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Dissipative systems: Implications for geomorphology

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TLDR
In this article, it is suggested that geomorphological systems containing bifurcations will have both deterministic (universal and necessary) and probabilistic (historical happenstance) elements; they will have more than one solution (configuration) and this fact calls into question notions of process domains leading to the development of characteristic forms; and they will possess varying degrees of susceptibility to change induced by fluctuations.
Abstract
A recent revolution in the study of nonlinear dynamical systems in the physical sciences has shown the worth of regarding systems as dissipative. The nature of dissipative systems in the physical sciences is briefly described by reference to process equations, bifurcations, and fluctuations. Some speculations are then made concerning the implications of dissipative system theory for geomorphology. It is suggested that geomorphological systems containing bifurcations will have both deterministic (universal and necessary) and probabilistic (historical happenstance) elements; they will have more than one solution (configuration) and this fact calls into question notions of process domains leading to the development of characteristic forms; they will possess varying degrees of susceptibility to change induced by fluctuations; and they will respond differently to local, regional, and global fluctuations. Kf,Y WORDS Bifurcation Catastrophe Cataclysm Dissipative system Geomorphological systems Thresholds

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A coupled channel network growth and hillslope evolution model: 1. Theory

TL;DR: In this paper, the authors present a model of the long-term evolution of catchments, the growth of their drainage networks, and the changes in elevations within both the channels and the hillslopes.
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Reciprocal interactions and adjustments between fluvial landforms and vegetation dynamics in river corridors: A review of complementary approaches

TL;DR: In this paper, the authors present a detailed literature review of fluvial geomorphology, riparian plant ecology and hydraulic engineering knowledge, and propose a "fluvial biogeomorphic succession" concept.
Journal ArticleDOI

Sources of nonlinearity and complexity in geomorphic systems

TL;DR: It is clear that no nonlinear formalism (and, as of yet, no other formalism) provides a universal meta-explanation for geomorphology, and methods and theories based on or grounded in complex nonlinear dynamics are useful to geomorphologists.
Journal ArticleDOI

Large-scale geomorphology: Classical concepts reconciled and integrated with contemporary ideas via a surface processes model

TL;DR: In this article, a surface processes model (SPM) is used to investigate the response of a surface process model to tectonic forcing, and the authors show that the response time and the transfer function as a function of scale characterize the model behavior.
Journal ArticleDOI

A Physical Basis for Drainage Density

TL;DR: In this article, the authors examined the transition point between scaling where unstable channel-forming processes yield to stable diffusive processes, and the difference between processes is embedded in the constitutive relation.
References
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Book

The fluvial system

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The theory of open systems in physics and biology.

TL;DR: An extension and generalization of the principles of physics and physical chemistry, complementing the usual theory of reactions and equilibria in closed systems, and dealing with open systems, their steady states, and the principles governing them are needed.
Book

Theoretical Ecology: Principles and Applications

TL;DR: This chapter discusses the dynamics of single species dynamics, metapopulations and Their Spatial Dynamics, and diversity and stability in ecological communities in the context of climate change and conservation biology.