<?xml-model href='http://www.tei-c.org/release/xml/tei/custom/schema/relaxng/tei_all.rng' schematypens='http://relaxng.org/ns/structure/1.0'?><TEI xmlns="http://www.tei-c.org/ns/1.0">
	<teiHeader>
		<fileDesc>
			<titleStmt><title level='a'>The spring transition of the North Pacific jet and its relation to deep stratosphere-to-troposphere mass transport over western North America</title></titleStmt>
			<publicationStmt>
				<publisher></publisher>
				<date>01/01/2021</date>
			</publicationStmt>
			<sourceDesc>
				<bibl> 
					<idno type="par_id">10308573</idno>
					<idno type="doi">10.5194/acp-21-2781-2021</idno>
					<title level='j'>Atmospheric Chemistry and Physics</title>
<idno>1680-7324</idno>
<biblScope unit="volume">21</biblScope>
<biblScope unit="issue">4</biblScope>					

					<author>Melissa L. Breeden</author><author>Amy H. Butler</author><author>John R. Albers</author><author>Michael Sprenger</author><author>Andrew O'Neil Langford</author>
				</bibl>
			</sourceDesc>
		</fileDesc>
		<profileDesc>
			<abstract><ab><![CDATA[Abstract. Stratosphere-to-troposphere mass transport to the planetaryboundary layer (STT-PBL) peaks over the western United States during borealspring, when deep stratospheric intrusions are most frequent. Thetropopause-level jet structure modulates the frequency and character ofintrusions, although the precise relationship between STT-PBL and jetvariability has not been extensively investigated. In this study, wedemonstrate how the North Pacific jet transition from winter to summer leadsto the observed peak in STT-PBL. We show that the transition enhancesSTT-PBL through an increase in storm track activity which produceshighly amplified Rossby waves and more frequent deep stratosphericintrusions over western North America. This dynamic transition coincideswith the gradually deepening PBL, further facilitating STT-PBL in spring. Wefind that La Niña conditions in late winter are associated with anearlier jet transition and enhanced STT-PBL due to deeper and more frequenttropopause folds. An opposite response is found during El Niñoconditions. El Niño–SouthernOscillation (ENSO) conditions also influence STT-PBL in late spring or earlysummer, during which time La Niña conditions are associated with largerand more frequent tropopause folds than both El Niño and ENSO-neutralconditions. These results suggest that knowledge of ENSO state and the North Pacific jet structure in late winter could be leveraged for predicting thestrength of STT-PBL in the following months.]]></ab></abstract>
		</profileDesc>
	</teiHeader>
	<text><body xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xlink="http://www.w3.org/1999/xlink">
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1">Introduction</head><p>The annual cycle of the North Pacific jet drives changes in the circulation response to external perturbations, thereby modifying sensible weather over North America <ref type="bibr">(Fleming et al., 1987;</ref><ref type="bibr">Nakamura, 1992;</ref><ref type="bibr">Newman and Sardeshmukh, 1998;</ref><ref type="bibr">Lareau and Horel, 2012)</ref>. The jet is strongest during boreal winter due to the overlapping of a polar jet forming via lowlevel baroclinicity and a subtropical jet forming via outflow from tropical convection <ref type="bibr">(Eichelberger and Hartmann, 2007;</ref><ref type="bibr">Jaffe et al., 2011;</ref><ref type="bibr">Li and Wettstein, 2012;</ref><ref type="bibr">Christenson et al., 2017)</ref>. The jet weakens during spring to its summertime minimum as both baroclinicity and tropical convection weaken. This study will focus on how the wintertime jet evolves during spring, which we will refer to as the spring transition. <ref type="bibr">Newman and Sardeshmukh (1998)</ref> found that the North Pacific jet transitions from one contiguous jet core to a doublejet structure in mid-March, including a subtropical branch that extends southeastward from a point near the date line to the southern United States and a midlatitude branch in the west and central Pacific. This transition coincides with a peak in storm track activity <ref type="bibr">(Nakamura, 1992;</ref><ref type="bibr">Hoskins and Hodges, 2019)</ref> as the background zonal wind and stationary eddy characteristics are strongly linked <ref type="bibr">(Nakamura, 1992;</ref><ref type="bibr">Hoskins and Ambrizzi, 1993)</ref>.</p><p>How the spring transition affects stratospheric intrusions associated with both potent cyclogenesis and, the focus of this study, stratosphere-to-troposphere mass transport to the planetary boundary layer (STT-PBL) has not been exten-Published by Copernicus Publications on behalf of the European Geosciences Union. sively investigated. <ref type="bibr">&#352;kerlak et al. (2014)</ref> highlighted a climatological maximum in STT-PBL during boreal spring over western North America, which they attributed, in part, to a deep arid boundary layer while noting a substantial amount of forcing for descent must also be present. The timing in the peak of deep transport differs from peak transport across the tropopause, which is strongest in boreal winter <ref type="bibr">(Sprenger and Wernli, 2003;</ref><ref type="bibr">&#352;kerlak et al., 2014)</ref>, highlighting the unique nature of deep transport events. Given the peak in North Pacific storm track activity during boreal spring and corresponding peak in STT-PBL, we hypothesize that the invigoration of the storm track from late winter to spring produces stronger stratospheric intrusions, enhancing STT-PBL.</p><p>Natural, non-local sources of ozone to the surface need to be understood and accounted for when creating exceedance limits above the background level for the National Ambient Air Quality Standard (NAAQS). Consistent with the typical seasonal evolution of STT-PBL presented by <ref type="bibr">&#352;kerlak et al., 2014</ref>, cases of deep stratospheric-ozone intrusions over the western United States have focused predominantly on boreal spring, when intrusions can contribute substantially to the tropospheric ozone budget <ref type="bibr">(Staley, 1962;</ref><ref type="bibr">Langford et al., 2009</ref><ref type="bibr">Langford et al., , 2012</ref><ref type="bibr">Langford et al., , 2017;;</ref><ref type="bibr">Lefohn et al., 2012;</ref><ref type="bibr">Lin et al., 2012</ref><ref type="bibr">Lin et al., , 2015;;</ref><ref type="bibr">Knowland et al., 2017;</ref><ref type="bibr">&#352;kerlak et al., 2019)</ref>. Deep intrusions are commonly observed on the southwest edge of cyclonic potential vorticity (PV) anomalies associated with deep midtropospheric troughs, where air is descending along isentropic surfaces, transporting filaments of PV-and ozone-rich stratospheric air into the troposphere <ref type="bibr">(Reed and Danielsen, 1959;</ref><ref type="bibr">Danielsen, 1964</ref><ref type="bibr">Danielsen, , 1968;;</ref><ref type="bibr">Shapiro, 1980;</ref><ref type="bibr">Keyser and Shapiro, 1986;</ref><ref type="bibr">Sprenger et al., 2007;</ref><ref type="bibr">Gettelman et al., 2011)</ref>. From these case studies, it is evident that several synoptic situations, with the common element of highly amplified flow and often Rossby wave breaking, can facilitate STT-PBL (e.g., <ref type="bibr">Sprenger et al., 2007)</ref>. However, there is a clear peak in transport during boreal spring, suggesting a unique set of conditions exist during the spring transition that are conducive to deep transport.</p><p>Some studies have noted spring seasons with exceptionally elevated STT-PBL <ref type="bibr">(Lin et al., 2015;</ref><ref type="bibr">Knowland et al., 2017)</ref> while some are characterized by relatively minimal STT-PBL <ref type="bibr">(Lin et al., 2015)</ref>. We will demonstrate that this interannual variability of STT-PBL during spring is related to the timing of the spring transition and, often, the state of the El Ni&#241;o-Southern Oscillation (ENSO). ENSO phase can influence the state of the North Pacific jet <ref type="bibr">(Renwick and Wallace, 1996;</ref><ref type="bibr">Shapiro et al., 2001;</ref><ref type="bibr">Martius et al., 2007;</ref><ref type="bibr">Breeden et al., 2020)</ref> and STT, although cross-tropopause transport and deep transport display inconsistent responses to ENSO phase <ref type="bibr">(Langford et al., 1998;</ref><ref type="bibr">Zeng and Pyle, 2005;</ref><ref type="bibr">Voulgarakis et al., 2011;</ref><ref type="bibr">Lin et al., 2014</ref><ref type="bibr">Lin et al., , 2015;;</ref><ref type="bibr">Neu et al., 2014;</ref><ref type="bibr">Albers et al., 2018)</ref>. In the mid-troposphere, El Ni&#241;o conditions can enhance STT in much of the free troposphere through shallow folding along the stronger, extended jet. Conversely, La Ni&#241;a conditions have been associated with enhanced strato-spheric contributions to surface ozone at several monitoring stations located in the western United States, suggesting there is stronger STT-PBL during La Ni&#241;a conditions compared to El Ni&#241;o <ref type="bibr">(Lin et al., 2015)</ref>.</p><p>While preliminary results suggest a relationship between ENSO, North Pacific jet variability and STT-PBL over the western US, further investigation of the linkages between these factors is warranted. For instance, changes in specific characteristics of tropopause folds by ENSO phase -such as their vertical and lateral extent and their frequency -have not been considered, nor have these changes been explicitly linked to variations in STT-PBL. It is the objective of this study to address these sources of STT-PBL variability using feature-based products designed to study deep transport <ref type="bibr">(Sprenger et al., 2017)</ref>. We focus on how ENSO modifies the seasonal transition of the North Pacific jet, thereby affecting the timing, frequency, and characteristics of stratospheric intrusions and STT-PBL. Section 2 presents the data and methods used for analysis, Sect. 3.1 presents characteristics of the North Pacific jet transition, Sect. 3.2 relates the transition to STT-PBL, and Sect. 3.3 explores the influence of ENSO on the seasonal transition and STT-PBL. Section 4 offers a discussion of results and concluding remarks.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2">Data and methods</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1">Data</head><p>Zonal and meridional wind on pressure levels was accessed from the Japanese Reanalysis-55 dataset <ref type="bibr">(Kobayashi et al., 2015)</ref>, at 2.5&#215;2.5 &#8226; horizontal resolution at 6 h time intervals, from February-June 1958-2017, and the European Centre for Medium-Range Forecasting (ECMWF) ERA-Interim dataset <ref type="bibr">(Dee et al., 2011)</ref> at 1 &#215; 1 &#8226; horizontal resolution at 6 h time intervals from February-June 1979-2017. The lower horizontal resolution of JRA-55 was used due to our interest in large-scale patterns of variability, and the resolution difference does not influence the resultant analysis. The 60year JRA-55 reanalysis is used to compare the spring transition for as many ENSO events as possible (Fig. <ref type="figure">8</ref>), while ERA-Interim is used to be consistent with the transport and tropopause fold diagnostics that were derived from ERA-Interim reanalysis. Both datasets use four-dimensional variational data assimilation schemes, and for JRA-55 there is good consistency between the pre-and post-satellite era values <ref type="bibr">(Kobayashi et al., 2015)</ref>. The fold and transport diagnostics, described below, were determined using ERA-Interim on the original 60 hybrid model levels, deemed suitably high vertical resolution for tracking these small-scale features <ref type="bibr">(&#352;kerlak et al., 2014, 2015)</ref>. The state of ENSO was evaluated using the monthly Oceanic Ni&#241;o Index (ONI) which is based on a threshold of &#177; 0.5 &#8226; C (positive indicating El Ni&#241;o, negative indicating La Ni&#241;a) averaged over the Ni&#241;o 3.4 region (5 &#8226; N-5 &#8226; S, 120-170 &#8226; W; NOAA CPC).</p><p>STT-PBL, calculated and presented in <ref type="bibr">&#352;kerlak et al. (2014)</ref>, was accessed at 1 &#215; 1 &#8226; horizontal resolution and 6 h time intervals from February-June 1980-2016. STT-PBL is defined to occur when trajectories that originate in the stratosphere cross the tropopause and reach a pressure value greater than that of the PBL top. First, kinematic trajectories were determined every 24 h globally from 50 to 650 hPa using the tool introduced in <ref type="bibr">Wernli and Davies (1997)</ref>. Stratospheric trajectories, determined using an advanced threedimensional labeling algorithm <ref type="bibr">(&#352;kerlak et al., 2014)</ref>, that crossed the tropopause were then identified, and their maximum pressure value tracked as they evolved forward in time. If a trajectory's pressure value exceeded the pressure of the PBL top, then it was flagged and converted to an amount of mass: m &#8776; 1 g ( x) 2 p &#8776; 6.52 &#215; 10 11 kg, where x = 80 km and p = 30 hPa, in the extratropics <ref type="bibr">(&#352;kerlak et al., 2014)</ref>. PBL height was determined using the 6 h forecast by the ECMWF model. Using PBL height instead of a fixed pressure level to define deep STT improves identification of deep STT over mountainous regions, particularly important for this study.</p><p>For a measure of the depth of stratospheric intrusions that lead to STT-PBL over western North America, the tropopause fold identification scheme developed by <ref type="bibr">&#352;kerlak et al. (2015)</ref> was used at 6 h temporal resolution and 1 &#215; 1 &#8226; horizontal resolution. Building upon the fold identification scheme introduced by <ref type="bibr">Sprenger and Wernli (2003)</ref>, tropopause folds were identified by first distinguishing between air of stratospheric and tropospheric origin on a potential vorticity basis using a three-dimensional labeling scheme. Folds of stratospheric origin are then identified when there were multiple crossings of the tropopause (defined using surfaces of the &#177; 2 PVU (potential vorticity unit, 1 PVU = 10 -6 K m 2 kg -1 s -1 ) surface and 380 K potential temperature, tropopause marked at whichever surface is lower), observed within a single vertical profile. At locations where folds were identified, the minimum and maximum pressure the fold reached was recorded (Fig. <ref type="figure">S1</ref>). To examine how the jet transition, and later ENSO phase, affects the depth of tropopause folds, we tracked the maximum pressure a fold, if identified over the western US (box in Fig. <ref type="figure">S1</ref>), reached for each 6 h time step. The size of folds deeper than 400 hPa was also tracked by counting the number of grid points over the region that were characterized by a maximum pressure greater than 400 hPa. The number of grid points meeting this criterion was then divided by the number of grid points over the western US domain. The number of time steps characterized by a fold with a maximum pressure greater than 400 hPa was also recorded, for a measure of the frequency of tropopause folds under various large-scale conditions. Any mention of tropopause fold frequency therefore refers to only this subset of folds, as folds shallower than 400 hPa are unlikely to affect STT-PBL. Similar results are found when folds larger or deeper than 500 hPa are selected, although differences in the size of intrusions are more difficult to discern given the small-scale nature of intrusions this deep (e.g., <ref type="bibr">Knowland et al., 2017)</ref>.</p><p>We note that the 2-PVU surface, which is used to define the maximum pressure folds reached and marks the "dynamic tropopause" boundary <ref type="bibr">(Hoskins et al., 1985)</ref>, does not always mark the terminus of the fold, and that ozone originating in the stratosphere more closely follows the 1-PVU surface which penetrates further downward, as shown in <ref type="bibr">Albers et al. (2018;</ref><ref type="bibr">their Fig. 2</ref>). <ref type="bibr">Shapiro (1980)</ref> also discussed how ozone associated with a tropopause fold in March 1978 reached farther into the troposphere than the dynamic tropopause, indicative of cross-isentropic mixing. <ref type="bibr">Knowland et al. (2017)</ref> examined cross sections of two stratospheric intrusions that led to enhanced surface ozone concentrations in Colorado in spring 2012 and showed that the dynamic tropopause only reached to the mid-troposphere, with only small filaments of the intrusion reaching deeper than 500 hPa, while high stratospheric-ozone values extended to the surface. For these reasons, we believe that tracking when the dynamic tropopause is deeper than 400 hPa captures the structures often associated with transport deep into the troposphere. This is confirmed by the strong relationship between STT-PBL and the fold characteristics discussed in Sect. 3.3. Changes in these measures of fold depth, size, and frequency will be evaluated during the phases of the spring transition, as well as during El Ni&#241;o, La Ni&#241;a, and ENSO-neutral conditions.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2">Post-processing and diagnostics</head><p>We use the leading empirical orthogonal function (EOF1) and principal component (PC1) time series of the daily mean 200 hPa zonal wind over the North Pacific basin (100-280 &#8226; E, 10-70 &#8226; N), smoothed with a 5 d running mean, to track the seasonal evolution of the jet. Zonal wind anomalies used for EOF analysis were calculated with respect to the February-June 1958-2017 average using JRA-55 reanalysis (black contours, Fig. <ref type="figure">1a</ref>), with the resultant anomalies intentionally including changes associated with the seasonal cycle (in contrast to the more canonical approach, in which the seasonal cycle is removed). To be consistent with the STT-PBL and tropopause fold datasets, which are based upon ERA-Interim reanalysis <ref type="bibr">(Sprenger et al., 2017)</ref>, we recomputed the 200 hPa zonal wind EOFs in the same manner using ERA-Interim 200 hPa zonal wind (the correlation between PC1 using JRA55 and ERA-Interim for their common period, 1979-2017, is 0.99).</p><p>For a measure of the eddy characteristics and horizontal Rossby wave energy propagation during various phases of the spring transition, the horizontal E vector (Eq. 1; <ref type="bibr">Hoskins et al., 1983)</ref> was calculated using daily zonal and meridional wind anomalies that have (a) the 60-year daily climatology and (b) the 11 d running mean removed. Regions where E points eastward (westward) are characterized by meridion- ally (zonally) elongated eddies (Fig. <ref type="figure">S2</ref>). Negatively tilted anomalies, indicative of cyclonic wave breaking, correspond to a northward-pointed E and energy propagation, while positively tilted anomalies indicate anticyclonic wave breaking and correspond to southward-pointed E and energy propagation.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3">Significance testing</head><p>For a measure of confidence in the differences in fold characteristics and STT-PBL during different jet phases and ENSO conditions, mean values were bootstrapped using a sample size N eff = N/t autocorr , where t autocorr is the number of time steps at which the autocorrelation of the variables decreases to below 0.5 and N represents the number of samples in the smallest group being compared. For example, when comparing STT-PBL over North America during May El Ni&#241;o, La Ni&#241;a, and ENSO-neutral conditions, with corresponding samples sizes (N) equal to 20, 9, and 7 years, respectively, STT-PBL for the three groups is resampled using N = 7 years &#215; 124 time steps/year = 868 time steps and t autocorr = 6 time steps (36 h), which equates to N eff = 144 time steps. To fairly compare the confidence intervals for each ENSO group, every group was resampled using the reduced sample size N eff to calculate a new mean STT-PBL value. This process was repeated 10 000 times to determine the 95th and 5th percentiles of the mean value for each group.</p><p>A similar approach was applied to each variable considered.</p><p>3 Results</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1">Characteristics of the spring North Pacific jet transition</head><p>The leading EOF pattern of 200 hPa zonal wind tracks the seasonal evolution of the North Pacific jet from February through June each year (Fig. <ref type="figure">1</ref>). A positive PC1 value represents the stronger wintertime state (Fig. <ref type="figure">1a</ref>), which gradually weakens on average from about March through June, as shown by the transition of PC1 from positive to negative each year (Fig. <ref type="figure">1b</ref>). There is greater spread among the PCs of individual years during February, March, and April than there is during May and June, indicating the transition from winter to spring is more variable than the transition from spring to summer. The composite zonal wind on days when PC1 &gt; 1&#963; , hereafter referred to as the winter phase, most often occurring in February-March, is characterized by a strong jet extending well past the date line (Fig. <ref type="figure">2a</ref>). During the winter phase, high-frequency eddy kinetic energy (EKE) is greatest in the jet exit region in the central Pacific, representing the wintertime Pacific storm track and tendency for eddies to amplify via deformation in the jet exit region <ref type="bibr">(Rivi&#232;re and Joly, 2006;</ref><ref type="bibr">Breeden and Martin, 2018)</ref>. The prevalence of equatorward-pointed E, signifying positively tilted waves, over North America is consistent with the frequency of positively tilted troughs and ridges identified during boreal winter by <ref type="bibr">Schemm and Sprenger (2020)</ref>.</p><p>As PC1 decreases to values between &#177;5&#963; , which we define as the transition phase, the jet core weakens substantially, while the jet exit region shifts northward (Fig. <ref type="figure">2b</ref>). The storm track is more energetic throughout the Pacific-North American region compared to the winter phase and shifts northward with the jet exit region. In the east Pacific, a distinct secondary jet maximum develops near Hawaii in the subtropics, creating a double-jet structure in the Pacific Basin which differs substantially from the strong, merged wintertime jet. The formation of this secondary zonal wind maximum was also observed to develop in April by <ref type="bibr">Newman and Sardeshmukh (1998)</ref>. The magnitude of E increases during the transition phase, with meridionally elongated, positively tilted waves dominating the structure in the midlatitude Pacific. Such characteristics are related to frequent anticyclonic Rossby wave breaking associated with the formation of the two jet maxima <ref type="bibr">(Peters and Waugh, 2003;</ref><ref type="bibr">Pan et al., 2009;</ref><ref type="bibr">Breeden and Martin, 2018)</ref> observed in the transition phase. A distinct region of nearly zonal E is observed over the eastern Pacific or western US, indicating waves in this region are more amplified meridionally compared to when the jet occupies the winter phase. Zonal wind, EKE, and eddy amplitude proceed to weaken by late spring or early summer, when PC1 &lt; -1&#963; , hereafter referred to as the summer phase (Fig. <ref type="figure">2c</ref>), with the subtropical jet in the eastern Pacific essentially disappearing altogether. Over the western US, eddies are still meridionally amplified but less so than during the transition phase, characteristic of the weakened storm track.</p><p>To examine the variability in the spring transition, we tracked the date on which PC1 dropped below +5&#963; and remained below that value for the remainder of the season. We target this transition in particular given the high variability of PC1 early in the season and the marked invigoration of the storm track associated with PC1 decreasing from strongly positive to neutral. The mean transition date over the 60year record is 4 April, with a standard deviation of &#177; 12 d. To test if there are dynamic differences in the transition if it occurs earlier or later than normal, we grouped each spring into early, neutral, and late transition years, requiring early (late) transition years to have a transition date at least 5 d earlier (later) than the 60-year average (Table <ref type="table">1</ref>). The average timing of the transition for the three groups differs by about 2 weeks, with the early group transitioning on average in mid-March, the late group in mid-April. Comparing the composite February-June evolution of PC1 for the early and late groups (the neutral transition years fall in-between), PC1 in the early group begins to decrease near the beginning of March, although these differences are not significant until later in the month (Fig. <ref type="figure">3</ref>). During April, the late group PC1 value is roughly 5&#963; higher than the early group, with an average zonal wind difference of 10 m s -1 within the jet core, while by May the two groups are indistinguishable from one another. This indicates that an early winter-to-spring transition is not associated with an early spring-to-summer tran-Table <ref type="table">1</ref>. Years when the jet transitioned early, on time, or late, relative to the mean transition date of 3 April. Italic (bold) text denotes years when La Ni&#241;a (El Ni&#241;o) conditions were observed the month of the transition date.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Early transition years mean transition date: 21 March</head><p>On time transition years mean transition date: 3 April 3 sition, with PC1 decreasing below -5&#963; in mid-May for all transition groups. To test whether early transitions are more abrupt (and therefore more dynamically disruptive) than later transitions, we compared the composite evolution of PC1 with respect to each year's transition date and did not find any significant differences in the vigor of the transition (Fig. <ref type="figure">S3</ref>).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2">Relationship between the spring transition and STT-PBL</head><p>This section will show how the spring transition modulates STT-PBL over western North America. We find that earlier transitions enhance the amount of the time the jet occupies its transitional phase, corresponding to a more invigorated storm track, more folds, and therefore more STT-PBL than later transitions. Early in the season, deeper folds enhance STT-PBL, while later in the season more expansive folds enhance STT-PBL. STT-PBL is modulated by the phase of the jet and corresponding invigoration of the storm track (Fig. <ref type="figure">4</ref>). Transport increases by roughly threefold when the jet is in its transition phase, compared to the composite STT-PBL during both the winter and summer phases. STT-PBL was averaged over western North America (box in Fig. <ref type="figure">4b</ref>) for each day in the record and subsequently binned by PC1, confirming STT-PBL is strongest when the jet is closer to its transitional phase than at either extremity (Figs. <ref type="figure">5a,</ref><ref type="figure">S4</ref>). Both the highest STT-PBL days in the record and the highest median STT-PBL values occur during the transition phase, while the distributions during the winter and summer phases are indistinguishable from one another (Fig. <ref type="figure">5a</ref>). Consistent with the STT-PBL changes, tropopause folds reach farthest into the troposphere during the transition phase, on average to 450 hPa, in contrast to median values near 400 hPa during the winter phase and 300 hPa during the summer phase (Fig. <ref type="figure">5b</ref>). During the winter phase, shallow (&lt; 300 hPa) and deep (&gt; 400 hPa) folds are equally likely, reflecting high wintertime jet variability <ref type="bibr">(Athanasiadis et al., 2010)</ref>, while deep folds are more frequent than shallow folds during the transition phase. Shallow folds are overwhelmingly more likely during the summer phase, which might be related to the weaker jet and associated ageostrophic circulation during summer. Thus, while the STT-PBL distributions during the winter and summer phases are indistinguishable from one another, the fold depth distributions differ substantially.</p><p>In addition to changes in tropopause fold depth during the spring transition, the daytime PBL height in the interior west increases dramatically, meaning shallower folds can reach the top of the boundary layer. Consistent with the STT data, 6 h forecasts of PBL height valid at 18:00 UTC were aver- aged over western North America and grouped by jet phase (Fig. <ref type="figure">5c</ref>), confirming the PBL deepens as the jet transitions. Thus, while folds deeper than 500 hPa still occur somewhat frequently during the winter phase, the PBL is far lower, meaning a smaller subset of folds is deep enough to penetrate the boundary layer compared to the transition phase. Conversely, when the jet occupies the summer phase, despite a very deep boundary layer, there is limited transport due to a relative lack of intrusions deeper than 350 hPa. The transition phase is associated with higher STT-PBL through the coincidence of both more frequent deep tropopause folds and a deepening PBL. We note that STT-PBL can be displaced spatially from the position of the tropopause-level folds measured here and can be aided by lower-tropospheric vertical motions such as those occurring around frontal zones and convection <ref type="bibr">(&#352;kerlak et al., 2019, their Fig. 1)</ref>.</p><p>Reconsidering the eddy characteristics associated with the three jet phases (Fig. <ref type="figure">2</ref>), it appears that tropopause folds deep enough to produce STT-PBL occur most often when waves are highly amplified and the storm track is most energetic. Highly amplified Rossby waves are associated with strong curvature, particularly on the western edge of troughs,  <ref type="table">1</ref>), labeled "Before", and the 2 weeks following the transition date, days 0 to +14, labeled "After".</p><p>producing the subsidence that forms deep tropopause folds and STT-PBL (e.g., <ref type="bibr">Sprenger et al., 2007)</ref>. Amplified waves propagating over western North America, which occur most often during the transition phase, bring more folds over the high terrain of the Rocky Mountains as the PBL deepens, leading to the STT-PBL maximum observed in boreal spring.</p><p>Given the longer period of time the jet is within its transition phase (when PC1 &#177; 0.5&#963; ), hereafter referred to as the residence time, (Fig. <ref type="figure">3</ref>), we hypothesize that early transition years are characterized by more STT-PBL than late transition years. To that end, we compared monthly mean STT-PBL for the early and late transition groups, revealing there is indeed more STT-PBL during early transition years in March, April and May, coinciding with more frequent folds deeper than 400 hPa (Fig. <ref type="figure">6a-b</ref>). In February and March, folds are deeper and larger in early transition years as well, while in later months folds are larger but not deeper (Fig. <ref type="figure">6c-d</ref>). The residence time of the jet is much greater during early years by definition, and monthly mean EKE over the North Pacific (180-250 &#8226; E, 40-60 &#8226; N; box in Fig. <ref type="figure">S6</ref>) is greater in April during early years (Fig. <ref type="figure">6e-f</ref>). Compositing each variable with respect to each year's transition date reveals an upward shift in STT-PBL in the 2 weeks following the transition in both groups, coincident with a marked increase in tropopause folds, residence time, and EKE (Fig. <ref type="figure">6g,</ref><ref type="figure">h,</ref><ref type="figure">k,</ref><ref type="figure">l</ref>). Fold depth and area, conversely, are not systematically affected by the transition (Fig. <ref type="figure">6i,</ref><ref type="figure">j</ref>).</p><p>The relationship between STT-PBL and each related but distinct fold characteristic -maximum depth, fold area, and frequency -evolves over the course of the spring transition. This is evident from time series of the correlation between monthly mean STT-PBL, February-June, with each fold characteristic, residence time of the jet, and median PBL height (Fig. <ref type="figure">7</ref>; Fig. <ref type="figure">S4</ref>). During February and March, STT-PBL has the strongest correlation with fold depth and frequency, consistent with intuition. In April, however, the relationship between STT-PBL and fold depth diminishes, while fold frequency maintains a strong relationship with transport through June. In contrast to fold depth, the relationship be- tween fold size and STT-PBL is strongest in May, when it has the second-strongest relationship after frequency. A longer residence time of the jet within the transition phase enhances STT-PBL in March and February, a relationship which disappears later in spring, in part because PC1 continues decreasing towards its summertime state. Daytime PBL height and STT-PBL are modestly correlated in February and March, with no relationship in later months when the daytime PBL has deepened to several kilometers and appears to no longer be the limiting factor for deep transport (Fig. <ref type="figure">5c</ref>; <ref type="bibr">Seidel et al., 2012;</ref><ref type="bibr">Langford et al., 2017)</ref>. Since fold frequency maintains a strong relationship with STT-PBL throughout the transition, we correlated fold frequency to EKE, confirming that a more energetic storm track is associated with more folds and supporting the relationship between storm track variability, folds, and STT-PBL. The correlation drops off by May, however, for reasons which are not immediately clear but might reflect the more convective nature of transport during this time of year, which can be important for transport to the surface <ref type="bibr">(Langford et al., 2017;</ref><ref type="bibr">&#352;kerlak et al., 2019)</ref>. Overall, fold frequency maintains the strongest relationship with STT-PBL throughout the transition, while fold depth and area also affect STT-PBL early and late in the transition, respectively.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3">Impact of ENSO on the spring transition and STT-PBL</head><p>What drives the substantial variability in the timing of the spring transition (Fig. <ref type="figure">3</ref>)? While prior research has alluded to a connection between ENSO and STT-PBL, the precise nature of the ENSO-fold-STT relationship during boreal spring is not fully understood. Here we demonstrate that ENSO conditions do influence the jet, tropopause fold characteristics, and STT-PBL and that this influence evolves throughout the spring transition. ENSO markedly affects the jet from February-April, with La Ni&#241;a conditions corresponding to a much lower PC1 value than neutral or El Ni&#241;o conditions, while in May and June the differences are weaker (Fig. <ref type="figure">8</ref>). There is some asymmetry in the PC1 response, with La Ni&#241;a weakening the jet more substantially than El Ni&#241;o strengthens it. Given the positive relationship between STT-PBL and residence time of the jet, we hypothesize that La Ni&#241;a conditions are associated with enhanced STT-PBL, which is broadly confirmed in Figs. 9-10 and is consistent with the conclusions of <ref type="bibr">Lin et al. (2015)</ref>. In February and March, El Ni&#241;o conditions are associated with a zonally extended jet that connects to the jet over North America, while the jet is zonally confined to the central Pacific during La Ni&#241;a (Fig. <ref type="figure">9a-f</ref>). STT-PBL is overall weak in February but is strongest during La Ni&#241;a years, consistent with the most neutral PC1 value. STT-PBL increases in all three ENSO groups during March, as PC1 values decrease. Note that the jet has already transitioned during many of the La Ni&#241;a and some of the ENSO-neutral years (Table <ref type="table">1</ref>). In April, the jet transition is either underway or has already occurred, and correspondingly STT-PBL peaks for the El Ni&#241;o and ENSO-neutral groups and remains elevated for La Ni&#241;a <ref type="bibr">10a)</ref>. During May and June, STT-PBL remains elevated during La Ni&#241;a years, although the difference compared to ENSO-neutral is somewhat uncertain with the number of samples available (Figs. <ref type="figure">9j-o, 10a</ref>). The (presumably eddy-driven) jet core in the western Pacific is stronger during La Ni&#241;a years, reflecting an increase in storm track activity compared to neutral and El Ni&#241;o conditions coincident with a more negative PC1 value (Figs. <ref type="figure">10f,</ref><ref type="figure">S6</ref>).</p><p>Which of the various tropopause fold characteristics explored in the prior section do ENSO conditions affect? Just as the influence of ENSO on PC1 evolves over the course of the transition, so too does the influence of ENSO on tropopause folds. During February and March, La Ni&#241;a conditions are characterized by significantly deeper and more frequent folds, driving an increase in STT-PBL (Fig. <ref type="figure">10ac</ref>). Folds are also larger, particularly in May when the relationship between fold area and STT-PBL is the strongest (Fig. <ref type="figure">10d</ref>). While STT-PBL during April is similar in all three groups, folds are still more frequent and potentially deeper during La Ni&#241;a (Fig. <ref type="figure">10b-c</ref>). STT-PBL is elevated during La Ni&#241;a in May, when folds are more common and larger in areal extent. Mean fold depth, in contrast to fold size, is insensitive to ENSO phase in May and June. Finally, the residence time of the jet within its transition phase is significantly enhanced in February and March (as suggested in Fig. <ref type="figure">8</ref>), while it is reduced in May when PC1 is more negative (Figs. <ref type="figure">10e,</ref><ref type="figure">9l</ref>). EKE during La Ni&#241;a is most enhanced in April, similar to the early transition years (Figs. <ref type="figure">10f,</ref><ref type="figure">6f</ref>), due to the notable increase in EKE following the transition (Fig. <ref type="figure">10l,</ref><ref type="figure">6l</ref>). The E-vector differences indicate more amplified and positively tilted waves during La Ni&#241;a, reflecting the enhanced anticyclonic Rossby wave breaking occurring during this phase (Fig. <ref type="figure">S6</ref>). Note that during May, EKE is enhanced during La Ni&#241;a in a smaller region over the eastern Pacific (Fig. <ref type="figure">S6d</ref>), accompanied by a more zonal E vector, consistent with elevated STT-PBL observed in Fig. <ref type="figure">10a</ref> but not reflected in Fig. <ref type="figure">10f</ref>. In summary, in late winter or early spring, the teleconnection to the extratropics during La Ni&#241;a projects onto the seasonal transition of the jet represented by PC1, often expediting the transition. This large-scale modulation, in turn, enhances the depth of tropopause folds and fold frequency over western North America, enhancing STT-PBL. In May, La Ni&#241;a conditions continue to increase the frequency and size of folds and therefore STT-PBL, also through invigoration of the storm track as in February and March (Fig. <ref type="figure">S6</ref>). An opposite response is observed during El Ni&#241;o conditions.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4">Discussion and conclusions</head><p>The present study seeks to further clarify the relationship between the North Pacific jet, tropopause folds, and deep mass transport and how these connections evolve from February-June over the western United States using JRA-55 and ERA-Interim reanalysis. The leading EOF and corresponding PC of 200 hPa zonal wind are demonstrated to track the winterto-summer jet evolution. The nature of this transition is consistent with previous studies of the annual cycle of the jet <ref type="bibr">(Newman and Sardeshmukh, 1998)</ref> and the associated changes in the storm track <ref type="bibr">(Nakamura, 1992;</ref><ref type="bibr">Hoskins and Hodges, 2019)</ref>. We find that the spring jet transition modulates folds and STT-PBL and that the timing of the transition varies from mid-March to late April. In February and March, early transitions lead to enhanced STT-PBL through an increase in the depth and frequency of tropopause folds over western North America. Conversely, late transitions are characterized by shallower, less frequent folds and weaker STT-PBL. Early transitions preferentially occur during La Ni&#241;a conditions, while there is a weaker but still notable link between El Ni&#241;o conditions and late transitions. In February and March, La Ni&#241;a conditions enhance STT-PBL through an increase in fold depth and frequency, while in May, STT-PBL is greater through an increase in fold size and frequency.</p><p>The peak in STT-PBL during boreal spring over western North America found by previous studies occurs through the simultaneous occurrence of the dynamic North Pacific jet transition and seasonal deepening of the PBL. The highly amplified flow observed during the spring transition increases the frequency of deep stratospheric intrusions, as the PBL deepens due to enhanced solar heating, strengthening STT-PBL. The association between more STT-PBL and highly amplified flow found here is consistent with case studies of notable stratospheric-ozone intrusion events over the western US <ref type="bibr">(Langford et al., 2009;</ref><ref type="bibr">Lin et al., 2015;</ref><ref type="bibr">Knowland et al., 2017)</ref> and the established role of Rossby wave breaking in facilitating STT <ref type="bibr">(Homeyer and Bowman, 2013)</ref>. The zonal wind anomalies associated with the transitional phase also resemble the April-May zonal wind anomalies found during years with the greatest mixing ratios of ozone observed in stratospheric intrusions <ref type="bibr">(Albers et al., 2018)</ref>. The present analysis offers a simple metric to track such jet variability and situates it within the context of the seasonal transition.</p><p>Our results are consistent with the differences in STT-PBL of ozone observed between ENSO phase during April-May over western North America by <ref type="bibr">Lin et al. (2015)</ref>. This is notable because we only consider mass transport without measuring how the ozone concentrations within folds vary between ENSO, which can be quite substantial <ref type="bibr">(Garc&#237;a-Herrera 2006;</ref><ref type="bibr">Neu et al., 2014;</ref><ref type="bibr">Albers et al., 2018)</ref>. The influence of ENSO on the ozone reservoir opposes the effect of ENSO on folds -namely, La Ni&#241;a (El Ni&#241;o) conditions reduce (enhance) extratropical lower stratospheric-ozone concentrations, by modification of the Brewer-Dobson Circulation <ref type="bibr">(Neu et al., 2014;</ref><ref type="bibr">Albers et al., 2018)</ref>. As such, from our results which focus on tropopause fold changes, but not stratospheric-ozone changes associated with ENSO, it is dif-ficult to draw conclusions about deep ozone transport and ENSO from this study, while deep mass transport is clearly modified. Finally, we note that STT-PBL does not necessarily guarantee the transport of ozone or mass all the way to the surface, which can be strongly influenced by PBL dynamics and ageostrophic circulations around low-level frontal zones <ref type="bibr">(&#352;kerlak et al., 2019)</ref>.</p><p>This study took advantage of recently developed products specifically targeted at understanding STT-PBL using ERA-Interim reanalysis fields <ref type="bibr">(Sprenger et al., 2007</ref><ref type="bibr">(Sprenger et al., , 2017;;</ref><ref type="bibr">Dee et al., 2011;</ref><ref type="bibr">&#352;kerlak et al., 2014)</ref>. We note that, as a consequence, our results concerning STT-PBL are limited to the ERA-Interim record and the frequency of ENSO events within the 1980-2016 period (excluding Sect. 3.1 and Fig. <ref type="figure">8</ref>, which used the 60-year JRA-55 reanalysis record). To minimize the possibility of overstating subsequent conclusions regarding folds and STT-PBL, we have applied rather strict significance testing to account for sampling and autocorrelation, confirming that the differences we have highlighted are frequently statistically significant. Future work could employ model simulations using many ensembles to increase the sample size of early or late transition years and ENSO events to revisit the connections found in this study. Finally, different flavors of ENSO events (i.e., east-and central-Pacific El Ni&#241;o events) and their influence on the jet and STT-PBL, could be explored in future work.</p></div><note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_0"><p>https://doi.org/10.5194/acp-21-2781-2021 Atmos. Chem. Phys., 21, 2781-2794, 2021</p></note>
			<note xmlns="http://www.tei-c.org/ns/1.0" place="foot" xml:id="foot_1"><p>Atmos. Chem. Phys., 21, 2781-2794, 2021 https://doi.org/10.5194/acp-21-2781-2021</p></note>
		</body>
		</text>
</TEI>
