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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-13157-2026</article-id><title-group><article-title>An observational perspective on precipitation efficiency of mesoscale convective systems over the  Asian Monsoon Region</article-title><alt-title>An observational perspective on MCS precipitation efficiency</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Makgoale</surname><given-names>Thabo</given-names></name>
          <email>temakgoale@arizona.edu</email>
        <ext-link>https://orcid.org/0000-0002-5197-4353</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Sullivan</surname><given-names>Sylvia</given-names></name>
          <email>sylvia@arizona.edu</email>
        <ext-link>https://orcid.org/0000-0003-0203-3052</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Kukulies</surname><given-names>Julia</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Hydrology and Atmospheric Sciences, University of Arizona, Tucson, Arizona, AZ, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Chemical &amp; Environmental Engineering, The University of Arizona, Tucson, AZ, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Mesoscale and Microscale Meteorology Laboratory, NCAR, Boulder, CO, USA</institution>
        </aff>
        <aff id="aff4"><label>a</label><institution>now at: Department of Meteorology, University of Reading, Reading, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Thabo Makgoale (temakgoale@arizona.edu) and Sylvia Sullivan (sylvia@arizona.edu)</corresp></author-notes><pub-date><day>18</day><month>September</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>18</issue>
      <fpage>13157</fpage><lpage>13173</lpage>
      <history>
        <date date-type="received"><day>13</day><month>March</month><year>2026</year></date>
           <date date-type="rev-request"><day>1</day><month>April</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>5</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Thabo Makgoale 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://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026.html">This article is available from https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e123">This study investigates the precipitation efficiency (<inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) of tropical mesoscale convective systems (MCSs) using satellite-based precipitation rates (<inline-formula><mml:math id="M2" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>) and reanalysis cloud, ice, and liquid water paths (CWP, IWP, LWP). We define <inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> as the ratio of <inline-formula><mml:math id="M4" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> to CWP, following <xref ref-type="bibr" rid="bib1.bibx28" id="text.1"/>, and phase-partition it using IWP and LWP. We calculate these metrics for a total of 1321 MCSs tracked by the Python FLEXible Object TRacKeR (PyFLEXTRKR) algorithm and focus on southern Asia during monsoon season, given its frequent MCS occurrence. We first look at spatial distributions, analyzing longitudinal and latitudinal trends in MCS versus non-MCS <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. MCS <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values are 50 % higher than <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> from non-MCS convection on average and increase from north to sorth and from west to east along monsoonal moisture gradients. Decompositions of <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across different regions of the MCSs indicate that the highest <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> consistently occurs within the core, followed by the cold and then warm anvils. Scaling <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> by MCS area shows that all <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics increase with area up to an MCS effective diameter of 160 km. This trend is consistent with enhanced ice growth associated with deeper clouds and stronger convective organization in larger MCSs, before <inline-formula><mml:math id="M12" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> decreases again in the largest systems where cloud ice growth has reached its maximum. In contrast, all <inline-formula><mml:math id="M13" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics increase monotonically with MCS depth, indicating that deeper systems convert cloud condensate into surface precipitation more efficiently without the non-monotonicity observed in the <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>-area scalings. Finally, <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> increases rapidly during the first <inline-formula><mml:math id="M16" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20 % of the MCS lifecycle and decreases more gradually during the remaining decay phase – consistent with our scalings and reflecting enhanced efficiency during periods of system growth, expansion, and deepening.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e258">Precipitation efficiency (<inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) quantifies the effectiveness with which cloud systems convert atmospheric water vapor into condensate and, ultimately, surface precipitation. It encapsulates timescales associated with cloud processes from condensation to rainfall production, thereby linking microphysics to large-scale water and energy budgets. <inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is a critical process diagnostic for evaluating model skill in predicting precipitation and flash floods <xref ref-type="bibr" rid="bib1.bibx10" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>, elucidating the mechanisms of cloud-radiative feedback <xref ref-type="bibr" rid="bib1.bibx46" id="paren.3"><named-content content-type="pre">e.g.,</named-content></xref>, and linking cloud diabatic heating structure to large-scale flow <xref ref-type="bibr" rid="bib1.bibx47" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e290"><inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> varies with cloud type, due to changes in entrainment and detrainment, warm-rain versus ice-phase microphysics, and cloud organization. Previous studies have improved our understanding of <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across cloud types. For example, domain-averaged analyses show that <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> increases with environmental humidity and cloud organization <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx46 bib1.bibx28" id="paren.5"><named-content content-type="pre">e.g.,</named-content></xref>. More recent storm-based studies demonstrate that highly organized systems, such as tropical cyclones and mesoscale convective systems, generally exhibit higher <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> than less organized convection, while convective cores are more efficient than surrounding stratiform regions <xref ref-type="bibr" rid="bib1.bibx27" id="paren.6"><named-content content-type="pre">e.g.,</named-content></xref>. Weakly aggregated convection tends to produce lower efficiencies, consistent with recent work reporting robust enhancements of extreme precipitation intensity  with organization <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx7" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>. Stronger boundary layer–lower troposphere mixing can reduce the <inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> of low-level liquid clouds and thereby amplify model climate sensitivity <xref ref-type="bibr" rid="bib1.bibx44" id="paren.8"/>. The response of <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across different cloud and weather systems to surface warming also remains an open question. If clouds have larger condensate mass mixing ratios (i.e., higher cloud water path) as the surface warms, they can convert condensate into precipitation more efficiently <xref ref-type="bibr" rid="bib1.bibx32" id="paren.9"/>. For extratropical clouds, as ice converts to liquid under warming, <inline-formula><mml:math id="M25" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> should decrease, as condensate-to-precipitation conversion decreases with this phase change <xref ref-type="bibr" rid="bib1.bibx33" id="paren.10"/>.</p>
      <p id="d2e367">Many of these studies have focused on storm- or domain-integrated <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, while less is known about geographical variations in <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> for storm systems, liquid- versus ice-phase efficiencies, or evolution of <inline-formula><mml:math id="M28" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> over storm lifecycles. We address some of these limitations here by investigating the spatial and statistical distributions and lifecycle evolution of <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> from mesoscale convective systems (MCSs) in satellite and reanalysis data. MCSs are a form of highly organized storm system, characterized by deep convective cores and expansive anvil clouds that can cover hundreds of kilometers <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx30" id="paren.11"/>.  As deep convection aggregates into MCSs, moisture concentrates within active convective regions, while surrounding areas become drier. This spatial organization reduces the entrainment of unsaturated air into convective updrafts, thus limiting the dilution of condensate in the cores <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx51" id="paren.12"/>. Reduced dilution can enhance condensate growth and rainfall production, leading to higher <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in strongly organized convection compared to cases with more randomly distributed convection. Convective cores generally exhibit higher <inline-formula><mml:math id="M31" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> than surrounding stratiform regions, as strong updrafts promote rapid condensate conversion, whereas stratiform regions favor condensate retention <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx20 bib1.bibx27" id="paren.13"><named-content content-type="pre">e.g.,</named-content></xref>. The smaller raindrops of stratiform precipitation also fall more slowly and are more susceptible to evaporation during descent, given their larger surface-area-to-volume ratio, again lowering <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> for stratiform regions <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx52 bib1.bibx31" id="paren.14"/>.</p>
      <p id="d2e434">Better understanding variations in MCS <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> – within systems and over their lifecycles but also geographically over regions where MCS occur – could provide insight into improved precipitation predictions and constrained representations of convective organization in models. Persistent MCS precipitation biases have been widely documented in global climate model (GCM) evaluations <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx29 bib1.bibx9 bib1.bibx21" id="paren.15"><named-content content-type="pre">e.g.,</named-content></xref>. In particular, many GCMs tend to underestimate total MCS rainfall while overestimating extreme precipitation rates, and often fail to reproduce the observed spatial and temporal organization of these systems. Primary causes of these deficiencies are the relatively coarse horizontal grid spacing (<inline-formula><mml:math id="M34" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 100 km) and reliance on parameterized convection in most GCMs, which together inhibit the realistic formation, enhanced growth, and organized propagation of MCSs. As a result, simulated convective systems are typically too localized, intense, and short-lived and lack sufficient stratiform precipitation structure <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx43 bib1.bibx18" id="paren.16"/>. Increases in computing power have facilitated the development of a new generation of global storm-resolving models (GSRMs), allowing global simulations with horizontal grid spacings of 2 to 5 km that explicitly resolve deep convection. These GSRMs, such as the models participating in the DYnamics of the Atmospheric general circulation Modeled On Non-hydrostatic Domains (DYAMOND) intercomparison <xref ref-type="bibr" rid="bib1.bibx45" id="paren.17"/>, therefore offer a powerful means of assessing the processes governing <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and its variability across regions dominated by MCSs.</p>
      <p id="d2e471">Recent work with GSRM output has shown improvements in simulating frequency, horizontal extent, and diurnal cycle of MCSs compared to parameterized models, in turn yielding improvement in related cloud-radiative feedbacks <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx25 bib1.bibx34" id="paren.18"/>. However, an overestimate of high-intensity convective rainfall and underestimate of low-intensity stratiform rainfall from MCSs persists within GSRMs, due to poorly resolved mesoscale circulations and microphysical processes <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx6 bib1.bibx55" id="paren.19"><named-content content-type="pre">e.g.,</named-content></xref>. Our recent study examined <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in a subset of DYAMOND models and found that the regions where these models strongly over- or underestimate precipitation intensity (<inline-formula><mml:math id="M37" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>) relative to satellite data are also the regions dominated by MCS rainfall, such as the Bay of Bengal and northern Indian Ocean <xref ref-type="bibr" rid="bib1.bibx35" id="paren.20"/>. These correlations of rainfall biases and MCS occurrence again indicate that <inline-formula><mml:math id="M38" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> could provide a useful metric in improving precipitation simulation, with model-observation differences pointing to deficiencies in microphysical conversion processes, condensate retention, or dynamical controls on precipitation formation.</p>
      <p id="d2e510">Both here and in our DYAMOND study, we adopt the <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> definition proposed by <xref ref-type="bibr" rid="bib1.bibx28" id="text.21"/>, as the ratio of precipitation intensity (<inline-formula><mml:math id="M40" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>) to cloud water path, for a few reasons. First, <inline-formula><mml:math id="M41" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is physically interpretable as the inverse of a bulk condensate conversion timescale and thus not dimensionless: <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in units of h<sup>−1</sup> reflects the inverse of the condensate-to-precipitation conversion timescale. Higher values of <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> indicate a shorter residence time and a more efficient conversion of condensate to precipitation, while lower values indicate a longer retention of condensate aloft. Second, this formulation enables use of satellite and reanalysis data, as it depends on observable quantities. Lastly, this <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> definition facilitates model evaluation, as it depends only on two-dimensional model output without requiring computationally expensive microphysical tendencies that are usually not saved as standard model output.</p>
      <p id="d2e574">In this study, we investigate the <inline-formula><mml:math id="M46" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> of tropical MCSs using satellite-based convective tracking and precipitation data and reanalysis-derived cloud water path fields. Our analysis is organized around three primary objectives. First, we evaluate whether systematic geographic differences emerge in <inline-formula><mml:math id="M47" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> between organized and isolated convective systems, distinguishing contributions of liquid- and ice-phase hydrometeors to rainfall production. Then, we examine how <inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> varies with key structural attributes of MCSs, including their size and vertical extent. Lastly, we quantify the evolution of efficiency over MCS lifecycle from initiation through maturation and decay. By establishing observationally constrained values of <inline-formula><mml:math id="M49" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in organized tropical convection, this study aims to advance the physical understanding of MCS precipitation formation processes and provide a basis for evaluating global climate and storm-resolving models.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data Sources</title>
      <p id="d2e620">For observational MCS tracking, <xref ref-type="bibr" rid="bib1.bibx12" id="text.22"/> employed precipitation estimates from NASA Global Precipitation Measurement (GPM) Integrated MultisatellitE Retrievals (IMERG V06B; <xref ref-type="bibr" rid="bib1.bibx22" id="altparen.23"/>) and infrared (IR) brightness temperature (Tb) data from the Global Merged IR product <xref ref-type="bibr" rid="bib1.bibx24" id="paren.24"/>. Both datasets provide a continuous 20-year record that stretches from June 2000 through March 2020. The IMERG data set offers half-hourly surface precipitation rates at 0.1° spatial resolution derived from passive microwave sensors, averaged to hourly intervals to ensure consistency during tracking. The IR Tb data, originally available at 4 km spatial resolution and 30 min frequency, were regridded to the 0.1° IMERG grid using the Earth System Modeling Framework (ESMF; ESMPy) bilinear interpolation to enable pixel-level collocation. The resulting Tb precipitation data set provides a globally consistent gridded product on an hourly basis between 60° S and 60° N, allowing a robust evaluation of both the spatial organization and temporal evolution of convective systems.</p>
      <p id="d2e632">We obtain cloud liquid water path (LWP) and cloud ice water path (IWP) from the European Centre for Medium-Range Weather Forecasts (ECMWF) ERA5 reanalysis <xref ref-type="bibr" rid="bib1.bibx17" id="paren.25"/>. ERA5 offers hourly global atmospheric fields with 137 vertical levels that extend from the surface to 0.01 hPa at a horizontal resolution of 0.25°. LWP comes from the ERA5 total column cloud liquid water field, IWP is the sum of total column cloud ice and snow water, and the sum of LWP and IWP yields total cloud water path (CWP). These ERA5 condensate fields include grid-scale cloud condensate but not frozen hydrometeors represented in the ECMWF convective microphysics. As a result, ERA5 IWP does not fully represent all frozen condensate associated with deep convective precipitation, such as convective snowfall. To ensure collocation with satellite-derived <inline-formula><mml:math id="M50" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>, hourly CWP, LWP, and IWP were spatiotemporally interpolated to match the GPM IMERG grid data.</p>
      <p id="d2e648">We also use the Chalmers Cloud Ice Climatology (CCIC) to evaluate an alternate definition of  <inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx3 bib1.bibx41" id="paren.26"/>. CCIC provides IWP at 0.036° spatial and 30 min temporal resolution, derived from geostationary infrared satellite observations using a convolutional neural network trained on CloudSat 2C-ICE and 2B-CLDCLASS retrievals. The retrieval relies on 11 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> infrared brightness temperatures from the globally gridded, 3-hourly GridSat-B1 (1980–present) and half-hourly CPCIR (2000–present) datasets. Extensive validation against independent in-situ measurements, spaceborne cloud radar observations, ground-based Cloudnet retrievals, and global cloud ice records demonstrates that CCIC realistically captures the magnitude, spatial structure, and diurnal variability of ice clouds, with correlations of <inline-formula><mml:math id="M53" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.6 to 0.75 for both IWP and IWC across datasets <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx41" id="paren.27"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>MCS Tracking Data</title>
      <p id="d2e689">For MCS tracking, we use the publicly available Python FLEXible Object TRacKeR (PyFLEXTRKR) dataset, described by <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx12" id="text.28"/>, rather than performing our own tracking. PyFLEXTRKR automatically detects and tracks the evolution of organized deep convective systems over their lifecycles, from a Tb threshold of 225 K for convective cores. From this core, the cold cloud shield (CCS) is expanded outward to include neighboring cloud regions with Tb <inline-formula><mml:math id="M54" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 241 K, subject to a minimum area of 4 <inline-formula><mml:math id="M55" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>4</sup> km<sup>2</sup>, using a “detect-and-spread” method to capture the anvil/outflow region. These CCSs are further refined to MCSs by filtering for those collocated with a precipitation feature (PF) of mean hourly rain rate <inline-formula><mml:math id="M58" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 mm h<sup>−1</sup> and major-axis length exceeding 100 km. The algorithm requires PFs to meet additional thresholds in area, mean rain rate, rain-rate skewness, and heavy-rain volume ratio, which are set according to the lifetime of the system: For example, for an MCS with a lifetime of 15 h, the thresholds for PF area, mean rain rate, rain-rate skewness, and heavy-rain volume ratio are 4200 km<sup>2</sup>, 3.2 mm h<sup>−1</sup>, 0.3, and 10 %, respectively. These thresholds are prescribed as functions of MCS lifetime, increasing with system lifetime following the criteria of <xref ref-type="bibr" rid="bib1.bibx12" id="text.29"/>. Both the CCS and PF criteria must be satisfied for at least 4 consecutive hours to exclude short-lived convective clusters. PyFLEXTRKR establishes continuity between consecutive time steps by tracking the overlap of CCS masks and consistency in propagation direction, producing time-linked MCS tracks (see Fig. 1 in <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.30"/>). PyFLEXTRKR does not explicitly filter out tropical cyclones or atmospheric rivers, but the size, duration, and convective intensity thresholds largely exclude non-convective or synoptically driven systems. We define non-MCS <inline-formula><mml:math id="M62" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> as precipitation associated with identified cold cloud objects that do not meet the MCS identification criteria.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Hourly Pixel Level MCS data</title>
      <p id="d2e792">The MCS tracking pixel-level dataset from PyFLEXTRKR exists on a global 0.1° grid every hour, spanning 60° S to 60° N. Each data file contains fields of Tb, surface precipitation rate, and MCS-masked variables, including track number and core, cold anvil, and warm anvil regions of the MCS. While the core is characterized by Tb <inline-formula><mml:math id="M63" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 225 K, cold anvils have warmer Tb between 225 and 241 K and warm anvils have the warmest Tb from 241 up to 261 K. Figure <xref ref-type="fig" rid="F1"/>a–d provides an example of the PyFLEXTRKR pixel-level data from August 2016 with multiple MCSs observed over the Asian monsoon domain, illustrating that localized maxima in IMERG <inline-formula><mml:math id="M64" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> are generally collocated with the coldest convective cores. Convective cores (in blue) are typically surrounded by cold anvil (in red) and warm anvil (in green) but with internal heterogeneity between the MCSs (Fig. <xref ref-type="fig" rid="F1"/>c). Lastly, cloud track numbers uniquely label individual MCS objects and enable temporal tracking (Fig. <xref ref-type="fig" rid="F1"/>d).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e820">PyFLEXTRKR brightness temperature and precipitation fields reveal widespread deep convection (Tb <inline-formula><mml:math id="M65" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 220 K) with <inline-formula><mml:math id="M66" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 6 mm h<sup>−1</sup> over the Asian monsoon region. Snapshots of pixel-level MCS tracking data on 10 August 2016 over the Asian monsoon region. <bold>(a)</bold> Brightness temperature [K] highlighting cold cloud tops associated with deep convection, <bold>(b)</bold> GPM IMERG precipitation [mm h<sup>−1</sup>] filtered by the pixel-level MCS mask, showing intense rainfall embedded within organized convective systems, <bold>(c)</bold> Cloud-type classification used by PyFLEXTRKR, distinguishing convective core (blue), cold anvil (red), and warm anvil (green) regions, and <bold>(d)</bold> Cloud-track ID assigned by the tracking algorithm, illustrating the spatial extent and segmentation of individual MCSs.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>MCS Track Statistics</title>
      <p id="d2e898">In addition to spatial fields, the PyFLEXTRKR database contains statistics on the structure and evolution of each MCS during its lifetime. For the unique identifier of each tracked system, properties are temporally aggregated to capture the convective lifecycle. The dataset includes lifecycle descriptors (e.g., duration of MCS, start and end epoch time of each track), cloud properties (e.g., area of cold cloud core, area of CCS, minimum Tb in core and cold anvil area), precipitation characteristics (e.g., PF area under CCS, mean and maximum precipitation rate of each PF) and kinematic attributes (e.g., movement speed, movement direction, and centroid position). Additional metrics, such as the size of the cold cloud shield (Tb <inline-formula><mml:math id="M70" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 241 K) and the evolution of cloud-top temperature and accumulated precipitation, are recorded at hourly intervals.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Analysis Period and Precipitation Efficiency Calculation</title>
      <p id="d2e917">To calculate MCS <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, we first download PyFLEXTRKR data over the Asian monsoon domain (55°–115° E, 5° S–40° N) from 10 August to 10 September 2016, coinciding with the frequent organized convection during monsoon season <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx40" id="paren.31"><named-content content-type="pre">e.g.,</named-content></xref>. This period also corresponds to the DYAMOND Phase I period, so that model evaluation of MCS <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> could be performed in a subsequent study. A total of 1321 MCSs were identified from the PyFLEXTRKR database for this period, providing a large sample of monsoonal MCSs. While this period provides a large sample of MCSs, it represents only a single monsoon season and therefore does not capture the full range of interannual variability due, for example, to the El Niño Southern Oscillation (ENSO). Future work could extend the analysis to multiple years spanning different ENSO phases to assess the representativeness of <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> characteristics reported here.</p>
      <p id="d2e946">To compute <inline-formula><mml:math id="M74" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, we collocated ERA5 LWP and IWP with both pixel-level precipitation fields and the track-level MCS statistics from PyFLEXTRKR. We calculate <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, following <xref ref-type="bibr" rid="bib1.bibx28" id="text.32"/>:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M76" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover><mml:mo>&gt;</mml:mo></mml:mrow><mml:mrow><mml:mo>&lt;</mml:mo><mml:mi mathvariant="normal">CWP</mml:mi><mml:mo>&gt;</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="false"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>[</mml:mo><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">2</mml:mn></mml:mrow></mml:msup><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:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><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">2</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M77" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> is the IMERG surface precipitation rate, CWP is the ERA5 cloud condensate, and the brackets indicate time-averaging. <inline-formula><mml:math id="M78" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is thus calculated from the ratio of time-averaged fields for spatial maps and statistical distributions. For the MCS lifecycle analysis, we also calculate <inline-formula><mml:math id="M79" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> at each MCS time step using instantaneous values of <inline-formula><mml:math id="M80" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> and CWP, which we then composite on a normalized lifecycle. Along with <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> evaluated with CWP, we also separate values into an ice-partitioned precipitation efficiency, <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using IWP and a liquid-partitioned precipitation efficiency, <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using LWP. We highlight that these <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values represent the <inline-formula><mml:math id="M85" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> produced per unit condensate, rather than an intrinsic microphysical conversion efficiency of ice-to-rain or liquid-to-rain processes. Comparing <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> therefore indicates whether precipitation production is more strongly associated with the depletion of the ice or liquid condensate reservoir. Because CWP is the sum of LWP and IWP, the <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics satisfy harmonic combination:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M89" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>MCS versus non-MCS precipitation efficiency across the Asian monsoon area</title>
      <p id="d2e1211">We first construct the statistical distribution of <inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and its phase-partitioned values across MCS tracks (Fig. <xref ref-type="fig" rid="F2"/>). When averaged over the MCS tracks, <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has the lowest median value of 11.8 h<sup>−1</sup>, whereas <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> have median values approximately twice as large (Fig. <xref ref-type="fig" rid="F2"/>a–c). Because the <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics represent <inline-formula><mml:math id="M96" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> normalized by condensate amounts, rather than direct ice-to-rain or liquid-to-rain conversion rates, we always expect <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to exceed <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as IWP or LWP are always smaller than or equal to CWP. As expected, the <inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> distributions shift rightward for maximum values over the MCS lifecycle – with medians increasing to 31.8 h<sup>−1</sup> for <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, 40.1 h<sup>−1</sup> for <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and 43.8 h<sup>−1</sup> for <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>d–f). These distributions of lifetime-maximum <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> are also more positively skewed than those of the lifetime-mean: A very small number of MCSs produce very high precipitation efficiencies during their lifecycle, analogous to the right-skewness commonly observed in precipitation rate distributions.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1410">Lifetime-maximum <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is more right-skewed than lifetime-mean values. Probability density functions (PDFs) of <inline-formula><mml:math id="M109" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across MCSs over the Asian monsoon region. Panels <bold>(a–c)</bold> shows the distributions of <inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> averaged over each MCS lifetime, while panels <bold>(d–f)</bold> show the distributions of the lifetime-maximum <inline-formula><mml:math id="M111" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. The three columns correspond to <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Dashed vertical lines indicate median values.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f02.png"/>

        </fig>

      <p id="d2e1487">We then compare the spatial distribution of <inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> for MCS versus non-MCS precipitation (Fig. <xref ref-type="fig" rid="F3"/>). Most grid cells across our domain have a sample size of hundreds of observed MCSs, lending robustness to our spatial patterns (Fig. S1 in the Supplement). We quantify spatial differences with <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula>, defined as the difference in MCS versus non-MCS <inline-formula><mml:math id="M117" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. The ratio of MCS to non-MCS <inline-formula><mml:math id="M118" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> could also be informative but becomes very large if non-MCS <inline-formula><mml:math id="M119" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is small and may therefore overemphasize certain regions. Across the region and for both overall and phase-partitioned <inline-formula><mml:math id="M120" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, MCSs have values approximately 50 % higher than those of non-MCS convection, with the strongest contrasts occurring over the Bay of Bengal, the Indo-Gangetic Plain, and the South China Sea. The MCS <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> locally exceeds 6 h<sup>−1</sup>, while that of non-MCS convection typically remains below 3 h<sup>−1</sup> (Fig. <xref ref-type="fig" rid="F3"/>a and d); these values correspond to condensate lifetimes of approximately 10 and 20 min, respectively. The spatial distribution of <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> further reveals widespread positive differences greater than 1 h<sup>−1</sup>, extending from the equatorial Indian Ocean through the Bay of Bengal into the South China Sea (Fig. <xref ref-type="fig" rid="F3"/>g). In these areas, MCSs convert condensate to precipitation two to three times more efficiently than non-MCS convection. Stated another way, MCS cloud condensate is typically converted into surface precipitation within approximately 10 min to one hour, whereas non-MCS condensate may require two to four hours for conversion. This reduction in condensate conversion time within MCSs reflects their accelerated microphysical processing, driven by ascent within their protected updrafts. An exception is a region of low <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> east of Sri Lanka, evident in both the MCS and non-MCS fields (Figs. <xref ref-type="fig" rid="F3"/> and 5). Because this feature occurs for both MCS and non-MCS <inline-formula><mml:math id="M127" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, it likely reflects environmental conditions, rather than anything microphysical.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1622">MCSs exhibit much higher <inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> with mean values 50 % greater than for non-MCS convection across all phases. Spatial distribution of <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics over the Asian monsoon region for MCSs and non-MCS convection. The top row <bold>(a–c)</bold> shows MCS <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> based on overall cloud water path (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), ice water path (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and liquid water path (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The middle row <bold>(d–f)</bold> presents the corresponding non-MCS precipitation efficiencies, while the bottom row <bold>(g–i)</bold> shows the MCS-non MCS differences (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula> = <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">MCS</mml:mi></mml:msup><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi mathvariant="normal">non</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">MCS</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). </p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1730"><inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> tends to increase from west to east and from north to south across our domain, especially in the ice phase. Longitudinal (left column) and latitudinal (right column) variability of <inline-formula><mml:math id="M137" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> over the Asian monsoon region for Mesoscale Convective Systems (MCS; blue) and Non-MCS (orange). Rows show <bold>(a–b)</bold> total precipitation efficiency based on column water path, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(c–d)</bold> ice-phase efficiency, <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(e–f)</bold> liquid-phase efficiency, <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Solid lines denote the median <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> within longitude or latitude bins, while shaded envelopes indicate the interquartile range (IQR; 25th–75th percentiles), representing the spread of grid-cell values within each bin. The dashed black line (right axis) shows the mean orography within each longitude or latitude bin, providing geographical context for interpreting the influence of major topographic features on the spatial variability of <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1811">Similar spatial patterns across two independent <inline-formula><mml:math id="M143" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> formulations provides confidence in the robustness of our results. Spatial distribution of <inline-formula><mml:math id="M144" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> over the Asian monsoon region. <bold>(a)</bold> <xref ref-type="bibr" rid="bib1.bibx28" id="text.33"/> <inline-formula><mml:math id="M145" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> formulation, expressed as an index (h<sup>−1</sup>), and <bold>(b)</bold> <xref ref-type="bibr" rid="bib1.bibx27" id="text.34"/> PE formulation, expressed as a dimensionless fraction bounded between 0 and 1. A statistically significant Spearman rank correlation (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) indicates strong spatial similarity between the two formulations.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f05.png"/>

        </fig>

      <p id="d2e1890">To further elucidate which processes generate <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula>, we also examine the phase-partitioned efficiencies. <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is two- to four-fold larger than <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for most MCSs, reflecting that <inline-formula><mml:math id="M152" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> is associated with comparatively smaller amounts of ice condensate or shorter ice condensate lifetimes (Fig. <xref ref-type="fig" rid="F3"/>b and c). The enhanced <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> along eastern coastal regions, including areas bordering the Bay of Bengal, South China Sea, and Maritime Continent may reflect the combined influence of abundant moisture supply, frequent deep convection, and efficient mixed-phase precipitation processes. The humid maritime environment likely suppresses sub-cloud evaporation, allowing a greater fraction of precipitation generated per unit IWP, thereby contributing to elevated <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The same increase of <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> relative to <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> characterizes non-MCSs. The corresponding non-MCS <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are substantially smaller, approximately 50 % lower than the MCS equivalents across the domain. Area-weighted mean enhancements over our domain show larger MCS–non MCS contrasts for <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than for <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: The domain mean <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is 1.4 h<sup>−1</sup> versus 1.1 h<sup>−1</sup> for <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The spatial coverage of <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula> greater than 0.5 h<sup>−1</sup> is also 60 % for the ice phase and only 52 % for the liquid phase (Fig. S2). Looking at these phase-partitioned MCS-non MCS differences statistically, across all metrics high <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> greater than 6 h<sup>−1</sup> occurs much more frequently in MCSs and particularly for the ice-phase component (Fig. S3).</p>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Dependence on longitude and latitude</title>
      <p id="d2e2126">While the spatial maps highlight regions of larger and smaller MCS <inline-formula><mml:math id="M169" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, they do not fully reveal how these efficiencies evolve over the west–east monsoon moisture gradient or the north–south land–ocean contrasts. A large-scale west-to-east increase in atmospheric moisture characterizes the Asian summer monsoon area, with drier conditions over the Arabian Sea and higher moisture over the Bay of Bengal, South China Sea, and Maritime Continent. This gradient arises from the transport of warm, moisture-rich air by the summer monsoon circulation and provides a favorable environment for progressively deeper convection toward the eastern part of the domain <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx54 bib1.bibx8 bib1.bibx56 bib1.bibx49" id="paren.35"/>. The strength and position of the moisture gradient vary on synoptic and intraseasonal timescales, but over the one-month period of our study, the gradient remains a persistent feature.</p>
      <p id="d2e2139">To characterize the effect of these variations on the <inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics, we evaluate their longitudinal and latitudinal dependences. For each degree longitude, <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values represent all grid cells located along that longitude, i.e., “60° E” includes all grid cells along 60° E across the domain latitudes. The same approach is applied for degrees latitude. We again confirm robust MCS sample sizes across our longitudinal and latitudinal range, with <inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="script">O</mml:mi></mml:math></inline-formula>(10<sup>6</sup>) occurrences per degree (Fig. S4). Longitudinally, the median <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases from 0.2 h<sup>−1</sup> over the western Arabian Sea to 1.8 h<sup>−1</sup> over the Bay of Bengal (Fig. <xref ref-type="fig" rid="F4"/>a). A similar eastward increase is evident for non-MCS convection, although with consistently lower values. This increase is consistent with progressively greater atmospheric moisture availability, warmer sea surface temperatures, enhanced deep convection, and more frequent MCS activity toward the eastern monsoon region. The phase-partitioned metrics show that <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibits the strongest longitudinal variability (Fig. <xref ref-type="fig" rid="F4"/>c), whereas <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> displays a weaker but similar eastward increase (Fig. <xref ref-type="fig" rid="F4"/>e). Local departures from the overall eastward trend coincide with major mountain ranges, suggesting that topography further modulates precipitation efficiency through orographic lifting and condensate retention.</p>
      <p id="d2e2237">Latitudinally, <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> generally decreases from the equatorial region toward higher latitudes, consistent with reductions in atmospheric moisture and deep convective activity away from the tropical monsoon belt (Fig. <xref ref-type="fig" rid="F4"/>b). A secondary maximum between 15° N and 25° N coincides with the monsoon rainband and regions strongly influenced by orography, including the Western Ghats and the southern margins of the Tibetan Plateau. <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shows the largest land–ocean contrast, whereas <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> follows a similar but more gradual meridional decrease. Across all latitude and longitude bins, MCSs consistently exhibit higher <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> than non-MCS convection, with the largest differences occurring for the ice-phase component.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Dependence on precipitation efficiency metric</title>
      <p id="d2e2291">Before discussing how <inline-formula><mml:math id="M183" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics change with MCS characteristics, we close this section by examining sensitivity of our spatial results to the definition of <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. In Fig. <xref ref-type="fig" rid="F5"/>, we present maps of precipitation efficiency using an alternate definition recently developed by <xref ref-type="bibr" rid="bib1.bibx26" id="text.36"/> in which efficiency is defined as the ratio of surface precipitation to the sum of surface precipitation and the positive tendency of IWP, such that only periods of ice condensate growth are considered:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M185" display="block"><mml:mrow><mml:mi mathvariant="normal">PE</mml:mi><mml:mo>≅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msub><mml:mfenced close="|" open=""><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">IWP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>[</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msub><mml:mfenced open="" close="|"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">IWP</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represents the positive tendency of IWP, accounting only for cloud ice growth because loss processes such as melting, sublimation, and advection were found to be partially offset by concurrent source terms within the bulk budget <xref ref-type="bibr" rid="bib1.bibx26" id="paren.37"/>. The latter term is an approximation of the condensation rate and therefore PE is dimensionless. IWP is used from the CCIC retrieval (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>), offering a more observation-based estimate than reanalysis products, where condensate fields depend on microphysical and convective parameterizations. A limitation of this approach is that only the ice phase is considered, implicitly assuming that ice processes dominate precipitation production in deep convective systems. While this formulation differs from <xref ref-type="bibr" rid="bib1.bibx28" id="text.38"/> in that it defines a dimensionless precipitation efficiency (PE) by relating surface <inline-formula><mml:math id="M187" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> to derived condensation rates, we can nevertheless compare the spatial patterns from both approaches to assess whether the metrics capture the same dominant spatial patterns of condensate-to-precipitation conversion. We do not compute both MCS and non-MCS efficiencies in this comparison.</p>
      <p id="d2e2407">Despite differences in datasets and physical formulation between <xref ref-type="bibr" rid="bib1.bibx28" id="text.39"/> and <xref ref-type="bibr" rid="bib1.bibx27" id="text.40"/>, the large-scale spatial distributions of <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> are quite similar across the Asian monsoon region (Spearman rank correlation – <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≪</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Similar features, including elevated efficiencies over the Bay of Bengal and Himalayan foothills and reduced efficiencies near the southern tip of India, appear across both definitions. One notable difference occurs over the Arabian Sea, where the <xref ref-type="bibr" rid="bib1.bibx28" id="text.41"/> formulation exhibits a more pronounced region of high <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> than the <xref ref-type="bibr" rid="bib1.bibx27" id="text.42"/> definition. This discrepancy likely reflects the inclusion of the condensate tendency term, <inline-formula><mml:math id="M192" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi>d</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">IWP</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula>, in the <xref ref-type="bibr" rid="bib1.bibx27" id="text.43"/> formulation, which reduces PE in regions where condensate is simultaneously accumulating and precipitating. This agreement supports the robustness of our spatial analysis and lends confidence to the use of the <xref ref-type="bibr" rid="bib1.bibx28" id="text.44"/> <inline-formula><mml:math id="M193" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> definition in this study.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Precipitation efficiency across MCS regions</title>
      <p id="d2e2509">Having established the geographic characteristics of MCS versus non-MCS <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, we next investigate how <inline-formula><mml:math id="M195" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is distributed across regions of the MCS – core, warm anvil, and cold anvil – and across MCSs of different structure. As outlined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2.SSS1"/>, the core has coldest Tb <inline-formula><mml:math id="M196" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 225 K, followed by the cold anvil with warmer Tb between 225 and 241 K and then the the warm anvil with Tb between 241 and 261 K. Together, these thresholds separate intense convective updrafts from layered anvil outflow in MCSs.</p>
      <p id="d2e2535">Warm anvils occur in 94.1 % of the MCS tracks represented in the cloud-type dataset but occupy only 1.67 % of the total classified MCS cloud area, compared to 53.06 % for cold anvils and 45.27 % for convective cores. Their median contribution at the individual-track level is 1.46 % (interquartile range: 0.74 %–2.61 %). The warm-anvil fraction in the snapshot in Fig. <xref ref-type="fig" rid="F1"/>c is 1.82 %, close to the value of the entire period, indicating that the snapshot is typical of the study period. Thus, warm anvils occur in most MCSs but generally cover only a small portion of their tracked cloud shields. This limited coverage partly reflects the tracking framework, which includes only warm-cloud pixels associated with identified MCS objects; a thin or semitransparent cirrus outside the tracked cloud shield is not included. However, the warm-anvil <inline-formula><mml:math id="M197" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> distributions are based on 248 703 pixel-time observations, and the bootstrap confidence intervals in Table <xref ref-type="table" rid="T1"/> indicate that the aggregate estimates are well constrained. However, because warm anvils are less extensively sampled than cold anvils and convective cores, their <inline-formula><mml:math id="M198" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> results should be interpreted more cautiously.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e2559">Median values and 95 % bootstrap confidence interval (CI) of MCS <inline-formula><mml:math id="M199" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics, stratified by MCS region (core, cold anvil, and warm anvil) and ice versus liquid phase. The corresponding condensate residence time is shown in minutes.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="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">Metric</oasis:entry>
         <oasis:entry colname="col2">MCS morphology</oasis:entry>
         <oasis:entry colname="col3">Median values [<inline-formula><mml:math id="M200" display="inline"><mml:mrow><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>]</oasis:entry>
         <oasis:entry colname="col4">Residence time [min]</oasis:entry>
         <oasis:entry colname="col5">CI (low,  high) [<inline-formula><mml:math id="M201" display="inline"><mml:mrow><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>]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Core</oasis:entry>
         <oasis:entry colname="col3">8.4</oasis:entry>
         <oasis:entry colname="col4">7.1</oasis:entry>
         <oasis:entry colname="col5">8.337, 8.379</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cold Anvil</oasis:entry>
         <oasis:entry colname="col3">3.2</oasis:entry>
         <oasis:entry colname="col4">18.7</oasis:entry>
         <oasis:entry colname="col5">3.228, 3.246</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Warm Anvil</oasis:entry>
         <oasis:entry colname="col3">1.9</oasis:entry>
         <oasis:entry colname="col4">31.5</oasis:entry>
         <oasis:entry colname="col5">1.989, 1.999</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Core</oasis:entry>
         <oasis:entry colname="col3">16.4</oasis:entry>
         <oasis:entry colname="col4">3.6</oasis:entry>
         <oasis:entry colname="col5">16.390, 16.493</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cold Anvil</oasis:entry>
         <oasis:entry colname="col3">6.9</oasis:entry>
         <oasis:entry colname="col4">8.6</oasis:entry>
         <oasis:entry colname="col5">6.945, 6.995</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Warm Anvil</oasis:entry>
         <oasis:entry colname="col3">5.0</oasis:entry>
         <oasis:entry colname="col4">12.0</oasis:entry>
         <oasis:entry colname="col5">4.995, 5.026</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">Core</oasis:entry>
         <oasis:entry colname="col3">18.5</oasis:entry>
         <oasis:entry colname="col4">3.2</oasis:entry>
         <oasis:entry colname="col5">18.499, 18.603</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Cold Anvil</oasis:entry>
         <oasis:entry colname="col3">6.4</oasis:entry>
         <oasis:entry colname="col4">9.4</oasis:entry>
         <oasis:entry colname="col5">6.420, 6.461</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Warm Anvil</oasis:entry>
         <oasis:entry colname="col3">3.4</oasis:entry>
         <oasis:entry colname="col4">17.6</oasis:entry>
         <oasis:entry colname="col5">3.461, 3.483</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e2822">We begin by examining <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> across the three MCS regions. Across all regions, <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ranges from 0.1 up to 100 h<sup>−1</sup>, with the core dominating the high-efficiency tail of the distribution (Fig. <xref ref-type="fig" rid="F6"/>a). These <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values correspond to a spread in condensate conversion timescale from only a few minutes (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mo>≥</mml:mo></mml:math></inline-formula> 10 h<sup>−1</sup>) up to <inline-formula><mml:math id="M212" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 h. The lower <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values within the warm and cold anvil regions are reflected in median values of 3.2 and 1.9 h<sup>−1</sup>, respectively, compared to 8.4 h<sup>−1</sup> in the core (Table <xref ref-type="table" rid="T1"/>), indicating that anvil efficiencies are approximately 60 %–80 % smaller than core values. Stated in terms of residence time, condensate stays within the anvil three to ten times longer than within the core. This behavior is consistent with strong updrafts, rapid condensate production, and highly efficient ice–liquid conversion within the core of convective towers and weaker ascent and reduced condensate production in the stratiform outflow regions.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2951">The core consistently has the highest <inline-formula><mml:math id="M216" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values, followed by the cold and then warm anvils, reflecting the transition from deep convective to stratiform and non-precipitating cloud. Probability distributions of <inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across MCS morphologies, defined by Tb thresholds in the FLEXTRKR data. Panels <bold>(a–c)</bold> show distributions of <inline-formula><mml:math id="M218" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> for the convective core (blue), cold anvil (red), and warm anvil (green) regions, computed for <bold>(a)</bold> overall precipitation efficiency (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), <bold>(b)</bold> ice-phase efficiency (<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and <bold>(c)</bold> liquid-phase efficiency (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Panels <bold>(d–f)</bold> regroup the distributions by MCS region to compare total and phase-partitioned <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> within each sector: <bold>(d)</bold> for the core, <bold>(e)</bold> for the cold anvil, and <bold>(f)</bold> for the warm anvil. In panels <bold>(d–f)</bold>, solid lines denote <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, dashed lines denote ice-phase efficiency (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and dotted lines denote liquid-phase efficiency (<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). </p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f06.png"/>

        </fig>

      <p id="d2e3084">We next phase-partition <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, both to understand whether the core-cold anvil-warm anvil hierarchy exists in the other <inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics and to determine which phase drives the <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> differences across MCS morphologies. The core region still contains the highest <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; however, the separation in <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for cold versus warm anvil is less than the separation in <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for those regions. The ice-partitioned precipitation efficiency values shift upward by 30 % to 50 % relative to <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as established in the previous section. The median of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reaches 16.4 h<sup>−1</sup>, decreasing to 6.9 h<sup>−1</sup> in the cold anvil and 5.0 h<sup>−1</sup> in the warm anvil. The difference of <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> across anvil types is mainly determined by the contribution of <inline-formula><mml:math id="M239" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> from the liquid phase. This is consistent with recent modeling study showing that warm-rain and ice-phase pathways coexist in deep convection, and that their relative contributions to precipitation depend on the efficiency of condensate-to-precipitation conversion processes (e.g., autoconversion, riming, aggregation), rather than cloud depth alone <xref ref-type="bibr" rid="bib1.bibx15" id="paren.45"/>. Taken together, these distributions of <inline-formula><mml:math id="M240" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across MCS morphologies show that the convective core generates precipitation about four times more efficiently than the warm anvil and two times more efficiently than the cold anvil, with the liquid phase determining much of the <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> differences across the warm and cold anvil regions.</p>
      <p id="d2e3247">To understand the difference in warm versus cold anvil <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, we visualize the distributions of <inline-formula><mml:math id="M243" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> versus CWP across the MCS morphologies (Fig. S5). When min-max normalizing both <inline-formula><mml:math id="M244" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> and CWP, there is greater overlap between these distributions in the warm anvil region than in the cold anvil region. In other words, the difference between condensate amounts aloft and sedimenting is more pronounced in the cold anvil than the warm anvil. Physically, warm anvils are typically characterized by weak vertical velocities, small droplet and ice crystal sizes, and limited microphysical growth via riming, aggregation, or collision–coalescence. Consequently, condensate within warm anvils is predominantly retained in non-precipitating form, resulting in inefficient rainfall production. In contrast, cold anvils, although located at higher altitudes, remain more directly connected to active convective regions and contain recently detrained ice condensate that is still influenced by ongoing ice-phase growth processes (e.g., aggregation, riming, and depositional growth). Cold anvils therefore favor more efficient growth and aggregation of ice particles, leading to the formation of precipitation-sized hydrometeors that sediment through the melting layer and contribute to stratiform rainfall at the surface <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx20" id="paren.46"/>. By comparison, warm anvils generally represent older and more horizontally dispersed cloud outflow, where weaker vertical motions and longer condensate residence times promote condensate retention and sublimation rather than precipitation production <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx20" id="paren.47"/>. Consequently, a smaller fraction of condensate in the warm anvil is converted into surface precipitation, resulting in lower precipitation efficiency. The reduced <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the warm anvils therefore reflects microphysical inefficiency rather than longer residence times alone, highlighting that the large loading of condensate does not imply efficient precipitation production.</p>
      <p id="d2e3299">We lastly reorganize the <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> distributions by MCS sector to more clearly see the differences across condensate phase (Fig. <xref ref-type="fig" rid="F6"/>d–f). While <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> generally exhibits large values, the relative ordering of <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics is not consistent across MCS regions. Instead, the dominant efficiency shifts from liquid-phase processes in the core to ice-phase processes in the warm anvil, with substantial overlap among metrics in the cold anvil. Rather than indicating a universal hierarchy, these results show that no single microphysical process dominates precipitation production across all MCS regions. Instead, the slightly higher <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the convective core suggests shorter liquid condensate residence times there, while <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> becomes relatively more prominent in the warm-anvil region. The cold anvil exhibits substantial overlap among phase-partitioned efficiencies, consistent with mixed microphysical processes. Together, these patterns suggest that anvil regions, particularly the warm anvil, function primarily as reservoirs of condensate rather than regions of continuous precipitation production. This interpretation is supported by the relatively low <inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in the warm anvil, indicating longer condensate residence times and slower conversion of condensate to precipitation.</p>
<sec id="Ch1.S3.SS2.SSSx1" specific-use="unnumbered">
  <title>Dependence on MCS extent and depth</title>
      <p id="d2e3365">Next, we investigate how <inline-formula><mml:math id="M252" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> changes with MCS morphology, in particular with the extent and depth of the MCS. MCS area refers to the contiguous cold cloud cover in PyFLEXTRKR (see Sect. 2.2.1). MCS depth is defined as the vertical extent of the cloud system, inferred from the minimum infrared Tb associated with the convective core and stratiform regions, with colder cloud-top temperatures indicating deeper convection. We examine the scaling relationships between <inline-formula><mml:math id="M253" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and MCS area and depth as a function of lifetime mean and maximum rain rates. These scalings include all stages of systems that eventually satisfy the MCS criteria; MCS areas smaller than the threshold therefore correspond to convective growth prior to attaining MCS status (Fig. <xref ref-type="fig" rid="F7"/>). All <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics increase with MCS area for areas less than <inline-formula><mml:math id="M255" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 24 km<sup>2</sup> (Fig. <xref ref-type="fig" rid="F7"/>). All three efficiency metrics exhibit statistically significant, strong positive correlations between the mean <inline-formula><mml:math id="M257" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> and MCS area in this range, with <inline-formula><mml:math id="M258" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> values of 0.98 across the metrics (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F7"/>a, Table S1). Among the phase-partitioned <inline-formula><mml:math id="M260" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics, <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases most rapidly with area, reaching a peak value of 30 h<sup>−1</sup> for an MCS area of 24 km<sup>2</sup> before decreasing for the largest areas. <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases more slowly with MCS area before plateauing at a value of 20 h<sup>−1</sup> for the largest systems. As a combination of the ice- and liquid-phase scalings, <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> also increases with MCS area up to a threshold beyond which it declines slightly. This threshold area of 24 km<sup>2</sup> corresponds to an MCS effective diameter of 160 km. The non-monotonic behavior of the <inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>–area scalings, most pronounced for <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, likely reflecting a disproportionate increase in system-integrated IWP relative to <inline-formula><mml:math id="M270" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> at the largest MCS sizes, such that the accumulation and storage of condensate in extensive stratiform and anvil regions outpaces the corresponding increase in <inline-formula><mml:math id="M271" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3571">For both mean and maximum rain rates, <inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> increases with MCS size for areas less than 24 km<sup>2</sup>. Scalings of the <inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics versus  MCS area for <bold>(a)</bold> lifetime mean rain rate and <bold>(b)</bold> lifetime maximum rain rate. The MCS area shown represents the full tracked evolution of PyFLEXTRKR systems, including stages before they satisfy the MCS identification criteria (minimum precipitation-feature area of 44 km<sup>2</sup>). Consequently, areas smaller than 44 km<sup>2</sup> correspond to the developing stages of systems that subsequently evolve into MCSs. Curves show the total precipitation efficiency (<inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, purple), liquid-phase efficiency (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, yellow), and ice-phase efficiency (<inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, cyan). Dashed lines indicate log–linear fits to the <inline-formula><mml:math id="M280" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>–area relationship, computed only for MCS areas smaller than <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> km<sup>2</sup>. Shading indicates the 95 % bootstrap confidence interval on the binned median <inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics within each MCS-area bin.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f07.png"/>

          </fig>

      <p id="d2e3700">Scalings of the lifetime maximum <inline-formula><mml:math id="M284" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> against MCS area also increase up to a threshold area but with weaker log-linear correlations (Fig. <xref ref-type="fig" rid="F7"/>b). Correlation coefficients are now 0.95 across the three epsilon metrics but still with statistical significance (<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). In contrast to the mean <inline-formula><mml:math id="M286" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> scalings, there is no decrease in <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> beyond a certain MCS area. <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> continues to increase for the largest MCS extents and becomes comparable to or exceeds <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, indicating that large systems achieve high peak rain rates through both ice and liquid-phase processes. These scalings demonstrate that MCS area strongly controls <inline-formula><mml:math id="M290" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, with larger MCSs more efficiently converting cloud condensate into precipitation but only up to a certain point.</p>
      <p id="d2e3788">We next examine the sensitivity of the <inline-formula><mml:math id="M291" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics to the MCS depth across mean and max rain rates (Fig. <xref ref-type="fig" rid="F8"/>). <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increase systematically with decreasing Tb, which corresponds to increasing MCS depth. In other words, deeper MCSs more efficiently convert cloud condensate into surface precipitation. The correlation coefficient for these scalings reaches <inline-formula><mml:math id="M295" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.97 across all <inline-formula><mml:math id="M296" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics with greater than 99 % statistical significance, indicating that more than 95<inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> of the variance in <inline-formula><mml:math id="M298" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> can be explained by variations in the MCS cloud-top temperature (Table S2). <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increases by more than 150 % between the warmest and coldest Tb (Fig. <xref ref-type="fig" rid="F8"/>a). <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> also doubles across the Tb range. As for extent, we also scale the maximum <inline-formula><mml:math id="M301" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> against MCS depth. The correlation between the <inline-formula><mml:math id="M302" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics and Tb remains quite robust with statistically significant coefficients of <inline-formula><mml:math id="M303" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.99 (<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). These near-perfect correlations indicate that the intensity of the maximum rainfall is tightly coupled with the vertical development of the MCSs. <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is consistently most sensitive to Tb; however, there is no decrease in <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for the deepest MCSs as there was for the largest MCSs. Unlike the <inline-formula><mml:math id="M307" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>–area scalings, <inline-formula><mml:math id="M308" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics does not show the non-monotonic behavior with increasing MCS depth. Increases in <inline-formula><mml:math id="M309" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics with depth primarily reflect dynamical intensification (e.g., stronger updrafts driven by larger CAPE or reduced entrainment) rather than a requisite increase in total condensate. Because deeper systems do not necessarily accumulate condensate aloft, the <inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics do not decrease at the largest depths. The contrast between these scalings highlights distinct controls on <inline-formula><mml:math id="M311" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics associated with horizontal versus vertical MCS growth.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3992">For both mean and maximum rain rates, <inline-formula><mml:math id="M312" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> increases as brightness temperature decreases, indicating that deeper convection more effectively converts condensate to rainfall. Scalings of the <inline-formula><mml:math id="M313" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics versus cloud-top brightness temperature for <bold>(a)</bold> lifetime mean rain rate and <bold>(b)</bold> lifetime maximum rain rate. Curves show the total efficiency (<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, purple), liquid-phase efficiency (<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, yellow), and ice-phase efficiency (<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, cyan). Dashed lines indicate log–linear fits to the <inline-formula><mml:math id="M317" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>–depth relationship, and shading indicates the 95 % bootstrap confidence interval on the binned median <inline-formula><mml:math id="M318" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics within each Tb bin.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f08.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Precipitation efficiency over the MCS lifecycle</title>
      <p id="d2e4078">We next look at the evolution of <inline-formula><mml:math id="M319" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics over the MCS lifecycle. The MCS lifecycle is normalized by rescaling the system lifetimes to a common 0–1 interval, where 0 and 1 correspond to initiation and dissipation according to the FLEXTRKR tracking, respectively. We first use this normalized lifecycle to understand changes in MCS area, Tb, and <inline-formula><mml:math id="M320" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> (Fig. S6). While mean and maximum <inline-formula><mml:math id="M321" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> peak about 25 % and 35 % of the way through the lifecycle, respectively, minimum Tb occurs about 42 % and maximum extent at about 58 % of the lifecycle. From these properties, systems are mature in the middle third of their normalized lifecycle (0.3–0.6), when convection is deepest and system extent is largest. All three <inline-formula><mml:math id="M322" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics show a lifecycle dependence with rapid increases during the early growth stage and more gradual decreases during development and dissipation (Fig. <xref ref-type="fig" rid="F9"/>). Increases in <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics occur within the first 20 % of the lifecycle, while the decreases occur over the remaining 80 % during the decay-phase behavior of condensate production. This evolution closely resembles the MCS <inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> lifecycle reported by <xref ref-type="bibr" rid="bib1.bibx27" id="text.48"/> (their Fig. 4b), who found increasing efficiency from initiation to maturity followed by decreasing efficiency from maturity through decay in kilometer-scale simulations and satellite-based estimates. In our observations, peak <inline-formula><mml:math id="M325" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> occurs slightly earlier in the normalized lifecycle than in <xref ref-type="bibr" rid="bib1.bibx27" id="text.49"/>. As noted above, mean and maximum <inline-formula><mml:math id="M326" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> peak early in the lifecycle, while minimum cloud-top temperatures and maximum system area peak later. <inline-formula><mml:math id="M327" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> thus reaches its highest values at the same time as <inline-formula><mml:math id="M328" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>, rather than at the same time as system depth or extent.</p>
      <p id="d2e4173">Phase partitioning further refines this evaluation over the lifecycle. The high values of <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> throughout most of the lifecycle align with a central role for ice-phase growth and sedimentation in sustaining efficient rainfall during mature MCS stages. Apart from the hierarchy of magnitudes, the lifecycle behavior of <inline-formula><mml:math id="M330" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is quite consistent across all metrics, indicating that phase partitioning plays a secondary role in controlling variations of <inline-formula><mml:math id="M331" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> over the lifecycle. We also refine the <inline-formula><mml:math id="M332" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values over lifecycle for short (4–8 h), medium (8–12 h), and long-lived (<inline-formula><mml:math id="M333" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 12 h) systems (Fig. S7). These lifetime classes were selected to represent distinct stages of MCS longevity while ensuring sufficient numbers of systems within each category for robust composite statistics. For each system, the lifecycle was normalized from initiation to dissipation, interpolated onto a common set of normalized lifecycle bins, and then composited within each lifetime class (Fig. S7). The normalized lifecycle of <inline-formula><mml:math id="M334" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is qualitatively similar across all lifetime classes, with elevated values during development and maturation followed by decline during dissipation. The lifecycle behavior discussed above should therefore be robust across MCSs with different absolute lifetime.</p>
      <p id="d2e4223">This evolution of <inline-formula><mml:math id="M335" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> over the lifecycle is consistent with our scalings in the previous section, as MCS growth and maturation are characterized by expanding system coverage and progressively colder cloud tops, both of which are associated with enhanced <inline-formula><mml:math id="M336" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. In contrast, the late-stage decline in all efficiency metrics coincides with a shrinking system area and a warming of the cloud tops, indicating reduced vertical depth, weaker dynamical organization, and diminished microphysical conversion efficiency. Of course, evolution of <inline-formula><mml:math id="M337" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> is not tied solely to area. While our lifecycle analyses follow temporal evolution of systems, the scalings between <inline-formula><mml:math id="M338" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and MCS area are statistical relationships, and smaller systems may occur either during growth or dissipation. Together, these results demonstrate that the observed lifecycle modulation of <inline-formula><mml:math id="M339" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> reflects the coupled evolution of storm size, cloud-top height, and microphysics, with ice-phase processes playing a dominant role during periods of maximum system extent and minimum cloud-top temperature.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e4264">The <inline-formula><mml:math id="M340" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics peak within the first 20 % of MCS lifecycle. <inline-formula><mml:math id="M341" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics computed as a function of normalized MCS lifetime, where 0 indicates system initiation and 1 indicates system dissipation, for <bold>(a)</bold> <inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(c)</bold> <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Each curve represents the average <inline-formula><mml:math id="M345" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across all tracked MCSs, and shading represents the 95 % bootstrap confidence interval on the median <inline-formula><mml:math id="M346" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics across MCS tracks at each normalized lifecycle phase. Note that <inline-formula><mml:math id="M347" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis limits change between panels but have a consistent range of 25 h<sup>−1</sup>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/13157/2026/acp-26-13157-2026-f09.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e4373">Accurately representing precipitation associated with mesoscale convective systems (MCSs) remains a major challenge for climate models. Our recent evaluations of DYAMOND storm-resolving simulations against GPM IMERG observations over a South Asian domain show that the largest model–observation precipitation differences occur in regions dominated by frequent MCS activity, including the southern Indian Ocean and the Bay of Bengal <xref ref-type="bibr" rid="bib1.bibx35" id="paren.50"/>. In these regions, rainfall is primarily produced by organized deep convective systems in which surface precipitation (<inline-formula><mml:math id="M349" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>) is strongly regulated by storm morphology, lifecycle, and microphysical processes, meaning that modeled precipitation rates are particularly sensitive to deficiencies in MCS representation. Motivated by these findings, this study provides a comprehensive observational assessment of the efficiency of precipitation production (<inline-formula><mml:math id="M350" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>) in MCSs over the Asian Monsoon Region. We analyze PyFLEXTRKR MCS track statistics and pixel-level diagnostics in combination with ERA5 cloud condensate fields to characterize <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> of 1321 MCSs over the Asian monsoon region from 10 August to 10 September 2016 using the <xref ref-type="bibr" rid="bib1.bibx28" id="text.51"/> index, defined as the ratio of <inline-formula><mml:math id="M352" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> to CWP. We note that ERA5 condensate fields are derived from a data-assimilating forecast model and therefore depend on model microphysical parameterizations. As such, uncertainties in condensate partitioning and phase representation may influence <inline-formula><mml:math id="M353" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> estimates.</p>
      <p id="d2e4424">Our results show that for both overall efficiency (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">cwp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and ice and liquid phase-partitioned efficiencies (<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) MCSs convert cloud condensate into surface precipitation about 50 % more efficiently than non-MCS convection. Spatial distributions in the <inline-formula><mml:math id="M357" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics across the Asian monsoon region further indicate enhanced efficiency in moisture-rich, dynamically favorable environments and reduced efficiency in regions characterized by limited moisture supply, weaker convective organization, or continental interiors. Strong enhancements in MCS <inline-formula><mml:math id="M358" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> also occur along the Himalayan foothills. Phase-partitioned analyses reveal that <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> systematically exceeds <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="normal">ℓ</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in both MCS and non-MCS regimes and drives more of the MCS versus non-MCS differences. In contrast, lifecycle evolution in <inline-formula><mml:math id="M361" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> – characterized by a rapid increase during early growth and more gradual decreases during development and dissipation – is largely phase independent. The decline in <inline-formula><mml:math id="M362" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> during dissipation stages reflects continued condensate storage within stratiform and anvil regions while surface precipitation weakens.</p>
      <p id="d2e4511">Another key result of this study is the systematic variation of <inline-formula><mml:math id="M363" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> across MCS regions from the core to the cold and warm anvils. Decomposing <inline-formula><mml:math id="M364" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> by MCS region shows that the convective core consistently has the highest efficiency across all <inline-formula><mml:math id="M365" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> metrics, corresponding to short condensate residence times on the order of a few minutes, whereas warm anvils display the lowest efficiencies, with condensate retained for several hours before contributing to surface precipitation. Efficiency differences between cold and warm anvils are driven by differences in liquid-phase condensate more than by those in the ice phase. Scaling <inline-formula><mml:math id="M366" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> by MCS area and depth further clarifies the factors controlling rainfall production. The non-monotonic relationships between <inline-formula><mml:math id="M367" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and MCS area reflect the disproportionate growth of system-integrated ice condensate associated with anvil expansion in the largest systems, such that condensate accumulation outpaces increases in surface precipitation. In contrast, <inline-formula><mml:math id="M368" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> increases monotonically with MCS depth, consistent with depth increases being driven primarily by dynamical intensification (e.g., stronger updrafts or reduced entrainment) rather than excess condensate storage. This distinction highlights fundamentally different roles of horizontal and vertical storm growth in regulating <inline-formula><mml:math id="M369" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>.</p>
      <p id="d2e4564">Overall, our findings are consistent with previous studies discussed in the Introduction that emphasize the important role of convective organization, storm morphology, and microphysical processes in regulating <inline-formula><mml:math id="M370" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>. In particular, the enhanced <inline-formula><mml:math id="M371" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> of MCSs relative to non-MCS convection and the distinct behavior of convective cores and anvils are broadly consistent with previous observational studies of organized convection. Our results also corroborate the <inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> framework presented by <xref ref-type="bibr" rid="bib1.bibx27" id="text.52"/> for a different geographical region, suggesting that the links between convective organization, condensate partitioning, and <inline-formula><mml:math id="M373" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> are robust across diverse climatic environments.</p>
      <p id="d2e4599">Potential uncertainties should also be considered when interpreting our results. GPM IMERG <inline-formula><mml:math id="M374" display="inline"><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> estimates are known to exhibit regional biases, particularly over complex terrain and in areas with sparse ground-based observations, while ERA5 IWP and LWP are not directly observed but are inferred through data assimilation and model microphysical parameterizations constrained by satellite and conventional observations. These uncertainties may affect the magnitude of the estimated <inline-formula><mml:math id="M375" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> in some regions, particularly over the complex topography of the Asian monsoon domain. Nevertheless, because our analysis focuses on broad spatial patterns and relative differences between MCS and non-MCS convection using a consistent observational framework, we expect the principal conclusions to remain robust.</p>
      <p id="d2e4619">While this study focuses on the Asian monsoon region, we expect the qualitative contrast in <inline-formula><mml:math id="M376" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> between MCS and non-MCS convection to extend to other regions because organized convection generally develops in more humid environments that reduce entrainment and evaporative losses relative to isolated convection. However, the quantitative magnitude and spatial distribution of <inline-formula><mml:math id="M377" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> are likely to depend on regional environmental conditions, including moisture availability, large-scale circulation, and topographic influences that are particularly important over the Asian monsoon. The regional context of these spatial patterns is discussed in Sect. 3.1.1. Furthermore, although larger MCSs generally exhibit higher <inline-formula><mml:math id="M378" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, our results suggest that the observed contrast between MCS and non-MCS convection reflects storm organization and its associated dynamical and microphysical processes rather than system size alone.</p>
      <p id="d2e4643">Recent work indicates that estimates of storm frequency, size, and duration can vary substantially across tracking methodologies <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx14" id="paren.53"><named-content content-type="pre">e.g.,</named-content></xref>. It would be worthwhile to examine how our results change when using other MCS tracking datasets. As noted in the introduction, many definitions of <inline-formula><mml:math id="M379" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> exist. We have tested robustness of our spatial analyses to a different PE definition; however, other metrics using microphysical tendencies or moisture convergence could also be tested to compare MCS and non-MCS convection. An important next step is to apply the phase-specific <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> diagnostics developed here – including morphology-dependent <inline-formula><mml:math id="M381" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, condensate conversion time estimates, and phase-resolved condensate–precipitation relationships – to storm-resolving model output. This framework enables direct comparison between observed and simulated MCS <inline-formula><mml:math id="M382" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, allowing identification of biases in condensate partitioning, conversion rates, and their dependence on system morphology and lifecycle stage. Such a comparison would provide a rigorous benchmark to evaluate how high-resolution models reproduce the structural, microphysical, and lifecycle-dependent characteristics of MCS <inline-formula><mml:math id="M383" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> identified here. In addition, future studies should examine the diurnal and seasonal dependence of <inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, both for MCSs and non-MCS convection, as well as its sensitivity to large-scale environmental conditions, including moisture availability, vertical wind shear, and thermodynamic stability. Addressing these aspects will further clarify the physical controls in <inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and improve its utility as a diagnostic for model evaluation and climate applications.</p>
</sec>

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

      <p id="d2e4706">The GPM IMERG precipitation data are publicly available from the NASA Goddard Earth Sciences Data and Information Services Center (GES DISC; <uri>https://disc.gsfc.nasa.gov/datasets/GPM_3IMERGHH_07/summary</uri> (last access: 20 August 2025); <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.54"/>). The CCIC data set is described and validated by <xref ref-type="bibr" rid="bib1.bibx2" id="text.55"/> and <xref ref-type="bibr" rid="bib1.bibx41" id="text.56"/> and is publicly available through Amazon Web Services <xref ref-type="bibr" rid="bib1.bibx1" id="paren.57"/>. ERA5 reanalysis data are produced by the European Centre for Medium-Range Weather Forecasts (ECMWF) and can be accessed through the Copernicus Climate Data Store (CDS; <uri>https://cds.climate.copernicus.eu/datasets/reanalysis-era5-single-levels?tab=overview</uri> (last access: 30 August 2025); <xref ref-type="bibr" rid="bib1.bibx17" id="paren.58"/>). Mesoscale convective system (MCS) tracking in this study was performed using the PyFLEXTRKR tracking framework, and the resulting tracking outputs used in this analysis are available from Dr. Zhe Feng upon request. The processed data and code used to conduct the analysis and generate the figures in this study are publicly available from <xref ref-type="bibr" rid="bib1.bibx36" id="text.59"/> at <ext-link xlink:href="https://doi.org/10.5281/zenodo.19350427" ext-link-type="DOI">10.5281/zenodo.19350427</ext-link>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4737">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-13157-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-13157-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4746">T.E.M. contributed to study design, performed the data analysis, and led the writing of the manuscript. S.C.S. supervised the research, contributed to the study design, analysis methodology, and provided scientific guidance and editorial feedback throughout the manuscript development. J.K. contributed to scientific discussions, interpretation of the results, and manuscript revisions. All authors reviewed and approved the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4752">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="d2e4758">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="d2e4764">The authors thank Dr. Zhe Feng for providing the FLEXTRKR dataset used to identify and track mesoscale convective systems (MCSs) and for technical guidance. We acknowledge valuable scientific discussions with Dr. Julia Kukulies and colleagues at the Department of Chemical Engineering, University of Arizona. ERA5 reanalysis data were obtained from the European Centre for Medium-Range Weather Forecasts (ECMWF) under license</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4769">NASA Future Investigators in NASA Earth and Space Science and Technology (FINESST) (grant no. 23-EARTH23-0019).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4775">This paper was edited by Blaž Gasparini and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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