1. Introduction
As over 80% of the U.S. population resides in urban locales, a detailed understanding of urban temperatures becomes crucial within the context of climate impact assessments. The urban heat island (UHI) effect, a phenomenon where urban regions exhibit higher temperatures than their rural counterparts, is a pivotal factor in determining urban temperature and has profound societal and infrastructural impacts (Santágata et al. 2017; Stone et al. 2021).
UHIs are generally categorized into two types: canopy urban heat islands (CUHIs), which are derived from canopy-layer air temperature, and surface urban heat islands (SUHIs), which are based on surface temperature measurements. To measure CUHI, methods such as station observations (Beck et al. 2018) or mobile measurements (Leconte et al. 2015) have been extensively utilized. However, these methods come with their own set of limitations. Station observations, for instance, often suffer from inadequate spatial coverage, failing to comprehensively capture the temperature variations across an entire urban area. Conversely, mobile measurements, while offering more spatial flexibility, are not frequently conducted due to the considerable manpower and financial resources required.
On the other hand, SUHI is predominantly assessed using remote sensing techniques, including satellite observations. This approach has been the focal point of numerous studies (de Almeida et al. 2021; Deilami et al. 2018; Li et al. 2020; Rasul et al. 2017; Shi et al. 2021), although it is worth noting that SUHI assessments can be sensitive to the choice of dataset, methodologies, and underlying assumptions (Chakraborty et al. 2021; Hu and Brunsell 2013; Yao et al. 2018). In this study, the primary focus is on SUHI, using satellite-based estimates of land surface temperature (LST).
Research on SUHI includes extensive work on the factors driving SUHI, which is primarily attributed to differences in the energy balance between urban and nonurban areas (Manoli et al. 2020; Oke et al. 2017). Key factors influencing this energy balance disparity include variations in land cover (Li et al. 2020b; Morabito et al. 2021; Sarif et al. 2020) and anthropogenic heat release (Jin et al. 2020; Zhou et al. 2014). Previous studies also concluded that SUHI has profound societal and infrastructural impacts (Santágata et al. 2017; Stone et al. 2021). Considering that SUHI can differ greatly from city to city due to different factors, including, but not limited to, climate conditions (Lai et al. 2021; Li et al. 2020a; Shao et al. 2023) or urban morphology (Huang and Wang 2019; Zhou et al. 2022), efforts to mitigate the impact of SUHI require city-specific or even neighborhood-specific assessments that consider local climate, land use, and demographic imprints on SUHI. Ultimately, mitigation strategies need to be tailored to individual cities in ways that consider their specific contexts.
While prior research has sought to evaluate multiple cities across both global (Bechtel et al. 2019; Liu et al. 2022) and regional (Bechtel et al. 2019; Tetali et al. 2022) scales to analyze factors influencing SUHI, these expansive studies have not fully utilized the capabilities of geostationary satellites. The launch of the Geostationary Operational Environmental Satellite (GOES-16 and GOES-17, hereafter referred to collectively as GOES) series opened possibilities for detailed temperature analyses across the United States (Chang et al. 2021; Lee and Dessler 2024; Li et al. 2021; Yu et al. 2008; Zhang and Du 2022). The GOES satellites, with their capability for hourly data acquisition, provide continuous observation of LST. This feature is important to ensure that short-lived, intense events do not go unnoticed. On the other hand, polar-orbiting satellites, such as MODIS (Sidiqui et al. 2016; Tomlinson et al. 2012) or Landsat (Kaplan et al. 2018; Sagris and Sepp 2017), have comparatively longer revisit periods. To address this shortcoming of infrequent LST estimates from polar-orbiting satellites, researchers often use gap-filling techniques (X. Li et al. 2018; Sarafanov et al. 2020; Shiff et al. 2021). However, employing such methods in urban environments demands a more profound comprehension of the city’s energy budget, as they come with their intrinsic challenges such as anthropogenic heat release (Jin et al. 2020; Wang et al. 2021; Yuan et al. 2022), materials of buildings (Farhadi et al. 2019; Subramanian 2023), or urban morphology (Huang and Wang 2019; Zhou et al. 2022). In recognizing these limitations, I use continuous hourly LST data offered by GOES to analyze both the seasonal and diurnal characteristics of SUHI across the 120 largest U.S. cities.
While traditional work on SUHI focuses on the LST disparity between urban and nonurban areas, recent work has also emphasized the importance of intracity SUHI dynamics. These detailed spatial analyses are particularly critical in the context of temperature inequality within cities. This phenomenon can manifest in situations where populations who are less equipped to cope with extreme heat find themselves disproportionately exposed to such conditions. Previous studies analyzed intracity LST variations (Chang et al. 2022; Mentaschi et al. 2022; Yin et al. 2023; Yuan et al. 2023), pinpointing that features such as green spaces or water bodies significantly influence intracity LST. Moreover, disparities in thermal comfort across major cities have been highlighted in past research (Hsu et al. 2021; Wong et al. 2016; Wu et al. 2023). In the present study, I utilize the social vulnerability index (SVI) along with population data and high-resolution GOES LST data to provide a detailed examination of both intracity LST variations and the associated social inequalities.
2. Data
a. Selection of major U.S. cities
A total of 120 major cities and their surroundings within the United States are selected as the focal regions for this study, with the selection based on population. In assessing the climate of these cities and their nearby surroundings, substantial surrounding areas are extracted for each city. In situations where cities are too close and their surrounding territories overlap (e.g., Dallas, Texas, and Fort Worth, Texas), they are merged into a single study region. A total of 120 cities encapsulate an estimated population of 206 million, distributed across a total area of 131 000 km2. This captures 62% of the entire U.S. population while only accounting for 1.3% of the national land area. The example of perimeters extracted in the six largest cities can be found in Figs. 1a–f, while the perimeters for the rest of the cities can be found in section S1 in the online supplemental material.
b. Land-cover data
I use land-cover data from the European Space Agency’s (ESA) World Cover 2020 dataset (Zanaga et al. 2022). This dataset, originating from the Sentinel-1 and Sentinel-2 satellite constellations, provides a high-resolution view at 10 m and includes 11 generic land surface classes: tree cover, shrubland, grassland, cropland, built-up areas, bare/sparse vegetation, snow/ice, permanent water bodies, herbaceous wetland, mangrove, and moss/lichen. To harmonize these data with other products utilized here, I adjust these data to 0.01° × 0.01° latitude–longitude grids. For each of these grid cells, the encompassed land-cover types within a 0.005° radius of the grid’s center are identified. Following this, I calculate the proportion of each land-cover class within each boundary. The predominant land cover, determined by the greatest representation of a land-use type, then stands as the representative land-cover type for that 0.01° grid. Figures 1a–f show the representative land cover surrounding the six largest cities in the analysis, whereas the coverage for all 120 cities and the number of pixels used are detailed in section S1.
To implement Gaussian smoothing, I modify the land-cover map by designating urban pixels with a value of 1 and nonurban pixels with 0, creating a binary map. On this map, I apply Gaussian smoothing using a σ value of 1, a decision reached through trial and error to achieve the most reasonable smoothing outcome. This Gaussian smoothing preserves the structure of dense urban areas, where clusters of urban pixels largely retain their original state. On the other hand, isolated urban pixels experience a decrease in value. I establish a threshold of 0.5 to smooth out these diminished urban segments. In contrast, solitary nonurban pixels that gain a value above 0.5 after smoothing, owing to their proximity to urban regions, are reclassified as urban. This method effectively smooths minor inconsistencies between built-up and non-built-up areas, leading to a more generalized representation of urban boundaries.
Hereafter, regions bounded by these Gaussian-smoothed demarcations are termed “urban areas,” while their counterparts are labeled “nonurban areas.” Importantly, both classifications exclude water bodies, ensuring neither urban categories nor nonurban categories comprise any permanent water features. The extent of urban and nonurban areas of interest is visually represented in Figs. 1a–f as well as in Fig. S1. Across all cities, the average ratio of urban to nonurban pixels is 0.29. For a comprehensive breakdown of the number of urban and nonurban pixels utilized in this study, refer to Table S1.
It should be noted that in certain cases, such as Los Angeles, California, as depicted in Fig. 1b, urban areas that could be perceived as separate from the designated city region may be encompassed in the study (e.g., the patch of urban areas in the northeast of Los Angeles). Therefore, it is essential to view the outcomes of this study not as specific to the exact boundaries of individual cities, but rather as results that consider a broader perspective, including the 120 major cities in the United States and the potential inclusion of their surrounding urban areas.
c. GOES-16/17 data
The LST data in this study come from the GOES LST data (Yu and Yu 2020). The LST data used here cover the contiguous United States (CONUS) for 5 years, from 2018 to 2022. They are collected every hour and have a 2-km spatial resolution, which is about 0.02° latitude–longitude at the equator. Because the LST data are on an irregular grid, they are changed to fit a 0.01° regular grid, to match the land-cover dataset. For this change, the nearest neighbor method is used to preserve all the information of GOES data by oversampling. The inheriting limitation of the satellite data is that they cannot measure temperatures under clouds. To address this, I use a cloud mask product from GOES to remove data from cloudy areas. Thus, the LST data used in this study can be viewed as cloud-free hourly LST data for each city.
d. Auxiliary data
To get a clearer picture of the atmospheric and climate conditions for each city, the ERA5 Land monthly dataset (Muñoz-Sabater et al. 2021) is used. This dataset is on a 0.1° grid and provides monthly averages of 2-m air temperature (T2M) and 2-m dewpoint temperature (D2M) for the cities and the surroundings. Using T2M and D2M data, I also calculate the surface relative humidity (RH). It should be noted that the ERA5 dataset does not explicitly account for urban area effects.
Furthermore, the enhanced vegetation index (EVI, VNP13A3) data, obtained from the Visible Infrared Imaging Radiometer Suite (VIIRS), is used as a metric for vegetation. Although other metrics, such as the normalized difference vegetation index (NDVI) or the leaf area index (LAI), are available, the choice of EVI is based on the observation that different indices do not significantly alter the overall study results. Additionally, two other VIIRS datasets were utilized: albedo (ALB, VNP43MA3) and nighttime light (NL, VNP46A3). These datasets were originally in a 1-km irregular grid format but were regridded to a 0.01° regular grid using the same methodology applied to the GOES LST data. I calculate the differences between urban and nonurban values for EVI, ALB, and NL, referred to as ΔEVI, ΔALB, and ΔNL, respectively. While EVI is a monthly product, ALB and NL are available daily. To ensure uniformity across all data types, monthly averages were computed for ALB and NL.
e. Population and social vulnerability index
The Gridded Population of the World Version 4 (GPW v4) dataset is used for the population data (Doxsey-Whitfield et al. 2015). This dataset presents data in 30-arc-s latitude–longitude grids. To align the population data with other datasets, I aggregate the data into a 0.01° regular grid. First, I assign each grid cell in the population dataset to its nearest point on the 0.01° regular grid. At each of these 0.01° grid points, the populations of all assigned grid cells are summed, allowing for the transposition of the population data onto a 0.01° regular grid without changing the total population count.
I also integrate the gridded SVI for socioeconomic insights (Flanagan et al. 2011). The gridded SVI product encompasses various subcategories, such as socioeconomic status, household composition, disability, minority status, language, housing type, and transportation. SVI is initially at the census tract level. However, for this study, I utilize SVI data that have been regridded to a 1-km resolution by the Socioeconomic Data and Applications Center (SEDAC). These regridded SVI data are available for the years 2000, 2010, 2014, 2016, and 2018. I use 1-km resolution SVI data from 2018, as they align most closely with the study period (2018–22). SVI values can vary between 0 and 1, with 1 pointing to the most vulnerable population segments. SVI values are originally in 1-km resolution, so I also adjust these data to the 0.01° regular grid, using an approach like that of the population dataset, but values are averaged instead of summed.
All data used in this study are summarized in section S2, including source, resolution, and processing method.
3. Method of analysis
a. Surface urban heat island
A crucial factor in analyzing urban temperature is the SUHI effect. The SUHI intensity (SUHII) represents the temperature difference between urban and nonurban areas. To determine this, the mean temperature within urban boundaries is calculated hourly. The difference between this and the hourly mean temperature in nonurban regions yields the hourly SUHII. Due to occasional observation limitations in GOES LST caused by cloud cover, hours with more than 50% cloud cover over urban or nonurban regions are excluded. This process yields a city-specific cloud-free SUHII time series with hourly intervals, spanning 5 years (2018–22).
The increased LST in urban areas is primarily attributed to differences in land cover between urban and nonurban areas, as established in numerous previous studies (Bechtel et al. 2019; Peng et al. 2018; Rousta et al. 2018; Yao et al. 2019). In the analysis of 120 cities in this study, the average surrounding land cover consists of 51% trees, 22% grass, and 17% croplands. Notably, the presence of trees and grass significantly contributes to the reduction in LST, thereby playing a crucial role in the SUHI effect (Bindajam et al. 2020; Guha and Govil 2022; Rogan et al. 2013; Yang and Yao 2022).
b. Seasonal and diurnal SUHI cycles
c. k-means clustering
For each of the two seasonal cycles (daytime and nighttime), cities show similarities and disparities. To analyze both shared and unique patterns of seasonal SUHII variation across cities, I utilize k-means clustering. The initial step in the clustering process involves normalizing 120 city-specific, 12-month time series. Each city’s seasonal SUHII cycle is normalized by subtracting the mean and dividing by the standard deviation, which allows us to focus on the relative shape of the cycles, not the absolute magnitude.
To further refine the analysis, I embed a 1-month lag into each time series to adjust for potential phase shifts between the cycles. This embedding is essential for synchronizing cycles that may differ by a 1-month offset, thereby allowing the clustering algorithm to more accurately group cities with synchronized SUHII patterns. In mathematical terms, for a given time series ts of length 12 (monthly time series), the embedding translates into constructing a new matrix where each row is formed by pairing the original time series with its 1-month lagged sequence. Consequently, the resulting matrix for each city’s seasonal cycle is an 11 × 2 array, where one column is the original time series, and the other is its 1-month lagged counterpart.
A similar calculation is done for the diurnal cycle, with the difference being the length of each time series being 24 h, rather than 12 months, and the lag being 1 h, rather than 1 month. The number of clusters k is selected using the silhouette score and is determined at 3 for seasonal daytime, 2 for seasonal nighttime SUHII, and 2 for diurnal SUHII. Details on calculating the optimal number of clusters can be found in section S3.
4. Seasonal and diurnal SUHI cycles
a. Daytime SUHII seasonal cycle
Figure 2 depicts the description of the daytime SUHII seasonal cycle. The assigned cluster for each city and the proportional distribution of clusters are illustrated in Figs. 2a and 2b, respectively. In Fig. 2c, the normalized mean of the daytime seasonal SUHII cycle for cities in cluster 1 is presented. SUHII values are normalized to address the varying intensities across cities, simplifying the process of identifying the general pattern of the seasonal cycle. Given that 67% of the cities fall within cluster 1, this pattern can be regarded as typical of the daytime seasonal cycle of SUHII. The land covers surrounding these cities are detailed in Fig. 2d. The seasonal cycles of RH—using monthly averages from both urban and nonurban areas—nonurban EVI, and normalized ΔEVI are displayed in Figs. 2e–g.
The second most common SUHII pattern is captured by cluster 2 (21%) as shown in Fig. 2h. The cities that fall within this cluster show the daytime seasonal cycle of SUHII that includes a pronounced decline during the late spring and early summer months (April–June). The cause for this pattern may be that these cities are more commonly surrounded by croplands, constituting 46%, surrounding the cities in cluster 2, as illustrated in Fig. 2i. Previous studies found that croplands typically exhibit higher LST than other natural land covers, particularly in the spring season prior to planting (Ramankutty et al. 2006; Y.-C. Wang et al. 2018; Wickham et al. 2012), and this high LST of croplands tends to decrease in the fall season, when vegetation of croplands increases (Shen et al. 2018; Yang et al. 2020). Elevated LST in croplands results in a lower LST difference between urban and nonurban regions, leading to a reduction in SUHII in the spring season, as evidenced in Fig. 2h. Moreover, an increase in nonurban EVI (Fig. 2k) and a decrease in ΔEVI (Fig. 2l) drive the SUHII peak in August, depicted in Fig. 2h. Given that an elevated EVI is associated with cooler LST, it is expected that a higher ΔEVI would decrease daytime SUHII. In line with this expectation, the patterns in Figs. 2h and 2l appear inversely related, offering clarity on the daytime SUHII behavior in cluster 2.
Cities within cluster 3 (12%) are characterized by their arid climate, as indicated by low RH values shown in Fig. 2o, and a predominance of grass and bare land covers surrounding the cities, as delineated in Fig. 2n. Furthermore, a notably lower EVI is observed in cities in cluster 3 in comparison with other clusters (Fig. 2p). A distinctive seasonal cycle of ΔEVI, peaking in summer, is seen in these cities, which explains the pattern of seasonal SUHII in cluster 3. This pattern of seasonal cycle in arid cities is also reported in the previous study (Liu et al. 2022). In summary, as observed in both cluster 2 and cluster 3, ΔEVI is identified as a primary factor influencing the daytime seasonal SUHII. Quantitatively, the average correlation coefficient between seasonal SUHII and ΔEVI for all cities is −0.51.
b. Nighttime SUHII seasonal cycle
Nighttime seasonal SUHII is classified into two clusters, as illustrated in Fig. 3. Most cities fall under cluster 1, while only 10% are categorized into cluster 2 (Figs. 3a,b). A significant difference between clusters 1 and 2 is the reduction in nighttime SUHII during the summer months (Figs. 3c,g). Several potential factors can contribute to the inverse seasonal pattern between the cities in clusters 1 and 2. First, the role of ΔEVI is possible. As discussed in the previous section, ΔEVI is inversely correlated with SUHII. This correlation clarifies the elevated levels of SUHII in the spring season for cluster 2, when ΔEVI is lower. Additionally, the notable summer decrease in ΔEVI observed in cluster 1 is less prominent in cluster 2, accounting for the summertime disparity in SUHII in clusters 1 and 2.
Another possible influential variable is ΔALB, known to be a significant determinant of nighttime SUHI. Previous studies indicate that higher ΔALB values generally correspond to reduced nighttime SUHII (Dutta et al. 2022; Liu et al. 2022). The primary energy source for nighttime SUHI originates from the heat absorbed by urban environments during the day. However, when urban ALB is high, most of this energy is reflected during the daytime, leaving less residual heat to drive nighttime SUHI. The reduction in ΔALB during the summer months is shown in cluster 1 but not in cluster 2, accounting for the observed discrepancies in summertime SUHII between the two clusters.
However, the predominance of cities in cluster 1, coupled with the significant error margins in potential drivers such as ΔEVI and ΔALB, complicates the identification of specific factors influencing nighttime SUHI in cluster 2. This complexity is accentuated in the nocturnal context, where SUHI dynamics are inherently more complex than daytime, as evidenced by previous studies (El Kenawy et al. 2020; Krayenhoff et al. 2018; Leconte et al. 2020; Ming et al. 2023; Wang and Li 2017). Additionally, this study does not encompass certain mechanisms known to affect nighttime SUHI. Notably, the influence of 2D/3D urban morphology, which plays a significant role in shaping nighttime SUHI dynamics (El Kenawy et al. 2020; Peng et al. 2022; Siddiqui et al. 2021), was not examined. Furthermore, factors such as the higher thermal admittance of building materials (Oke 1982; Subramanian 2023) and the contribution of anthropogenic heat emissions (Best and Grimmond 2015; Feng et al. 2012; Ward et al. 2016) further add to the challenges in pinpointing distinct drivers of nighttime SUHI. Given the complexity of nighttime SUHI dynamics and the limitations observed in this study, it becomes evident that further research is essential to comprehensively understand and accurately identify the drivers of nighttime SUHI.
c. Diurnal cycle of SUHII
Leveraging the hourly LST measurements provided by GOES, I conduct a more detailed assessment of the SUHII by analyzing its diurnal cycle. The diurnal cycle of SUHII in clusters 1 and 2 shows a significant discrepancy, as cluster 1 follows the general cycle of incoming solar radiation, while cluster 2 peaks in the late evening (2000–2100 LT) and reaches its minimum in the morning (0800–0900 LT).
An examination of land cover (Figs. 4d,f), RH (Fig. 4g), and EVI (Fig. 4h) reveals that cities in cluster 2 are characterized by a more arid climate with lower humidity and reduced vegetation. Previous studies have noted that a diurnal SUHII pattern peaking at nighttime, rather than at noon, is typical for cities situated in arid climates with sparse vegetation (Liu et al. 2022; C. Wang et al. 2018; Wang et al. 2016; Wang and Li 2021). Utilizing the Kruskal–Wallis test to examine the significance of differences in RH and EVI between the two clusters, both variables are found to have statistically significant differences in their means (P < 0.05).
Upon analysis of ΔEVI (Fig. 4i), ΔALB (Fig. 4j), and ΔNL (Fig. 4k), all three variables are identified as statistically distinguishable between the two clusters (P < 0.05). Despite cluster 2 generally displaying reduced EVI (Fig. 4h), a greater ΔEVI is observed (Fig. 4i) in this cluster. This means that in such locales, the bare soils in nonurban regions heat up more quickly than those in urban areas, contributing to lower SUHII values following sunrise. This phenomenon is further substantiated by the lower ΔALB values in these cities, where high nonurban ΔALB is attributed to sparse vegetation and exposed soils. Furthermore, as low ΔALB can be translated to lower ALB in urban regions, cities with low ΔALB (cluster 2) will absorb more radiated heat during the daytime. This absorbed heat will be released slowly at nighttime, which causes the nighttime SUHII to increase, as in cluster 2.
Additionally, ΔNL is found to be considerably higher in cluster 2. The variable ΔNL serves as an indicator correlated with the urban-to-nonurban gradient of human activity or anthropogenic heat released during the nighttime. Elevated ΔNL levels indicate greater anthropogenic heat release in urban areas, consequently resulting in increased nighttime SUHII, as observed in cluster 2 (Fig. 2e). A complete figure regarding daytime seasonal SUHII, nighttime seasonal SUHII, and diurnal SUHII can be found in section S4.
5. Intracity LST and climate inequality
a. Intracity LST by UI
Until this point, the emphasis has been on the city scale without considering intracity LST differences. To study the intracity difference, I utilize land-cover data. In previous sections, land cover for each GOES grid point was determined using a land cover with the highest percentage within a 0.005° radius of GOES grids. However, for the analysis of intracity LST, land cover for each GOES grid point is not determined as a single representative. Instead, the percentage of built-up area within a 0.005° radius is calculated and referred to as urban intensity (UI). This metric serves to quantify each GOES grid point based on the extent of built-up areas, considering intracity variations in non-built-up areas (vegetation or water bodies). Such calculations are performed exclusively within the urban boundaries, as indicated by the white lines in Figs. 1a–f.
To assess intracity variations in LST, timestamps are initially selected where over 90% of the urban boundary is free of cloud cover. For these selected timestamps, LST anomalies are calculated. An LST anomaly at a given grid point is defined as the LST at that gridpoint time minus the average LST within the city-specific urban boundaries within the same timestamp. Thus, it indicates how much each grid point is hotter or cooler than other contemporary local urban areas.
Figure 5a depicts the change in average LST anomaly for each 10% increment in UI. The figure illustrates a trend where LST anomaly rises as the UI escalates, meaning that at a given time, high UI grid points have higher LSTs than their lower UI counterparts. For every 10% increment in UI, the LST rises by 0.066°C. This positive correlation holds across all cities, as demonstrated in Fig. 5b.
When examining the average diurnal variation of intracity LST anomalies across the 10% UI bins (Fig. 5c), a significant LST offset is observed around early evening (1800–2000 LT) and is at its lowest around noon. This indicates that during peak solar radiation times, intracity LST variations are primarily influenced by the incoming solar radiation, thus minimizing differences due to UI. In contrast, during the evening, areas with higher UI tend to exhibit increased LSTs. This is attributed to urban materials releasing stored heat from the daytime. This trend is also consistent in all cities, as shown in Fig. 5d, where the slope of LST and UI is greatest during the evening.
b. Social inequality
Social inequality in thermal comfort has been an interest in previous studies (Pereira et al. 2021; Wu et al. 2023). Although a complex relationship exists between LST and thermal comfort, in a way that LST might overestimate the variability in air temperature and, consequently, in thermal comfort, it can still serve as an indirect proxy of thermal comfort (Goldblatt et al. 2021; Imran et al. 2021; Patel et al. 2024). In that context, I now compare the LST differences within cities with SVI data. As in Fig. 6a, SVI tends to be positively correlated with UI, meaning that populations with high vulnerability are in intensive urban environments. This trend is true in 90% of the cities (108 out of 120 cities), and for the cities that have a negative correlation, the magnitude of the slope is small, as seen in Fig. 6b. By this, one can expect that high SVI communities would be under higher LST conditions.
To correlate SVI levels to LST, a population-weighted SVI threshold is derived. This method is adopted due to the disparate SVI ranges observed across different cities. Utilizing the gridded population dataset, an array of SVIs is constructed, where its length mirrors the population size. Each element of this array denotes the SVI for every individual within the city. Subsequently, percentile thresholds of SVI are determined in 10-percentile increments. Leveraging these thresholds, individual grid points are categorized based on their corresponding SVI percentiles. Since the focus is on the inequality of LST to different SVI levels, the average LST of the most vulnerable population segment (those over the 90th percentile of SVI) is compared to the least vulnerable segment (those below the 10th percentile of SVI) by subtracting the LST of low SVI groups from the high SVI groups, during summertime (JJA) from 1000 to 1600 LT, the peak LST period. This measure provides insight into the average LST differential between populations with high and low vulnerability during the hottest periods. This metric is subsequently referred to as the heat inequality index (HII).
Upon examination of the HII distribution across cities, it is observed that the average HII is at 0.54°C (red line in Fig. 6c). This indicates that during periods of high heat, the more vulnerable populations experience even higher LSTs, by an average of 0.54°C. Such a trend is observed in most cities, with 103 out of 120 cities exhibiting this pattern. These findings suggest that communities with more vulnerability are typically situated in areas of high urban intensity, and as a result, they face higher LSTs during the summer, averaging a difference of 0.54°C. A complete table of information regarding UI, SVI, and HII for individual cities can be found in section S5.
It is important to note that both the SVI and the UI are presented on a 0.01° × 0.01° regular grid. While this granularity might not be adequate for detailed analyses, such as examining SVI changes at the neighborhood or block level, it is important to consider the underlying data sources. SVI is derived from census tract data, and the LST product used in this study represents an average over a 2-km resolution. Consequently, the observed relationship between LST and SVI should be interpreted as indicative of general trends rather than precise local variations.
6. Summary and conclusions
Using the hourly LST measurements from GOES, I carried out an assessment of the seasonal and diurnal cycles of SUHII, as well as intracity LST variation and associated societal inequality. For the seasonal cycle of daytime SUHII, 120 cities are categorized into three distinct clusters, with regional EVI identified as the primary determinant of SUHI due to its capability to cool surrounding LST. The seasonal cycle of nighttime SUHII is grouped into two clusters where most of the cities are assigned to cluster 1. The mechanisms governing this are more complex. However, both EVI and ALB are determined to possibly affect the seasonal cycle of nighttime SUHII. The diurnal cycle of SUHII is divided into two clusters: The first cluster exhibits a diurnal cycle that peaks around noon, while the second cluster peaks in the evening. This variation arises from factors such as the city’s humidity levels, land cover, and the extent of human activity during nighttime hours.
Looking at the intracity LST distribution, a positive correlation between intracity LST and UI was identified. Within a given city, areas with a higher proportion of built structures, as opposed to green spaces or water bodies, exhibited elevated LST. Specifically, a 0.066°C increase in LST was observed for every 10% rise in UI. Additionally, a correlation between SVI and UI was detected, with SVI increasing by 0.009 for every 10% escalation in UI. These interrelationships among UI, LST, and SVI contribute to LST inequality. The findings of this study reveal that during peak heat periods, the more vulnerable population segments experience LST that is 0.54°C warmer than their less vulnerable counterparts.
In this study, I explore LST variations across 120 U.S. cities utilizing GOES data. The unique capability of GOES satellites to provide hourly LST lends a distinct advantage and authenticity to this research. This effort to create a database of the SUHI effect on major cities in the United States is novel, as previous research used LST that is estimated once daily, or gap-filled LST estimates from polar-orbiting satellites to conduct similar research (Bechtel et al. 2019; Liu et al. 2022). Moreover, I investigate the physical mechanisms that govern the SUHII dynamics across individual cities. Recognizing unique drivers is important, as it underscores the necessity for tailored climate change mitigation strategies based on the distinctive characteristics of each city.
For example, the majority of cities belong to cluster 1 in both seasonal and diurnal cycles of SUHII—which indicates higher SUHII in summer and noon. Since this study found that ΔEVI plays a critical role in this pattern, increasing urban green spaces could significantly help mitigate SUHI in these cities. On the other hand, cities that suffer higher LST at nighttime (cluster 2 in the diurnal cycle) should minimize the impact of SUHI by decreasing nighttime activity (ΔNL) or increasing ALB of infrastructure to reflect daytime incoming radiation, which serves as an energy source for the nighttime SUHII.
I further investigate the intricate relationship between intracity LST variations and societal inequality. The significant contribution of this research lies in its exploration of how urban heat distribution correlates with social disparities within cities. The insights gained are not just academically intriguing—they have profound implications for real-world applications. For instance, thermal discomfort, which can be caused by high LST, can lead to substantial health impacts (Lee and Dessler 2023). Populations with higher vulnerability often lack the necessary resources and access to effectively mitigate these potential impacts. This disparity underscores the importance of addressing environmental and social inequities in urban planning and public health initiatives. This aligns with critical social justice considerations in environmental research, highlighting areas where intervention can yield the most significant impact.
7. Limitations and future direction
While this study makes significant strides in understanding urban LST dynamics, it has limitations and potential avenues for enhancement. First, the inherent constraint of satellite measurements is that they capture only surface temperatures. Measures such as 2-m air temperature or wet-bulb temperature, which can have a more direct societal impact, are not accessible through this method.
Second, there is room for improvement in identifying potential drivers of seasonal and diurnal SUHI cycles, particularly those associated with nighttime seasonal variations. In this study, I utilize satellite-based estimates of EVI, ALB, and NL, along with reanalysis data of T2M and RH. However, as noted in the previous section and corroborated by earlier studies, pinpointing drivers of the nighttime seasonal cycle may require the incorporation of additional predictors. These include aspects of urban morphology (El Kenawy et al. 2020; Peng et al. 2022; Siddiqui et al. 2021), building orientation and materials (Farhadi et al. 2019; Okumus and Terzi 2021; Subramanian 2023), and further socioeconomic data (Best and Grimmond 2015; Feng et al. 2012; Ward et al. 2016), such as traffic patterns (Derdouri et al. 2021; H. Li et al. 2018). These factors could provide a more comprehensive understanding of the variables influencing the nighttime seasonal cycles of SUHI.
Third, it is notable that I employed the SVI to quantify population vulnerability, an index that integrates multiple factors influencing various vulnerabilities across the population. In future studies with a similar framework yet targeting specific outcomes related to heat, such as health, it is crucial to emphasize factors such as age or insurance coverage more significantly than the general SVI. Similarly, when the research objective centers on economic status, it is imperative to concentrate more on variables such as income or employment rates.
Last, the 2-km resolution offered by GOES satellites, though beneficial in terms of continuous monitoring, is coarser than that offered by some polar-orbiting satellites. This can pose challenges for a detailed intracity LST analysis, especially if the focus is neighborhood or block scale. In this study, I used SVI data, which are originally at the census tract level (around 4000 population), which is comparable with the GOES resolution of 2 km. However, for a detailed block-level analysis, LST with higher spatial resolution may be needed, whether from polar-orbiting satellites or through downscaling of LST estimates.
Acknowledgments.
This material is based on work supported by the U.S. Department of Energy, Office of Science, Office of Biological and Environmental Research’s Urban Integrated Field Laboratories’ CROCUS Project research activity, under Award DE-SC0023226.
Data availability statement.
All data used in this study are publicly available. GOES data used in this study are available in Amazon Web Services (AWS) repository. GOES-16 data can be found at https://noaa-goes16.s3.amazonaws.com/index.html, and GOES-17 data can be found at https://noaa-goes17.s3.amazonaws.com/index.html. ERA5 Land data are available on the Climate Data Store: https://doi.org/10.24381/cds.e2161bac. VIIRS datasets, including EVI, ALB, and NL, are available in the NASA Earthdata portal: https://www.earthdata.nasa.gov/. Gridded population data (GPW v4) are available in the NASA’s Socioeconomic Data and Applications Center (SEDAC) archive: https://sedac.ciesin.columbia.edu/data/collection/gpw-v4. Gridded SVI data can also be found in SEDAC: https://sedac.ciesin.columbia.edu/data/set/usgrid-us-social-vulnerability-index.
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