2.1. Study Site and Typical Residential Area
The study site is located in Changsha, Hunan Province, China. Changsha is a typical subtropical monsoon climate zone [
39], and meanwhile belongs to the hot-summer and cold-winter zone in China’s building climate zones [
40]. The average daily air temperature from June to September can reach over 25 °C, and there are nearly 84 days with an average daily temperature greater than 30 °C. Winter is cold, and the severe cold period below 0 °C is relatively short [
41,
42]. Changsha has high humidity, with the average annual precipitation reaching 1472.9 mm. Spring is cloudy and rainy, with very heavy precipitation; summer precipitation is uneven, with stormy weather mainly concentrated from May to June; autumn has little precipitation and mostly sunny weather with suitable temperatures; and winter precipitation accounts for 16% of the year [
43].
Based on the introduction of the study site, we further analyzed the residential area. In this study, we introduced the concept of a typical residential area. It can be understood as a prototype similar to or close to most residences within a region. This is mainly in terms of spatial morphology and relevant settlement indicators. In order to understand the characteristics and indicators of Changsha’s residential spatial morphology, we selected a number of residential areas for analysis based on field research, as shown in
Figure 2. Firstly, we analyzed from the point of view of the residence plot area. Among the selected research samples, the number of residence plot area distribution of 4~4.5 hm
2 is the largest, which is 32%. Secondly, the shape of residential plots is affected by natural conditions, social and historical development, economic development mechanisms, and other factors, resulting in different plot shapes on the plane [
44]. By analyzing the aspect ratios of the plots in the sample, it can be seen that the total proportion of residential areas with aspect ratios of 0.75~1.0 and 1.0~1.5 is 72%, meaning that residential plots are mostly rectangular. Analyzed from the perspective of the orientation of residential plots, the proportion of residential plots with a declination angle of ±5.4° in the samples is 60%, indicating that the orientation of Changsha’s residential areas is primarily due south and north. The architectural layout of the residential areas in the sample mainly includes row-type, enclosed-type, and mixed-type (point-type + row-type). Among them, the proportion of row layout is 65.8%, and the proportion of enclosed layout is 7.9%. It can be seen that Changsha’s residential buildings are dominated mainly by row and column layouts. The number of floors of residential areas in the statistical samples belongs to the multi-story and high-rise category. Multi-story category I accounts for 23.7%, multi-story category II accounts for 10.5%, high-rise category I accounts for 47.4%, and high-rise category II accounts for 13.2%, of which high-rise category I (10~18 floors) accounts for the largest proportion. Additionally, the proportion of residential areas with a building density of 25% or less in the sample was 60.5%.
Based on the above analysis, we selected the Tong-tai residence in the Tian-Xin District of Changsha City, China, as the typical residential area for the measurements and simulations. The typical residential area is located in the city center of Changsha (112°58′ E, 28°11′ N, 23.5 m above sea level), Hunan, China (
Figure 2). From the aspects of spatial morphology and relevant indicators of the settlement, the land area of the residential area is about 4.43 hectares. The overall shape of the plot is regular, consisting of ten 14 floors (high-rise category I) residential buildings, with a building density of about 23.9%, and the buildings are arranged in rows and columns, facing south and north; the buildings on the north and south sides jointly enclose to form the space of the street, and the height-to-width ratio of the street is about 1.75. Concrete pavements, broadleaf trees, shrubs, and grasses are uniformly distributed in the street space, forming the lower bedding surface of the residential area. Based on the area of the residence, building layout form, building height, building density and other indicators, we believe that the Tong-tai residence is typical.
2.2. Calculation of GPR and Modeling of Six Scenarios
Green plot ratio (GPR) is a widely used indicator to quantify the three-dimensional green volume of green space. In 2003, a Singaporean scholar proposed the planning index of green plot ratio (GPR) based on the biological parameter leaf area index (LAI), defined as the average green area of a plot of land, which is the average of the green area of a site [
29]. The leaf area index (LAI) can be used to measure the structural type of green space. The higher the value of LAI, the larger the total leaf area of plants per unit area and the richer the type of vegetation structure. The concept of building plot ratio is borrowed in the evaluation of urban green space, and GPR is defined as the green plot ratio, which is the total plant leaf area per unit of land. The formulas are shown in (1) and (2). We conducted field counts of five species of trees, one shrub, and one grass that dominate the residential area, and the counts are shown in
Table 1. According to the formulas, we calculated the GPR for Tong-tai residence to be 3.43, which is close to 3.5.
where
LAI represents the sum of leaf area in a given region, and
S represents the total land area of the region.
is the number of trees (a),
is the canopy radius of trees (a), and
is the leaf area index of trees (a);
is the number of shrubs (b),
is the radius of shrubs (b), and
is the leaf area index of shrubs (b);
is the area covered by grass (c), and
is the leaf area index of grass (c).
represents the total land area of the study area.
According to the GPR formulas, we can adjust the number of plants to construct different GPR scenarios. In order to facilitate the subsequent ENVI-MET modeling, we selected the above plants as the representative plants of the plot’s greenery.
Table 2 shows the total number of trees in different GPR scenarios. In addition to trees and shrubs, we used grass as a fixed quantity. When GPR = 0, there is no vegetation on the site. The size and amount of grass are the same in the other five scenarios.
Figure 3 illustrates the six GPR scenarios established by the study. At GPR = 0, there is no vegetation in the residence. This scenario is mainly used as a comparison to analyze the cooling and thermal comfort improvement effects of greenery. The number of plants on the site gradually increased as the GPR increased to 0.5, 1.5, 2.5, 3.5, and 4.5, and the increase in plants followed a randomized layout. We chose GPR = 4.5 as the upper limit because in the actual greenery layout of residential areas, few residential areas can be planted with such a large number of plants due to economic considerations. This study focuses on the effect of varying the value of GPR between 0 and 4.5 on the thermal environment of a residential area.
2.3. Measurement and Accuracy Verification
On-site measurement is one of the essential ways to evaluate the characteristics of the thermal environment objectively, and at the same time, it is an essential basis for verifying the accuracy of numerical simulation. In the study, a typical weather day in summer was selected for the field measurement, and the air temperature (Ta), relative humidity (RH), black globe temperature (Tg), and wind speed (Va) at 1.5 m near the ground were measured by different testing instruments. Finally, the open-source software Rayman 1.2 was used to calculate the thermal comfort indicators mean radiant temperature (Tmrt) and physiological equivalent temperature (PET). The study focused on the microclimate distribution at pedestrian heights, so the experimental instruments were arranged at 1.5 m above the ground. The study area was surveyed, and the green points in
Figure 4 are DS1923 (i-Button) temperature and humidity data recorders, with a total of 10 groups; the blue points are hand-held temperature and humidity recorders, with a total of 12 groups; and the red points were Kestrel 5500 meteorological instrument, with a total of 3 groups. DS1923 (i-Button) were mainly arranged in the green group of the residential area. The Kestrel 5500 meteorological instruments were located at the entrance square on the west side of the residential area, the central square, and the first elevated floor of the residential area.
Table 3 describes the metrics associated with the measurement instruments.
The parameter settings for the study validation simulation are shown in
Table 4, including geographic location, simulation time, and meteorological parameters.
Comparing the measured and simulated values, the correlation coefficients of air temperature, mean radiant temperature, and physiological equivalent temperature were 0.833, 0.825 and 0.809, respectively (
Figure 5). Since the R
2 is closer to one, the measured data fits the simulated data better, and the measured and simulated values in the present study have an obvious correlation and a high degree of fit. It could be seen that the simulation of ENVI-MET on thermal environment parameters is effective, and its simulated values are highly fitted to the measured values.
In order to quantify the difference between the measured and simulated data, we used the root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) to evaluate the results and reflect the accuracy and applicability of the model with the following formulas. Among them, it is generally believed that the MAPE value is less than 10%, indicating that the simulation prediction accuracy is high; the smaller the values of RMSE and MAE, the higher the accuracy of the simulation results. Moreover, some scholars have found that the RMSE of ENVI-MET simulated values and measured values are approximately between 0.66 and 7.98 °C, and it is currently believed that the RMSE is approximately between 0.52 and 4.30 °C [
45], and MAE approximately between 0.27 and 3.67 °C is acceptable.
In the formula, RMSE is the root mean square error; MAE is the mean absolute error; MAPE is the mean absolute percentage error; Yobs is the measured value; Ymodel is the simulated value; m is the number of data samples; and i is the number of samples, i = 1, 2, 3 …m.
In
Table 5, root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) evaluations were performed and analyzed for air temperature, mean radiant temperature, and physiological equivalent temperature in the study area. It can be found that the RMSE, MAE, and MAPE of air temperature in the study area are 0.643, 0.484, and 1.48%, respectively; the RMSE, MAE, and MAPE of mean radiation temperature are 0.970, 0.746, and 2.32%, respectively; and the RMSE, MAE, and MAPE of physiological equivalent temperature are 1.600, 1.387, and 4.04%, respectively.
The error evaluation metrics, i.e., RMSE value, MAE value, and MAPE value, of all the above-mentioned thermal environment metrics are within the permissible range, indicating that the error between measured and simulated values in this study is small. In this study, the air temperature error is the smallest, the mean radiant temperature is the second largest, and the physiological equivalent temperature error is the last. This is related to the fact that the simulation environment established in ENVI-MET is relatively simple, and the simulation results are more ideal compared with the measured results; in the measured environment, the urban construction environment is more complicated, and the air temperature, relative humidity, wind speed, etc., are easily affected by the surrounding environment and human activities, and the calculation of the physiological equivalent temperature and the mean radiant temperature involves several microclimate parameters; in addition, the data obtained in the actual measurement are instantaneous, and the data obtained in ENVI-MET’s simulation are the most accurate. In addition, the data obtained in actual measurements are instantaneous values, while the ENVI-MET simulation environment is set to continuous values. Additionally, for this study, the authors analyzed the stability of the ENVI-MET software 5.0 to ensure the reliability of the results. Based on the existing research results and the calibration experiments in this study, it is still a reliable scientific tool to study the outdoor thermal environment in hot-summer and cold-winter zone, with good modeling accuracy. It can predict the microclimate environment of the study area.
2.4. Data Extraction Point Layout and Data Analysis
In order to comprehensively assess the impact of GPR on outdoor spaces in residential areas, the study categorizes outdoor spaces into street space, courtyard space, and building overhead space based on the function of the space. Street space includes the primary and secondary roads in the residential area, a space with obvious transportation attributes, and is divided into east–west street space and north–south street space in this study. Courtyard space includes enclosed and semi-enclosed courtyards, which are enclosed by buildings with weak openness. Building overhead space refers to the open space layer of a building that is supported only by structural columns without enclosing walls, and it is a semi-indoor, public gray space that is well connected to the outside. For the data extraction of each space, the study refers to the established methods and follows the principle of uniform layout of extraction points to ensure the science and rationality of the extracted data. The layout of data extraction points is shown in
Figure 6. Additionally, to investigate the effect of GPR on the thermal environment of the residential area further, the study will analyze the daytime and nighttime hours separately. In contrast to the daytime hours, the nighttime hours are free of solar radiation, and the ground scattering effect dominates.
The study extracted data for the air temperature and PET at the pedestrian height of 1.5 m and calculated the urban heat island intensity, which is the difference between the mean air temperature in the city center and the mean air temperature in the surrounding suburbs (countryside). Physiological equivalent temperature (PET) was chosen to quantify thermal comfort. Physiological equivalent temperature integrates air temperature, humidity, wind speed, solar radiation, clothing, and exercise. It is the most accurate and widely used, and its scientific validity has been proved by domestic and international scholars’ research [
46].