<p>Large-scale banded vegetation patterns are a well-documented phenomenon in many semi-arid ecosystems. Most theoretical efforts have focused on understanding spatially regular patterns; however, field observations reveal that the spatial distribution of vegetation is often irregular. The laws governing these patterns remain unknown. We show through remote sensing data analysis that the width of the bands that constitute the vegetation patterns obeys a q-Gaussian distribution. Likewise, the spectral density of the vegetation patterns follows an exponential-law decay at sub-wavelengths. These results do not depend on the type of plants nor the type of soil, and can be observed across different landscapes. Furthermore, the observations are reproduced by employing a fully deterministic model for the biomass. Our results reveal the statistical laws that govern the irregularities in banded vegetation patterns.</p>

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Statistical laws of banded vegetation patterns in heterogeneous environments

  • Eduardo A. Droguett-Mora,
  • Belén Hidalgo-Ogalde,
  • Marcel G. Clerc,
  • Mustapha Tlidi

摘要

Large-scale banded vegetation patterns are a well-documented phenomenon in many semi-arid ecosystems. Most theoretical efforts have focused on understanding spatially regular patterns; however, field observations reveal that the spatial distribution of vegetation is often irregular. The laws governing these patterns remain unknown. We show through remote sensing data analysis that the width of the bands that constitute the vegetation patterns obeys a q-Gaussian distribution. Likewise, the spectral density of the vegetation patterns follows an exponential-law decay at sub-wavelengths. These results do not depend on the type of plants nor the type of soil, and can be observed across different landscapes. Furthermore, the observations are reproduced by employing a fully deterministic model for the biomass. Our results reveal the statistical laws that govern the irregularities in banded vegetation patterns.