## 4 Results
### Co-Evolutionary Results of RGTI, NQP and CRCI  
This study measured the coordinated development level among RGTI, NQP, and CRCI based on the method of coupling coordination degree. Figure 3 demonstrates that from 2013 to 2021, the coupling coordination degree (D value) among RGIT, NQP, and CRCI has shown a steady upward trend nationwide, while the fluctuations indicated in Radar Figure 4 reflect the significant regional disparities in coordinated development among the 30 provinces nationwide. Regionally, the eastern region exhibits the most favorable cooperative evolution trend, with its coupling coordination degree consistently maintaining a leading level. Specifically, the D value of Beijing steadily increased from 0.641 in 2013 to 0.780 in 2021, while Shanghai and Jiangsu achieved 0.758 and 0.719, respectively, realizing a transition from primary to intermediate coordination. This high level of coupling coordination reveals that, driven by new productivity, green technology innovation in the eastern region has fully facilitated carbon reduction in the construction industry. This phenomenon may arise from the superior endowment of innovative resources and policy support systems in the eastern region, allowing green technologies to efficiently permeate the low-carbon transformation process of the construction industry. [PERSON] et al. [47] assessed the efficiency of regional green technology innovation using a dynamic network slack measurement method and also found that technological innovation efficiency scores exhibit strong spatial dependence and significant spatial imbalance phenomena. Similarly, [PERSON] et al. [48] found that there is a significant spatial agglomeration phenomenon between the level of green technology innovation in Chinese provinces and carbon intensity; the direct impact of green technology innovation on the carbon intensity of local regions presents a significant \"inverted U-shaped\" relationship. In contrast, the central region exhibits a \"catch-up\" collaborative evolution characteristic, with its coupling coordination degree value, although lower than that of the eastern region, showing a steady upward trend. For example, in 2021, the coupling coordination degrees of Anhui and Henan reached 0.546 and 0.473, respectively, placing them within the range of \"barely coordinated\" to \"near disorder\". This \"catch-up\" development model  
Figure 3: Heat map of RGTI, NQP, and CRCI coupling coordination degrees (D values). aligns closely with the transformation characteristics of the central region. The deeper reason lies in the gradual development of green technology innovation capabilities in these regions as they undertake industrial transfer and technology spillovers from the eastern region. However, constrained by the weak foundation of new productivity and a lack of innovative resources, the practical application of green technologies in the construction industry still requires improvement. In particular, the gap between the central and eastern regions remains evident in terms of technology absorption, transformation, and the industrialization of innovative outcomes. Finally, the coupling coordination degree in the western and northeastern regions is generally at a low level. Figure 4 shows that the D values in these regions mostly fall between mild disorder and moderate disorder, indicating a slow rate of growth. For example, the D values of Ningxia and Heilongjiang reached 0.451 and 0.460 in 2021, respectively, indicating that they merely reached the level of \"near disorder\". This indicates that the lagging nature of this collaborative evolution reflects the structural contradictions in regional development. Firstly, the inertia of traditional industries and path dependence constrain the formation of new productivity. Secondly, the shortage of innovative resources and talent outflow weaken the endogenous driving force of green technology innovation.