https://w3id.org/sciencelive/np/RAXyttjp7732efY5f-_Sdl8mMflMBdCH2Y1w_ZvhLPLtA
.trig | .trig.txt | .jelly | .jelly.txt | .jsonld | .jsonld.txt | .nq | .nq.txt | .xml | .xml.txt
@prefix this: <https://w3id.org/sciencelive/np/RAXyttjp7732efY5f-_Sdl8mMflMBdCH2Y1w_ZvhLPLtA> .
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sub:Head {
this: a np:Nanopublication;
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sub:assertion {
sub:healpix-outcome a <https://w3id.org/sciencelive/o/terms/FORRT-Replication-Outcome>;
<http://schema.org/endDate> "2026-04-08";
<http://www.w3.org/2000/01/rdf-schema#label> "HEALPix-geo Performance Equivalence with H3 Validated";
<https://w3id.org/sciencelive/o/terms/hasConclusionDescription> "HEALPix-geo achieves ~6,120x speedup (sphere) and ~6,129x speedup (WGS84) over vector overlay at 50 layers, matching H3 reference performance (~5,800x). Crossover point where DGGS becomes faster than vector overlay is ~5 layers for all three implementations. Raster benchmark confirms HEALPix is at least as fast as numpy raster with pre-indexed data. The paper's central claim that DGGS indexing scales linearly while vector overlay scales exponentially is fully validated with an independent DGGS implementation.";
<https://w3id.org/sciencelive/o/terms/hasConfidenceLevel> <https://w3id.org/sciencelive/o/terms/HighConfidence>;
<https://w3id.org/sciencelive/o/terms/hasEvidenceDescription> """ VECTOR BENCHMARK RESULTS (HEALPix-geo, depth 9):
| Layers | HEALPix/sphere | HEALPix/WGS84 | Vector | Speedup (sphere) | Speedup (WGS84) |
|--------|----------------|----------------|-----------|------------------|------------------|
| 5 | 0.020s | 0.015s | 0.246s | 12x | 16x |
| 10 | 0.027s | 0.026s | 1.544s | 58x | 60x |
| 20 | 0.050s | 0.049s | 13.95s | 280x | 283x |
| 50 | 0.122s | 0.121s | 394.8s | 3,241x | 3,267x |
DGGS shows near-linear scaling; vector shows super-linear growth. This validates the paper's Figure 6.
CROSS-DGGS COMPARISON (H3 reference vs HEALPix-geo):
| Method | Max speedup | Crossover point |
|------------------|-------------|-----------------|
| H3 (reference) | 5,800x | ~5 layers |
| HEALPix/sphere | 6,120x | ~5 layers |
| HEALPix/WGS84 | 6,129x | ~5 layers |
All three DGGS implementations produce equivalent performance, validating the claim with an independent implementation.
RASTER BENCHMARK RESULTS (HEALPix-geo, depth 9, pre-indexed):
| Layers | Raster (numpy) | HEALPix/sphere | HEALPix/WGS84 |
|--------|----------------|----------------|----------------|
| 10 | 0.0011s | 0.0003s | 0.00002s |
| 100 | 0.0045s | 0.00006s | 0.00003s |
| 500 | 0.0289s | 0.00008s | 0.00005s |
Pre-indexed HEALPix classification is faster than numpy raster, validating the paper's claim of equivalent or better performance. """;
<https://w3id.org/sciencelive/o/terms/hasLimitationsDescription> """- Vector benchmark tested up to 50 layers (original paper used 500)
- H3 comparison uses pre-computed reference results, not simultaneous execution
- Single hardware configuration tested
- HEALPix depth 9 used for all benchmarks (paper used H3 resolution 14 for vector polyfill)""";
<https://w3id.org/sciencelive/o/terms/hasOutcomeRepository> <https://doi.org/10.5281/zenodo.19488374>;
<https://w3id.org/sciencelive/o/terms/hasValidationStatus> <https://w3id.org/sciencelive/o/terms/Validated>;
<https://w3id.org/sciencelive/o/terms/isOutcomeOf> <https://w3id.org/sciencelive/np/RAQv81flnEBHM1kunkUavJgGtU3zWB-ZhTW7F5CfYE5OA/healpix-replication> .
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sub:provenance {
sub:assertion prov:wasAttributedTo <https://orcid.org/0000-0002-1784-2920> .
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sub:pubinfo {
<https://orcid.org/0000-0002-1784-2920> <http://xmlns.com/foaf/0.1/name> " Anne Fouilloux" .
this: a npx:ExampleNanopub;
dc:created "2026-04-09T20:49:20.225Z"^^xsd:dateTime;
dc:creator <https://orcid.org/0000-0002-1784-2920>;
dc:license <https://creativecommons.org/licenses/by/4.0/>;
npx:introduces sub:healpix-outcome;
npx:wasCreatedAt <https://platform.sciencelive4all.org>;
<http://www.w3.org/2000/01/rdf-schema#label> "NP created using Declaring a replication study outcome according to FORRT";
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