3.2.2. The Impacts of Viewing Distance and Edge Permeability on Physiological Indicators
The analysis of physiological indicators was divided into three steps. The first step was to perform data processing, remove discrete values and error values, and test whether the data met the normal distribution through descriptive statistical analysis. In the second step, two-way ANOVA analysis of variance was used to analyze the participants’ physical responses after immersed in landscape settings with different viewing distances (20 m, 100 m, 200 m) and edge permeability (30%, 70%, 100%). The third step was correlation analysis. The correlation function model was constructed for the variables with significant correlations through curve fitting.
According to the two-way ANOVA analysis, there was no significant correlation between the viewing distance and the △ESC, F(2,889) = 0.079,
p = 0.924, η
2p d = 0.000 (
Table 3). There was also no significant correlation between edge permeability and △ESC, F(2,889) = 0.118, p = 0.888, η
2p d = 0.000 (see
Table 3). There was also no significant correlation between the cross-effects of viewing distance, edge permeability and ΔESC, F(4,889) = 0.865,
p = 0.484, η
2p d = 0.004 (
Table 3). η2p d is the effect size, and its value ranges from 0 to 1. The larger the value of η
2p d, the more the variance effect of the dependent variable is explained. The analysis of other physiological indicators was the same, and will not be described in detail below.
As shown in
Table 4, there was no significant correlation between viewing distance and △E
ST, F(2,889) = 1.538,
p = 0.215, η
2p d = 0.003; there was no significant correlation between edge permeability and △E
ST, F(2,889)= 0.983,
p = 0.375, η
2p d = 0.002; and the cross-effect of viewing distance × edge permeability also had no significant correlation with △E
ST, F(4,889) = 0.260,
p = 0.903, η
2p d = 0.001.
As shown in
Table 5, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
HR, F(2,889) = 0.131,
p = 0.877, η
2p d = 0.000; there was also no significant correlation between edge permeability and ΔE
HR, F(2,889) = 0.686,
p = 0.504, η
2p d = 0.002; and there was also no significant correlation between the cross-effect of viewing distance × edge permeability, and ΔE
HR, F(4,889) = 0.571,
p =
0.684, η
2p d = 0.003.
As shown in
Table 6, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
BVP Amp, F(2,889) = 0.912,
p =
0.971, η
2p d = 0.002; there was also no significant correlation between sparse density and ΔE
BVP Amp, F(2,889)= 0.030,
p =
0.402, η
2p d =.000; and there was also no significant correlation between the cross-effect of viewing distance × edge permeability, and ΔE
BVP Amp, F(4,889)= 0.588,
p = 0.671, η
2p d = 0.003.
As shown in
Table 7, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
SPO2, F(2,889)= 0.099,
p = 0.906, η
2p d = 0.000; there was also no significant correlation between sparse density and ΔE
SPO2, F(2,889)= 0.304,
p = 0.738, η
2p d = 0.001; and there was also no significant correlation between the cross-effect of viewing distance * edge permeability, and ΔE
SPO2, F(4,889) = 0.339,
p = 0.852, η
2p d = 0.002.
As shown in
Table 8, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
RMSSD, F(2,889) = 0.770,
p = 0.463, η
2p d = 0.002; there was also no significant correlation between sparse density and ΔE
RMSSD, F(2,889) = 1.673,
p =
0.188, η
2p d = 0.004; and there was also no significant correlation between the cross-effect of viewing distance * edge permeability, and ΔE
RMSSD, F(4,889)= 0.819,
p = 0.513, η
2p d = 0.004.
As shown in
Table 9, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
SDNN, F(2,889) = 1.398,
p = 0.248, η
2p d = 0.003; there was also no significant correlation between sparse density and ΔE
SDNN, F(2,889)= 0.891,
p =
0.411, η
2p d = 0.002; and there was also no significant correlation between the cross-effect of viewing distance * edge permeability, and ΔE
SDNN, F(4,889) = 1.439,
p = 0.219, η
2p d = 0.007.
As shown in
Table 10, from the results of the inter-subject effect test, it can be seen that there was no significant correlation between viewing distance and ΔE
LF/HF, F(2,889) = 0.022,
p = 0.978, η
2p d = 0.000; and there was also no significant correlation between sparse density and ΔE
LF/HF, F(2,889)= 0.089,
p =
0.915, η
2p d = 0.000, although the interaction effect of viewing distance * edge permeability was significant with ΔE
LF/HF, F(4,889)= 2.431,
p = 0.046 *, η
2p d = 0.011. However, since the single factors of viewing distance and edge permeability had no effect on △E
LF/HF, their interactive effects made no sense.
For physiological indicators, viewing distance and edge permeability had no significant effect (
Table 11).
3.2.3. The Impacts of Viewing Distance and Edge Permeability on Psychological Indicators
The psychological index analysis was also divided into 3 steps: the first step was to correct the data and conduct descriptive statistical analysis. The second step was to use two-way ANOVA analysis of variance to examine the participants’ psychological responses after immersed in landscape settings with different viewing distances (20m, 100m, 200m) and edge permeability (30%, 70%, 100%). The third step was to do correlation analysis: to examine how viewing distance, edge permeability, and viewing distance × edge permeability affected the four psychological indicators. Then use the curve fitting to establish the optimal model. Finally, we tested whether the degree of depression had an impact on the results.
For psychological indicators, different viewing distances and edge permeability had no significant impact on sense of safety, but had a significant impact on preference, anxiety, and depression. The impacts of edge permeability on perceived anxiety reduction were more significant, and the impacts of viewing distance × edge permeability on depression were also very significant (see
Table 11).
Through two-way ANOVA analysis of variance, the effect of viewing distance on perceived preference was significant, F(2,882) = 3.734,
p < 0.05, η
2p = 0.009; while the effect of edge permeability on the perceived preference was not significant, F(2,882)= 1.906,
p > 0.05, η
2p = 0.004. The interaction effect of viewing distance × edge permeability had no significant effect on preference degree, F(4,882) = 0.320,
p > 0.05, η
2p = 0.001, as shown in
Table 12.
As shown in
Table 13, participants preferred the landscape setting with a viewing distance of 100 m (M = 6.27 ± 1.805), followed by the landscape setting with a viewing distance of 200 m (M = 6.19 ± 1.911). The landscape setting with a viewing distance of 20 m (M = 5.88 ± 1.862) was the least preferred.
As shown in
Figure 5, there was a significant difference in the preference degree between the viewing distance of 20 m and the viewing distances of 100 m and 200 m. The relationship between the preference degree and the viewing distance was: 100 m > 20 m, 200 m > 20 m.
The relationship between preference degree (Y) and viewing distance (X) is: “Y = −0.000032X
2 + 0.009 X + 5.715”. The highest preference degree was achieved for a viewing distance of 141 m. When the viewing distance was between 0 and 141 m, preference degree would increase as the viewing distance increased. When the viewing distance exceeded 141 m, preference degree would decrease as the distance increased (
Figure 6).
As shown in
Table 14, viewing distances had a significant effect on perceived anxiety, F(2,882) = 4.266,
p < 0.05, η
2p = 0.010. Edge permeability had a higher significant effect on perceived anxiety, F(2,882) = 6.237,
p < 0.01, η
2p = 0.014; however, the interaction effect of viewing distance × edge permeability was not significant, F(4,882) = 0.470,
p > 0.05, η
2p = 0.002. Therefore, perceived anxiety in landscape settings with different viewing distances was not affected by edge permeability, and the perceived anxiety in landscape settings with different edge permeability levels was also not affected by viewing distance.
There was a significant difference in the perception of anxiety between participants with visual distances of 20 m and 100 m (
p < 0.05); there was also a significant difference between landscape settings of 20 m and 200 m (
p < 0.05), but there was no significant difference between the 100 m and 200 m groups (
p > 0.05). The perceived anxiety of the landscape setting with a viewing distance of 20 m (M = 3.18, SD = 1.711) was 0.333 higher than that of the landscape setting with a viewing distance of 100 m (M = 2.85, SD = 1.619), which was 0.350 higher than that of the landscape with a viewing distance of 200 m (M = 2.83, SD = 1.635) (
Table 15).
As shown in
Figure 7, the participants’ perception of anxiety in landscape settings with different viewing distances, from low to high, was 100 m < 20 m, 200 m < 20 m. It can be inferred that the farther the viewing distance, the lower the perceived anxiety. However, when the distance reached a certain limit, the anxiety levels did not change significantly.
The relationship between perceived anxiety (Y) and viewing distance (X) is: “Y = 0.000022X
2 −0.007X + 3.310”. Perceived anxiety was lowest when the viewing distance was 159 m. When the viewing distance range is between 0–159 m, perceived anxiety would be reduced as the viewing distance increased. When the viewing distance exceeded 159 m, perceived anxiety would increase slightly as the viewing distance increased (
Figure 6).
- b.
Edge permeability has a significant effect on anxiety
There was a significant difference between the participants’ perception of anxiety in landscape settings with edge permeability of 30% and 100% (
p < 0.05), and there was also a significant difference between the 70% and 100% groups (
p < 0.01). There was no significant difference in perceived anxiety between the 30% and 70% groups (
p > 0.05). For the landscape setting with 30% edge permeability (M = 2.90, SD = 1.667), the perceived anxiety was 0.316 lower than that with 100% edge permeability (M = 3.22, SD = 1.667); for the landscape setting with 70% edge permeability (M = 2.75, SD = 1.936), the perceived anxiety was 0.468 lower than that of the landscape setting with 100% edge permeability (
Table 16).
The participants’ perceived anxiety in landscape settings with different edge permeability levels from low to high was: 30% < 100%, 70% < 100%. It can be seen that a space that was too dense had a poor effect on anxiety reduction. However, when it was sparse to a certain extent, the difference in perceived anxiety was not obvious (
Figure 8).
The relationship between perceived anxiety (Y) and edge permeability (X) is: “Y = 2.77X
2 − 3.149X + 3.594 (0 ≤ X ≤ 1)”. Perceived anxiety was lowest when the edge permeability was 57%. When the edge permeability range was between 0–57%, perceived anxiety would be reduced as the edge permeability increased. When the edge permeability range was between 57%-100%, perceived anxiety would increase slightly as the edge permeability increased (
Figure 6).
The effect of different viewing distances on perceived depression was very significant, F(2,882) = 12.498,
p < 0.001, η
2p = 0.028; the effect of different edge permeability levels on perceived depression was also very significant, F(2,882) = 9.995,
p < 0.001, η
2p = 0.022; however, the interaction effect of viewing distance * edge permeability was not significant, F(4,882) = 0.392,
p > 0.05, η
2p = 0.002. Perceived depression in landscape settings with different viewing distances was not affected by edge permeability, and perceived depression in landscape settings with different edge permeability levels was also not affected by viewing distance (
Table 17).
There was a significant difference between the participants’ perception of depression in landscape settings with viewing distances of 20 m and 100 m (
p < 0.001), and there was also a significant difference in the perception of depression in landscape settings with viewing distances of 20 m and 200 m. (
p < 0.001), while there was no significant difference in the perception of depression between the viewing distances of 100 m and 200 m (
p > 0.05). Perceived depression by the landscape setting with a viewing distance of 20 m (M = 3.10, SD = 1.961) was 0.603 higher than that of the landscape setting with a viewing distance of 100 m (M = 2.50, SD = 1.732), which was 0.677 higher than that with a viewing distance of 200 m (M = 2.43, SD = 1.775) (
Table 18).
The participants’ perceived depression in landscape settings with different viewing distances from low to high was: 100 m < 20 m, 200 m < 20 m. It can be seen that the farther the viewing distance was, the lower the perceived depression, but to a certain extent, the perceived depression did not change significantly, as shown in
Figure 9.
A quadratic function relationship between perceived depression (Y) and viewing distance (X): “Y = 0.000038X
2 −0.012X + 3.331”. Perceived depression was lowest when the viewing distance was 158 m. When the viewing distance range was between 0–158 m, perceived depression would be reduced as the viewing distance increased. When the viewing distance was further than 158 m, perceived depression would increase slightly as the viewing distance increased (
Figure 6).
- b.
Edge permeability has a significant effect on depression
There was a significant difference between the participants’ perceived depression in landscape settings with edge permeability of 30% and 100% (
p < 0.001), and there was also a significant difference in perceived depression in landscape settings with edge permeability of 70% and 100%. There was no significant difference between landscape settings with edge permeability of 30% and 70% (
p > 0.05). For the landscape setting with edge permeability of 30% (M = 2.51, SD = 1.869), perceived depression was 0.556 lower than that of a landscape setting with edge permeability of 100% (M = 3.06, SD = 1.837). For the landscape setting with edge permeability of 70% (M = 2.47, SD = 1.784), perceived depression was 0.593 lower than that with edge permeability of 100% (
Table 19).
The participants’ perceived depression in landscape settings with different edge permeability levels from low to high was: 30% < 100%, 70% < 100%. It can be seen that the high edge permeability of the grassland landscape had a lower restorative effect on perceived depression. However, if edge permeability was too low, it would lead to an insufficient green dose and on conversely have a poor effect on perceived depression reduction, as shown in
Figure 10.
A quadratic relationship existed between perceived depression (Y) and edge permeability (X): “Y = 2.954X
2 − 3.047X + 3.153 (0 ≤ X ≤ 1)”. Depression was lowest when the edge permeability level was 52%. When the edge permeability range was between 0–52%, perceived depression would be reduced as the edge permeability increased. When the edge permeability range was between 52%-100%, perceived depression would increase as the edge permeability increased (
Figure 6).