Area and shape distortions in open-source discrete global grid systems

Figures & data

Table 1. Evaluated software packages and DGGS types, selected resolution levels and corresponding maximum number of cells at the highest resolution.

Software	DGGS type	Aperture	Tessellation	Resolutions	Max no. cells
H3	H3	7	Hexagon	2-4	284,649
S2	S2	4	Square	2-8	388,775
OpenEAGGR	ISEA4T	4	Triangle	2-7	323,391
rHEALPix	rHEALPix	9	Multiple	2-5	349,548
DGGRID	ISEA7H	7	Hexagon	2-5	165,957
DGGRID	FULLER7H	7	Hexagon	2-5	165,956
DGGRID	ISEA4D	4	Diamond	2-7	161,796
DGGRID	FULLER4D	4	Diamond	2-7	161,796
DGGRID	ISEA4T	4	Triangle	2-7	323,644
DGGRID	FULLER4T	4	Triangle	2-7	323,644

Figure 1. Global map of normalized area and compactness values for H3 DGGS cells.

Figure 2. Global map of normalized area and compactness values for S2 DGGS cells.

Figure 3. Global map of normalized area and compactness values for OpenEAGGR DGGS cells.

Figure 4. Global map of normalized area and compactness values for rHEALPix cells.

Figure 5. Global map of normalized area and compactness values for DGGRID ISEA7H cells.

Figure 6. Global map of normalized area and compactness values for DGGRID FULLER7H cells.

Figure 7. Global map of normalized area and compactness values for DGGRID ISEA4D cells.

Figure 8. Global map of normalized area and compactness values for DGGRID FULLER4D cells.

Figure 9. Global map of normalized area and compactness values for DGGRID ISEA4T cells.

Figure 10. Global map of normalized area and compactness values for DGGRID FULLER4T cells.

Figure 11. Summary boxplots of normalized area and compactness values for the cells of the tested DGGSs.

Data availability statement

The data that support the findings of this study are openly available on “Zenodo” at https://doi.org/10.1080/20964471.2022.2094926, reference number 6634479 Version v1.0.2.