ground</oasis:entry>
         <oasis:entry colname="col2">1.68 <inline-formula><mml:math id="M65" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
         <oasis:entry colname="col3">0.73</oasis:entry>
         <oasis:entry colname="col4">0.14</oasis:entry>
         <oasis:entry colname="col5">0.95</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Walls</oasis:entry>
         <oasis:entry colname="col2">1.67 <inline-formula><mml:math id="M67" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
         <oasis:entry colname="col3">1.09</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">0.90</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Roofs</oasis:entry>
         <oasis:entry colname="col2">1.8 <inline-formula><mml:math id="M69" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>6</sup></oasis:entry>
         <oasis:entry colname="col3">1.25</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">0.91</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2092">Numerical experiments conducted and parameters explored.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">numerical experiments</oasis:entry>
         <oasis:entry colname="col2">zero value</oasis:entry>
         <oasis:entry colname="col3">intermediate values</oasis:entry>
         <oasis:entry colname="col4">max value</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>city size</italic> (km)</oasis:entry>
         <oasis:entry colname="col2">0 (no_urban)</oasis:entry>
         <oasis:entry colname="col3">5; 10; 15; 20; 25</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>city size uf1</italic> (km)</oasis:entry>
         <oasis:entry colname="col2">0 (no_urban)</oasis:entry>
         <oasis:entry colname="col3">5; 10; 15; 20; 25</oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>urban fraction</italic></oasis:entry>
         <oasis:entry colname="col2">0.4</oasis:entry>
         <oasis:entry colname="col3">0.6; 0.8</oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>building height</italic> (m)</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">20; 40</oasis:entry>
         <oasis:entry colname="col4">60</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>building density</italic> (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">(0.1,0.3)</oasis:entry>
         <oasis:entry colname="col3">(0.2,0.6); (0.3,0.9)</oasis:entry>
         <oasis:entry colname="col4">(0.4,1.2)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>green roofs</italic></oasis:entry>
         <oasis:entry colname="col2">no_urban</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">green roofs over all roofs</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>no_thermo</italic></oasis:entry>
         <oasis:entry colname="col2">no_urban</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">buildings with rural energetic balance</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>storm_shifted</italic></oasis:entry>
         <oasis:entry colname="col2">no_urban</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">bubble shifted from (40,40) to (30,60)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2285">Schematic representation of some of the urban features explored in the idealized simulations. The <italic>zero value</italic> (left) and the <italic>max value</italic> (right) of the studied urban morphological parameters (city size, building height, urban fraction, and building density) are shown (see Table <xref ref-type="table" rid="T3"/>). In the first row, the simulation domain is depicted from above, showing croplands (green shading with plants) and the city (grey circle). In the remaining rows, the view is lateral. Grey rectangles represent buildings. <inline-formula><mml:math id="M73" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> denotes the city diameter, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the building height, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mi>u</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:math></inline-formula> the urban fraction, <inline-formula><mml:math id="M76" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> the street width, <inline-formula><mml:math id="M77" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> the building width, and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the ratio of building area to total area.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f02.png"/>

        </fig>

      <p id="d2e2356">First, a sensitivity analysis of city size is conducted, with city diameters ranging from 0 km in the <italic>no_urban</italic> scenario to 30 km (numerical experiments <italic>city size</italic>). Table <xref ref-type="table" rid="T4"/> presents the parameters used to define the idealized city uniformly in the control runs. These are based on the Milan, Italy, GLOBUS data (Table S1). Milan, Italy, is chosen as the reference city both because it was object of investigation in a preceding case study analysis <xref ref-type="bibr" rid="bib1.bibx15" id="paren.58"/>, and also because its morphological parameters are relatively typical of European cities. It is characterized by urban fraction of 0.63, mean building heights of 20 m and <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M80" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e2419">Urban morphological parameters used in the set of numerical experiments <italic>city size</italic> (in the first row the name of the experiments is reported).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><italic>no_urban</italic></oasis:entry>
         <oasis:entry colname="col3"><italic>uf0.63_5km</italic></oasis:entry>
         <oasis:entry colname="col4"><italic>uf0.63_10km</italic></oasis:entry>
         <oasis:entry colname="col5"><italic>uf0.63_15km</italic></oasis:entry>
         <oasis:entry colname="col6"><italic>uf0.63_20km</italic></oasis:entry>
         <oasis:entry colname="col7"><italic>uf0.63_25km</italic></oasis:entry>
         <oasis:entry colname="col8"><italic>uf0.63_30km</italic></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">city diameter (km)</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">10</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">25</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">urban fraction</oasis:entry>
         <oasis:entry colname="col2">0.63</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">0.63</oasis:entry>
         <oasis:entry colname="col5">0.63</oasis:entry>
         <oasis:entry colname="col6">0.63</oasis:entry>
         <oasis:entry colname="col7">0.63</oasis:entry>
         <oasis:entry colname="col8">0.63</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">building height (m)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">20</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.24</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.24</oasis:entry>
         <oasis:entry colname="col6">0.24</oasis:entry>
         <oasis:entry colname="col7">0.24</oasis:entry>
         <oasis:entry colname="col8">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">0.78</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">0.78</oasis:entry>
         <oasis:entry colname="col6">0.78</oasis:entry>
         <oasis:entry colname="col7">0.78</oasis:entry>
         <oasis:entry colname="col8">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2645">The same set of numerical experiments is also performed using an urban fraction (uf) of 1.0 instead of 0.63 (numerical experiments <italic>city size uf1</italic>, Table <xref ref-type="table" rid="T5"/>). An urban fraction of 1.0 means the entire urban surface is built-up (i.e., no croplands within the city radius). However, 20 % of the street surface remains covered by trees in these experiments, as a city without any trees is unrealistic. Although a mean urban fraction of 1.0 is not observed in European or U.S. cities (Table S1), this experiment is conducted to explore the impact of city size under the extreme scenario of a fully urbanized city.</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e2656">As in Table <xref ref-type="table" rid="T4"/>, but for numerical experiments <italic>city size uf1</italic>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><italic>no_urban</italic></oasis:entry>
         <oasis:entry colname="col3"><italic>uf1_5km</italic></oasis:entry>
         <oasis:entry colname="col4"><italic>uf1_10km</italic></oasis:entry>
         <oasis:entry colname="col5"><italic>uf1_15km</italic></oasis:entry>
         <oasis:entry colname="col6"><italic>uf1_20km</italic></oasis:entry>
         <oasis:entry colname="col7"><italic>uf1_25km</italic></oasis:entry>
         <oasis:entry colname="col8"><italic>uf1_30km</italic></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">city diameter (km)</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">5</oasis:entry>
         <oasis:entry colname="col4">10</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">25</oasis:entry>
         <oasis:entry colname="col8">30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">urban fraction</oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">1.0</oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
         <oasis:entry colname="col5">1.0</oasis:entry>
         <oasis:entry colname="col6">1.0</oasis:entry>
         <oasis:entry colname="col7">1.0</oasis:entry>
         <oasis:entry colname="col8">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">building height (m)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
         <oasis:entry colname="col6">20</oasis:entry>
         <oasis:entry colname="col7">20</oasis:entry>
         <oasis:entry colname="col8">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.24</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.24</oasis:entry>
         <oasis:entry colname="col6">0.24</oasis:entry>
         <oasis:entry colname="col7">0.24</oasis:entry>
         <oasis:entry colname="col8">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">0.78</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">0.78</oasis:entry>
         <oasis:entry colname="col6">0.78</oasis:entry>
         <oasis:entry colname="col7">0.78</oasis:entry>
         <oasis:entry colname="col8">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2885">A third set of numerical experiments, called <italic>urban fraction</italic>, is conducted to examine the supercell's sensitivity to urban fraction. Values ranging from 0.4 to 1.0 are investigated for an idealized city with a diameter of 20 km (Table <xref ref-type="table" rid="T6"/>).</p>

<table-wrap id="T6"><label>Table 6</label><caption><p id="d2e2896">As in Table <xref ref-type="table" rid="T4"/>, but for numerical experiments <italic>urban fraction</italic> (uf).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><italic>uf0.4</italic></oasis:entry>
         <oasis:entry colname="col3"><italic>uf0.6</italic></oasis:entry>
         <oasis:entry colname="col4"><italic>uf0.8</italic></oasis:entry>
         <oasis:entry colname="col5"><italic>uf1.0</italic></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">city diameter (km)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">urban fraction</oasis:entry>
         <oasis:entry colname="col2">0.4</oasis:entry>
         <oasis:entry colname="col3">0.6</oasis:entry>
         <oasis:entry colname="col4">0.8</oasis:entry>
         <oasis:entry colname="col5">1.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">building height (m)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.24</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">0.78</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3055">The <italic>building height</italic> experiments, investigate the effect of building height on the simulated storm (Table <xref ref-type="table" rid="T7"/>). The building heights explored range from 10 to 60 m, representing cities from the Chicago metropolitan area to downtown New York.</p>

<table-wrap id="T7"><label>Table 7</label><caption><p id="d2e3066">As in Table <xref ref-type="table" rid="T4"/>, but for numerical experiments <italic>building height</italic> (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><italic>h10</italic></oasis:entry>
         <oasis:entry colname="col3"><italic>h20</italic></oasis:entry>
         <oasis:entry colname="col4"><italic>h40</italic></oasis:entry>
         <oasis:entry colname="col5"><italic>h60</italic></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">city diameter (km)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">urban fraction</oasis:entry>
         <oasis:entry colname="col2">0.63</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">0.63</oasis:entry>
         <oasis:entry colname="col5">0.63</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">building height (m)</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">40</oasis:entry>
         <oasis:entry colname="col5">60</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.24</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.78</oasis:entry>
         <oasis:entry colname="col3">0.78</oasis:entry>
         <oasis:entry colname="col4">0.78</oasis:entry>
         <oasis:entry colname="col5">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3236">Furthermore, the <italic>building density</italic> experiments explore the effect of building density on the simulated storms (Table <xref ref-type="table" rid="T8"/>). Since the BEP-BEM scheme uses street and building widths as input parameters (rather than the <inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> parameters), the building height and the building width are kept constant at 20 m, while the street width is varied from 106 to 11.5 m. This corresponds to a range of <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values from <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, representing a transition from a very dispersed to a highly compact city.</p>

<table-wrap id="T8"><label>Table 8</label><caption><p id="d2e3310">As in Table <xref ref-type="table" rid="T4"/> but for numerical experiments <italic>building density</italic>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">city diameter (km)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">urban fraction</oasis:entry>
         <oasis:entry colname="col2">0.63</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
         <oasis:entry colname="col4">0.63</oasis:entry>
         <oasis:entry colname="col5">0.63</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">building height (m)</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3">20</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.1</oasis:entry>
         <oasis:entry colname="col3">0.2</oasis:entry>
         <oasis:entry colname="col4">0.3</oasis:entry>
         <oasis:entry colname="col5">0.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.3</oasis:entry>
         <oasis:entry colname="col3">0.6</oasis:entry>
         <oasis:entry colname="col4">0.9</oasis:entry>
         <oasis:entry colname="col5">1.2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3509">Lastly, some additional experiments are conducted to investigate other specific questions. An experiment is carried out using the settings of numerical experiment <italic>uf1_30km</italic>, but with vegetation placed over all the buildings of the idealized city <xref ref-type="bibr" rid="bib1.bibx90" id="paren.59"/>, to investigate the effect of this nature-based solution on storm dynamics (this experiment is called <italic>green roofs</italic>; see Table <xref ref-type="table" rid="T3"/>). A second experiment, called <italic>no_thermo</italic>, is conducted with the settings of the <italic>uf1_30km</italic> experiment and the same urban roughness, but with the urban energetic balance replaced by the rural one. This experiment serves to disentangle the dynamical (i.e., building barrier-effects) and thermodynamics (i.e., UHI and UDI) effects of the city on the storm and the pre-storm environment. An experiment, called <italic>storm_shifted</italic> (Table <xref ref-type="table" rid="T3"/>), is also run to test the sensitivity of the results to whether a different part of the urban plume is crossed by the storm. In this experiment, the thermal bubble is shifted from grid-point <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">60</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, while keeping the same parameters of experiment <italic>uf1_30km</italic> (Table <xref ref-type="table" rid="T5"/>).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Generation of the ensembles</title>
      <p id="d2e3582">An ensemble approach is adopted to better assess the physical signal of urban-induced storm modifications across different flow realizations, given the intrinsic chaotic variability of the atmosphere. For each numerical experiment, eleven simulations are conducted: one is the control run, and the other ten are generated using the Stochastic Kinetic Energy Backscatter Scheme (SKEBS, <xref ref-type="bibr" rid="bib1.bibx4" id="altparen.60"/>). SKEBS generates stochastic streamfunction perturbations through autoregressive processes in spectral space and injects them into regions where the model exhibits excessive systematic kinetic energy loss. In the present study, the parameters used to generate the ensemble with SKEBS are set following <xref ref-type="bibr" rid="bib1.bibx60" id="text.61"/>, who investigated ensemble dispersion in deep moist convective events. The only difference from their setup is the value of the maximum wavenumber of the potential temperature and streamfunction perturbation, which is set to match the number of grid points in the current simulations.</p>
      <p id="d2e3591">The ten ensemble members are generated using ten distinct random seeds, which are kept constant across all numerical experiments. As a result, the same members across different experiments are using the same seeds and are not fully independent (this is considered in the statistical analysis). This is done intentionally to better evaluate the influence of each parameter over the different flow evolutions (i.e., members).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3596">Maximum simulated reflectivity (colour shading) at <bold>(a)</bold> 16:20 LT, <bold>(b)</bold> 17:00 LT, <bold>(c)</bold> 17:40 LT, <bold>(d)</bold> 18:00 LT, <bold>(e)</bold> 18:20 LT, <bold>(f)</bold> 19:00 LT by the control run of numerical experiment <italic>uf0.63_10km</italic>. The city is shown with a grey shading. UH value higher than 100 m s<sup>−1</sup> are highlighted with a black contour. The black (blue) arrow indicates the right-moving (left-moving) supercell.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Storm tracking</title>
      <p id="d2e3648">The Statistical and Programmable Objective Updraft Tracker (SPOUT, <xref ref-type="bibr" rid="bib1.bibx72" id="altparen.62"/>) algorithm is used to track the simulated updrafts. Fine-tuning of some user-defined parameters is necessary to achieve satisfactory tracking of the supercell updrafts. Table S2 lists these parameters and compares them with those originally employed by <xref ref-type="bibr" rid="bib1.bibx72" id="text.63"/>.</p>
      <p id="d2e3657">Further filtering of the SPOUT-detected tracks is necessary to isolate the right-moving supercell track, as the algorithm frequently splits it. This occurs because SPOUT tracks updrafts individually, and supercells may cycle, producing new updrafts.</p>
      <p id="d2e3660">To filter out these updrafts, only the track that begins near the location where the thermal bubble is released is considered. If the track terminates at <inline-formula><mml:math id="M104" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 150 (i.e., before 3 h after the bubble release), a new track is searched for within a 10 km radius. If found, the new track is connected to the previous one. This process is repeated until the track reaches <inline-formula><mml:math id="M106" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 150 or the storm dissipates.</p>
      <p id="d2e3691">Each point along the track is considered the storm center at a given time step. Storm diagnostics are extracted every 10 min, and the extracted variables are listed in Table <xref ref-type="table" rid="T9"/>. For each time step, the mean (or maximum or minimum, depending on the variable) is calculated within an 8 km radius around the storm center, and this value is assigned to the storm at that time step.</p>

<table-wrap id="T9" specific-use="star"><label>Table 9</label><caption><p id="d2e3700">List of storm diagnostic variables used (every value is computed considering an 8 km radius following the storm track) and corresponding mean slopes (km<sup>−1</sup>) of the linear fits between diagnostic variables and city diameters in the <italic>city size</italic> numerical experiments. Bold values are statistically significant lower (or larger) than zero.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">variable</oasis:entry>
         <oasis:entry colname="col2">meaning</oasis:entry>
         <oasis:entry colname="col3">upstream</oasis:entry>
         <oasis:entry colname="col4">city</oasis:entry>
         <oasis:entry colname="col5">downstream</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">wmax</oasis:entry>
         <oasis:entry colname="col2">maximum vertical velocity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w500</oasis:entry>
         <oasis:entry colname="col2">maximum vertical velocity at 500 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M112" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>6.1</bold><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M114" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.1</bold><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>500</oasis:entry>
         <oasis:entry colname="col2">maximum vertical vorticity at 500 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M118" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.9</bold><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M120" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.0</bold><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M122" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.6</bold><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh max</oasis:entry>
         <oasis:entry colname="col2">maximum updraft helicity in the 2–5 km layer</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M124" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.1</bold><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M126" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.6</bold><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh mean</oasis:entry>
         <oasis:entry colname="col2">mean updraft helicity in the 2–5 km layer</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.2</bold><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M132" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>5.7</bold><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w700</oasis:entry>
         <oasis:entry colname="col2">maximum vertical velocity at 700 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M134" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.4</bold><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M136" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.9</bold><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>700</oasis:entry>
         <oasis:entry colname="col2">maximum vertical vorticity at 700 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w850</oasis:entry>
         <oasis:entry colname="col2">maximum vertical velocity at 850 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M143" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.3</bold><inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M145" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.6</bold><inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M148" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>850 max</oasis:entry>
         <oasis:entry colname="col2">maximum vertical vorticity at 850 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w950</oasis:entry>
         <oasis:entry colname="col2">maximum vertical velocity at 950 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M153" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>5.4</bold><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M155" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.7</bold><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>950</oasis:entry>
         <oasis:entry colname="col2">maximum vertical vorticity at 950 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M160" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>5.1</bold><inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) max</oasis:entry>
         <oasis:entry colname="col2">maximum equivalent potential temperature at 500 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M164" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.9</bold><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) mean</oasis:entry>
         <oasis:entry colname="col2">mean equivalent potential temperature at 500 hPa</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M168" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.7</bold><inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) min</oasis:entry>
         <oasis:entry colname="col2">minimum potential temperature in the first model level</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M175" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>8.1</bold><inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) mean</oasis:entry>
         <oasis:entry colname="col2">mean potential temperature in the first model level</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M179" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>4.9</bold><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4976">Then, three regions are defined using a temporal criterion to compare the storms at the same developmental stage across different numerical experiments. Those regions are defined with respect to a zero, defined as the time step when the supercell is above the city, corresponding to grid point <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">90</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">76</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the control run of the <italic>no_urban</italic> experiment. This time step is at 18:00 LT (see, for instance, Fig. <xref ref-type="fig" rid="F3"/>d). Then, three 40 min windows are defined (sketch in Fig. <xref ref-type="fig" rid="F4"/>). The first one, from <inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 to <inline-formula><mml:math id="M184" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 min, defines the <italic>city region</italic>. The <italic>upstream region</italic> is defined from <inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>60 to <inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 min. Lastly, the <italic>downstream region</italic> is defined from <inline-formula><mml:math id="M187" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 to <inline-formula><mml:math id="M188" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60 min. In these windows, the variables previously computed for each time step are averaged. Thus, considering the 10 min output frequency, four time steps are averaged for each window.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e5057">Criterion used to define the upstream, city and downstream regions.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Statistical method used to analyze the numerical experiments</title>
      <p id="d2e5074">Given a set of numerical experiments, a statistical analysis is conducted for each region and for each variable. The variables are normalized with respect to a reference zero value (defined case-by-case in Table <xref ref-type="table" rid="T3"/>). The normalized <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> variable for the ensemble member <inline-formula><mml:math id="M190" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> and numerical experiment <inline-formula><mml:math id="M191" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> is given by:

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M192" display="block"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the original variable and <inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the reference value for the ensemble member <inline-formula><mml:math id="M195" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. This approach is adopted to understand how storm diagnostics vary relative to a reference case (e.g., how updraft speed changes with increasing city size compared to the <italic>no_urban</italic> case). A linear fit is performed using the <italic>curve_fit</italic> function from SciPy <xref ref-type="bibr" rid="bib1.bibx76" id="paren.64"/> on the normalized variables sharing the same SKEBS seed. Any null values are excluded: specifically, if a storm dissipates, the corresponding ensemble member is omitted from the fit. This exclusion is necessary because, for some variables (e.g., <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>), including a null value in the linear fit lacks physical meaning. In general, excluding such values has been observed to increase the fit's statistical significance.</p>
      <p id="d2e5206">We focus solely on the slope parameter of the linear fit, particularly its sign. The statistical significance of the slope relative to a null hypothesis of a zero slope is assessed using a 5 %–95 % bootstrap confidence interval, computed from 1000 iterations using the <italic>bootstrap</italic> function of SciPy.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results: Supercell sensitivity to the urban morphological parameters</title>
      <p id="d2e5221">In this section, the sensitivity of the simulated supercell to urban morphological parameters is presented. Across the different ensemble members, there are variations in the storm tracks and intensity; however, all simulations of the <italic>no_urban</italic> reference experiment produce a long-lasting, right-moving supercell, similar to the one shown in Fig. <xref ref-type="fig" rid="F3"/> for the <italic>uf0.63_10km</italic> experiment. The right-moving supercell approaches the city from the WSW (Fig. <xref ref-type="fig" rid="F3"/>c) and remains isolated and intense also 1 h after hitting the city (Fig. <xref ref-type="fig" rid="F3"/>f).</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title><italic>City size</italic></title>
      <p id="d2e5245">In the numerical experiments <italic>city size</italic>, the effect of increasing the diameter of the city with the same characteristics as Milan on the supercell is investigated. The normalized mean value of the storm's UH in the <italic>city region</italic> is shown in Fig. <xref ref-type="fig" rid="F5"/>a for each ensemble member as a function of city diameter (the same plots for the <italic>upstream</italic> and <italic>downstream regions</italic> are displayed in Fig. S3). In the <italic>city region</italic>, there is a clear decreasing trend in UH, even with considerable ensemble spread. A similar pattern is observed in the <italic>upstream region</italic> (Fig. S4a), whereas in the <italic>downstream region</italic> a more consistent decreasing trend is seen across all ensemble members (Fig. S3c).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e5274"><bold>(a)</bold> Normalized mean UH (<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) in each ensemble member (black dots) of the <italic>city size</italic> set of experiments (Table <xref ref-type="table" rid="T4"/>) in function of the city diameter (km) in the <italic>city region</italic>. Ensemble members obtained with the same seed are connected. The mean linear fit is shown with a red line, while the 5 %–95 % confidence interval is red shaded. Panels <bold>(b)</bold>, <bold>(c)</bold> and <bold>(d)</bold> as in panel <bold>(a)</bold> but for the <italic>city size uf1</italic>, <italic>urban fraction</italic> and <italic>building height</italic> set of experiments, respectively. In panel <bold>(b)</bold>, a quadratic fit is shown with a purple line.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f05.png"/>

        </fig>

      <p id="d2e5330">Table <xref ref-type="table" rid="T9"/> presents the mean slopes for each storm diagnostic variable in the three regions. A general negative trend is observed, though it is statistically significant only for some of them<fn id="Ch1.Footn3"><p id="d2e5335"><inline-formula><mml:math id="M198" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> shows a positive trend. This is because the cold pools weaken as the storm weakens, leading to less pronounced negative <inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> anomalies associated with downdrafts – i.e., a relative increase in <inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>.</p></fn>. The trend is particularly significant in the <italic>city region</italic> and for the vertical velocity and vorticity at 500 hPa, and for UH. This indicates that the supercell weakens as city diameter increases, with the weakening more pronounced and statistically significantly lower than zero at the mid-levels and when the storm is over the city. The increasing trend shown by some ensemble members in Figs. S3a and <xref ref-type="fig" rid="F5"/>a suggests that, even if rare, an intensification of the supercell is possible in the <italic>upstream</italic> and <italic>city regions</italic>.</p>
      <p id="d2e5372">In the <italic>city size uf1</italic> experiments, a similar trend of the <italic>city size</italic> sample is observed, but the weakening of the storm is even more pronounced (Fig. <xref ref-type="fig" rid="F5"/>b). This weakening is particularly evident downstream of the city and, in this case, is statistically significantly lower than zero also for several low-level storm diagnostic variables (Table <xref ref-type="table" rid="T10"/>)<fn id="Ch1.Footn4"><p id="d2e5385">Note, however, that a positive trend in vertical vorticity at 850 and 700 hPa is observed in the <italic>city region</italic>, with statistical significance at 850 hPa.</p></fn>. In the <italic>city region</italic>, a quadratic fit is statistically significantly lower than zero (purple line in Fig. <xref ref-type="fig" rid="F5"/>b). For city diameters up to about 10 km, the city has little effect on the storm. However, in larger cities, the storm weakens faster with city size than a linear fit would suggest.</p>

<table-wrap id="T10" specific-use="star"><label>Table 10</label><caption><p id="d2e5401">Slope of fitting lines between diagnostic variables of the supercell and <italic>city size uf1</italic> experiments (<italic>size uf1</italic>, left block, units m<sup>−1</sup>), or urban fraction (uf, right block). Bolded values are statistically significant lower (or larger) than zero.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">variable</oasis:entry>
         <oasis:entry colname="col2">upstream</oasis:entry>
         <oasis:entry colname="col3">city</oasis:entry>
         <oasis:entry colname="col4">downstream</oasis:entry>
         <oasis:entry colname="col5">upstream</oasis:entry>
         <oasis:entry colname="col6">city</oasis:entry>
         <oasis:entry colname="col7">downstream</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<italic>size uf1</italic>)</oasis:entry>
         <oasis:entry colname="col3">(<italic>size uf1</italic>)</oasis:entry>
         <oasis:entry colname="col4">(<italic>size uf1</italic>)</oasis:entry>
         <oasis:entry colname="col5">(uf)</oasis:entry>
         <oasis:entry colname="col6">(uf)</oasis:entry>
         <oasis:entry colname="col7">(uf)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">wmax</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M202" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.9</bold><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M205" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.7</bold><inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M207" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.1</bold><inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w500</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M211" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>8.1</bold><inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M214" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.1</bold><inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M216" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.8</bold><inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M220" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>500</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M221" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.8</bold><inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M223" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.3</bold><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M225" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.3</bold><inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M227" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.6</bold><inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh max</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M231" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.1</bold><inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M233" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>6.8</bold><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M239" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>6.4</bold><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M241" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>7.7</bold><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M243" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>9.7</bold><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M245" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.9</bold><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w700</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M251" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.1</bold><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>700</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.45</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M259" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.7</bold><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w850</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M264" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.4</bold><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M266" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.3</bold><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M268" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.4</bold><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M273" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>850</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M275" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>7.1</bold><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M277" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>7.2</bold><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M279" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>2.2</bold><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w950</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M284" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>6.1</bold><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M286" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>5.6</bold><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M291" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>950</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M293" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>4.7</bold><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M295" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.7</bold><inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) max</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M301" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.6</bold><inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M303" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>2.4</bold><inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M310" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>9.6</bold><inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M313" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>7.1</bold><inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M317" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.7</bold><inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M319" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) min</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M321" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>1.1</bold><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M323" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>1.7</bold><inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M328" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M330" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>7.5</bold><inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M332" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>7.2</bold><inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e7705">The cumulative ensemble mean of UH clearly illustrates the effect of urban land use on the supercell. In the <italic>no_urban</italic> experiment, a substantial UH swath is present<fn id="Ch1.Footn5"><p id="d2e7711">The temporary reduction of UH over the city may be associated with a transition phase of the simulated supercell. During this stage, the storm may be more sensitive to environmental differences. However, since the only environmental differences in our experiments are urban-induced, this effect is expected to have a limited impact on the results.</p></fn> (Fig. <xref ref-type="fig" rid="F6"/>a), which is considerably weakened as it passes over the city (Fig. <xref ref-type="fig" rid="F6"/>b). The suppression becomes nearly complete in the <italic>uf1_30km</italic> experiment (Fig. <xref ref-type="fig" rid="F6"/>c). Notably, the suppression is significantly more pronounced in the <italic>city size uf1</italic> sample than in the <italic>city size</italic> sample (Fig. <xref ref-type="fig" rid="F6"/>d).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e7735">Cumulated UH ensemble mean in <bold>(a)</bold> the <italic>no_urban</italic> experiment (Table <xref ref-type="table" rid="T5"/>), <bold>(b)</bold> in the <italic>uf1_20km</italic> experiment, <bold>(c)</bold> in the <italic>uf1_30km</italic> experiment, <bold>(d)</bold> in the <italic>uf0.63_30km</italic> experiment (Table <xref ref-type="table" rid="T4"/>), <bold>(e)</bold> in the <italic>uf0.4</italic> experiment (Table <xref ref-type="table" rid="T6"/>), <bold>(f)</bold> in the <italic>uf1.0</italic> experiment. The city is highlighted in grey shading. In panel <bold>(a)</bold> the city of the <italic>20km</italic> experiment is shown just for reference, in the experiment there are croplands everywhere.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f06.png"/>

        </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e7797">As in Fig. <xref ref-type="fig" rid="F3"/>, but for the ensemble member 1 of the <italic>uf1_30km</italic> numerical experiment. Vertical velocities at 950 hPa higher than 0.5 m s<sup>−1</sup> are plotted with red contours. The blue arrows indicate the triggering of the urban-induced right-moving supercell.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f07.png"/>

        </fig>

      <p id="d2e7823">A noteworthy feature in the <italic>uf1_30km</italic> experiment is the emergence of a new UH swath north of the city (Fig. <xref ref-type="fig" rid="F6"/>c). To better understand this behavior, the same time steps showing maximum reflectivity from ensemble member 1 of the <italic>uf1_30km</italic> experiment (Fig. <xref ref-type="fig" rid="F7"/>) are compared with those from the control run of the <italic>uf0.63_10km</italic> experiment (Fig. <xref ref-type="fig" rid="F3"/>). In the <italic>uf1_30km</italic> experiment, the initial supercell is suppressed very early, already by 17:00 LT (Fig. <xref ref-type="fig" rid="F7"/>b). However, a stripe of vertical velocities exceeding 0.5 m s<sup>−1</sup> extends from the city toward the northwest. Just east of this stripe, new convective cells begin to develop between 17:40 (Fig. <xref ref-type="fig" rid="F7"/>c) and 18:20 LT (Fig. <xref ref-type="fig" rid="F7"/>e). By 19:00 LT, a new right-moving supercell forms from these earlier convective initiations (Fig. <xref ref-type="fig" rid="F7"/>f). Thus, in this simulation, the original supercell is suppressed, while a new, urban-induced supercell develops. This behavior occurs in 8 out of 11 members of the <italic>uf1_30km</italic> experiment and is not observed in any of the other experiments (see Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F8"/>). Additional evidence supporting the urban origin of the second supercell initiated at 19:00 LT will be presented in Sect. <xref ref-type="sec" rid="Ch1.S4"/>.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e7877">As in Fig. <xref ref-type="fig" rid="F6"/>, but for <bold>(a)</bold> <italic>h10</italic> experiment (Table <xref ref-type="table" rid="T7"/>), <bold>(b)</bold> <italic>h60</italic> experiment, <bold>(c)</bold> <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> experiment (Table <xref ref-type="table" rid="T7"/>), <bold>(d)</bold> <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> experiment, <bold>(e)</bold> <italic>green roofs</italic> experiment (Table <xref ref-type="table" rid="T3"/>) and <bold>(f)</bold> <italic>no_thermo</italic> experiment (Table <xref ref-type="table" rid="T3"/>).</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Urban fraction</title>
      <p id="d2e7962">In the <italic>urban fraction</italic> experiments, most storm diagnostic variables decrease as a function of the urban fraction (Table <xref ref-type="table" rid="T10"/>). However, only some of these trends are statistically significantly lower than zero in the <italic>upstream region</italic>. By contrast, no statistically significant trends are observed in the <italic>city</italic> and <italic>downstream region</italic> (except for <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) in the <italic>downstream region</italic>). In the <italic>upstream region</italic>, the ensemble spread is relatively small (Fig. S5a), which leads to statistically significant trends – even though the slope of the mean linear fit is smaller than in the other two regions. Nevertheless, examining the ensemble mean of the UH swath in the <italic>uf0.4</italic> and <italic>uf1.0</italic> experiments (Fig. <xref ref-type="fig" rid="F6"/>e, f) reveals a visible weakening of the storm. We conclude that the supercell weakens with increasing urban fraction, although this trend is not statistically significant lower than zero.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Building height</title>
      <p id="d2e8013">An opposite trend is observed in the supercell's sensitivity to building height. In all three regions, the mean UH increases with increasing building height (Figs. <xref ref-type="fig" rid="F5"/>d and S6). The positive trend in mean UH is statistically significantly larger than zero across all three regions studied (Table <xref ref-type="table" rid="T11"/>). Other mid-level storm diagnostic variables exhibit a similar positive trend; however, these trends are statistically significantly larger than zero only in the <italic>upstream</italic> and <italic>city regions</italic> for some variables (e.g., w500 and w700). In agreement with this result, the ensemble mean of the UH swath in the <italic>h60</italic> experiment (Fig. <xref ref-type="fig" rid="F8"/>b) is higher than in the <italic>h10</italic> experiment (Fig. <xref ref-type="fig" rid="F8"/>a).</p>

<table-wrap id="T11" specific-use="star"><label>Table 11</label><caption><p id="d2e8040">Slope of fitting lines between diagnostic variables of the supercell and building heights (<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, left block, units m<sup>−1</sup>), or building density (<inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, right block). Bolded values are statistically significant lower (or larger) then zero.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">variable</oasis:entry>
         <oasis:entry colname="col2">upstream</oasis:entry>
         <oasis:entry colname="col3">city</oasis:entry>
         <oasis:entry colname="col4">downstream</oasis:entry>
         <oasis:entry colname="col5">upstream</oasis:entry>
         <oasis:entry colname="col6">city</oasis:entry>
         <oasis:entry colname="col7">downstream</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">wmax</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M351" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>6.8</bold><inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M353" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>9.4</bold><inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M356" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.2</bold><inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w500</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M360" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>8.0</bold><inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M362" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>8.6</bold><inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M365" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>8.0</bold><inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M369" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>500</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M370" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>8.1</bold><inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M374" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.6</bold><inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh max</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M379" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>1.8</bold><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M383" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.8</bold><inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">uh mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M386" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>5.1</bold><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M388" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>2.0</bold><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M390" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>6.3</bold><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w700</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M395" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>3.2</bold><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M397" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>6.3</bold><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M401" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.4</bold><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M404" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>700</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w850</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M417" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>850</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">w950</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M424" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>2.1</bold><inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M426" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.2</bold><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M429" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>1.1</bold><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M431" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>5.1</bold><inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M434" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>950</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M436" display="inline"><mml:mo mathvariant="bold">-</mml:mo></mml:math></inline-formula><bold>3.1</bold><inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M439" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>1.3</bold><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) max</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M445" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>5.5</bold><inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M447" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>9.5</bold><inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>(500 hPa) mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M455" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>4.3</bold><inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M460" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) min</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M462" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>3.4</bold><inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M466" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>1.7</bold><inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M469" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>(5 m) mean</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.0</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M474" display="inline"><mml:mo mathvariant="bold">+</mml:mo></mml:math></inline-formula><bold>6.9</bold><inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="bold">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="bold">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e10383">In contrast, low-level storm diagnostic variables show a decreasing trend with increasing building height (Table <xref ref-type="table" rid="T11"/>), and this trend is statistically significantly lower than zero for some variables (e.g., w950 in the <italic>city region</italic>). This result is surprising and interesting, as it contrasts with the storm behavior aloft and also with the hypothesis that taller buildings should enhance vertical motions due to the building-barrier effect and mass conservation (e.g., <xref ref-type="bibr" rid="bib1.bibx17" id="altparen.65"/>).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Building density</title>
      <p id="d2e10404">Variables describing the storm's mid-level characteristics show a general weakening trend in the <italic>upstream</italic> and <italic>city regions</italic> with increasing building density (Table <xref ref-type="table" rid="T11"/>). However, this trend is statistically significantly smaller than zero only for some variables (e.g., w500 and <inline-formula><mml:math id="M477" display="inline"><mml:mi mathvariant="italic">ζ</mml:mi></mml:math></inline-formula>500, Table <xref ref-type="table" rid="T11"/>). The mean UH does not exhibit a clear trend with increasing building density (Fig. S7). Low-level storm diagnostic variables do not show a consistent trend. In general, in the <italic>downstream region</italic>, no clear trend is observed either aloft or near the surface, and none of the studied variables exhibit statistically significant trends.</p>
      <p id="d2e10428">The ensemble mean of the UH swath shows slightly lower values <italic>downstream</italic> of the city in the <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula> experiment (Fig. <xref ref-type="fig" rid="F8"/>d) compared to the <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">b</mml:mi></mml:msub><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> experiment (Fig. <xref ref-type="fig" rid="F8"/>c). Overall, we conclude that the storm does exhibit some sensitivity to building density; however, this parameter appears to be the least influential in determining storm dynamics among the previously studied parameters.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Additional experiments</title>
      <p id="d2e10472">Comparing Fig. <xref ref-type="fig" rid="F6"/>c with Fig. <xref ref-type="fig" rid="F8"/>e, it is evident that the weakening of the storm as it passes over the city is much less pronounced when the roofs are covered with vegetation (<italic>green roof</italic> experiment). Furthermore, using the rural energetic balance in the <italic>no_thermo</italic> experiment (Fig. <xref ref-type="fig" rid="F8"/>f) results in a UH swath that is very similar to that of the <italic>no_urban</italic> experiment (Fig. <xref ref-type="fig" rid="F6"/>a). Thus, the greater the amount of vegetation in a city, the less effect the city has on the approaching storm.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results: Sensitivity of the pre-storm environment to the urban morphological parameters</title>
      <p id="d2e10502">To understand the urban effects on the simulated storm, we examine how urban morphological parameters influence near-surface variables, CAPE, SRH, and w950 at 16:00 LT (the time of convective initiation). This analysis compares ensemble-mean differences between simulations using the highest values of the morphological parameters (“max value” column in Table <xref ref-type="table" rid="T3"/>) and those using the lowest values (“zero value” column in Table <xref ref-type="table" rid="T3"/>).</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e10511">Ensemble mean of temperature (color shading) and specific humidity (contours every 0.5 g kg<sup>−1</sup>, blue negative, red positive) in the first model level (about 5 m a.g.l.), and 10 m wind difference (vectors) at 16:00 LT between <bold>(a)</bold> <italic>uf0.63_30km</italic> and <italic>no_urban</italic> experiments; <bold>(b)</bold> <italic>uf1_30km</italic> and <italic>no_urban</italic> experiments; <bold>(c)</bold> <italic>uf1.0</italic> and <italic>uf0.4</italic> experiments; <bold>(d)</bold> <italic>h60</italic> and <italic>h10</italic> experiments; <bold>(e)</bold> <inline-formula><mml:math id="M481" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><italic>1.2</italic> and<inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><italic>0.3</italic> experiments; <bold>(f)</bold> <italic>no_thermo</italic> and <italic>no_urban</italic> experiments. The city is shown with grey shading.</p></caption>
        <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f09.png"/>

      </fig>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e10611">Ensemble mean of mean sea level pressure difference at 16:00 LT between <bold>(a)</bold> <italic>uf0.63_30km</italic> and <italic>no_urban</italic> experiments; <bold>(b)</bold> <italic>uf1_30km</italic> and <italic>no_urban</italic> experiments; <bold>(c)</bold> <italic>uf1.0</italic> and <italic>uf0.4</italic> experiments; <bold>(d)</bold> <italic>h60</italic> and <italic>h10</italic> experiments; <bold>(e)</bold> <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><italic>1.2</italic> and<inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula><italic>0.3</italic> experiments; <bold>(f)</bold> <italic>no_thermo</italic> and <italic>no_urban</italic> experiments. The 10 m wind of the minuend simulation of the subtraction is shown with vectors. The city is shown with grey shading.</p></caption>
        <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f10.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Near-surface variables</title>
      <p id="d2e10705">The <italic>uf0.63_30km</italic> simulations produce a weak UHI of about 1.5 K over the city (Fig. <xref ref-type="fig" rid="F9"/>a), in good agreement with typical daytime UHI magnitudes (e.g., <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx64 bib1.bibx3" id="altparen.66"/>). A pronounced UDI is also reproduced (peak of <inline-formula><mml:math id="M485" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 g kg<sup>−1</sup>), corresponding to a relative humidity difference of about 13 % between the city and the surrounding rural areas, consistent with several other studies <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx39 bib1.bibx40 bib1.bibx37" id="paren.67"/>. A wake of higher temperatures and lower humidity extends downwind (with respect to the southeasterly surface wind) up to 80 km from the city. Within this wake, a wind convergence is induced by the urban land use, while winds over the city are significantly reduced by increased drag. In the <italic>uf1_30km</italic> simulations, the UHI and UDI are slightly stronger, but the spatial pattern is similar (Fig. <xref ref-type="fig" rid="F9"/>b).</p>
      <p id="d2e10744">The impact of urban fraction on UHI and UDI is much smaller than that of city size, about 0.5 K and <inline-formula><mml:math id="M487" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0 g kg<sup>−1</sup>, respectively (Fig. <xref ref-type="fig" rid="F9"/>c). The downwind wind convergence is also weaker. A more compact city does not significantly alter the UHI or UDI but does reduce surface winds over the city (Fig. <xref ref-type="fig" rid="F9"/>e).</p>
      <p id="d2e10770">An interesting result is that taller buildings reduce the UHI by about 1 K and increase moisture by 0.5 g kg<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F9"/>d). Wind speeds are weaker in simulations with taller buildings, as well as the wind convergence downwind of the city. The reduction in temperature and increase in moisture in the urban canopy are likely due to reduced ventilation and consequent moisture stagnation <xref ref-type="bibr" rid="bib1.bibx78" id="paren.68"/>. Our simulations begin with high moisture in the PBL, which decreases during the day due to mixing. In deeper urban canopies, drying is slower due to building shade, resulting in lower temperatures and higher moisture <xref ref-type="bibr" rid="bib1.bibx28" id="paren.69"/>.</p>
      <p id="d2e10793">Finally, in the <italic>no_thermo</italic> experiment, the UHI and UDI are eliminated, as expected, while maintaining the wind reduction over the city (Fig. <xref ref-type="fig" rid="F9"/>f). This experiment can be interpreted as preserving the city's dynamic perturbation on the atmosphere (the building-barrier effect) while suppressing its thermodynamic effect (the UHI and UDI). Overall, city size is the factor with the most decisive influence on the UHI, consistent with previous studies <xref ref-type="bibr" rid="bib1.bibx89" id="paren.70"/>.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e10807">Ensemble mean of <bold>(a)</bold> total pressure perturbations <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msup><mml:mi>p</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> at 300 m a.g.l. in the <italic>uf1_30km</italic> experiment at 16:00 LT; panel <bold>(b)</bold> as panel <bold>(a)</bold> but for buoyancy pressure perturbations <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; panel <bold>(c)</bold> as panel <bold>(b)</bold> but for dynamic pressure perturbations <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>; panels <bold>(d)</bold>, <bold>(e)</bold> and <bold>(f)</bold> as panel <bold>(a)</bold>, <bold>(b)</bold> and <bold>(c)</bold>, respectively, but for the <italic>h60</italic> experiment.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f11.png"/>

        </fig>

      <p id="d2e10894">To understand the urban-induced flow perturbations, the sea level pressure field is investigated. A weak minimum (about <inline-formula><mml:math id="M493" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5 hPa) is generated downwind of the city (with respect to the surface winds) by the urban land use (Fig. <xref ref-type="fig" rid="F10"/>a). The downwind pressure minimum coincides with the wind convergence. With a higher urban fraction, the pressure minimum is stronger (about <inline-formula><mml:math id="M494" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0 hPa; Fig. <xref ref-type="fig" rid="F10"/>b), as also suggested by the comparison between the <italic>uf1.0</italic> and <italic>uf0.4</italic> experiments (Fig. <xref ref-type="fig" rid="F10"/>c). On the other hand, with taller buildings, the pressure minimum is slightly weaker (about 0.2 hPa; Fig. <xref ref-type="fig" rid="F10"/>d), while a more compact city plays only a marginal role in intensifying it (Fig. <xref ref-type="fig" rid="F10"/>e). Lastly, in the <italic>no_thermo</italic> experiment, the pressure minimum is absent (Fig. <xref ref-type="fig" rid="F10"/>f).</p>
      <p id="d2e10933">A relationship between the UHI and the mean sea-level pressure is evident: in simulations with a stronger UHI (e.g., <italic>uf1_30km</italic> experiment), the pressure minimum is also stronger, whereas when the UHI is weaker (<italic>h60</italic> experiment) or absent (<italic>no_thermo</italic> experiment), the pressure minimum is weaker or absent. Thus, it appears that the pressure minimum is thermodynamically induced by the UHI (i.e., it is a consequence of the buoyancy and not of the dynamical modification of the flow by the buildings). To further support this hypothesis, an additional analysis is carried out. The dynamic <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and buoyancy <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> pressure perturbations are computed for the ensemble mean of the <italic>uf1_30km</italic> simulations. The elliptic partial differential equations that define <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> are solved using a Gauss–Seidel iterative method. The reference <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value is taken from the ensemble mean of the <italic>no_urban</italic> experiment. Figure <xref ref-type="fig" rid="F11"/> shows the results at the 10th vertical level (about 300 m a.g.l.). Buoyancy pressure perturbations <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">b</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> clearly dominate the generation of the downstream pressure minimum, consistent with the previously noted sensitivity between the pressure minimum and the intensity of the UHI. The contribution of the dynamic pressure perturbations <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msubsup><mml:mi>p</mml:mi><mml:mi mathvariant="normal">d</mml:mi><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is negligible. This outcome is also valid for the <italic>h60</italic> experiment (Fig. <xref ref-type="fig" rid="F11"/>d, e, f): tall buildings have a marginal effect on the generation of the downwind pressure minimum with respect to the thermodynamic modification of the PBL induced by urban land use.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e11051">As in Fig. <xref ref-type="fig" rid="F10"/>, but for CAPE. In panel <bold>(a)</bold> the storm tracks of the <italic>uf0.63_30km</italic> experiment are plotted.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f12.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>SB CAPE</title>
      <p id="d2e11076">Surface Based Convective Available Potential Energy (SB CAPE) is markedly reduced by urban land use along a wake downstream of the city (Fig. <xref ref-type="fig" rid="F12"/>a, b). The simulated storms cross the southern lobe of the urban plume with reduced SB CAPE (Fig. <xref ref-type="fig" rid="F12"/>a). Note that the spatial spread of the supercell tracks over the city is about 5 km, and all tracks pass through areas with similar urban-modified environmental characteristics. The reduction in SB CAPE reaches up to 1000 J kg<sup>−1</sup> and coincides with the wake of higher temperature and lower moisture observed in Fig. <xref ref-type="fig" rid="F9"/>. Urban fraction contributes to a decrease in SB CAPE of about 200 J kg<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F12"/>c), while taller buildings increase SB CAPE by up to 400 J kg<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F12"/>d). Building density has no significant effect on SB CAPE (Fig. <xref ref-type="fig" rid="F12"/>e), consistent with the results previously discussed for other near-surface variables. In the <italic>no_thermo</italic> experiment, SB CAPE is unaffected by the presence of the buildings (Fig. <xref ref-type="fig" rid="F12"/>f).</p>
      <p id="d2e11133">The same sensitivity of SB CAPE to urban morphological parameters observed for moisture suggests that the decrease in moisture more than offsets the temperature increase. Indeed, the Skew-T comparisons among the <italic>uf1_30km</italic> and <italic>no_urban</italic> experiments in Fig. <xref ref-type="fig" rid="F13"/> show that the drier, deeper and warmer PBL in the urban simulations (dashed lines) drives a reduction of CAPE area. While the UHI drives the generation of the downwind pressure minimum, the UDI drives the formation of the wake with reduced SB CAPE.</p>

      <fig id="F13"><label>Figure 13</label><caption><p id="d2e11146">Ensemble mean Skew-T profile taken over the city center in the <italic>uf1_30km</italic> experiment (dashed lines) and in the <italic>no_urban</italic> case (solid lines) at 17:30 LT  (right before the storm hit the city). Red lines are temperature, green lines are dew point temperature and black lines are surface based parcel profiles. In the upper-right part of the figure the ensemble mean hodograph in the <italic>uf1_30km</italic> experiment is shown. A spatial average considering grid-points within 5 km from the urban center has been performed.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f13.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Vertical Velocities at 950 hPa</title>
      <p id="d2e11173">To assess the city's capacity to trigger convection, the differences in ensemble means of vertical velocity at 950 hPa are analyzed at 16:00 LT, before storm initiation. Upstream and over the city, no remarkable vertical velocities are induced by urban land use (Fig. <xref ref-type="fig" rid="F14"/>a, b). In contrast, downstream of the city, a line of intensified vertical velocity extends up to 60 km from the city. In the <italic>uf1_30km</italic> experiment, the intensified vertical velocity reaches locally up to 1 m s<sup>−1</sup>. This line coincides with the surface wind convergence. A higher urban fraction produces stronger vertical velocities (Fig. <xref ref-type="fig" rid="F14"/>c), while taller buildings reduce their intensity (Fig. <xref ref-type="fig" rid="F14"/>d). A more compact city slightly intensifies vertical velocities downstream (Fig. <xref ref-type="fig" rid="F14"/>e), whereas vertical velocities are not produced in the <italic>no_thermo</italic> experiment (Fig. <xref ref-type="fig" rid="F14"/>f).</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e11207">As in Fig. <xref ref-type="fig" rid="F10"/>, but for vertical velocities at 950 hPa.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f14.png"/>

        </fig>

      <p id="d2e11218">The intensification of vertical velocities is related to the intensity of the UHI. A stronger UHI leads to a deeper pressure minimum, more vigorous surface wind convergence, and stronger vertical velocities. For example, in the simulation with taller buildings, vertical velocities are weaker (Fig. <xref ref-type="fig" rid="F14"/>d) because both the pressure minimum (Fig. <xref ref-type="fig" rid="F10"/>d) and the UHI (Fig. <xref ref-type="fig" rid="F9"/>d) are weaker. In the <italic>no_thermo</italic> experiment, vertical velocities are absent (Fig. <xref ref-type="fig" rid="F14"/>f) because neither a pressure minimum (Fig. <xref ref-type="fig" rid="F10"/>f) nor a UHI (Fig. <xref ref-type="fig" rid="F9"/>f) develops. Furthermore, building heights do not induce significant vertical velocities. In the <italic>no_thermo</italic> experiment 20 m tall buildings are present but there are no vertical velocities (Fig. <xref ref-type="fig" rid="F14"/>f). Moreover, in the experiment with 60 m tall buildings (<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula>) vertical velocities are weaker along the convergence and more positive, i.e., closer to zero, where there is subsidence in the edges of the urban plume (Fig. <xref ref-type="fig" rid="F14"/>d). This result explains why low-level vertical velocities in the simulated supercell do not increase with increasing building height, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/> (Table <xref ref-type="table" rid="T11"/>).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Wind Shear: SRH 0–3 km</title>
      <p id="d2e11268">In the <italic>uf0.63_30km</italic> and <italic>uf1_30km</italic> experiments, SRH 0–3 km is reduced by up to 100 J kg<sup>−1</sup> (about 50 % less than in the <italic>no_urban</italic> simulations) south of the convergence line discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS3"/>, and increased north of it with a similar magnitude (Fig. <xref ref-type="fig" rid="F15"/>a). The increase (reduction) of SRH north (south) of the convergence line is due to the greater (smaller) veering of the wind caused by a stronger (weaker) surface easterly wind component (Fig. <xref ref-type="fig" rid="F9"/>a) and a stronger pressure minimum. Thus, the modifications of SRH are ultimately induced by the pressure minimum generated by the UHI. An higher urban fraction amplifies this SRH pattern (Fig. <xref ref-type="fig" rid="F15"/>c). In contrast, taller buildings cause the opposite pattern, i.e., higher SRH values south of the convergence line, due to the weaker pressure minimum. In the <italic>building density</italic> and <italic>no_thermo</italic> experiments, the SRH is almost unperturbed, except for slightly higher values over the city (Fig. <xref ref-type="fig" rid="F15"/>e, f). The increase of SRH over the city results from reduced surface winds (Fig. <xref ref-type="fig" rid="F9"/>e, f), consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx59" id="text.71"/>. The spatial patterns in SRH 0–1 km are similar to those exhibited in SRH 0–3 km.</p>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e11317">As in Fig. <xref ref-type="fig" rid="F10"/> but for SRH 0–3 km.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f15.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Further insights into the storm-urban plume interaction</title>
      <p id="d2e11336">The thermal bubble that initiates the storm was positioned to steer the storm toward the urban center (Fig. <xref ref-type="fig" rid="F6"/>). However, the wind profile pushes the urban plume northwestward, so that the strongest urban perturbations are not located over the city, but downwind of it (Figs. <xref ref-type="fig" rid="F12"/>, <xref ref-type="fig" rid="F15"/>, <xref ref-type="fig" rid="F14"/>), as previously observed. Thus, the storm is not interacting with the most intense urban perturbations in the simulations discussed so far.</p>
      <p id="d2e11347">To verify the effect of a more direct interaction between the storm and the urban plume, the <italic>storm_shifted</italic> experiment was run, in which the storm is shifted 22 km northwestward and the city considered is 30 km wide with an urban fraction of 1.0. The results are displayed in Fig. <xref ref-type="fig" rid="F16"/>a. In that case, the storm dissipates even more quickly, and the generation of new convective cells is observed northeast of the city. Hence, the results are not different from those obtained in the <italic>uf1_30km</italic> experiment. Even though the storm interacts with a stronger positive perturbation of SRH, the negative perturbation of CAPE is even more pronounced, causing the storm to dissipate faster.</p>

      <fig id="F16" specific-use="star"><label>Figure 16</label><caption><p id="d2e11360"><bold>(a)</bold> Ensemble mean of UH values exceeding 80 J kg<sup>−1</sup> in the uf1_30km simulations (black shading), and the storm_shift experiment (blue shading). The ensemble mean difference in CAPE smaller than <inline-formula><mml:math id="M509" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>300 J kg<sup>−1</sup> (red contour), in SRH bigger than 20 J kg<sup>−1</sup> (green contour) and in w950 greater than 0.2 m s<sup>−1</sup> (magenta contour) between the <italic>storm_shifted</italic> experiment and the <italic>no_urban</italic> experiment is indicated with a red contour. The ensemble mean of 10 m wind field from the <italic>uf1_30km</italic> experiment at 16:00 LT is shown with grey arrows. The city location is outlined with a black contour. <bold>(b)</bold> The ensemble mean of the difference in equivalent potential temperature <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (colour shading) and of potential temperature <inline-formula><mml:math id="M514" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> (contour lines) between the <italic>uf1_30km</italic> experiment and the no_urban one along the cross section AB in panel <bold>(a)</bold> is shown. Panel <bold>(c)</bold> as in panel <bold>(b)</bold> but the ensemble mean <inline-formula><mml:math id="M515" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> (contour lines) and the ensemble mean differences in vertical velocities (colour shading) are shown.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f16.png"/>

        </fig>

      <p id="d2e11478">Another interesting observation is that, in some ensemble members (e.g., Fig. <xref ref-type="fig" rid="F7"/>b), storm dissipation occurs before the storm actually reaches the negative SB CAPE perturbation, raising doubts as to whether this is the actual mechanism driving the dissipation. Investigating the urban-induced perturbations along a cross-section taken along the storm's path (line AB in Fig. <xref ref-type="fig" rid="F16"/>a) reveals that the area of low equivalent potential temperature (<inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) over the city, driven by the moisture reduction, extends upstream (with respect to storm motion, i.e., toward point A) at the top of the boundary layer (around 1500 m, Fig. <xref ref-type="fig" rid="F16"/>b). In that area, an increase in potential temperature <inline-formula><mml:math id="M517" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula> is also present (Fig. <xref ref-type="fig" rid="F16"/>b), associated with regions of subsidence (Fig. <xref ref-type="fig" rid="F16"/>c). These features suggest enhanced inhibition (due to higher <inline-formula><mml:math id="M518" display="inline"><mml:mi mathvariant="normal">Θ</mml:mi></mml:math></inline-formula>), entrainment of more stable air (due to lower <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and subsidence at the top of the boundary layer upstream of the city; this likely promotes early storm dissipation. The early dissipation occurs only in a few ensemble members, where CAPE was already reduced in the <italic>no_urban</italic> experiment due to ensemble stochasticity. Hence, storm dissipation is primarily driven by the UDI, which reduces CAPE and <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, but regions of subsidence associated with UHI-induced vertical motions may favour this process.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d2e11553">In the current study, the ensembles of idealized numerical experiments consistently show a weakening of a supercell moving into a city due to the urban land use, especially down-track of the city. This weakening is significant primarily in medium- to large-sized cities with a high urban fraction (Fig. <xref ref-type="fig" rid="F5"/>). For smaller cities, the effect is less evident and not statistically significant, with some ensemble members showing that the supercell is even intensified. The weakening of the supercell is caused by the UDI, which drives a substantial reduction in SB CAPE of up to 1000 J kg<sup>−1</sup> in the presence of a large city (Fig. <xref ref-type="fig" rid="F12"/>). This reduction occurs in the wake downstream of the city (relative to the surface winds; Fig. <xref ref-type="fig" rid="F17"/>a). Some previous studies found higher CAPE values in urban areas <xref ref-type="bibr" rid="bib1.bibx47" id="paren.72"/>, while others noticed that urban land use can reduce CAPE (e.g., <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx59 bib1.bibx81" id="altparen.73"/>), with reduced moisture availability suggested as a possible explanation <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx25" id="paren.74"/>. To the authors' knowledge, this is the first time that an urban-induced reduction of CAPE has been directly linked to an urban-induced weakening of storms. Our conclusions differ markedly from those of <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx51" id="text.75"/>, who did not consider the UDI in their idealized setup. This factor proves crucial in shaping supercell dynamics in our simulations.</p>

      <fig id="F17" specific-use="star"><label>Figure 17</label><caption><p id="d2e11589"><bold>(a)</bold> Summary of the results obtained in this study regarding the interaction between supercell storms and a city: the UHI and UDI (red shading), city (black histogram), supercell (yellowish-reddish shading with hook-echo shape), pressure minumum (letter L) and wind convergence (red arrows) are shown. Panel <bold>(b)</bold> as in panel <bold>(a)</bold>, but for a weak flow situation without supercells.</p></caption>
        <graphic xlink:href="https://wcd.copernicus.org/articles/7/2015/2026/wcd-7-2015-2026-f17.png"/>

      </fig>

      <p id="d2e11606">With a sufficiently large city and a high urban fraction, a new urban-induced supercell develops in 8 out of 11 ensemble members downstream of the city, while the initial incoming supercell is dissipated by the UDI (e.g., Fig. <xref ref-type="fig" rid="F7"/>). This new urban-induced supercell is triggered by a convergence line downstream of the city, generated by a pressure minimum of about 1 hPa (Fig. <xref ref-type="fig" rid="F17"/>a). The UHI thermodynamically induces a pressure minimum, as it was already suggested by <xref ref-type="bibr" rid="bib1.bibx62" id="text.76"/>, which in turn produces the convergence line (Fig. <xref ref-type="fig" rid="F10"/>). The connection between the pressure minimum and the UHI is supported by a quantitative analysis of pressure perturbations (Fig. <xref ref-type="fig" rid="F11"/>) and by an ad hoc experiment called <italic>no_thermo</italic>. Although in our experiments the generation of the urban-induced supercell occurs only with a 30 km-wide city and an urban fraction of 1.0, it could also occur with smaller cities and lower urban fractions. The key requirement may simply be a sufficiently strong UHI combined with an environment conducive to supercells. In our numerical simulations, the threshold for the development of an urban-induced supercell corresponds to a UHI of 1.5 K, which is not particularly high.</p>
      <p id="d2e11625">The urban-induced reductions in moisture and CAPE obtained in our simulations are larger than those published so far. The simulated reduction of relative humidity (13 %) is in line with the annual mean reductions observed in Moscow (9 %, <xref ref-type="bibr" rid="bib1.bibx37" id="altparen.77"/>) and Beijing (<inline-formula><mml:math id="M522" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>12 %, <xref ref-type="bibr" rid="bib1.bibx39" id="altparen.78"/>), whereas the reduction of specific humidity (<inline-formula><mml:math id="M523" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2 g kg<sup>−1</sup>) is about 0.6 g kg<sup>−1</sup> larger than the peak summer reduction of 1.4 g kg<sup>−1</sup> found by <xref ref-type="bibr" rid="bib1.bibx45" id="text.79"/> over 1089 stations worldwide and 29 years. The difference is larger for CAPE: our reduction of up to 1000 J kg<sup>−1</sup> is about twice the <inline-formula><mml:math id="M528" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 450 J kg<sup>−1</sup> obtained by <xref ref-type="bibr" rid="bib1.bibx59" id="text.80"/>, and 1 order of magnitude larger than the 40–100 J kg<sup>−1</sup> reported by simulations averaged over several summers <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx81" id="paren.81"/> or over a 4 d period <xref ref-type="bibr" rid="bib1.bibx83" id="paren.82"/>. A plausible explanation is that most previous studies consider seasonal or multi-year averages, which smooth out the diurnal and seasonal cycles of UDIs <xref ref-type="bibr" rid="bib1.bibx28" id="paren.83"/>: in terms of specific humidity, UDIs are strongest in the warm season and in the late afternoon <xref ref-type="bibr" rid="bib1.bibx45" id="paren.84"/>, when severe storms are more frequent, so that individual events may exhibit larger moisture reductions than long-term averages. In addition, our idealized city was designed to represent an extreme case (30 km wide, with a high urban fraction and no water bodies), whereas Dallas–Fort Worth, the city considered by <xref ref-type="bibr" rid="bib1.bibx59" id="text.85"/>, includes several rivers and lakes that may attenuate the UDI. Finally, we cannot exclude that BEP-BEM contributes to enhancing the urban drying.</p>
      <p id="d2e11751">The analysis was conducted under a fixed environment. We cannot exclude the possibility that a wide variety of interactions, some of which may include storm invigoration, could occur in different environments, depending on the trajectory of the storm, the topology of the city-induced perturbations, and the ground-relative flow. For instance, with a strongly veered environment that leads to a southeastward propagating storm, a storm may traverse the lobe with positive SRH perturbations, potentially leading to a storm intensification. Interestingly, this seems the case of <xref ref-type="bibr" rid="bib1.bibx35" id="text.86"/>, who found a supercell intensification induced by the urban land use. Looking to their Fig. 8 seems that the supercell is initiated in the region with urban-induced wind convergence north of town, as in our case (Fig. <xref ref-type="fig" rid="F14"/>a). Their supercell storm could be the equivalent of our idealized urban-induced supercell (Fig. <xref ref-type="fig" rid="F7"/>), but with a southward propagation.</p>
      <p id="d2e11761">There is some observational evidence supporting these numerical results. The radar-based climatological study of <xref ref-type="bibr" rid="bib1.bibx33" id="text.87"/> found that, for four Great Plains cities in the United States, reflectivity values of approaching storms were higher upwind than downwind. The opposite pattern was observed, however, when selecting an urban-favorable subset of nonsupercells occurring during summer under weak synoptic forcing. Similarly, the radar-based study of <xref ref-type="bibr" rid="bib1.bibx38" id="text.88"/> found that storms striking Berlin, Germany, were more frequently weakened than intensified. Thus, in strongly forced environments, it is not uncommon for approaching storms to be dissipated or weakened by cities, as is observed in our numerical simulations. This scenario has received relatively little attention in the literature, as most studies have focused on the potential of cities to generate urban storms and enhance precipitation (e.g., <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx69" id="altparen.89"/>). The latter outcome is likely common in weakly forced synoptic environments and can also occur at times under strongly forced conditions, with the generation of severe storms downstream urban areas (e.g., <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx59" id="altparen.90"/>). However, the weakening of approaching severe storms by urban land use is an equally important outcome that should be highlighted.</p>
      <p id="d2e11776">An additional relevant difference from previous studies is that the effect of building height on storms is negligible in our experiments, even with 60 m tall buildings. In these cases, the pressure minimum is still induced by the UHI (Fig. <xref ref-type="fig" rid="F11"/>), and the vertical velocities generated by 60 m tall buildings are much weaker than those associated with the UHI-induced pressure minimum (Fig. <xref ref-type="fig" rid="F14"/>d). Furthermore, building height is not correlated with higher values of low-level vertical velocities in the simulated supercell (Table <xref ref-type="table" rid="T11"/>). These results are consistent with the recently published work of <xref ref-type="bibr" rid="bib1.bibx74" id="text.91"/>, who found that the enhanced vertical velocities observed over some real cities in their simulations were primarily driven by thermodynamic processes rather than by dynamical roughness effects. Thus, there is growing agreement that the dynamical influence of buildings on convective storms may be marginal in a strongly synoptically forced environment. Nevertheless, the building-barrier effect could still play a role in other strongly forced situations not explored in these idealized simulations, such as QLCS events with intense outflows (e.g., <xref ref-type="bibr" rid="bib1.bibx15" id="altparen.92"/>) or tornadic events with more intense surface flows. In general, under such conditions, the influence of buildings may be more significant.</p>
      <p id="d2e11791">The marginal effect of buildings on convective storms is likely valid for most atmospheric environments <xref ref-type="bibr" rid="bib1.bibx74" id="paren.93"/>. If building height has little impact on storms under moderate surface flows, its influence should be even less relevant in weakly forced environments. For this reason, we argue that our conceptual model can be extended to such environments. Under weak flow conditions, the UHI-induced pressure minimum is not advected downstream but remains centered over the urban area, as also suggested by some recent case study analysis <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx32 bib1.bibx22 bib1.bibx66" id="paren.94"/>. Consequently, storms can be triggered over the urban area in such situations.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e11808">The simulations carried out in this work permit to provide a tentative answer to the questions originally posed in the Introduction. <list list-type="custom"><list-item><label>Question 1:</label>
      <p id="d2e11814"><italic>Can a city modify a supercell?</italic></p>
      <p id="d2e11818">A statistically significant weakening of the approaching supercell is observed. In contrast, in some ensemble members, a new supercell is triggered downstream when a sufficiently large city is included in the domain, highlighting the dual effect of cities on supercell storms.</p></list-item><list-item><label>Question 2:</label>
      <p id="d2e11822"><italic>What are the physical processes that cause those modifications?</italic></p>
      <p id="d2e11826">Most of the observed modifications are attributed to thermodynamic changed in the PBL induced by urban surfaces. The UDI weakens an approaching storm by reducing CAPE. At the same time, the UHI generates a pressure minimum, capable of inducing downstream wind convergence that can trigger a new urban-induced supercell when the UHI is sufficiently intense. The effect of building heights on supercell dynamics is negligible.</p></list-item></list></p>
      <p id="d2e11829">Even though these results were obtained from a specific atmospheric profile, they are consistent with radar climatologies of urban storms <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx33" id="paren.95"/>. A further interesting outcome of this work is the simulated supercell's sensitivity to surface conditions. Relatively small differences in temperature (1 K) and moisture (1 g kg<sup>−1</sup>) are sufficient to alter supercell behavior markedly. A direct implication of this result is that operational weather-forecasting models must be driven by up-to-date land-use data. For instance, changes in vegetation caused by drought, if not assimilated into the models, can lead to significantly inaccurate forecasts (see also <xref ref-type="bibr" rid="bib1.bibx87" id="altparen.96"/>).</p>
      <p id="d2e11850">Several limitations remain that should be addressed in future work. Although the building parametrization employed is highly sophisticated <xref ref-type="bibr" rid="bib1.bibx44" id="paren.97"/> and has been shown to be reliable <xref ref-type="bibr" rid="bib1.bibx90" id="paren.98"/>, it does not explicitly resolve the effect of buildings on the atmosphere. This approach remains appropriate for the mesoscale focus of this study; however, small-scale urban processes – which may, in some situations, strongly influence urban storms (e.g., under shallow surface-based inflow layers) – are not explicitly represented. Large Eddy Simulations (LES) should be conducted (as done by <xref ref-type="bibr" rid="bib1.bibx63" id="altparen.99"/> for hurricane winds) to assess the importance of these processes for convective storms and to test whether the results of this study hold under that approach. Furthermore, some studies showed that urban aerosols can significantly influence storm development <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx20 bib1.bibx35" id="paren.100"/>, suggesting that the effect of urban aerosols on idealized supercells may be worthy of investigation. Another aspect not considered here includes the effects of urban land use on nocturnal events: while the UHI is stronger during the night, nocturnal storms are usually elevated, suggesting that urban-storm interactions may differ from those during the daytime. More generally, exploring the sensitivity of these results to other environmental conditions is a relevant direction for future work. Lastly, idealized simulations of a QLCS, rather than a supercell, interacting with a city should also carried out to evaluate whether building effects on the gust front may dominate over the UHI and UDI in such cases.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e11869">The simulations were performed with the Weather Research and Forecasting (WRF) model version 4.6.0 <xref ref-type="bibr" rid="bib1.bibx70" id="paren.101"/>, which is freely available at <uri>https://github.com/wrf-model/WRF</uri> (last access: 12 October 2026; <ext-link xlink:href="https://doi.org/10.5065/D6MK6B4K" ext-link-type="DOI">10.5065/D6MK6B4K</ext-link>, <xref ref-type="bibr" rid="bib1.bibx52" id="altparen.102"/>). All the material needed to reproduce the simulations is archived on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.23111214" ext-link-type="DOI">10.5281/zenodo.23111214</ext-link> <xref ref-type="bibr" rid="bib1.bibx14" id="paren.103"/>: the WRF namelist, the input sounding, the modified parameter tables (<monospace>URBPARM_LCZ.TBL</monospace> and <monospace>MPTABLE.TBL</monospace>), the additional input files required by the idealized set-up (<monospace>surface_file</monospace>, <monospace>city_file</monospace> and <monospace>bubble_file</monospace>), and the modified WRF source files (<monospace>solve_em.F</monospace>, <monospace>module_initialize_ideal.F</monospace>, <monospace>module_sf_bep_bem.F</monospace> and <monospace>module_sf_noahmpdrv.F</monospace>). The repository also includes the versions of <monospace>module_sf_noahmpdrv.F</monospace> and <monospace>bl_ysu.f90</monospace> used for the <italic>no_thermo</italic> experiment. The Fortran program used to compute the dynamic and buoyancy pressure perturbations (<monospace>ppert.f90</monospace>) is also included in the archive. The revised SPOUT Python code and the Jupyter notebooks used for the analysis are available in the same Zenodo archive. Owing to their size, the full model outputs are available from the corresponding author upon request; they can, however, be reproduced with the material provided.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e11932">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/wcd-7-2015-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/wcd-7-2015-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e11941">The study was conceptualized by FDM, AZ, and SDS. The software was provided by AZ, while the formal analysis was conducted by FDM, CR, and SA. Computational resources were provided by CR and SA, while SDS supervised the work and secured funding. FDM wrote the original draft, which was edited by CR, AZ, SA, and SDS.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e11947">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e11953">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e11959">FDM acknowledges the I-CHANGE project, funded by the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 101037193. SDS acknowledges the TRIGGER project, funded by the European Union's Horizon Europe research and innovation programme under grant agreement No. 101057739. We acknowledge high-performance computing support from the Derecho system (<ext-link xlink:href="https://doi.org/10.5065/qx9a-pg09" ext-link-type="DOI">10.5065/qx9a-pg09</ext-link>) provided by the NSF National Center for Atmospheric Research (NCAR), sponsored by the National Science Foundation. Rich Rotunno, George Bryan, Alberto Martilli, Jason Keeler, Eric Hendricks, Wesley Terwey, and Patrick Hawbecker are gratefully acknowledged for fruitful discussions on the setup of the simulations. Three anonymous reviewers are acknowledged for their insightful comments. We acknowledge the use of ChatGPT for code debugging and minor text revisions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e11967">This research has been supported by the EU's Horizon 2020 (grant no. 101037193) and the HORIZON EUROPE Framework Programme, HORIZON EUROPE Innovative Europe (grant no. 101057739).This material is based upon work supported by the NSF National Center for Atmospheric Research, which is a major facility sponsored by the National Science Foundation under Cooperative Agreement No. 1852977.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e11977">This paper was edited by Johannes Dahl and reviewed by three anonymous referees.</p>
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