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Global Analysis of Hack’s Law: Decomposing the Geometric Origins of h > 0.5 Across Scales and Sampling Paradigms


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Created: Apr 29, 2026 at 6:25 a.m. (UTC)
Last updated: Apr 30, 2026 at 3:20 p.m. (UTC) (Metadata update)
Published date: Apr 30, 2026 at 3:20 p.m. (UTC)
DOI: 10.4211/hs.d29b097e15524e13afc61cd229819b96
Citation: See how to cite this resource
Sharing Status: Published
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Abstract

Data and code repository for "Global Analysis of Hack's Law: Decomposing the Geometric Origins of h > 0.5 Across Scales and Sampling Paradigms" (Jiang et al., 2026, submitted to Water Resources Research).

This dataset contains 340,991 globally extracted drainage basins derived from MERIT Hydro (Yamazaki et al., 2019, ~90 m resolution), covering 180°W–180°E, 60°S–85°N. For each basin we provide per-basin Hack's law parameters (exponent h, prefactor
C, R²) computed under five sampling paradigms—along-stem and tributary-junction at both pooled and per-basin scopes, plus independent-outlet fitting—along with 23 environmental covariates spanning terrain, lithology and soil, landform, climate, ectonics, and basin-type categories, and four dimensionless shape descriptors (sinuosity, Schumm elongation ratio, convexity, Gravelius compactness coefficient).

The repository also includes the complete Python pipeline (17 scripts) that reproduces every figure in the manuscript (Fig 1–12 main + Fig A1–A5 appendix), the cached random forest feature-importance results (rf_importance_results_v1.pkl), and a
robustness-check JSON (rf_robustness_results.json) covering cross-fold Spearman ρ, threshold sensitivity, and gradient-boosting cross-validation.

Subject Keywords

Coverage

Spatial

Coordinate System/Geographic Projection:
WGS 84 EPSG:4326
Coordinate Units:
Decimal degrees
Place/Area Name:
Global
North Latitude
85.0000°
East Longitude
180.0000°
South Latitude
-60.0000°
West Longitude
-180.0000°

Temporal

Start Date:
End Date:

Content

Credits

Funding Agencies

This resource was created using funding from the following sources:
Agency Name Award Title Award Number
National Natural Science Foundation of China None 42275019
National Natural Science Foundation of China None 42088101
National Key R&D Program of China None 2024YFC3013302
Open Fund Project for Heavy Rain of China Meteorological Administration None BYKJ2024Z10
Hainan Provincial R&D Program None CXFZ2022J074
Hainan Provincial R&D Program None SCSF202203
Hainan Key Research and Development Project None ZDYF2023SHFZ125

How to Cite

Jiang, L. (2026). Global Analysis of Hack’s Law: Decomposing the Geometric Origins of h > 0.5 Across Scales and Sampling Paradigms, HydroShare, https://doi.org/10.4211/hs.d29b097e15524e13afc61cd229819b96

This resource is shared under the Creative Commons Attribution CC BY.

http://creativecommons.org/licenses/by/4.0/
CC-BY

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