1. Introduction
The ongoing, global trend of urbanization causes land-use changes at local and regional scales. Urban surfaces are rougher and typically also much drier than rural surfaces, and the three-dimensional nature of urban landscapes further alters the radiation and surface energy balance. As a result, cities are known to affect weather and climate at multiple scales. One of the most widely known and intensively studied phenomena of urban weather modifications is the so-called urban heat island (UHI) effect, in which near-surface temperatures in metropolitan areas are typically higher than in the surrounding rural areas (Oke 1976, 1982; Arnfield 2003). Biophysical hazards such as heat stress, air pollution, and associated public health problems have been linked to UHI development (Zhang et al. 2009; Zhou and Shepherd 2010; Steeneveld et al. 2011; Chow et al. 2012; Fischer et al. 2012), which puts urban populations at even higher risks if the frequency of regional heat waves increases as a result of global climate change. Daily averages of UHI intensity, quantified as the difference between temperatures in the urban canopy layer and surrounding rural areas, have been reported to be 1°–3°C or even higher (Shahgedanova et al. 1997; Morris et al. 2001; Gedzelman et al. 2003; Liu et al. 2006; Grimmond 2007; Zhang et al. 2007; Fung et al. 2009; Miao et al. 2009; Mohan et al. 2012; Loughner et al. 2012; Brandsma and Wolters 2012).
The UHI intensity is related to the intrinsic characteristics of a city (Oke 1981, 1982; Grimmond 2007; Rizwan et al. 2008; Hidalgo et al. 2008; Nichol et al. 2009; Georgakis et al. 2010; Ryu and Baik 2012; Mohan et al. 2013) and external meteorological factors (Oke 1982; Mihalakakou et al. 2002). Oke et al. (1991) used a simple energy balance model to assess the relative importance of the commonly stated intrinsic causes of UHI under calm, cloudless conditions, including anthropogenic heat, thermal properties/moisture availability of the materials of the city, street canyon geometry, and urban greenhouse gases. The first three of these were identified as the main intrinsic causative factors contributing to the UHI intensity in a modeling study conducted by Ryu and Baik (2012). Mohan et al. (2013) also reported that the UHI intensity varies significantly in different parts of Delhi because of different densities of the built-up structures. The external meteorological factors known to modulate the UHI intensity include cloudiness, solar radiation, and wind speed (Unger et al. 2001; Morris et al. 2001; Fast et al. 2005; Souch and Grimmond 2006; Alonso et al. 2007; Steeneveld et al. 2011). The dependence of UHI intensity on the meteorological factors varies significantly among different times and different locations. Runnalls and Oke (1998) reported that nocturnal UHI magnitude decreased with increasing wind and cloudiness in Vancouver, British Columbia, Canada. Morris et al. (2001) found that the UHI in Melbourne, Australia, was inversely proportional to approximately the fourth root of both the wind speed and the cloud amount but that the fidelity of the regression relationships varied among seasons because other factors may also become important. Fast et al. (2005) reported that summertime UHI in Phoenix, Arizona, decreased with increasing cloud cover whereas it showed negligible dependence on surface wind speed. In a study of the seasonal variation of UHI intensity of a Hungarian city, climatological cloudiness and wind speed were shown to play negative roles on the development of UHI in certain months of a year (Unger et al. 2001). An investigation of UHI intensity in Dutch cities generally showed a weak correlation with incoming solar radiation and surface wind speed, but the dependence varied among the different cities (Steeneveld et al. 2011). Even though the understanding of relevant factors, strength, and spatial extent of UHI phenomena advanced during the past few decades, methods to estimate and predict UHI intensity as a function of time, weather conditions, and structural attributes are still needed (Arnfield 2003). Stewart (2011) also stressed the need for better documentation of metadata for observation sites that are used to determine the UHI intensity and proposed the use of a local climate zone classification system instead of the typically used two-type classification into rural and urban sites (Stewart and Oke 2012).
In 2003, Oklahoma City, Oklahoma (OKC; 35.468 762°N, 97.516 304°W), spanned ~1610 km2 and had a population of ~523 000. It is one of the 10 largest cities by land area in the United States. The urbanized area of OKC spanned ~630 km2, which is significantly less than the total area. Embedded within the urbanized area is a well-defined central business district (CBD) that spanned ~20 km2, with the average building height in 2003 being around 50–70 m and the tallest building being 152 m high (Burian et al. 2005). General characteristics of the UHI in OKC were investigated by Basara et al. (2008). During nighttime (roughly 2100–0600 local time), the UHI intensity in OKC was on average approximately 1.5°C in July of 2003, and the daytime UHI intensity decreased to approximately 0.5°C. Even though the nocturnal UHI was consistently observed, the intensity was variable, with values ranging between 1° and 4°C on individual nights (Basara et al. 2008; Klein et al. 2010). The observed diurnal variation of UHI intensity is consistent with the generally accepted view that the UHI is primarily a nocturnal phenomenon (Tumanov et al. 1999; Lemonsu and Masson 2002; Arnfield 2003; Souch and Grimmond 2006; Basara et al. 2008; Cui and de Foy 2012; Camilloni and Barrucand 2012). Open questions still remain about the factors that contribute to the day-to-day variability of the nocturnal UHI in OKC and in other cities.
Most of the UHI studies concluded that UHI signatures are strongest at night. Interactions between the UHI phenomena and other features of the nocturnal boundary layer (NBL) are thus of particular interest. The nocturnal low-level jet (LLJ), a stream of fast-moving air with a wind speed maximum in the lowest 2 km (Blackadar 1957; Hoecker 1963; Bonner 1968; Stull 1988; Whiteman et al. 1997), is one prominent feature of the NBL in the Great Plains of North America. The vertical shear of the horizontal wind associated with the nocturnal LLJ plays an important role in the generation of turbulence in the layer between the jet maximum or “nose” and the earth's surface (Banta et al. 2003, 2006; Balsley et al. 2008). In contrast to the “traditional” boundary layer where turbulence is generated at the surface and transported upward, wind shear associated with LLJs can generate turbulence aloft and turbulence is transported downward, leading to the formation of the “upside down” boundary layer (Mahrt and Vickers 2002; Banta et al. 2006). Nocturnal LLJs form following the attenuation of daytime convective turbulent mixing, allowing nighttime winds above a stable boundary layer to accelerate to supergeostrophic wind speeds (Blackadar 1957; Parish and Oolman 2010). Other mechanisms can also contribute to the jet acceleration. Because of conservation of potential vorticity, northward-moving airflow can be accelerated as the Coriolis parameter increases with increasing latitude (Wexler 1961; Zhong et al. 1996). The diurnal heating and cooling cycle of terrain slopes can also contribute to the ageostrophic wind component at night through formation of the thermal wind, thus accelerating the LLJ (Holton 1967; Ryan 2004). On the basis of LLJ strength (i.e., wind maximum at the jet nose) and decrease in speed above the jet, LLJs are sometimes subjectively classified into three categories with LLJ strengths between 12 and 16 m s−1, between 16 and 20 m s−1, and above 20 m s−1, respectively (Bonner 1968; Whiteman et al. 1997). The summertime Great Plains LLJ of the central United States has been the subject of numerous investigations during the past several decades (Wexler 1961; Zhong et al. 1996; Whiteman et al. 1997; Higgins et al. 1997; Parish and Oolman 2010). It is usually centered geographically over the southern Great Plains from Texas northward to Nebraska, with a maximum over northern Oklahoma and southern Kansas, and plays an important role in the transport of moisture, momentum, and air pollutants.
More recent studies focused on the climatological description of LLJs (Song et al. 2005, Zhang et al. 2006; Lundquist and Mirocha 2008), the role of topography in LLJ evolution (Ting and Wang 2006; He and Zhang 2010; Sun and Zhang 2012), improved analytical descriptions of the LLJ (Shapiro and Fedorovich 2009, 2010), and the influence of the LLJ on the structure, dynamics, and mixing in the NBL (Banta et al. 2002, 2003). To date, few measurements of LLJs in and near urban areas (e.g., De Wekker et al. 2004; Wang et al. 2007; Lundquist and Mirocha 2008; Kallistratova and Kouznetsov 2012) have been available. Wang et al. (2007) measured LLJ profiles with a Doppler lidar and two radar wind profilers during the Joint Urban 2003 (JU2003) tracer experiment (Allwine et al. 2004). Using range–height indicator scans from the lidar, they could study the impact of urban effects on LLJ height and strength. Over the urban area, the LLJs were ~25–100 m deeper and the velocities below the jet nose were ~10%–15% slower than over suburban terrain. De Wekker et al. (2004) and Lundquist and Mirocha (2008) also concluded that LLJs were frequently observed during the JU2003 experiment. Strong shear on the underside of the LLJ was found to induce strong turbulent mixing that can propagate downward to the surface (Banta et al. 2006; Lundquist and Mirocha 2008). Kallistratova and Kouznetsov (2012) conducted a study using sodars to measure LLJs in and near Moscow, Russia. They also observed higher and weaker jets in urban areas than at a rural site, which they explained by impacts of the UHI.
While these urban studies highlight that urban effects influence the LLJ dynamics, it remains unclear to what extent LLJ dynamics affect the UHI development and intensity. Since UHIs and LLJs are both frequently observed in the OKC metropolitan area, it is an ideal location to further study the interactions between these two nocturnal phenomena. In this study, the daily variation of nocturnal UHI intensity in OKC during July of 2003 and its relationship with LLJ development are thus investigated to test the hypothesis that shear-generated turbulent mixing below the LLJ nose plays an important role in modulating UHI intensity. To test this hypothesis, JU2003 observations of near-surface meteorological variables and boundary layer profiles were analyzed. Numerical simulations with the Weather Research and Forecasting (WRF) model, version 3.4 (Skamarock et al. 2008) were evaluated against data from the Oklahoma Mesonet (McPherson et al. 2007) and provided additional insight about regional-scale weather patterns and urban–rural contrasts. The simulations also enable assessment of the utility of rural inversion strength in predicting the strength of the UHI.
The paper is organized as follows. In section 2, the datasets and configurations of the WRF simulations used in this study are described. In section 3, the relationship between LLJs and UHI is statistically examined using observations and model simulations. The paper concludes in section 4 with a summary of the main findings and a discussion about the uncertainties of model simulations and implications for future studies of LLJs.
2. Methods
a. Observations
The JU2003 tracer experiment (Allwine et al. 2004), a field experiment that was conducted in the OKC metropolitan area from 28 June to 31 July 2003 as a joint effort involving several government laboratories, universities, and private companies, primarily focused on providing datasets for the improvement and evaluation of urban dispersion models. In addition to tracer gas detectors, multiple meteorological observation systems were deployed across the OKC metropolitan area, including the systems discussed here that are most relevant to this study.
Boundary layer radar wind profilers were operated almost continuously during the entire month of July of 2003 in OKC by the Pacific Northwest National Laboratory (PNNL) and the Argonne National Laboratory (ANL; De Wekker et al. 2004). The PNNL and ANL sites were located approximately 2 km south and 5 km north of downtown OKC, respectively (Fig. 1b). The radar wind profilers collected data with a vertical resolution of 55 m and a consensus interval of 25 min. Lundquist and Mirocha (2008) investigated the LLJ properties during JU2003 using data from the profiler at the PNNL site. From their analysis, only four nights (i.e., 1, 11, 12, and 23 July) during the entire project did not meet the criteria for development of a LLJ at the PNNL site. Data below 300 m are not available from the PNNL wind profiler (Lundquist and Mirocha 2008), however, which limits the detectability of LLJs with a nose below 300 m (e.g., those on 1 and 11 July). In this study, we therefore used data from the ANL wind profiler, which provides coverage from 82 to ~2700 m (De Wekker et al. 2004), to investigate any possible links between LLJ dynamics and UHI trends.

(a) Map of model domains and terrain height, (b) land-use categories in the center part of domain 5, and (c) the same around NRMN as used in this study. The urban land-use categories (i.e., 31–33) were retrieved from the 2006 NLCD. The locations of six mesonet sites around OKC (i.e., ELRE, GUTH, KING, MINC, NRMN, and SPEN) and the ANL and PNNL sites are marked in (b). Land-use categories are defined below in Table 2.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

(a) Map of model domains and terrain height, (b) land-use categories in the center part of domain 5, and (c) the same around NRMN as used in this study. The urban land-use categories (i.e., 31–33) were retrieved from the 2006 NLCD. The locations of six mesonet sites around OKC (i.e., ELRE, GUTH, KING, MINC, NRMN, and SPEN) and the ANL and PNNL sites are marked in (b). Land-use categories are defined below in Table 2.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
(a) Map of model domains and terrain height, (b) land-use categories in the center part of domain 5, and (c) the same around NRMN as used in this study. The urban land-use categories (i.e., 31–33) were retrieved from the 2006 NLCD. The locations of six mesonet sites around OKC (i.e., ELRE, GUTH, KING, MINC, NRMN, and SPEN) and the ANL and PNNL sites are marked in (b). Land-use categories are defined below in Table 2.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Radiosonde profiles were measured at the PNNL site during four nighttime intensive observational periods (IOPs). Temperature profiles during two nighttime IOPs (i.e., 18–19 and 24–25 July) are included in the current analysis to illustrate the atmospheric stabilities during those nights.
Heat and momentum fluxes measured with sonic anemometers at two levels (37.3 and 79.6 m) installed at the Tyler Media (TM) tower were used to illustrate the impact of LLJs on turbulent mixing. The TM tower was operated by the University of Indiana and was located 5.5 km south of downtown OKC (Grimmond et al. 2004).


The mean urban temperature Turban for OKC at 2 and 9 m was calculated using temperature data collected by the HOBO and PWIDS instruments, respectively. The mean rural temperature Trural at 2 and 9 m was calculated using the temperature observed at six Oklahoma Mesonet sites surrounding the OKC metropolitan area [El Reno (ELRE), Guthrie (GUTH), Kingfisher (KING), Minco (MINC), Norman (NRMN), and Spencer (SPEN); see Figs. 1b,c]. The Oklahoma Mesonet is a rural network with minimal influences from urban landscapes (McPherson et al. 2007; Basara et al. 2008). As a result of the urbanization in recent years, NRMN station was at the edge of an urban area by 2006 according to the U.S. Geological Survey (USGS) 2006 National Land Cover Data (NLCD; Fig. 1c), and rural sites to the north-northeast (SPEN especially) may be influenced by advection of warmer air from OKC, which could potentially result in an underestimation of the UHI intensity. The ELRE site west of the metropolitan area is known to experience rapid in situ cooling, however, that results in stronger and more frequent near-surface inversions than at other nearby mesonet sites (Hunt et al. 2007), which argues for using average values for assessing the rural background temperature. A more detailed description about the characteristics of both urban and rural stations was given by Basara et al. (2008). When comparing UHI intensities at 2 and 9 m, Basara et al. (2008) found that the average nighttime UHI was around 2°C at 2 m but decreased to 1.5°C at 9 m during JU2003. General characteristics of the UHI in OKC in July of 2003 were reported in Basara et al. (2008); the study presented here focuses on addressing the unresolved question regarding the day-to-day variation of the nocturnal UHI intensity in OKC. Since the 2-m urban observations were only recorded during the JU2003 experiment, we have decided to primarily use the 9-m UHI signal for our analysis. This will allow us to expand the study over a longer time period in the future. For selected episodes, however, a comparison of 2- and 9-m UHI intensities is presented in section 3.
Meteorological data collected by the Oklahoma Mesonet (McPherson et al. 2007) were also used in this study for evaluating the WRF model output. The spacing between mesonet stations is approximately 30 km, and meteorological observations are collected and stored every 5 min (Fiebrich and Crawford 2001). The mesonet observations used in this study included air temperature at 1.5 and 9 m AGL and wind speed at 10 m AGL.
b. Three-dimensional simulations
To investigate the relationship between LLJs and UHI, three-dimensional WRF (Skamarock et al. 2008) simulations were conducted for four nights (17/18, 18/19, 24/25, and 25/26 July), which were selected as study periods after analyzing the JU2003 data. Four 44-h simulations were initialized at 0000 UTC on 17, 18, 24, and 25, July, respectively. Five one-way nested domains (Fig. 1a) were employed, with horizontal grid spacings of 40.5, 13.5, 4.5, 1.5, and 0.5 km, respectively. Each domain had 48 vertical layers extending from the surface to 100 hPa. The model sigma levels and midlayer heights of the lowest 20 model layers are shown in Table 1. All model domains used the Dudhia shortwave radiation algorithm (Dudhia 1989), the Rapid Radiative Transfer Model (Mlawer et al. 1997) for longwave radiation, and the WRF single-moment six-class (WSM6) microphysics scheme (Hong et al. 2004). The Yonsei University (YSU; Hong et al. 2006) planetary boundary layer (PBL) scheme was initially chosen, but it was noted that LLJ strength was underestimated by YSU. Previous studies concluded that nonlocal mixing schemes such as the YSU scheme tend to simulate weaker LLJs because of unrealistic, strong momentum mixing during nighttime (Storm et al. 2008; Hu et al. 2010; Shin and Hong 2011; Floors et al. 2013). The Asymmetric Convective Model, version 2 (ACM2), scheme (Pleim 2007a,b) considers nonlocal mixing during the daytime but uses a local mixing approach in the stable boundary layer. It performs well during the daytime when a nonlocal scheme is essential for capturing mixing by large-scale convective motions (Hu et al. 2010; Kolling et al. 2012; Draxl et al. 2013). At night, the local scheme limits the vertical mixing, which results in more realistic wind speed gradients (Shin and Hong 2011; Xie et al. 2012). Thus, the ACM2 scheme was selected for the simulations presented in this study. To simulate the thermodynamic and dynamic effects of urban areas on the atmosphere, the “Noah” land surface scheme (Chen and Dudhia 2001) coupled with a single-layer urban canopy model (UCM; Kusaka et al. 2001) was chosen. To assess the impact of urbanization on living environments and risks, this approach was applied to a few regions, including Houston, Texas (Jiang et al. 2008; Chen et al. 2011a); Washington, D.C., and Baltimore, Maryland (Zhang et al. 2009); the Pearl River Delta and Yangtze River Delta regions of China (Wang et al. 2009); Taipei, Taiwan (Lin et al. 2008); and Beijing, China (Miao and Chen 2008; Miao et al. 2009, 2011). The urban land-use categories (Figs. 1b,c; Table 2) were derived from the NLCD 2006, in which the urban land use was divided into three categories: low-intensity residential (31), high-intensity residential (32), and commercial/industrial (33). For regions other than the urban area, the USGS land-use and soil-category data with resolutions of 10′, 5′, 2′, 30″, and 30″ were used in each domain. The North American Regional Reanalysis with a resolution of approximately 0.3° × 0.3° (32 km) was used for the initial and boundary conditions of all meteorological variables.
Sigma levels and midlayer heights (m AGL) of the lowest 20 model layers. The sigma levels are defined as (p − ptop)/(psurf − ptop), where p is the dry hydrostatic pressure at each corresponding level, psurf is the dry hydrostatic surface pressure, and ptop is a constant dry hydrostatic pressure at model top.


Land-use categories used in the WRF simulations.


3. Results
Satellite-derived land surface temperature is commonly used as a surrogate for the air temperature to analyze the UHI spatial distribution (Voogt and Oke 2003; Brown et al. 2004; Goldreich 2006; Fung et al. 2009; Zhou and Shepherd 2010). Monthly mean daytime and nighttime land surface temperatures in July 2003, retrieved from Moderate Resolution Imaging Spectroradiometer (MODIS) data, clearly depict the nocturnal UHI (Fig. 2). During nighttime, urban effects were prominent around large metropolitan areas, including OKC and Dallas–Fort Worth, Texas (DFW), whereas such an effect cannot be clearly identified in the daytime spatial distribution, confirming the findings of Basara et al. (2008) that the UHI is primarily a nocturnal phenomenon in OKC. From Fig. 2a, it can also be noticed that the urban area of OKC is smaller than that of DFW and nighttime temperatures are lower in OKC than in DWF, confirming previous findings that nocturnal UHI intensity increases with city size (Arnfield 2003). While the UHI intensities reported in this study may thus underestimate the impact of larger cities on the thermal climate, the datasets available for OKC provided a unique opportunity to investigate the role of synoptic conditions in modulating UHI intensity.

MODIS-detected land surface temperature during (a) nighttime and (b) daytime in July 2003. Red dots highlight the six Oklahoma Mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

MODIS-detected land surface temperature during (a) nighttime and (b) daytime in July 2003. Red dots highlight the six Oklahoma Mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
MODIS-detected land surface temperature during (a) nighttime and (b) daytime in July 2003. Red dots highlight the six Oklahoma Mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
As discussed in the introduction, the Great Plains LLJ is frequently observed in and near OKC, and shear-generated turbulence below the jet nose can strongly influence turbulent mixing and the structure of the NBL (Banta et al. 2003, 2006; Lundquist and Mirocha 2008). The LLJ will thus likely also affect the nocturnal UHI intensity. Nocturnal turbulence kinetic energy (TKE) was reported to scale better with LLJ strength (i.e., the maximum wind speed at the jet nose) than with some surface variables. Thus, LLJ strength is likely a key factor in modulating the structure of the NBL and UHI intensity (Banta et al. 2003, 2006). The relationship between LLJ strength and mean nocturnal UHI intensity in July of 2003 is illustrated in Fig. 3. Lundquist and Mirocha (2008) used a maximum wind speed larger than 10 m s−1 followed by a decrease above this maximum of at least 5 m s−1 as LLJ criteria. On 1, 11, 12, 23, and 31 July, such LLJ criteria were not met as shown by the PNNL wind profiler data, but upon further analysis of the ANL wind profiler data a local wind speed maximum existed in the boundary layer. Thus, the local maximum wind speeds in the lower 800 m AGL at night were taken as the LLJ strength in our study. The mean nocturnal UHI intensity for each night was computed using the temperature differences ΔT in (1) for the time window [2115–0620 central standard time (CST); CST = UTC − 6 h] during which the OKC UHI was most prominent in July of 2003 (Basara et al. 2008). The mean nocturnal UHI intensity showed significant inverse correlation with the strength of the LLJs (with a Pearson's correlation coefficient of −0.81; Fig. 3). The observed vertical wind profiles at various locations in the OKC metropolitan area (including the CBD wake, CBD, urban, suburban, and rural) showed that LLJ strength varied very little (<0.5 m s−1) at those locations (Wang et al. 2007). Thus, the impact of urban effects on LLJ strength is negligible and it is unlikely that urban effects can change the daily nocturnal LLJ strength by more than 10 m s−1 as observed during JU2003. Therefore, the high correlation shown in Fig. 3 can only suggest that variations in LLJ strength played an important role in modulating the UHI intensity.

(top) Time series of observed mean nocturnal UHI intensity (UHII) at 9 m and strength of LLJ (maximum wind speed at the jet nose) over OKC in July 2003 and (bottom) their correlation. As reported in Basara et al. (2008), the UHI in OKC during JU2003 was most prominent between 2115 and 0620 CST; therefore, the mean nocturnal UHII was computed over this time window.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

(top) Time series of observed mean nocturnal UHI intensity (UHII) at 9 m and strength of LLJ (maximum wind speed at the jet nose) over OKC in July 2003 and (bottom) their correlation. As reported in Basara et al. (2008), the UHI in OKC during JU2003 was most prominent between 2115 and 0620 CST; therefore, the mean nocturnal UHII was computed over this time window.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
(top) Time series of observed mean nocturnal UHI intensity (UHII) at 9 m and strength of LLJ (maximum wind speed at the jet nose) over OKC in July 2003 and (bottom) their correlation. As reported in Basara et al. (2008), the UHI in OKC during JU2003 was most prominent between 2115 and 0620 CST; therefore, the mean nocturnal UHII was computed over this time window.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
To better understand the role of the LLJ in modulating the UHI, two nights with strong UHI intensities (i.e., the nights of 17/18 and 18/19 July) and two nights with weak UHI intensities (i.e., the nights of 24/25 and 25/26 July) were chosen for further investigation. As determined from MODIS satellite images, the sky was clear on these four nights. Figure 4 shows the time series of UHI intensity at 2 and 9 m in OKC on those days. As expected from the analysis of Basara et al. (2008), the daytime UHI intensity in OKC was weak, negligible, or even negative, especially at 2 m. UHI intensity increased prominently around the evening transition and then stayed at a roughly constant level throughout the night. These UHI characteristics in OKC are consistent with findings for other cities, such as Bucharest, Romania (Tumanov et al. 1999); Paris, France (Lemonsu and Masson 2002); and London, United Kingdom (Bohnenstengel et al. 2011). Clear differences in UHI intensity emerge on different nights: during the nights of 17/18 and 18/19 July the mean UHI intensity was 2.4°C (9 m), whereas the mean UHI intensity was only 0.8°C (9 m) on the nights of 24/25 and 25/26 July. UHI intensity increased by ~1°C when computed at 2 m for the nights of 17–19 July, and it stayed the same for the nights of 24–26 July. Brown et al. (2004) also reported UHI intensities determined by mobile measurements from a car that drove across the OKC metropolitan area along different routes transecting rural, suburban, and urban terrain for the two chosen time periods. During 25/26 July, the UHI intensity (~0.9°C) tended to be lower than during the nights of 17–19 July (~4.5°C). Hereinafter, 17–19 July is referred to as the strong-UHI episode and 24–26 July is referred to as the weak-UHI episode. The analyses presented in the remainder of this paper focus on identifying the causes of the pronounced differences in UHI intensity during these two episodes.

Time series of observed UHI intensity at 2 and 9 m on days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Time series of observed UHI intensity at 2 and 9 m on days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Time series of observed UHI intensity at 2 and 9 m on days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The stability and nocturnal boundary layer structure for the strong-UHI episode and the weak-UHI episode showed distinct differences, which are illustrated in the potential temperature profiles measured by the radiosondes released at the PNNL site (Fig. 5). Strong temperature inversions developed near the surface on the night of 18/19 July (Fig. 5a), and a much weaker inversion (nearly neutral) yet thicker boundary layer developed on the night of 24/25 July (Fig. 5b) in the presence of a strong LLJ, with the maximum wind speed at the jet nose as strong as 19.3 m s−1. The nearly neutral nocturnal boundary layer explains the similar UHI intensities evaluated at both 2 and 9 m on the nights of the weak-UHI episode (Fig. 4b). It is hypothesized that 1) stronger LLJs occur with weaker temperature inversions and vice versa and that 2) the environmental temperature inversion strength is a useful indicator for UHI intensity.

Vertical profiles of observed potential temperature at the PNNL site (a) on the night of 18/19 July with strong UHI and (b) on the night of 24/25 July with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Vertical profiles of observed potential temperature at the PNNL site (a) on the night of 18/19 July with strong UHI and (b) on the night of 24/25 July with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Vertical profiles of observed potential temperature at the PNNL site (a) on the night of 18/19 July with strong UHI and (b) on the night of 24/25 July with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Synoptic-scale weather conditions have been reported to affect the UHI intensity by a few studies (Unger 1996; Tumanov et al. 1999; Morris and Simmonds 2000; Mihalakakou et al. 2002). Synoptic surface weather maps at 0600 CST are displayed in Fig. 6 to examine the similarities and differences among the large-scale forcings on the four nights. During the strong-UHI episode, the pressure gradient was relatively weak in Oklahoma, resulting in low to moderate wind speeds. On the nights of the weak-UHI episode, high pressure centers resided in the eastern United States and extended westward into the southern Great Plains. The pressure gradient over most of the Great Plains is from east to west or southeast to northwest. Such pressure gradients and the blocking effect of the Rockies forced airflow from southerly latitudes into the south-central United States, thus contributing to the acceleration of the southerly or southwesterly LLJs during nighttime (Wexler 1961; Zhong et al. 1996). As a result, stronger LLJs were detected over OKC during the weak-UHI episode. On those nights, the maximum wind speeds at jet-nose level were as high as >19 m s−1 (Figs. 7c,d), whereas the maximum wind speeds on the nights of the strong-UHI episode were 15 and 16 m s−1 (Figs. 7a,b). The LLJ strengths (i.e., the maximum wind speed) of the weak- and strong-UHI episodes fall into LLJ categories 1 and 2, respectively (Bonner 1968; Whiteman et al. 1997).

Surface weather maps on days with (left) strong and (right) weak UHIs. The surface weather map was prepared and archived by the Hydrometeorological Prediction Center of the National Centers for Environmental Prediction (http://www.hpc.ncep.noaa.gov/dailywxmap/).
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Surface weather maps on days with (left) strong and (right) weak UHIs. The surface weather map was prepared and archived by the Hydrometeorological Prediction Center of the National Centers for Environmental Prediction (http://www.hpc.ncep.noaa.gov/dailywxmap/).
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Surface weather maps on days with (left) strong and (right) weak UHIs. The surface weather map was prepared and archived by the Hydrometeorological Prediction Center of the National Centers for Environmental Prediction (http://www.hpc.ncep.noaa.gov/dailywxmap/).
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Time–height diagrams of horizontal wind speed (a)–(d) observed by the boundary layer wind profiler and (e)–(h) simulated by the WRF model and (i)–(l) the model bias (simulated − observed) of horizontal wind speed at the ANL site on (top to bottom) 18 and 19 July (with strong UHI) and 25 and 26 July (with weak UHI). The observed values were interpolated to model levels and time during the calculation of model bias.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Time–height diagrams of horizontal wind speed (a)–(d) observed by the boundary layer wind profiler and (e)–(h) simulated by the WRF model and (i)–(l) the model bias (simulated − observed) of horizontal wind speed at the ANL site on (top to bottom) 18 and 19 July (with strong UHI) and 25 and 26 July (with weak UHI). The observed values were interpolated to model levels and time during the calculation of model bias.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Time–height diagrams of horizontal wind speed (a)–(d) observed by the boundary layer wind profiler and (e)–(h) simulated by the WRF model and (i)–(l) the model bias (simulated − observed) of horizontal wind speed at the ANL site on (top to bottom) 18 and 19 July (with strong UHI) and 25 and 26 July (with weak UHI). The observed values were interpolated to model levels and time during the calculation of model bias.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Three-dimensional WRF simulations were conducted to investigate further the role of the LLJ characteristics on UHI development and intensity. The WRF simulations successfully capture the contrast of LLJ strength on the four nights. Stronger LLJs are simulated on the nights of the weak-UHI episode (Figs. 7g,h), and weaker LLJs are simulated on nights of the strong-UHI episode (Figs. 7e,f) even though a certain degree of model bias exists (Figs. 7i–l). The levels of the jet noses simulated by the WRF model are also consistent with the observations (Fig. 7).
The spatial distributions of 10-m wind speed at 1000 UTC (0400 CST) on the four nights are displayed in Fig. 8. The observations from the Oklahoma Mesonet (McPherson et al. 2007) are overlaid for evaluation. The WRF simulations capture the differences between the selected two episodes and the spatial distribution of wind speed on each day. During the strong-UHI nights, lower 10-m wind speeds persisted over most of Oklahoma (Figs. 10a,b), and wind speeds were higher during the nights of the weak-UHI episode (Figs. 10c,d). The simulations further reproduced the prominent spatial wind speed gradient in Oklahoma on the nights of the weak-UHI episode, with wind speeds increasing from southeast to northwest (Figs. 8c,d).

Spatial distribution of simulated wind speed at 10 m AGL in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. The observed values at the Oklahoma Mesonet sites are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Spatial distribution of simulated wind speed at 10 m AGL in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. The observed values at the Oklahoma Mesonet sites are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Spatial distribution of simulated wind speed at 10 m AGL in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. The observed values at the Oklahoma Mesonet sites are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The WRF simulations also captured the temperature distributions near the surface during both episodes very well (Fig. 9). For the weak-UHI episode, the model predicts a pronounced east-to-west temperature gradient (Figs. 9c,d) that appears to be correlated with the wind speed gradient shown in Figs. 8c and 8d. Similar trends are also seen in the observations.

Temperature at 2 m (T2) in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. Wind vectors show the simulated 10-m wind field. The observed values of temperature are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Temperature at 2 m (T2) in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. Wind vectors show the simulated 10-m wind field. The observed values of temperature are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Temperature at 2 m (T2) in domain 3 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs. Wind vectors show the simulated 10-m wind field. The observed values of temperature are indicated by shaded circles.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The spatial distribution of the winds at ~500 m above the surface (Fig. 10) shows weak LLJs on the nights of the strong-UHI episode and vice versa. The synoptic-scale pressure gradients (Fig. 6) and the terrain (Fig. 1a) play critical roles in determining the spatial distribution of the LLJs. On the nights of the weak-UHI episode, air in the Great Plains flowed northward without interception (Figs. 10c,d). The LLJs on those nights covered a wide region extending from Texas to Wisconsin and Michigan, which can be attributed to multiple factors, including a stronger pressure gradient (Fig. 6), southerly thermal wind induced by stronger nocturnal radiative cooling over the Rocky Mountains (Holton 1967), and an increase of the anticyclonic vorticity of northward-moving flow as a result of meridional variation of the Coriolis parameter (Wexler 1961; Zhong et al. 1996). Note that winds around OKC are westerly on the strong-UHI nights and are southerly on the weak-UHI nights. Because of the closeness and position of SPEN (the mesonet site at the east edge of OKC; Fig. 1b) to the urban area, its surface temperature was higher than at the other rural reference sites during the strong-UHI nights (not shown). Advection of hotter urban air by the westerly wind could thus have caused an underestimation of the UHI intensity during this episode, but by choosing an average value that is based on six rural reference sites low or high biases of individual sites for different atmospheric conditions are minimized.

Simulated wind speed at ~500 m AGL in domain 2 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Simulated wind speed at ~500 m AGL in domain 2 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Simulated wind speed at ~500 m AGL in domain 2 at 1000 UTC on days with (a),(b) strong and (c),(d) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Strong shear associated with strong LLJs caused strong turbulent mixing in the nocturnal boundary layer (Fig. 11). Friction velocities and TKE were measured with sonic anemometers on a tall tower approximately 5 km south of downtown OKC (Grimmond et al. 2004). The measurements taken at an elevation of 37 m above ground were used to investigate turbulent mixing during the two episodes. During the strong-UHI episode, the friction velocities and TKE showed a distinct diurnal variation: when the relatively weak LLJ persisted at night (Figs. 11a,e), friction velocities dropped down to less than 0.2 m s−1 (less than 30% of the daytime values) and TKE decreased to negligible levels (Fig. 11c). Such strong diurnal variations were not observed during the weak-UHI episode: the friction velocities (>0.4 m s−1) and TKE (~1–2 m2 s−2) remained elevated at night (Fig. 11d) as strong LLJs developed in the region (Figs. 11b,f). These elevated friction velocities and TKE indicate enhanced turbulent mixing in the nocturnal boundary layer in the presence of strong LLJs. Lundquist and Mirocha (2008) also reported persistent elevated turbulence in the nocturnal boundary layer on the night of 24/25 July induced by the strong LLJ.

(a),(b) Time–height diagram of horizontal wind speed observed by the boundary layer wind profiler, (c),(d) time series of observed frictional velocity u* and TKE at ~37 m above ground, and (e),(f) vertical profiles of horizontal wind speed on (left) days with strong UHI and (right) days with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

(a),(b) Time–height diagram of horizontal wind speed observed by the boundary layer wind profiler, (c),(d) time series of observed frictional velocity u* and TKE at ~37 m above ground, and (e),(f) vertical profiles of horizontal wind speed on (left) days with strong UHI and (right) days with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
(a),(b) Time–height diagram of horizontal wind speed observed by the boundary layer wind profiler, (c),(d) time series of observed frictional velocity u* and TKE at ~37 m above ground, and (e),(f) vertical profiles of horizontal wind speed on (left) days with strong UHI and (right) days with weak UHI.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Previous studies have shown that turbulent mixing in the nocturnal boundary layer plays an important role in modulating the temperature-inversion strength near the ground. Light wind speeds and clear skies typically favor strong nocturnal radiative cooling in a thin boundary layer (Acevedo and Fitzjarrald 2001; Poulos et al. 2002). Fast et al. (2005) reported that mechanical mixing associated with larger wind speeds reduces or eliminates nocturnal radiational cooling by mixing warmer air from aloft down to the surface. The radiosonde profiles (Fig. 5 and corresponding discussion) provided evidence that the thermal structure within the NBL was different during the two episodes. Spatial distributions of the inversion strength (or vertical temperature gradient) across Oklahoma as observed at the Oklahoma Mesonet sites and as predicted by the WRF simulations (Fig. 12) allow further assessment of the role of the LLJ in triggering these differences. At 1000 UTC, the observed mean temperature inversion at all of the Oklahoma Mesonet sites near the surface was 0.16°C m−1 on 18 July and 0.17°C m−1 on 19 July, as compared with 0.04°C m−1 on 25 July and 0.05°C m−1 on 26 July. The corresponding values from the WRF simulations were 0.11, 0.15, 0.03, and 0.03°C m−1, respectively. The reduced turbulent mixing associated with a weaker LLJ promoted strong cooling near the surface, decoupling of the surface layer from the above residual layer, and thus strong temperature inversions during the two nights of the strong-UHI episode (Figs. 12a,b; also see temperature profiles in Fig. 5a for the strong temperature inversion on the night of 18/19 July). During the second episode (weak UHI), the stronger LLJ contributed to enhanced downward transport of warmer air from aloft that counterbalanced the radiational cooling near the surface and thus resulted in much weaker temperature inversions (Figs. 12c,d; also see Fig. 5b for the nearly neutral temperature profile near the surface on the night of 24/25 July). The role of the LLJ in moderating the temperature inversions during the weak-UHI episode is further supported by the observed and simulated spatial correlations of wind speed and inversion-strength gradients during the weak-UHI episode: in eastern Oklahoma, where lower wind speeds persisted near the ground and aloft (Figs. 8c,d and 10c,d), the inversion strength is higher (Figs. 12c,d).

Vertical temperature gradient dT/dz near the surface at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. The simulated temperature gradient is computed from the simulated temperatures at 2 and ~12 m AGL. The observed gradient values at mesonet sites are indicated by shaded circles and are calculated from the observed temperatures at 1.5 and 9 m AGL.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Vertical temperature gradient dT/dz near the surface at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. The simulated temperature gradient is computed from the simulated temperatures at 2 and ~12 m AGL. The observed gradient values at mesonet sites are indicated by shaded circles and are calculated from the observed temperatures at 1.5 and 9 m AGL.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Vertical temperature gradient dT/dz near the surface at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. The simulated temperature gradient is computed from the simulated temperatures at 2 and ~12 m AGL. The observed gradient values at mesonet sites are indicated by shaded circles and are calculated from the observed temperatures at 1.5 and 9 m AGL.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The WRF model output further allows investigation of the rural–urban contrasts in the thermal structure of the NBL during the two episodes. For this purpose, average vertical temperature profiles that are based on the WRF model output for the urban PWIDS and rural mesonet sites are compared in Fig. 13. The model simulations captured the distinct boundary layer characteristics on the night of 18/19 and 24/25 July, as shown in Fig. 5. In rural terrain, strong inversions developed on the nights of the strong-UHI episode in the lower ~200 m AGL (Figs. 13a,b). It appears that during this episode limited vertical mixing leads to strong radiational cooling within a shallow stable layer (~200 m) in rural terrain. At the urban sites, where urban land cover releases heat and vertical mixing is stronger because of the enhanced roughness, vertical temperature gradients are reduced and cooling near the surface is much weaker than in rural areas (Figs. 13a,b). As a consequence, a large difference between urban and rural near-surface temperatures—that is, a large UHI intensity (3°–4°C)—is observed on these nights. During the weak-UHI episode, vertical mixing associated with stronger LLJs limited the cooling at the rural sites and the NBL became much deeper (~500 m). Under these conditions, differences between the rural and urban profiles are small and are limited to the lowest grid cells. In the presence of stronger LLJs, heat released from urban land cover is mixed over a deeper boundary layer and advected further downwind, which also contributed to the smaller temperature difference between the rural and urban areas. During both episodes, UHI intensity declined with height and at some distance above the surface (~150 m) the urban temperature became lower than that in the surrounding rural area (i.e., the UHI signal reversed). This behavior is consistent with the classical conceptual model of UHI (Bornstein 1968; Oke 1982).

Profiles of simulated potential temperature at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. Red lines represent profiles extracted at the center of OKC, and green lines represent mean profiles at the six mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Profiles of simulated potential temperature at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. Red lines represent profiles extracted at the center of OKC, and green lines represent mean profiles at the six mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Profiles of simulated potential temperature at 1000 UTC on the days with (a),(b) strong and (c),(d) weak UHIs. Red lines represent profiles extracted at the center of OKC, and green lines represent mean profiles at the six mesonet sites around OKC.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The corresponding wind profiles (Fig. 14) simulated with the WRF model for the same sites as the temperature profiles provide further evidence that the low-level jet was much stronger and higher during the weak-UHI episode than during the strong-UHI episode. Differences can also be noted in the height of the jet nose, which was at ~250 m for the strong-UHI episode and ~500 m for the weak-UHI episode. During both episodes, the jet-nose height correlated well with the depth of the inversion layer. In comparison with the temperature profiles, the urban effects on the wind profiles are much weaker, and, while previously observed tendencies for higher and weaker urban LLJs (Wang et al. 2007; Kallistratova and Kouznetsov 2012) can be noted, they are not consistent among the four nights investigated. Future studies with more detailed observations and improved representation of the urban canopy in the WRF simulations should investigate in more detail how urban areas affect both the dynamic and thermodynamic structures of the NBL, which is very important for air-quality studies.

As in Fig. 13, but for simulated vertical profiles of wind speed.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

As in Fig. 13, but for simulated vertical profiles of wind speed.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
As in Fig. 13, but for simulated vertical profiles of wind speed.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
As expected, the WRF simulations (Fig. 15) captured the observed (Fig. 4) diurnal variation of UHI intensity and the contrast between the strong- and weak-UHI episodes very well. The simulations further highlight that the diurnal variation of the rural PBL height (represented by the average PBL height at the six mesonet sites) modulates the diurnal variation of UHI intensity (Fig. 15). When the boundary layer collapsed during the early evening transition, UHI intensity increased abruptly, which is consistent with previously reported strong increases in UHI intensities around the evening transition in cities such as Bucharest (Tumanov et al. 1999), Paris (Lemonsu and Masson 2002), and London (Bohnenstengel et al. 2011). When the boundary layer redeveloped rapidly on the following day, the UHI intensity decreased quickly (Fig. 15a). During the weak-UHI episode, the nighttime PBL heights (~400–600 m) were 3–4 times those during the strong-UHI episode (~100–200 m). Thus, boundary layer structure is important for UHI assessments.

Time series of simulated UHI intensity at 2 m and average PBL height at the six mesonet sites around OKC on the days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Time series of simulated UHI intensity at 2 m and average PBL height at the six mesonet sites around OKC on the days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Time series of simulated UHI intensity at 2 m and average PBL height at the six mesonet sites around OKC on the days with (a) strong and (b) weak UHIs.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
A comparison of simulated skin temperatures (TSK) and land surface temperatures (LST) derived from the MODIS data is shown in Fig. 16. Given that the WRF model captures the external meteorological factors reasonably well (as discussed above), the WRF model coupled with the single-layer UCM reproduces the MODIS-derived UHI intensities well. Both the model and MODIS data show the clear contrasts between urban and rural areas during the strong-UHI episode, and both show smeared-out contrasts during the weak-UHI episode. A negative bias of MODIS LST relative to WRF TSK (i.e., TSK is systematically higher than LST) can be noted, however, which may be due to the uncertainties in the MODIS data (Wan and Li 2008), model inputs (e.g., insufficient soil moisture; Hu et al. 2010), and model errors. The relationship between the satellite-derived LST and air/skin temperature remains the greatest unknown in remotely sensed studies of UHI (Voogt and Oke 2003; Fung et al. 2009; Nichol et al. 2009; Mohan et al. 2013).

Horizontal distribution of (top) LST retrieved from the Aqua MODIS data and (bottom) TSK simulated by WRF on (left to right) 18, 19, 25, and 26 July. The Aqua MODIS LST is at 0130 local time (nighttime overpass time), and the WRF TSK is at 0100 local time.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

Horizontal distribution of (top) LST retrieved from the Aqua MODIS data and (bottom) TSK simulated by WRF on (left to right) 18, 19, 25, and 26 July. The Aqua MODIS LST is at 0130 local time (nighttime overpass time), and the WRF TSK is at 0100 local time.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
Horizontal distribution of (top) LST retrieved from the Aqua MODIS data and (bottom) TSK simulated by WRF on (left to right) 18, 19, 25, and 26 July. The Aqua MODIS LST is at 0130 local time (nighttime overpass time), and the WRF TSK is at 0100 local time.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
The results presented so far have highlighted that the UHI intensity in Oklahoma City is correlated with the strength of the LLJ. Using two episodes, we could then demonstrate that this correlation appears to be related to the role of the LLJ in enhancing vertical mixing within the NBL and in modulating the temperature inversion strength, primarily at rural sites. As a last step, we thus tested whether the temperature inversion observed near the surface at rural Oklahoma Mesonet sites can be used as a direct indicator of the UHI intensity. A time series and scatterplot between the average temperature inversion observed at the selected six rural mesonet sites (see Fig. 1b) and the OKC UHI intensity are shown in Fig. 17 for July of 2003. The daily variation of the UHI intensity follows the trends of the inversion strength, and the correlation between the two parameters was as high as 0.83. This result implies that temperature inversion in the surrounding rural area can be used as an indicator for UHI intensity. From statistical studies (e.g., Unger 1996; Unger et al. 2001; Fast et al. 2005; Morris et al. 2001), cloudiness was also reported to be another important factor in modulating UHI intensity; that is, the lower the cloudiness is, the stronger the UHI is, and the higher the cloudiness is, the weaker the UHI is. The impact of cloudiness on UHI may also be related to the reduction of the stability near the surface (Fast et al. 2005; Verzijlbergh et al. 2009; Hu et al. 2011). Thus, temperature inversion as an indicator of UHI intensity may inherently account for the presence of cloud. The detailed mechanism through which cloudiness affects UHI is subject to further study, however.

(top) Time series of observed mean nocturnal UHI intensity at 9 m and inversion strength at the six mesonet sites, and (bottom) their correlation.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1

(top) Time series of observed mean nocturnal UHI intensity at 9 m and inversion strength at the six mesonet sites, and (bottom) their correlation.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
(top) Time series of observed mean nocturnal UHI intensity at 9 m and inversion strength at the six mesonet sites, and (bottom) their correlation.
Citation: Journal of Applied Meteorology and Climatology 52, 8; 10.1175/JAMC-D-12-0256.1
4. Conclusions and discussion
The day-to-day nocturnal UHI intensity in OKC showed great variability in July of 2003. A significant correlation was found between the mean nocturnal UHI intensity and the strength of the nocturnal LLJ. During a weak-UHI episode, an east-to-west pressure gradient contributed to the acceleration of the northward-blowing LLJ over the Great Plains. During such nights, strong shear on the underside of the LLJ induced enhanced turbulent mixing, which resulted in a deeper and less stable NBL at the rural sites surrounding OKC. Under these conditions, urban effects, related to the hotter and rougher surface, did not strongly affect the temperature profiles, which explains the weak UHI signature. In contrast, on the nights with a weaker LLJ, a shallower stable boundary layer with stronger temperature inversions developed. In such cases, enhanced mixing in urban regions leads to pronounced urban–rural contrasts in the thermal structure of the NBL and accordingly much higher UHI intensities. In general, the UHI intensity declined quickly with height, and at ~100 m above the surface the urban air became cooler than the surrounding rural air.
Rural temperature inversion strength (i.e., vertical temperature gradient) near the surface is shown to be a direct indicator for nocturnal UHI intensity. In the cases studied, shear-induced turbulent mixing developing on the underside of LLJs modulated the near-surface temperature inversion at night. The day-to-day variation of nocturnal UHI intensity in OKC in July of 2003 could thus be explained by differences in the LLJ strength caused by different synoptic conditions. In previous studies, synoptic conditions were also reported to influence UHI intensity (e.g., Unger 1996; Tumanov et al. 1999; Morris and Simmonds 2000; Mihalakakou et al. 2002), but the novelty of our study is that we could identify enhanced turbulent mixing triggered by LLJs as a mechanism by which synoptic conditions alter UHI intensity.
This paper emphasizes the importance of mesoscale meteorological factors (e.g., LLJs or stability in the stable boundary layer) in modulating the UHI intensity. To successfully capture such meteorological factors, a proper PBL scheme is necessary. The YSU scheme has been successfully applied in numerous studies for various purposes (e.g., Hu et al. 2010; Hong 2010; Mohan and Bhati 2011) and was initially tested in this study. The strength of LLJs was, however, underestimated when using the YSU PBL scheme because mechanical mixing during nighttime is overestimated (Storm et al. 2008; Hu et al. 2010, 2012; Shin and Hong 2011). Because of the unrealistic, strong mixing, the model underestimated the strength of the temperature inversions in the NBL, and, as a result, the skill in predicting UHI intensity was also poor when the YSU PBL scheme was selected. For the studied episodes, better results were obtained with the ACM2 PBL scheme in simulating nocturnal LLJs and their impacts on the UHI intensity. Nevertheless, modeling of the stably stratified atmospheric boundary layer remains a challenging task. A greater emphasis is needed on the improvement of the parameterization methods (Cuxart et al. 2006; Teixeira et al. 2008; Fernando and Weil 2010). To correctly predict UHI intensity and spatial extent, the model also needs to reasonably capture important effects of the urban canopy on the structure, dynamics, and turbulence of the NBL. In this study, a single-layer urban model coupled with the Noah land surface model appeared to be able to capture the urban effects on the atmospheric boundary layer (our earlier investigation using the Noah model alone for land surface treatment also captured the bulk effects of urban area to a certain extent). To study the interactions between the LLJ and UHI in more detail and to evaluate detailed UHI mitigation strategies, more-sophisticated urban canopy models are available and can be applied in future studies (Chen et al. 2011b; Bohnenstengel et al. 2011; Salamanca et al. 2011, 2012; Best and Grimmond 2012). Such studies will require detailed, simultaneous urban and rural observations of the dynamic and thermal structures of the boundary layer to evaluate and further improve urban and boundary layer schemes.
In addition to affecting the UHI, LLJs may also have important implications for the transport and dispersion of pollutants (Banta et al. 1998; Hu et al. 2013). Hu et al. (2013) reported that strong turbulent mixing induced by nocturnal LLJs transported ozone-richer residual-layer air to the surface, where ozone was efficiently removed by chemical reactions and dry deposition, and, as a result, boundary layer ozone on the subsequent day was reduced. In an analysis of ozone concentrations observed at U.S. Environmental Protection Agency surface monitoring sites in the OKC metropolitan areas in July of 2003, isolated nocturnal secondary ozone maxima were also found during the nights with strong LLJs. More details about the impacts of LLJs on air quality are presented in Klein et al. (2013, manuscript submitted to Bound.-Layer Meteor.).
Acknowledgments
This work was supported by funding from the Office of the Vice President for Research at the University of Oklahoma. The second author was also supported through the NSF Career Award ILREUM (NSF ATM 0547882). The third author was also supported by NSF Grants OCI-0905040, AGS-0802888, AGS-0750790, AGS-0941491, AGS-1046171, and AGS-1046081. Computations were performed at the Texas Advanced Computing Center (TACC). Jeffrey B. Basara provided the two temperature datasets collected in OKC. Four anonymous reviewers provided helpful comments that improved the manuscript.
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