Yin Kedong, Zhang Ya, Li Xuemei
School of Economics, Ocean University of China, Qingdao 266100, China.
Ocean Development Research Institute, Major Research Base of Humanities and Social Sciences of Ministry of Education, Ocean University of China, Qingdao 266100, China.
Int J Environ Res Public Health. 2017 Nov 1;14(11):1330. doi: 10.3390/ijerph14111330.
Owing to the difference of the sequences' orders and the surface structure in the current panel grey relational models, research results will not be unique. In addition, individual measurement of indicators and objects and the subjectivity of combined weight would significantly weaken the effective information of panel data and reduce the reliability and accuracy of research results. Therefore, we propose the concept and calculation method of dispersion of panel data, establish the grey relational model based on dispersion of panel data (DPGRA), and prove that DPGRA exhibits the effective properties of uniqueness, symmetry, and normality. To demonstrate its applicability, the proposed DPGRA model is used to research on storm-tide disaster losses in China's coastal areas. Comparing research results of three models, which are DPGRA, Euclidean distance grey relational model, and grey grid relational model, it was shown that DPGRA is more effective, feasible, and stable. It is indicated that DPGRA can entirely utilize the effective information of panel data; what's more, it can not only handle the non-uniqueness of the grey relational model's results but also improve the reliability and accuracy of research results. The research results are of great significance for coastal areas to focus on monitoring storm-tide disasters hazards, strengthen the protection measures of natural disasters, and improve the ability of disaster prevention and reduction.
由于当前面板灰色关联模型中序列顺序和表面结构的差异，研究结果不具有唯一性。此外，指标和对象的个体测量以及组合权重的主观性会显著削弱面板数据的有效信息，降低研究结果的可靠性和准确性。因此，我们提出了面板数据离散度的概念和计算方法，建立了基于面板数据离散度的灰色关联模型（DPGRA），并证明DPGRA具有唯一性、对称性和正态性等有效特性。为了证明其适用性，将所提出的DPGRA模型用于研究中国沿海地区的风暴潮灾害损失。比较DPGRA、欧氏距离灰色关联模型和灰色网格关联模型这三种模型的研究结果，结果表明DPGRA更有效、可行和稳定。结果表明，DPGRA能够充分利用面板数据的有效信息；此外，它不仅可以处理灰色关联模型结果的非唯一性，还可以提高研究结果的可靠性和准确性。该研究结果对于沿海地区关注风暴潮灾害隐患监测、加强自然灾害防护措施以及提高防灾减灾能力具有重要意义。
