2.2. Rooftop observatory
From November 2021 to March 2022, an observatory was op-
erating at the rooftop level to collect thermal images of different
buildings on a university campus in Singapore. Singapore is a
city-state in South-East Asia located near the equator. At this
location, a hot and humid climate is experienced over the year.
The air temperature varies between 26 and 30 degrees Celsius
on average every month. The monthly average humidity is also
relatively constant, with variations between 80 and 90 percent.
When not obstructed by buildings, the wind most frequently
blows at a speed between 1 and 4 meters per second from the
South-East direction.
The observatory was installed on the rooftop of a 42-meter-
tall building located in a residential area, as illustrated in Figure
1. The residential area is located in front of a university campus
consisting of office and educational buildings. Among the build-
ings, four can be observed from the observatory with a proper
resolution. Building A is one of the tallest on the university
campus. It is about 68-meter-tall with an important portion of its
fa
c¸
ade covered by curtain walls. Closer to the observatory are
Buildings B and C, which are both about 27-meter-tall. Their
fa
c¸
ade consists of concrete walls and single-pane windows. In
addition to concrete walls, the fa
c¸
ade of Building D consists of
metal grids installed on a concrete frame. Building D was de-
signed to be net-zero, and its height is around 24 meters. Around
buildings A, B, C, and D, it is possible to observe several tropical
trees from the observatory. In front of buildings B, C, and D,
there is a road with heavy traffic.
On the top of the observatory, there was a housing containing
a FLIR A300 (9Hz) thermal camera as described in Table 1.
The housing enables the thermal camera to be protected against
heavy rains with IP67 protection. It was fixed on a pan/tilt unit
in order to record thermal images at different positions. To avoid
any obstacles while recording thermal images, the pan/tilt unit,
together with the housing, including the thermal camera, was
placed on a 2-meter-high truss tower. This structure is stabilized
by concrete blocks and protected against lightning by an air
terminal. On the truss tower, two sockets were installed to power
up the thermal camera and the direct current motor of the pan/tilt
unit from a backup battery located in a water tank room. The
backup battery is continuously recharged from the electrical
source of the building so as to keep the thermal camera and
the pan/tilt unit operating for up to 2 hours in case of power
shutdown. The thermal camera and the pan/tilt unit were also
connected to a laptop for configuring and checking the collection
of thermal images.
The collection of thermal images was configured from two
separate software. One software was installed on a video encoder
to command the pan/tilt unit. From its graphical interface, it is
possible to define the positions where the pan/tilt unit must stop
to take a thermal image. The moment when a thermal image is
taken is controlled by another software installed on the laptop.
Thermal images can be saved either in JPEG or FFF file format
inside a folder to be specified in the software.
The thermal camera and the pan/tilt unit were configured so
that images can be taken at four positions, as shown in Figure
2. Position I is centered on Building A. From this position, it is
also possible to observe vegetation consisting of tropical trees
mostly. After staying at Position I for a while, the observatory
moves to Position II. This position primarily focuses on Building
B and its surrounding vegetation. A similar thermal image is
taken at Position III but centered on Building D. Finally, the
observatory stops at Position IV where various elements can be
observed, including Building D, vegetation, and a road. For each
position, thermal images are recorded at a rate of one minute
approximately. They are stored on a Google Drive repository
through a 4G Internet connection installed on the laptop.
2.3. Network of automatic weather stations
Figure 3 shows the network of weather stations that was used
to estimate heat fluxes of built up surfaces and vegetation. The
network was deployed by [
54
] in February 2019. It consists of
12 weather stations measuring the air temperature and relative
humidity. All stations, except 12, measure the wind speed and
direction. Solar radiation is measured by all stations apart from
11 and 12. Instruments to measure temperature, relative humid-
ity, wind speed/direction, and solar radiation were connected
to a data logger to make measurements every 1-minute interval.
Their specification is summarized in Table 2.
As mentioned in Section 2.1, various parameters measured
by weather stations need to be used for estimating sensible
and latent heat fluxes. For instance, sensible and latent heat
fluxes emitted by buildings and vegetation observed at Position I
was assessed from the temperature, relative humidity, and wind
speed as measured by the Weather Station 12. The latent heat
flux emitted by vegetation also depends on the solar radiation,
which was defined from measurements of the Weather Station 2.
Measurements obtained from the Weather Station 2 were used
to evaluate sensible and latent heat fluxes observed at Position
II. Heat fluxes observed at Position III and IV were estimated
from weather conditions measured by Weather Stations 3 and 5,
respectively.
2.4. Sensitivity analysis
Before assessing
Ti j
from the observatory, a sensitivity analy-
sis was conducted on parameters that might affect its variance
(see Appendix B). A parameters can be a constant or a variable.
The contribution of a parameter to the variance of
Ti j
was es-
timated from the first-order Sobol index [
55
]. The higher the
first-order index associated to a parameter is, the more
Ti j
is
sensitive to that parameter. However, the first order index does
not consider interactions that one parameter might have with
others. For this reason, the total Sobol index was also calculated
during the sensitivity analysis of Ti j.
Table 3 illustrate the parameters considered during the sensi-
tivity analysis of
Ti j
and their respective boundaries. According
to [
56
], the thermal emissivity of target object varies between 0.8
and 1.0 in the built environment. In case the emissivity is slightly
below 0.8, it was decided to calculate its sensitivity in a range
between 0.7 and 1.0. The sky temperature was measured by
[
57
] in Singapore, and varies between 11 and 33 degrees Celsius.
Based on weather data recorded by the Meteorological Service
of Singapore [
58
], the outdoor air temperature can change be-
4