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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">791760</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.791760</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Mini Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>A Review of the Hydrologic Response Mechanisms During Mountain Rain-on-Snow</article-title>
<alt-title alt-title-type="left-running-head">Brandt et al.</alt-title>
<alt-title alt-title-type="right-running-head">Hydrologic Response to Rain-on-Snow</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Brandt</surname>
<given-names>W. Tyler</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1426634/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Haleakala</surname>
<given-names>Kayden</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1406961/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hatchett</surname>
<given-names>Benjamin J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1578297/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pan</surname>
<given-names>Ming</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Center for Western Weather and Water Extremes</institution>, <institution>Scripps Institution of Oceanography</institution>, <institution>University of California, San Diego</institution>, <addr-line>San Diego</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Civil and Environmental Engineering</institution>, <institution>University of California, Los Angeles</institution>, <addr-line>Los Angeles</addr-line>, <addr-line>CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Western Regional Climate Center</institution>, <institution>Desert Research Institute</institution>, <addr-line>Reno</addr-line>, <addr-line>NV</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1149655/overview">Anna-Kaisa Ronkanen</ext-link>, Finnish Environment Institute (SYKE), Finland</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/595896/overview">Christina (Naomi) Tague</ext-link>, University of California, Santa Barbara, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: W. Tyler Brandt, <email>wbrandt@ucsd.edu</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Cryospheric Sciences, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>791760</elocation-id>
<history>
<date date-type="received">
<day>08</day>
<month>10</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>03</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Brandt, Haleakala, Hatchett and Pan.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Brandt, Haleakala, Hatchett and Pan</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Mountain rain-on-snow (ROS) generates large flooding events worldwide. Climate warming will enhance the frequency, magnitude, and widespread nature of these events. Past studies indicate rainfall, not snowmelt, typically drives much of the runoff response during ROS. However, there is substantial event-to-event variability&#x2014;resulting from shifting atmospheric drivers and nuanced physical mechanisms governing water flow through a snowpack. Historically, turbulent fluxes were assumed to dominate the energy balance for snowmelt during ROS. Recent research nonetheless suggests that other components of the energy balance might be larger drivers depending on: 1) the time of year; 2) the elevation; and 3) the aspect of the slope. This mini review summarizes the literature on the physical processes governing ROS and proposes that moving forward we utilize the terms &#x201c;active&#x201d; and &#x201c;passive&#x201d; to describe a snowpack&#x2019;s contribution (<italic>via</italic> snowmelt) to terrestrial water input (TWI) during ROS. Active snowpacks readily contribute meltwater to TWI <italic>via</italic> the energy balance, bolstering rainfall-runoff totals. Passive snowpacks do not melt, but simply convey rainwater through the snow matrix. In both snowpack cases, preferential flow paths enhance transmissivity. This proposed classification scheme will help researchers and water managers better communicate and interpret past findings, and aid in forecasting discussions of future events.</p>
</abstract>
<kwd-group>
<kwd>rain-on-snow</kwd>
<kwd>snowmelt</kwd>
<kwd>terrestrial water input</kwd>
<kwd>snow energy balance</kwd>
<kwd>hydraulic conductivity</kwd>
</kwd-group>
<contract-sponsor id="cn001">University Corporation for Atmospheric Research<named-content content-type="fundref-id">10.13039/100005626</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Snow-fed mountain watersheds supply freshwater to &#x223c;2 billion people worldwide (<xref ref-type="bibr" rid="B97">Viviroli et al., 2007</xref>; <xref ref-type="bibr" rid="B92">Sturm et al., 2017</xref>; <xref ref-type="bibr" rid="B44">Immerzeel et al., 2020</xref>). However, climate change is endangering this natural service. Declines in winter snowfall and snow albedo are reducing snow&#x2019;s natural reservoir function by producing both smaller and earlier snowmelt (<xref ref-type="bibr" rid="B24">Dudley et al., 2017</xref>; <xref ref-type="bibr" rid="B43">Huss et al., 2017</xref>; <xref ref-type="bibr" rid="B74">Mote et al., 2018</xref>; <xref ref-type="bibr" rid="B88">Skiles et al., 2018</xref>; <xref ref-type="bibr" rid="B63">Lynn et al., 2020</xref>; <xref ref-type="bibr" rid="B58">Kraaijenbrink et al., 2021</xref>; <xref ref-type="bibr" rid="B86">Siirila-Woodburn et al., 2021</xref>). Winter rain-on-snow (ROS), particularly on high elevation alpine snow (<xref ref-type="bibr" rid="B28">Freudiger et al., 2014</xref>; <xref ref-type="bibr" rid="B5">Beniston and Stoffel, 2016</xref>; <xref ref-type="bibr" rid="B75">Musselman et al., 2018</xref>; <xref ref-type="bibr" rid="B40">Hock et al., 2019</xref>), further diminishes the snowpack&#x2019;s ability to accumulate, and simultaneously escalates the risk of extreme hazards including ROS floods, ROS initiated avalanches, and debris flows (<xref ref-type="bibr" rid="B35">Harr, 1981</xref>; <xref ref-type="bibr" rid="B21">DeGraff, 1994</xref>; <xref ref-type="bibr" rid="B90">Stimberis and Rubin, 2011</xref>; <xref ref-type="bibr" rid="B93">Surfleet and Tullos, 2013</xref>; <xref ref-type="bibr" rid="B38">Hatchett et al., 2020</xref>).</p>
<p>What is ROS? The simplest definition is: measurable rainfall on an existing snow cover (<xref ref-type="bibr" rid="B78">Pomeroy et al., 2016</xref>). However, observing and/or measuring the process is easier said than done (<xref ref-type="bibr" rid="B34">Harpold et al., 2017</xref>), which gives rise to numerous &#x201c;definitions&#x201d;. For example, <xref ref-type="bibr" rid="B70">McCabe et al. (2007)</xref> defined ROS as any day in which precipitation occurs and snow depth declines&#x2014;a good definition given available instrumentation, but the metric fails to quantify flood risk. Alternatively, <xref ref-type="bibr" rid="B75">Musselman et al. (2018)</xref> and <xref ref-type="bibr" rid="B42">Huang et al. (2022)</xref> defined ROS (with flood potential) as heavy rainfall <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
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<mml:mo>&#xa0;</mml:mo>
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</inline-formula> or <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>25</mml:mn>
<mml:mo>&#xa0;</mml:mo>
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<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
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</inline-formula>, respectively, that falls on a snow water equivalent (SWE) <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
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</inline-formula> and where the snowmelt contribution to Terrestrial Water Input (TWI; integrated rainfall and snowmelt reaching the land surface over the event duration) exceeds 20%, or 25%, respectively. However, as <xref ref-type="bibr" rid="B99">Wayand et al. (2015)</xref> noted, ROS flooding can still occur with minimal snowmelt contributions, and therefore depending on the ROS definition, could lead to an undercount of rainfall-driven, but nonetheless still technically ROS-type floods.</p>
<p>Definitions aside, rain falling on a snowpack tends to occur between a few to &#x223c;10 times a season (<xref ref-type="bibr" rid="B73">Moore and Prowse, 1988</xref>; <xref ref-type="bibr" rid="B12">Cohen et al., 2015</xref>; <xref ref-type="bibr" rid="B103">W&#xfc;rzer et al., 2016</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B47">Juras et al., 2021</xref>; <xref ref-type="bibr" rid="B60">L&#xf3;pez-Moreno et al., 2021</xref>), and is more frequent in maritime mid-latitude mountains vs. continental, or arctic locations (<xref ref-type="bibr" rid="B60">L&#xf3;pez-Moreno et al., 2021</xref>). Most ROS events do not cause flooding (i.e., <xref ref-type="bibr" rid="B72">Merz and Bl&#xf6;schl, 2003</xref>; <xref ref-type="bibr" rid="B105">Yang et al., 2020</xref>). But, when floods do arise&#x2014;they can be historic (e.g., <xref ref-type="bibr" rid="B54">Kattelmann, 1997</xref>; <xref ref-type="bibr" rid="B64">Marks et al., 1998</xref>; <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Garvelmann et al., 2015</xref>; <xref ref-type="bibr" rid="B78">Pomeroy et al., 2016</xref>).</p>
<p>This review covers the physical processes governing ROS for midlatitude mountain snowpacks and touches on flood-generating mechanisms. Conceptually, ROS floods exist on a continuum&#x2014;on one end, rainfall on a snow-dominated landscape producing TWI, and on the other, TWI resulting from both rainfall and snowmelt. Improvements to ROS flood forecasting skill is predicated on knowing the contributions of both fluxes as they impact the timing, duration, and volume of runoff (<xref ref-type="bibr" rid="B94">Tarasova et al., 2019</xref>). To help process-based discussion we introduce two new terms&#x2014; &#x201c;passive&#x201d; vs. &#x201c;active&#x201d; snowpacks. Passive snowpacks convey rainfall but provide minimal melt, whereas active snowpacks readily melt, enhancing TWI.</p>
</sec>
<sec id="s2">
<title>Conditions for a Large ROS Flood</title>
<p>Many past ROS floods have been largely rainfall driven (<xref ref-type="bibr" rid="B54">Kattelmann, 1997</xref>; <xref ref-type="bibr" rid="B72">Merz and Bl&#xf6;schl, 2003</xref>; <xref ref-type="bibr" rid="B99">Wayand et al., 2015</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2019</xref>). A good example of a more &#x201c;extreme&#x201d; snowmelt contribution would be <xref ref-type="bibr" rid="B39">Henn et al. (2020)</xref> who found that snowmelt enhanced TWI by 37% in California&#x2019;s Feather River. But, broadly speaking, what drives a large ROS runoff response?</p>
<p>Simply put, a large ROS runoff response requires an anomalously low snowline, a large snow-covered area (SCA) and prolonged, high-intensity rainfall over most of the SCA. A seasonally low snowline can result from either a preceding cold storm, or within a single storm (<xref ref-type="bibr" rid="B36">Hatchett et al., 2016</xref>)&#x2014;but both scenarios lead to a large SCA. Prolonged, high intensity rainfall can occur under a range of atmospheric conditions. These include: atmospheric rivers (ARs; e.g., <xref ref-type="bibr" rid="B32">Guan et al., 2016</xref>; <xref ref-type="bibr" rid="B82">Ralph et al., 2020</xref>), cloud microphysical processes such as seeder-feeder mechanisms and localized convection (e.g., <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al. (2014)</xref>), enhanced mid-tropospheric moisture fluxes (e.g., <xref ref-type="bibr" rid="B48">Kaplan et al. (2012)</xref>), and orographic effects (<xref ref-type="bibr" rid="B41">Houze, 2012</xref>). We note that these atmospheric conditions operate in unison or independently, but their identification is fundamental to understanding the spatiotemporal variability in the basin-wide runoff response.</p>
<p>While atmospheric conditions favor prolonged, high-intensity precipitation for a large runoff response, surface processes can either amplify or dampen the runoff. Primary factors include: the snow energy balance, preferential flow, and the antecedent snowpack and soil conditions (<xref ref-type="fig" rid="F1">Figure 1</xref>; <xref ref-type="bibr" rid="B25">Dunne and Black, 1971</xref>; <xref ref-type="bibr" rid="B8">Berris and Harr, 1987</xref>; <xref ref-type="bibr" rid="B54">Kattelmann, 1997</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B64">Marks et al., 1998</xref>; <xref ref-type="bibr" rid="B50">Kattelmann and Dozier, 1999</xref>; <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al., 2014</xref>; <xref ref-type="bibr" rid="B32">Guan et al., 2016</xref>). An active snowpack driven by a large positive energy balance can bolster rainfall driven TWI&#x2014;particularly across ephemeral (i.e., transient), low-elevation snow with little cold content (<xref ref-type="bibr" rid="B45">Jennings et al., 2018</xref>). However, without a saturated landscape and a snowpack with established preferential flow routing (see <xref ref-type="sec" rid="s4">Section 4</xref>), runoff responses could still be dampened and/or delayed (<xref ref-type="bibr" rid="B53">Kattelmann, 1989</xref>; <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B30">Garvelmann et al., 2015</xref>; <xref ref-type="bibr" rid="B103">W&#xfc;rzer et al., 2016</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold> A conceptual diagram of the key drivers for a large runoff response for a ROS event. Key ingredients include a low snowline with a large SCA combined with a high intensity (i.e., heavy), long duration rainfall over the majority of the SCA. Modulating factors that can enhance runoff volumes include saturated snow and soils, and a positive energy balance during the event that results in snowmelt contributions to TWI (i.e., an active snowpack). <bold>(B)</bold> a histogram of available data on snowmelt vs. rainfall contributions to TWI from 10 studies covering 203 ROS events from the following papers: <xref ref-type="bibr" rid="B4">Beaudry and Golding (1983)</xref>, <xref ref-type="bibr" rid="B7">Bergman (1983)</xref>, <xref ref-type="bibr" rid="B64">Marks et al. (1998)</xref>, <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al. (2014)</xref>, <xref ref-type="bibr" rid="B30">Garvelmann et al. (2015)</xref>, <xref ref-type="bibr" rid="B99">Wayand et al. (2015)</xref>, <xref ref-type="bibr" rid="B78">Pomeroy et al. (2016)</xref>, <xref ref-type="bibr" rid="B20">Corripio and L&#xf3;pez-Moreno (2017)</xref>, <xref ref-type="bibr" rid="B67">Mateo-L&#xe1;zaro et al. (2019)</xref>, and <xref ref-type="bibr" rid="B39">Henn et al. (2020)</xref>. Note: not all events are independent, ROS definitions vary by study, and spatial scales represented range from point to basin using either observations or models. Moving forward we would encourage new studies to record the percent contributions to TWI to facilitate future intercomparison studies. <bold>(C)</bold> the evolution of the snowline in California&#x2019;s Sierra Nevada (focused on the Tuolumne) using data from NASA&#x2019;s Moderate Resolution Imaging Spectroradiometer (MODIS) obtained from Worldview (<ext-link ext-link-type="uri" xlink:href="https://worldview.earthdata.nasa.gov/">https://worldview.earthdata.nasa.gov/</ext-link>). The first image <bold>(ci)</bold> demonstrates how a cold storm can initially exacerbate ROS flood risk by increasing SCA beyond traditional mountain regions and expanding ephemeral vs. seasonal (<xref ref-type="bibr" rid="B76">Petersky and Harpold, 2018</xref>) snowpack areas. However, flood risk abated as ephemeral snow melted away <bold>(cii)</bold>, dampening some of its potentially &#x201c;active&#x201d; impact prior to ROS that occurred after 5 February. <bold>(ciii)</bold> Shows the snow cover retreat after ROS. This sequence highlights the importance of storm sequencing in ROS flooding&#x2014;had the 5 February storm occurred earlier, the flood risk would have been far greater. The snow seasonality metric and snowlines were estimated from data obtained via the Snow Property Inversion from Remote Sensing product [SPIReS; <xref ref-type="bibr" rid="B3">Bair et al. (2021)</xref>].</p>
</caption>
<graphic xlink:href="feart-10-791760-g001.tif"/>
</fig>
<p>Many midlatitude snow-dominated basins have extensive forest coverage, and vegetation structure/density are known to influence snow accumulation <italic>via</italic> interception, reduced wind effects, and an altered energy balance (<xref ref-type="bibr" rid="B91">Storck et al., 2002</xref>; <xref ref-type="bibr" rid="B61">Lundquist et al., 2013</xref>; <xref ref-type="bibr" rid="B10">Broxton et al., 2015</xref>; <xref ref-type="bibr" rid="B89">Stevens, 2017</xref>). Given that ROS involves some of the same processes, it would follow that vegetation should also exert control on resulting ROS runoff. However, results from field studies remain inconclusive. For example, some studies suggest that ROS produces more outflow from glades (forest open areas) compared to forests (<xref ref-type="bibr" rid="B4">Beaudry and Golding, 1983</xref>; <xref ref-type="bibr" rid="B8">Berris and Harr, 1987</xref>; <xref ref-type="bibr" rid="B91">Storck et al., 2002</xref>), while others observed little difference (<xref ref-type="bibr" rid="B52">Kattelmann, 1987</xref>; <xref ref-type="bibr" rid="B6">Berg et al., 1991</xref>; <xref ref-type="bibr" rid="B30">Garvelmann et al., 2015</xref>). A good discussion can be found in <xref ref-type="bibr" rid="B30">Garvelmann et al. (2015)</xref>&#x2014;but, more research is needed.</p>
</sec>
<sec id="s3">
<title>Passive vs Active Snowpacks</title>
<p>While our binary classification (passive vs. active) is by design simple, we note that snowpacks exist on a spectrum that can vary both temporally and spatially (<xref ref-type="fig" rid="F2">Figure 2</xref>). For example, at a point location, antecedent snowpack conditions (e.g., the pre-event cold content) coupled with the meteorological conditions will initially drive a singular response (passive or active), however a shift in the meteorological drivers (i.e., a change in weather fronts) could elicit a switch. From a basin perspective, snowpacks are likely composed of a transition from active to passive snowpacks because of elevation-driven temperature differences&#x2014;particularly when basins encompass large topographic relief. Forest coverage and/or structure will only increase the variability in the snowpack response. Regardless, both snowpack modes (passive vs. active) can dampen and/or delay TWI through an unsatisfied irreducible water content, but only active snowpacks will amplify TWI.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>A conceptual diagram connecting meteorological drivers for active vs. passive snowpacks to snowpack liquid water routing and finally the speed of water outflow. Note: for a more detailed description of hydraulic barriers with regards to water routing within the snowpack see <xref ref-type="bibr" rid="B100">Webb et al. (2018a)</xref>.</p>
</caption>
<graphic xlink:href="feart-10-791760-g002.tif"/>
</fig>
<sec id="s3-1">
<title>Passive Snowpacks</title>
<p>We define a passive snowpack as one that primarily conveys rainfall (i.e., TWI contributions of snowmelt <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mo>&#x2264;</mml:mo>
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</mml:math>
</inline-formula>. The minor snowmelt contribution is principally the result of advective heat&#x2014;a small component of the energy balance (Trubilowicz and Moore, 2017). Because snowmelt can be small, SWE can remain the same, or even increase, when comparing pre- and post-ROS event water equivalents due to liquid water storage within the pack, and/or intermittent snowfall. Algorithms looking for a decreasing snow depth and/or SWE to indicate ROS might miss a passive snowpack. Passive snowpacks are maintained through a combination of: 1) a large cold content; 2) insufficient meteorological drivers to induce melt; and/or 3) preferential flow paths.</p>
<p>Regular snowfall events build cold content (<xref ref-type="bibr" rid="B45">Jennings et al., 2018</xref>), enabling a seasonal, deep snowpack to buffer modest meteorological drivers (<xref ref-type="bibr" rid="B33">Haleakala et al., 2021</xref>). Shallower snowpacks (i.e., ephemeral snow) are more at risk of melt during ROS. However, the presence of preferential flow&#x2014;even for an ephemeral snowpack&#x2014;can modulate the impacts of sensible heat due to rainfall energy. Preferential flow can move large volumes of water through small pores (between 3 and 8% of a cross-sectional area according to <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>), essentially &#x201c;insulating&#x201d; the rest of the pack (<xref ref-type="bibr" rid="B65">Marsh and Woo, 1984</xref>; <xref ref-type="bibr" rid="B51">Kattelmann, 1985</xref>; <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>; <xref ref-type="bibr" rid="B85">Schneebeli, 1995</xref>). While we study active snowpacks because of their large flooding impacts (i.e., <xref ref-type="bibr" rid="B64">Marks et al. (1998)</xref>, <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al. (2014)</xref>, and <xref ref-type="bibr" rid="B39">Henn et al. (2020)</xref>), passive snowpacks may be equally potent flood drivers (see Appendix A in <xref ref-type="bibr" rid="B99">Wayand et al., 2015</xref>).</p>
</sec>
<sec id="s3-2">
<title>Active Snowpacks</title>
<p>Active snowpacks produce relatively large snowmelt volumes (i.e., contributing <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mo>&#x226b;</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> to TWI). In short, a satisfied cold content and a positive energy balance will shift a passive snowpack to an active one generating snowmelt. Key components of the energy balance will be discussed.</p>
<sec id="s3-2-1">
<title>Turbulent Fluxes</title>
<p>The turbulent heat fluxes&#x2014;particularly the latent heat flux&#x2014;are dominant drivers of ROS melt. Warm and wet winter storms, often atmospheric rivers (AR), feature high specific humidity and above-average wind speeds (<xref ref-type="bibr" rid="B80">Ralph et al., 2004</xref>; <xref ref-type="bibr" rid="B81">Ralph et al., 2005</xref>; <xref ref-type="bibr" rid="B31">Gimeno et al., 2014</xref>; <xref ref-type="bibr" rid="B37">Hatchett et al., 2017</xref>). These conditions favor the latent heat flux, with energy release taking two forms: 1) the refreezing of rain within the snowpack; and 2) condensation at the snow&#x2019;s surface (<xref ref-type="bibr" rid="B22">DeWalle and Rango, 2008</xref>). It was 2) that drove large floods after a 1996 AR in the Pacific Northwest, with 60&#x2013;90% of the energy for snowmelt attributed to condensation (<xref ref-type="bibr" rid="B64">Marks et al., 1998</xref>). The literature is rich with other case studies demonstrating the potency of this energy balance term e.g., <xref ref-type="bibr" rid="B8">Berris and Harr (1987)</xref>, <xref ref-type="bibr" rid="B83">R&#xf6;ssler et al. (2014)</xref> and <xref ref-type="bibr" rid="B30">Garvelmann et al. (2015)</xref>. Nonetheless, a key modulating factor is vegetation (i.e., <xref ref-type="bibr" rid="B8">Berris and Harr, 1987</xref>; <xref ref-type="bibr" rid="B64">Marks et al., 1998</xref>), so forest density and coverage need to be carefully considered when attributing snowmelt to the turbulent fluxes.</p>
</sec>
<sec id="s3-2-2">
<title>Downwelling Longwave Radiation</title>
<p>Another important, but less-recognized energy balance driver of ROS melt, is downwelling longwave radiation. During ROS, longwave contributes to active snowmelt <italic>via</italic> warm, moist atmospheric conditions (<xref ref-type="bibr" rid="B29">Garvelmann et al., 2014</xref>; <xref ref-type="bibr" rid="B9">Bilish et al., 2018</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2019</xref>). Over the continental US, <xref ref-type="bibr" rid="B59">Li et al. (2019)</xref> demonstrated that net radiation (dominated by longwave) is the leading source of energy (68%) for ROS snowmelt in the mountainous Western US. The study is supported by <xref ref-type="bibr" rid="B69">Mazurkiewicz et al. (2008)</xref> who also found that ROS snowmelt was governed by longwave contributions in the Pacific Northwest&#x2014;a surprise given that the turbulent fluxes were hypothesized to be a key driver.</p>
</sec>
<sec id="s3-2-3">
<title>Ground Heat Flux</title>
<p>Historically, studies have often neglected the ground heat flux due to near- or below-freezing surface temperatures (<xref ref-type="bibr" rid="B22">DeWalle and Rango, 2008</xref>). However, during fall and spring near-surface soil temperatures can exceed 0&#xb0;C and contribute to basal layer snowmelt. <xref ref-type="bibr" rid="B78">Pomeroy et al. (2016)</xref> found that a late-season snowpack was primarily melted by the ground heat flux during a 2013 Canadian Rockies ROS flood. They reasoned summer ROS should be considered &#x201c;distinct&#x201d; from winter ROS.</p>
</sec>
<sec id="s3-2-4">
<title>Advected (Sensible) Heat due to Rain</title>
<p>Lastly, advected (sensible) heat from percolating rain into snow (a porous media) has the potential to induce melt (<xref ref-type="bibr" rid="B54">Kattelmann, 1997</xref>; <xref ref-type="bibr" rid="B22">DeWalle and Rango, 2008</xref>; <xref ref-type="bibr" rid="B59">Li et al., 2019</xref>). However, in British Columbia, <xref ref-type="bibr" rid="B96">Trubilowicz and Moore (2017)</xref> showed advected heat contributed &#x3c;10% to total energy consumed for melt over 286 ROS events (10&#xa0;years period). However, the calculation neglects preferential flow (<xref ref-type="bibr" rid="B66">Marsh and Woo, 1985</xref>; <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>), which if present further diminishes the role of advected heat. Nonetheless, prolonged, high-intensity rainfall has potential for non-negligible advected heat, so the term should not be overlooked.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>Snow Hydraulic Conductivity and Outflow Generation</title>
<p>The rate of liquid water transmission through snow governs outflow timing and magnitude. Despite being studied&#x2014;from theoretical (e.g., <xref ref-type="bibr" rid="B13">Colbeck, 1972</xref>; <xref ref-type="bibr" rid="B14">Colbeck, 1973</xref>; <xref ref-type="bibr" rid="B16">Colbeck, 1975</xref>; <xref ref-type="bibr" rid="B17">1976</xref>; <xref ref-type="bibr" rid="B18">1978</xref>), to experimental (e.g., <xref ref-type="bibr" rid="B15">Colbeck, 1974</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B46">Juras et al., 2017</xref>), and observational standpoints (e.g., <xref ref-type="bibr" rid="B65">Marsh and Woo, 1984</xref>; <xref ref-type="bibr" rid="B19">Conway and Benedict, 1994</xref>; <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>; <xref ref-type="bibr" rid="B50">Kattelmann and Dozier, 1999</xref>; <xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>; <xref ref-type="bibr" rid="B84">R&#xfc;cker et al., 2019</xref>)&#x2014;we have yet to fully grasp the complexities of water routing through snow. Much of the &#x201c;unknown&#x201d; lies in the variability of the snow&#x2019;s stratigraphy and the complex exchanges of water and energy between layers.</p>
<sec id="s4-1">
<title>Matrix Flow vs Preferential Flow</title>
<p>Percolation within a porous material is driven by a fluid&#x2019;s potential energy but modulated by conductance (following Darcy&#x2019;s Law). In the absence of a hydraulic barrier, vertical energy gradients (i.e., gravity) induce vertical flow. Vertical flow falls into two classes of mechanisms: 1) matrix flow; and 2) preferential flow (<xref ref-type="bibr" rid="B85">Schneebeli, 1995</xref>; <xref ref-type="bibr" rid="B98">Waldner et al., 2004</xref>). Under matrix flow, an even wetting front propagates following Darcy&#x2019;s law of flow&#x2014;mathematically simplistic. Preferential flow, on the other hand, consists of spatially heterogeneous saturated &#x201c;preferential flow paths&#x201d; that exploit density differences and conveys water due to a lower porosity (<xref ref-type="bibr" rid="B65">Marsh and Woo, 1984</xref>; <xref ref-type="bibr" rid="B51">Kattelmann, 1985</xref>; <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>; <xref ref-type="bibr" rid="B85">Schneebeli, 1995</xref>). Dye tracer studies have revealed that: 1) elements of both matrix (usually at the surface), and preferential flow (usually deeper) can be present (e.g., <xref ref-type="bibr" rid="B19">Conway and Benedict (1994)</xref>), and that 2) preferential flow can &#x201c;pool&#x201d; or generate lateral flow if hydraulic barriers (either ice lenses or capillary barriers) are present (<xref ref-type="bibr" rid="B19">Conway and Benedict, 1994</xref>; <xref ref-type="bibr" rid="B77">Pfeffer and Humphrey, 1996</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B50">Kattelmann and Dozier, 1999</xref>; <xref ref-type="bibr" rid="B1">Albert and Perron, 2000</xref>; <xref ref-type="bibr" rid="B98">Waldner et al., 2004</xref>; <xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>; <xref ref-type="bibr" rid="B104">W&#xfc;rzer et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Katsushima et al., 2020</xref>). Importantly, despite preferential flow only representing a small volume of the overall snowpack (between 3 and 8% as measured by <xref ref-type="bibr" rid="B71">McGurk and Marsh, 1995</xref>), this conveyance mechanism cannot be overlooked as it can heavily influence basin outflow response times (<xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>; <xref ref-type="bibr" rid="B104">W&#xfc;rzer et al., 2017</xref>). But, because preferential flow is predicated on fine-scale differences in density and porosity (which shift with grain metamorphism)&#x2014;prediction is challenging (<xref ref-type="bibr" rid="B18">Colbeck, 1978</xref>; <xref ref-type="bibr" rid="B85">Schneebeli, 1995</xref>; <xref ref-type="bibr" rid="B2">Avanzi et al., 2019</xref>). Nonetheless, continued use of dye tracer studies and new techniques like near-infrared hyperspectral imagery will help address knowledge gaps (e.g., <xref ref-type="bibr" rid="B23">Donahue et al., 2022</xref>). Important questions include: when does preferential flow form, and how spatially heterogenous are these features?</p>
</sec>
<sec id="s4-2">
<title>Rainfall Simulation Experiments</title>
<p>Rainfall simulation experiments attempt to improve our understanding of water routing through the whole snowpack, although results can be difficult to compare (<xref ref-type="bibr" rid="B19">Conway and Benedict, 1994</xref>; <xref ref-type="bibr" rid="B87">Singh et al., 1997</xref>; <xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>; <xref ref-type="bibr" rid="B46">Juras et al., 2017</xref>). For example, <xref ref-type="bibr" rid="B87">Singh et al. (1997)</xref> found &#x201c;conditioned&#x201d; snowpacks, i.e., isothermal snowpacks with a high liquid water content (LWC; 6.8%) due to previous rainfall, generate rapid runoff through preferential flow. Nonetheless, in contrast to <xref ref-type="bibr" rid="B87">Singh et al. (1997)</xref>; <xref ref-type="bibr" rid="B46">Juras et al. (2017)</xref> found that highly-stratified mid-winter snowpacks (LWC of 0.9%) generated a faster outflow response due to preferential flow when compared with three isothermal snowpacks (mean LWC of 3.7%). Despite these contrary findings, stratified snowpacks appear more likely to generate preferential flow, yielding faster outflow response times. However, the initial snow depth and LWC will act as secondary controls regulating the response times (<xref ref-type="bibr" rid="B103">W&#xfc;rzer et al. (2016)</xref>. We advocate for more rainfall simulation experiments as they bolster natural ROS studies, but can be conducted on our own time, and across different snow environments (i.e., elevation, aspect and vegetation classes). While these experiments are time intensive and difficult to perform, this should not deter their usage.</p>
</sec>
</sec>
<sec id="s5">
<title>Modeling and Observations: Suggestions</title>
<p>Because mountain ROS environments are arguably one of the most complex encountered, parsing (and forecasting) active vs. passive snowpacks requires a full, physically-based characterization of the energy balance, as opposed to a degree day model&#x2014;temperature alone does not drive ROS melt (<xref ref-type="bibr" rid="B79">Qi et al., 2017</xref>). With reasonable meteorological forcing data, energy balance models are capable of realistic estimates of snow state, i.e., the &#x201c;bulk&#x201d; cold content (<xref ref-type="bibr" rid="B45">Jennings et al., 2018</xref>). However, the quality of model output is largely predicated on the quality of the meteorological forcing&#x2014;which can be poor even in observation-rich regions like California&#x2019;s Sierra Nevada (<xref ref-type="bibr" rid="B62">Lundquist et al., 2019</xref>; <xref ref-type="bibr" rid="B95">Terzago et al., 2020</xref>). Denser, and improved station networks to capture complex meteorological drivers would greatly enhance our modeling capabilities.</p>
<p>While the meteorological environment during ROS is difficult to observe, arguably harder still are the exchanges of water and energy within the snowpack itself. To represent these processes, models require multi-layer snowpacks, with both Darcy and Richard&#x2019;s equations for flow, and ways to incorporate preferential flow (i.e., <xref ref-type="bibr" rid="B102">Wever et al. (2016)</xref>). But our physical understanding of these processes and their variability is still in its infancy. Advancing modeling efforts requires more rigorous measurements, e.g., TWI from networks of lysimeters (<xref ref-type="bibr" rid="B66">Marsh and Woo, 1985</xref>; <xref ref-type="bibr" rid="B55">Kattelmann, 2000</xref>; <xref ref-type="bibr" rid="B26">Eiriksson et al., 2013</xref>; <xref ref-type="bibr" rid="B101">Webb et al., 2018b</xref>; <xref ref-type="bibr" rid="B84">R&#xfc;cker et al., 2019</xref>), observations of stratigraphy and measurements of LWC (e.g., <xref ref-type="bibr" rid="B57">Koch et al. (2019)</xref>, <xref ref-type="bibr" rid="B68">Mavrovic et al. (2020)</xref>; <xref ref-type="bibr" rid="B27">Eole and Michel (2021)</xref>, <xref ref-type="bibr" rid="B11">Capelli et al. (2022)</xref>). This &#x201c;measurement space&#x201d; needs clever, new engineering solutions to achieve a predictive understanding of ROS.</p>
</sec>
<sec id="s6">
<title>Final Thoughts</title>
<p>Impactful ROS floods are rare, unique, and occur during varied meteorological conditions with swings in flood driving mechanisms. The causative components for ROS floods (rainfall vs. snowmelt) can vary storm-by-storm depending on whether a snowpack is passive or active, and the routing mechanisms at play. Moving forward, we first encourage a more vigorous debate on the definition(s) of ROS&#x2014;having agreed upon definitions will foster better intercomparison studies and understanding of future ROS risk. Second, we encourage funding for established and novel measurements and improved networking across systems (<xref ref-type="bibr" rid="B38">Hatchett et al., 2020</xref>). Specifically, we suggest: 1) improved and denser observation networks for the phase, temperature, and intensity of precipitation; and 2) the development of quickly deployable and movable instruments to measure the snow energy balance, snow cold content, and snowpack flow regimes. These new observations would help to constrain model physics with regards to passive vs. active snowpacks, and ensure extreme events are skillfully forecast for the correct physically-based reasons (<xref ref-type="bibr" rid="B56">Kirchner, 2006</xref>).</p>
</sec>
</body>
<back>
<sec id="s7">
<title>Author Contributions</title>
<p>WB conceptualized the paper and wrote the first draft. KH, BH, and MP provided revisions. MP supervised the project.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>WB drafted the review based on funds from UCAR (subaward 001987), and NOAA (NOAA-OAR-OWAQ-2019-2005820). Publication fees were paid by the UCAR subaward.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>The authors greatly appreciate the constructive feedback and insightful suggestions from the reviewer (CT) and from Anne Heggli.</p>
</ack>
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