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Mathematical modeling of complex forest ecosystems: impacts of deforestation

Abstract : We propose an innovative mathematical model for studying the dynamics of a complex network of forest ecosystems, in which two forest entities interact which each other through water exchanges. Our model reproduces a recently analyzed principle of constant precipitation quantity over densely forested areas. We perform a stability and bifurcation analysis and show that the distance separating two forest ecosystems can attract a part of the network to an extinction state. We incorporate a randomly generated perturbation modeling deforestation and investigate the effect of the level of deforestation on the equilibrium states of the network. We also exhibit a type of synchronization in the case of densely distributed forest ecosystems.
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https://hal.archives-ouvertes.fr/hal-02496187
Contributor : Guillaume Cantin <>
Submitted on : Monday, March 2, 2020 - 5:58:50 PM
Last modification on : Thursday, March 5, 2020 - 1:23:31 AM
Long-term archiving on: : Wednesday, June 3, 2020 - 4:32:27 PM

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Guillaume Cantin, Nathalie Verdière. Mathematical modeling of complex forest ecosystems: impacts of deforestation. 2020. ⟨hal-02496187⟩

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