## 4 Results and Analysis
### Trend Prediction of Dual-System Coupling Coordination Degree
#### 4.3.2. GM (1, 1) Time Series Evolution Trend Prediction  
According to the constructed GM (1, 1) model, the coupling and coordinated development trend of technological innovation and ecological environment development in my country's coastal areas in the next year is predicted. The prediction results are shown in Table 8.  
Figure 4 displays the time prediction chart depicting the coupling coordination degree between technological innovation and ecological environment development. The projected outcomes for the coupled and coordinated development in coastal regions between 2021 and 2025 are as follows:  
(1) From 2021 to 2025, various coastal areas will maintain an upward development trend, but the gap will further widen. Specifically, most coastal areas will be at a good coupling level (0.5-0.7). Furthermore, it is projected that the regional disparity will increase from 0.570 in the year 2021 to 0.669 by the year 2025. This suggests that the degree of integration and synchronization between technological advancement and ecological environment development in coastal regions exhibits disparities and will persist in the foreseeable future.  
\begin{table}
\begin{tabular}{c c c} \hline
**Province** & **C Value** & \(p\) **Value** \\ \hline Tianjin & 0.43913 & 0.81818 \\ Hebei & 0.24396 & 1 \\ Liaoning & 0.58745 & 0.63636 \\ Shanghai & 0.33591 & 0.90909 \\ Jiangsu & 0.31345 & 0.90909 \\ Zhejiang & 0.28233 & 0.90909 \\ Fujian & 0.24807 & 1 \\ Shandong & 0.23969 & 1 \\ Guangdong & 0.25395 & 1 \\ Guangxi & 0.29279 & 1 \\ Hainan & 0.1921 & 1 \\ \hline \end{tabular}
\end{table}
Table 7: Test of GM (1, 1) model for coupling and coordination of two systems in coastal areas.  
\begin{table}
\begin{tabular}{c c c c c c} \hline
**Province** & **2021** & **2022** & **2023** & **2024** & **2025** \\ \hline Tianjin & 0.444 & 0.450 & 0.455 & 0.460 & 0.466 \\ Hebei & 0.525 & 0.546 & 0.567 & 0.589 & 0.613 \\ Liaoning & 0.461 & 0.467 & 0.473 & 0.479 & 0.484 \\ Shanghai & 0.538 & 0.549 & 0.560 & 0.571 & 0.582 \\ Jiangsu & 0.738 & 0.762 & 0.787 & 0.813 & 0.840 \\ Zhejiang & 0.666 & 0.697 & 0.729 & 0.763 & 0.798 \\ Fujian & 0.538 & 0.562 & 0.587 & 0.612 & 0.639 \\ Shandong & 0.660 & 0.683 & 0.707 & 0.731 & 0.756 \\ Guangdong & 0.831 & 0.879 & 0.929 & 0.983 & 0.989 \\ Guangxi & 0.408 & 0.417 & 0.426 & 0.436 & 0.446 \\ Hainan & 0.261 & 0.275 & 0.289 & 0.304 & 0.320 \\ \hline \end{tabular}
\end{table}
Table 8: Forecast of the evolution trend of coupling coordination degree in various provinces in coastal areas from 2021 to 2025.  
(2) The degree of coupling and coordination between the two systems in some coastal areas has increased rapidly. For example, the degree of coordinated development of SC and EN in Zhejiang and Shandong has been significantly enhanced. Zhejiang improved from moderate coordination in 2021 (0.666) to good coordination in 2023 (0.729). This shows that appropriate policies and solutions can accelerate the collaborative optimization of technological innovation and ecological environment development, thereby promoting an improvement in the degree of coupling coordination.  
(3) The degree of coupling coordination in some coastal areas is slowly improving. Among them, Liaoning, Guangxi, and Hainan need to catch up in development. Hainan will shift to moderate coordination by 2024, while Liaoning and Guangxi will be in a state of moderate coordination. It shows that there are different influencing factors and development backgrounds in different regions. Hence, it is vital to tailor strategies to suit the specific circumstances of each locality and offer distinct remedies to foster the harmonized advancement of scientific and technological innovation and ecological environment establishment in coastal regions.