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The foundational references — Górski et al. 2005 (HEALPix), Sahr et al. 2003 (DGGS framework), Hauffe et al. 2023 (Eco-ISEA3H), Birch et al. 2007 (equal-area for ecology), Kmoch et al. 2022 (DGGS area distortions) — advocate equal-area or DGGS but without quantitative multi-grid comparison and without attention to ML-ecosystem compatibility or ellipsoidal correctness for the integrated regime. This study operationalises the comparison and establishes the baseline." } ], "https://w3id.org/sciencelive/o/terms/hasDiscipline": [ { "@id": "http://www.wikidata.org/entity/Q47041" } ], "https://w3id.org/sciencelive/o/terms/hasMethodologyDescription": [ { "@value": "Eight reproducible Jupyter notebooks aggregate 20,100 Quercus suber GBIF occurrences and synthetic uniform sphere data onto nine grid systems: lat-lon (cautionary), Behrmann, Mollweide, EEA reference grid (LAEA Europe / EPSG:3035), HEALPix-on-sphere, HEALPix-on-WGS84 via authalic-sphere mapping (the GRID4EARTH approach, healpix-geo), rHEALPix, H3, and ISEA3H (DGGRID v8.41 via dggrid4py). Each notebook isolates one fitness criterion: count-bias measurement (notebooks 01–02, 07), cell-shape anisotropy across latitudes (03), 3×3 ML-kernel locality at 65°N, 15°E (04), 3-grid synthetic comparison (05), HEALPix NESTED hierarchical refinement via bit-shift (06), and HEALPix-specific properties — sphere-vs-WGS84 systematic area error via pyproj.Geod, NESTED bit-shift verification, iso-latitude pixelization vs H3 hex tessellation (08). \nAll notebooks executed end-to-end via Snakemake on each commit; deployed as a Jupyter Book; archived on Zenodo (concept DOI 10.5281/zenodo.19848749)." } ], "https://w3id.org/sciencelive/o/terms/hasScopeDescription": [ { "@value": "The full claim is evaluated end-to-end across all six fitness criteria for the integration substrate: equal-area correctness, cell-shape preservation across latitudes, hierarchical-refinement efficiency, ellipsoidal correctness, iso-latitude pixelization, and compatibility with the spherical-CNN / scattering-network / 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