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Dryland vegetation pattern dynamics driven by inertial effects and secondary seed dispersal

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  • Consolo, Giancarlo
  • Grifó, Gabriele
  • Valenti, Giovanna

Abstract

This manuscript tackles the study of vegetation pattern dynamics driven by inertial effects and secondary seed dispersal. To achieve this goal, an hyperbolic extension of the classical parabolic Klausmeier model of vegetation, generally used to predict the formation of banded vegetation along the slopes of semiarid environments, has been here considered together with an additional advective term mimicking the downslope motion of seeds. Linear stability analyses have been carried out to inspect the dependence of the wave instability locus on the model parameters, with particular emphasis on the role played by inertial time and seed advection speed. Moreover, periodic travelling wave solutions are taken into account to better characterize modulus and direction of the migration speed of striped vegetation patterns. Theoretical predictions are corroborated by numerical Investigations and ecological implications are also discussed. In particular, it is highlighted how the hyperbolic nature of the model may provide possible justifications about some controversial field observations.

Suggested Citation

  • Consolo, Giancarlo & Grifó, Gabriele & Valenti, Giovanna, 2022. "Dryland vegetation pattern dynamics driven by inertial effects and secondary seed dispersal," Ecological Modelling, Elsevier, vol. 474(C).
    • Handle: RePEc:eee:ecomod:v:474:y:2022:i:c:s0304380022002721
    DOI: 10.1016/j.ecolmodel.2022.110171
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    References listed on IDEAS

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    1. Sohoulande Djebou, Dagbegnon C. & Singh, Vijay P., 2015. "Retrieving vegetation growth patterns from soil moisture, precipitation and temperature using maximum entropy," Ecological Modelling, Elsevier, vol. 309, pages 10-21.
    2. Ursino, Nadia & Cristina Rulli, M., 2010. "Combined effect of fire and water scarcity on vegetation patterns in arid lands," Ecological Modelling, Elsevier, vol. 221(19), pages 2353-2362.
    3. Consolo, Giancarlo & Valenti, Giovanna, 2019. "Secondary seed dispersal in the Klausmeier model of vegetation for sloped semi-arid environments," Ecological Modelling, Elsevier, vol. 402(C), pages 66-75.
    4. Giancarlo Consolo & Gabriele Grifó, 2022. "Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains," Partial Differential Equations and Applications, Springer, vol. 3(5), pages 1-32, October.
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    Cited by:

    1. Currò, C. & Grifò, G. & Valenti, G., 2023. "Turing patterns in hyperbolic reaction-transport vegetation models with cross-diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Gabriele Grifò, 2023. "Vegetation Patterns in the Hyperbolic Klausmeier Model with Secondary Seed Dispersal," Mathematics, MDPI, vol. 11(5), pages 1-14, February.

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