Construction of quality evaluation indicator system for diamond discrete global grid systems

Although the uniformity of diamond discrete global grid is essential for calculations and searches, geometric deformations increase with the level of divisions. The Goodchild Criteria provides a basis for evaluating the quality of the global grid. However, some indicators in the criteria are redundant and contradictory, and the existing indicator system has limitations. Directly using the indicator system may render the evaluation of the diamond grid unreliable. In this study, we summarized the evaluation indicators for grid quality based on the Goodchild Criteria, calculated the correlations between these indicators using different diamond grid systems, and constructed reliable evaluation systems based on similarities and differences. The selected grid systems are classified into two groups: non-equal-area and equal-area grids. Their quality evaluation systems are composed of Size-Shape-Topology Factor and Geometry-Topology Factor, respectively. The proposed quality evaluation systems utilize a minimal number of indicators selected from each factor to provide a comprehensive description of the diamond grid’s characteristics. This approach simplifies the complexity of the evaluations while improving their reliability and credibility.