Geophysical Research Letters· 2026Q1
Fractal Dimension of Shallow Cumulus Cloud Boundaries Beyond Bulk Fractal Scaling
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- Q1SCImago
- 2026year
Short summary
Shallow cumulus cloud boundaries are more complex than previously thought, with larger clouds showing greater irregularity and a stronger link to precipitation, according to a new fractal analysis method.
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Key points
- The box-counting fractal dimension method provides a more accurate measure of shallow cumulus cloud boundary complexity than the bulk area-perimeter method.
- Larger clouds display higher box-counting dimensions, signifying greater boundary heterogeneity and deviation from idealized scaling.
- Wind affects cloud morphology differently based on size, smoothing small clouds while increasing complexity in larger ones.
- Box-counting dimension shows a stronger correlation with precipitation-related properties than the bulk dimension.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract Cloud boundaries reflect turbulent mixing and cloud–environment interactions, but their geometric complexity remains poorly quantified. Here, we investigate the complexity of shallow cumulus cloud edge using two fractal approaches: the bulk area–perimeter method and the individual‐cloud box‐counting method. Using large‐eddy simulations, we find that the box‐counting dimension better captures boundary complexity by resolving cloud‐scale irregularities, whereas the bulk dimension smooths individual morphological variability. Larger clouds exhibit higher box‐counting dimensions and increased deviations from idealized stochastic self‐similar scaling, indicating increasing boundary heterogeneity with cloud size and shape complexity. Wind induces scale‐dependent morphological responses, smoothing small clouds while enhancing boundary complexity in larger clouds through competing dynamical effects. Moreover, box‐counting dimension shows a stronger association with precipitation‐related properties, suggesting a closer link between boundary evolution and cloud processes. These results highlight individual‐cloud fractal analysis as a useful framework for quantifying shallow cumulus complexity and its environmental controls.
The authors' abstract, as published at the source. Geophysical Research Letters, 2026 · DOI ↗
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Field: Atmospheric Science
Atmospheric ScienceEarth and Planetary Sciences