2.1. Site
Located on the western coast of Portugal at 38°42′ N and 9°8′ W, Lisbon has a KG classification of ‘
Csa’, which constitutes a Mediterranean climate with dry and hot summers [
32]. Accordingly, and as identified by studies conducted by Miranda [
33] and Calheiros [
34], the urban microclimatic conditions present annual periods in which outdoor thermal comfort thresholds can be strained as a result of numerous of climatic occurrences, namely (i) between 10 and 20 days where daily maximum T
amb surpasses 35 °C; (ii) an occurrence of between 100 and 120 ‘summer days’ where daily maximum T
amb exceeds 25 °C; and additionally (iii) frequent occurrences of heat waves, where daily maximum T
amb exceeds that of 32 °C for various periods of successive days.
As identified in the study conducted by Alcoforado, Andrade [
1], both North and Northwest wind directions are the most common throughout the year, particularly during the summer. This being said, due to the proximity to the Tagus, Lopes [
35] identified that estuarine breezes reach adjacent urban areas on 30% of the late mornings and early afternoons during the summer. This study focuses predominantly upon the historical quarter of ‘Baixa Chiado’, which due to its general morphological composition has been identified to frequently witness the highest UHI intensities [
2] and highest temperatures during the summer [
6].
2.2. Data
To retrieve the base climatic data for the study, meteorological recordings were attained from the World Meteorological Organisation weather station with the Index N°08535, located within Lisbon with the latitude of 38°43′ N, 9°9′ W, and an altitude of 77 m. As with similar existing studies [
1,
19,
25,
31,
36,
37,
38,
39], the extracted data was converted into a variation of the thermo-physiological index, physiologically equivalent temperature (PET) [
40,
41,
42]. The respective index was used due to the (i) feasibility of being calibrated upon easily obtainable microclimatic parameters; and (ii) base measuring unit being °C, which facilitates its comprehension by professionals such as urban planners and designers when approaching climatological facets.
Before considering the influences of UCCs and vegetation, an initial analysis was established to determine general diurnal thermal conditions during different climatological circumstances, i.e., during the summer and winter within the city (
Table 1). Such an approach enabled a ‘base understanding’ of Lisbon’s thermo-physiological conditions as presented by the weather station.
In order to carry out this initial assessment, the RayMan Pro
© model [
43,
44] was used to process the following retrieved parameters: T
amb, relative humidity (RH), total cloud oktas (Okt), and V
10. In addition to these climatological aspects, the calibration of the RayMan model was constructed upon the default standing ‘standardised man’; i.e., a height of 1.75 m, weight of 75 kg, aged 35, with a clothing 0.9 clo, and an internal heat production of 80 w [
40,
41]. In order to account for the deceleration effect of ‘urban roughness’ upon wind speeds obtained from the meteorological station [
45], the values were adapted to permit the estimation of V values upon the gravity centre of the human body. As a result, V
10 values were interpreted to a height of 1.1 m (henceforth expressed as V
1.1) by using the formula presented by Kuttler [
46] (Equation (1)). Given Lisbon’s denser downtown district with frequent open spaces, and similar to the morphological layout/compositions examined within comparable bioclimatic studies in Barcelona [
38] and within the historical district of Lisbon [
27], the study applied the following calibrations to the formula:
z0 = 1.00 m, and α = 0.35.
where
Vh is the m/s at a height of
h (10 m), α is an empirical exponent, depending upon urban surface roughness, and
z0 is the corresponding roughness length.
At a later stage in the study, another variable tuning was considered when addressing the ‘in-situ’ effects of vegetation upon pedestrian comfort as a result of evapotranspiration. As identified by the early studies of Oke [
47], McPherson [
48], and Brown and Gillespie [
49], T
amb and RH are usually not meaningfully modified by landscape elements such as trees since the encircling atmosphere quickly dissipates any such in-situ oscillations. Such results were also obtained by later studies [
19,
50,
51,
52,
53] who identified such limitations resulting from evapotranspiration effects, particularly from single trees. Moreover, such outcomes were also obtained by a recent study conducted within one of the widest public spaces located in Lisbon’s historical centre. Carried out in July 2015, and as shown in
Figure 1 the limited effects of evapotranspiration beneath the crown were also verified.
As a result, the lower impact that evapotranspiration could generate upon comfort conditions at pedestrian height was not considered in this particularly study. Instead, the assessments were predominantly based upon evaluating the in-sit’ impacts of a specific tree species beneath its crown, or in other words “the cool feeling people experience as a result of a reduction in radiation” [
15]. Although such information has grown in recent years (as exemplified by numerous studies mentioned in this study), the authors argue that there is still a need to build upon estimations of radiation modifications as a result of vegetative deflection as suggested by Brown and Cherkezoff [
55]. As a result, such outputs should continue to build upon the growing comprehension of vegetation influences upon microclimatic characteristics at the pedestrian level [
56].
Therefore, supplementary data modifications/calibrations were applied to assess the specific thermo-physiological in-situ effects of
Tipuana tipu upon pedestrian comfort levels. In addition to the preliminary climatic variables, global radiation (G
rad) retrieved by the authors were used to supplement the radiation flux assessments. These values were obtained through field surveys through the use of the handheld apparatus KKMOON SM206, with an accuracy of ±10 and a resolution of 0.1 W/m
2. Similar to the approach carried out by Nouri and Costa [
54], such measurements were established to obtain hourly oscillations of G
rad (i) in specific locations of different UCCs; and (ii) beneath vegetative canopies to identify the amount radiation that was diluted by the vegetative crown mass. Such an approach enabled solar attenuation radiation levels to be determined specifically beneath the tree crowns, and later introduced within the biometeorological model.
2.3. Applied Methodology and Structure
The modelling, refinement, and representation of the UCC assessments were processed through a three-step approach. Firstly, a new version of the SkyHelios model
(i) [
29] was used in order to assess the microclimatic conditions and implications upon the introduced parameters with respect to the urban morphologies. As presented by Fröhlich [
30], the model has been developed to analyse the spatial dimension of a specific microclimate. The short runtime and wide range of support input formats, as well as the capability of dealing with different projected coordinate systems permit the applicability of the model to evaluate the comparison of different UCCs, tree compositions and their effect on thermal biometeorology. In processing terms, the new SkyHelios model essentially follows a similar approach to that of the Rayman model, but it has the additional feature of also considering the spatial dimension of the parameters. As a result, SkyHelios makes use of the graphic processor for computing the sky view factor (SVF) [
29]. Based upon the SVF, the radiation fluxes can be determined for any location within the respective model area, and summarised as mean radiant temperature (T
mrt). As defined by Oke [
47], the SVF is the fraction of the visible sky seen from a specified point. Within the software module, the first operation is the rendering of a fisheye image for that stipulated location, and secondly, the SVF is determined by distinguishing transparent and coloured pixels within the generated image. Similar to real environments, the fisheye image is a half-sphere, and not all of the pixels should have the same influence upon SVF. Therefore, a dimensionless weighting factor represented as
ωproj (Equation (2)) is utilised to consider the projections that adjusts the impact of a pixel by the sine of the zenith angle
φ (◦).
This results in a spherical SVF, whereby if a planner SVF is desired, another correction by
ωplanar (again dimensionless) needs to be performed (Equation (3)). Such a modification increases the impact of objects close to the ground by the cosine of the azimuth angle (counted from the ground to the top).
Furthermore, a three-dimensional diagnostic wind model was integrated within the updated version in order to provide estimations of ‘in-situ’ V measurements, which as discussed can differ significantly from those presented by the meteorological station. Such a model was based upon the approach conducted by Röckle [
57], but, and as discussed by Fröhlich [
30], with updated parameterizations, namely (i) an improved upwind cavity as discussed in Bagal, Pardyjak [
58]; and (ii) an improved description of street canyon vortices as described in Singh, Hansen [
59]. As a result, the SkyHelios model enables the identification of spatially-resolved V and associated direction. The wind field calculated by the given functions most likely contains a certain degree of divergence. Assuming incompressible air, such a divergence has to be minimized in order to get a valid wind field. In mathematical terms, this is performed by minimizing the functional for the scalar
H (Equation (4)).
As shown in Equation (4)
bh and
bv are horizontal stability factors in s/m;
u,
v and
w are the stream components in m/s,
u0,
v0 and
w0 are representative of the initial stream components in m/s while
dx,
dy and
dz are the grid spacing in metres. Due to this integration, the model is capable of estimating thermal indices Perceived Temperature (PT) [
60], Universal Thermal Comfort Index (UTCI) [
61], and PET that are spatially resolved at high resolutions (e.g., 1 × 1 m).
The second step was orientated at processing the results through the updated version of the RayMan model
(ii) in order to interpret them into the modified physiologically equivalent temperature (mPET) as discussed in Chen and Matzarakis [
31]. As presented in their study, the predominant differences of the mPET index are the integrated thermoregulation model (based upon a multiple-segment model), and the clothing model which relays a more accurate analysis of the human bio-heat transfer mechanism. For this reason, the initial examination of the diurnal conditions both during the summer and winter conditions were thus presented in both PET and mPET; to firstly examine such differences identified by Chen and Matzarakis [
31], and secondly, present more accurate evaluations of the human thermal comfort conditions examined later in the study.
The third step of the study was to ensure that the study outputs were communicated in a way to facilitate their comprehension by non-experts in the subjects linked to climatology. As a result, the obtained results were processed with the climate tourism/transfer information scheme
(iii) (CTIS) [
62]. Such means of communication have been growing within the scientific community in similar climatic studies [
31,
38,
63,
64,
65].
2.3.1. Identification of Bioclimatic Conditions During Summer/Winter Periods
As discussed, the first stage was to identify the general bioclimatic conditions (i.e., PET and mPET values) retrieved from the specified weather station. As a result of this exercise, not only was it possible to identify how physiological stress (PS) grades vary during different times of the year, but moreover to identify the days on which the simulations would be based. Based upon the configuration of the meteorological station, since the total Okt values were only recorded at 09:00, 12:00, and 15:00, it was necessary to approximate values for the remaining hours between 09:00 and 18:00. Such an approximation was undertaken by (i) the delineation of the mid-range values between the three daily recordings; and, in addition, (ii) taking into account the qualitative meteorological descriptions provided by the station. Such inputs were accompanied by the introduced T
amb, RH, and V
1.1 diurnal recordings for the months of July and December, each representative of the hottest and coldest annual conditions for 2016 found in Lisbon (
Table 1). Furthermore, and at this stage of the study, the applied SVF value was calibrated at 1.00 (or 100%) which would reproduce an assessment with total exposure to solar radiation. Once the PET and mPET values were processed, the comparative chart presented by Matzarakis, Mayer [
42] was used in order to categorise the obtained temperature values into specific PS levels, shown in
Table 2.
Once the boundaries for each temperature range were stipulated, it was possible to input such margins into CTIS to facilitate the representation of the diurnal modifications of PS during the months of July and December. Such methods of representation have already been used in similar bioclimatic studies [
31,
38,
63,
64,
65] which also aimed at facilitating the comprehension of the obtained thermo-physiological results.
2.3.2. Defining Tipuana tipu Characteristics and Layout
The
Tipuana tipu species originates from the region adjacent to the Tipuani River in Bolivia, and is also known for its lineages from both Brazil and Argentina. Given the right conditions, the species can reach considerable sizes, and presents a dark trunk, twisted branches, and a densely vegetated round crown. Resulting from the ‘
Csa’ climate, the equally ornamental and rustic species are particularly compatible with Lisbon’s climate. Consequently, they are one of the most commonly used deciduous species [
67], with approximately 1900 examples within the city [
68,
69]. In a few locations, a particular few have been listed as ‘public interest’ due to their considerable age and size as exemplified in ‘Cais Sodré’, ‘São Bento’ Plaza, and the ‘Nove de Abril’ Park, registering ages of 100, 80, and 128, respectively. Recognised as an effective urban shading tree specifically within Mediterranean climates [
17,
54,
67,
69,
70,
71,
72] it is also frequently mixed with other species within Lisbon. Such circumstances can be exemplified by a mixture with other identified ‘shading trees’ such as
Jacaranda mimosifolia within the urban garden of ‘Santos’ and the public plaza of ‘Rossio’ within the historical quarter.
The example of the latter is illustrated in
Figure 2A, which shows a lined sidewalk seating area beneath the vegetative crowns of a linear plantation of
Tipuana tipu with a parallel row of
Jacaranda mimosifolia on the edge of the sidewalk. Common to sidewalk plantation typologies as identified by Torre [
70], the linear plantation configuration has been identified to effectively attenuate (i) radiation, especially when the tree lines are parallel/close to a building frontage [
48,
49,
73,
74]; and (ii) wind patterns that take place perpendicularly to the tree line [
70,
72,
75].
Within urban pavements, the species often present smaller sizes [
17,
67,
72,
76] which is often due to inferior soil conditions and embedding methods. Illustrated in
Figure 2B, and based upon the aforementioned studies, the dimension of the trees used within the study were calibrated with a height (h) of 12.5 m, vegetative crown radius (r) of 5.0/6.5 m, trunk length (l) of 3 m, and a trunk diameter (d) of 0.55 m. Furthermore, since G
rad values were measured beneath the crowns, parameters such as leaf area index and leaf angle distribution were not required to determine the vegetative density/transmissivity of the tree crown.
Beyond being one of the most commonly used ‘shading’ tree species, and unlike most deciduous species, it also has the particularity of maintaining its foliation both during the summer and winter period. As demonstrated in
Figure 2C, and as identified by Viñas, Solanich [
72] within the Iberian Peninsula, the only period in which the
Tipuana tipu loses its leaves is during the early spring. Accordingly, and given the permanency of its vegetative crown during the winter, it was also possible to assess how the vegetative crown would influence ‘in-situ’ thermal conditions during colder conditions. As identified by early studies [
15,
49,
55,
77], it was possible to examine the consequences of reductions of radiation fluxes during the winter; a known essential microclimatic variable with both physiological and psychological connotations to counteract colder conditions during the winter in outdoor urban public spaces [
78].
2.3.3. Application and Construction of the SkyHelios Simulations
Within the ‘Obstacle’ plugin associated with both the RayMan and the SkyHelios models, various morphological compositions were constructed. Based upon modifying one of the characteristics of the canyons, it was possible to obtain dissimilar height-to-width (HW) ratios which were the most commonly found within Lisbon’s historical district. Accordingly, the canyon height was maintained at 20 m (equating roughly to a building of five stories), and the canyon widths fluctuated between 10, 20, 40, and 120 metres to obtain ‘very high’, ‘high’, ‘medium’, and ‘very low’ UCCs, respectively. Although focused upon a larger scale, a similar approach was applied by Norton, Coutts [
79], who categorised broad priority requirements for green infrastructure within different urban canyons. Previously, an UCC with a description of ‘low’ was also initially considered for the study. Such a canyon presented a canyon width of 80 m, and a HW ratio of 0.25, yet based upon a previous study conducted by the authors, it was identified that it presented almost identical thermal conditions to the 0.17 ratio. As the latter presented greater dissimilarities to the higher 0.50 ratio, it was decided to focus upon the four identified UCCs within this specific study as presented in
Table 3.
In accordance with the proportional and rigid morphological composition succeeding the reconstruction of Lisbon’s historical district following the great earthquake of 1755, all modelled canyons were symmetrically configured. Although such an approach is frequently ‘presumed’ when approaching H/W ratios, recent microscale bioclimatic studies [
23,
26] have also produced important results in asymmetrical canyons whilst also addressing urban thermal comfort conditions.
Through the use of the SkyHelios model, the HW
2.00, HW
1.00, HW
0.50, and HW
0.17 were processed under two conditions: (i) without the presence of vegetation; and (ii) with the presence of vegetation. In addition, each canyon was aligned into a north-to-south orientation (NSO) and a west-to-east orientation (WEO) in order to assess the influence of the geo-referenced summer/winter sun path upon the two alignments. The layout of the NSO simulations with the presence of the
Tipuana tipu is represented in
Figure 3 indicates how, depending upon the UCCs, the tree layouts were structured within each undertaken assessment. Such an adjustment was based upon maintaining a similar amount of vegetative coverage ratio (VCR) throughout the width of each UCC. Within this study, such an indicative value was obtained by applying the straightforward formula as shown in Equation (5).
where
W is the width of the aspect ratio,
CS is the crown spread,
n is the number of trees, and
r is the radius (5, 6.5).
Although the VCR was based upon determining the amount of vegetation against the width of the canyons, comparable ratios were also utilised within similar studies [
17,
56,
80] who quantified the amount of vegetative biomass within an entire outdoor area. Based upon the discussed parameters in
Figure 2B, the dimensions of the introduced trees were calibrated with a diameter of 13 m, with the exception for HW
2.00, which accommodated trees with a lower diameter of 10 m. Such a reduction was undertaken to account for the shorter width of the street, whilst respecting the smaller, yet feasible dimensions of the
Tipuana tipu.
As presented within the study conducted by Lin, Tsai [
81], the calculation of SVF within this study was based upon the classic single-point SVF within a specific location in the canyon to obtain a fisheye image at a calibrated height of 1.1 m. Similar to an approach applied by Algeciras, Consuegra [
25] both the NSO and WEO accommodated three specific reference points (RPs) which were established to identify the diurnal oscillations of solar radiation. As shown in
Table 4, the RPs were attributed a specific location within the different UCCs, and their respective coordinates within the SkyHelios model are presented and discussed in
Table 5. Additionally, and even though canyon length was un-associated to the HW ratio, each was attributed a length of 200 m in order ensure that ‘edges’ of the default canyon would not meaningfully affect the obtained SVF values obtained by the SkyHelios.
Based upon the calibration of a three-dimensional diagnostic wind model integrated within the program, the last of the eight-tree line was selected to permit the identification of the influence of preceding trees in UCCs (
Figure 3). As a result, it was possible to determine how such obstacles within each canyon would influence V
1.1 once it reached each of the designated RPs. Configured within the diagnostic tool within SkyHelios (
Table 6), the initial V
1.1 values obtained through Equation (1) could be recalibrated.