ArticleProceedings of the National Academy of Sciences of the United States of America2023
The hidden order of Turing patterns in arid and semi-arid vegetation ecosystems.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 8 papers.
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8 citing papers in PubMed.
- Density-dependent aggregation underlies spatial self-organization in coastal dunes.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Catalysts and inhibitors of critical transitions in ecological systems.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Persistent Homology Classifies Parameter Dependence of Patterns in Turing Systems.Bulletin of mathematical biology · 2025Article
- Causes and consequences of disordered hyperuniformity in global drylands.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Eco-Inspired terraform networks emerge from material self-organization.Scientific reports · 2025Article
- Nonequilibrium hyperuniform states in active turbulence.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Article
- Self-organized disordered vegetation patterns with hidden order in arid ecosystems.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
Corrections and comments
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- Erratum issued
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1 author.
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Abstract
Vegetation Turing patterns play a critical role in the ecological functioning of arid and semi-arid ecosystems. However, the long-range spatial features of these patterns have been neglected compared to short-range features like patch shape and spatial wavelength. Drawing inspiration from hyperuniform structures in material science, we find that the arid and semi-arid vegetation Turing pattern exhibits long-range dispersion similar to hyperuniformity. As the degree of hyperuniformity of the vegetation Turing pattern increases, so does the water-use efficiency of the vegetation. This finding supports previous studies that suggest that Turing patterns represent a spatially optimized self-organization of ecosystems for water acquisition. The degree of hyperuniformity of Turing-type ecosystems exhibits significant critical slowing down near the tipping point, indicating that these ecosystems have non-negligible transient dynamical behavior. Reduced rainfall not only decreases the resilience of the steady state of the ecosystem but also slows down the rate of spatial optimization of water-use efficiency in long transient regimes. We propose that the degree of hyperuniformity indicates the spatial resilience of Turing-type ecosystems after strong, short-term disturbances. Spatially heterogeneous disturbances that reduce hyperuniformity lead to longer recovery times than spatially homogeneous disturbances that maintain hyperuniformity.
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