## 4 Results Analysis
### The Evaluation Results of the Efficiency of Psychological Crisis Intervention Resource Integration
The technical efficiency of psychological crisis intervention resource integration for the JSS institution is close to 1, indicating that under variable returns to scale, the center's technical efficiency is relatively high and near optimal output, but there is still some room for improvement. The scale efficiency is less than 1 and very low, indicating significant deficiencies in scale, far from achieving optimal efficiency levels. Increasing returns to scale suggest that if the institution can increase its scale, its efficiency can be improved. Therefore, the efficiency of psychological crisis intervention resource \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline
**Institution** & **Overall** & **Technical** & **Scale** & **Returns** & **\(\mathbf{\xi_{1}^{-}}\) & \(\mathbf{\xi_{2}^{-}}\) & \(\mathbf{\xi_{3}^{-}}\) & \(\mathbf{\xi_{1}^{+}}\) & \(\mathbf{\xi_{2}^{+}}\) & **Relative** \\
**Code** & **Efficiency** & **Efficiency** & **Efficiency** & **to Scale** & **\(\mathbf{\xi_{1}^{-}}\) & **\(\mathbf{\xi_{2}^{-}}\)** & **\(\mathbf{\xi_{3}^{-}}\)** & **\(\mathbf{\xi_{1}^{+}}\)** & **\(\mathbf{\xi_{2}^{+}}\)** & **Efficiency** \\ \hline KMS1 & 1 & 1 & 1 & Unchanged & 0 & 0 & 0 & 0 & 0 & Effective \\ SZS & 0.883 & 1 & 0.883 & Incremental & 0 & 0 & 0 & 0 & 0 & effective \\ GZS & 1 & 1 & 1 & Unchanged & 0 & 0 & 0 & 0 & 0 & Effective \\ KMS2 & 1 & 1 & 1 & Unchanged & 0 & 0 & 0 & 0 & 0 & Effective \\ GZ & 0.704 & 0.784 & 0.898 & Incremental & 0.675 & 0 & 0 & 1.864 & 0 & Weakly \\ LCS & 0.91 & 0.988 & 0.921 & Incremental & 0 & 0 & 0.046 & 0.576 & 2.625 & Weakly \\ NYS & 0.821 & 0.876 & 0.938 & Incremental & 0 & 0.011 & 0 & 0 & 3.194 & Weakly \\ JS & 0.294 & 0.944 & 0.312 & Incremental & 2.721 & 0 & 0 & 7.566 & 13.014 & Ineffective \\ GJ & 1 & 1 & 1 & Unchanged & 0 & 0 & 0 & 0 & 0 & Effective \\ BJS & 0.707 & 1 & 0.707 & Incremental & 0 & 0 & 0 & 0 & 0 & effective \\ \hline \hline \end{tabular}  
* Notes: KMS1 represents the Kunming City Psychological *** Center. SZS represents the Shenzhen City *** Center. GZS represents the Guangzhou City *** Consulting Room. KMS2 represents the Kunming City *** Center. GZ represents the Guangzhou *** Center. LCS represents the Lincing City *** Hospital. NYS represents the Nanyang City *** Center. JS represents the Jiangsu Province *** Center. GJ represents the National *** Center. BJS represents the Beijing City *** Institute. Due to privacy concerns, the names of the surveyed entities have been redacted. \(\mathbf{\xi_{1}^{-}}\), \(\mathbf{\xi_{2}^{-}}\), \(\mathbf{\xi_{3}^{-}}\), \(\mathbf{\xi_{1}^{+}}\), \(\mathbf{\xi_{2}^{+}}\) represent the slack variables for fiscal appropriations, human resources, facility resources, service coverage rate, and intervention effectiveness, respectively.  
\end{table} 
Table 3: Efficiency values and slack of individual agencies regarding resource integration for psychological crisis intervention, 2022.  
integration for this institution is considered ineffective, particularly requiring substantial improvements and expansion in scale operations. As shown in Figure 2, the overall level of efficiency in integrating psychological crisis intervention resources among most of the institutions involved in this study is relatively high during disaster response and emergency situations. However, significant differences exist between institutions. From a geographical distribution perspective, institutions like GZS and GJ exhibit high overall efficiency, indicating that the resource integration and service provision in major cities are relatively more efficient in disaster prevention, mitigation, and risk management. However, the overall efficiency at BJS in Beijing is not high, possibly due to a mismatch between resource allocation, service provision, and actual needs. Despite having higher quality resources, high resource consumption and service provision may not have fully met the demands or utilized efficiently, leading to suboptimal efficiency.