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Riparian vegetation distribution induced by river flow variability: A stochastic approach

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TLDR
In this article, a stochastic model of riparian vegetation ecosystem dynamics forced by random variations in river discharge is proposed, and the analytical expressions of the probability density function of the overall vegetation biomass and its first moments are obtained.
Abstract
[1] Riparian vegetation is part of one of the most diverse and fragile ecotones The key role played by river discharge on the dynamics of riparian vegetation has been widely studied and documented However, although randomness is a fundamental characteristic of river hydrology, very few quantitative vegetation studies take into account the random nature of river discharge Here we propose a stochastic model of riparian vegetation ecosystem dynamics forced by random variations in river discharge The model is solved, and the analytical expressions of the probability density function of the overall vegetation biomass and its first moments are obtained These theoretical results are used to investigate the effect of river hydrology on the distribution of vegetation along the riparian transect transverse to the river In particular, the influence of the type of riparian species and the statistical characteristics of discharge time series are discussed and compared with field observations

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Journal ArticleDOI

Plants as river system engineers

TL;DR: In this paper, the authors acknowledge three research grants/contracts that are supporting their current research on this theme: Grant F/07 040/AP from the Leverhulme Trust, Grant NE/F014597/1 from the Natural Environment Research Council, UK, and the this paperORM collaborative project funded by the European Union Seventh Framework Programme under grant agreement 282656.
Journal ArticleDOI

Changing river channels: the roles of hydrological processes, plants and pioneer fluvial landforms in humid temperate, mixed load, gravel bed rivers.

TL;DR: In this paper, the authors investigate how vegetation dynamics across river margins are governed by hydrological processes that can both promote riparian vegetation growth and disturb and destroy riparian and aquatic vegetation.
Journal ArticleDOI

Theory, methods and tools for determining environmental flows for riparian vegetation: riparian vegetation‐flow response guilds

TL;DR: In this article, the authors propose to organize riparian plants into non-phylogenetic groupings of species with shared traits that are related to components of hydrologic regime: life history, reproductive strategy, morphology, adaptations to fluvial disturbance and adaptations to water availability.
Journal ArticleDOI

A conceptual framework for understanding semi-arid land degradation: ecohydrological interactions across multiple-space and time scales

TL;DR: In this article, an ecohydrological framework is proposed to provide a new direction for the study of land degradation in semi-arid ecosystems, which is based upon the explicit linkage of processes operating over the continuum of temporal and spatial scales by perceiving the ecosystem as a series of structural and functional connections, within which interactions between biotic and abiotic components of the landscape occur.
Journal ArticleDOI

Modeling the interactions between river morphodynamics and riparian vegetation

TL;DR: A review of the main interactions between rivers and riparian vegetation, and their possible modeling can be found in this paper, where both semiquantitative and quantitative models have been proposed to date, considering both multi-and single-thread rivers.
References
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Book

Stochastic processes in physics and chemistry

TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.

Stochastic Processes in Physics and Chemistry

Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.
Journal ArticleDOI

Stochastic Processes in Physics and Chemistry

D Sherrington
- 01 Apr 1983 - 
TL;DR: Van Kampen as mentioned in this paper provides an extensive graduate-level introduction which is clear, cautious, interesting and readable, and could be expected to become an essential part of the library of every physical scientist concerned with problems involving fluctuations and stochastic processes.
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