Scaling behaviour of braided active channels: a Taylor’s power law approach

[1]  X. Heping Multifractals , 2020, Fractals in Rock Mechanics.

[2]  J. A. Méndez-Bermúdez,et al.  Scaling and self-similarity for the dynamics of a particle confined to an asymmetric time-dependent potential well. , 2019, Physical review. E.

[3]  A. Yeates,et al.  Quantifying reconnective activity in braided vector fields. , 2018, Physical review. E.

[4]  James Brasington,et al.  Numerical Modelling of Braided River Morphodynamics: Review and Future Challenges , 2016 .

[5]  S. Bartolo,et al.  Simple scaling analysis of active channel patterns in Fiumara environment , 2015 .

[6]  D. Jerolmack,et al.  Diffusive evolution of experimental braided rivers. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Bent Jørgensen,et al.  Taylor's power law and fluctuation scaling explained by a central-limit-like convergence. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  G. Severino,et al.  A Note on the Apparent Conductivity of Stratified Porous Media in Unsaturated Steady Flow Above a Water Table , 2011, Transport in Porous Media.

[9]  P. Ashmore,et al.  Experimental analysis of braided channel pattern response to increased discharge , 2009 .

[10]  Francesco Dell'Accio,et al.  Approximations on the Peano river network: application of the Horton-Strahler hierarchy to the case of low connections. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Gerardo Severino,et al.  Modelling Water Flow and Solute Transport in Heterogeneous Unsaturated Porous Media , 2009 .

[12]  Maria Gabriella Signorini,et al.  A blind method for the estimation of the Hurst exponent in time series: theory and application. , 2008, Chaos.

[13]  J. Kertész,et al.  Fluctuation scaling in complex systems: Taylor's law and beyond , 2007, 0708.2053.

[14]  P. Ashmore Laboratory modelling of gravel braided stream morphology , 2007 .

[15]  J. Harding Braided river ecology A literature review of physical habitats and aquatic invertebrate communities , 2007 .

[16]  R. Gaudio,et al.  Fixed-mass multifractal analysis of river networks and braided channels. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  A. Santini,et al.  On the effective hydraulic conductivity in mean vertical unsaturated steady flows , 2005 .

[18]  J. Coeurjolly,et al.  HURST EXPONENT ESTIMATION OF LOCALLY SELF-SIMILAR GAUSSIAN PROCESSES USING SAMPLE QUANTILES , 2005, math/0506290.

[19]  G. Rosatti Validation of the physical modeling approach for braided rivers , 2002 .

[20]  M. Morgan,et al.  Canterbury strategic water study , 2002 .

[21]  D. Hicks,et al.  Braided channels: Self‐similar or self‐affine? , 2002 .

[22]  Daniel M. Tartakovsky,et al.  Theoretical interpretation of a pronounced permeability scale effect in unsaturated fractured tuff , 2002 .

[23]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[24]  P. Dodds,et al.  Geometry of river networks. II. Distributions of component size and number. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  P. Dodds,et al.  Geometry of river networks. III. Characterization of component connectivity. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  P. Dodds,et al.  Geometry of river networks. I. Scaling, fluctuations, and deviations. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  D. Sornette Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools , 2000 .

[28]  P. Bruns,et al.  Long-term storage. , 2000, Methods in cell biology.

[29]  S. P. Neuman,et al.  Anisotropy, lacunarity, and upscaled conductivity and its autocovariance in multiscale random fields with truncated power variograms , 1999 .

[30]  K. Bassler,et al.  Braided Rivers and Superconducting Vortex Avalanches , 1999, cond-mat/9901228.

[31]  P. Dodds,et al.  Unified view of scaling laws for river networks. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[32]  Efi Foufoula-Georgiou,et al.  Validation of Braided‐Stream Models: Spatial state‐space plots, self‐affine scaling, and island shapes , 1998 .

[33]  E. Foufoula‐Georgiou,et al.  Anisotropic scaling in braided rivers: An integrated theoretical framework and results from application to an experimental river , 1998 .

[34]  Paul Meakin,et al.  Fractals, scaling, and growth far from equilibrium , 1998 .

[35]  I. Simonsen,et al.  Determination of the Hurst exponent by use of wavelet transforms , 1997, cond-mat/9707153.

[36]  Leonard M. Sander,et al.  Scaling and river networks: A Landau theory for erosion , 1997 .

[37]  Nicolas D. Georganas,et al.  On self-similar traffic in ATM queues: definitions, overflow probability bound, and cell delay distribution , 1997, TNET.

[38]  D. Lohse,et al.  Application of extended self-similarity in turbulence , 1997, chao-dyn/9704015.

[39]  Maritan,et al.  Scaling laws for river networks. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[40]  Succi,et al.  Extended self-similarity in turbulent flows. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[41]  Robin P. Fawcett,et al.  Theory and application , 1988 .

[42]  B. Mandelbrot Self-Affine Fractals and Fractal Dimension , 1985 .

[43]  Alan D. Howard,et al.  Topological and Geometrical Properties of Braided Streams , 1970 .

[44]  J. R. Wallis,et al.  Some long‐run properties of geophysical records , 1969 .

[45]  L. R. Taylor,et al.  Aggregation, Variance and the Mean , 1961, Nature.

[46]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .