River Meandering as a Self-Organization Process

@article{Stolum1996RiverMA,
  title={River Meandering as a Self-Organization Process},
  author={H. Stolum},
  journal={Science},
  year={1996},
  volume={271},
  pages={1710 - 1713}
}
Simulations of freely meandering rivers and empirical data show that the meandering process self-organizes the river morphology, or planform, into a critical state characterized by fractal geometry. The meandering process oscillates in space and time between a state in which the river planform is ordered and one in which it is chaotic. Clusters of river cutoffs tend to cause a transition between these two states and to force the system into stationary fluctuations around the critical state. 
River meander behaviour and instability: a framework for analysis
Recent empirical and theoretical work on river meanders suggests that instability is inherent. Within this context, an occurrence of multiple cut-offs could be interpreted as a clustering associatedExpand
Entropy and river meander planform
This study departs from the hypothesis that the often striifing geometric similarity and regularity of meanders is the result of the second law of thermodynamics applied to open dissipative systems.Expand
Long‐term river meandering as a part of chaotic dynamics? A contribution from mathematical modelling
In the present contribution we focus our attention on the possible signatures of a chaotic behaviour or a self-organized criticality state triggered in river meandering dynamics by repeatedExpand
PERCOLATION THEORY APPLIED TO SIMULATED MEANDER BELT SANDBODIES
Abstract The evolution of meander belts is simulated using a single-channel model of freely meandering dynamics with constant discharge and no avulsion. This means that lateral migration of the riverExpand
Significance of cutoff in meandering river dynamics
[1] The occurrence of cutoff events, although sporadic, is a key component in the complex dynamics of meandering rivers. In the present work, we show that cutoff has a twofold role: (1) It removesExpand
Complexity, self-organisation and variation in behaviour in meandering rivers
River meanders are natural features on the surface of Earth that present some degree of regularity of form. They range from being highly dynamic to being stable under present conditions. ConventionalExpand
On the long-term behavior of meandering rivers
In spite of notable advances in the description of river morphodynamics, the long-term dynamics of meandering rivers is still an open question, in particular, regarding the existence of a possibleExpand
Process–form linkages in meander morphodynamics
Meandering rivers are one of the most dynamic earth-surface systems. They play an important role in terrestrial-sediment fluxes, landscape evolution, and the dynamics of riverine ecosystems.Expand
Are process nonlinearities encoded in meandering river planform morphology
Meandering river planform evolution is driven by the interaction of local nonlinear processes and cutoff dynamics. Despite the known nonlinear dynamics governing the evolution of meandering rivers,Expand
Nonlinear analysis of the geometry of meandering rivers
[1] The geometry of four meandering rivers has been investigated to detect linear and nonlinear links in their planimetry. To this aim, some robust nonlinearity tests—DVS plots, reversibility tests,Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 24 REFERENCES
A chaos model of meandering rivers
A meandering river is a nonlinear dynamic system, and fractal geometry describes well the meander bends of such rivers. Based on a qualitative, sedimentological model of the process of meandering, aExpand
Fractal sinuosity of stream channels
Analysis of a diverse set of twelve stream channel planforms indicates that at scales relevant to river meandering, river traces are most reasonably treated as fractal curves. The atypically highExpand
Self-organized criticality: An explanation of the 1/f noise.
We show that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point. Flicker noise, or 1/f noise, can be identified with the dynamics of the criticalExpand
Avalanches and 1/f noise in evolution and growth models.
We formally establish the relationship between spatial fractal behavior and long-range temporal correlations for a broad range of self-organized (and not self-organized) critical phenomena includingExpand
Spatio-temporal intermittency in coupled map lattices
Abstract The transition to turbulence in a one-dimensional array of maps coupled by diffusion is shown to display critical properties resembling those of directed percolation. The analogy isExpand
Exact results for spatiotemporal correlations in a self-organized critical model of punctuated equilibrium.
TLDR
A self-organized critical model of punctuated equilibrium with many internal degrees of freedom per site proves the existence of simple power laws with critical exponents that verify general scaling relations for nonequilibrium phenomena. Expand
Multivariate characterization of meandering
Abstract A suite of 40 morphometric variables has been measured on 57 sections of freely meandering channels from 33 rivers. These objective variables are computed from digitized traces of theExpand
River channel adjustment to meander cutoffs on the River Bollin and River Dane, northwest England
Morphological adjustment of a channel after cutoff should be expected, but rarely has the mode and timescale of adjustment in natural channels been measured. Four natural cutoffs which have occurredExpand
Bend theory of river meanders. Part 1. Linear development
Instability of the alternate-bar type in straight channels has long been identified as the cause of fluvial meandering. The condition of inerodible sidewalls, however, does not allow a meanderingExpand
On the time development of meander bends
According to the theory of Ikeda, Parker & Sawai (1981), meander migration rate at a point depends on a convolution integral of channel curvature from that point upstream. The problem can beExpand
...
1
2
3
...