Exploring the Synergies between Urban Overheating and Heatwaves (HWs) in Western Sydney

: There is no consensus regarding the change of magnitude of urban overheating during HW periods, and possible interactions between the two phenomena are still an open question, despite the increasing frequency and impacts of Heatwaves (HW). The purpose of this study is to explore the interactions between urban overheating and HWs in Sydney, which is under the inﬂuence of two synoptic circulation systems. For this purpose, a detailed analysis has been performed for the city of Sydney, while considering an urban (Observatory Hill), in the Central Business District (CBD), and a non-urban station in Western Sydney (Penrith Lakes). Summer 2017 was considered as a study period, and HW and Non-Heatwave (NHW) periods were identiﬁed to explore the interactions between urban overheating and HWs. A strong link was observed between urban overheating and HWs, and the di ﬀ erence between the peak average urban overheating magnitude during HWs and NHWs was around 8 ◦ C. Additionally, the daytime urban overheating e ﬀ ect was more pronounced during the HWs when compared to nighttime. The advective ﬂux was found as the most important interaction between urban overheating and HWs, in addition to the sensible and latent heat ﬂuxes. The results will help to devise the appropriate strategies to mitigate extreme heat events and design countermeasures to urban overheating.


Methodology and Data
Sydney is the capital of the state of New South Wales (NSW), spreading along the south-eastern coastline, while, on the west, it is under the influence of one of the largest desert landforms in the world, the Australian arid biome [47]. From the eastern coastline to the western Blue Mountains, Sydney's metropolitan area extends by about 70 km [48]. For this study, Sydney is divided into three main zones, (i) Eastern Sydney, (ii) Inner Sydney, and (iii) Western Sydney. Eight different stations in three zones of Sydney are considered for the Heatwave (HW) calculation: Observatory Hill, Sydney Airport and Terrey Hills reserve in the eastern Sydney, Olympic park AWS and Canterbury Racecourse in the Inner Sydney, Horsley park Equestrian Centre AWS, Campbelltown and Penrith Lakes in Western Sydney ( Figure 1). To quantify the magnitude of urban overheating and characterize the synoptic conditions in Sydney, Observatory Hill-which is highly influenced by the sea breeze-is considered as the reference urban (coastal) station in this study, as proposed in [5]. Penrith Lakes, which is influenced by the desert winds, is taken as a nonurban (inland) station, with among the highest maximum temperatures in Western Sydney, and Australia in general.
Weather data are obtained from the Australian Bureau of Meteorology (BOM) for the sites of Penrith Lakes, Observatory Hill (OBS Hill) and six other stations in eastern, western, and inner Sydney. Observatory Hill (151 • 12 18" E, 33 • 51 39" S, 39 m above mean sea level) is located on a hill covered by greenery, in the proximity to the coast and Sydney's central business district (CBD) [49] OBS Hill is in a mixed-use area, with industrial, commercial, and residential buildings, extending over 27 km 2 , with a tree canopy cover of approximately 15.2% [50]. It is one of the densest areas in Sydney, with a population of 205,339, corresponding to 76.8 persons per hectare [51]. Wind is mostly blowing from sea to the site, and NE/SE winds are representing the sea breeze, while the winds from NW/SW blow from inner Sydney towards the reference station.
Penrith Lakes is in Western-Sydney, north-west of Observatory Hill, at about 55 km from the reference station and the nearest coastline is at 49 km distance. The weather station is located in Penrith Lakes regional park (150 • 40 42" E, 33 • 43 10" S, 24.7 m above mean sea level), with green areas, bare soil, and lakes in surroundings [49], while the close urban area of Penrith displays mostly residential and commercial buildings. Additionally, the Nepean river flows to the west of the station, and an aqua park and golf facility are also present nearby. The tree canopy cover of the area is around 25% of the Energies 2020, 13, 470 4 of 17 total land area, much higher than Sydney CBD [50]. Temperatures at Penrith Lakes are quite high in summer and sometimes reaching 47 • C. The population of Penrith is approximately 13,000. Wind speed and direction vary and NE/SE winds represent the wind coming from inner Sydney to the site, while the NW/SW direction denotes the dry, warm, and downslope winds (Foehn wind)/desert wind, which might increase the site ambient temperatures.
coastline, while, on the west, it is under the influence of one of the largest desert landforms in the world, the Australian arid biome [47]. From the eastern coastline to the western Blue Mountains, Sydney's metropolitan area extends by about 70 km [48]. For this study, Sydney is divided into three main zones, (i) Eastern Sydney, (ii) Inner Sydney, and (iii) Western Sydney. Eight different stations in three zones of Sydney are considered for the Heatwave (HW) calculation: Observatory Hill, Sydney Airport and Terrey Hills reserve in the eastern Sydney, Olympic park AWS and Canterbury Racecourse in the Inner Sydney, Horsley park Equestrian Centre AWS, Campbelltown and Penrith Lakes in Western Sydney ( Figure 1). Observatory Hill-which is highly influenced by the sea breeze-is considered as the reference urban (coastal) station in this study, as proposed in [5], to quantify the magnitude of urban overheating magnitude and characterize the synoptic conditions in Sydney. Penrith Lakes, which is influenced by the desert winds, is taken as a nonurban (inland) station, with among the highest maximum temperatures in Western Sydney, and Australia in general. The dataset that was composed of semi-hourly records was cleaned, and outliers and null-values were removed, while using the validation procedure that was proposed by Estevez et al. [52], comprising range tests, step tests, persistence tests, and relational tests. A two-step procedure was used to infill the gaps. The missing values up to three hours were linearly interpolated, while, for longer gaps, genetic algorithms have been applied to establish relations between the studied station and three nearest stations. Subsequently, the hourly averages were computed from 1999 to 2017. The dataset was analyzed to calculate the HW days and periods and understand the frequency and intensity of HW over the years. As done in [44], the period 1999-2017 was considered due to either the unavailability of data at some of the weather stations before the study period or issues with data quality and significant gaps, which could not be infilled for this type of analysis. The available meteorological parameters were the ambient temperature (near-surface air temperatures at 2 m height), Relative Humidity (RH), wind speed, and wind direction. Vapour pressure (Pv), saturated pressure (Ps), Absolute Humidity (AH), and dewpoint temperature were calculated from the available parameters. The summer of 2017 was selected as a study period, as it was one of the warmest summers in recent years, to identify the interactions between HWs & urban overheating at Penrith Lakes [44]. Additionally, a time series analysis of ambient temperature over Sydney from 1960 to 2016 demonstrated that the mean and maximum temperatures in summer have increased in recent years [53]. Monthly and seasonal UHI variations in Sydney have already been studied in [44], while the focus of the study is on urban overheating response during HWs.

HW Period Identification & UHII Calculation
Defining the HW period is not straightforward, as people in different areas have different climatic adaptability and, hence, the vulnerability factor might vary with the location. Consequently, there is no globally accepted definition of HW period, with multiple metrics being proposed in the literature [25,26,54,55]. The temperature threshold, spatial extension, and duration of the HW period are the most commonly used parameters for isolating HW events. Most of the metrics identify an HW when a threshold is trespassed by a given number of subsequent days with the limit being an Energies 2020, 13, 470 5 of 17 absolute maximum temperature threshold (35 • C or 37 • C), or a relative maximum temperature (90th, 95th, or 97th percentile) [22,25,26]. The latter type of metrics consider percentiles instead of absolute temperatures to account for the climatic adaptability factor. There is also no consensus on the minimum number of subsequent days trespassing threshold to be considered an HW: two consecutive days are used in the USA, while two to five consecutive days in Europe and Australia are taken as the minimum duration [17,[56][57][58]. Excess Heat Index (EHI) and Excess Heat Factors (EHF) also have been used to identify HW events, by considering the 95th percentile temperature threshold and three consecutive days [58]. In the present research, the temperature threshold is defined in terms of percentile, and the minimum duration is considered as three consecutive days, as in [37,55,56]. The number of HW days at Penrith Lakes, as calculated with 97th, 95th, and 90th percentiles were 208, 342, and 691 days, respectively, while the HW periods were 12, 31, and 84, respectively (Table 1). HWs is a regional phenomenon, thus, it was essential to know whether similar events were happening at other surrounding stations. Very few HW periods were noted at eight weather stations with the 97th percentile and three consecutive days definition. Additionally, these were not falling in the same period, which referred to the local overheating at a particular station. With the 95th percentile and three consecutive days definition, a common HW period at all weather stations was observed from 9-11th February, while the corresponding NHW period was considered from 13-15th February, as shown in Table 2. Two NHW periods of equal duration as of the HW period, one immediately before and one after the HW period, were considered in [37,41], to explore the synergies between urban overheating and HWs. However, in the present research, another HW period was noticed at Penrith Lakes from 4th-6th February (Table 2). Thus, only one HW and one NHW periods were considered for further analysis due to the gap of only two days between two HW periods. The threshold temperatures (95th percentile) were 34.7 • C and 29.4 • C, at Penrith Lakes and OBS Hill, respectively ( Table 2). During the summer of 2017, a total of four HW periods were recorded at Penrith Lakes, two in January and two in February. The magnitude of urban overheating is computed as the ambient temperature difference between Penrith Lakes and OBS Hill (∆T = T Penrith − T OBS Hill ). Thus, positive urban overheating magnitude indicates the higher temperatures at Penrith Lakes than in the City, while negative values mean higher temperatures at the coastal station. Mean urban overheating magnitude with standard deviations was also calculated for the whole HW and NHW periods to understand the variation in urban overheating patterns. Similarly, AH differences (∆AH = AH Penrith Lakes − AH OBS Hill ) were also calculated between both sites, and a positive value denotes higher latent heat flux at Penrith Lakes, while a negative value shows higher latent heat flux at the coastal site.

Energy Budget Equation Exploration
The energy budget equation is used to understand the surface energy contrast between urban and rural sites. The quantification of the energy budget equation at both sites during HWs and NHWs helps in understanding the interactions between urban-overheating and HWs. In the energy budget equation (Q* + Q F = Q H + Q E + ∆Q S + ∆Q A , expressed in W/m 2 ), Q* is the net all-wave radiative heat flux at earth surface. It consists of the balance of incoming and outgoing short-wave and long-wave radiations. Q F is the anthropogenic heating flux, which is high at urban sites due to human activities, such as air-conditioning use. Q H and Q E are the turbulent sensible and latent heat fluxes, respectively, and their sum is also called available energy. The sensible and latent heat fluxes are mostly explored while investigating the interaction between UHIs and HWs and are also considered as one of the important reasons for urban-rural temperature difference [35]. Sensible heat flux is usually high at urban sites, mostly due to higher surface temperatures, while latent heat flux is high at the rural site, because of abundant site moisture. Urban-rural moisture contrast is considered as one of the important synergistic interactions between HWs & UHIs [41]. ∆Qs is the storage heat flux, which is high at the urban site due to the higher heat storage capacity of surfaces. ∆Q A is the advective heat flux. In this study, sensible and latent heat fluxes during HWs and NHWs were estimated through near-surface temperature (ambient temperatures) and absolute humidity values.
Typically, higher surface temperatures during the HWs increases the ambient temperatures, through convection and resultantly sensible heat flux [59]. Similarly, latent heat flux increases due to the higher evaporation rates at the site. Wind speed and direction helped in identifying the advective heat potential at both sites. In the present study, mainly sensible, latent, and advective heat fluxes are explored to identify the synergies between urban-overheating and HWs. Initially, analysis is made for one representative HW (11 February 2017) day, last day of the HW period, having maximum temperature, and one NHW day (14 February 2017), having minimum temperatures during considered NHW period. After a one-day analysis, it is repeated for all HW and NHW periods.

Results
The magnitude of urban overheating was computed during both HW and NHW periods. Urban-overheating magnitude at daytime was quite high (average peak around 10 • C at 17:00) during the HWs, as compared to the NHW period, especially in the afternoon ( Figure 2).
The results show a strong connection between urban overheating and HWs. The specific pattern can be attributed either to advection from the sea breeze, cooling down the coastal station quickly during the day, and then intensified the urban overheating or because of the latent heat flux difference between both sites, got increased abruptly during the daytime.

Results
The magnitude of urban overheating was computed during both HW and NHW periods. Urbanoverheating magnitude at daytime was quite high (average peak around 10 °C at 17:00) during the HWs, as compared to the NHW period, especially in the afternoon ( Figure 2).

Coastal-Inland Moisture Contrast on Selected HW and NHW Days
During the HW day, the latent heat flux difference between the coastal and the inland sites increased in the daytime, compared to the NHW day ( Figure 3). Generally, due to higher surface temperatures during the HW period, the evaporation rate increases, which increases the AH. The availability of vegetation and ground surface moisture enhances the evaporation/evapotranspiration rates. Typically, evapotranspiration/evaporation is more evident in rural areas, when compared to urban areas and, hence, these areas show lower ambient temperatures. When the AH difference, between both sites, during the HW period at daytime was increasing, the urban-overheating magnitude was also increasing ( Figure 3). From here, it can be concluded that, despite having nonurban surfaces and being closer to the water bodies (lakes), latent heat flux at Penrith Lakes at daytime was lower, during the HW period when compared to the coastal site. The possible explanations include: (i) reduced evaporation rates at the site, (ii) advection of dry air at Penrith Lakes, (iii) advection of humid air from sea to the coastal site, and (iv) higher/constant evaporation or evapotranspiration at the coastal station. Temperature and AH profiles at Penrith Lakes and OBS Hill were explored further to understand the phenomena. The results show a strong connection between urban overheating and HWs. The specific pattern can be attributed either to advection from the sea breeze, cooling down the coastal station quickly during the day, and then intensified the urban overheating or because of the latent heat flux difference between both sites, got increased abruptly during the daytime.

Coastal-Inland Moisture Contrast on Selected HW and NHW Days
During the HW day, the latent heat flux difference between the coastal and the inland sites increased in the daytime, compared to the NHW day ( Figure 3). Generally, the evaporation rate increases due to higher surface temperatures during the HW period, which increases the AH. The availability of vegetation and ground surface moisture enhances the evaporation/evapotranspiration rates. Typically, evapotranspiration/evaporation is more evident in rural areas, when compared to urban areas and, hence, these areas show lower ambient temperatures. When the AH difference, between both sites, during the HW period at daytime was increasing, the urban-overheating magnitude was also increasing ( Figure 3). From here, it can be concluded that, despite having nonurban surfaces and being closer to the water bodies (lakes), latent heat flux at Penrith Lakes at daytime was lower, during the HW period when compared to the coastal site. The possible explanations include: (i) reduced evaporation rates at the site, (ii) advection of dry air at Penrith Lakes, (iii) advection of humid air from sea to the coastal site, and (iv) higher/constant evaporation or evapotranspiration at the coastal station. Temperature and AH profiles at Penrith Lakes and OBS Hill were explored further to understand the phenomena.

Wind Speed and Direction on Selected HW and NHW Days
Wind speed and its directions were examined during HW and NHW days and observed the following. During HW day, at daytime wind speed at Penrith lakes increased from 2-5 m/s and it was blowing from desert to the site ( Figure 4A). At this time, the wind was blowing from sea to site at OBS Hill, as shown in Figure 4C, and the urban-overheating magnitude was quite high. During the NHW day, wind speed at Penrith lakes was slightly higher when compared to the HW day, and it was blowing from Inner-Sydney to the site ( Figure 4B), and urban overheating magnitude was quite low, as compared to the HW day. The nocturnal wind direction at Penrith lakes during HW day (desert to the site) and NHW days (Inner Sydney to the site) did not change much when

Wind Speed and Direction on Selected HW and NHW Days
Wind speed and its directions were examined during HW and NHW days and observed the following. During HW day, at daytime wind speed at Penrith lakes increased from 2-5 m/s and it was blowing from desert to the site ( Figure 4A). At this time, the wind was blowing from sea to site at OBS Hill, as shown in Figure 4C, and the urban-overheating magnitude was quite high. During the Energies 2020, 13, 470 8 of 17 NHW day, wind speed at Penrith lakes was slightly higher when compared to the HW day, and it was blowing from Inner-Sydney to the site ( Figure 4B), and urban overheating magnitude was quite low, as compared to the HW day. The nocturnal wind direction at Penrith lakes during HW day (desert to the site) and NHW days (Inner Sydney to the site) did not change much when compared to the daytime. However, windspeed also got reduced at nighttime and urban overheating magnitude.

Absolute Humidity and UHI Magnitude at Night-Time
During HW & NHW days, AH at Penrith lakes was higher at nighttime, when compared to OBS Hill ( Figure 5B). The land cover (retaining more moisture content), proximity to the lakes, wind    On the other hand, at OBS Hill during the HW day, the nocturnal wind direction was from inland to the site, while during the NHW day wind was blowing from sea to the site ( Figure 4D). Wind speed during the NHW day at OBS Hill was much higher when compared to the HW day.

Absolute Humidity and UHI Magnitude at Night-Time
During HW & NHW days, AH at Penrith lakes was higher at nighttime, when compared to OBS Hill ( Figure 5B). The land cover (retaining more moisture content), proximity to the lakes, wind speed, and direction and evaporation of surface moisture (formed due to condensation) can explain the higher AH and lower nocturnal temperature at Penrith Lakes. The principal reason could relate to non-urban surfaces, having higher evaporation potential and increasing the latent heat flux at the site. Precipitation could be another important reason for higher soil moisture at Penrith Lakes, which was observed on the 7th and 8th of February.
Energies 2020, 13, x FOR PEER REVIEW 9 of 17 speed, and direction and evaporation of surface moisture (formed due to condensation) can explain the higher AH and lower nocturnal temperature at Penrith Lakes. The principal reason could relate to non-urban surfaces, having higher evaporation potential and increasing the latent heat flux at the site. Precipitation could be another important reason for higher soil moisture at Penrith Lakes, which was observed on the 7th and 8th of February. Dew formation is another potential reason for the increased AH value in the morning, as, in early morning, warm soil can evaporate the excessive surface moisture, which formed due to condensation. This phenomenon occurs if the surface temperatures are less than or equal to the dew point temperature, then humidity from the air condenses, and dew is formed. Site ambient temperatures at Penrith Lakes and OBS Hill were compared with dewpoint temperatures during both HW and NHW periods to explore the chances of dew formation, and it was found that, at Penrith Lakes, there were chances of dew formation during HW days, as shown in Figure 6A. Thus, a sharp increase in AH value at Penrith lakes at 6 am could be because of the evaporation of surface moisture.
Nighttime temperatures at both stations are almost the same during both HW and NHW days ( Figure 5A). At OBS Hill, steady sea surface temperatures penetrating at the site are maintaining the air temperatures and AH within a specific range, while the radiative cooling process at Penrith lakes due to its non-urban surfaces is quickly reducing ambient temperatures. Thus, the nocturnal urbanoverheating magnitude during both HWs and NHWs is negligible.

Daytime Urban Overheating Magnitude
Daytime temperatures at Penrith lakes were much higher when compared to OBS Hill during HW day ( Figure 5A). During this time, AH at the site got reduced very quickly and then started increasing again in the evening ( Figure 5B). Until midday, the AH was quite high and consistent at the site, but a sharp reduction in AH value referred to the change in wind speed and direction. During  Dew formation is another potential reason for the increased AH value in the morning, as, in early morning, warm soil can evaporate the excessive surface moisture, which formed due to condensation. This phenomenon occurs if the surface temperatures are less than or equal to the dew point temperature, then humidity from the air condenses, and dew is formed. Site ambient temperatures at Penrith Lakes and OBS Hill were compared with dewpoint temperatures during both HW and NHW periods to explore the chances of dew formation, and it was found that, at Penrith Lakes, there were chances of dew formation during HW days, as shown in Figure 6A. Thus, a sharp increase in AH value at Penrith lakes at 6 am could be because of the evaporation of surface moisture.
Nighttime temperatures at both stations are almost the same during both HW and NHW days ( Figure 5A). At OBS Hill, steady sea surface temperatures penetrating at the site are maintaining the air temperatures and AH within a specific range, while the radiative cooling process at Penrith lakes due to its non-urban surfaces is quickly reducing ambient temperatures. Thus, the nocturnal urban-overheating magnitude during both HWs and NHWs is negligible. Energies 2020, 13, x FOR PEER REVIEW 10 of 17 drastic increase in temperature was noted at Penrith Lakes. Wind speed started decreasing at 4 p.m., and resultantly temperature started falling and AH increased again because of the restoration of the evaporation process. The analysis of the data at Penrith Lakes during the whole HW period (9th-11th Feb.) & NHW period (13th-15th Feb.) found that daytime temperatures were consistently increasing at Penrith lakes from first HW day to the last HW day ( Figure 7A). On the other hand, latent heat flux during daytime at the site was getting reduced similarly, as shown in Figure 7C. The wind blowing from inner Sydney to the site (see methodology and data) is helping to reduce the site temperatures as site evaporation potential is not getting compromised ( Figure 8A,B). On the other hand, when the wind is blowing from desert to the site ( Figure 8A), ambient temperatures increase ( Figure 7A), as the evaporation process is becoming ineffective ( Figure 7C). It is due to dry, warm air, which is causing the fast depletion of available moisture and decreasing the latent heat flux at Penrith Lakes. Additionally, as wind speed from the desert is increasing, AH is getting further reduced and drastically increasing the temperatures.
In contrast to Penrith Lakes, daytime AH at OBS Hill, during both HW & NHW days, was high ( Figure 7D) and consistent and temperatures were also low in the same proportion ( Figure 7B). This is due to the advection of humid air from the sea as during both HW & NHW days, the wind was blowing from sea to OBS Hill ( Figure 4C,D). However, the wind speed was much higher, as compared to the HW day, during the NHW day. Thus, the temperatures at OBS Hill were accordingly low ( Figure 5A). On the other hand, during the HW day, although the temperatures were relatively high at OBS Hill, but because of higher evaporation from the sea, AH was also higher. After analyzing the three consecutive HW (9-11th Feb.) and NHW (13-15th Feb.) days at OBS Hill, it was found that, during both HW and NHW periods in the daytime, the wind was blowing from sea to the site ( Figure 8C,D). However, as wind speed was getting reduced, AH was also getting reduced due to less advection

Daytime Urban Overheating Magnitude
Daytime temperatures at Penrith lakes were much higher when compared to OBS Hill during HW day ( Figure 5A). During this time, AH at the site got reduced very quickly and then started increasing again in the evening ( Figure 5B). Until midday, the AH was quite high and consistent at the site, but a sharp reduction in AH value referred to the change in wind speed and direction. During the whole HW day, wind at Penrith lakes was blowing from desert to the site; however, until 1 p.m., wind speed was quite low ( Figure 4A). Advection from the desert wind with higher wind speed after 1 p.m., making the evaporation/evapotranspiration process ineffective at the site and, resultantly, drastic increase in temperature was noted at Penrith Lakes. Wind speed started decreasing at 4 p.m., and resultantly temperature started falling and AH increased again because of the restoration of the evaporation process.
The analysis of the data at Penrith Lakes during the whole HW period (9th-11th Feb.) & NHW period (13th-15th Feb.) found that daytime temperatures were consistently increasing at Penrith lakes from first HW day to the last HW day ( Figure 7A). On the other hand, latent heat flux during daytime at the site was getting reduced similarly, as shown in Figure 7C. The wind blowing from inner Sydney to the site (see methodology and data) is helping to reduce the site temperatures as site evaporation potential is not getting compromised ( Figure 8A,B). On the other hand, when the wind is blowing from desert to the site ( Figure 8A), ambient temperatures increase ( Figure 7A), as the evaporation process is becoming ineffective ( Figure 7C). It is due to dry, warm air, which is causing the fast depletion of available moisture and decreasing the latent heat flux at Penrith Lakes. Additionally, as wind speed from the desert is increasing, AH is getting further reduced and drastically increasing the temperatures.
In contrast to Penrith Lakes, daytime AH at OBS Hill, during both HW & NHW days, was high ( Figure 7D) and consistent and temperatures were also low in the same proportion ( Figure 7B). This is due to the advection of humid air from the sea as during both HW & NHW days, the wind was blowing from sea to OBS Hill ( Figure 4C,D). However, the wind speed was much higher, as compared to the HW day, during the NHW day. Thus, the temperatures at OBS Hill were accordingly low ( Figure 5A). from the sea and resultantly temperatures were increasing ( Figure 7B,D). When the wind was blowing from inland to the coastal site, AH was reduced, and temperatures increased.  On the other hand, during the HW day, although the temperatures were relatively high at OBS Hill, but because of higher evaporation from the sea, AH was also higher. After analyzing the three consecutive HW (9-11th Feb.) and NHW (13-15th Feb.) days at OBS Hill, it was found that, during both HW and NHW periods in the daytime, the wind was blowing from sea to the site ( Figure 8C,D). However, as wind speed was getting reduced, AH was also getting reduced due to less advection from the sea and resultantly temperatures were increasing ( Figure 7B,D). When the wind was blowing from inland to the coastal site, AH was reduced, and temperatures increased.

Discussion
The urban population is at higher thermal risk due to rapid urbanization and extreme heat events. Hence, comprehensive knowledge is required for identifying the factors, magnifying the urban-overheating, and changing the urban-rural energy contrast. In the present study, the very first time, the impact of extreme heat events on urban overheating is measured in a coastal city, which is also under the influence of the desert climate. The results reveal that the urban overheating effect gets amplified during the HWs, in contrast to some of the previous studies, where no modification or reduction in the UHI pattern was noticed during the HWs [34,43].
Additionally, it is found that the urban overheating effect is more pronounced in the daytime, especially in the afternoon. These results are consistent with the studies that were carried out in the coastal cities [37,38]. However, these results differ from other studies, where rural and noncoastal sites were compared, and due to a quick radiative cooling process at rural stations and slow cooling at urban sites, the nocturnal UHI effect was more intense during the HWs [33,35,41,42,60]. The nighttime urban overheating effect, in the present study, during HWs is unnoticeable. It is due to the rapid radiative cooling process at Penrith Lakes, due to non-urban surfaces and maintained temperatures at OBS Hill due to a steady sea breeze.
The difference between the peak average magnitude of urban overheating during HWs and NHWs is approximately 8 • C. In previous studies, with coastal or non-coastal reference stations, the maximum difference between HW and NHW urban overheating was from 1-2.5 • C [33,35,37,38]. The greater magnitude of urban overheating in Sydney is due to the presence of two different synoptic systems (heating mechanism-desert winds and cooling mechanism-coastal winds), on both sides of the city, which makes western Sydney more vulnerable. In the present study, advective heat flux is found as the dominant interaction between urban overheating and HWs, in addition to the sensible and latent heat fluxes. Advective heat flux was considered to be inconsequential for noncoastal cities; however, in coastal cities, it was one of the primary reasons for the intensification of urban overheating during HWs [37,38]. In noncoastal cities, urban-rural moisture contrast was considered a major interaction between UHIs and HWs [35,37,41].
Moreover, synergies between UHIs and HWs may get diminished if there is an insufficient latent heat flux difference between urban and rural sites [35]. In France, extreme temperatures were noted in 2003, because of the reduced evapotranspiration and latent cooling, which were linked to the soil moisture conditions [61]. Higher latent heat flux differences between urban and rural areas were also considered as the most important synergistic interaction in Beijing, China [35]. However, in the present study, sensible and latent heat fluxes at Penrith Lakes are also getting affected by the winds. Desert winds from the west are causing a fast depletion of available moisture at Penrith Lakes, consequently decreasing the total evaporation/evapotranspiration and, thus, the latent heat flux, while increasing the ambient temperatures. On the other side, a steady sea breeze at the coastal site during the HW event maintained the temperatures and humidity at a certain level. Generally, higher wind speed reduces the magnitude of UHIs [2,62,63]; however, in this case, winds with higher speed from the desert are increasing the temperatures at the inland station and, consequently, urban overheating. The impact of wind speed and direction (coastal and desert wind) on urban overheating at the coastal station highlights the importance of advective heat flux and shows it as the most influential interaction between urban overheating and HWs in Sydney.
Western Sydney's population is at high thermal risk, due to higher outdoor temperatures during extreme heatwave events. Thus, the chances of heat-related mortality, morbidity, air pollution, and electricity consumption increase [6]. Not only appropriate mitigation technologies need to be employed in Western Sydney, but CBD and eastern Sydney should be mitigated to allow for the sea breeze penetration in the Western Sydney through ventilation corridors to maintain the outdoor thermal comfort. Thus, through proper urban planning initiatives and design, excess urban heat can be mitigated and, consequently, it can help in reducing the economic burden from the health and energy sector. A detailed investigation of these mitigation technologies will be carried out in a subsequent paper. These results are not only applicable in Sydney, but they can also be applied to other cities, having similar boundary conditions, such as Muscat (Oman), Dubai(U.A.E.), Jeddah (Saudi Arabia), Dammam (Saudi Arabia), Casablanca (Morocco), etc. [2,64,65].
Reliance on the data from a single summer/year to identify the interaction between urban overheating and HWs is one of the limitations of this study, and results can be validated by considering data from some more recent summers. Additionally, this study can be further enhanced by analyzing the other weather stations in inner and Western Sydney. Other components of the energy budget equation may also be explored to understand the interactions between urban overheating and HWs further.

Conclusions
The frequency and intensity of HWs are increasing in the 21st century, negatively affecting the outdoor thermal comfort in urban areas. This study focuses on the interactions between urban overheating and HWs in a coastal city (Sydney, Australia), which is affected by a desert landmass. The results show a positive response between urban overheating and HWs, which gets magnified during the daytime, instead of night-time, consistently with the literature. Additionally, the difference between peak average urban overheating magnitude during HWs and NHWs was around 8 • C, which exceeds the most commonly documented figures. The greater difference between the magnitude of urban overheating during HWs and NHWs is attributed to the presence of two synoptic systems, which become further active during HWs. The increased severity of urban climate during HWs might severely affect human health, environmental quality by increasing the pollutants in the atmosphere, and economy by increasing the energy demand. Urban-rural moisture contrast is considered as one of the leading factors, intensifying the UHI magnitude during the HWs. However, advective heat flux was found as the dominant interaction between both these phenomena in addition to sensible and latent heat fluxes. Further, the advective heat flux also affected the sensible and latent heat fluxes at both sites and intensified the urban overheating. The results will help to devise the appropriate strategies to mitigate extreme heat events and design countermeasures to urban overheating.
Author Contributions: All authors (H.S.K., R.P., M.S., and P.C.) contributed equally in conceptualization, methodology, analyzing the data sets and preparation of the manuscript. All authors have read and agreed to the published version of the manuscript Funding: The authors kindly acknowledge the Australian Bureau of Meteorology for the weather data, analyzed in this study, whose post-processing and validation was initially supported by Sydney Water and CRC for Low Carbon Living with the research contract 'SP0012: Strategic Study on the Cooling Potential and Impact of Urban Climate Mitigation Techniques in Western Sydney'. The data analysis was also supported by the City of Parramatta, with the research contract 'Parramatta Urban Overheating'.