Parametric transitions between bare and vegetated states in water-driven patterns
Parametric transitions between bare and vegetated states in water-driven patterns
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DOI：
10.1073/pnas.1721765115
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发表时间：
2018-08-07
影响因子：
11.1
通讯作者：
Camporeale, Carlo
中科院分区：
文献类型：
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作者：
Bertagni, Matteo Bernard;Perona, Paolo;Camporeale, Carlo
植被蔓延和格局形成的条件是数学框架，通过分析，包括三个基本过程：流动随机性，植被动力学和泥沙输运。流动不稳定性包括通过泊松随机过程，植被动态出现作为一个次要的不稳定性，这是Floquet理论解决。结果表明，该模型捕捉到的物理条件预示着裸露和植被河流状态之间的过渡，其中的非线性形成和增长的有限交替酒吧占中心流形投影。这铺平了道路，以了解在人类世的人引起的和自然起源的古生代（泥盆纪植物假说）以来的古地貌风格的变化。
Conditions for vegetation spreading and pattern formation are mathematically framed through an analysis encompassing three fundamental processes: flow stochasticity, vegetation dynamics, and sediment transport. Flow unsteadiness is included through Poisson stochastic processes whereby vegetation dynamics appears as a secondary instability, which is addressed by Floquet theory. Results show that the model captures the physical conditions heralding the transition between bare and vegetated fluvial states where the nonlinear formation and growth of finite alternate bars are accounted for by Center Manifold Projection. This paves the way to understand changes in biogeomorphological styles induced by man in the Anthropocene and of natural origin since the Paleozoic (Devonian plant hypothesis).