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Point-pattern analysis reveals clustered and anisotropic spacing of drumlins, suggesting implications for subglacial bed instability.
Direction-resolved point-pattern analysis of 41,702 drumlins from the BRITICE v2 record of Great Britain. Drumlin spacing is strongly anisotropic: isotropic nearest-neighbour statistics are clustered (Clark–Evans R ≤ 1 in all nine coherent fields analysed; bedforms in along-flow trains), while the across-flow pair correlation shows hard-core exclusion and a characteristic transverse spacing λ⊥ ≈ 250 m, of the same order as the drumlin width. Compared with a width-matched hard-rod (Tonks-gas) steric null, the transverse first-neighbour spacing is largely accounted for by steric exclusion, with only weak longer-range periodicity beyond it; the pattern is not hyperuniform. Isotropic spacing regularity is therefore a weak diagnostic of subglacial bed-instability theories. Includes all analysis code, the derived drumlin-centroid dataset and figure-generation scripts.
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Ruqing Chen (2026) studied this question.
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