1. Introduction
Warm season (April–September) precipitation in the Great Plains is highly variable from year to year (e.g., Ferguson et al. 2018; Christian et al. 2015) and not always predictable (e.g., Hoerling et al. 2014). The lack of predictability is concerning because the region accounts for a large fraction of U.S. agricultural (e.g., Basara et al. 2013; Melillo et al. 2014) and wind energy (AWEA 2020) production. Historically, several potential sources of precipitation predictability at seasonal to decadal time scales have been investigated, including internal atmospheric variability (e.g., Hoerling et al. 2014), eastward-propagating short waves over North America (e.g., Wang et al. 2013; Jiang et al. 2006), the circumglobal teleconnection (CGT; e.g., Ding and Wang 2005), ridge building and concomitant surface temperature anomalies over the western United States (e.g., Xue et al. 2012, 2016, 2018), Pacific and Atlantic SST teleconnections (e.g., Trenberth et al. 1988; Yang et al. 2007; Hoerling et al. 2009; Mo et al. 2009; H. Wang et al. 2010; Hu et al. 2011; Dai 2013; Kam et al. 2014), and the East Asia–Pacific–North America teleconnection (e.g., Lau and Weng 2002; Lau et al. 2004; Li et al. 2005; Zhu and Li 2016). To the extent that nearly 70% of summer atmospheric moisture influx and more than half of summer precipitation is associated with Great Plains southerly low-level jets (LLJs; e.g., Bonner 1968; Whiteman et al. 1997; Algarra et al. 2019), the correlation between these aforementioned mechanisms and LLJ frequency and intensity accounts for a large portion of the explained variance in precipitation. LLJ frequency and intensity, measured by 850-hPa wind speed, have been shown to be influenced by El Niño–Southern Oscillation (ENSO) and the Pacific–North American pattern teleconnection (e.g., Krishnamurthy et al. 2015; Liang et al. 2015; Danco and Martin 2018; Malloy and Kirtman 2020), Pacific and Atlantic SST anomalies and the North Atlantic Oscillation (NAO; e.g., Weaver and Nigam 2008; Weaver et al. 2009; Yu et al. 2015), and the CGT (e.g., Wang et al. 2013; Yu et al. 2015). Seasonal drought and pluvial event evolution on the Great Plains is affected directly by LLJ associated precipitation and indirectly by both LLJ precipitation and frequency via their effect on regional precipitation recycling (e.g., Beljaars et al. 1996; Dirmeyer and Brubaker 1999; Schubert et al. 2004; Dirmeyer and Kinter 2009; Basara et al. 2013). Consequently, LLJ and precipitation predictability are tightly linked.
Recent studies have established that LLJ moisture transport, vertical wind shear, and precipitation all significantly vary between jets that are strongly versus weakly dynamically coupled to the upper-level jet stream (Burrows et al. 2019, 2020). Coupled LLJs, associated with upstream troughs (i.e., cyclonic wave activity) and greater atmospheric instability, are more intense and result in greater precipitation accumulations than uncoupled LLJs that occur with a ridge aloft (i.e., anticyclonic wave activity) and relatively less upper-level forcing (e.g., Burrows et al. 2019, 2020). It may also be observed that the change in sign of the correlation between central tropical Pacific SST and LLJ frequency from negative in April–May to positive in June–September (e.g., Krishnamurthy et al. 2015; Danco and Martin 2018) coincides with a shift in most likely LLJ class from coupled in May to uncoupled in June (Burrows et al. 2019, their Fig. 7). Taken together, these new findings beg the question: What new insights into Great Plains LLJ and precipitation predictability sources can be gained if we partition the analyses by LLJ dynamical class?
This study presents the first detailed investigation of May 1901–2010 LLJ interannual variability in the context of LLJ dynamical coupling. The primary objective of the study is to bring to light robust teleconnections that govern May coupled and uncoupled Great Plains LLJ frequencies, and thereby to provide a new perspective on the predictability of LLJ-related precipitation in the Great Plains. The central Great Plains receives its maximum rainfall in May and during this period is a net sink for atmospheric moisture (Wang and Chen 2009). May soil moisture estimates are of great value to agriculture because they inform farmers about mean soil moisture state at the start of the growing season, as well as when planting is feasible. Previous studies have linked May soil moisture to subsequent summer precipitation (e.g., Meng and Quiring 2010). Ferguson and Wood (2011) showed a climatological tendency for local convection over wet soils, or regional precipitation recycling, in the Great Plains. Similarly, Cattiaux and Yiou (2013) demonstrated the contribution of the May precipitation deficit to the intensity of the ensuing summer drought in 2012.
The benefit of investigating teleconnection influence and seasonal forecast potential for LLJ class frequencies is that these more generic forecasts can likely be more skillful than those of precipitation and temperature themselves (e.g., Lavers et al. 2009; van den Hurk et al. 2012). Whereas previous studies tended to focus on June–August, focus is placed on May here because LLJs in this month tend to be more exposed to midlatitude teleconnections through the upper-level jet stream before the jet stream shifts poleward with the onset of summer and development of a ridge over the southern Great Plains. If frequencies of coupled and uncoupled LLJs and the positioning of their associated moisture convergence zones could be forecasted with any lead time, it would provide valuable information to the region’s water resource managers and decision-makers.
In this work, we apply LLJ detection and dynamical LLJ classification algorithms to the new European Centre for Medium-Range Weather Forecast’s twentieth-century coupled climate reanalysis (CERA-20C; Laloyaux et al. 2018) 10-member, 110-yr (1901–2010) reanalysis in order to analyze the interannual- to decadal-scale variability of May uncoupled and coupled LLJs and teleconnections that govern their variability. Through detailed analyses of each jet class separately, and jointly in the context of atmospheric, Pacific, and Atlantic teleconnections, we are able to offer a novel perspective on each jet class’s variability and potential predictability. Section 2 summarizes the data, spectral analysis method, LLJ detection and classification methods, and climate indices applied. Section 3 presents results on LLJ variability, major teleconnection influences, and a dynamical explanation of LLJ class variability, followed by a summary and discussion in section 4.
2. Data and methodology
a. CERA-20C
The CERA-20C 10-member ensemble reanalysis is produced using the Integrated Forecast System (IFS) version CY41R2, which comprises coupled atmospheric, land, ocean, wave, and sea ice model components. Its SSTs are nudged toward the monthly HadISST2 product (Titchner and Rayner 2014) to reduce model errors and yet allow for coupled process feedbacks. CERA-20C’s slab-ocean model assimilates observed subsurface temperature and salinity profiles from the Met Office Hadley Centre EN4.0.2 dataset (Good et al. 2013). CERA-20C assimilates quality-controlled surface pressure and marine wind observations from the International Surface Pressure Databank (ISPDv3.2.6; Cram et al. 2015) and International Comprehensive Ocean–Atmosphere Data Set (ICOADSv2.5.1; Woodruff et al. 2011). CERA-20C incorporates CMIP5 atmospheric forcing data (i.e., solar forcing, greenhouse gases, ozone, and aerosols) to better capture twentieth-century climate trends. Upper-air (i.e., radiosonde) and modern-era satellite observations (post-1979) are not assimilated into CERA-20C to avoid spurious artificial trends that can be introduced due to changes in the underlying observational network (Thorne and Vose 2010). The land, wave, and sea ice components do not assimilate any observations but are constrained by the dynamical coupling of the models.
CERA-20C has a spatial resolution of 125 km in the horizontal and 91 levels in the vertical dimension, from the surface to the 0.01-hPa level. All CERA-20C fields are available at 3-hourly temporal resolution. In this work, we have used the following CERA-20C 10-member ensemble mean fields: 0600 UTC 250-, 500-, and 850-hPa geopotential heights (Z250, Z500, and Z850); 0600 UTC 250-, 700-, and 850-hPa meridional winds (V250, V700, and V850); daily mean 2-m air temperature (T-2m), sea level pressure (SLP), and SST; and 1800 UTC (day 0) to 1759 UTC (day 1) accumulated precipitation. Wherever monthly means are presented, they are the means of these fields. For all climate indices, 1901–2010 is used to compute the climate normal unless otherwise specified.
Parallel analyses are conducted on the 80-member ensemble mean of the more recently released NOAA–CIRES–DOE Twentieth Century Reanalysis version 3 (CRv3; Slivinski et al. 2019; Compo et al. 2011). CRv3 is available for a relatively longer time period of 1836–2015, at a global 1° × 1° spatial resolution, with 28 vertical pressure levels, and 3-hourly temporal resolution. To streamline the presentation of findings, CRv3 results are only mentioned selectively, when doing so benefits the discussion of CERA-20C based findings.
b. Multichannel singular spectrum analysis
The interannual variability in low-level meridional winds over the continental United States is analyzed using a spectral technique called multichannel singular spectrum analysis (MSSA; Ghil et al. 2002), which is an extension of EOF analysis. MSSA gives the spatial and temporal structure of the oscillatory modes in a time-varying gridded dataset. Previously, MSSA has been used to identify the periodicity of oscillations in zonal winds, geopotential height, SSTs, and precipitation data (e.g., Plaut and Vautard 1994; Keenlyside et al. 2007; Krishnamurthy and Misra 2010; Karmakar et al. 2017; Agrawal et al. 2019). In this work, MSSA is used to identify significant oscillatory modes in monthly V850 anomalies for April–September during the 1901–2010 period, over the region 20°–60°N, 150°–40°W (3528 grids). Monthly V850 anomalies are calculated by subtracting the 110-yr mean and detrending the time series at each grid over the region. These V850 anomaly data consist of multiple time series (each of the same length N; N = 110 years) on a grid or map, where each grid within the domain constitutes one channel for the MSSA algorithm. A preliminary principal component analysis is performed on this data to reduce the number of channels from 3528 (total grids) to 50 and, consequently, the computational time. These 50 channels explain more than 95% of the monthly V850 variance. MSSA is then applied to this extracted data of dimension 100 × 50 for each month (April–September) separately, using a window length of 8 years, which is suitable to resolve time scales between 2 and 8 years (Plaut and Vautard 1994). Note that window lengths between 5 and 8 years yielded similar estimates of 2–6-yr time scale variances in May V850: the first four significant modes of oscillations are centered at the 3–4-yr time period, with similar variances.
MSSA output consists of space–time EOFs and principal components that describe the spatial structure and periodicity of the oscillatory modes in V850. A significance test of the eigenmodes against 1000 red noise surrogates was carried out to identify statistically significant oscillatory modes (e.g., Allen and Robertson 1996; Ghil et al. 2002). The reconstructed 2–6-yr variability mode is obtained by convolving all the significant space–time EOFs with corresponding space–time principal components that have periodicity between 2 and 6 years, and then adding them together. The original data (V850) and the reconstructed data (2–6-yr variability mode) both have the same length and units. A detailed discussion about MSSA can be found in Karmakar et al. (2017) and the references therein.
c. LLJ detection and classification
The Great Plains LLJ intensity peaks around midnight (0600–0900 UTC; e.g., Parish 2017; Burrows et al. 2019), with maximum wind speeds at approximately 850 hPa and a strong shear profile in the vertical direction up to 700 hPa (e.g., Bonner 1968; Whiteman et al. 1997). Based in part on the prior LLJ detection frameworks of Montini et al. (2019) and Tang et al. (2016), the 75th percentiles of 0600 UTC V850 and V850-V700 wind shear in all May months from 1901 to 2010 are applied in LLJ detection. Specifically, a day is classified as a LLJ day if the 0600 UTC V850 and V850-V700 shear both exceed their respective 75th percentiles at 10% or more of the (1.25° × 1.25°) grids in the U.S. south-central plains (SCP; 30°–42°N, 102°–92°W). The same method is applied to all warm season months (i.e., April–September) using their respective 1901–2010 monthly climatological 75th percentiles. The SCP region is used for detection because it encompasses the core of the climatological wind speed maximum associated with Great Plains LLJs.
Once detected, LLJ days are objectively classified into one of two dynamical classes (coupled and uncoupled) based on 0600 UTC 500-hPa local wave activity (LWA; Chen et al. 2015; Huang and Nakamura 2016). LWA quantifies the waviness in the meandering geopotential contours and can be expressed as the sum of cyclonic wave activity (CWA; trough) and anticyclonic wave (AWA; ridge) activity. LWA, CWA, and AWA are calculated from the 500-hPa geopotential height fields following the methodology of Burrows et al. (2019). Jet coupling in the SCP is evaluated on the basis of CWA in an upstream detection region located in the western United States (30°–42°N, 120°–102°W). In order for a LLJ day to be classified as a coupled LLJ (referred to herein as LLJC) at least one-third of the detection region’s grids must have CWA values that exceed the region’s 66th percentile of grid-scale May 1901–2010 CWA. Otherwise, the LLJ day is classified as an uncoupled LLJ (referred to herein as LLJUC). LLJUC days are characterized by the presence of either a ridge over the SCP or a zonal upper-level circulation over the contiguous United States. The 66th percentile of CWA is chosen because it resulted in the best agreement between automated and visual map diagnosis of jet coupling in five randomly selected years. The CWA detection region is sized to match the meridional extent of SCP and cover the western U.S. region associated with substantial cyclonic wave activity in May. Burrows et al. (2019) applied a similarly positioned and sized CWA detection region.
The LLJ classification is not sensitive to small (±5°) zonal or meridional shifts in the placement of the CWA detection region, but is sensitive to changes in the CWA percentile threshold. For example, a change of ±5% in the CWA percentile threshold leads to a ~10% change in the number of LLJC. The higher the CWA percentile chosen for the detection threshold, the fewer jets that are classified as LLJC. The classification is equally well suited for April dynamical jet classification based on limited sample visual assessments. For June–September LLJs, however, users are encouraged to apply the two-pass approach of Burrows et al. (2019) that uses both local AWA and upstream CWA.
d. Composite analyses
We analyze the difference in mean meteorological fields between Mays with a higher number of LLJC (LLJUC) and Mays with a lower number of LLJC (LLJUC) in order to identify large-scale circulation or teleconnection patterns that could explain these frequency differences. Mean composite differences are computed by subtracting the mean of the lower quartile (Q1; i.e., 0th–25th percentiles) LLJ frequency years from the mean of upper quartile (Q4; i.e., 75th–100th percentiles) LLJ frequency years, based on the May frequency of LLJC (referred to as Q4 − Q1 LLJC) and LLJUC (referred to as Q4 − Q1 LLJUC). Table 1 lists the years that constitute the upper and lower quartile years of LLJC and LLJUC; each quartile comprises 28 years. Significance of the composite differences are tested at the α = 0.1 level using 10 000 bootstrapped samples. In order for a gridpoint difference to be significant, the bootstrapped 5th–95th-percentile range must not include zero.
Years constituting the upper (Q4) and lower (Q1) quartiles of May SCP coupled (LLJC) and uncoupled (LLJUC) low-level jet frequency years. Years are arranged in the ascending order of LLJ occurrences for each quartile.


e. Climate indices
1) Circumglobal teleconnection index
The CGT (Branstator 2002; Ding and Wang 2005) is a planetary-scale zonally oriented Rossby wave pattern with a wavenumber 5 that manifests as geopotential anomalies guided by the upper-level jet stream. Ding and Wang (2005) concluded that CGT pattern variability is most strongly related to western Asia geopotential anomalies. Following them, we calculate a one-point correlation map for the 1901–2010 period between the May western Asia area-averaged Z250 (defined as region 1 or R1; 35°–45°N, 60°–70°E) and the May Z250 at each grid point in the Northern Hemisphere (20°–80°N, 0°–360°E), to identify regions of strong covariability with western Asia. Based on the correlation map (Fig. S1b in the online supplemental material), three regions, or centers, that covary strongly with western Asia are identified: R2: 42°–52°N, 110°–120°E; R3: 32°–42°N, 155°–145°W; and R4: 33°–43°N, 118°–108°W. R3 varies in phase with the western Asia ridge (R1), whereas R2 and R4 are out of phase with R1 and are associated with troughs.
The May CGT index time series used in this study is calculated by subtracting the sum of R2 and R4 anomalies from the sum of R1 and R3 anomalies and normalizing the difference by the standard deviation of 1901–2010 CGT. This four-center definition of CGT represents the hemisphere-scale variability well, especially over the North American sector. We examined the sensitivity of the May CGT index to the number of centers included (Fig. S1b; marked with dashed boxes) and all derived CGT time series were fairly well correlated. An important point to note here is that R4 (33°–43°N, 118°–108°W) of our CGT index partially overlaps with the CWA detection region used in LLJ classification (section 2c). The correlation between area-averaged CWA over the CWA detection region and CGT is nearly 0.6, which is similar to the CGT index’s correlation with R1–R4 Z250 anomalies.
2) Pacific Ocean indices
The Pacific decadal oscillation (PDO; Mantua and Hare 2002) index is calculated from the 1901–2010 monthly mean SSTs following the approach of Deser and Trenberth (2016). The SST anomalies are calculated by first removing the long-term annual cycle from monthly data, detrending SSTs at each grid, and subtracting global mean SST at each time step. The leading EOF pattern of the square root of the cosine of latitude-weighted SST anomalies over the North Pacific Ocean (20°–70°N, 110°–260°E) gives the PDO pattern and the first principal component, normalized by its standard deviation, gives the PDO index.
Oceanic Niño indices are used to study the ENSO (Trenberth 1997). The Niño-3.4 index is calculated from the detrended SST anomalies over the Niño-3.4 region (5°S–5°N, 170°–120°W), whereas the Niño-4 index is calculated similarly over the Niño-4 region (5°S–5°N, 160°E–150°W). Both indices are computed for January–March (JFM) and May.
3) North Atlantic climate indices
The monthly NAO index (Hurrell 1995) is derived through an EOF analysis of monthly SLP over the Atlantic Ocean region between 20° and 80°N and between 90° and 40°W following Hurrell et al. (2003). The leading EOF gives the NAO oscillation pattern, whereas the standardized principal component time series gives the NAO index. The North Atlantic subtropical high (NASH) index is derived from May Z850 anomalies over the region covering 20°–40°N, 60°–30°W following Wei et al. (2019). The May NAO and NASH indices computed here have a 1901–2010 Pearson’s correlation of 0.69, which is significant at the α = 0.1 level. The Atlantic multidecadal oscillation (AMO) index (Trenberth and Shea 2006) is calculated from annual mean SSTs over the Atlantic basin (0°–60°N, 80°W–0°) from 1901 to 2010. SST anomalies are calculated by subtracting the 1901–1970 climatological means at each grid point and then area-averaging over the Atlantic basin. Finally, this time series is detrended by subtracting the global mean SST anomaly time series. For all correlation analyses between climate indices and the LLJC or LLJUC frequency time series, correlation significance is tested at the α = 0.1 level using the bootstrapping method with 10 000 realizations of the 110-yr time series. The correlation between two time series is significant at the α = 0.1 level if the 5th–95th-percentile range of 10 000 bootstrapped correlations does not include zero.
3. Results
a. Warm season LLJ statistics
An MSSA (section 2b) of CERA-20C’s April–September monthly mean 0600 UTC V850 for the 1901–2010 period reveals substantial variability over the Great Plains with 2–6-yr periodicity. Figure 1a illustrates the total interannual standard deviation and the standard deviation of the filtered 2–6-yr oscillatory mode of April–September monthly mean 0600 UTC V850 over the SCP. The results for May are particularly noteworthy given the socioeconomic importance of May precipitation predictability and the relative lack of studies focused on May, as discussed in the introduction. May has the strongest interannual variation of V850 among warm season months, with nearly 38% of the total interannual variability explained by the 2–6-yr oscillatory mode, suggesting a plausible large-scale atmospheric teleconnection influence. Figure 1b shows the contribution of each month’s LLJ count and precipitation accumulation to warm season totals. May comprises 15% of all warm season LLJs but nearly 25% of the warm season total precipitation. Spatially, the climatological LLJ core (i.e., maximum V850) and the maximum in the standard deviation of the May V850 filtered 2–6-yr oscillatory mode lie over the SCP (Fig. 1c). Nearly all LLJs traverse the SCP regardless of where they eventually end (e.g., Burrows et al. 2019). Thus, the selection of this region for further detailed analyses makes sense from both prediction and statistical robustness perspectives.

(a) Interannual standard deviation (SD; m s−1) of monthly 850-hPa meridional wind (V850; in gray) and of its filtered 2–6-yr oscillating component (blue) for the U.S. south-central plains [SCP; 30°–42°N, 102°–92°W; blue box in (c)]. Percentage of total variance explained by the 2–6-yr oscillatory mode is noted. (b) Monthly total LLJ frequency (LLJT; solid line) and precipitation (dashed line) over SCP as a fraction of warm season totals. (c) SD of filtered 2–6-yr oscillatory mode in May V850 (m s−1) in color and mean May V850 (m s−1) contours in black.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) Interannual standard deviation (SD; m s−1) of monthly 850-hPa meridional wind (V850; in gray) and of its filtered 2–6-yr oscillating component (blue) for the U.S. south-central plains [SCP; 30°–42°N, 102°–92°W; blue box in (c)]. Percentage of total variance explained by the 2–6-yr oscillatory mode is noted. (b) Monthly total LLJ frequency (LLJT; solid line) and precipitation (dashed line) over SCP as a fraction of warm season totals. (c) SD of filtered 2–6-yr oscillatory mode in May V850 (m s−1) in color and mean May V850 (m s−1) contours in black.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) Interannual standard deviation (SD; m s−1) of monthly 850-hPa meridional wind (V850; in gray) and of its filtered 2–6-yr oscillating component (blue) for the U.S. south-central plains [SCP; 30°–42°N, 102°–92°W; blue box in (c)]. Percentage of total variance explained by the 2–6-yr oscillatory mode is noted. (b) Monthly total LLJ frequency (LLJT; solid line) and precipitation (dashed line) over SCP as a fraction of warm season totals. (c) SD of filtered 2–6-yr oscillatory mode in May V850 (m s−1) in color and mean May V850 (m s−1) contours in black.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Figure 2a presents the May SCP LLJT (total LLJs), LLJC, and LLJUC frequency time series, showing their year-to-year variability. For the 1901–2010 period, 1626 May LLJT events are identified, out of which 831 are LLJC and 795 are LLJUC. Similar calculations applied to the CRv3 dataset produced 1673 LLJT, 779 LLJC, and 894 LLJUC in May for the 1901–2010 period. May has an average of 15 LLJ days, with an almost 50–50 ratio of LLJC and LLJUC, similar to that reported by Burrows et al. (2019). Time series analysis reveals an inverse relationship between LLJC and LLJUC frequencies (Pearson’s r = −0.5, significant at the α = 0.1 level).

(a) May frequencies of total (LLJT; black), coupled (LLJC; blue), and uncoupled (LLJUC; red) LLJs for the period from 1901–2010. Sky-blue bars denote years with positive May precipitation anomalies and gray bars denote years with negative May precipitation anomalies in the SCP. (b) Box-and-whisker plot of 1901–2010 mean May LLJ frequency (days; black), 0600 UTC V850 (m s−1; red), and precipitation (Prec; mm day−1; blue) for the SCP. Only active LLJ days are used in the calculation of the V850 and Prec means. Prec means are 24 h accumulated, centered around 0600 UTC. Whiskers extend to the 5th and 95th percentiles.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) May frequencies of total (LLJT; black), coupled (LLJC; blue), and uncoupled (LLJUC; red) LLJs for the period from 1901–2010. Sky-blue bars denote years with positive May precipitation anomalies and gray bars denote years with negative May precipitation anomalies in the SCP. (b) Box-and-whisker plot of 1901–2010 mean May LLJ frequency (days; black), 0600 UTC V850 (m s−1; red), and precipitation (Prec; mm day−1; blue) for the SCP. Only active LLJ days are used in the calculation of the V850 and Prec means. Prec means are 24 h accumulated, centered around 0600 UTC. Whiskers extend to the 5th and 95th percentiles.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) May frequencies of total (LLJT; black), coupled (LLJC; blue), and uncoupled (LLJUC; red) LLJs for the period from 1901–2010. Sky-blue bars denote years with positive May precipitation anomalies and gray bars denote years with negative May precipitation anomalies in the SCP. (b) Box-and-whisker plot of 1901–2010 mean May LLJ frequency (days; black), 0600 UTC V850 (m s−1; red), and precipitation (Prec; mm day−1; blue) for the SCP. Only active LLJ days are used in the calculation of the V850 and Prec means. Prec means are 24 h accumulated, centered around 0600 UTC. Whiskers extend to the 5th and 95th percentiles.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
It can be noted from Fig. 2b that although the frequencies of LLJC and LLJUC are very similar in May (almost a 50–50 ratio), LLJCs are associated with stronger V850 and more precipitation over the SCP. Mean differences between LLJC and LLJUC event V850 is 3.44 m s−1 and associated precipitation is 1.35 mm day−1, and these differences are significant at the α = 0.1 level. Overall, nearly 41% of May SCP precipitation is associated with LLJ events, out of which 62% is received on LLJC days and 38% is received on LLJUC days. May monthly averaged SCP precipitation has a weak positive correlation with LLJC frequency (r = 0.16) and a strong negative correlation with LLJUC frequency (r = −0.46). A significantly more positive precipitation–LLJC frequency correlation (r = 0.47) is found if we compare SCP LLJC frequency with precipitation in the region offset just 10° north (i.e., 40°–52°N, 102°–92°W), consistent with typical LLJ exit and moisture convergence positioning (e.g., Ferguson et al. 2020). These statistics underscore how variations in frequencies of LLJC and LLJUC can impact the hydroclimate of the region.
The spatial patterns of May Q4 − Q1 LLJC and Q4 − Q1 LLJUC precipitation composites (Fig. 3) show significant differences in precipitation across the globe during high and low LLJC and LLJUC frequency years. Notable precipitation differences exist not only over the SCP and the U.S. Midwest, but also over the Intra-Americas Sea, the tropical and northeastern Pacific Ocean, Southeast Asia, and the Indian Ocean, implying large-scale remote influences on Great Plains LLJs. Henceforth, we analyze the LLJC and LLJUC time series separately and pursue attribution of their respective interannual frequency variations to large-scale teleconnection patterns.

Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between upper and lower quartiles of (a) LLJC and (b) LLJUC frequency years. Differences are computed, for example, by subtracting mean precipitation of the first quartile (0th–25th percentiles) of LLJC (LLJUC) frequency years from mean precipitation of the fourth quartile (75th–100th percentiles) of LLJC (LLJUC) frequency years (hereafter, Q4 − Q1 composite). Q4 − Q1 composite differences that are significant at α = 0.1 are stippled. Refer to section 2d for details about the significance test.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between upper and lower quartiles of (a) LLJC and (b) LLJUC frequency years. Differences are computed, for example, by subtracting mean precipitation of the first quartile (0th–25th percentiles) of LLJC (LLJUC) frequency years from mean precipitation of the fourth quartile (75th–100th percentiles) of LLJC (LLJUC) frequency years (hereafter, Q4 − Q1 composite). Q4 − Q1 composite differences that are significant at α = 0.1 are stippled. Refer to section 2d for details about the significance test.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between upper and lower quartiles of (a) LLJC and (b) LLJUC frequency years. Differences are computed, for example, by subtracting mean precipitation of the first quartile (0th–25th percentiles) of LLJC (LLJUC) frequency years from mean precipitation of the fourth quartile (75th–100th percentiles) of LLJC (LLJUC) frequency years (hereafter, Q4 − Q1 composite). Q4 − Q1 composite differences that are significant at α = 0.1 are stippled. Refer to section 2d for details about the significance test.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
b. LLJC and LLJUC synoptic overview
Figure 4 shows the Q4 − Q1 LLJC and Q4 − Q1 LLJUC composites of May 0600 UTC Z500 and Z250. The CGT wavenumber-5 pattern is distinctly seen over the Northern Hemisphere in the Q4 − Q1 LLJC composite. Significant positive Z500 anomalies can be noted in the following regions: western Asia, the northwestern Pacific Ocean, the northeastern Pacific Ocean, eastern North America, and Greenland. Significant negative Z500 anomalies can be seen in the following regions: eastern China, the Aleutian Islands, the western United States, and the north-central Atlantic Ocean. The Z500 anomaly pattern is closely matched by that of the Z250 anomalies (Fig. 4a), indicative of the barotropic structure of the centers of action of the CGT, with the only exception being the western Asia ridge, which has a heat low type of circulation near the surface (Ding and Wang 2005).

Q4 − Q1 of May 0600 UTC Z500 (m, shaded; color interval: 6 m) and Z250 (m, contoured; contour interval: 12 m; solid: positive; dashed: negative) for (a) LLJC, (b) LLJUC, and (c) LLJT years. Z500 Q4 − Q1 composite differences that are significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

Q4 − Q1 of May 0600 UTC Z500 (m, shaded; color interval: 6 m) and Z250 (m, contoured; contour interval: 12 m; solid: positive; dashed: negative) for (a) LLJC, (b) LLJUC, and (c) LLJT years. Z500 Q4 − Q1 composite differences that are significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Q4 − Q1 of May 0600 UTC Z500 (m, shaded; color interval: 6 m) and Z250 (m, contoured; contour interval: 12 m; solid: positive; dashed: negative) for (a) LLJC, (b) LLJUC, and (c) LLJT years. Z500 Q4 − Q1 composite differences that are significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
The Q4 − Q1 LLJUC composite (Fig. 4b) features a combination of a wavenumber-4 and a wavenumber-2 pattern, with significantly positive Z500 and Z250 anomalies over eastern Asia, the Aleutian Islands, the contiguous United States, and the northern Atlantic Ocean and a significantly negative anomaly center in western Asia. The wavelike pattern in Q4 − Q1 composites is clearer in some of the individual CERA-20C ensemble members, such as the first member as shown in Fig. S3. The scale of the positive anomaly centers in Q4 − Q1 LLJUC is different as compared to the LLJC composite and they appear more zonal in case of LLJUC. Additionally, the pronounced meridional Z250 gradient over North America (Fig. 4b) is consistent with a stronger zonally oriented upper-level jet between 40° and 60°N (Fig. S4). A poleward-shifted jet favors more persistent ridges over the continental United States, a condition more favorable for LLJUCs as compared to LLJCs. Possible interference from other teleconnections is also examined in a later section. The Q4 − Q1 LLJT composite of May Z500 and Z250 does not reveal a clear CGT-like wave pattern (Fig. 4c), which could explain why CGT–LLJ connections have been overlooked in the literature. A strong CGT influence only becomes apparent when the two classes of LLJs are analyzed separately.
Near the surface, May T-2m anomalies for Q4 − Q1 LLJC and LLJUC composites are generally in agreement with the geopotential anomalies aloft (Figs. 5a,b). T-2m anomalies are much larger over continental longitudes as compared to oceanic longitudes, likely due to lower heat capacity of the land surface as compared to the ocean. In the Q4 − Q1 LLJC composite, significant heating anomalies exist over western Asia and the eastern United States. In contrast, significant heating anomalies exist over northeastern China centered near 40°N, 105°E and western North America centered near 35°N, 110°W in the Q4 − Q1 LLJUC composite. These T-2m anomaly patterns influence the May west–east surface temperature gradient over the United States, which in turn can modulate LLJC and LLJUC intensity and frequencies (e.g., Holton 1967). The Hovmöller plots of Figs. 5c and 5d illustrate the eastward propagation of T-2m anomalies from 1 March to 31 May attributable to upper-level circulation anomalies (Fig. 4). Heating anomalies—especially over elevated land such as the Rockies—can also result in phase-locking with the propagating Rossby wave and thus help in establishing a particular phase of quasi-stationary Rossby wave over the midlatitudes (e.g., Koster et al. 2016; Wang et al. 2019).

Q4 − Q1 (a),(c) LLJC and (b),(d) LLJUC composites for (a),(b) May 2-m air temperature (T-2m; K) and (c),(d) 1 Mar–31 May daily mean T-2m. Differences significant at α = 0.1 are stippled in (a) and (b). Select continental regions with significant T-2m differences in (a) are focused with dashed boxes. Hovmöller diagrams in (c) and (d) are for daily T-2m differences averaged over 25°–50°N. Dashed vertical lines are drawn at 60°E, 100°E, and 120°W. Additional dashed vertical lines at 102° and 92°W indicate the SCP boundaries (labeled GP in the figure).
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

Q4 − Q1 (a),(c) LLJC and (b),(d) LLJUC composites for (a),(b) May 2-m air temperature (T-2m; K) and (c),(d) 1 Mar–31 May daily mean T-2m. Differences significant at α = 0.1 are stippled in (a) and (b). Select continental regions with significant T-2m differences in (a) are focused with dashed boxes. Hovmöller diagrams in (c) and (d) are for daily T-2m differences averaged over 25°–50°N. Dashed vertical lines are drawn at 60°E, 100°E, and 120°W. Additional dashed vertical lines at 102° and 92°W indicate the SCP boundaries (labeled GP in the figure).
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Q4 − Q1 (a),(c) LLJC and (b),(d) LLJUC composites for (a),(b) May 2-m air temperature (T-2m; K) and (c),(d) 1 Mar–31 May daily mean T-2m. Differences significant at α = 0.1 are stippled in (a) and (b). Select continental regions with significant T-2m differences in (a) are focused with dashed boxes. Hovmöller diagrams in (c) and (d) are for daily T-2m differences averaged over 25°–50°N. Dashed vertical lines are drawn at 60°E, 100°E, and 120°W. Additional dashed vertical lines at 102° and 92°W indicate the SCP boundaries (labeled GP in the figure).
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
c. LLJC and LLJUC teleconnections
1) The circumglobal teleconnection
The CGT has previously been associated with the summer precipitation variability over the United States (e.g., Ding and Wang 2005; S.-Y. Wang et al. 2010; Ding et al. 2011), but its direct influence on LLJ dynamical coupling (i.e., LLJC vs LLJUC) has not been investigated in detail before. The time series of the May CGT index [section 2e(1)] illustrated in Fig. 6a shows considerable interannual variability. Like Great Plains LLJs, May CGT has considerable variability at 2–6-yr time scales (Figs. 2 and 6a). The CGT power spectrum peaks near 3-, 4-, and 6-yr periodicity exceed the 90% bound of the red noise power spectrum (Fig. 6b). A regression of May CGT with May Z250 shows the positive phase of the CGT (Fig. 6c), which can also be clearly seen in Q4 − Q1 LLJC composites of Z250, Z500, and T-2m (Figs. 4a and 5a).

(a) The time series of May CGT computed for 1901–2010. (b) Fourier transform of the May 1901–2010 CGT index (blue), red noise spectrum (red), and the red noise spectrum’s 90th-percentile (black) and 95th-percentile (gray) bounds. (c) May CGT regressed with May 0600 UTC Z250 (m). The regions used to define the CGT are boxed in (c). The CGT is calculated as [Z250(R1) + Z250(R3) − Z250(R2) − Z250(R4)]/SD(CGT). Refer to section 2e(1) for details.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) The time series of May CGT computed for 1901–2010. (b) Fourier transform of the May 1901–2010 CGT index (blue), red noise spectrum (red), and the red noise spectrum’s 90th-percentile (black) and 95th-percentile (gray) bounds. (c) May CGT regressed with May 0600 UTC Z250 (m). The regions used to define the CGT are boxed in (c). The CGT is calculated as [Z250(R1) + Z250(R3) − Z250(R2) − Z250(R4)]/SD(CGT). Refer to section 2e(1) for details.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) The time series of May CGT computed for 1901–2010. (b) Fourier transform of the May 1901–2010 CGT index (blue), red noise spectrum (red), and the red noise spectrum’s 90th-percentile (black) and 95th-percentile (gray) bounds. (c) May CGT regressed with May 0600 UTC Z250 (m). The regions used to define the CGT are boxed in (c). The CGT is calculated as [Z250(R1) + Z250(R3) − Z250(R2) − Z250(R4)]/SD(CGT). Refer to section 2e(1) for details.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
From a time series analysis, it is found that May CGT explains nearly one-third of the interannual variability of May LLJC and LLJUC frequencies. May CGT is strongly correlated with May LLJC frequency for the 1901–2010 period (r = 0.62), which explains nearly 38% of the interannual variance in LLJC frequency. The correlation between May CGT and May LLJUC frequency is −0.48, explaining nearly 23% of LLJUC frequency interannual variance. These correlations between CGT and the LLJC and LLJUC frequency time series are significant at the α = 0.1 level. An important observation here is that the strength of the negative CGT–LLJUC correlation is weaker as compared to the positive CGT–LLJC correlation, which explains why the negative CGT phase is not distinct in the Q4 − Q1 LLJUC Z500 composites (Fig. 4b). The correlation between May CGT and LLJT frequency is just 0.15, which again underscores the need to study the two classes of LLJs separately (Table 2). Similar but slightly weaker correlations between CGT and LLJs are found using the CRv3 dataset for the 1901–2010 period; correlations between CGT and LLJT, LLJC, and LLJUC are 0.11, 0.49, and −0.31, respectively.
Pearson’s r, with values of r2 in parentheses, between May SCP total (LLJT), coupled (LLJC), and uncoupled (LLJUC) low-level jet frequencies and (a) CGT (all 110 years), CGT|+PDO, and CGT|−PDO; (b) the Pacific Ocean SST-based climate indices for the period from 1901–2010; and (c) the Atlantic Ocean climate indices. Values are computed from the CERA-20C ensemble-mean dataset. Correlation coefficients significant at the α = 0.1 level are in boldface. Refer to section 2e for details about the significance test.


2) Pacific and Atlantic teleconnections
(i) Pacific Ocean teleconnections
To take a closer look at the influence of SST variability on May LLJC and LLJUC frequencies, SST composite anomalies for May and the previous winter [January–March (JFM)] based on Q4 − Q1 composites of May LLJC and LLJUC are constructed (Fig. 7). For the May Q4 − Q1 LLJC composite, we notice a negative PDO phase (i.e., horseshoe pattern in the northern Pacific Ocean) and negative SST anomalies over the equatorial Pacific Ocean (i.e., the Niño-3.4 region), which shows in-phase variability of PDO and ENSO (Fig. 7a). Strong negative SST anomalies off the western U.S. coast imply a higher frequency of trough passages over the western United States (also evident in Fig. 4a) that support a greater frequency of LLJCs over the SCP. By comparison, in the May Q4 − Q1 LLJUC composite, features of a positive PDO phase are noticeable over the North Pacific, but not over the equatorial Pacific (Fig. 7b). Again, strong positive SST anomalies off the western U.S. coast imply a more poleward-shifted jet stream, a higher frequency of ridge building over the western United States extending to the SCP (also seen in Fig. 4b), and consequently, a higher frequency of LLJUCs over the SCP. The SST Q4 − Q1 LLJC and LLJUC composites have PDO and ENSO phases in JFM that are similar to their respective phases in May, implying some influence from previous winter SST anomalies (Figs. 7c,d).

Q4 − Q1 composites of SSTs (K) in May and preceding winters [January–March (JFM)] for May SCP LLJC and LLJUC. (a) May SSTs Q4 − Q1 LLJC, (b) May SSTs Q4 − Q1 LLJUC, (c) JFM SSTs Q4 − Q1 LLJC, and (d) JFM SSTs Q4 − Q1 LLJUC. SST differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

Q4 − Q1 composites of SSTs (K) in May and preceding winters [January–March (JFM)] for May SCP LLJC and LLJUC. (a) May SSTs Q4 − Q1 LLJC, (b) May SSTs Q4 − Q1 LLJUC, (c) JFM SSTs Q4 − Q1 LLJC, and (d) JFM SSTs Q4 − Q1 LLJUC. SST differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Q4 − Q1 composites of SSTs (K) in May and preceding winters [January–March (JFM)] for May SCP LLJC and LLJUC. (a) May SSTs Q4 − Q1 LLJC, (b) May SSTs Q4 − Q1 LLJUC, (c) JFM SSTs Q4 − Q1 LLJC, and (d) JFM SSTs Q4 − Q1 LLJUC. SST differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Table 2b summarizes the Pearson correlation coefficients and r2 values between May LLJ frequencies (LLJT, LLJC, and LLJUC) and several SST-based climate indices. Note that here no temporal smoothing is performed on the May PDO index before computing correlations with LLJ frequencies to quantify PDO–LLJ teleconnections at interannual time scale. The May PDO index and LLJC frequency are significantly negatively correlated (r = −0.22), but the PDO explains only 5% of the variance in May LLJC frequency. May LLJUC frequency and JFM Niño-3.4 and Niño-4 indices have significant negative correlations (r = −0.17). This negative correlation could be partly related to La Niña–associated winter warm surface temperature anomalies over the western United States that could persist through May (e.g., Ropelewski and Halpert 1986; Wang and Schubert 2014; see Figs. S5a,b). In addition, significant negative correlation values are also found between May LLJT frequency and May and JFM Niño-3.4 and Niño-4 indices (r = −0.22). The negative correlation between May LLJT and ENSO seen here is consistent with previous studies that have shown ENSO modulates springtime Great Plains LLJ frequency through sea level pressure variations in the Gulf of Mexico (e.g., Liang et al. 2015; Krishnamurthy et al. 2015).
(ii) North Atlantic teleconnections
Significant SST anomalies are noted in the North Atlantic Ocean in the SST Q4 − Q1 composites of May LLJC and LLJUC (Fig. 7). Three indices—NAO, NASH, and AMO—that capture North Atlantic climate variability are examined for covariability with May LLJC and LLJUC frequencies (Table 2c). We found a significant positive correlation between May NAO and LLJUC frequency (r = 0.33), and also between May NASH and LLJUC frequency (r = 0.23), which is expected because NAO and NASH are strongly correlated (r = 0.69). Figure 8 shows the regression slope between May NAO and May Z500. These Z500 regression coefficients imply a poleward-shifted jet stream over North America and the North Atlantic (Fig. S5c), and persistent ridgelike circulation over the southwestern United States and the Great Plains, favoring higher LLJUC frequency. This pattern explains the zonal elongation of Z500 anomalies in the case of Q4 − Q1 LLJUC (Fig. 4b). LLJC frequency is not found to have any significant Atlantic Ocean influence in May. We speculate that since NASH is very weak in May as compared to its summer climatology (Fig. 8b), the NASH western ridge–Great Plain LLJ connection (e.g., Wei et al. 2019) is similarly weak or nonexistent. NASH is correlated with LLJUC frequency only due to its strong correlation with NAO. Similarly, AMO is uncorrelated with May LLJC and LLJUC frequencies because AMO exerts its influence on Great Plain LLJs in the summer months mainly via modulation of NASH (e.g., Hu et al. 2011; Oglesby et al. 2012). It can be concluded from here that the direct contribution from Pacific and North Atlantic climate variability is rather small as compared to the CGT’s contribution to interannual variability of May SCP LLJCs and LLJUC frequencies.

(a) May NAO regressed with May 0600 UTC Z500 (m). Regression coefficients significant at α = 0.1 are stippled. (b) Monthly mean Z850 (m) for May (black), June (red), and July (orchid). Only the 1500- and 1550-m contours are drawn.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) May NAO regressed with May 0600 UTC Z500 (m). Regression coefficients significant at α = 0.1 are stippled. (b) Monthly mean Z850 (m) for May (black), June (red), and July (orchid). Only the 1500- and 1550-m contours are drawn.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) May NAO regressed with May 0600 UTC Z500 (m). Regression coefficients significant at α = 0.1 are stippled. (b) Monthly mean Z850 (m) for May (black), June (red), and July (orchid). Only the 1500- and 1550-m contours are drawn.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
d. Decadal variability in CGT–LLJ teleconnection
Having established that a strong, significant correlation exists between May CGT and LLJC and LLJUC frequencies, we examine low-frequency variability in these correlations during the twentieth century. Figures 9a and 9b show the 21-yr running-window correlations between May CGT and LLJC frequency and between May CGT and LLJUC frequency, respectively, and their 90% confidence intervals. Superimposed on these plots is the 10-yr running mean of the May PDO index. The PDO was mostly negative during 1905–24, 1945–77, and 2003–10 and mostly positive during 1925–44 and 1978–2002. The highs and lows in 21-yr CGT–LLJUC correlations tend to vary in synchronization with the PDO’s decadal-scale variability; CGT–LLJUC 21-yr correlations are higher during the positive PDO phase (i.e., approximately 1934–36 and 1981–86) and lower during the negative PDO phase (i.e., approximately 1951–53 and 1964–66). The 21-yr CGT–LLJC correlations also exhibit decadal-scale variability; correlations are significantly lower for some years during the positive PDO phase (i.e., approximately 1925–29) and higher for other years during the negative PDO phase (i.e., approximately 1959–63; Table 2a). Results obtained from a parallel analysis using CRv3 data are very similar and thus lend greater confidence to the CGT–LLJ teleconnection results and their PDO-like decadal variability shown here for CERA20C, especially for the latter part of the twentieth century (Figs. S6 and S7). A brief analysis of the PDO-related variability follows.

(a) The 21-yr running-window correlation between (a) May CGT and SCP LLJC frequency (blue) (b) May CGT and SCP LLJUC frequency (red). Correlation values (r) are plotted at the center year of the 21-yr window. Shading represents the 90% confidence intervals of r values from 10 000 bootstrapped samples of the 21-yr window. In addition, the 10-yr running mean of the May PDO index (gray) is superimposed in (a) and (b). Refer to section 2e(2) for the PDO index. (c) May SCP LLJC and LLJUC frequency means during positive PDO (black) and negative PDO (red) years. Solid circles show the mean LLJ frequency for all +PDO or −PDO years. Open circles and squares show mean LLJ frequency conditioned on +CGT and −CGT years, in addition to PDO phases. Whiskers show the 90% confidence intervals of frequency means from 10 000 bootstrapped samples of each set of years conditioned on CGT and PDO phases. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) The 21-yr running-window correlation between (a) May CGT and SCP LLJC frequency (blue) (b) May CGT and SCP LLJUC frequency (red). Correlation values (r) are plotted at the center year of the 21-yr window. Shading represents the 90% confidence intervals of r values from 10 000 bootstrapped samples of the 21-yr window. In addition, the 10-yr running mean of the May PDO index (gray) is superimposed in (a) and (b). Refer to section 2e(2) for the PDO index. (c) May SCP LLJC and LLJUC frequency means during positive PDO (black) and negative PDO (red) years. Solid circles show the mean LLJ frequency for all +PDO or −PDO years. Open circles and squares show mean LLJ frequency conditioned on +CGT and −CGT years, in addition to PDO phases. Whiskers show the 90% confidence intervals of frequency means from 10 000 bootstrapped samples of each set of years conditioned on CGT and PDO phases. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) The 21-yr running-window correlation between (a) May CGT and SCP LLJC frequency (blue) (b) May CGT and SCP LLJUC frequency (red). Correlation values (r) are plotted at the center year of the 21-yr window. Shading represents the 90% confidence intervals of r values from 10 000 bootstrapped samples of the 21-yr window. In addition, the 10-yr running mean of the May PDO index (gray) is superimposed in (a) and (b). Refer to section 2e(2) for the PDO index. (c) May SCP LLJC and LLJUC frequency means during positive PDO (black) and negative PDO (red) years. Solid circles show the mean LLJ frequency for all +PDO or −PDO years. Open circles and squares show mean LLJ frequency conditioned on +CGT and −CGT years, in addition to PDO phases. Whiskers show the 90% confidence intervals of frequency means from 10 000 bootstrapped samples of each set of years conditioned on CGT and PDO phases. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Figure 9c illustrates the mean LLJC and LLJUC frequencies during positive (N = 54) and negative (N = 56) PDO years (shown with solid circles). The 90% confidence intervals on the mean values are calculated from 10 000 bootstrapped samples of 54 years by selecting 25 years with replacement each time. Although LLJC and LLJUC frequencies vary with PDO phase, the differences are not statistically significant. An important significant difference is a higher LLJUC frequency in the positive PDO years as compared to LLJC frequency.
Next, we use four 25-yr subsets conditioned on joint CGT and PDO phases (i.e., +CGT|+PDO, +CGT|−PDO, −CGT|+PDO, and −CGT|−PDO; years are listed in Table S1) to examine the changes in LLJC and LLJUC frequencies in accordance with CGT and PDO phases. By applying the same bootstrapping method on samples of 25 years, LLJC and LLJUC confidence intervals are computed for all four CGT and PDO conditional subsets. It can be noted from Fig. 9c that positive CGT years (shown with open circles) have a significantly higher frequency of LLJCs as compared to negative CGT years (shown with open squares); conversely, negative CGT years have a significantly higher frequency of LLJUCs as compared to positive CGT years. However, modulation of these frequencies by PDO is not statistically significant at the α = 0.1 level during positive or negative CGT years.
Recent studies have pointed out that the PDO is not a single phenomenon, but rather the integrated effect of multiple processes such as tropical Pacific SST and precipitation variability, SST anomalies near the Kuroshio and Oyashio frontal zones, Aleutian low fluctuations, internal atmospheric variability, and so on (see Newman et al. 2016, and references therein). Precipitation anomalies related to the tropical Indo-Pacific Ocean SST anomalies are also recognized as one major forcing of low-frequency PDO variability (e.g., Deser et al. 2004). Thus, any PDO-like decadal variability could be the combined result of processes that influence North Pacific SSTs at decadal time scales, and not actually caused by local North Pacific SST anomalies. PDO-related SST anomalies can still have a small indirect influence on the atmospheric circulations aloft via the Kuroshio–Oyashio region’s SST anomalies and western Pacific subtropical high (WPSH) mostly in summer (e.g., Matsumura and Horinouchi 2016).
May precipitation and Z250 differences between PDO phases are examined to find a potential source of decadal variability. We note significant differences in May precipitation over the western tropical Pacific (Fig. 10a) and associated changes in the May Z250 fields, with a significant increase in Z250 over the WPSH region and the adjoining western U.S. region during positive PDO years (Fig. 10b). Another region with significant PDO-related precipitation differences is the Kuroshio region, possibly related to Z250 anomalies over northeastern Asia. Figures 11a, 11b, 11d, and 11e show the May Z250 anomalies for the four subsets of CGT and PDO conditional years analyzed in Fig. 9c. May Z250 anomalies are computed by subtracting the 110-yr mean May Z250 at each grid. The Z250 anomalies show some variations in the magnitude of troughs and ridges of the Rossby wave during both positive and negative CGT years. Significant differences are seen in eastern Asia, the western United States, and northeastern America between PDO phases in Figs. 11c and 11f. We speculate that variations in CGT during PDO phases could be related to PDO associated precipitation and Z250 anomalies seen in Fig. 10.

(a) Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between +PDO and −PDO years. The dashed black line shows the climatological-mean 4 mm day−1 precipitation contour for May. (b) As in (a), but for May 0600 UTC Z250 (m). Composite differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between +PDO and −PDO years. The dashed black line shows the climatological-mean 4 mm day−1 precipitation contour for May. (b) As in (a), but for May 0600 UTC Z250 (m). Composite differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) Composite differences of May 24-h accumulated precipitation (Prec; mm day−1) between +PDO and −PDO years. The dashed black line shows the climatological-mean 4 mm day−1 precipitation contour for May. (b) As in (a), but for May 0600 UTC Z250 (m). Composite differences significant at α = 0.1 are stippled.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a),(b),(d),(e) Composite means of May 0600 UTC Z250 (m) anomalies computed by subtracting the 110-yr mean at each grid. (a) +CGT|+PDO years, (b) +CGT|−PDO years, (d) −CGT|+PDO years, and (e) −CGT|−PDO years. (c),(f) Composite differences of May 0600 UTC Z250 (m) for (c) +CGT|+PDO minus +CGT|−PDO [i.e., (a) minus (b)] and (f) −CGT|+PDO minus −CGT|−PDO [i.e., (d) minus (e)]. Composite differences significant at α = 0.1 are stippled in (c) and (f) Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a),(b),(d),(e) Composite means of May 0600 UTC Z250 (m) anomalies computed by subtracting the 110-yr mean at each grid. (a) +CGT|+PDO years, (b) +CGT|−PDO years, (d) −CGT|+PDO years, and (e) −CGT|−PDO years. (c),(f) Composite differences of May 0600 UTC Z250 (m) for (c) +CGT|+PDO minus +CGT|−PDO [i.e., (a) minus (b)] and (f) −CGT|+PDO minus −CGT|−PDO [i.e., (d) minus (e)]. Composite differences significant at α = 0.1 are stippled in (c) and (f) Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a),(b),(d),(e) Composite means of May 0600 UTC Z250 (m) anomalies computed by subtracting the 110-yr mean at each grid. (a) +CGT|+PDO years, (b) +CGT|−PDO years, (d) −CGT|+PDO years, and (e) −CGT|−PDO years. (c),(f) Composite differences of May 0600 UTC Z250 (m) for (c) +CGT|+PDO minus +CGT|−PDO [i.e., (a) minus (b)] and (f) −CGT|+PDO minus −CGT|−PDO [i.e., (d) minus (e)]. Composite differences significant at α = 0.1 are stippled in (c) and (f) Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
During a positive PDO phase, positive Z250 anomalies over the western United States tend to significantly strengthen ridge building there (i.e., CGT center R4) and support a higher frequency of LLJUCs as compared to LLJCs (Fig. 10b). Further investigation of PDO–CGT physical linkages and mechanistic pathways through which LLJC and LLJUC frequencies are impacted would require idealized modeling simulations (e.g., with prescribed SSTs over the North Pacific, diabatic heating anomalies over the western-central Pacific) that extend beyond the focus and scope of the current work.
e. Dynamics of LLJC and LLJUC variability
Finally, we present a dynamical explanation of LLJ jet class variability over the contiguous United States that is linked to the observed CGT–LLJC and CGT–LLJUC teleconnections. The impact of CGT on LLJ jet class can be mainly explained using mechanisms offered by Parish (2017) and Holton (1967). We focus on the changes in Z850, T-2m, and V850 over the region spanning 30°–42°N, 120°–70°W between year subsets conditioned jointly on CGT and PDO phase (Table S1). Figure 12a illustrates the May Z850 east–west gradients over the SCP latitudinal extent for positive CGT (blue lines) and negative CGT (red lines) years. A sharp east–west gradient in Z850 in both positive CGT and negative CGT composites is the result of differential heating over the sloping terrains of Great Plains due to solar insolation in summer and constitutes the region’s background southerly geostrophic flow (e.g., Parish 2017). The Z850 gradient is enhanced by a positive CGT and suppressed by a negative CGT (Fig. 12a). Additionally, a dynamically driven 850-hPa lee trough can develop to the east of the Rockies in response to an upstream upper-level trough, more likely with the positive CGT phase, and enhance the Z850 east–west gradient.

(a) May 0600 UTC Z850 (m) averaged over 30°–42°N for +CGT|+PDO years (solid blue), −CGT|+PDO years (solid red), +CGT|−PDO years (dashed blue), and −CGT|−PDO years (dashed red). (b) May T-2m anomalies (K) averaged over 30°–42°N for the same four composites of years as in (a). T-2m anomalies are computed by subtracting the climatological mean at each grid. (c) May 0600 UTC V850 (m s−1) averaged over 30°–42°N for the same four composites of years as in (a). Shading in (a)–(c) represents the 90% confidence intervals of the means from 10 000 bootstrapped samples of 25-yr subsets. (d),(e) Composite differences of May 0600 UTC V850 (m s−1) for (d) +CGT|+PDO minus +CGT|−PDO years considering LLJC days only and (e) −CGT|+PDO minus −CGT|−PDO years considering LLJUC days only. V850 differences significant at α = 0.1 are stippled. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1

(a) May 0600 UTC Z850 (m) averaged over 30°–42°N for +CGT|+PDO years (solid blue), −CGT|+PDO years (solid red), +CGT|−PDO years (dashed blue), and −CGT|−PDO years (dashed red). (b) May T-2m anomalies (K) averaged over 30°–42°N for the same four composites of years as in (a). T-2m anomalies are computed by subtracting the climatological mean at each grid. (c) May 0600 UTC V850 (m s−1) averaged over 30°–42°N for the same four composites of years as in (a). Shading in (a)–(c) represents the 90% confidence intervals of the means from 10 000 bootstrapped samples of 25-yr subsets. (d),(e) Composite differences of May 0600 UTC V850 (m s−1) for (d) +CGT|+PDO minus +CGT|−PDO years considering LLJC days only and (e) −CGT|+PDO minus −CGT|−PDO years considering LLJUC days only. V850 differences significant at α = 0.1 are stippled. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
(a) May 0600 UTC Z850 (m) averaged over 30°–42°N for +CGT|+PDO years (solid blue), −CGT|+PDO years (solid red), +CGT|−PDO years (dashed blue), and −CGT|−PDO years (dashed red). (b) May T-2m anomalies (K) averaged over 30°–42°N for the same four composites of years as in (a). T-2m anomalies are computed by subtracting the climatological mean at each grid. (c) May 0600 UTC V850 (m s−1) averaged over 30°–42°N for the same four composites of years as in (a). Shading in (a)–(c) represents the 90% confidence intervals of the means from 10 000 bootstrapped samples of 25-yr subsets. (d),(e) Composite differences of May 0600 UTC V850 (m s−1) for (d) +CGT|+PDO minus +CGT|−PDO years considering LLJC days only and (e) −CGT|+PDO minus −CGT|−PDO years considering LLJUC days only. V850 differences significant at α = 0.1 are stippled. Refer to Table S1 for constituent years.
Citation: Journal of Climate 34, 12; 10.1175/JCLI-D-20-0451.1
Similarly, near-surface temperatures are also modulated by CGT phase. Figure 12b illustrates the May T-2m anomalies from west to east and a clear distinction can be made between positive CGT and negative CGT years. The negative T-2m anomalies in the west and positive T-2m anomalies in the east in the case of positive CGT are consistent with a potential enhancement of the nocturnal southerly LLJ via thermal wind forcing in lower levels (e.g., Holton 1967). During positive CGT years, a negative PDO phase is associated with a stronger east–west T-2m gradient (see Fig. S8 for regions with significant differences in T-2m). During negative CGT years, the T-2m anomalies in the western United States are significantly higher during the positive PDO phase as compared to the negative PDO phase, related to more persistent ridges over the western United States during the positive PDO phase (Fig. 11f).
Relatedly, mean May 0600 UTC V850 between 100° and 80°W is significantly higher during positive CGT years as compared to negative CGT years (Fig. 12c) due to stronger background geostrophic flow and supporting T-2m anomalies (Figs. 12a,b). The ageostrophic wind component, supported by nocturnal decoupling of the boundary layer (e.g., Blackadar 1957), shows much smaller differences between CGT phases as compared to the geostrophic wind component (Fig. S9). Recall here that positive and negative CGT phases favor LLJC and LLJUC frequencies, respectively (Table 2a), and also that LLJCs have significantly stronger meridional winds as compared to LLJUCs (Fig. 2). Modulation of monthly mean May V850 by PDO phase is not significant during positive or negative CGT years. But as shown next (Fig. 12d), V850 differences between positive and negative PDO phases are significant during positive CGT years if only May LLJC days are considered.
Figures 12d and 12e show the spatial pattern of V850 anomalies on LLJC and LLJUC days computed by averaging over only the LLJC or LLJUC days in May as opposed to all the days in May (Figs. 12a–c). For LLJC days, SCP V850 is significantly lower in +CGT|+PDO years as compared to +CGT|−PDO years (Fig. 12d). On the contrary, for LLJUC days, no significant SCP V850 differences are noted between −CGT|+PDO and −CGT|−PDO year composites. Given that LLJUCs are associated with ridge-like circulation aloft that impose similar Z850 and T-2m gradients over the Great Plains regardless of PDO phase, this finding is not surprising (Figs. 12a,b).
Large differences in Z850 and T-2m over the western United States (R4 center in the CGT index) between CGT and PDO phases (Figs. 12a,b) motivated us to examine the correlation structure between R4’s Z250 anomalies with LLJC and LLJUC frequency time series. R4 May Z250 anomalies are computed by subtracting the 110-yr mean May Z250. We found that the correlations between May R4 Z250 anomalies and May LLJC (r = −0.74) and LLJUC (r = 0.58) frequency time series exceeded the correlations between them and the May CGT time series. Correlations between LLJC and LLJUC frequency time series and Z250 at other CGT centers (i.e., R1–R3) were weaker than with R4 Z250. Given the geographic proximity of R4 to the Great Plains and established relationship between R4 geopotential anomalies and dynamical jet class, the strong correlation should not come as a surprise. From a lead forecast standpoint, it is important to evaluate the covariability of upstream CGT centers to R4. Table 3 summarizes the correlation between Z250 at all four CGT centers, considered in this analysis. R4’s significant covariability with R2 and R3 through the CGT offers some scope for LLJ predictability at a submonthly lead time. Whatever downstream contiguous U.S. predictability that will exist will occur with amplified North Pacific flow regimes relative to climatology when the Z250 anomalies in R2 and R3 are out of phase.
Pearson’s correlation of May area-averaged CERA-20C ensemble-mean 0600 UTC Z250 between the four CGT centers of action (i.e., R1–R4 in Fig. 6c) during 1901–2010. Correlation coefficients significant at the α = 0.1 level are in boldface.


4. Summary and discussion
Through spectral analysis of V850 from the 110-yr CERA-20C dataset, we show that over the SCP 1) the greatest warm season interannual variability in LLJ frequency occurs in May and 2) the V850 2–6-yr variability mode contributes nearly 38% of the total variance. This is crucial because LLJs contribute 41% of May precipitation in the SCP, which amounts to 25% of the total April–September precipitation (Fig. 1). The prominence of LLJs’ 2–6-yr variability mode points to a large-scale teleconnection component to May LLJ variability, a connection that, to our knowledge, has not previously been explained dynamically.
In this study, by analyzing May SCP LLJC and LLJUC frequency time series separately over the century-scale record afforded by CERA-20C, we are able to successfully demonstrate significant May CGT–LLJC and CGT–LLJUC teleconnections. The split analyses of teleconnection influences on LLJC and LLJUC aid in identifying for the first time, a very clear signature of the CGT influence in May (Fig. 4). Positive and negative phases of CGT increased LLJC (CGT–LLJC: r = 0.62) and LLJUC (CGT–LLJUC: r = −0.48) event frequencies, respectively. It is found that May CGT explains 38% of variability in LLJC frequency and 23% of variability in LLJUC frequency (Table 2a). Like Great Plains LLJs, the CGT index also demonstrates considerable interannual variability with 2–6-yr periodicity (Figs. 2, 6). Besides the CGT, a significant but less substantial correlation is found between May NAO and LLJUC frequency (r = 0.33; Fig. 8). Overall, Pacific and North Atlantic climate variability explain very little interannual variability in LLJC and LLJUC frequencies (Fig. 7; Tables 2b,c).
The synoptic and dynamical linkages between the CGT and LLJC and LLJUC frequencies begins over the western United States, where the upper-level ridge–trough pattern associated with the CGT strongly modulates background Z850 and near-surface temperature gradients set up by differential heating over the sloping terrain of the Rockies and Plains. The resultant geopotential and thermal gradients determine the geostrophic wind flow within the Great Plains LLJ corridor. Surface heating/cooling anomalies over the elevated terrain of the western United States (Fig. 5) can further support phase-locking of the CGT wave train over certain longitudes through feedback on upper-level circulation anomalies (e.g., Koster et al. 2016; Wang et al. 2019). Owing to this direct connection between the western United States and the Great Plains, a higher correlation is found between western U.S. May Z250 and May LLJC (r = −0.74) and LLJUC (r = 0.58) frequencies than between the CGT and LLJC or LLJUC frequencies. Nevertheless, significant correlations between western U.S. Z250 and upstream CGT centers of action underscore the importance of CGT and its potential role in LLJ predictability (Table 3). Prediction lead times will depend upon prediction skills for midlatitude atmospheric circulations (e.g., Teng et al. 2013).
Importantly, the CGT–LLJC and CGT–LLJUC relationships exhibit decadal-scale variability in association with PDO phase (Fig. 9). PDO phase change significantly affects LLJC and LLJUC intensity and frequency respectively over the SCP (Figs. 12 and 9c), mainly through modulation of the CGT wave train (Fig. 11). Low-frequency PDO-like variability could be linked to multiple processes that affect North Pacific SSTs (Newman et al. 2016). We found significant precipitation anomalies in the western tropical Pacific and the Kuroshio region and associated changes in geopotential height over the western United States and northeastern Asia between PDO phases (Fig. 10). PDO-related decadal-scale changes in other teleconnections across the globe have been noted in previous studies (e.g., Watanabe and Yamazaki 2014; Chakraborty and Agrawal 2017; Cai et al. 2010; Wang et al. 2008). Given that previous studies have reported a significant trend in total springtime LLJs and precipitation over the SCP (e.g., Barandiaran et al. 2013; Cook et al. 2008), it is worth revisiting this work in light of the noted decadal variability in LLJC and LLJUC frequencies with PDO phase. The availability of century-long reanalysis datasets like CERA20C and CRv3 can be pivotal in these studies.
The CGT could also offer some explanation for the noted summer temperature and precipitation covariability between Asia and North America (e.g., Li et al. 2005; Zhu and Li 2016). Interestingly, Indian monsoon onset exhibits similar sensitivity to May geopotential and surface temperature anomalies in western Asia (Agrawal 2018) as noted for May LLJC frequency (Fig. 5a), indicative of the CGT influence. During June–September, the CGT is influenced by both the Indian monsoon (e.g., Sardeshmukh and Hoskins 1988; Joseph and Srinivasan 1999; Ding and Wang 2005; Beverley et al. 2019) and the East Asian monsoon (e.g., Zhou et al. 2020) and can be sustained through convective heating anomalies over these monsoon regions. In our investigation of the CGT–LLJ teleconnection for shoulder spring months April and June, we found the April CGT pattern to be very weak and lacking a distinct wavenumber-5 signature. The June CGT dipole pattern over North America was located at nearly 50°N and June CGT was significantly correlated with June SCP LLJT frequency (r = 0.4) (see Figs. S1 and S2 in the online supplemental material). Atlantic Ocean–related variability like NASH and AMO is another important consideration for June–September LLJ predictability (e.g., Cook et al. 2008; Li et al. 2012; Wei et al. 2019).
In closing, the results presented in this work are significant because they provide a starting point for potentially longer lead forecasts of LLJC and LLJUC frequencies, which are closely correlated with the Great Plains wind resources and hydroclimate (e.g., Burrows et al. 2019, 2020). Improving the predictability of LLJ class frequencies would provide critical information to water resources and agricultural planners in the region. A future modeling experiment will be conducted to quantify the contribution of local heating anomalies over western North America versus remote surface heating anomalies over Asia to the Great Plains LLJ class frequencies. The experiment will importantly build upon the analyses presented here and broaden the focus to April–September to additionally examine the role of the summer NASH in forcing LLJ class frequencies.
Acknowledgments
This work was funded by NSF Award AGS-1638936. SA conceived the study, performed all analyses, and co-wrote the manuscript with CF. LB and CF contributed to the design of the study. All authors contributed to the discussions and interpretation of results.
Data availability statement
CERA-20C 10-member ensemble data were obtained from ECMWF via a dedicated data portal (http://apps.ecmwf.int/datasets). CRv3 80-member ensemble mean data were obtained from https://psl.noaa.gov/data/gridded/data.20thC_ReanV3.pressure.html. The low-level jet frequency time series and climate indices calculated for this study are available upon request.
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