4.2. Relationship between LTc1 and Built Environment Scores
Figure 2 shows that the majority of built environment scores and LTc1 scores in LEED Platinum-certified office buildings are high (Quadrant I). At the Platinum certification level, Spearman’s correlation results showed a moderate positive and significant correlation between each of the three built environment scores as well as the sum of the three built environment scores and LTc1 scores.
Figure 3 shows that the majority of built environment and LTc1 scores in LEED Gold-certified office buildings are distributed between two quadrants: either high built environment scores and high LTc1 scores (Quadrant I) or low built environment scores and high LTc1 scores (Quadrant II). At the Gold certification level, Spearman’s correlation results showed a strong positive and significant correlation between walk scores and LTc1 scores, between transit scores and LTc1, and between the sum of three built environment scores and LTc1 scores, indicating a moderate positive and significant correlation between bike scores and LTc1 scores.
Figure 4 shows that the majority of built environment scores and LTc1 scores in LEED Silver-certified office buildings are distributed among three quadrants: high built environment scores and high LTc1 scores (Quadrant I), low built environment scores and high LTc1 scores (Quadrant II), and low built environment scores and low LTc1 scores (Quadrant III). At the Silver certification level, Spearman’s correlation results showed a moderate positive and significant correlation between walk scores and LTc1 scores, between transit scores and LTc1 scores, between bike scores and LTc1 scores, and between the sum of three built environment scores and LTc1 scores.
In
Figure 5, LEED Certified office buildings show approximately equal distributions of built environment and LTc1 scores among four quadrants: high built environment scores and high LTc1 scores (Quadrant I), low built environment scores and high LTc1 scores (Quadrant II), low built environment scores and low LTc1 scores (Quadrant III), and high built environment scores and low LTc1 scores (Quadrant IV). At the Certified level, Spearman’s correlation results showed a very weak or very weak positive and non-significant correlation between built environment and LTc1 scores.
According to the literature, quadrat analysis is widely used to analyze both LEED-certified project distributions and LEED certification strategies. For example, Shuang et al. [
46] used quadrant analysis to estimate the spatial distribution of LEED-certified buildings across 31 provinces in China from 2006 to 2022. They showed that a “Matthew effect” occurred between provinces with high green building development and provinces with low green building development over time. Consequently, high green building development increased and low green building development significantly decreased. Consistent with the six-shear layer concept of Brand [
47] and the two-layer concept of Shaviv [
48], Pushkar and Verbitsky [
49] used quadrant analysis to examine the distribution of LEED credits between the Building (including credits responsible for Site, Structure, Skin) and Service layers (including credits responsible for Service, Space, and Stuff) in LEED-EB Silver and Gold projects in the United States. They found that LEED-EB Silver projects are associated with higher scores in the Service layer and lower scores in the Building layer. By contrast, LEED-EB Gold projects have higher scores in both the Service and Building layers.
Analyses of the quadrants in
Figure 2,
Figure 3,
Figure 4 and
Figure 5 show that as the certification level decreases from Platinum to Certified, through Gold and Silver, the built environment scores and LTc1 scores shift from Quadrant I with high values to Quadrant III with low values.
Spearman’s rank correlation analysis is widely used to examine both the relationship between LEED credit scores and the influence of architectural factors on LEED credit scores. For example, the relationship between LEED credit scores is presented in two studies. Pushkar [
50] studied the LT category in LEED-CI v4-certified projects in California, USA. The author found that at the three certification levels—Certified, Silver, and Gold—there were strong or very strong positive correlations between the two LT credits “surrounding density and diverse uses” and “access to quality transit” (0.77 ≤
r ≤ 0.88). Pushkar [
51] found a negative correlation between the “optimize energy performance” credit scores from the EA category and the sum of credits from the EA, SS, and EQ categories in LEED-EB v4 Gold-certified projects in Spain (
r = -0.71).
The influence of architectural factors on LEED credit scores is presented in one study. For example, Smith and Bereitschaft [
52] investigated the influence of two urbanization measures, namely night-time light (NTL) intensity scores and the percentage of impervious land cover (PILC), on LEED-ND “smart location and linkages” (SLL) LEED-ND-SSL-certified project scores. They found a positive correlation between the SLL category scores and NTL scores and between the SLL category scores and PILC (
r = 0.35 and 0.58, respectively).
The results of Spearman’s rank correlation in
Figure 2,
Figure 3 and
Figure 4 showed the significant influence of built environment scores (i.e., walk score, transit score, and bike score) on LTc1 scores in LEED-EB v4 Platinum, Gold, and Silver-certified office buildings. However,
Figure 5 shows no correlation between built environment scores and LTc1 scores. This finding can be explained as follows: if the built environment scores show high values, a monotonic increase in LTc1 scores occurs with an increase in these scores. However, if the built environment scores show low values, a monotonic increase or decrease in LTc1 scores is not observed.
To clarify and validate these explanations, a pairwise comparison analysis was conducted across four LEED certification levels using three built environment scores (i.e., walk, transit, and bike scores) and LTc1 scores.
4.3. Pairwise Comparison of LEED Certification Levels
Table 6 shows that as the LEED certification level decreases, walk, transit, bike, and LTc1 median scores decrease and the IQR/M ratio increases. An increase in IQR/M may indicate increased heterogeneity in LEED data.
Table 6 also shows that, for bike and LTc1 scores, LEED Platinum, Gold, and Silver projects outperformed Certified projects with large effect sizes. Similarly, LEED Platinum and Gold outperformed Certified projects with medium/large effect sizes in walk and transit scores.
A literature review identified at least four studies examining the differences between adjacent certification levels in projects within the same system, specifically LEED-NC-certified projects. In comprehensive studies, Wu et al. [
53,
54] found that EA was the primary factor driving the transition from Certified to Silver, Silver to Gold, and Gold to Platinum in both LEED v2.2 and LEED v3 2009 certified projects. However, as shown in
Table 7, the difference in EA scores between adjacent certification levels depends on the LEED system version.
Pushkar and Verbitsky [
55] found that EA scores depend on green building policies at the state level.
Table 8 shows significant differences in EA scores between LEED Silver and Gold projects in two US states using the same LEED system [
55].
Pham et al. [
56] studied the performance of the capacious EAc1, “optimize energy performance” credit (max score = 19) in LEED-NC v3 2009-certified projects at the Silver, Gold, and Platinum certification levels. Pham et al. [
56] demonstrated that differences between the EAc1 credit in the Gold group and EAc1 in the Silver group, as well as differences between EAc1 in the Platinum group and EAc1 in the Gold group had large effect sizes (Cliff’s
δ = 0.61 and 0.73, respectively). Due to a lack of descriptive statistics in Pham et al.‘s study [
56], the differences between adjacent certification levels could not be analyzed in tabular form.
Therefore, differences in walk, transit, bike, and LTc1 scores should be explained in terms of the four LEED certification levels.
The correlation analysis of each certification level and comparisons between certification levels suggest that high built environment scores strongly influence LEED certification strategies by increasing LTc1 achievements at the Platinum, Gold, and Silver levels. As a result of the low walk, transit, bike, and LTc1 scores at the Certified level, low built environment scores do not impact the LEED certification strategy.