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DOI 10.1073/pnas.2610711123

Медицинская библиотека · Proceedings of the National Academy of Sciences of the United States of America · 2026

Density-dependent aggregation underlies spatial self-organization in coastal dunes.

Berghuis Paul M J, Siteur Koen, Reijers Valérie C, Mayor Angeles G, van der Heide Tjisse, van de Koppel Johan, Rietkerk Max

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Аннотация

Across coastal ecosystems, habitat-forming organisms interact with wind and water to generate biogeomorphic feedbacks that produce spatially patterned landscapes. Such spatial patterns can emerge through different self-organizing mechanisms, with contrasting implications for ecosystem resilience. Here, we test whether spatial dynamics in developing coastal dunes are better explained by scale-dependent feedback or by density-dependent aggregation (DDA), the latter being a more recently proposed mechanism of spatial self-organization. Using high-resolution aerial imagery and coupled time series of elevation, we tracked the spatial dynamics of dune-grass patches and sand accumulation during early dune development. Rather than converging toward a dominant size or spacing, both dune-grass patches and the dune bodies they collectively form coarsened through time, with self-similar size distributions shifting toward larger scales. Sand accumulation was disproportionately concentrated in already-dense vegetation, with a density-growth relationship that changes sign at a critical threshold. Together, these findings are consistent with DDA rather than scale-dependent feedback as the dominant mechanism of spatial self-organization in developing coastal dunes. The resulting density-growth relationship implies threshold-dependent resilience to local disturbances. Once local vegetation density falls below a critical point, decline is self-reinforcing rather than self-dampening, with direct consequences for how dune disturbance and recovery are understood and managed.

Для цитирования: Berghuis Paul M J, Siteur Koen, Reijers Valérie C, Mayor Angeles G, van der Heide Tjisse, van de Koppel Johan, Rietkerk Max. Density-dependent aggregation underlies spatial self-organization in coastal dunes.. Proceedings of the National Academy of Sciences of the United States of America. 2026. DOI: 10.1073/pnas.2610711123.
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