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A minimal model of soil water–vegetation interactions forced by stochastic rainfall in water-limited ecosystems

Author

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  • De Michele, C.
  • Vezzoli, R.
  • Pavlopoulos, H.
  • Scholes, R.J.

Abstract

A minimal model of soil water–vegetation interaction in dryland ecosystems is developed as a vehicle to show how stochastic differential equations can be applied to this problem. In contrast to previous works, which assume a constant rainfall, the system is forced using stochastic rainfall, and the stationary probability distributions of the soil water content and the vegetation density are derived analytically. Thence, a sensitivity analysis of the stationary probability distributions on rainfall and model parameters has been carried out. This analysis points out the influence of the rainfall process, soil and vegetation properties on the stationary probability distributions of soil water and vegetation. The approach can potentially be extended to address more complex models.

Suggested Citation

  • De Michele, C. & Vezzoli, R. & Pavlopoulos, H. & Scholes, R.J., 2008. "A minimal model of soil water–vegetation interactions forced by stochastic rainfall in water-limited ecosystems," Ecological Modelling, Elsevier, vol. 212(3), pages 397-407.
    • Handle: RePEc:eee:ecomod:v:212:y:2008:i:3:p:397-407
    DOI: 10.1016/j.ecolmodel.2007.10.035
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    Cited by:

    1. Accatino, Francesco & De Michele, Carlo, 2013. "Humid savanna–forest dynamics: A matrix model with vegetation–fire interactions and seasonality," Ecological Modelling, Elsevier, vol. 265(C), pages 170-179.
    2. Turner, Benjamin L. & Kodali, Srinadh, 2020. "Soil system dynamics for learning about complex, feedback-driven agricultural resource problems: model development, evaluation, and sensitivity analysis of biophysical feedbacks," Ecological Modelling, Elsevier, vol. 428(C).
    3. Avanthi Deshani Igalavithana & Yong Sik Ok & Nabeel Khan Niazi & Muhammad Rizwan & Mohammad I. Al-Wabel & Adel R. A. Usman & Deok Hyun Moon & Sang Soo Lee, 2017. "Effect of Corn Residue Biochar on the Hydraulic Properties of Sandy Loam Soil," Sustainability, MDPI, vol. 9(2), pages 1-10, February.
    4. Muñoz, Estefanía & Ochoa, Andrés & Poveda, Germán & Rodríguez-Iturbe, Ignacio, 2020. "Probabilistic soil moisture dynamics of water- and energy-limited ecosystems," Earth Arxiv au4tb, Center for Open Science.

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