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Computer Vision-Based Biomass Estimation for Invasive Plants
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From single-scale to multi-scale Turing patterns: A two-layer vegetation model.

Sounov Marick1, Nandadulal Bairagi1

  • 1Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata 700032, India.

Chaos (Woodbury, N.Y.)
|June 18, 2026
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Summary

Dryland vegetation patterns arise from distinct plant rooting strategies. Shallow roots create large-scale patterns, while deep roots form fine-scale clusters, leading to nested structures. This research explores multiscale pattern formation in arid environments.

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Area of Science:

  • Ecology
  • Environmental Science
  • Mathematical Modeling

Background:

  • Dryland ecosystems display complex vegetation patterns across scales.
  • These patterns result from interactions between plants, soil water, and climate.
  • Understanding these multiscale patterns is crucial for arid land management.

Purpose of the Study:

  • To investigate the ecological origins of multiscale vegetation pattern formation in drylands.
  • To develop and utilize a two-layer vegetation model incorporating soil heterogeneity and plasticity.
  • To explore how different rooting strategies contribute to observed spatial structures.

Main Methods:

  • Developed a two-layer vegetation model with vertical soil heterogeneity.
  • Incorporated phenotypic plasticity in rooting depth for plant strategies.
  • Simulated vegetation patterns under various precipitation regimes and coupling scenarios.

Main Results:

  • Shallow-rooted plants generated large-scale patterns exploiting topsoil moisture.
  • Deep-rooted plants formed fine-scale clusters accessing subsoil water.
  • The interaction of these strategies produced nested, robust spatial structures.

Conclusions:

  • Multiscale vegetation organization emerges from water infiltration, evaporation, and root investment.
  • The model mechanistically realizes Walter's two-layer hypothesis.
  • Multiscale patterns are likely adaptive responses to water limitation in drylands.