4.3. Correlation Analysis of Human-Centred Perception Evaluation and Physical Environment Data
Based on the Kendall correlation analysis method, the human-centred perception evaluation and physical environment data were analysed in the Commerical Dimension and Transportation Dimension, respectively (as shown in
Figure 3), and the results are as follows:
4.3.1. Results of Correlation Analysis under Commerical Dimension
In the Commerical Dimension, the correlation between each physical environment parameter and the human-centred perception index is as follows:
(1) Aspect Ratio:
Aspect Ratio is moderately positively correlated with Wind Strength, with a correlation coefficient of 0.171, indicating that changes in spatial ratio have a specific positive impact on wind perception in shopping spaces.
(2) Humidity:
Humidity is correlated with Good Ventilation, with a coefficient of 0.157, indicating that higher humidity can improve ventilation perception. In addition, Humidity and Wind Strength are also positively correlated, with a correlation coefficient of 0.118, indicating that humidity has a specific effect on wind perception.
(3) Illumination:
Illumination and Comfortable Lighting show a positive correlation with a coefficient of 0.178, indicating that better lighting conditions can improve visual comfort. In addition, Illumination also correlates with Security and Open indicators, with coefficients of 0.138 and 0.129, respectively, indicating that good lighting helps to enhance the sense of security and openness in space.
(4) Sound:
Sound is negatively correlated with Quiet, with a coefficient of -0.149, indicating that higher noise levels significantly reduce the perception of quietness and affect auditory comfort. In addition, Sound is also correlated with Varied, with a coefficient of 0.062.
(5) Temperature:
Temperature negatively correlates with Wind Strength, with a coefficient of -0.181, indicating that higher temperatures may reduce the perception of wind, affecting overall physical comfort. In addition, Temperature is also negatively correlated with Comfortable Lighting and Good Ventilation, with correlation coefficients of -0.170 and -0.192, respectively, indicating that higher temperatures may affect the comfort of lighting and ventilation.
(6) Wind Speed:
Wind Speed has the most significant correlation with Good Ventilation and Wind Strength, with correlation coefficients of 0.266 and 0.239, respectively. This indicates that higher wind speeds can significantly enhance the perception of ventilation and wind and improve the physical comfort of shopping spaces.
4.3.2. Correlation Analysis Results under Transport Dimension
In the Transport Dimension, the correlation between each physical environment parameter and the human-centred perception index is as follows:
(1) Aspect Ratio:
Aspect Ratio shows a positive correlation with Wind Strength, with a correlation coefficient of 0.140, indicating a specific positive correlation between changes in spatial ratio and wind perception, especially in the Transport Dimension.
(2) Humidity:
Humidity has a weaker correlation with Good Ventilation and Wind Strength, with correlation coefficients of 0.146 and 0.100, respectively. This indicates that humidity has less influence on ventilation and wind perception in transportation spaces.
(3) Illumination:
Illumination significantly affects Security and Comfortable Lighting, with correlation coefficients of 0.185 and 0.159, respectively, indicating that higher illuminance can enhance the sense of security and comfortable lighting in transportation space. At the same time, Illumination also has a positive correlation with Open and Gorgeous, with coefficients of 0.160 and 0.137, respectively, indicating that good lighting conditions enhance the sense of openness and aesthetics of the space.
(4) Sound:
Sound is negatively correlated with Quiet, with a correlation coefficient of -0.174, indicating that an increase in noise level reduces the perception of quietness in the transportation environment. In addition, Sound is also positively correlated with Varied, with a coefficient of 0.127, indicating that changes in noise have a particular impact on the auditory diversity of the traffic space.
(5) Temperature:
Temperature shows a negative correlation with Good Ventilation, with a correlation coefficient of -0.080, indicating that higher temperatures also reduce the perceived comfort of ventilation in the transportation space. In addition, Temperature also has a negative correlation with Wind Strength, with a coefficient of -0.080.
(6) Wind Speed:
Wind Speed is the most influential physical indicator in the transportation space, with correlation coefficients of 0.291 and 0.288 with Good Ventilation and Wind Strength, respectively, indicating that higher wind speed significantly improves the ventilation experience and wind perception.
By filtering and organising the correlation results between the human-centred perception indicators and each physical environment parameter, a table of correlation attribution of human-centred perception indicators was generated. The relationship between each perceptual dimension and the physical environment parameters is categorised, as shown in
Table 4, which provides a clear basis for the correlation of the indicators and also lays a solid foundation for the regression analysis to ensure that the specific impact of the environmental parameters on the perceptual experience can be accurately predicted in further analyses.
4.4. Cross-Validation Analysis Based on Traditional Regression and Machine Learning Regression
Analysing the correlation between the human-centred perception evaluation and the physical environment data, the high correlation human-centred perception indicators are screened out, and regression analysis is carried out using single-indicator fitting and the XGBoost algorithm. In the single-indicator fitting regression analysis, the study determines the fitting curves of the highly correlated human-centred perception indicators using visualisation, combines these data with the data of the actual points, and superimposes these data for analysis. The suitability range of each physical environment parameter was determined based on the fitted curves’ performance. In the machine learning model regression analysis, the XGBoost algorithm performs multivariate regression analysis. The model construction and training are used to capture the complex nonlinear relationship between the human-centred perception evaluation and various physical environment parameters, which provides a more scientific and precise reference basis for determining the optimal configuration of physical environment parameters.
4.4.1. Commerical Dimension’s single-indicator fitted regression analysis
The results of the single-indicator fitted regression analysis under Commerical Dimension (as shown in
Figure 4) are as follows:
(1) Aspect Ratio:
In the regression analysis of the Aspect Ratio, multiple human-centred perception indicators (e.g., Security, Interesting, Comfortable Lighting, and Wind Strength) show a significant trend with the change in Aspect Ratio. From the fitted curves, when the Aspect Ratio is between 1.59 and 2.81 and over 3.14, the satisfaction of several perceptual indicators exceeds 3.5 points, and users’ overall satisfaction performs well. The actual points show that the Aspect Ratio is 1.59 and 3.22, several metrics score more than 3.5, especially at 1.83, and the Wind Strength score reaches 3.75. Therefore, the recommended Aspect Ratio range is 1.59 to 2.81 and 3.14 to 3.22.
(2) Humidity:
In the regression analysis of Humidity, the Good Ventilation and Wind Strength metrics showed a clear trend with humidity. The fitted curves show that when the humidity is more significant than 52.31% or 57.27%, the satisfaction of the two indicators exceeds 3.5 points, and the users are more satisfied with the ventilation and wind strength sensation. The actual points show that Wind Strength scores exceed 3.5 for humidity, ranging from 52.50% to 59.22%. Therefore, the recommended Humidity range is 52.31% to 59.22%.
(3) Illumination:
In the regression analysis of Illumination, multiple perceptual indicators showed different trends with illumination. The fitted curves show that when the illuminance is more excellent than 808.11 lx, the satisfaction of various indicators exceeds 3.5 points, and users are more satisfied with the comfort and spatial perception of the lighting. The actual point data showed that when the illuminance was between 1134.00 lx and 1338.24 lx, the metrics Gorgeous and Open had scores of 4.00 or higher. Therefore, the recommended Illumination range is 808.11 lx to 1338.24 lx.
(4) Sound:
In the sound regression analysis, the Quiet metric showed a negative correlation with noise level. The fitted curves show that satisfaction with Quiet generally exceeds 3.5 points when the noise is below 61.21 dB and increases further as the noise level decreases. The points show that the Quiet score reaches 3.75 when the noise level is 59.60 dB. Therefore, the recommended Sound range is from 59.60 dB to 61.21 dB.
(5) Temperature:
In the regression analysis for temperature, satisfaction with comfortable lighting, good ventilation, and wind strength showed different trends in temperature. The fitted curves show that when the temperature is between 22.63°C and 26.39°C, the satisfaction scores of several indicators exceed 3.5, and users perceive ventilation and wind strength more positively. The actual point data shows that Good Ventilation and Wind Strength scores are exceptionally high, at 4.50, when the temperature is between 23.95°C and 26.30°C. Therefore, the recommended temperature range is 22.63°C to 26.39°C.
(6) Wind Speed:
The regression analysis of Wind Speed, Comfortable Lighting, Good Ventilation, and Warm metrics positively correlated with wind speed. The fitted curve shows that when the wind speed is more significant than 0.26 m/s, several satisfaction indicators exceed 3.5 points, and users’ overall satisfaction is higher. The actual point data showed that the Wind Strength score reached 4.02 when the wind speed was between 0.28 m/s and 0.67 m/s. Therefore, the recommended Wind Speed range is from 0.26 m/s to 0.67 m/s.
4.4.2. Single-indicator fitted regression analysis for Transport Dimension
The results of the single-indicator fitted regression analysis under Transport Dimension (as shown in
Figure 5) are as follows:
(1)Aspect Ratio
In the regression analysis of the Aspect Ratio, Wind Strength is the primary influence indicator. The fitted curve shows that when the Aspect Ratio is more significant than 3.12, the score of Wind Strength is more than 3.5, and with the increase of Aspect Ratio, the user’s satisfaction gradually increases. The actual points show that the best point for comfort occurs between 3.16 and 3.20, with a score of 4.00. Therefore, the recommended Aspect Ratio range is 3.12 to 3.20.
(2)Humidity
Wind Strength and Good Ventilation were the critical indicators in the regression analysis of Humidity. The fitted curves show that when Humidity is more excellent than 50.09%, the scores of the two metrics gradually exceed 3.5. The actual point data show that Wind Strength performs best in satisfaction when the humidity ranges from 50.40% to 59.20%, especially at 59.20%, where the score reaches 4.40. Therefore, the recommended Humidity range is from 50.09% to 59.20%.
(3) Illumination
In the regression analysis of Illumination, several perception indicators (e.g., Security, Non-Repression, and Comfortable Lighting) showed significant trends with Illumination. The fitted curves show that when Illumination is between 142.19 lx and 480.03 lx, the satisfaction scores for several perceptual indicators are above 3.5 points, while above 480.03 lx, the satisfaction scores start to decrease. The actual points show that the best satisfaction occurs at 158.80 and 474.00 lx, with a score of 4.00. Therefore, the recommended range for Illumination is 142.19 lx to 480.03 lx.
(4) Sound
Although the fitted curve did not provide a clear trend in the regression analysis of Sound, based on the actual point data, the optimal satisfaction range occurs between 63.15 dB and 75.45 dB, with multiple perceptual metrics scoring at or above 4.00 in this range. Therefore, the recommended Sound range is 63.15 dB to 75.45 dB.
(5) Temperature
In the regression analysis of Temperature, Good Ventilation satisfaction showed a significant trend with Temperature. The fitted curve shows that Good Ventilation’s score gradually increases and exceeds 3.5 when the temperature is lower than 26.35°C, indicating that lower temperatures result in higher ventilation satisfaction. The actual point data showed that the optimal Temperature range was between 21.95°C and 26.20°C, where the highest scores were achieved. Therefore, the recommended Temperature range is 21.95°C to 26.35°C.
(6) Wind Speed
In the regression analysis of Wind Speed, the satisfaction with Wind Strength, Good Ventilation, and Warmth increased with increasing Wind Speed. The fitted curves show that when Wind Speed is more significant than 0.18 m/s, the scores of several perception indicators gradually exceed 3.5. The actual point data showed that the optimal Wind Speed range was between 0.19 m/s and 0.78 m/s, with Wind Strength scores reaching 4.75. Therefore, the recommended Wind Speed range is 0.18 m/s to 0.78 m/s.
4.4.3. Regression Model Analysis Based on XGBoost Algorithm
In the regression analysis of the Commercial Dimension and Transport Dimension, the study also used the XGBoost model in machine learning to predict the relationship between different physical environment parameters and human-oriented perception indicators, as shown in
Figure 6. Overall, although the prediction of XGBoost is more effective, in general, the model construction results are more random, and the r² scores are insufficient in some cases, showing that the stability of the results still needs to be improved. However, in general, the construction results of the model are more random. In some cases, the R² score of the model is insufficient, showing that the stability of the prediction results still needs to be improved. Nevertheless, the model demonstrated the potential to provide an auxiliary reference for future environmental parameter optimisation, and the study selected a model with R
2 greater than
(1)Temperature
The results of the XGBoost regression model show that the Good Ventilation fitted equation in the Commercial Dimension has r² = 0.5269, and the model predicts a good range of temperatures from 21.7505°C to 27.7000°C. Compared to the single-indicator fit (22.63°C to 26.39°C), the machine learning model predicts a slightly more comprehensive range and covers the recommended range of temperature parameters for the single-indicator fit, indicating that the model is more flexible and stable. Compared with the single-indicator fit (22.63°C to 26.39°C), the machine learning model predicts a slightly more comprehensive range and covers the recommended range of the single-indicator fit, which indicates that the model is more flexible and has better stability in predicting temperature parameters. In the Transport Dimension, Good Ventilation’s fitted equation has r² = 0.3602, which is close to the threshold, but the prediction is more limited and falls short of the expected stability.
(2)Illumination
In the Commerical Dimension, the XGBoost regression model showed r² = 0.4077 for the fitted equation for Gorgeous, with a better model prediction and a recommended range of illuminance of 23.5000 lx to 1184.8990 lx. Compared to the recommended range for the single-indicator fit (808.11 lx to 1338.24 lx) Compared to the recommended range for the single metric fit (808.11 lx to 1338.24 lx), the model predicts a lower bound, indicating a more robust user perception in low illumination conditions. In the Transport Dimension, Gorgeous’ fitted equation has r² = 0.3818, and the model predicts well, with a recommended illuminance range of 23.5000 lx to 8525.0000 lx. Compared to the results of the single-indicator fit (142.19 lx to 480.03 lx), the model predicts over a broader range, especially under high illuminance conditions. Compared with the results of the single-indicator fit (142.19 lx to 480.03 lx), the model provides a broader range of predictions, especially under high illumination.
(3)Humidity
The XGBoost regression model in the Commercial Dimension shows Good Ventilation’s fitted equation with r² = 0.5212, which is a good prediction with a recommended humidity range of 39.2000% to 59.2000%. Compared to the recommended humidity range for the single-indicator fit (52.31% to 59.22%), the model extends the range under low humidity conditions and shows greater adaptability. In the Transport Dimension, Good Ventilation’s fitted equation has r² = 0.4043, and the model predicts well, recommending a humidity range of 39.2000% to 59.2000%, again demonstrating a wide range of applicability under low humidity conditions.
(4)Wind Speed
In the commercial dimension, the XGBoost regression model shows that Good Ventilation’s fitted equation has an r² = 0.4828, which is a good prediction, with recommended wind speeds ranging from 0.1001 m/s to 0.6650 m/s. Compared to the single-indexed fit (0.26 m/s to 0.67 m/s), the model performs well at low wind speeds, with a recommended range of 39.2000% to 59.2000%, demonstrating broad applicability at low humidity. Compared with the results of the single-indicator fit (0.26 m/s to 0.67 m/s), the model shows higher prediction ability at low wind speeds, indicating that it can cover more environmental conditions. In the Transport Dimension, Good Ventilation’s fitted equation has r² = 0.3681, which is close to the threshold, but the prediction is more limited and does not reach a high level of stability.
(5)Sound
In the Commerical Dimension, the XGBoost regression model shows that the fitted equation for Noisy has r² = 0.3654, which is close to the threshold but does not achieve the desired stability, with a recommended noise range of 59.6778 dB to 71.0556 dB. Compared to the recommended range for the single metric fit (59.60 dB to 61.21 dB). Compared with the recommended range for single-indicator fitting (59.60 dB to 61.21 dB), the machine learning model has a broader prediction range, which provides more prediction references, especially in high-noise environments, indicating that the model can better cope with different noise conditions. In the Transport Dimension, Varied’s fitting equation has r² = 0.2263, and the model predicts no
(6) Aspect Ratio
In the commercial dimension, the XGBoost regression model has an r² of less than 0.3 for all relevant metrics, which does not provide valid predictions and indicates that the model is unstable in this dimension. In the Transport Dimension, Wind Strength’s fitted equation has an r² = 0.1886, and the model predictions are also not stable enough to provide informative ranges. Therefore, the Aspect Ratio model prediction results in both dimensions did not reach validity and failed to provide a reference basis for design.
This single-indicator fitting regression analysis successfully determined the range of suitability parameters highly correlated with the human-oriented perception indicators for each physical environment parameter in the commercial dimension and Transportation Dimension. Based on these theoretical calculations and actual point data, the recommended physical environment parameter ranges are adaptable and provide a reference basis for subsequent spatial environment optimisation.
On this basis, key physical environment parameters such as Temperature and Illumination were cross-validated by combining the regression analysis results of the XGBoost machine learning model. The XGBoost model provides a more flexible and broader prediction range for these parameters in the commercial dimension. Some results are consistent with the recommended range of single-indicator fitting and even extend the applicability range in the low-parameter or high-parameter interval.