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Does Wind Affect the Orientation of Vegetation Stripes? A Copula‐Based Mixture Model for Axial and Circular Data

Author

Listed:
  • Marco Mingione
  • Francesco Lagona
  • Priyanka Nagar
  • Francois von Holtzhausen
  • Andriette Bekker
  • Janine Schoombie
  • Peter C. le Roux

Abstract

Motivated by a case study of vegetation patterns, we introduce a mixture model with concomitant variables to examine the association between the orientation of vegetation stripes and wind direction. The proposal relies on a novel copula‐based bivariate distribution for mixed axial and circular observations and provides a parsimonious and computationally tractable approach to examine the dependence of two environmental variables observed in a complex manifold. The findings suggest that dominant winds shape the orientation of vegetation stripes through a mechanism of neighboring plants providing wind shelter to downwind individuals.

Suggested Citation

  • Marco Mingione & Francesco Lagona & Priyanka Nagar & Francois von Holtzhausen & Andriette Bekker & Janine Schoombie & Peter C. le Roux, 2025. "Does Wind Affect the Orientation of Vegetation Stripes? A Copula‐Based Mixture Model for Axial and Circular Data," Environmetrics, John Wiley & Sons, Ltd., vol. 36(5), July.
    • Handle: RePEc:wly:envmet:v:36:y:2025:i:5:n:e70021
    DOI: 10.1002/env.70021
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    References listed on IDEAS

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    1. Imoto, Tomoaki & Abe, Toshihiro, 2021. "Simple construction of a toroidal distribution from independent circular distributions," Journal of Multivariate Analysis, Elsevier, vol. 186(C).
    2. Jose Ameijeiras‐Alonso & Francesco Lagona & Monia Ranalli & Rosa M. Crujeiras, 2019. "A circular nonhomogeneous hidden Markov field for the spatial segmentation of wildfire occurrences," Environmetrics, John Wiley & Sons, Ltd., vol. 30(2), March.
    3. Arthur Pewsey & Eduardo García-Portugués, 2021. "Rejoinder on: Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 76-82, March.
    4. Jarno Vanhatalo & Scott D. Foster & Geoffrey R. Hosack, 2021. "Spatiotemporal clustering using Gaussian processes embedded in a mixture model," Environmetrics, John Wiley & Sons, Ltd., vol. 32(7), November.
    5. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.
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