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  <front>
    <journal-meta><journal-id journal-id-type="publisher">NHESS</journal-id><journal-title-group>
    <journal-title>Natural Hazards and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1684-9981</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/nhess-26-5541-2026</article-id><title-group><article-title>Multi-scale dynamics and mesoscale drivers of the catastrophic September 2022 Marche (central Italy) flood</article-title><alt-title>Dynamics and drivers of the 2022 Marche flood</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Berton</surname><given-names>Matteo</given-names></name>
          <email>matteo.berton.5@phd.unipd.it</email>
        <ext-link>https://orcid.org/0009-0006-2147-9235</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Avolio</surname><given-names>Elenio</given-names></name>
          <email>e.avolio@isac.cnr.it</email>
        <ext-link>https://orcid.org/0000-0002-9692-6208</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Miglietta</surname><given-names>Mario Marcello</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2898-1595</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Biological and Environmental Sciences and Technologies, University of Salento, Lecce, 73100, Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Science and Technology, University of Naples “Parthenope”, Naples, 80133, Italy</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geosciences, University of Padua, Padua, 35131, Italy</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>National Research Council of Italy, Institute of Atmospheric Sciences and Climate (CNR-ISAC), Lamezia Terme, 88046, Italy</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>National Research Council of Italy, Institute of Atmospheric Sciences and Climate (CNR-ISAC), Padua, 35127, Italy</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Atmospheric and Cryospheric Sciences, University of Innsbruck, Innsbruck, 6020, Austria</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Matteo Berton (matteo.berton.5@phd.unipd.it) and Elenio Avolio (e.avolio@isac.cnr.it)</corresp></author-notes><pub-date><day>3</day><month>November</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>11</issue>
      <fpage>5541</fpage><lpage>5558</lpage>
      <history>
        <date date-type="received"><day>4</day><month>May</month><year>2026</year></date>
           <date date-type="rev-request"><day>29</day><month>July</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>8</day><month>October</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Matteo Berton 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://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026.html">This article is available from https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e137">The catastrophic flood that hit the Marche region (central Italy) on 15 September 2022 has been analyzed using high-resolution Weather Research and Forecasting (WRF) model simulations. The convective rainfall event responsible for the flood was favored by the passage of warm, moist air masses that interacted with the central Apennines. The convective cells, triggered by the rough orography of the area, formed quasi-stationary bands that caused high rainfall accumulation in limited areas. The formation of these rainbands was sustained by the interaction between the low-level flow and the local topography, which generated a persistent low-level convergence line extending downwind from Mount Amiata northeastward towards the Apennines. The observed vertical profile upstream of the orography reveals that the instability was initially suppressed by an inversion layer and was released only when the humid air arrived at low levels and eroded the inhibition. Furthermore, the simulations suggest that gravity waves induced by the mountains may have helped to sustain the vertical motion of the impinging air, and highlight the role of upper-level dynamics (passage of a jet streak). The comparison with surface stations shows that the simulation underestimates peak accumulations (160–180 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> simulated vs. over 400 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> observed), delays the event by 1–2 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, and misses the final phase. However, overall the model captures the system's spatial position, orientation, and quasi-stationary evolution associated with orographic anchoring.</p>

      <p id="d2e164">Rather than evaluating predictive skill in an operational-like perspective, this study investigates the physical precursors and dynamical mechanisms of the event. Sensitivity experiments reveal a strong dependence on initial and boundary conditions. A comparison of the control run (forced with Global Data Assimilation System (GDAS) analysis/forecasts) with a simulation driven by European Centre for Medium-Range Weather Forecasts (ECMWF) analysis/forecasts shows a strong sensitivity to the low-level dynamics. Although the large-scale upper-level forcing is almost identical, the ECMWF-driven forecast fails to reproduce the correct amount and distribution of rainfall due to a weaker surface pressure gradient, reduced moisture advection, and lower instability at the time of the event. Specifically, the simulation forced with the ECMWF data anticipates the arrival of the moist air mass, determining a timing mismatch between the low-level supply of moist air (and the consequent release of instability) and the upper-level forcing. This lack of synchronization shifts the rainfall away from the observed area.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e176">The Mediterranean basin is recognized as a primary climate change “hot-spot” and a region highly vulnerable to severe hydrometeorological extremes, including Heavy Precipitation Events (HPEs) and devastating flash floods <xref ref-type="bibr" rid="bib1.bibx8" id="paren.1"/>. Acting as a transition zone between midlatitude and tropical climate regimes, the Mediterranean Sea serves as a reservoir of heat and moisture. When this moist air interacts with the complex and steep orography surrounding the basin, it frequently triggers highly energetic and stationary Mesoscale Convective Systems (MCSs). Recent findings <xref ref-type="bibr" rid="bib1.bibx17" id="paren.2"/> from the HyMeX program demonstrate that the severity of these events is mostly driven by large-scale atmospheric patterns. Synoptic structures, such as cut-off lows and Mediterranean cyclones, trigger intense air-sea interactions. Through evaporation and surface heat fluxes, the Mediterranean Sea moistens and destabilizes the lower atmosphere, building up potential energy. Low-level winds then transport this marine air toward the coastlines. The complex topography surrounding the basin forces these incoming flows to rise, ultimately triggering intense convective storms.</p>
      <p id="d2e185">In this context, the Mediterranean Sea is particularly susceptible to these dynamics due to the proximity of the Alps and Apennines to the warm surrounding sea <xref ref-type="bibr" rid="bib1.bibx20" id="paren.3"/>. A prominent example of this vulnerability is the Marche region, located in central Italy (see Fig. <xref ref-type="fig" rid="F1"/>). Geographically, the region is bounded by the Adriatic Sea to the east and the central Apennines to the west, whose western slopes approach the Tyrrhenian coast. Its topography is characterized by a series of narrow, steep river valleys oriented perpendicular to both the coastlines and the mountain barrier. When low-level moist atmospheric flows originating from the Mediterranean Sea impinge on the steep Apennine ridge, they undergo orographic lifting and make the region susceptible to severe weather events. Furthermore, the numerous small and medium-sized steep catchments exhibit a rapid hydrological response to heavy precipitation, frequently resulting in sudden flash floods <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx2" id="paren.4"/>.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e198">Configuration of the WRF model domains. The orange outline indicates the Marche region, while the green star marker indicates the location of the Pratica di Mare station.</p></caption>
        <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f01.png"/>

      </fig>

      <p id="d2e208">A recent example of this kind of dynamics is the flood that struck the Marche region on 15 September 2022. This event was characterized by a quasi-stationary, V-shaped MCS capable of generating extreme precipitation within just a few hours. Previous studies on similar events in Italy highlighted that the stationarity and intensity of such systems are often linked to low-level convergence lines, induced by both the synoptic-scale circulation and the local flow deflection by the terrain <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx6" id="paren.5"/>, together with the advection of very moist air over even modest orography <xref ref-type="bibr" rid="bib1.bibx21" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d2e219">Compared to previous studies, the present research exploits the higher grid resolution of current numerical weather prediction models to better resolve small-scale terrain features. This improved resolution allows models to explicitly disentangle the meso-gamma scale, which plays a fundamental role in airflow dynamics near complex topography. Consequently, this helps us better reproduce localized, severe orographic precipitation events, which <xref ref-type="bibr" rid="bib1.bibx25" id="text.7"/> proposed are governed by three core factors: the large-scale synoptic forcing, which dictates the characteristics of the impinging airmass, including wind velocity, stability, and humidity; the terrain interaction at mesoscale, which determines whether the flow goes over or around the orographic obstacle; microphysical processes, which control the efficiency of cloud development and whether moisture falls as precipitation.</p>
      <p id="d2e225">The objective of this study is to investigate the atmospheric conditions and multi-scale dynamical mechanisms that drove the September 2022 Marche event using the Weather Research and Forecasting (WRF) model <xref ref-type="bibr" rid="bib1.bibx26" id="paren.8"/>. In this context, the use of high-resolution numerical models becomes essential to improve our understanding of the atmospheric drivers associated with severe hydrogeological impacts in the complex terrain of the Apennines. It is worth noting that the scope of this research extends beyond the numerical reproduction of the rainfall; instead, it aims to better understand the mechanisms triggering this extreme event. Consequently, we focus on the simulation that provided the most accurate representation of the storm's localization and intensity, which has been subsequently used as the baseline for the physical analysis. This high-resolution simulation allows for the explicit representation of convective processes and their interaction with the complex orography, providing a tool for diagnosing and understanding such an extreme meteorological event. </p>
      <p id="d2e232">The paper somewhat explores the predictability of localized heavy rainfall events, which is related to a fundamental challenge in numerical weather prediction: the scale-dependency of atmospheric predictability. The ECMWF-EPS (Ensemble Prediction System) initial perturbations are tuned for large-scale synoptic patterns. This presents a critical limitation when predicting localized heavy rainfall: different simulations, which are nearly indistinguishable at larger scales at initial times, may show some differences in mesoscale features, which may dramatically affect the subsequent evolution, since localized convective systems depend heavily on such small-scale dynamics. Therefore, different ensemble members can produce nearly identical synoptic forecasts while generating greatly different local precipitation totals. <xref ref-type="bibr" rid="bib1.bibx33" id="text.9"/> showed that moist convective processes can cause a rapid upscale initial error growth in regions of moist instability so that the small amplitude error at small scales ultimately limits the predictability even at larger scales. Additionally, small changes in topography representation or moisture content can cause massive differences in precipitation amount, location, and structure.</p>
      <p id="d2e238">The paper is structured as follows: Sect. 2 introduces the data and the model used for the analysis; Sect. 3 describes the synoptic environment; Sect. 4 presents the observational analysis and the numerical simulations; sensitivity to initial and boundary conditions is shown in Sect. 5, while conclusions are drawn in Sect. 6.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Model Setup and Data</title>
      <p id="d2e249">The numerical simulations in this study were performed using the Advanced Research WRF (WRF-ARW) model, version 4.6.1. WRF-ARW is a fully compressible, non-hydrostatic model that employs a hybrid sigma-pressure vertical coordinate system, designed to minimize errors over steep topography.</p>
      <p id="d2e252">The WRF model was employed here to reproduce the Marche flood of September 2022, with the objective of understanding the atmospheric drivers and conditions that led to the event. Following a trial-and-error procedure, the configuration explained hereafter, initialized at 00:00 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September 2022 (24 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> duration), was identified as optimal, yielding the best compromise in terms of precipitation localization and amount.</p>
      <p id="d2e271">The simulation setup includes three one-way nested domains, as shown in Fig. <xref ref-type="fig" rid="F1"/>. <list list-type="bullet"><list-item>
      <p id="d2e278">The parent domain (d01) covers a wide area with a horizontal grid spacing of 10 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">200</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> grid points).</p></list-item><list-item>
      <p id="d2e302">The intermediate domain (d02) focuses on central Italy with a grid spacing of 2 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mn mathvariant="normal">151</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">151</mml:mn></mml:mrow></mml:math></inline-formula> grid points).</p></list-item><list-item>
      <p id="d2e326">The innermost domain (d03) covers in detail the portion of the Marche region affected by the highest precipitation peaks, having a grid spacing of 0.66 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mn mathvariant="normal">172</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">130</mml:mn></mml:mrow></mml:math></inline-formula> grid points).</p></list-item></list></p>
      <p id="d2e349">Vertically, the model atmosphere is discretized into 41 levels, extending from the surface up to a top pressure of 50 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. Initial and lateral boundary conditions were derived from the NCEP GDAS/FNL 0.25° Global Tropospheric Analyses and Forecast Grids. Boundary conditions were updated every 3 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> using the analysis fields (f00), available every 6 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, as well as the short-term 3 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> forecasts (f03) for the intermediate times. This high-frequency update indicates the diagnostic nature of this work, aiming to reconstruct the event dynamics using the setup emerging as the best available in terms of atmospheric boundary forcing.</p>
      <p id="d2e385">A summary of the parameterization schemes adopted here is provided in Table <xref ref-type="table" rid="T1"/>; they have been selected following the configuration used in <xref ref-type="bibr" rid="bib1.bibx27" id="text.10"/>. A crucial distinction in the setup concerns the cumulus parameterization. For the coarser domain (d01), the Tiedtke scheme <xref ref-type="bibr" rid="bib1.bibx30" id="paren.11"/> was activated to parameterize sub-grid scale convection. Conversely, for the intermediate and innermost domains (d02 and d03), a convection-permitting configuration was adopted.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e399">Summary of WRF physics parameterizations used in the simulation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parameter type</oasis:entry>
         <oasis:entry colname="col2">Selected Scheme</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Microphysics</oasis:entry>
         <oasis:entry colname="col2">WRF Single-Moment 5-class scheme <xref ref-type="bibr" rid="bib1.bibx12" id="paren.12"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longwave Radiation</oasis:entry>
         <oasis:entry colname="col2">RRTMG Longwave scheme <xref ref-type="bibr" rid="bib1.bibx14" id="paren.13"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Shortwave Radiation</oasis:entry>
         <oasis:entry colname="col2">RRTMG Shortwave scheme <xref ref-type="bibr" rid="bib1.bibx14" id="paren.14"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Surface Layer</oasis:entry>
         <oasis:entry colname="col2">Revised MM5 scheme <xref ref-type="bibr" rid="bib1.bibx15" id="paren.15"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Land Surface</oasis:entry>
         <oasis:entry colname="col2">Noah–MP LSM <xref ref-type="bibr" rid="bib1.bibx23" id="paren.16"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Planetary Boundary Layer</oasis:entry>
         <oasis:entry colname="col2">YSU scheme <xref ref-type="bibr" rid="bib1.bibx13" id="paren.17"/></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cumulus (d01 only)</oasis:entry>
         <oasis:entry colname="col2">Tiedtke scheme <xref ref-type="bibr" rid="bib1.bibx30" id="paren.18"/></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Synoptic Environment and Precursors</title>
      <p id="d2e512">The synoptic environment leading to the extreme event of 15 September 2022 was characterized by a combination of atmospheric patterns that facilitated the accumulation of high convective available potential energy and moisture over the central part of the Italian peninsula in the previous days <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx27" id="paren.19"/>.</p>
      <p id="d2e518">The thermal structure (Fig. <xref ref-type="fig" rid="F2"/>d–f) reveals a pronounced temperature gradient moving eastward over the western Mediterranean. The Marche region was positioned at the boundary between a ridge extending from the south, bringing warm air from North Africa on its western side, and a trough on its northwestern side, drawing in colder air from Northern Europe. By 15 September (panels c and f), the synoptic situation over the central Mediterranean evolved from a meridionally elongated pattern into a predominantly zonal flow pattern, with isohypses oriented perpendicular to the Apennine chain <xref ref-type="bibr" rid="bib1.bibx27" id="paren.20"/>. The low-level warming and moisture accumulated during the previous days, due to the persistence of the anticyclonic configuration, combined with the advection of moist and cooler mid-level air, increased the potential instability in the area. This evolution is typical of severe convective storms in the Mediterranean region <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx11" id="paren.21"><named-content content-type="pre">e.g.</named-content></xref> and ultimately facilitated the triggering of a stationary V-shaped system.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e533">Synoptic maps at 00:00 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> for 13 September (left column: <bold>a, d</bold>), 14 September (center column: <bold>b, e</bold>), and 15 September 2022 (right column: <bold>c, f</bold>). Top row <bold>(a–c)</bold>: 500 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> geopotential height (gpdam, shading) and sea level pressure (hPa, white lines). Bottom row <bold>(d–f)</bold>: 850 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> temperature (<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, shading) and mean sea level pressure (hPa, white lines). The maps are based on ERA5 reanalysis data (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> resolution). Source: Wetterzentrale (<uri>https://www.wetterzentrale.de/</uri>, last access: 28 October 2026).</p></caption>
        <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f02.jpg"/>

      </fig>

      <p id="d2e606">The upper-level dynamics also played a key role in sustaining the convective system. The rapid evolution of the geopotential at 300 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September (see Fig. S1 in the Supplement) reveals that the jet streak reached Northern Italy in the afternoon, placing the Marche region below the right entrance region (right-rear quadrant). This configuration is well known to induce upper-level divergence and low-level convergence <xref ref-type="bibr" rid="bib1.bibx32" id="paren.22"/>, generating vertical lift that provides a favorable dynamic environment for deep convection development.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results and Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Observational Analysis of the Event</title>
      <p id="d2e635">The event of 15 September 2022 was characterized by the development of several convective systems that were triggered near the western border of the Marche region <xref ref-type="bibr" rid="bib1.bibx27" id="paren.23"/>. These systems organized into “multicell line storms” with a distinct west-to-east orientation. This specific alignment was crucial, as it allowed for continuous and intense rainfall to persist over the same geographical areas, significantly amplifying the flooding severity.</p>
      <p id="d2e641">Consequently, the system remained anchored over the Marche Apennines orography for several hours. Remote sensing platforms captured the intensity and the structure of the event: the H-SAF satellite estimation (Fig. <xref ref-type="fig" rid="F3"/>a) highlights the V-shaped structure of the storm associated with very intense instantaneous precipitation rates, as well as its highly localized character, while the Civil Protection radar network (Fig. <xref ref-type="fig" rid="F3"/>b and c) shows reflectivity values reaching the “very strong” intensity class over a narrow band persisting for several hours.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e650"><bold>(a)</bold> Satellite instantaneous precipitation rate estimation derived from the H-SAF (Satellite Application Facility on Support to Operational Hydrology and Water Management) H03B product (© EUMETSAT) on 15 September at 17:30 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>; <bold>(b)</bold> and <bold>(c)</bold> Vertical Maximum Intensity (VMI) radar reflectivity fields provided by the Italian Department of Civil Protection on 15 September at 18:20 and 21:40 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, respectively.</p></caption>
          <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f03.png"/>

        </fig>

      <p id="d2e684">The convective character of the event is further evidenced by the lightning activity. High-resolution lightning detection data indicate a high frequency of strokes concentrated along the rainbands. The temporal evolution of the lightning strikes is consistent with the intensification of the radar reflectivity cores (Fig. <xref ref-type="fig" rid="F4"/>).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e691">Temporal evolution of lightning activity (yellow dots; data from the EUCLID/Siemens BLIDS network) and radar reflectivity (provided by the Italian Department of Civil Protection) over the Marche region on 15 September 2022 at: <bold>(a)</bold> 13:00 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> 14:00 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> 15:00 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, and <bold>(d)</bold> 16:00 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. Source: <uri>https://meteologix.com/it</uri> (last access: 28 October 2026). Map data © Google.</p></caption>
          <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f04.png"/>

        </fig>

      <p id="d2e748">The vertical profile, as derived from the radiosoundings launched in Pratica di Mare (WMO ID: 16245; see Fig. <xref ref-type="fig" rid="F1"/> for its location), near the Tyrrhenian coast, provides critical insights into the upstream thermodynamic environment preceding the intense rainfall event (Fig. <xref ref-type="fig" rid="F5"/>). The sequence of profiles from 14 to 15 September 2022 illustrates a transition toward an environment more favorable to the development of intense convection.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e757">Thermodynamic analysis from Pratica di Mare: <bold>(a)</bold> Skew-T diagram for 14 September at 12:00 UTC; <bold>(b)</bold> Skew-T diagram for 15 September at 12:00 UTC. Panels <bold>(a)</bold> and <bold>(b)</bold> generated using the thundeR R package <xref ref-type="bibr" rid="bib1.bibx5" id="paren.24"/>. </p></caption>
          <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f05.png"/>

        </fig>

      <p id="d2e781">In the days before the event, the region was characterized by high-pressure conditions. Large-scale subsidence associated with the anticyclonic regime induced adiabatic compression of the air mass, resulting in a prominent temperature inversion and the development of dry layers above the boundary layer. This process established a “Loaded Gun” sounding profile, i.e. a configuration originally identified by <xref ref-type="bibr" rid="bib1.bibx10" id="text.25"/>, featuring high convective potential inhibited by a low-level inversion and dry air.</p>
      <p id="d2e788">On 14 September at 12:00 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>a), the atmosphere exhibited significant potential instability, with a Most Unstable Convective Available Potential Energy (MUCAPE) of 1730 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. However, this instability was effectively inhibited by a robust capping inversion, reflected by a Most Unstable Convective Inhibition (MUCIN) value of <inline-formula><mml:math id="M30" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Despite a remarkable Precipitable Water (PW) content of 36 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>, the “cap” prevented any convective development.</p>
      <p id="d2e851">A turning point occurred between 00:00–12:00 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September (Table <xref ref-type="table" rid="T2"/>). The synoptic-scale flow induced a strong low-level moisture advection from the south-southwest, which acted as the primary trigger for the event. This moisture inflow is visible in Fig. <xref ref-type="fig" rid="F5"/>b, as the surface mixing ratio rose from 14.7 to 16.3 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and the total column PW increased from 36 to 41 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>. In the lowest layers (up to <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">940</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>), the dew point profile closely follows the isohygrometric on both days. This behavior indicates a nearly constant mixing ratio with height, suggesting vigorous turbulent mixing within the planetary boundary layer (PBL) that efficiently distributes moisture uniformly throughout the mixed layer. The intrusion of warm, moist air in the lower levels combined with the mid-level cooling increased the instability (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mtext>MUCAPE</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3092</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), while it reduced the capping inversion (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mtext>MUCIN</mml:mtext><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">73</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e965">Summary of thermodynamic indices from Pratica di Mare radiosoundings.</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">Date/Time (UTC)</oasis:entry>
         <oasis:entry colname="col2">MUCAPE [<inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">MUCIN [<inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">PW [<inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col5">Mixing Ratio [<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">14 September 2022 12:00</oasis:entry>
         <oasis:entry colname="col2">1730</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>103</oasis:entry>
         <oasis:entry colname="col4">36</oasis:entry>
         <oasis:entry colname="col5">14.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15 September 2022 12:00</oasis:entry>
         <oasis:entry colname="col2">3092</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73</oasis:entry>
         <oasis:entry colname="col4">41</oasis:entry>
         <oasis:entry colname="col5">16.3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1115">These modifications, enhanced in the following hours by an additional moistening of the mid-levels and arrival of cooler air (as shown in the following sections), eroded the capping inversion, while the lifting provided by the Apennine ridge and the low-level convergence – the specific roles of which will be further evaluated and discussed in the simulation results section – pushed the parcels up to the level of free convection (LFC). The evolution of these thermodynamic parameters is summarized in Table <xref ref-type="table" rid="T2"/>.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Simulated Thermodynamic Structure</title>
      <p id="d2e1128">First, to characterize the evolution of the thermodynamic properties of the air-mass feeding the convective system and validate the simulation, we tested the model's ability to reproduce the vertical structure of the atmosphere. Figure <xref ref-type="fig" rid="F6"/> presents the Skew-T diagram derived from the WRF model run at the location of Pratica di Mare at 12:00 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, on 15 September. A comparison with the observed sounding discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/> reveals a qualitative agreement in the thermodynamic structure. The model correctly reproduces the “Loaded Gun” signature characterized by a warm, moist boundary layer (dew point temperature <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), capped by a stable inversion layer around 950–850 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>, and surmounted by a drier layer aloft. The quantitative values of the instability indices confirm the potential for severe weather: the simulated MUCAPE is 1731 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the MUCIN is <inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>105 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and the Lifted Index (LI) is <inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7, indicating strong instability but also inhibition at the same time. A comparison with the observed sounding (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mtext>MUCAPE</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3092</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) reveals that the model captures the presence of conditions favorable to instability, although it significantly underestimates the value of MUCAPE.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1243">WRF simulated sounding at the location of Pratica di Mare at 12:00 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September 2022.</p></caption>
          <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Physical Mechanisms and Simulation Analysis</title>
      <p id="d2e1268">The WRF model simulation allows for a detailed analysis of the physical mechanisms initiating and maintaining the stationary convective bands.</p>
<sec id="Ch1.S4.SS3.SSS1">
  <label>4.3.1</label><title>Precipitation Analysis</title>
      <p id="d2e1278">Figure <xref ref-type="fig" rid="F7"/> compares the observed 24 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated precipitation (from 00:00 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September to 00:00 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 16 September), retrieved from the Italian Department of Civil Protection (Dewetra platform), with the WRF simulated accumulation.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1309">Comparison of 24 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated rainfall <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">mm</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ending at 00:00 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 16 September 2022. <bold>(a)</bold> Isohyet map derived from the Italian Department of Civil Protection; the blue rectangle indicates the d03 domain. <bold>(b)</bold> 24 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated precipitation simulated by the WRF model over the d03 domain. <bold>(c)</bold> Observed (blue) and WRF simulated (red: point; green: <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> neighborhood) cumulative rainfall profiles at six stations: Arcevia (RT-1295), Cantiano (RT-2972), Colle (RT-1270), Frontone–Monte Acuto (RT-3294), Jesi (RT-1213), and Montefano (RT-1886).</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f07.png"/>

          </fig>

      <p id="d2e1384">The simulation qualitatively captures the main convective signature: two distinct precipitation bands extending from the hinterland of central Italy to the Adriatic coast. These elongated structures are consistent with the lightning activity and radar reflectivity patterns shown in Fig. <xref ref-type="fig" rid="F4"/>, as well as with the observational precipitation data derived from the Department of Civil Protection. Indeed, the model correctly identifies the presence of stationary convergence lines (as will be further detailed in Fig. <xref ref-type="fig" rid="F9"/>) capable of generating persistent precipitation over the same area for several hours.</p>
      <p id="d2e1392">The simulation also reproduces correctly the localization of the precipitation bands. However, the quantitative accumulation is underestimated: while observed peaks were 419 and 384.4 <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> in 24 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> at Cantiano and Frontone, respectively, the simulated maxima remained near 180 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1419">An analysis of the temporal evolution provides further insight. Figure <xref ref-type="fig" rid="F7"/>c compares the observed cumulative rainfall with the model output at six specific rain gauge stations: Arcevia, Cantiano, Colle, Frontone–Monte Acuto, Jesi, and Montefano. The validated station observations used for this comparison were retrieved from the Civil Protection Department of the Marche Region (<uri>http://app.protezionecivile.marche.it/</uri>, last access: 28 October 2026). To account for the difference between the station locations and the model grid point, the simulated precipitation is evaluated using two distinct approaches: a direct point interpolation at the station coordinates, and a neighborhood method that extracts the maximum accumulation at each time step within a <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> box centered on the station. Direct point evaluation misses the intensity of the peak rainfall even if the location of the simulated storm is correctly reproduced, being shifted by just a few kilometers. In contrast, the neighborhood approach removes errors due to small spatial offsets and provides a more reliable estimate of the actual storm intensity.</p>
      <p id="d2e1447">Looking at the temporal evolution, observational data indicate that the main convective phase lasted approximately 6 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, from 14:00 to 20:00 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. The model captures this temporal window reasonably well, simulating heavy rainfall between 15:00–19:00 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, although the onset of the event is delayed by about 1–2 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> across the domain. In terms of intensity, the <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> simulation performs well during the initial peak between 16:00–17:00 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, reaching maximum hourly rates of 50 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which is comparable to the observed 62 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at Cantiano. However, after 17:00 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, the simulated precipitation rates decay much more rapidly than the observed rainfall, so that the absence of a weaker second precipitation event in the evening is partly responsible for the underestimation of the 24 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> total accumulation.</p>
      <p id="d2e1561">To investigate the physical mechanisms driving this premature convective decay, an analysis of the near-surface thermodynamic fields was conducted. For the 2 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> temperature (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) and 2 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> relative humidity (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mtext>RH</mml:mtext><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) analysis, data from 104 stations within domain d02 (which covers the entire Marche region) and 54 stations within domain d03 (covering only the portion of the region directly affected by the rainfall) were utilized. The validated station observations used for this comparison were retrieved from the official platform of the Civil Protection Department of the Marche Region (<uri>http://app.protezionecivile.marche.it/</uri>, last access: 28 October 2026) and basic quality control procedures were applied to ensure data consistency and filter out anomalies. Figure <xref ref-type="fig" rid="F8"/> compares the observed and simulated <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mtext>RH</mml:mtext><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> spatial maps at 18:00 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (panels a and b), alongside their temporal evolution (panels c and d) for selected stations (Arcevia, Cantiano, and Colle).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e1660">Comparison of observed and simulated (REF) near-surface <bold>(a)</bold> <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over a portion of the d02 domain and <bold>(b)</bold> <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mtext>RH</mml:mtext><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> over the d03 domain at 18:00 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. Temporal evolution of <bold>(c)</bold> <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <bold>(d)</bold> <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mtext>RH</mml:mtext><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> comparing observations and model outputs (REF) for the selected stations of Arcevia, Cantiano, and Colle.</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f08.png"/>

          </fig>

      <p id="d2e1755">The analysis reveals that the rapid decay of precipitation is related to near-surface thermodynamic biases. The simulation exhibits a significantly warmer environment, with temperatures remaining up to 5–6 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> higher than observations during the decay phase.</p>
      <p id="d2e1768">This warm bias directly affects the near-surface relative humidity over time (Fig. <xref ref-type="fig" rid="F8"/>d). Due to the higher simulated temperatures, the saturation vapor pressure increases, which in turn reduces the relative humidity (considering that the bias in specific humidity is small). Consequently, the simulated environment fails to maintain saturation. The drop in <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mtext>RH</mml:mtext><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents a physical transition from a saturated state (necessary to sustain condensation and precipitation) to a sub-saturated environment that inhibits rainfall generation. This underestimation is further illustrated by comparing the 24 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> maximum cumulative rainfall in the control simulation (REF) – evaluated both at the station point (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mtext>point</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and using a 10 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> neighborhood maximum (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) – with rain gauge observations (Table <xref ref-type="table" rid="T3"/>).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e1838">Comparison of 24 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> maximum cumulative rainfall and corresponding percentage errors between the control simulation evaluated at the nearest grid point (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mtext>point</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), the maximum value within the 10 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> neighborhood (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and weather station observations (OBS) for selected locations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mtext>point</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">OBS</oasis:entry>
         <oasis:entry colname="col5">Error (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mtext>point</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">Error (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mtext>REF</mml:mtext><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">[<inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col3">[<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col4">[<inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mtext>OBS</mml:mtext><mml:mo>-</mml:mo><mml:msub><mml:mtext>REF</mml:mtext><mml:mtext>point</mml:mtext></mml:msub></mml:mrow><mml:mtext>OBS</mml:mtext></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mtext>OBS</mml:mtext><mml:mo>-</mml:mo><mml:msub><mml:mtext>REF</mml:mtext><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mtext>OBS</mml:mtext></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Arcevia</oasis:entry>
         <oasis:entry colname="col2">35.2</oasis:entry>
         <oasis:entry colname="col3">109.7</oasis:entry>
         <oasis:entry colname="col4">129.2</oasis:entry>
         <oasis:entry colname="col5">72.8</oasis:entry>
         <oasis:entry colname="col6">15.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cantiano</oasis:entry>
         <oasis:entry colname="col2">164.2</oasis:entry>
         <oasis:entry colname="col3">180.1</oasis:entry>
         <oasis:entry colname="col4">419.0</oasis:entry>
         <oasis:entry colname="col5">60.8</oasis:entry>
         <oasis:entry colname="col6">57.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Colle</oasis:entry>
         <oasis:entry colname="col2">72.4</oasis:entry>
         <oasis:entry colname="col3">89.9</oasis:entry>
         <oasis:entry colname="col4">204.0</oasis:entry>
         <oasis:entry colname="col5">64.5</oasis:entry>
         <oasis:entry colname="col6">55.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Jesi</oasis:entry>
         <oasis:entry colname="col2">34.4</oasis:entry>
         <oasis:entry colname="col3">78.8</oasis:entry>
         <oasis:entry colname="col4">126.0</oasis:entry>
         <oasis:entry colname="col5">72.7</oasis:entry>
         <oasis:entry colname="col6">37.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Frontone–Monte Acuto</oasis:entry>
         <oasis:entry colname="col2">172.4</oasis:entry>
         <oasis:entry colname="col3">180.6</oasis:entry>
         <oasis:entry colname="col4">384.4</oasis:entry>
         <oasis:entry colname="col5">55.2</oasis:entry>
         <oasis:entry colname="col6">53.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Montefano</oasis:entry>
         <oasis:entry colname="col2">99.8</oasis:entry>
         <oasis:entry colname="col3">122.5</oasis:entry>
         <oasis:entry colname="col4">150.8</oasis:entry>
         <oasis:entry colname="col5">33.8</oasis:entry>
         <oasis:entry colname="col6">18.8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2225">In addition to the reference run, sensitivity tests using different forcing datasets (e.g. ERA5, GFS, ECMWF), as detailed in Sect. <xref ref-type="sec" rid="Ch1.S5"/>, highlighted marked differences in the spatial distribution and amount of precipitation, emphasizing a strong sensitivity to initial and boundary conditions and the intrinsic low predictability of this case study.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS2">
  <label>4.3.2</label><title>Triggering Mechanism and Thermodynamic Instability</title>
      <p id="d2e2238">The interaction between the low-level flow and the complex topography is shown in Fig. <xref ref-type="fig" rid="F9"/>a, where the 10 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind field shows the effect of the Apennines in deflecting the impinging air. This disturbance produces a convergence line at 950 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F9"/>b) oriented SW–NE. Its leading edge originates downwind of Mount Amiata (approx. 42.9° N, 11.6° E) and extends northeastward, reaching the Apennine ridge. This convergence line is located just upstream of the main rainband, thus it reasonably contributed to the uplift of the incoming moist air masses up to the LFC.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e2263">Mesoscale analysis over the d02 domain on 15 September 2022. Top row (15:30 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>): <bold>(a)</bold> 10 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> wind vectors and orography; the blue straight line identifies the location of the cross-section shown in Fig. <xref ref-type="fig" rid="F10"/>a and b. <bold>(b)</bold> 950 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> convergence (green contours), specific humidity (red shaded), and wind vectors. The yellow marker indicates the location selected for the thermodynamic analysis: P1 (42.7° N, 11.4° E), representative of the upstream southerly inflow near Mt. Amiata. Bottom row (14:00 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>): Equivalent potential temperature (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), calculated using the approximation by <xref ref-type="bibr" rid="bib1.bibx4" id="text.26"/>, at <bold>(c)</bold> 950 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (green shaded) and <bold>(d)</bold> 500 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (green shaded).</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f09.png"/>

          </fig>

      <p id="d2e2350">The persistence of the pattern for several hours contributed to the continuous regeneration of the system. The latter was also sustained by the rich moisture supply. The specific humidity field at 950 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F9"/>b) reveals a distinct tongue of moist air (specific humidity <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) advected directly into the precipitation area by the southwesterly flow.</p>
      <p id="d2e2391">From a thermodynamic perspective, the equivalent potential temperature (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) maps in Fig. <xref ref-type="fig" rid="F9"/>c and d clearly illustrate a condition of potential instability (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>∂</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:mi>z</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), with the highest values of <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">950</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the southwestern corner of the domain (up to 351 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>), just upstream of the rainband, and lower values (of about 315–320 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>) at 500 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>, nearly uniform over the region.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS3">
  <label>4.3.3</label><title>Orographic Forcing and Flow Dynamics</title>
      <p id="d2e2486">The vertical structure is further detailed in the vertical cross-sections presented in Fig. <xref ref-type="fig" rid="F10"/>, taken at a fixed latitude of 43.48° N nearly parallel to the convective line. The potential temperature (on 15 September at 15:00 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F10"/>a) reveals undulations of the isentropic surfaces, associated with the stable (dry) stratification of the lower troposphere in response to the orographic forcing, suggesting the presence of gravity waves triggered by the interaction of the flow with the orography (Fig. <xref ref-type="fig" rid="F10"/>c). Large values of vertical velocity (<inline-formula><mml:math id="M130" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>) identify the intense updrafts associated with the convective cells (Fig. <xref ref-type="fig" rid="F10"/>b). Furthermore, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. <xref ref-type="fig" rid="F10"/>b) highlight the presence of convective instability, with a core of high-<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> air in the lower levels surmounted by lower values above. The orographically induced wave patterns likely contributed to enhancing the vertical lift, allowing low-level air parcels to reach the level of free convection, thus favoring the triggering and persistence of the convective cells just downstream of the crests in the gravity wave patterns.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e2539">Thermodynamic structure and orographic forcing at 15:00 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> over the d02 domain on 15 September 2022. <bold>(a)</bold> and <bold>(b)</bold> Vertical cross-sections along latitude 43.48° N (transect in Fig. <xref ref-type="fig" rid="F9"/>a) showing <bold>(a)</bold> <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">K</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with vertical velocity <inline-formula><mml:math id="M136" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> contours (solid for positive, dashed for negative) and <bold>(b)</bold> <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">K</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <bold>(c)</bold> Vertical velocity (<inline-formula><mml:math id="M139" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula>) field at 700 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f10.png"/>

          </fig>

      <p id="d2e2639">The simulated vertical velocity field at 700 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F10"/>c) reveals a well-defined pattern of alternating ascending and descending motions, with a characteristic horizontal wavelength estimated at approximately 10–15 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. These features, positioned above and on the leeward side of the main orographic barriers, and perpendicular to the main WSW midlevel flow, are a characteristic signature of intense wind responsible for orographic gravity waves triggered as air parcels are forced upward by the terrain and subsequently oscillate in the presence of (dry) stable conditions.</p>
</sec>
<sec id="Ch1.S4.SS3.SSS4">
  <label>4.3.4</label><title>Sensitivity to Orographic Forcing</title>
      <p id="d2e2669">To further investigate the specific role of the Apennine orography in sustaining convection, two sensitivity experiments were performed by reducing the orography of central Apennines (setting terrain height to 50 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and 0 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) within the area defined by coordinates 42.0–45.0° N and 10.5–15.0° E. The modifications were applied to the static geography fields across all nested domains prior to model initialization. Results (see Fig. <xref ref-type="fig" rid="F11"/>a and b) indicate that the precipitation maintains a similar orientation as in the control simulation, but the rainbands are shifted slightly northeastward. Interestingly, the atmospheric response is highly non-linear: while in the 0 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> experiment the rainfall intensity is severely reduced, with peak accumulations decreased by approximately 60 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, the 50 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> reduction scenario maintains peak accumulations close to the control run (and reduction of the peak by approximately 25 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). An analysis of the low-level fields (see Fig. <xref ref-type="fig" rid="F11"/>c and d) shows that the reduction or absence of the mountain barrier allows the moist southerly inflow, characterized by high specific humidity, to penetrate further inland and eastward undisturbed. The orography modulates the moisture advection, anticipating by 1 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> the moisture maximum over the city of Cantiano in the two simulations with reduced/absent orography. Convection is still triggered by the convergence between this warm, moist flow and the westerly currents; however, the convergence line is shifted northeastward, triggered along the northern edge of the high <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> tongue. This result reaffirms that the mesoscale flow dynamics determine the storm's triggering and positioning, whereas the orography is essential for anchoring the system and providing the mechanical lift. While vertical velocity fields suggest mountain wave activity, the terrain mainly acts as a barrier forcing low-level convergence and uplift.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e2746">Top row: 24 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated precipitation simulated by the WRF model over the d03 domain (ending at 00:00 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 16 September 2022) for the 50 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and 0 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> orography tests. Bottom row: low-level convergence (green contours), specific humidity (red shaded) and wind vectors at 950 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> for the 50 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> and 0 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(d)</bold> orography tests.</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f11.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS3.SSS5">
  <label>4.3.5</label><title>Moisture Flux Analysis</title>
      <p id="d2e2832">To assess the moisture availability fueling the precipitation, the Integrated Vapor Transport (IVT) and Precipitable Water (PW) were diagnosed. These parameters are relevant for the identification of atmospheric rivers <xref ref-type="bibr" rid="bib1.bibx24" id="paren.27"><named-content content-type="pre">e.g.</named-content></xref>, which are often observed in correspondence with heavy rain events in the southern Alpine region <xref ref-type="bibr" rid="bib1.bibx7" id="paren.28"/>. The magnitude of the IVT vector was calculated by vertically integrating the product of specific humidity (<inline-formula><mml:math id="M158" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>) and horizontal wind components (<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi>u</mml:mi><mml:mo>,</mml:mo><mml:mi>v</mml:mi></mml:mrow></mml:math></inline-formula>) from 1000 to 300 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>:

                  <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M161" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>IVT</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle><mml:msqrt><mml:mrow><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mn mathvariant="normal">300</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:munderover><mml:mi>q</mml:mi><mml:mi>u</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mrow><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow><mml:mrow><mml:mn mathvariant="normal">300</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:munderover><mml:mi>q</mml:mi><mml:mi>v</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2960">Similarly, Precipitable Water (PW) was computed by integrating the specific humidity from the surface to 300 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>:

                  <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M163" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>PW</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mtext>sfc</mml:mtext><mml:mrow><mml:mn mathvariant="normal">300</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:munderover><mml:mi>q</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e3007">Figure <xref ref-type="fig" rid="F12"/>a illustrates the sustained moisture flux directed towards the Marche region at 15:00 <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, providing the fuel for heavy precipitation. The highest water vapor transport is concentrated in the area of highest precipitation, stressing the importance of the high humidity content, characterized by PW values exceeding 40–50 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula> along the coast and the Apennine foothills (Fig. <xref ref-type="fig" rid="F12"/>b), in promoting convection, enhancing CAPE and reducing CIN.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e3033">Moisture analysis on 15 September 2022: <bold>(a)</bold> Integrated Vapor Transport (IVT) [<inline-formula><mml:math id="M166" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] at 15:00 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (d01) and <bold>(b)</bold> Precipitable Water (PW) [<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>] at 15:30 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (d02).</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f12.png"/>

          </fig>

</sec>
<sec id="Ch1.S4.SS3.SSS6">
  <label>4.3.6</label><title>Thermodynamic Environment and Instability</title>
      <p id="d2e3107">To further analyze the evolution of the airmass reaching the Apennines, the thermodynamic vertical profiles were analyzed at the location P1 (42.7° N, 11.4° E, see the star marker in Fig. <xref ref-type="fig" rid="F9"/>b), representative of the upstream flow near Mt. Amiata. At 05:00 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F13"/>a), the upstream profile exhibits moderate-to-strong instability but this is suppressed by a significant inhibition, similar to the observed sounding in Pratica di Mare at 12:00 <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F5"/>b). By 16:00 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, the simulated profile indicates the marked erosion of the thermal inversion mainly due to the arrival of cooler air in the low-to-mid levels (Fig. <xref ref-type="fig" rid="F13"/>b).</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e3145">Simulated upstream vertical profile at the location P1 (near Mt. Amiata) at <bold>(a)</bold> 05:00 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> and <bold>(b)</bold> 16:00 <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September 2022.</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f13.png"/>

          </fig>

      <p id="d2e3176">The potential for severe convection is confirmed by the values and evolution of the Most Unstable CAPE and CIN fields from 08:00 to 15:30 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F14"/>). A distinct tongue of highly unstable air, with MUCAPE values exceeding 3000–3500 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, progressively extends from the Tyrrhenian Sea towards the central Apennines, spatially collocated with the high-<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> tongue observed in the low levels. The temporal evolution indicates that these high instability values progressively built up from the morning, while convective inhibition – initially present – was gradually eroded in the afternoon, allowing for the release of the accumulated energy.</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e3220">MUCAPE and MUCIN over the d02 domain on 15 September 2022. Top row: <bold>(a)</bold> Most unstable CAPE and <bold>(b)</bold> CIN at 08:00 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>. Bottom row: <bold>(c)</bold> Most unstable CAPE and <bold>(d)</bold> CIN at 15:30 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
            <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f14.png"/>

          </fig>

</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Sensitivity to Initial and Boundary Conditions</title>
      <p id="d2e3269">To evaluate the model's sensitivity to initial conditions (I.C.), boundary conditions (B.C.), and physical parameterizations, several sensitivity experiments were performed. The configurations are summarized in Table <xref ref-type="table" rid="T4"/>, and the resulting 24 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated precipitation is shown in Fig. <xref ref-type="fig" rid="F15"/>. Figure <xref ref-type="fig" rid="F15"/>a represents the “reference simulation” (REF) (initialized at 00:00 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, 15 September and forced with NCEP/GDAS analysis and forecast fields as explained in Sect. <xref ref-type="sec" rid="Ch1.S2"/>), which is the control run extensively discussed in the previous sections. The authors believe that this sensitivity analysis is relevant to understand the spread in the model outputs at a relatively local scale. Indeed, dramatic differences emerge in terms of precipitation amount and distribution, as shown in Fig. <xref ref-type="fig" rid="F15"/>.</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e3302">Summary of the WRF sensitivity experiments. All simulations share the same domains and grid spacing (10, 2, 0.66 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mtext>BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> indicates the update frequency of the lateral boundary conditions. All simulations share the same physical parameterizations, except for the “Modified physics” experiment (panel d). This specific run employs the Thompson microphysics scheme <xref ref-type="bibr" rid="bib1.bibx29" id="paren.29"/>, the Kain–Fritsch cumulus parameterization <xref ref-type="bibr" rid="bib1.bibx16" id="paren.30"/>, the Dudhia shortwave and RRTM longwave radiation schemes <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx22" id="paren.31"/>, and the Unified Noah Land Surface Model <xref ref-type="bibr" rid="bib1.bibx28" id="paren.32"/>.</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <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="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Panel</oasis:entry>
         <oasis:entry colname="col2">Sensitivity</oasis:entry>
         <oasis:entry colname="col3">Forcing Dataset</oasis:entry>
         <oasis:entry colname="col4">Start Time</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mtext>BC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">24 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> Max. Rain</oasis:entry>
         <oasis:entry colname="col7">Remarks</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">[<inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col6">[<inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">a</oasis:entry>
         <oasis:entry colname="col2">REF</oasis:entry>
         <oasis:entry colname="col3">NCEP GDAS/FNL (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">180.6</oasis:entry>
         <oasis:entry colname="col7">Control simulation</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">b</oasis:entry>
         <oasis:entry colname="col2">I.C.</oasis:entry>
         <oasis:entry colname="col3">NCEP GDAS/FNL (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 06:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">98.9</oasis:entry>
         <oasis:entry colname="col7">Delayed initialization</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">c</oasis:entry>
         <oasis:entry colname="col2">B.C.</oasis:entry>
         <oasis:entry colname="col3">NCEP GDAS/FNL (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">197.1</oasis:entry>
         <oasis:entry colname="col7">Lower boundary update frequency</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">d</oasis:entry>
         <oasis:entry colname="col2">Physics</oasis:entry>
         <oasis:entry colname="col3">NCEP GDAS/FNL (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">74.2</oasis:entry>
         <oasis:entry colname="col7">Modified physics (see caption)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">e</oasis:entry>
         <oasis:entry colname="col2">I.C./B.C.</oasis:entry>
         <oasis:entry colname="col3">NCEP GFS (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">129.5</oasis:entry>
         <oasis:entry colname="col7">Historical forecast archive</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">f</oasis:entry>
         <oasis:entry colname="col2">B.C.</oasis:entry>
         <oasis:entry colname="col3">I.C. GDAS/B.C. GFS</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">156.1</oasis:entry>
         <oasis:entry colname="col7">Mixed forcing datasets</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">g</oasis:entry>
         <oasis:entry colname="col2">I.C./B.C.</oasis:entry>
         <oasis:entry colname="col3">HRES ECMWF (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">49.3</oasis:entry>
         <oasis:entry colname="col7">High-resolution operational analysis</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">h</oasis:entry>
         <oasis:entry colname="col2">I.C./B.C.</oasis:entry>
         <oasis:entry colname="col3">ERA5 (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15 September 2022 00:00</oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
         <oasis:entry colname="col6">108.5</oasis:entry>
         <oasis:entry colname="col7">Hourly reanalysis</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e3727">Comparison of 24 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> accumulated rainfall for the sensitivity experiments over the d03 domain. The panels <bold>(a)</bold> through  <bold>(h)</bold> correspond to the configurations detailed in Table <xref ref-type="table" rid="T4"/>.</p></caption>
        <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f15.png"/>

      </fig>

      <p id="d2e3753">A comparison between the REF simulation (Fig. <xref ref-type="fig" rid="F15"/>a) and the run initialized 6 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> later (Fig. <xref ref-type="fig" rid="F15"/>b) reveals a significant decrease in the accumulated rainfall over Cantiano and the loss of the secondary precipitation band located further south. This result illustrates the key role of the initial conditions in correctly modulating the rainfall in the areas affected by the heavy rainfall event. Conversely, the third run, using boundary conditions updated only every 6 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F15"/>c) increases the rainfall intensity and extends the area affected by intense rainfall, but erroneously displaces the precipitation peak north of Cantiano. Overall, these latter changes appear relatively minor, as the high impact of the event is clearly identified in the region, although the location is not perfectly represented. Furthermore, the choice of the parameterization schemes plays a crucial role in the spatial distribution and intensity of the precipitation; as shown in Fig. <xref ref-type="fig" rid="F15"/>d, changing the model physics package – by simultaneously modifying the cumulus convection, microphysics, radiation, and land surface schemes – significantly alters the precipitation: this sensitivity run shifts the rainfall pattern northward and decreases the rainfall amount compared to the control simulation. These results suggest a significant sensitivity to the initial conditions and the model physics, making a limited area model ensemble approach (including both the sensitivity to initial conditions and model physics) highly recommended to correctly evaluate the possibility of severe events affecting a limited area. This is especially true for this specific event for which most real-time simulations missed the severity of the rainfall.</p>
      <p id="d2e3781">Using the NCEP GFS historical archive as I.C. and B.C. (Fig. <xref ref-type="fig" rid="F15"/>e) – thus changing both the initial and boundary conditions with respect to REF –  results in a primary precipitation band that is less elongated in the southwest–northeast direction, with lower accumulation peaks compared to the REF simulation; conversely, the southern rainband appears more intense and longer than in REF. To isolate the impact of the initial and boundary conditions alone, an additional simulation was performed using the REF initial conditions (GDAS dataset) but driven by GFS forecast boundary conditions (Fig. <xref ref-type="fig" rid="F15"/>f). Compared to Fig. <xref ref-type="fig" rid="F15"/>e (thus exploring the effect of changing the I.C.), this configuration produces a less elongated northern rainband and more concentrated precipitation near Cantiano, while the southern rainband appears weaker. Comparing with Fig. <xref ref-type="fig" rid="F15"/>a (thus exploring the effect of changing the B.C. with respect to REF), the impact of the boundary condition appears a secondary one, although not negligible.</p>
      <p id="d2e3792">Finally, Fig. <xref ref-type="fig" rid="F15"/>g and h demonstrate that driving the model with high-resolution (HRES) ECMWF operational data and ERA5 reanalysis, respectively, fails to accurately reproduce the accumulated precipitation for this case. The ECMWF-driven run completely shifts the precipitation pattern to the north of the Adriatic coast (offshore).</p>

      <fig id="F16" specific-use="star"><label>Figure 16</label><caption><p id="d2e3799">Mean Sea Level Pressure (MSLP) [<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>] at 16:00 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 15 September 2022 for <bold>(a)</bold> the REF simulation and <bold>(b)</bold> the ECMWF simulation. Differences (REF minus ECMWF) at the same time are shown for <bold>(c)</bold> MSLP [<inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>] and <bold>(d)</bold> Most Unstable CAPE (MUCAPE) [<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>].</p></caption>
        <graphic xlink:href="https://nhess.copernicus.org/articles/26/5541/2026/nhess-26-5541-2026-f16.png"/>

      </fig>

      <p id="d2e3862">To understand this behavior, it is important to clarify the nature of the forcing datasets. The ECMWF initial and boundary conditions were provided as operational data on 20 standard pressure levels, whereas GDAS analyses included additional data and were available on 34 pressure levels. The coarser vertical resolution of the ECMWF fields might limit the accurate representation of the vertical thermodynamic structure, including the boundary layer and upper-troposphere dynamics. In contrast, the ERA5-driven run fails to generate the elongated banded structure, producing a weaker and incorrectly localized peak.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Identification of the Physical Drivers</title>
      <p id="d2e3873">To identify the physical factors responsible for the different simulation behavior, a comparative analysis of selected meteorological fields was conducted between the reference simulation (REF) and one of the runs missing the correct localization and intensity of the rainbands (i.e. the ECMWF-driven simulation). By comparing these two very different cases, the changes in the driving physical mechanisms are more pronounced.</p>
      <p id="d2e3876">The main discrepancies between the two simulations are localized in the lower troposphere. Specifically, in the afternoon the REF simulation exhibits a stronger meridional wind component over the area of interest compared to the ECMWF-driven run. The REF simulation also shows an enhancement in the low-level equivalent potential temperature (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), Precipitable Water (PW), and Integrated Vapor Transport (IVT) during the afternoon, due to a greater transport of warm and moist air over the Marche region (see Fig. S2 <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi></mml:mrow></mml:math></inline-formula> the Supplement). Conversely, the ECMWF-driven run anticipates the maxima of these fields during the morning, causing a temporal misalignment between the large-scale forcing and the mesoscale triggers.</p>
      <p id="d2e3898">This discrepancy in the low-level wind pattern is driven by differences in the Mean Sea Level Pressure (MSLP) fields (Fig. <xref ref-type="fig" rid="F16"/>a–c). Specifically, the REF simulation (Fig. <xref ref-type="fig" rid="F16"/>a) exhibits a stronger pressure gradient, established between a distinct low-pressure minimum near Venice and higher values over the northern Adriatic coast. This specific configuration drives the southerly flow over central Italy, while the same gradient is less apparent in the ECMWF-driven simulation (Fig. <xref ref-type="fig" rid="F16"/>b).</p>
      <p id="d2e3907">These dynamical differences affect the thermodynamic environment. Figure <xref ref-type="fig" rid="F16"/>d shows the spatial difference in MUCAPE between the REF and ECMWF simulations. The REF run produces higher instability over the central Apennines and the Marche region, while the ECMWF simulation shifts the peaks eastward.</p>
      <p id="d2e3913">While mid-tropospheric fields (500 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> geopotential height and <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mn mathvariant="normal">500</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) are broadly similar in the driving datasets, clear differences appear in the lower troposphere (850 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>). The initial and boundary fields (Fig. S3 in the Supplement) reveal a timing mismatch in lower-tropospheric moisture and temperature throughout the event. From initialization up to 06:00 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, the run driven by ECMWF forcing simulates warmer temperatures (from <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and higher relative humidity (from <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) over central Italy than in REF, alongside lower 850 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> geopotential height (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">gpm</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), suggesting an earlier transit of the trough axis compared to REF. Therefore, during the time period when convective initiation starts (12:00–18:00 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>) the pattern reverses: REF becomes warmer (from <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and wetter (from <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> higher relative humidity) directly over the target area. Meanwhile, Sea Surface Temperature (SST) differences remain small (<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.0</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and play only a secondary role; although REF exhibits slightly higher temperatures in the western Mediterranean and Alboran Sea, these features appear too far from our target domain to fully explain the different simulation outcomes. These results highlight the model sensitivity to the low-level forcing dataset, showing that differences in timing and location of moisture transport relative to the Apennine topography may contribute to significant changes in the simulated rainfall.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e4149">The analysis of the flood of 15 September 2022 in the Marche region highlights that the catastrophic event emerged from the simultaneous occurrence of different atmospheric forcings across multiple scales. Through the use of high-resolution WRF model simulations and observational data, this study identifies the key ingredients that caused the initiation and maintenance of the stationary convective system.</p>
      <p id="d2e4152">At the synoptic scale, the continuous transport of humid air masses from the western Mediterranean acted as the primary fuel, sustaining convection for several hours. While these dynamic factors drove the intensity of the phenomenon, the Apennine topography played the critical role of anchoring the convective system. The analysis reveals a primary convergence line that partially overlapped with the main precipitation band. Other isolated convergence nuclei were present inland and co-located with localized rainfall peaks. This suggests that orographic forcing played a crucial role: the terrain deformed the horizontal wind field, forced the air to converge, and consequently triggered convection through strong vertical uplift. In addition, vertical cross-sections show alternating vertical motion patterns consistent with orographic gravity wave activity, which may have locally modulated the updrafts leeward of the mountain barrier.</p>
      <p id="d2e4155">The comparison between the model output and the observations offers critical information on the capabilities and limitations of numerical simulations. Although the WRF model suggests a qualitative spatial agreement in reproducing the dynamical chain of events and the geometry of the precipitation band, including its orientation and position, it showed evident limitations in quantifying the exact rainfall accumulation. Nevertheless, the model's ability to correctly identify the structural precursors – such as the capping inversion, the convergence line, and the moisture transport – highlights its utility in representing the essential physical mechanisms driving this extreme convective event.</p>
      <p id="d2e4158">Sensitivity experiments emphasized the role of initial and boundary conditions, as well as physical parameterizations, in accurately predicting the event. While the reference GDAS-driven simulation and the runs with the same initial conditions but different boundary conditions captured the mesoscale features of the event, the model run forced with ECMWF data resulted in a significant northeastward displacement of the precipitation band. A comparative analysis identified the primary drivers of this discrepancy: despite an almost identical large-scale synoptic forcing in the mid-troposphere, the ECMWF-driven run failed to reproduce the correct low-level mesoscale dynamics for this case. Specifically, an underestimated meridional pressure gradient led to a weaker low-level wind field and altered the moisture transport. Furthermore, the ECMWF initial and boundary conditions showed an early lower-tropospheric (850 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>) warm and moist bias over central Italy. This induced a temporal mismatch between the thermodynamic instability peak and the dynamic triggers, preventing the system from releasing the accumulated potential energy at the correct location and timing. This demonstrates that the predictability of such extreme Mediterranean storms is constrained by the model's ability to resolve the dynamics of the lower troposphere and their timing in interacting with the local topography as well as with the upper level features. This is particularly relevant in the context of climate change, as the warmer SST in the Mediterranean area is affecting the air-sea interaction, hence the thermodynamics and dynamics of the lower troposphere.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e4173">The WRF configuration namelists, static domain files, and plotting scripts are available on Zenodo at  <ext-link xlink:href="https://doi.org/10.5281/zenodo.22808447" ext-link-type="DOI">10.5281/zenodo.22808447</ext-link> <xref ref-type="bibr" rid="bib1.bibx3" id="paren.33"/>. The WRF model outputs are available from the corresponding author upon reasonable request. The NCEP GDAS/FNL and GFS forcing datasets are publicly accessible through the NCAR Research Data Archive (<uri>https://rda.ucar.edu/</uri>, last access: 28 October 2026). The ERA5 reanalysis data were obtained from the Copernicus Climate Data Store (<uri>https://cds.climate.copernicus.eu/</uri>, last access: 28 October 2026). The ECMWF operational high-resolution (HRES) data were retrieved from the ECMWF Meteorological Archival and Retrieval System (MARS). The validated rain gauge observations were retrieved from the Civil Protection Department of the Marche Region (SIRMIP, <uri>http://app.protezionecivile.marche.it/</uri>, last access: 28 October 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4191">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/nhess-26-5541-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/nhess-26-5541-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4200">Conceptualization: MMM, EA; Methodology: MMM; Data curation: MB; Formal analysis: MB; Software: MB; Supervision: MMM, EA; Writing (original draft preparation): MB; Writing (review and editing): MB, MMM, EA.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4206">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="d2e4212">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="d2e4218">The authors gratefully acknowledge the National Research Council of Italy (CNR) for providing the high-performance computing resources and cluster infrastructure necessary to perform the numerical simulations presented in this study. Elenio Avolio and Mario Marcello Miglietta acknowledge financial support from the project “REDUCE METEO HAZARDS (RMH)”, BRiC-2024 call.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4223">This paper was edited by Jean-Baptiste Filippi and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Avolio et al.(2020)</label><mixed-citation>Avolio, E., Nisi, L., Panziera, L., Peyraud, L., and Miglietta, M. M.: A multi-sensor and modeling analysis of a severe convective storm in Lake Maggiore area (northwestern Italy), Atmos. Res., 242, 105008, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2020.105008" ext-link-type="DOI">10.1016/j.atmosres.2020.105008</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Bendia et al.(2026)</label><mixed-citation>Bendia, F., Farabollini, P., Materazzi, M., and Bufalini, M.: The 15 September 2022 floods in northern Marche (Central Italy): disaster analysis, case studies and mitigation strategies for hydro-geomorphological hazard, Nat. Hazards Earth Syst. Sci., 26, 1119–1140, <ext-link xlink:href="https://doi.org/10.5194/nhess-26-1119-2026" ext-link-type="DOI">10.5194/nhess-26-1119-2026</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Berton(2026)</label><mixed-citation>Berton, M.: Codes and Configurations for: Multi-scale dynamics and mesoscale drivers of the catastrophic September 2022 Marche flood (Version 1), Zenodo [software], <ext-link xlink:href="https://doi.org/10.5281/zenodo.22808447" ext-link-type="DOI">10.5281/zenodo.22808447</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Bolton(1980)</label><mixed-citation>Bolton, D.: The computation of equivalent potential temperature, Mon. Weather Rev., 108, 1046–1053, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1980)108&lt;1046:TCOEPT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1980)108&lt;1046:TCOEPT&gt;2.0.CO;2</ext-link>, 1980.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Czernecki et al.(2025)</label><mixed-citation>Czernecki, B., Taszarek, M., and Szuster, P.: thundeR: Computation and Visualisation of Atmospheric Convective Parameters, GitHub [code], <uri>https://bczernecki.github.io/thundeR/</uri> (last access: 27 October 2026), 2025.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Davolio et al.(2009)</label><mixed-citation>Davolio, S., Mastrangelo, D., Miglietta, M. M., Drofa, O., Buzzi, A., and Malguzzi, P.: High resolution simulations of a flash flood near Venice, Nat. Hazards Earth Syst. Sci., 9, 1671–1678, <ext-link xlink:href="https://doi.org/10.5194/nhess-9-1671-2009" ext-link-type="DOI">10.5194/nhess-9-1671-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Davolio et al.(2020)</label><mixed-citation>Davolio, S., Fera, S. D., Laviola, S., Miglietta, M. M., and Levizzani, V.: Heavy precipitation over Italy from the Mediterranean storm “Vaia” in October 2018: assessing the role of an atmospheric river, Mon. Weather Rev., 148, 3571–3588, <ext-link xlink:href="https://doi.org/10.1175/MWR-D-20-0021.1" ext-link-type="DOI">10.1175/MWR-D-20-0021.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Drobinski et al.(2014)</label><mixed-citation>Drobinski, P., Ducrocq, V., Alpert, P., Anagnostou, E., Béranger, K., Borga, M., Braud, I., Chanzy, A., Davolio, S., Delrieu, G., Estournel, C., Boubrahmi, N. F., Font, J., Grubišić, V., Gualdi, S., Homar, V., Ivančan-Picek, B., Kottmeier, C., Kotroni, V., Lagouvardos, K., Lionello, P., Llasat, M. C., Ludwig, W., Lutoff, C., Mariotti, A., Richard, E., Romero, R., Rotunno, R., Roussot, O., Ruin, I., Somot, S., Taupier-Letage, I., Tintore, J., Uijlenhoet, R., and Wernli, H.: HyMeX: A 10-year multidisciplinary program on the Mediterranean water cycle, B. Am. Meteorol. Soc., 95, 1063–1082, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-12-00242.1" ext-link-type="DOI">10.1175/BAMS-D-12-00242.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Dudhia(1989)</label><mixed-citation>Dudhia, J.: Numerical study of convection observed during the winter monsoon experiment using a mesoscale two-dimensional model, J. Atmos. Sci., 46, 3077–3107, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1989)046&lt;3077:NSOCOD&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1989)046&lt;3077:NSOCOD&gt;2.0.CO;2</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Fawbush and Miller(1954)</label><mixed-citation>Fawbush, E. J. and Miller, R. C.: The types of airmasses in which North American tornadoes form, B. Am. Meteorol. Soc., 35, 154–165, <ext-link xlink:href="https://doi.org/10.1175/1520-0477-35.4.154" ext-link-type="DOI">10.1175/1520-0477-35.4.154</ext-link>, 1954.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>González-Alemán et al.(2023)</label><mixed-citation>González-Alemán, J. J., Insua-Costa, D., Bazile, E., González-Herrero, S., Miglietta, M. M., Groenemeijer, P., and Donat, M. G.: Anthropogenic warming had a crucial role in triggering the historic and destructive Mediterranean derecho in summer 2022, B. Am. Meteorol. Soc., 104, E1526–E1532, <ext-link xlink:href="https://doi.org/10.1175/BAMS-D-23-0119.1" ext-link-type="DOI">10.1175/BAMS-D-23-0119.1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Hong et al.(2004)</label><mixed-citation>Hong, S.-Y., Dudhia, J., and Chen, S.-H.: A revised approach to ice microphysical processes for the bulk parameterization of clouds and precipitation, Mon. Weather Rev., 132, 103–120, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(2004)132&lt;0103:ARATIM&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(2004)132&lt;0103:ARATIM&gt;2.0.CO;2</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Hong et al.(2006)</label><mixed-citation>Hong, S.-Y., Noh, Y., and Dudhia, J.: A new vertical diffusion package with an explicit treatment of entrainment processes, Mon. Weather Rev., 134, 2318–2341, <ext-link xlink:href="https://doi.org/10.1175/MWR3199.1" ext-link-type="DOI">10.1175/MWR3199.1</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Iacono et al.(2008)</label><mixed-citation>Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the AER radiative transfer models, J. Geophys. Res.-Atmos., 113, <ext-link xlink:href="https://doi.org/10.1029/2008JD009944" ext-link-type="DOI">10.1029/2008JD009944</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Jiménez and Dudhia(2012)</label><mixed-citation>Jiménez, P. A. and Dudhia, J.: Improving the representation of resolved and unresolved topographic effects on surface wind in the WRF model, J. Appl. Meteorol., 51, 300–316, <ext-link xlink:href="https://doi.org/10.1175/JAMC-D-11-084.1" ext-link-type="DOI">10.1175/JAMC-D-11-084.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Kain(2004)</label><mixed-citation>Kain, J. S.: The Kain–Fritsch convective parameterization: an update, J. Appl. Meteorol., 43, 170–181, <ext-link xlink:href="https://doi.org/10.1175/1520-0450(2004)043&lt;0170:TKCPAU&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0450(2004)043&lt;0170:TKCPAU&gt;2.0.CO;2</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Khodayar et al.(2021)</label><mixed-citation>Khodayar, S., Davolio, S., Di Girolamo, P., Lebeaupin Brossier, C., Flaounas, E., Fourrie, N., Lee, K.-O., Ricard, D., Vie, B., Bouttier, F., Caldas-Alvarez, A., and Ducrocq, V.: Overview towards improved understanding of the mechanisms leading to heavy precipitation in the western Mediterranean: lessons learned from HyMeX, Atmos. Chem. Phys., 21, 17051–17078, <ext-link xlink:href="https://doi.org/10.5194/acp-21-17051-2021" ext-link-type="DOI">10.5194/acp-21-17051-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Lombardi et al.(2021)</label><mixed-citation>Lombardi, A., Colaiuda, V., Verdecchia, M., and Tomassetti, B.: User-oriented hydrological indices for early warning systems with validation using post-event surveys: flood case studies in the Central Apennine District, Hydrol. Earth Syst. Sci., 25, 1969–1992, <ext-link xlink:href="https://doi.org/10.5194/hess-25-1969-2021" ext-link-type="DOI">10.5194/hess-25-1969-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Mastrangelo et al.(2011)</label><mixed-citation>Mastrangelo, D., Horvath, K., Riccio, A., and Miglietta, M. M.: Mechanisms for convection development in a long-lasting heavy precipitation event over southeastern Italy, Atmos. Res., 100, 586–602, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2010.10.010" ext-link-type="DOI">10.1016/j.atmosres.2010.10.010</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Miglietta and Davolio(2022)</label><mixed-citation>Miglietta, M. M. and Davolio, S.: Dynamical forcings in heavy precipitation events over Italy: lessons from the HyMeX SOP1 campaign, Hydrol. Earth Syst. Sci., 26, 627–646, <ext-link xlink:href="https://doi.org/10.5194/hess-26-627-2022" ext-link-type="DOI">10.5194/hess-26-627-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Miglietta and Regano(2008)</label><mixed-citation>Miglietta, M. M. and Regano, A.: An observational and numerical study of a flash-flood event over south-eastern Italy, Nat. Hazards Earth Syst. Sci., 8, 1417–1430, <ext-link xlink:href="https://doi.org/10.5194/nhess-8-1417-2008" ext-link-type="DOI">10.5194/nhess-8-1417-2008</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Mlawer et al.(1997)</label><mixed-citation>Mlawer, E. J., Taubman, S. J., Brown, P. D., Iacono, M. J., and Clough, S. A.: Radiative transfer for inhomogeneous atmospheres: RRTM, a validated correlated-k model for the longwave, J. Geophys. Res.-Atmos., 102, 16663–16682, <ext-link xlink:href="https://doi.org/10.1029/97JD00237" ext-link-type="DOI">10.1029/97JD00237</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Niu et al.(2011)</label><mixed-citation>Niu, G.-Y., Yang, Z.-L., Mitchell, K. E., Chen, F., Ek, M. B., Barlage, M., Kumar, A., Manning, K., Niyogi, D., Rosero, E., Tewari, M., and Xia, Y.: The community Noah land surface model with multiparameterization options (Noah-MP): 1. Model description and evaluation with local-scale measurements, J. Geophys. Res.-Atmos., 116, <ext-link xlink:href="https://doi.org/10.1029/2010JD015139" ext-link-type="DOI">10.1029/2010JD015139</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Ralph and Dettinger(2011)</label><mixed-citation>Ralph, F. M. and Dettinger, M. D.: Storms, floods, and the science of atmospheric rivers, EOS T. Am. Geophys. Un., 92, 265–266, <ext-link xlink:href="https://doi.org/10.1029/2011EO320001" ext-link-type="DOI">10.1029/2011EO320001</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Sawyer(1956)</label><mixed-citation>Sawyer, J. S.: The physical and dynamical problems of orographic rain, Weather, 11, 375–381, <ext-link xlink:href="https://doi.org/10.1002/j.1477-8696.1956.tb00264.x" ext-link-type="DOI">10.1002/j.1477-8696.1956.tb00264.x</ext-link>, 1956.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Skamarock et al.(2019)</label><mixed-citation>Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Liu, Z., Berner, J., Wang, W., Powers, J. G., Duda, M. G., Barker, D. M., and Huang, X.-Y.: A Description of the Advanced Research WRF Model Version 4.1, Tech. Rep. NCAR/TN-556+STR, <ext-link xlink:href="https://doi.org/10.5065/1dfh-6p97" ext-link-type="DOI">10.5065/1dfh-6p97</ext-link>, 2019</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Tartaglione(2025)</label><mixed-citation>Tartaglione, N.: Unprecedented flooding in the Marche region (Italy): analyzing the 15 September 2022 event and its unique meteorological conditions, Meteorology, 4, <ext-link xlink:href="https://doi.org/10.3390/meteorology4010003" ext-link-type="DOI">10.3390/meteorology4010003</ext-link>, 2025. </mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Tewari et al.(2004)</label><mixed-citation>Tewari, M., Chen, F., Wang, W., Dudhia, J., LeMone, M. A., Mitchell, K., Ek, M., Gayno, G., Wegiel, J., and Cuenca, R. H.: Implementation and verification of the unified Noah land surface model in the WRF model, in: 20th Conference on Weather Analysis and Forecasting/16th Conference on Numerical Weather Prediction, 84th AMS Annual Meeting, Seattle, WA, USA, 11–15 January 2004, Paper 14.2a, available at: <uri>https://ams.confex.com/ams/84Annual/techprogram/paper_69061.htm</uri> (last access: 28 October 2026), 2004.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Thompson et al.(2008)</label><mixed-citation>Thompson, G., Field, P. R., Rasmussen, R. M., and Hall, W. D.: Explicit forecasts of winter precipitation using an improved bulk microphysics scheme. Part II: Implementation of a new snow parameterization, Mon. Weather Rev., 136, 5095–5115, <ext-link xlink:href="https://doi.org/10.1175/2008MWR2387.1" ext-link-type="DOI">10.1175/2008MWR2387.1</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Tiedtke(1989)</label><mixed-citation>Tiedtke, M.: A comprehensive mass flux scheme for cumulus parameterization in large-scale models, Mon. Weather Rev., 117, 1779–1800, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1989)117&lt;1779:ACMFSF&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1989)117&lt;1779:ACMFSF&gt;2.0.CO;2</ext-link>, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Torcasio et al.(2023)</label><mixed-citation>Torcasio, R. C., Papa, M., Frate, F. D., Dietrich, S., Toffah, F. E., and Federico, S.: Study of the intense meteorological event occurred in September 2022 over the Marche region with WRF model: impact of lightning data assimilation on rainfall and lightning prediction, Atmosphere-Basel, 14, <ext-link xlink:href="https://doi.org/10.3390/atmos14071152" ext-link-type="DOI">10.3390/atmos14071152</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Uccellini and Johnson(1979)</label><mixed-citation>Uccellini, L. W. and Johnson, D. R.: The coupling of upper and lower tropospheric jet streaks and implications for the development of severe convective storms, Mon. Weather Rev., 107, 682–703, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1979)107&lt;0682:TCOUAL&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1979)107&lt;0682:TCOUAL&gt;2.0.CO;2</ext-link>, 1979.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Zhang et al.(2002)</label><mixed-citation>Zhang, F., Snyder, C., and Rotunno, R.: Mesoscale predictability of the “Surprise” snowstorm of 24–25 January 2000, Mon. Weather Rev., 130, 1617–1632, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(2002)130&lt;1617:MPOTSS&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(2002)130&lt;1617:MPOTSS&gt;2.0.CO;2</ext-link>, 2002.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Multi-scale dynamics and mesoscale drivers of the catastrophic September 2022 Marche (central Italy) flood</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Avolio et al.(2020)</label><mixed-citation>
       Avolio, E., Nisi, L., Panziera, L., Peyraud, L., and Miglietta, M. M.: A multi-sensor and modeling analysis of a severe convective storm in Lake Maggiore area (northwestern Italy), Atmos. Res., 242, 105008, <a href="https://doi.org/10.1016/j.atmosres.2020.105008" target="_blank">https://doi.org/10.1016/j.atmosres.2020.105008</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Bendia et al.(2026)</label><mixed-citation>
       Bendia, F., Farabollini, P., Materazzi, M., and Bufalini, M.: The 15 September 2022 floods in northern Marche (Central Italy): disaster analysis, case studies and mitigation strategies for hydro-geomorphological hazard, Nat. Hazards Earth Syst. Sci., 26, 1119–1140, <a href="https://doi.org/10.5194/nhess-26-1119-2026" target="_blank">https://doi.org/10.5194/nhess-26-1119-2026</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Berton(2026)</label><mixed-citation>
      
Berton, M.: Codes and Configurations for: Multi-scale dynamics and mesoscale drivers of the catastrophic September 2022 Marche flood (Version 1), Zenodo [software], <a href="https://doi.org/10.5281/zenodo.22808447" target="_blank">https://doi.org/10.5281/zenodo.22808447</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Bolton(1980)</label><mixed-citation>
       Bolton, D.: The computation of equivalent potential temperature, Mon. Weather Rev., 108, 1046–1053, <a href="https://doi.org/10.1175/1520-0493(1980)108&lt;1046:TCOEPT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1980)108&lt;1046:TCOEPT&gt;2.0.CO;2</a>, 1980.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Czernecki et al.(2025)</label><mixed-citation>
      
Czernecki, B., Taszarek, M., and Szuster, P.: thundeR: Computation and Visualisation of Atmospheric Convective Parameters, GitHub [code], <a href="https://bczernecki.github.io/thundeR/" target="_blank"/> (last access: 27 October 2026), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Davolio et al.(2009)</label><mixed-citation>
       Davolio, S., Mastrangelo, D., Miglietta, M. M., Drofa, O., Buzzi, A., and Malguzzi, P.: High resolution simulations of a flash flood near Venice, Nat. Hazards Earth Syst. Sci., 9, 1671–1678, <a href="https://doi.org/10.5194/nhess-9-1671-2009" target="_blank">https://doi.org/10.5194/nhess-9-1671-2009</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Davolio et al.(2020)</label><mixed-citation>
       Davolio, S., Fera, S. D., Laviola, S., Miglietta, M. M., and Levizzani, V.: Heavy precipitation over Italy from the Mediterranean storm “Vaia” in October 2018: assessing the role of an atmospheric river, Mon. Weather Rev., 148, 3571–3588, <a href="https://doi.org/10.1175/MWR-D-20-0021.1" target="_blank">https://doi.org/10.1175/MWR-D-20-0021.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Drobinski et al.(2014)</label><mixed-citation>
       Drobinski, P., Ducrocq, V., Alpert, P., Anagnostou, E., Béranger, K., Borga, M., Braud, I., Chanzy, A., Davolio, S., Delrieu, G., Estournel, C., Boubrahmi, N. F., Font, J., Grubišić, V., Gualdi, S., Homar, V., Ivančan-Picek, B., Kottmeier, C., Kotroni, V., Lagouvardos, K., Lionello, P., Llasat, M. C., Ludwig, W., Lutoff, C., Mariotti, A., Richard, E., Romero, R., Rotunno, R., Roussot, O., Ruin, I., Somot, S., Taupier-Letage, I., Tintore, J., Uijlenhoet, R., and Wernli, H.: HyMeX: A 10-year multidisciplinary program on the Mediterranean water cycle, B. Am. Meteorol. Soc., 95, 1063–1082, <a href="https://doi.org/10.1175/BAMS-D-12-00242.1" target="_blank">https://doi.org/10.1175/BAMS-D-12-00242.1</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Dudhia(1989)</label><mixed-citation>
       Dudhia, J.: Numerical study of convection observed during the winter monsoon experiment using a mesoscale two-dimensional model, J. Atmos. Sci., 46, 3077–3107, <a href="https://doi.org/10.1175/1520-0469(1989)046&lt;3077:NSOCOD&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1989)046&lt;3077:NSOCOD&gt;2.0.CO;2</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Fawbush and Miller(1954)</label><mixed-citation>
       Fawbush, E. J. and Miller, R. C.: The types of airmasses in which North American tornadoes form, B. Am. Meteorol. Soc., 35, 154–165, <a href="https://doi.org/10.1175/1520-0477-35.4.154" target="_blank">https://doi.org/10.1175/1520-0477-35.4.154</a>, 1954.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>González-Alemán et al.(2023)</label><mixed-citation>
       González-Alemán, J. J., Insua-Costa, D., Bazile, E., González-Herrero, S., Miglietta, M. M., Groenemeijer, P., and Donat, M. G.: Anthropogenic warming had a crucial role in triggering the historic and destructive Mediterranean derecho in summer 2022, B. Am. Meteorol. Soc., 104, E1526–E1532, <a href="https://doi.org/10.1175/BAMS-D-23-0119.1" target="_blank">https://doi.org/10.1175/BAMS-D-23-0119.1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Hong et al.(2004)</label><mixed-citation>
       Hong, S.-Y., Dudhia, J., and Chen, S.-H.: A revised approach to ice microphysical processes for the bulk parameterization of clouds and precipitation, Mon. Weather Rev., 132, 103–120, <a href="https://doi.org/10.1175/1520-0493(2004)132&lt;0103:ARATIM&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(2004)132&lt;0103:ARATIM&gt;2.0.CO;2</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Hong et al.(2006)</label><mixed-citation>
       Hong, S.-Y., Noh, Y., and Dudhia, J.: A new vertical diffusion package with an explicit treatment of entrainment processes, Mon. Weather Rev., 134, 2318–2341, <a href="https://doi.org/10.1175/MWR3199.1" target="_blank">https://doi.org/10.1175/MWR3199.1</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Iacono et al.(2008)</label><mixed-citation>
       Iacono, M. J., Delamere, J. S., Mlawer, E. J., Shephard, M. W., Clough, S. A., and Collins, W. D.: Radiative forcing by long-lived greenhouse gases: Calculations with the AER radiative transfer models, J. Geophys. Res.-Atmos., 113, <a href="https://doi.org/10.1029/2008JD009944" target="_blank">https://doi.org/10.1029/2008JD009944</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Jiménez and Dudhia(2012)</label><mixed-citation>
       Jiménez, P. A. and Dudhia, J.: Improving the representation of resolved and unresolved topographic effects on surface wind in the WRF model, J. Appl. Meteorol., 51, 300–316, <a href="https://doi.org/10.1175/JAMC-D-11-084.1" target="_blank">https://doi.org/10.1175/JAMC-D-11-084.1</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Kain(2004)</label><mixed-citation>
       Kain, J. S.: The Kain–Fritsch convective parameterization: an update, J. Appl. Meteorol., 43, 170–181, <a href="https://doi.org/10.1175/1520-0450(2004)043&lt;0170:TKCPAU&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0450(2004)043&lt;0170:TKCPAU&gt;2.0.CO;2</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Khodayar et al.(2021)</label><mixed-citation>
       Khodayar, S., Davolio, S., Di Girolamo, P., Lebeaupin Brossier, C., Flaounas, E., Fourrie, N., Lee, K.-O., Ricard, D., Vie, B., Bouttier, F., Caldas-Alvarez, A., and Ducrocq, V.: Overview towards improved understanding of the mechanisms leading to heavy precipitation in the western Mediterranean: lessons learned from HyMeX, Atmos. Chem. Phys., 21, 17051–17078, <a href="https://doi.org/10.5194/acp-21-17051-2021" target="_blank">https://doi.org/10.5194/acp-21-17051-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Lombardi et al.(2021)</label><mixed-citation>
       Lombardi, A., Colaiuda, V., Verdecchia, M., and Tomassetti, B.: User-oriented hydrological indices for early warning systems with validation using post-event surveys: flood case studies in the Central Apennine District, Hydrol. Earth Syst. Sci., 25, 1969–1992, <a href="https://doi.org/10.5194/hess-25-1969-2021" target="_blank">https://doi.org/10.5194/hess-25-1969-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Mastrangelo et al.(2011)</label><mixed-citation>
       Mastrangelo, D., Horvath, K., Riccio, A., and Miglietta, M. M.: Mechanisms for convection development in a long-lasting heavy precipitation event over southeastern Italy, Atmos. Res., 100, 586–602, <a href="https://doi.org/10.1016/j.atmosres.2010.10.010" target="_blank">https://doi.org/10.1016/j.atmosres.2010.10.010</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Miglietta and Davolio(2022)</label><mixed-citation>
       Miglietta, M. M. and Davolio, S.: Dynamical forcings in heavy precipitation events over Italy: lessons from the HyMeX SOP1 campaign, Hydrol. Earth Syst. Sci., 26, 627–646, <a href="https://doi.org/10.5194/hess-26-627-2022" target="_blank">https://doi.org/10.5194/hess-26-627-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Miglietta and Regano(2008)</label><mixed-citation>
       Miglietta, M. M. and Regano, A.: An observational and numerical study of a flash-flood event over south-eastern Italy, Nat. Hazards Earth Syst. Sci., 8, 1417–1430, <a href="https://doi.org/10.5194/nhess-8-1417-2008" target="_blank">https://doi.org/10.5194/nhess-8-1417-2008</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Mlawer et al.(1997)</label><mixed-citation>
       Mlawer, E. J., Taubman, S. J., Brown, P. D., Iacono, M. J., and Clough, S. A.: Radiative transfer for inhomogeneous atmospheres: RRTM, a validated correlated-k model for the longwave, J. Geophys. Res.-Atmos., 102, 16663–16682, <a href="https://doi.org/10.1029/97JD00237" target="_blank">https://doi.org/10.1029/97JD00237</a>, 1997.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Niu et al.(2011)</label><mixed-citation>
       Niu, G.-Y., Yang, Z.-L., Mitchell, K. E., Chen, F., Ek, M. B., Barlage, M., Kumar, A., Manning, K., Niyogi, D., Rosero, E., Tewari, M., and Xia, Y.: The community Noah land surface model with multiparameterization options (Noah-MP): 1. Model description and evaluation with local-scale measurements, J. Geophys. Res.-Atmos., 116, <a href="https://doi.org/10.1029/2010JD015139" target="_blank">https://doi.org/10.1029/2010JD015139</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Ralph and Dettinger(2011)</label><mixed-citation>
       Ralph, F. M. and Dettinger, M. D.: Storms, floods, and the science of atmospheric rivers, EOS T. Am. Geophys. Un., 92, 265–266, <a href="https://doi.org/10.1029/2011EO320001" target="_blank">https://doi.org/10.1029/2011EO320001</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Sawyer(1956)</label><mixed-citation>
       Sawyer, J. S.: The physical and dynamical problems of orographic rain, Weather, 11, 375–381, <a href="https://doi.org/10.1002/j.1477-8696.1956.tb00264.x" target="_blank">https://doi.org/10.1002/j.1477-8696.1956.tb00264.x</a>, 1956.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Skamarock et al.(2019)</label><mixed-citation>
      
Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Liu, Z., Berner, J., Wang, W., Powers, J. G., Duda, M. G., Barker, D. M., and Huang, X.-Y.: A Description of the Advanced Research WRF Model Version 4.1, Tech. Rep. NCAR/TN-556+STR, <a href="https://doi.org/10.5065/1dfh-6p97" target="_blank">https://doi.org/10.5065/1dfh-6p97</a>, 2019

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Tartaglione(2025)</label><mixed-citation>
       Tartaglione, N.: Unprecedented flooding in the Marche region (Italy): analyzing the 15 September 2022 event and its unique meteorological conditions, Meteorology, 4, <a href="https://doi.org/10.3390/meteorology4010003" target="_blank">https://doi.org/10.3390/meteorology4010003</a>, 2025.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Tewari et al.(2004)</label><mixed-citation>
      
Tewari, M., Chen, F., Wang, W., Dudhia, J., LeMone, M. A., Mitchell, K., Ek, M., Gayno, G., Wegiel, J., and Cuenca, R. H.: Implementation and verification of the unified Noah land surface model in the WRF model, in: 20th Conference on Weather Analysis and Forecasting/16th Conference on Numerical Weather Prediction, 84th AMS Annual Meeting, Seattle, WA, USA, 11–15 January 2004, Paper 14.2a, available at: <a href="https://ams.confex.com/ams/84Annual/techprogram/paper_69061.htm" target="_blank"/> (last access: 28 October 2026), 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Thompson et al.(2008)</label><mixed-citation>
       Thompson, G., Field, P. R., Rasmussen, R. M., and Hall, W. D.: Explicit forecasts of winter precipitation using an improved bulk microphysics scheme. Part II: Implementation of a new snow parameterization, Mon. Weather Rev., 136, 5095–5115, <a href="https://doi.org/10.1175/2008MWR2387.1" target="_blank">https://doi.org/10.1175/2008MWR2387.1</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Tiedtke(1989)</label><mixed-citation>
       Tiedtke, M.: A comprehensive mass flux scheme for cumulus parameterization in large-scale models, Mon. Weather Rev., 117, 1779–1800, <a href="https://doi.org/10.1175/1520-0493(1989)117&lt;1779:ACMFSF&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1989)117&lt;1779:ACMFSF&gt;2.0.CO;2</a>, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Torcasio et al.(2023)</label><mixed-citation>
       Torcasio, R. C., Papa, M., Frate, F. D., Dietrich, S., Toffah, F. E., and Federico, S.: Study of the intense meteorological event occurred in September 2022 over the Marche region with WRF model: impact of lightning data assimilation on rainfall and lightning prediction, Atmosphere-Basel, 14, <a href="https://doi.org/10.3390/atmos14071152" target="_blank">https://doi.org/10.3390/atmos14071152</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Uccellini and Johnson(1979)</label><mixed-citation>
       Uccellini, L. W. and Johnson, D. R.: The coupling of upper and lower tropospheric jet streaks and implications for the development of severe convective storms, Mon. Weather Rev., 107, 682–703, <a href="https://doi.org/10.1175/1520-0493(1979)107&lt;0682:TCOUAL&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1979)107&lt;0682:TCOUAL&gt;2.0.CO;2</a>, 1979.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Zhang et al.(2002)</label><mixed-citation>
       Zhang, F., Snyder, C., and Rotunno, R.: Mesoscale predictability of the “Surprise” snowstorm of 24–25 January 2000, Mon. Weather Rev., 130, 1617–1632, <a href="https://doi.org/10.1175/1520-0493(2002)130&lt;1617:MPOTSS&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(2002)130&lt;1617:MPOTSS&gt;2.0.CO;2</a>, 2002.

    </mixed-citation></ref-html>--></article>
