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Article

Integrating Urban Form, Function, and Energy Fluxes in a Heat Exposure Indicator in View of Intra-Urban Heat Island Assessment and Climate Change Adaptation

by
Ilias Agathangelidis
1,*,
Constantinos Cartalis
1 and
Mat Santamouris
2
1
Department of Physics, National and Kapodistrian University of Athens, 15784 Athens, Greece
2
Anita Lawrence Chair High Performance Architecture, Faculty of Built Environment, University of New South Wales, 2033 Sydney, Australia
*
Author to whom correspondence should be addressed.
Climate 2019, 7(6), 75; https://doi.org/10.3390/cli7060075
Submission received: 19 April 2019 / Revised: 21 May 2019 / Accepted: 24 May 2019 / Published: 28 May 2019
(This article belongs to the Special Issue Urban Heat Islands)

Abstract

:
Cities worldwide are getting warmer due to the combined effects of urban heat and climate change. To this end, local policy makers need to identify the most thermally vulnerable areas within cities. The Local Climate Zone (LCZ) scheme highlights local-scale variations; however, its classes, although highly valuable, are to a certain extent generalized in order to be universally applicable. High spatial resolution indicators have the potential to better reflect city-specific challenges; in this paper, the Urban Heat Exposure (UHeatEx) indicator is developed, integrating the physical processes that drive the urban heat island (UHI). In particular, the urban form is modeled using remote sensing and geographical information system (GIS) techniques, and used to estimate the canyon aspect ratio and the storage heat flux. The Bowen ratio is calculated using the aerodynamic resistance methodology and downscaled remotely sensed surface temperatures. The anthropogenic heat flux is estimated via a synergy of top–down and bottom–up inventory approaches. UHeatEx is applied to the city of Athens, Greece; it is correlated to air temperature measurements and compared to the LCZs classification. The results reveal that UHeatEx has the capacity to better reflect the strong intra-urban variability of the thermal environment in Athens, and thus can be supportive for adaptation responses. High-resolution climate projections from the EURO-CORDEX ensemble for the region show that the adverse effects of the existing thermal inequity are expected to worsen in the coming decades.

1. Introduction

Over two-thirds of the world’s population are projected to dwell in urban areas by 2050 [1], reflecting the continuously growing role of cities as centers of human and economic activity. Among other environmental concerns, such as ambient/indoor air pollution and waste management, cities experience elevated air temperatures relative to their surrounding rural areas [2], which is a phenomenon commonly referred to as the urban heat island (UHI). The thermal effect of a city is mainly related to [3]: (a) the urban form—the fabric, the surface cover, and the three-dimensional urban structure—and (b) the urban function—the waste heat resulting from human activities. Numerous studies have been conducted in the last decades measuring the urban canopy layer UHI (UHIUCL) (e.g., [4,5,6]) and estimating the surface UHI (SUHI) (e.g., [7,8,9]). Urban overheating is found to have a strong relation to increased energy consumption for cooling [10,11] and heat-stress related morbidity and mortality [12,13,14,15]. During heat wave events, urban heat has been proven a serious health hazard also for residents of usually cooler mid-latitude and high-latitude cities [16,17]. Global climate change further exacerbates the impact of the UHI, as it causes the warming of the climate system and makes the future occurrence of heat waves with higher frequency and duration very likely [18]. Initiatives for UHI mitigation/adaptation are being interlinked with climate change policies [19], and cities are gaining a central role in current global agreements, such as the recent Paris Agreement (2015) of the United Nations Framework Convention on Climate Change (UNFCCC).
Climate change [20,21] and more generally enhanced heat stress [22,23] do not affect all citizens of a city to the same degree, due to the intra-urban diversity of surface microclimates and the varying physiological characteristics of the population (e.g., age, state of health). City planners and policy makers need tools to identify the most thermally vulnerable areas of their city before designing and implementing climate policies [24]. The Local Climate Zone (LCZ) [25] categorizes urban areas based on their urban form and function in distinct, neighborhood-scale types that have uniform thermal climates. LCZs can provide valuable insight into the spatial thermal patterns when attributed across a city [26,27,28]. However, the LCZ classification is primarily focused on universally recognized built arrangements in view of UHI field sites’ selection and metadata reporting [25]—the latter being a significant limitation in the existing UHI literature [29]. As a consequence, intraclass thermal variability has been reported in several LCZ studies [6,30,31], which can to a great extent be attributed to the considerable range of surface parameters within each LCZ class [31]. This may hold especially true when LCZ mapping is derived using remote sensing imagery in the World Urban Database and Access Portal Tools (WUDAPT) project [32]. Furthermore, the LCZ scheme might not be necessarily capable of describing specific cases of the often irregular urban form of European cities [33].
An indicator that aggregates the driving forces of UHI can be viewed as an alternative representation of the urban thermal environment. Several studies have used thermal environmental indicators, either as a component within the Urban Climatic Map (UCMap) framework (e.g., [24,34,35]) or as an independent metric (e.g., [22,36,37]). Nevertheless, in most of the relevant indicators, the highly important features of urban form and function are not considered. The three-dimensional complexity of the city is reported to be often missing [38], and dynamic urban processes, such as the turbulent energy exchanges and the anthropogenic heat emissions, are typically not explicitly integrated. Here, a physically based, thermal indicator—the Urban Heat Exposure (UHeatEx) indicator—is proposed. UHeatEx integrates the most important physical processes that have been identified to control local surface climates, modify the surface energy balance, and cause the UHI. These processes are [2,25]:
  • High values of the ratio of building’s height (H) to street width (W)—canyon aspect ratio (H/W)—result in canyon trapping [39,40], i.e., the absorption of shortwave radiation in the canopy is stronger via multiple reflections on walls, and in the longwave radiant heat loss being strongly obscured [41,42].
  • Sensible heat refers to the direct warming of air that can be sensed by a thermometer, whereas the latent heat component of the urban energy balance is mostly associated with the energy exchanges during surface moisture evaporation. The dry, impermeable urban facets favor sensible (QH) over latent (QE) heat flux; i.e., the Bowen ratio (β = QH/QE) has higher values. As a result, the evaporative cooling effect decreases [43,44].
  • High thermal inertia of the construction materials and of the built environment in general results in a large proportion of incoming solar radiation to be stored during the daytime in the urban system—high net heat storage (ΔQS)—and being released at nighttime, maintaining the urban heating effect [45].
  • The anthropogenic heat flux (QF), e.g., waste heat from vehicular traffic and from space heating/cooling, is an additional energy source into the surface energy balance [46].
These four decisive parameters for the urban climate (H/W, β, ΔQS, QF) are estimated in this work using meteorological, earth observation, and geographical information system (GIS) data; the different variables are subsequently incorporated in the UHeatEx composite indicator via principal component analysis (PCA). An additional mapping of the study area using the LCZ scheme is applied, and similarities and differences between UHeatEx and LCZs are discussed. Both results are correlated with air temperature measurements from a network of automatic weather stations (AWSs) in the area under examination, for a six-year period (the warm period months). A qualitative and quantitative analysis examines the presence of thermal inequity in Athens and its relationship with socioeconomic characteristics. The growing importance of thermal indicators in sustainable urban planning, due to climate change, is demonstrated by presenting the simulated future conditions of the city. To this end, high-resolution climate projections from an ensemble of regional climate models (RCMs) were used.

2. Materials and Methods

2.1. Study Area

The study site of this work is the Athens agglomeration (hereafter referred to as Athens), including the cities of Athens and Piraeus, and their suburbs; it is located at the central part of Greece, at the south end of the Attica peninsula and covers a total area of 414.6 km2 (Figure 1). Athens has a subtropical Mediterranean climate with mild winters and hot, dry summers; however, both heating and cooling demands are significant [47]. For the first post-war decades, a rapid densification took place in the central and western parts of the city; since the mid-1970s, urbanization has shifted to a less intense suburban expansion to the northeastern and southeastern districts [48]. The prevailing building types in Athens are flat-roofed, light-colored, multi-story apartments, using cement as the prevailing construction material [49]. The high thermal mass that is associated with these buildings, the scarce green infrastructure [50], and the narrow streets contribute to the development of a strong UHI in a large part of Athens [51,52,53].

2.2. Urban Form

A detailed spatial mapping of the urban form (fabric, land cover, geometric structure) is necessary for the estimation of H/W and for the required ancillary data regarding the calculation of the urban energy fluxes. A high-resolution land cover classification was used that distinguishes 10 man-made and natural materials [55]; the classification was derived using a machine learning approach integrating the 10-meter resolution bands of the Sentinel-2 satellite, land use information, and digital elevation models. Building footprints were available from the Hellenic Statistical Authority (ELSTAT) [56] and the OpenStreetMap project [57]. Very high-resolution digital elevation models—a 0.8-meter resolution digital surface model (DSM) and a five-meter resolution digital terrain model (DTM)—were provided from the Greek land registry service (Hellenic Cadastre). Using the above data sources, the height of urban elements and the plan-area fraction of buildings (λb), floors of buildings (λfloors), impervious ground surface (λi), vegetation (λv), and soil (λs) were calculated. An automated extraction of the H/W parameter is challenging, as a result of the high complexity of urban patterns; to this end, the consideration of linear traverses at different angles [58,59] and of local distance maxima [60] have been previously used. A new approach was followed here, employing the urban block unit and making use of standard GIS algorithms (Figure 2): (a) buildings were first assigned to their respected urban blocks and the minimum convex containing the buildings of each block (i.e., the convex hull) was constructed; (b) then, buildings were attributed to their adjacent convex sides and a corresponding mean H for each side was computed; (c) road segments were formed as the centerlines between opposite convex sides (estimated using Voronoi diagrams); (d) H/W was finally computed as the ratio of the mean H adjacent to the road to twice the distance of the convex side to the centerline (road and sidewalk width). For open areas and irregular building arrangements, H/W was estimated using the spacing of buildings in the place of W. The frontal aspect ratio (λf) was calculated from the projected area of windward facets to the wind for different wind angles (per 15°) [59,61,62]. Surface thermal emissivity and surface reflectance were derived from [55]: (a) emissivity was estimated with a land cover-based approach using the above-mentioned 10-meter resolution classification and emissivity values from spectral libraries; (b) for surface reflectance, the Landsat 5 and 8 Surface Reflectance on-demand product was used, which was obtained from the United States Geological Survey (USGS) Earth Explorer portal. Digital elevation models were not available for the natural zones on the city outskirts (see Figure 1); thus, the properties of the urban form—and as a consequence, all the subsequently derived variables—were not estimated for these areas. All the finer-scale parameters were aggregated using a weighted area average to a 100 × 100 grid.

2.3. Bowen Ratio

Remote sensing methods have often been used in natural [63,64,65] and urban environments [66,67,68] for the estimation of the turbulent surface fluxes using the aerodynamic resistances for heat (rH) [s m−1] and moisture (rV) [s m−1] transfer:
Q H = ρ α c p T s T a r H   [ W   m 2 ] ,
Q E = ρ α L V q s q r V   [ W   m 2 ] ,
where ρα is the air density [kg m−3], cp is the specific heat of air at constand pressure [J kg−1 K−1], Ts is the surface temperature [K], Tα is the air temperature [K], Lv is the latent heat of vaporization [J kg−1], qs is the saturation specific humidity at Ts [kg kg−1], and q is the specific humidity of air [kg kg−1]. Ts was estimated from Moderate Resolution Imaging Spectroradiometer (MODIS) radiances, downscaled to 100 m and converted to surface temperature using a statistical downscaling methodology that combines ridge regression with multiple predictor variables and a high-resolution emissivity map [55]. MODIS calibrated radiances product (MOD/MYD021KM) and precipitable water product (MOD/MYD05-L2) were accessed from the National Aeronautics and Space Administration’s (NASA’s) Level-1 and Atmosphere Archive and Distribution System (LAADS) Distributed Active Archive Center (DAAC). Above rooftop level meteorological data—Tα, barometric pressure (P), wind speed (W), relative humidity (RH), and downward solar radiation (K↓)—were provided from the network of urban AWSs of the National Observatory of Athens via its online interface ([69]; http://stratus.meteo.noa.gr/front; Figure 1). These data were subsequently interpolated in the study area using regression kriging with elevation as an auxiliary variable [70] (K↓ was considered constant for the whole study area). The rH resistance parameter —including the friction velocity (u*)—was calculated as [66] with the following parameterizations: (a) the roughness length for momentum (z0) and the zero plane displacement level (zd) were calculated from a recent modification of Macdonald et al.’s morphometric method [71], which was presented in [72]; (b) the roughness length for heat was estimated from [73] for the predominantly urban (λv < 5%) and from [74] for the mixed pixels, respectively. For rV, the formulation of [75] and the parameter values for the minimum stomatal resistance (rsmin) in [76] were used. Roughness sublayer (RSL) stability corrections and the Obukhov length (L) were calculated following [77]. Daily midday (∼12:00 local time) β values (βm) were calculated for the cloud-free MODIS-TERRA thermal imagery of July 2017. A minimum midday magnitude of 5 W m−2 was set for QE, in order to account for unmapped subpixel vegetation and avoid infinite βm values. Eddy covariance (EC) is a micrometeorological technique that allows the direct measurement of vertical turbulent fluxes, using the high-frequency data of the vertical velocity component, along with the scalar quantities of the corresponding atmospheric parameters. Employing this method, the validation of QH and QE was performed using flux tower measurements from the European Space Agency (ESA) Thermopolis campaign that took place at the Athens city center in July 2009 (tower measurements conducted from 18 to 27 July) [78,79]. The fast-response measurements of wind, temperature, and humidity, as performed by the Democritus University of Thrace (DUTH) and provided for this work by ESA (https://earth.esa.int/web/guest/campaigns), were preprocessed using standard eddy covariance flux corrections [79] employing the processing code from [80]. Turbulent fluxes were subsequently derived from:
Q H = ρ α c a w θ ¯   [ W   m 2 ] ,
Q E = ρ α L V w q ¯   [ W   m 2 ] ,
where w′ [ms−1], θ′ [K], and q′ [kgkg−1] represent the short-term fluctuations of vertical wind, potential temperature, and specific humidity respectively. The adjacent half-hour intervals to the corresponding satellite overpasses were used, in order to reduce the large fluctuations of EC measurements [81]. Turbulent flux source areas were estimated from the Korman and Meixner footprint model [82] using the Urban Multi-scale Environmental Predictor (UMEP) GIS tool [83].

2.4. Net Storage Heat Flux

Heat storage uptake and release in urban systems is typically estimated using one of the following techniques: the Objective Hysteresis Model (OHM) [45,84], the modeling of heat transfer through urban surfaces [68,85], or the closure of the surface energy balance [86,87]. The OHM methodology is a robust approach that provides accurate estimates compared to observational data, especially when the representation of the typical average storage magnitude, rather than its short-term fluctuations, is of primary concern [88]. Considering the contribution of individual surface types (k), OHM can be applied as:
Δ Q S = k = 1 n f k [ a 1 k Q * + a 2 k   Q * t + a 3 k ]   [ W   m 2 ] ,
where Q* is the net radiation flux [W m−2], f is the fractional cover of the different surfaces (estimated from data in Section 2.2) and a1, a2, and a3 are the OHM model coefficients (Table 1). Q* is calculated as in [89], using the surface parameters, the remote sensing data, and the atmospheric variables presented in Section 2.2 and Section 2.3. The average daily course of Q* for the cloud-free days of July—measured from the World Radiation Centre (WRC) group during the Thermopolis 2009 campaign [78] and included in the previously mentioned ESA dataset—was used to derive the second term in Equation (5). Midday net heat storage values (ΔQsm) were estimated for July 2017, synchronous with the corresponding MODIS-TERRA overpasses.

2.5. Anthropogenic Heat Flux

Three techniques are commonly employed to estimate QF [46]: (a) the energy budget residual approach [68,85,96], (b) top–down estimates based on the disaggregation of coarse energy consumption statistics [97,98,99], and (c) bottom–up estimates that model energy consumption at fine scales [100,101,102]. A synergy of the latter two methodologies [103,104] can provide the necessary balance between the data availability and required accuracy [105]. This approach was also followed here, with different QF components being estimated as follows (the year 2012 was selected, where the availability and applicability of all sources was ensured).

2.5.1. Building Heat Emissions (QFB)

Annual electricity consumption was provided by the Hellenic Electricity Distribution Network Operator (HEDNO) per end-use sector and per postal code (234 codes were included within the study area). For the residential and commercial sectors, the consumption data of electricity were first distributed from the postal code area to a 100-meter grid using λfloor as a weighting factor, and the waste heat was subsequently estimated as:
Q F B = ( E A ) F E 1 F E 2 F E 3   [ W   m 2 ] ,
where E is the total annual electricity consumption [W] for each grid cell, A is the grid area [m2], and FE1, FE2, and FE3 are scaling factors related to temperature, intra-week, and diurnal variations, respectively. A city-specific temperature response function ([106]; Figure 3a) and daily mean Tα (see the description of meteorological data in Section 2.3) were used to calculate FE1. The weekly and diurnal temporal variability (FE2, FE3) were incorporated in the model considering previous research on the electricity consumption of Athens [107,108]; the derived average daily cycles per sector is shown in Figure 3b. Based on [107], temporal profiles were modeled to differ between winter and summer months. In the summer, the late evening peak is lower due to more people being outdoors, and the night minimum is higher as a result of air conditioner usage. The industrial electricity consumption for each postal code was uniformly distributed to the corresponding industrial land use zones, and average load profiles from the Greek Independent Power Transmission Operator (ADMIE) [109] were used. Only aggregated information for heating oil and natural gas consumption was available, from ELSTAT and the Hellenic Gas Transmission System Operator (DESFA) [110]; thus, for these sources, only the city-wide QF estimates are presented—not influencing the warm period results. Gas daily fluctuations (obtained from DESFA [110]) were considered to be befitting for both natural gas and oil consumption (after accounting for the limited, supplementary gas usage, e.g., for cooking).

2.5.2. Vehicular Heat Emissions (QFV)

A bottom–up approach was used to model traffic emissions, using: (a) the annual average daily traffic (AADT) from 410 points in the study domain, provided by the Athens Traffic Management Centre (ATMC) and covering mainly the major network roads, and (b) average AADT values per road type derived in the present work after a survey of local municipal traffic studies (Table 2). Road types were determined using OpenStreetMap data [57] and General Urban Planning maps from the Hellenic Ministry of Environment and Energy (YPEKA) [111]. The released heat by the combustion of fuels was computed for each grid cell following [96]:
Q F V = ( 1 A ) i N i L i V F V 1 F V 2 F V 3   [ W   m 2 ] ,
where index i corresponds to different road segments within each cell, N is the number of vehicles, L is the road segment length [m], V is an emission heat factor [J m−1], and FV1, FV2, and FV3 are the monthly, weekly, and diurnal scaling factors, respectively. Parameter V was calculated from the estimates of the COPERT tool used in the European Monitoring and Evaluation Programme (EMEP) / European Environment Agency (EEA) air pollutant emission inventory guidebook (2016) [112] using city-specific: (a) vehicle fleet composition from ELSTAT [113], (b) vehicle fuel types from the European Automobile Manufacturers Association (ACEA) [114], and (c) the emission standards of current vehicles from the Hellenic Association of Motor Vehicle Importers-Representatives (AMVIR) [115]. The temporal dynamics of vehicular traffic for Athens (FV1, FV2, and FV3 parameters) were obtained from the Supplementary Material of [116].

2.5.3. Metabolic heat emissions (QFM)

The anthropogenic heat flux associated with human metabolism is generally considered a minor component of QF for mid-latitude cities, accounting for fewer than 5% of the overall anthropogenic waste heat [117]; however, it can get relative large values (up to 45% of QF) for high-density, low-latitude urban areas [118]. The formulation and parameters from [99] were applied for QFM, using the GEOSTAT 2011, gridded 1-km2 population data from the Statistical Office of the European Union (EUROSTAT) [119] and subsequent disaggregation through the λfloor parameter.

2.6. UHeatEx

The selection of an appropriate weighting scheme to determine the contribution of each individual component is a key factor in the development of composite indicators [120]. PCA is a multivariate statistical technique that can be used for reducing the dimensionality of an original set of variables, estimating the variable weights in order that the maximum proportion of information is preserved [121]. PCA has often been employed in the relevant literature for the development of socioeconomic and environmental indices (e.g., [36,122,123]). In this study, the PCA technique was applied to the urban heat-related parameters that were described in the previous sections (H/W, β, ΔQS, and QF), in order to derive a synthetic urban indicator (UHeatEx). The four above parameters—all positively correlated with a greater risk for urban thermal stress—correspond to the initial set of variable indicators (features) X = [X1, …, Xp]T (here, p = 4), for which an appropriate weighting scheme is sought through PCA. Since these initial variables are characterized by different units and/or range of values, as a first step, the standardized data matrix Z = [Z1, …, Zp]T was calculated, subtracting from each variable its arithmetic mean (μ) and dividing the result by the corresponding standard deviation:
Z = ( D ½ ) 1 ( X μ ) ,
where D is the diagonal standard deviation matrix. Then, the covariance matrix R of the transformed standardized variables is calculated as:
R = Cov ( Z ) = ( D ½ ) 1 K ( D ½ ) 1 ,
where K is the covariance matrix of the initial variables X. PCA is subsequently performed through the eigendecomposition of matrix R:
R = P Λ P T ,
where P is a p × p matrix of the eigenvectors e (also referred to as component coefficients or scores) and Λ is a diagonal p × p matrix of the eigenvalues λ (with λ ≥ 0). The nth principal component Yn of the set of variables Z is finally given by:
Y n = e n T Z = e 1 n Z 1 + + e pn Z p
The first principal component corresponds to those component coefficients (i.e., set of linear weights) that explain the largest possible amount of variation in the original data. The subsequent (three) principal components—which are not linearly correlated with the first principal component or among each other—account for the remaining variation in the image. Thus, through PCA, it is possible to derive that linear combination of the initial variables H/W, β, ΔQS, and QF that achieves the most effective mapping of the spatial variability of the thermal signatures in the study area. As it will be discussed in Section 3, taking into account the physical meaning of the original data, the PCA results, and the final objective of the study, the association of the composite index UHeatEx solely with the derived first principal component was selected. A flowchart illustrating the overall methodology that was followed to derive H/W, β, ΔQs, QF, and UHeatEx is given in Figure 4.

2.7. Local Climate Zones

A further classification of the study area in the LCZ morphological types was performed. The GIS-based approach [124,125,126,127] can provide highly accurate LCZ mapping, as it typically utilizes real urban morphological data [125]. The target resolution of LCZs varies among studies [126]; here, LCZs were estimated at two grid resolutions: (a) at 100 m, which is the resolution that was also used for the UHeatEx indicator, and (b) at 400 m, which corresponds to the minimum LCZ diameter, as suggested in [25]. Using the urban surface properties presented in Section 2.2 and the range of parameter values for each LCZ class [25], the GIS-based method was applied as follows. As a first step, pixels were classified on the basis of whether the urban canyon is their predominant feature—to that end, land use information and a minimum height-to-width threshold (H/W > 0.3) were used. For pixels corresponding to areas where urban canyons and regular urban blocks arrangements could be found, LCZs were mapped using the non-overlapping thresholds of LCZ parameters. That is, pixels were initially sorted using the urban elements’ heights (high-rise, mid-rise, and low-rise types) and subsequently using the H/W (compact and open subtypes), i.e., LCZs 1 to 6 were identified. In the case of detached or irregularly spaced buildings, λb, λi, λv, and λs values were used to map the following distinct LCZs: Large low-rise (LCZ 8), Sparsely built (LCZ 9), or one of the natural LCZ classes (LCZs A–G).

2.8. Climate Change Projections

Climate change simulations from the current global climate models (GCMs) correspond to a horizontal scale coarser than 100 km; thus, they are generally unsuited for city-scale projections. Dynamical downscaling, in which GCMs are used to drive RCMs at higher resolution, can provide more detailed information about the regional to local climate. In this study, we used 14 high-resolution European Coordinated Regional Downscaling Experiment (EURO-CORDEX) RCM simulations, part of the global Coordinated Regional Downscaling Experiment (CORDEX) project [128] (Table 3). The multi-model mean of the projected near-surface air temperatures at a 0.11° resolution (∼12.5 km) (EUR-11) was computed for a 50-year period (2021–2070), and the results were averaged for the two grid cells covering the study area. The moderate Representative Concentration Pathway (RCP) 4.5 scenario was selected for the projected greenhouse gases concentrations. The EURO-CORDEX simulations were accessed through the Climate4Impact portal (http://climate4impact.eu).

3. Results

The LCZ classification map at 400-m resolution (Figure 5) shows that the dominant morphological type of Athens is compact mid-rise (LCZ 2), covering almost completely the city center areas and a large part of the region around the central municipality. LCZ 2 also prevails at the central areas of Piraeus and can be further found in a few recently overbuilt suburban sites. The generally lower height of buildings at the western periphery of Athens results in a high coverage of the compact low-rise class (LCZ 3); whereas in the lower density districts—the northeastern and southeastern suburbs—the open mid-rise (LCZ 5) and open low-rise (LCZ 6) classes are prevalent. The extended large low-rise (LCZ 8) zone between the city centers of Athens and Piraeus was an active industrial center until the 1970s; nowadays, it serves as a light industrial site, including vacant buildings and brownfield land. The LCZ classification result for the central areas does not manage to describe potential microscale variations of differing surface energy balances, attributing them invariably to LCZ 2. In addition, a clear distinction of the central commercial district of Athens cannot be made. This mainly stems from the historically imposed building height restrictions that result in the compact high-rise class (LCZ 1) (typically corresponding to downtown areas) to be absent from the 400-m scale mapping, with the exception of one pixel. Furthermore, areas of specific land use and associated thermal degradation (e.g., major highways) are not depicted.
The H/W spatial distribution, as shown in Figure 6a, illustrates part of the previously unrevealed morphology of Athens. While high buildings (above 25 m) are generally scarce, the excessive building density has resulted in disproportionately narrow roads, especially in the central city areas. As a consequence, a large percentage of urban canyons in the inner city of Athens are characterized by H/W ratios over 2, while their adjacent buildings have a mean height fewer than 25 m—which is a combination of morphological parameters that is not covered under the LCZ framework. For the outer urban districts, the H/W patterns generally follow the LCZ classes, since H/W is a primary threshold value in the LCZ mapping procedure. The lower H/W values tend to be found in the LCZ 8 class and in the sparsely built neighbourhoods (e.g., LCZ 9).
Figure 6b presents the average βm for July 2017, as derived from daily downscaled MODIS-TERRA thermal data and synchronous meteorological measurements. The southwestern neighborhoods tend to have the higher magnitudes of βm (i.e., channeling more heat into QH than QE), which is readily associated with lower values of λv and high Ts. Significantly high midday Bowen ratio values (over 20) are estimated for the 100-meter resolution pixels that consist mainly of dry surfaces (rooftops, roads). Open impervious areas (LCZ 8 and LCZ E) are, as expected, also characterized by high βm values. In contrast, the lower magnitude of βm is generally seen in the more vegetated northern suburbs; βm values as low as 0.6 can be found in a few northern residential districts, where QE substantially exceeds QH even at around midday. The central areas of Athens mainly tend to have high βm (although lower in magnitude in comparison to those in the broader periphery of Piraeus) with the exception of urban parks, which have notably low values. The spatial variation of βm is generally linked to λv; however, wind speed, humidity, and aerodynamic properties play a contributing role in the developing patterns.
The validation of the modeled QH and QE values was performed using the turbulent fluxes, which were calculated employing the EC method from the available flux tower measurements during July 2009. The QH values estimated by the EC techniques ranged here from slightly positive nocturnal values to an average peak of ∼150 W m−2 at midday, which is in accordance with the results presented in [79]. In addition, relatively low QE (EC) values were found, with a daily average maximum value of approximately 30 W m−2. For the detailed presentation and analysis of the measured energy and momentum fluxes at the Thermopolis campaign site, the reader is referred to the corresponding research papers [79,87]. To expand the synchronous remote sensing imagery and EC estimates availability in this study, along with the midday MODIS-TERRA, nighttime MODIS-TERRA (∼23:00 local time), and early afternoon MODIS-AQUA (∼15:00 local time), thermal images were used that were preprocessed as in [55] (imagery with a sensor viewing angle over 55° were not included). Figure 7 shows that a moderate level of agreement is obtained between modeled (aerodynamic resistance method) and measured fluxes (EC method). An average root mean square error (RMSE) of 33.1 W m−2 was found for QH and of 10.2 W m−2 for QE; when considering only daytime results, the RMSE was 41.5 W m−2 and 15.5 W m−2 for QH and QE, respectively. A sensitivity analysis for the aerodynamic resistance methodology was conducted in order to investigate the response of the modeled turbulent fluxes to perturbations of the most significant input variables. The sensitivity of the different terms was individually tested, i.e., for each examined variable, all the other input values were held fixed; in addition, only the daytime fluxes were considered. As shown from Table 4, the modeled QH is highly sensitive to the (TsTα) factor of Equation (1). A change of 2 K of the term results in a deviation of ~20% for the estimated QH, which is an uncertainty of ~30 W m−2 in the case of a sensible flux in the order of 150 W m−2. This highlights the high importance of acquiring accurate remotely sensed Ts for the modeling of surface–atmosphere interactions. The downscaled Ts used in this study was found to have an uncertainty of ~1.5 K for the Thermopolis site and <2 K for the entire study area [55]; thus, it is considered to have a relative large impact in the obtained errors. An additional important source of uncertainty in the remotely sensed turbulent fluxes is the derivation of the u* value. Here, a smaller RMSE (by approximately 10 W m−2) was obtained for daytime results when the EC-derived u* value was used in the place of the u* value modeled from wind speed measurements. The respective change of the Bowen ratio from the perturbed u* value is to an extent compensated, as both turbulent fluxes change in the same direction. QH and QE were found to be rather insensitive with perturbations in the aerodynamic parameters and the Obukhov length (<2% sensitivity). An additional source of uncertainty for QE is the (qsq) factor and the rsmin parameter. Their impact in absolute terms is limited in the urban core, as QE was found to have low values (fewer than 30 W m−2); however, for the vegetated suburbs, the estimation sensitivity is expected to be higher. The sensitivity analysis findings are in agreement with those reported in [67,81] (in terms of percentage variations), where Ts was also considered to be the most important parameter in the resulting sensitivity of the fluxes.
A more uniform spatial distribution than H/W and βm was found for the estimated ΔQsm (Figure 6c). Generally, major highways and other open paved zones tend to be those with the larger values, which was a consequence of the lower surface reflectance and high OHM parameters for asphalt. A large ΔQsm value is also obtained for central areas, due to the higher building density and lower vegetation fraction. Northern suburbs, which are covered to a large extent by natural surfaces, tend to absorb and store a smaller amount of heat. An average ΔQsm of 220 W m−2 at the Thermopolis flux tower site indicates that the OHM estimates are in good agreement with the average midday value of approximately 250 W m−2, which was derived as an energy balance residual during the Thermopolis campaign [87].
The average daily QF value in Athens for July 2012 is presented in Figure 6d. It can be seen that a concentric pattern of heat emissions develops around the city center of Athens. Generally, the higher QF values are associated with high commercial energy usage; the residential QF value is relatively lower, despite the high population density and a continuous space cooling demand for the discussed period. Daily average QF values up to 108 W m−2 were estimated for the commercial city center. The average QF releases for residential areas do not exceed 60 W m−2, including the most densely built neighborhoods. Peak average heat emissions tend also to appear in the major highways, with values generally (up to ∼80 W m−2). A generally moderate QFT can be found for the secondary traffic network, resulting from the contrasting features of Athens as a compact city with a well-established public transport network and with high vehicle ownership. The heat released by anthropogenic activities presented in Figure 6d correspond to averaged values throughout daytime and nighttime hours.
In order to outline the daily QF dynamics and the local spatial variations, the median daily temporal profiles of QF (for July 2012) are calculated for an extended area (∼530,000 m2) covering the city center of Athens (“Athens Commercial Triangle”) (Site 01 in Figure 8) and five representative grid cells (10,000 m2) corresponding: (i) to an anthropogenic emissions hot spot inside the above-mentioned area (located in the vicinity of the Omonoia Square), (ii) the Thermopolis flux tower site (Patission Street), (iii) a main traffic corridor site (Kifissou Avenue), (iv) a high population density residential site (Zografou), and (v) a low population density residential site (Vrilissia) (sites 02–06 in Figure 8). For the city center (Figure 9a), it can be seen that QF follows a bell-shaped curve profile with high values between (9:00–17:00), corresponding to the combined effect of heat emissions from air conditioning usage, vehicular traffic, and the various office/shop electricity needs. A late evening increase reflects increased QF values from recreational venues in the examined area. The average daytime heat emissions for the Athens Commercial Triangle are about 75 W m−2, with a peak value over 100 W m−2. The local commercial site presented in Figure 9b follows a similar daily cycle; however, it is characterized by much higher anthropogenic heat releases with average daytime QF values of 125 W m−2 and a maximum of 170 W m−2. The peak surpassed 185 W m−2 in the hottest day of the month. With increasing distance from the city center core, the anthropogenic emissions are becoming lower in magnitude (Figure 9c). For Patission Street (Thermopolis site), an estimation for QF of approximately 50 W m−2 has been previously derived in [79]—for a coincident period under similar meteorological conditions (July 2009)—using the assumption that during the daylight hours, anthropogenic heat emissions are included in the sum of turbulent fluxes and upwelling longwave radiation, and subsequently employing a fluxes time lag between normal working days and Sunday. Despite the differences in methodologies in [79] and in this study, a reasonable level of agreement is found, with estimated daytime values of ∼40 W m−2 (Figure 9c). The temporal profile shown in this figure presents differences from the profile in Figure 9a, due to the stronger relative contributions of vehicular, residential, and metabolic emissions in the area compared to the commercial buildings’ QF component. The daily evolution of QF is also significantly different for the Kifissou Avenue site (Figure 9d); the two daily maxima correspond to morning/evening traffic rush hours. During these high vehicular traffic moments, QF reaches up to 100 W m−2, whereas heat emissions during the nighttime get closer to zero. The primarily residential site of Figure 9e shows higher evening QF values, reflecting the hours that most people spend at home, rather than at their workplace. The average daytime anthropogenic heat flux is 56 W m−2, while an absolute maximum for the month was found to be over 75 W m−2. In the early nighttime hours, a relative high QF value is sustained as a result of space-cooling energy usage. Finally, in the low-density residential site (Figure 9f), anthropogenic heat emissions are significantly lower, and daytime variations are relatively small.
In Figure 10, the annual variations of citywide total QF and of its individual components are presented, relative to the built-up land area (as outlined in Figure 1). The citywide aggregated QF values vary from 7.8 to 29.6 W m−2, with an average value of 13.9 W m−2 (9 W m−2 when the total land area is considered), including both daylight and nocturnal emissions. The seasonal cycles of QFB (electricity and oil/gas) were well reproduced (Figure 10) following the varying heating and cooling demands; interestingly, QFB for the cold period is vastly higher in comparison to the summer months. This finding is consistent with a recent energy consumption survey for Greek households (ELSTAT) [129] and can be attributed to the poor construction standards and lack of insulation for a large proportion of buildings in Athens, a potential relative higher tolerance of the population to warmer than colder conditions, and furthermore, the lower number of city dwellers in July and August, as a result of summer holidays.
Then, PCA was applied to the images of the four examined thermal parameters (H/W, βm, ΔQsm, and QF) (Figure 6); the obtained results of the analysis are shown in Table 5 and Figure 11. As can be observed, the first principal component (PC1) integrates a large amount of the spatial variation that characterizes the initial, individual variables (50.6%). Critically, PC1 is accompanied with positive component coefficients (scores) for all the parameters. Thus, it can be regarded as the composite image for which the pixel values correspond to the aggregated thermal effect of the heat-related parameters, while preserving the maximum possible proportion of the total variance in the original dataset. The degree of variation that is not feasible to be accounted through PC1 is to a significant extent expected, as the urban climate may be viewed as the mix of different thermal effects that often exhibit contrasting results. For instance, high H/W values—which are in general associated with higher thermal stress—may result in lower midday Ts values due to the shading of the buildings and the canopy surface. PC2 contains a considerable amount of variance (23.7%); however, it can be directly linked to more specific cases areas that can be distinguished from a microclimatic point of view. Specifically, PC2 is mainly associated with regions characterized by the contrasting combination of high ΔQsm estimates and low H/W values, as it can be inferred from the high values and opposite signs of component scores for the two parameters in Table 5 and from the patterns in Figure 11b. This situation coincides with city areas of high impervious ground fraction (λi) (primarily light industrial and port areas) that tend to have lower reflectance and high OHM coefficients (see Table 1). In addition, PC2 is considered to be directly affected by a limitation of the OHM scheme, which tends to overestimate the net heat storage from impervious ground surfaces in comparison with high-rise buildings configurations [130]. Finally, the strong heat storage release in the PC2 hot spots is expected to have less influence on the UHI intensity, as low H/W values will result in higher cooling rates. Likewise, as indicated from Table 5 and Figure 11, PC3 and PC4 correspond to particular cases of high βm and QF estimates. However, the amount of explained variance for these components is lower, and furthermore, the corresponding parameters have already been, to a great extent, incorporated in PC1.
Considering the above, it was determined to associate UHeatEx only with the first principal component (PC1). This decision is further justified considering that employing a different weighting technique—e.g., equal weights or assignment of weights through expert opinion—would lead to even lower explained variance, since PC1 corresponds by definition to the linear combination that accounts for the largest amount of variability. Nevertheless, in case where there is differentiation with respect to the sign of component scores for PC1, either both PC1 and PC2 should be regarded as UHeatEx, or an alternative weighting procedure may be followed for the four components (H/W, βm, ΔQsm, and QF). Furthermore, as UHeatEx is a physically based indicator, it is suggested that these four initial parameters should be presented alongside the indicator. In this way, the distinct features of the urban form and function can be identified for different regions, thus enabling the identification of tailor-made climate adaptation responses. The final results for UHeatEx—after being normalized to a 0 to 10 scale—are presented in Figure 12. As stated above, all the heat-related parameters exhibit positive scores for PC1 (and correspondingly UHeatEx); therefore, the scale of Figure 12 can be regarded as classes of Very Low/Low (0–4), Moderate (4–6), and High/Very High (6–10) heat exposure. The spatial distribution of UHeatEx illustrates the diversity of Athens microclimates and surface energy balance modifications. The higher UHeatEx values are found in the city center of Athens, where all the driving forces of excess urban heat have high magnitudes, in particular H/W and QF. Low thermal environmental quality is also estimated for a secondary pole of high commercial concentration northeast of the city central area, for the overbuilt residential districts at the central municipality, the city center of Piraeus, and the southwestern districts. The busiest highways are also clearly outlined, following extensive vehicular heat emissions and distinct surface cover characteristics. Northern and southeastern suburbs tend to have the lowest UHeatEx values; low magnitudes are also found in the light industrial zone, reflecting its stronger surface cooling potential, due to a high sky view factor.
The average minimum Tα (Tαmin) during the warm period (May–September) for the years 2013 to 2018 was calculated for five weather stations in the central neighborhoods of Athens (sites 07–11 in Figure 8). All the station sites correspond to the LCZ 2 class (both at 100-m and at 400-m scale); however, they differ in the derived UHeatEx scores. Tαmin was selected to be examined, as UHIUCL is predominantly a nocturnal phenomenon [43,131] due to slower cooling rates for the denser urban areas. Since long-term canopy layer temperatures for the study area were not available, measurements in the RSL were used (Section 2.3), corresponding to a combined effect of microscale and local-scale processes [89]. The results presented in Table 6 indicate that UHeatEx values follow the Tαmin measurements well, reflecting both the stored warmth during the day and the subsequent nighttime release. Especially for the northern station (Site 11), the higher amount of green space and the associated cooling effects led to significantly lower temperatures; while it belonging to the morphological type of densely built LCZs.
UHeatEx demonstrates that the urban thermal landscape of Athens is characterized by a high spatial variability, both among different districts and for nearby urban blocks. At first sight, this thermal inequity seems to be associated with the socioeconomic status of residents. Low UHeatEx values are found in the affluent north and southeastern areas and high values are found in the lower-income and medium-income west and central areas. A more clear view can be obtained by examining the relationship between the mean household income per postal code for year 2011 (Greek Ministry of Finance; http://www.gsis.gr/gsis/info/gsis_site/PublicIssue/) and the corresponding average UHeatEx values (non-residential land use zones were excluded from consideration). From Figure 13, it follows that a correlation is present between household income and UHeatEx (R2 = 0.45), albeit moderate in strength; a significant spread of the indicator values is found for medium incomes, with higher UHeatEx for the areas of central Athens.
Climate change is expected to augment the impacts of the current urban overheating. As follows from Figure 14, a positive trend of 0.24 °C per decade for the annual mean temperature and of 0.28 °C per decade for the mean temperature of summer months was found to be projected for the next 50 years in Athens, according to the multi-model mean of the EURO-CORDEX simulations.

4. Discussion

City planners and policy makers need to consider the local-scale vulnerability in climate change adaptation actions. UHeatEx provides a map-based planning tool that can help the identification of the most sensitive urban climatic areas across a city. Furthermore, the physical basis of the indicator—integrating the urban form, function, and surface energy exchanges—can assist planners in deciding appropriate, site-specific actions that can improve the urban thermal environment. Generally, UHeatEx (Figure 12) better presents the urban inner spatial heterogeneity of Athens compared to the LCZ mapping (Figure 5)—it highlights the city-specific characteristics of urban form and allows a physical explanation of the derived values. This was also demonstrated by examining the Tαmin of five LCZ 2 stations (Table 6); UHeatEx managed, to a great extent, to match the thermal variability of these cases. Further validation of the indicator is planned for future research, focusing on Tα measurements inside the UCL.
In the literature, several studies have modeled the urban energy fluxes using a remotely-sensed approach [66,67,68,132,133,134,135,136,137,138]; however, only few of them made synchronous measurements of the turbulent fluxes available for validation purposes. Here, the obtained accuracy is considered to be consistent with the reported errors in recent studies of long-term, remotely-sensed turbulent fluxes [68,81,86]. Furthermore, the present work extends the current knowledge of the applicability of the downscaled satellite Ts in the urban QH estimation, which to the authors’ knowledge has only be examined in [68]. Downscaled thermal data are necessary in the estimation of high-resolution daily fluxes, due to the trade-off between spatial and temporal resolutions of current thermal imagery [139].
High anthropogenic heat emissions were obtained for the city center of Athens (∼100 W m−2 at summer midday, with local peaks up to 185 W m−2) and the major highways. On the other hand, the average QF for the greater urban area of the city was considerably lower (city-scale average magnitude under 30 W m−2 for all dates), which was mostly due to the reduced anthropogenic heat emissions in areas that were at a great distance from the city center. These findings confirm the importance of scale in the anthropogenic heat emissions estimation [97,98] and follow the general premise of [140], which concludes that values in the central city areas can be up to 5–10 times higher than the citywide values. A typical example of the QF scale and temporal dependence is the case of the city Tokyo, where in [141], a significantly high daytime anthropogenic heat flux value—over 400 W m−2—was derived on several 25 m × 25 m grid cells in central areas, whereas for the greater Tokyo urban area, average QF values in the range of 20 to 40 W m−2 were later estimated [99,142]. The relatively low average city-scale anthropogenic flux that was found in this study for Athens (annual average of 14 W m−2) is in agreement with reported QF aggregates for a few metropolitan areas worldwide: for instance, 13.2 W m−2 in Istanbul [118], 10.9 W m−2 for London [103], 6.2 W m−2 in Manchester [102], and 16.8 W m−2 in Mexico City [118].
As shown from Figure 13, UHeatEx displayed a moderate correlation with household income. The distribution of the indicator can be interpreted by considering the main aspects of post-war urban development and spatial socioeconomic segregation in Athens. In the 1950s–1970s, the at the time affluent center was massively built through a flats-for-land system [143] that led to the unregulated replacement of low-rise housing stock with multi-story apartments [144] for relative narrow streets—i.e., forming urban canyons of high H/W. The working class dwelled in lower height, often initially informal, settlements at the western periphery of the agglomeration [145,146]. As a result, these western areas, especially in the northwestern districts, have lower building density, H/W, and anthropogenic heat emissions (QF). The deterioration of living conditions in the central areas due to overbuilding—including overheating, as demonstrated by UHeatEx—led to a portion of the middle and higher social classes gradually relocating to the vegetated northern and southeastern suburbs [147], with the exception of the residents of some historically important central neighborhoods. In the 1990s, the majority of the arriving immigrants settled around the city center, where they mixed with the remaining lower and middle-class residents [48]. Considering the above, it follows that the east–west social segregation of Athens [148,149] is less pronounced in terms of unequally distributed extra warmth; however, an income-based stratification of the thermal environmental quality is generally present in the agglomeration. The synergy of the UHI and the global climate change (Figure 14) will further exacerbate the existing overheating hazards in Athens. Increased energy for cooling is expected to outweigh the decreased heating consumption for Greece [150,151] and exert additional stress on current UHI health implications in Athens [152].

5. Conclusions

In this study, a new approach for the development of urban thermal indicators was followed, proposing a physical-based composite indicator (UHeatEx). Four parameters representing the predominant driving forces of the UHI (H/W, β = QH/QE, ΔQs, and QF) were calculated using Earth observation and GIS techniques, in conjunction with meteorological and authoritative data; these individual components were subsequently integrated via PCA to UHeatEx. The central areas of Athens were found to be characterized by particularly high H/W values (often larger than 2.5), arising mainly from the exceptionally narrow canyons of the area. The partitioning between the turbulent fluxes (i.e., the parameter β) was observed to exhibit large spatial variation; QE was significantly limited by low vegetation fraction in the southwestern suburbs, resulting in midday Bowen ratio estimates over 20. Downscaled remotely sensed surface temperatures demonstrated an overall adequate performance in the calculation of the turbulent fluxes, although existing uncertainties require further future investigation. The anthropogenic heat emissions proved to a large extent to be a localized phenomenon. The aggregated QF values for the total urban area were relative low; however, considerably anthropogenic heat releases were estimated for the city center of Athens (QF surpassing 100 W m−2 in summer months) and the major highways of the region. UHeatEx successfully described the heterogeneous thermal landscape of Athens, better reflecting the city-specific characteristics and heat-stress challenges in comparison to the LCZ scheme. Athens was found to be characterized by a large variability in terms of vulnerability to UHI and climate change. This uneven distribution of overheating was demonstrated to have a moderate correlation to social differentiation and be a product of the urban development practices of previous decades. UHeatEx can be an essential component of current sustainable urban planning, since it considers the city as a three-dimensional dynamic system, in interaction with human activities under a warming climate.

Author Contributions

All the authors conceived and designed the study. I.A. performed the implementation of the methodology, including the validation of results and the preparation of the figures. All the authors contributed to the interpretation of the results and the writing of the manuscript.

Funding

This research is co-financed by Greece and the European Union (European Social Fund- ESF)through the Operational Programme «Human Resources Development, Education and Lifelong Learning» in the context of the project “Strengthening Human Resources Research Potential via Doctorate Research” (MIS-5000432), implemented by the State Scholarships Foundation (ΙΚΥ).

Acknowledgments

The authors are thankful to the Hellenic Cadastre for providing the digital elevation models, to the Hellenic Statistical Authority for the cartographic data, to the Hellenic Electricity Distribution Network Operator for the electricity consumption data, to the Athens Traffic Management Centre for the road traffic data, and to the European Space Agency for providing access to the Thermopolis 2009 Campaign dataset. The National Observatory of Athens is acknowledged for proving online access to the meteorological data. Thanks are due to Nektarios Chrysoulakis for offering helpful advice on the early stages of the manuscript.

Conflicts of Interest

The authors declare no conflict of interest.

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Figure 1. Location of the study area: Athens, Greece; land use information from Urban Atlas [54].
Figure 1. Location of the study area: Athens, Greece; land use information from Urban Atlas [54].
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Figure 2. Canyon aspect ratio, height to street width (H/W) estimation: (a) raster layer of height [m] of the urban elements at 0.8-m resolution, red lines indicate the building footprints, (b) mean height [m] of each convex side enclosing buildings and (c) H/W of each road segment.
Figure 2. Canyon aspect ratio, height to street width (H/W) estimation: (a) raster layer of height [m] of the urban elements at 0.8-m resolution, red lines indicate the building footprints, (b) mean height [m] of each convex side enclosing buildings and (c) H/W of each road segment.
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Figure 3. (a) Temperature response function for Athens, modified after [106]; (b) Diurnal scaling factors for electricity consumption per sector (average annual values).
Figure 3. (a) Temperature response function for Athens, modified after [106]; (b) Diurnal scaling factors for electricity consumption per sector (average annual values).
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Figure 4. Flowchart of the methodology for the estimation of the Urban Heat Exposure (UHeatEx) indicator. All the notations are given in the text.
Figure 4. Flowchart of the methodology for the estimation of the Urban Heat Exposure (UHeatEx) indicator. All the notations are given in the text.
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Figure 5. Spatial distribution of local climate zones (LCZs) for Athens at 400-meter resolution.
Figure 5. Spatial distribution of local climate zones (LCZs) for Athens at 400-meter resolution.
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Figure 6. Spatial distribution at 100-meter resolution of: (a) the canyon aspect ratio (H/W), (b) the midday Bowen ratio (βm) for July 2017, (c) the midday net storage heat flux (ΔQsm) for July 2017, and (d) the mean daily anthropogenic heat flux (QF) for July 2012.
Figure 6. Spatial distribution at 100-meter resolution of: (a) the canyon aspect ratio (H/W), (b) the midday Bowen ratio (βm) for July 2017, (c) the midday net storage heat flux (ΔQsm) for July 2017, and (d) the mean daily anthropogenic heat flux (QF) for July 2012.
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Figure 7. Comparison of modeled and measured turbulent fluxes: (a) QH and (b) QE for the available synchronous dates in July 2009.
Figure 7. Comparison of modeled and measured turbulent fluxes: (a) QH and (b) QE for the available synchronous dates in July 2009.
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Figure 8. Location map of specific study sites within the urban area of Athens. Base map: Landsat 8 true colour (red–green–blue, RGB) composite image (overpass: 28 June 2017).
Figure 8. Location map of specific study sites within the urban area of Athens. Base map: Landsat 8 true colour (red–green–blue, RGB) composite image (overpass: 28 June 2017).
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Figure 9. Temporal profiles of the median hourly total QF for July 2012 for six selected sites in the study area: (a) the city center (Athens Commercial Triangle), (b) a commercial site of peak emissions (Omonoia Square), (c) the site of the Thermopolis campaign (Patission Street), (d) a high-traffic site (Kifissou Avenue), (e) a typical high-density residential site (Zografou), and (f) a typical low-density residential site (Vrilissia). Note that the QF y-axis differs among graphs.
Figure 9. Temporal profiles of the median hourly total QF for July 2012 for six selected sites in the study area: (a) the city center (Athens Commercial Triangle), (b) a commercial site of peak emissions (Omonoia Square), (c) the site of the Thermopolis campaign (Patission Street), (d) a high-traffic site (Kifissou Avenue), (e) a typical high-density residential site (Zografou), and (f) a typical low-density residential site (Vrilissia). Note that the QF y-axis differs among graphs.
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Figure 10. Annual variation of total QF and individual QF components in the Athens agglomeration (average city-scale magnitude for the built-up area of Figure 1) for 2012.
Figure 10. Annual variation of total QF and individual QF components in the Athens agglomeration (average city-scale magnitude for the built-up area of Figure 1) for 2012.
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Figure 11. Results of the principal components (PC) analysis: (a) PC1, (b) PC2, (c) PC3, and (d) PC4.
Figure 11. Results of the principal components (PC) analysis: (a) PC1, (b) PC2, (c) PC3, and (d) PC4.
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Figure 12. Spatial distribution of the UHeatEx indicator for Athens at 100-meter resolution; scale varying from low (0) to high (10) thermal environmental quality.
Figure 12. Spatial distribution of the UHeatEx indicator for Athens at 100-meter resolution; scale varying from low (0) to high (10) thermal environmental quality.
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Figure 13. The relationship between the household income and the UHeatEx indicator per postal code in Athens.
Figure 13. The relationship between the household income and the UHeatEx indicator per postal code in Athens.
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Figure 14. Projected near-surface air temperatures for Athens, using the multi-model mean of the EURO-CORDEX ensemble simulations for 2020–2070; shading indicates ±1 standard deviation.
Figure 14. Projected near-surface air temperatures for Athens, using the multi-model mean of the EURO-CORDEX ensemble simulations for 2020–2070; shading indicates ±1 standard deviation.
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Table 1. The coefficients for the individual surfaces used in the Objective Hysteresis Model (OHM).
Table 1. The coefficients for the individual surfaces used in the Objective Hysteresis Model (OHM).
Surface Typea1a2 [h]a3 [W m−2]Source
Rooftop0.410.50–27.7[90,91]
Paved0.640.32–43.6[92]
Canyon0.510.02–33.7[90,93]
Vegetation0.320.54–27.4[94]
Bare soil0.350.43–36.5[95]
Table 2. Annual average daily traffic (AADT) values assignment per road type (per direction).
Table 2. Annual average daily traffic (AADT) values assignment per road type (per direction).
Road ClassificationAADT
Primary15,000 1
Secondary8000
Tertiary A4000
Tertiary B2500
Residential800
1 All roads with a larger AADT were given a specific value based on available traffic flow measurements.
Table 3. Overview of the European Coordinated Regional Downscaling Experiment (EURO-CORDEX) simulations (EUR-11) used in this study. GCM: global climate model, RCM: regional climate model.
Table 3. Overview of the European Coordinated Regional Downscaling Experiment (EURO-CORDEX) simulations (EUR-11) used in this study. GCM: global climate model, RCM: regional climate model.
SimulationRCMDriving GCM
1CLMcom.ICHEC-EC-EARTHCLMEC-EARTH
2CLMcom.MOHC-HadGEM2-ESCLMHadGEM2-ES
3CLMcom.MPI-M-MPI-ESM-LRCLMMPI-ESM-LR
4CLMcom.CNRM-CERFACS-CNRM-CM5CLMCNRM-CM5
5DMI.ICHEC-EC-EARTHHIRHAM5EC-EARTH
6DMI.NCC-NorESM1-MHIRHAM5NorESM1-M
7KNMI.ICHEC-EC-EARTHRACMO22EEC-EARTH
8KNMI.MOHC-HadGEM2-ESRACMO22EHadGEM2-ES
9SMHI.CNRM-CERFACS-CNRM-CM5RCA4CNRM-CM5
10SMHI.ICHEC-EC-EARTHRCA4EC-EARTH
11SMHI.IPSL-IPSL-CM5A-MRRCA4CM5A-MR
12SMHI.MOHC-HadGEM2-ESRCA4HadGEM2-ES
13SMHI.MPI-M-MPI-ESM-LRRCA4MPI-ESM-LR
14MPI-CSC.MPI-M-MPI-ESM-LRREMOMPI-ESM-LR
Table 4. Sensitivity analysis for the modeled turbulent fluxes and the derived Bowen ratio using the aerodynamic resistance methodology for July 2009. See text for symbol definitions.
Table 4. Sensitivity analysis for the modeled turbulent fluxes and the derived Bowen ratio using the aerodynamic resistance methodology for July 2009. See text for symbol definitions.
│ΔQH│ΔQΕ│Δβ│
(TsTα) ± 2 Κ∼18.5%∼18.5%
u* ± 10%∼7.5%∼2%∼5.5%
z0 ± 10%∼1%∼0.5%∼1%
zd ± 10%∼2.5%∼1%∼2%
(qs—q) ± 10%∼10%∼10%
rsmin ± 10%∼7%∼7%
L ± 10%∼1%∼0.5%∼1%
Table 5. Results of the principal components (PC) coefficients.
Table 5. Results of the principal components (PC) coefficients.
Principal Components 1H/WβmΔQsmQF
PC10.5240.4760.3810.594
PC2–0.5590.2750.753–0.210
PC3–0.0820.834–0.451–0.305
PC4–0.6370.042–0.2890.713
1 Percentage of explained total variance: PC1 = 50.6%, PC2 = 23.7%, PC3 = 16.8%, PC4 = 8.7%.
Table 6. Comparison of the average minimum air temperature (Tαmin) at five compact mid-rise (LCZ 2) sites in Athens, for 2013–2018 (May–September). Site ID refers to site codes of Figure 8.
Table 6. Comparison of the average minimum air temperature (Tαmin) at five compact mid-rise (LCZ 2) sites in Athens, for 2013–2018 (May–September). Site ID refers to site codes of Figure 8.
NameSite IDLocation (W,N)Elevation (m)UHeatExTαmin (°C)
Neos Kosmos0723°43′57″, 37°57′32″856.323.2
Ampelokipoi0823°45′30″, 37°58′54″1365.522.5
Nea Smyrni0923°43′10″, 37°57′5″514.023.0
Patissia1023°43′47″, 38°1′19″903.422.3
Maroussi1123°48′36″, 38°2′54″2352.620.9

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Agathangelidis, I.; Cartalis, C.; Santamouris, M. Integrating Urban Form, Function, and Energy Fluxes in a Heat Exposure Indicator in View of Intra-Urban Heat Island Assessment and Climate Change Adaptation. Climate 2019, 7, 75. https://doi.org/10.3390/cli7060075

AMA Style

Agathangelidis I, Cartalis C, Santamouris M. Integrating Urban Form, Function, and Energy Fluxes in a Heat Exposure Indicator in View of Intra-Urban Heat Island Assessment and Climate Change Adaptation. Climate. 2019; 7(6):75. https://doi.org/10.3390/cli7060075

Chicago/Turabian Style

Agathangelidis, Ilias, Constantinos Cartalis, and Mat Santamouris. 2019. "Integrating Urban Form, Function, and Energy Fluxes in a Heat Exposure Indicator in View of Intra-Urban Heat Island Assessment and Climate Change Adaptation" Climate 7, no. 6: 75. https://doi.org/10.3390/cli7060075

APA Style

Agathangelidis, I., Cartalis, C., & Santamouris, M. (2019). Integrating Urban Form, Function, and Energy Fluxes in a Heat Exposure Indicator in View of Intra-Urban Heat Island Assessment and Climate Change Adaptation. Climate, 7(6), 75. https://doi.org/10.3390/cli7060075

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