1. Introduction
Summertime deep convection over the continental United States exhibits multiple robust signatures at different scales. On the continental scale, the dominant feature is afternoon convection initiation over the Rocky Mountains organizing into mesoscale convection systems that propagate eastward at night across the Great Plains (e.g., Carbone et al. 2002; Carbone and Tuttle 2008). Superposed on this pattern are afternoon mesoscale hotspots over Florida and the Gulf of Mexico coastline in the southeastern United States, where daytime sea breezes create organized zones of horizontal convergence and vertical ascent (Byers and Rodebush 1948; Carbone and Tuttle 2008). Afternoon convection over the Rockies also exhibits mesoscale character, with hotspots over and downwind of larger mountain ridges (e.g., Kuo and Orville 1973; Banta and Schaaf 1987; Damiani et al. 2008).
Beyond the first-order features mentioned above, subtler regional convection extrema occur in response to complex terrain, varying land use, proximity to water bodies, etc. Because such comparatively modest effects are often masked on shorter time scales by synoptic and/or interannual variability, they are best exposed through long-term climatologies that consider hundreds (if not thousands) of convection events. To address this need, Fabry et al. (2013) studied the diurnal cycle of convection over the conterminous United States using 15 years (1996–2007 and 2011–13) of radar-composite maps from the WSR-88D network. Among other novel findings, they observed a robust afternoon minimum in convection occurrence along the interior lower Mississippi Valley on summer afternoons, relative to surrounding areas. In this brief article, we review those observations and perform numerical simulations to gain insight into the cause of this regional convection signature.
2. Observations
Ready-made radar composites over the continental United States were obtained from two sources: (i) the National Operational Weather radar (NOWrad) composites from the WSI Corporation, which are similar to the data used by Carbone et al. (2002) and Carbone and Tuttle (2008) (from 1996 to 2007), and (ii) the low-altitude U.S. composite made by the Warning Decision Support System–Integrated Information (WDSS-II; Lakshmanan et al. 2006) (from 2011 to 2014). Both datasets attempt to characterize the echo strength and coverage in the lower troposphere. Using these data, Fabry et al. (2013) mapped the probability of radar echoes at or exceeding 40 dBZ (or
Observations of the regional minimum of convection occurrence within the Mississippi Valley: (a) satellite image of the Mississippi Valley (courtesy of Google Maps), (b) terrain height, (c)
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
Given that the regional convection minimum in Fig. 1c possesses a very similar shape as the Mississippi Valley itself (Fig. 1a), one might expect that the valley topography (specifically, orography and/or land surface variations) is somehow responsible for it. Such an association was demonstrated in the satellite analysis of Gambill and Mecikalski (2011), who found that cumulus convection over the southeastern United States was most common over heterogeneous topography, particularly orographic regions. The
3. Numerical simulations
To gain insight into the topographic (specifically, orographic and land surface related) controls on the Mississippi Valley
As a more affordable alternative, we use quasi-idealized simulations with real topography but horizontally homogeneous initial conditions and no synoptic-scale forcing. This approach follows from our hypothesis that the topography of the Mississippi Valley region is largely responsible for the regional variations in deep-convection occurrence. Although the neglect of synoptic forcing is a major simplification, it provides a simple and direct evaluation of topographic effects in the absence of other mitigating factors. Moreover, given that the horizontal scales of synoptic forcing are typically larger than the width of the Mississippi Valley, and that such forcing is climatologically weak during midsummer, it is unlikely to single handedly produce the detailed mesoscale variations seen in Fig. 1c.
In environments lacking synoptic-scale forcing for ascent, afternoon convection initiation is promoted by various surface-based processes including (i) broad destabilization from diurnal heating, (ii) mechanically and thermally forced orographic ascent, and (iii) thermal circulations and frictional convergence driven by variations in land use and land cover. Mechanical orographic ascent is facilitated by the weak stability of the convective boundary layer, which submerges all of the regional mountains and allows impinging flow to easily surmount them. This weak stability also maximizes the strength of thermal circulations driven by differential surface heating (e.g., Kirshbaum 2013).
A single model domain is used with a horizontal grid spacing of
Other subgrid parameterizations include the Mellor–Yamada–Janjić surface and boundary layer schemes, a Smagorinsky-type horizontal turbulent-mixing scheme, the Goddard shortwave and Rapid Radiative Transfer Model longwave radiation schemes, and the Morrison two-moment cloud microphysics scheme. The initial flow (described below) is assumed to be in geostrophic balance, hence the Coriolis force is applied only to flow perturbations using an f-plane approximation with a characteristic midlatitude value of f = 10−4 s−1. The surface skin temperature
Because
A total of 15 initial flows are considered from July to August 2013, all taken from the mornings of “airmass” convection events where clear skies transitioned to scattered deep convection over the Mississippi Valley region in the afternoon. Consideration of weakly forced events is consistent with our quasi-idealized model setup, in which large-scale forcing is neglected. The sounding for each case is obtained by averaging (in height) the corresponding 1200 UTC radiosondes from Little Rock, Arkansas; Jackson, Mississippi; and Shreveport, Louisiana (see Fig. 1a for city locations). Examples of three such soundings (Fig. 2a) indicate surface-based nocturnal inversions overlaid by deep layers of conditional instability and high relative humidity. Statistics of equivalent potential temperature
(a) Examples of soundings from three events: 10 Jul (blue), 9 Aug (green), and 23 Aug 2013 (red). Short (long) wind barbs correspond to 5 (10) m s−1. Statistics of soundings over the full 15 events, including (b) equivalent potential temperature, (c) relative humidity, and (d) zonal and (e) meridional wind components, respectively. The mean profile is shown in the thick line, the mean profile
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
The simulations are integrated from 1200 to 0000 UTC the next day (or 0600–1800 LST), thus capturing half the diurnal cycle and encompassing the 1300–1700 LST afternoon period. Three simulations are conducted for each event: one with both land use/cover and terrain variations (FULL), one with terrain variations but uniform land use/cover (set to cropland/woodland mosaic, a common land-use type within the Mississippi Valley, as seen in Fig. 3a) (TERRAIN), and one with land use/cover variations but flat terrain (LANDUSE). Note that the TERRAIN simulations prescribe the same land surface index at all model grid points, which removes all land-use variation and land–water contrasts. Note also that the name “LANDUSE” herein refers to both land-use variations (e.g., from agriculture, urbanization, etc.) and land-cover variations (e.g., from land–water contrasts).
Topography for the numerical simulations, including (a) USGS land-use index, (b) surface albedo, (c) volumetric soil moisture fraction, and (d) terrain height. The asterisk and box in (d) correspond to the domain center point and the interior region with full terrain (outside of which the terrain was gradually decayed to zero). The lines A–A′ and B–B′ in (d) correspond to the two vertical cross sections shown in Fig. 6.
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
In initial experiments using the real orography over the entire model domain, large-amplitude inertia–gravity waves developed at the lateral boundaries that propagated into the interior, corrupting the solution everywhere. To eliminate these spurious waves, we decay the orography to zero outside of the Mississippi Valley region. The real terrain is retained over a box centered at 34°N, 91.5°W with a radius of 500 km, outside of which it is gradually reduced to zero using a Gaussian function with a half-width of 200 km along both horizontal directions (Fig. 3d). Experiments increasing the box size and the outer decay rate indicated virtually no sensitivity of the Mississippi Valley convection to these settings (not shown). The USGS land surface classifications are retained over the entire domain (Fig. 3a), the albedo and volumetric soil-moisture content of which are shown in Figs. 3b and 3c.
4. Results
a. Description
To enable direct comparison between observations and simulations, the simulated reflectivity is calculated at the lowest model grid level at each model output time of each simulation, then processed to obtain a simulated
Frequency of simulated radar reflectivity exceeding 40 dBZ over 1300–1700 LST (or
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
While the FULL simulations reproduce the sea-breeze-driven convection enhancement along the Gulf Coast seen in the LANDUSE simulations, their
b. Interpretation
The sensitivity of simulated
Averaged (a)–(c) horizontal convergence at 10 m AGL and (d)–(f) mean-layer (0–500 m AGL) CIN, of the 15 simulations for each topography type (FULL, TERRAIN, and LANDUSE) at 1100 LST. Black lines show terrain-height contours at 100, 250, and 500 m.
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
The reduced CIN over the high terrain in Figs. 5d,e and 5g,h arises primarily from the protrusion of the mountainous terrain above the nocturnal inversions (e.g., Fig. 2). In ascending from sea level to 600 m (the approximate height of Ozarks ridgeline in Arkansas), the CIN of the ensemble-averaged initial sounding decreases from 205 to 46 J kg−1 while the CAPE increases from 595 to 1713 J kg−1. The vertical variations in CIN translate into large spatial differences in mean-layer CIN over varying terrain: the initial CIN within the valley is generally more than 100 J kg−1 larger than that over surrounding areas. These spatial differences in CIN gradually diminish throughout the simulations until about 1400 LST, when CIN reduces to zero over the entire domain (not shown). The reduced CIN over the mountains allows convection to initiate more readily there than within the Mississippi Valley, at least early into the analysis period.
Other notable features in Figs. 4 and 5 include the sea-breeze-driven convergence just inland of the Gulf Coast in the LANDUSE and FULL simulations, which gives rise to the aforementioned
To gain insight into the vertical structure of the regional flow, Fig. 6 presents vertical cross sections of ensemble- and time-averaged (over the preconvective 1000–1100 LST period)
Vertical cross sections of
Citation: Monthly Weather Review 144, 1; 10.1175/MWR-D-15-0238.1
Cross-section B–B′, by contrast, reveals substantial vertical motion as the mean south-southwesterly low-level flow parallels the complex Arkansas terrain (Fig. 6b). This mechanically forced ascent is consistent with a mountain Froude number
5. Discussion
Because the FULL simulations include both land-use and terrain variability, they are nominally the most realistic and thus the most comparable with observations. These simulations broadly reproduce the Mississippi Valley convection minimum over 32°–37°N (Figs. 4a and 1c), and hence likely capture at least some of the key physical processes underlying it. The similarity of this regional
On the other hand, the
The simulated convection minimum along the Mississippi Valley in the FULL simulations is also less coherent than that in the long-term observations (or in the TERRAIN simulations, for that matter), which appears to stem from an oversensitivity to land-use heterogeneities. Although many of the
The simulations’ oversensitivity to land-use variations within the Mississippi Valley may stem from their highly simplified land surface scheme and/or the small numerical sample size, the latter of which may allow a few strong events to exert disproportionate influence. But an even stronger contribution to this bias may arise from our exclusive consideration of airmass convection events under weak synoptic forcing. The light winds and small CIN of such events renders the convection highly responsive to mesoscale thermal anomalies over topographic features, due to their local destabilizing effects and strong thermal forcing. In contrast, the broader cloud cover and stronger winds of synoptically disturbed events would tend to suppress such thermal anomalies by weakening insolation and increasing heat ventilation. Because land-use heterogeneities influence deep convection primarily through thermal forcing (e.g., Souza et al. 2000; Rozoff et al. 2003; Niyogi et al. 2011), their impacts would thus tend to weaken under stronger synoptic forcing. By the same logic, mountain thermal forcing would also diminish in such events. However, because the orographic forcing is largely mechanical in nature (Fig. 6), it would thus tend to increase under stronger winds (e.g., Kirshbaum and Wang 2014). Therefore, consideration of the full spectrum of events would likely produce a more coherent, and thus more realistic, convection minimum within the valley.
6. Conclusions
As shown by a recent 15-yr radar climatology over the continental United States, a mesoscale minimum of convection occurrence exists over the Mississippi Valley during midsummer (July–August) afternoons (1900–2300 UTC or 1300–1700 LST), with the valley experiencing roughly half the occurrence of its surroundings (Fabry et al. 2013). While the strong correlation between this convection minimum and the regional topography suggests a causal connection between the two, the topography itself is unremarkable, with terrain relief of a few hundred meters and modest land-use heterogeneities. Nonetheless, we hypothesized that these modest topographic variations, through their mechanical and thermal forcing for ascent, are responsible for the valley convection minimum. To test this hypothesis, we performed quasi-idealized, convection-permitting numerical simulations with the Weather Research and Forecasting (WRF) Model. The simulations used the real orography and land use of the region but were initialized horizontally homogeneously from morning soundings on days of afternoon airmass convection under weak synoptic forcing and light ambient winds.
The simulations broadly reproduced the valley convection minimum and thus supported the hypothesis that the regional topography was behind it. Sensitivity simulations further revealed that the regional orography, rather than land-use heterogeneities, was the dominant cause of this feature. Thus, even modest terrain relief (here less than 1 km) can exert strong control over regional convection occurrence. Over the higher terrain, reduced convective inhibition coincided with increased surface-based ascent to promote convective initiation. The reduced inhibition was associated with weaker initial static stability as the terrain protruded above the nocturnal inversion. The increased ascent was mainly associated with the mechanical lifting of impinging flow over the terrain (rather than mountain thermal circulations), which created vertically coherent updrafts in the convective boundary layer that transitioned into mountain waves in the free troposphere.
The numerical simulations only considered a small subset of convection events within the Mississippi Valley: synoptically undisturbed, airmass convection events. As a possible result, the simulated convection minimum was less coherent than the observed minimum, with isolated maxima forming in the valley in response to mesoscale land-use variations. While such discrepancies between the observations and simulations may relate to limitations of the model setup (coarse grid resolution, a simple land surface scheme, insufficient sampling of events, etc.), they may also stem from our neglect of synoptic forcing. Although such forcing is typically weak in the southeast United States during midsummer, it still significantly influences the summer regional precipitation climatology (e.g., Diem 2006). We speculate that, because the stronger winds and broader cloud cover of synoptically disturbed events would tend to suppress thermal circulations within the valley while enhancing mechanical lifting by the orography, the inclusion of such events would give rise to a sharper valley convection minimum.
The current findings apply strictly to the Mississippi Valley in midsummer and may not extend to other geographic regions or seasons. For example, the valley convection minimum during these months is much more pronounced than that in May and June (not shown). Such seasonal variation may stem from the stronger upper-level forcing during the late spring, which limits the relative impact of the regional topography. Similarly, river valleys in different geographic regions may exhibit different regional convection patterns than that observed herein. For example, within southern Québec and northern New York state, summer convection appears to be diminished, rather than enhanced, over higher terrain (Wasula et al. 2002; Bellon and Zawadzki 2003; Kovacs and Kirshbaum 2015, manuscript submitted to J. Appl. Meteor. Climatol.). Physically interpreting these patterns, and contrasting them with those over the Mississippi Valley, is a topic of ongoing study.
Acknowledgments
This project was undertaken with the financial support of the government of Canada provided through the Department of the Environment. The first author was supported by Natural Science and Engineering Research Council (NSERC) Discovery Grant NSERC/RGPIN 418372-12, and numerical simulations were performed on the Guillimin supercomputer at McGill University, under the auspices of Calcul Québec and Compute Canada. The authors are grateful to Russ Schumacher and two anonymous reviewers for insightful comments on an earlier version of the manuscript.
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