Articles | Volume 9, issue 3
https://doi.org/10.5194/esurf-9-629-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-9-629-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Rarefied particle motions on hillslopes – Part 4: Philosophy
David Jon Furbish
CORRESPONDING AUTHOR
Department of Earth and Environmental Sciences, Vanderbilt University, Nashville, Tennessee, USA
Tyler H. Doane
Department of Geosciences, University of Arizona, Tucson, Arizona, USA
currently at: Department of Earth and Atmospheric Sciences, Indiana University, Bloomington, Indiana, USA
Related authors
Sarah G. W. Williams and David J. Furbish
Earth Surf. Dynam., 9, 701–721, https://doi.org/10.5194/esurf-9-701-2021, https://doi.org/10.5194/esurf-9-701-2021, 2021
Short summary
Short summary
Particle motions and travel distances prior to deposition on hillslope surfaces depend on a balance of gravitational and frictional forces. We elaborate how particle energy is partitioned and dissipated during travel using measurements of particle travel distances supplemented with high-speed imaging of drop–impact–rebound experiments. Results show that particle shape plays a dominant role in how energy is partitioned during impact with a surface and how far particles travel in two dimensions.
David Jon Furbish, Joshua J. Roering, Tyler H. Doane, Danica L. Roth, Sarah G. W. Williams, and Angel M. Abbott
Earth Surf. Dynam., 9, 539–576, https://doi.org/10.5194/esurf-9-539-2021, https://doi.org/10.5194/esurf-9-539-2021, 2021
Short summary
Short summary
Sediment particles skitter down steep hillslopes on Earth and Mars. Particles gain speed in going downhill but are slowed down and sometimes stop due to collisions with the rough surface. The likelihood of stopping depends on the energetics of speeding up (heating) versus slowing down (cooling). Statistical physics predicts that particle travel distances are described by a generalized Pareto distribution whose form varies with the Kirkby number – the ratio of heating to cooling.
David Jon Furbish, Sarah G. W. Williams, Danica L. Roth, Tyler H. Doane, and Joshua J. Roering
Earth Surf. Dynam., 9, 577–613, https://doi.org/10.5194/esurf-9-577-2021, https://doi.org/10.5194/esurf-9-577-2021, 2021
Short summary
Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in a companion paper (Furbish et al., 2021a), is entirely consistent with measurements of travel distances obtained from laboratory and field-based experiments, supplemented with high-speed imaging and audio recordings that highlight the effects of bumpety-bump particle motions. Particle size and shape, in concert with surface roughness, strongly influence particle energetics and deposition.
David Jon Furbish, Sarah G. W. Williams, and Tyler H. Doane
Earth Surf. Dynam., 9, 615–628, https://doi.org/10.5194/esurf-9-615-2021, https://doi.org/10.5194/esurf-9-615-2021, 2021
Short summary
Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in two companion papers (Furbish et al., 2021a, 2021b), is a maximum entropy distribution. This simply represents the most probable way that a great number of particles become distributed into distance states, subject to a fixed total energetic cost due to frictional effects of particle–surface collisions. The maximum entropy criterion is equivalent to a formal application of Occam's razor.
Shawn M. Chartrand and David Jon Furbish
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2021-16, https://doi.org/10.5194/esurf-2021-16, 2021
Preprint withdrawn
Short summary
Short summary
Sediment particles are transported along the bottom of rivers during floods. Descriptions of the transport process are commonly restricted to the strength of the water flow. In our research we use mathematical theory and data from laboratory experiments to explore whether sediment particles colliding with the river bed can help explain our observations of transport. We learn that particle collisions are likely an important component of the transport process and we offer thoughts for future work.
David Jon Furbish, Rina Schumer, and Amanda Keen-Zebert
Earth Surf. Dynam., 6, 1169–1202, https://doi.org/10.5194/esurf-6-1169-2018, https://doi.org/10.5194/esurf-6-1169-2018, 2018
Short summary
Short summary
We present in this mostly theoretical contribution a systematic treatment of tracer particle mixing in soils. We elaborate the consequences of rarefied (non-continuum) conditions of transport and mixing, and we augment this with numerical analyses that reveal important information not readily apparent in the analytical formulations, including an illustration of the variability in 10Be concentrations and OSL ages of individual particles in soils, with implications for interpreting field data.
Stuart W. D. Grieve, Simon M. Mudd, David T. Milodowski, Fiona J. Clubb, and David J. Furbish
Earth Surf. Dynam., 4, 627–653, https://doi.org/10.5194/esurf-4-627-2016, https://doi.org/10.5194/esurf-4-627-2016, 2016
Short summary
Short summary
High-resolution topographic data are becoming more prevalent, yet many areas of geomorphic interest do not have such data available. We produce topographic data at a range of resolutions to explore the influence of decreasing resolution of data on geomorphic analysis. We test the accuracy of the calculation of curvature, a hillslope sediment transport coefficient, and the identification of channel networks, providing guidelines for future use of these methods on low-resolution topographic data.
Sarah G. W. Williams and David J. Furbish
Earth Surf. Dynam., 9, 701–721, https://doi.org/10.5194/esurf-9-701-2021, https://doi.org/10.5194/esurf-9-701-2021, 2021
Short summary
Short summary
Particle motions and travel distances prior to deposition on hillslope surfaces depend on a balance of gravitational and frictional forces. We elaborate how particle energy is partitioned and dissipated during travel using measurements of particle travel distances supplemented with high-speed imaging of drop–impact–rebound experiments. Results show that particle shape plays a dominant role in how energy is partitioned during impact with a surface and how far particles travel in two dimensions.
David Jon Furbish, Joshua J. Roering, Tyler H. Doane, Danica L. Roth, Sarah G. W. Williams, and Angel M. Abbott
Earth Surf. Dynam., 9, 539–576, https://doi.org/10.5194/esurf-9-539-2021, https://doi.org/10.5194/esurf-9-539-2021, 2021
Short summary
Short summary
Sediment particles skitter down steep hillslopes on Earth and Mars. Particles gain speed in going downhill but are slowed down and sometimes stop due to collisions with the rough surface. The likelihood of stopping depends on the energetics of speeding up (heating) versus slowing down (cooling). Statistical physics predicts that particle travel distances are described by a generalized Pareto distribution whose form varies with the Kirkby number – the ratio of heating to cooling.
David Jon Furbish, Sarah G. W. Williams, Danica L. Roth, Tyler H. Doane, and Joshua J. Roering
Earth Surf. Dynam., 9, 577–613, https://doi.org/10.5194/esurf-9-577-2021, https://doi.org/10.5194/esurf-9-577-2021, 2021
Short summary
Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in a companion paper (Furbish et al., 2021a), is entirely consistent with measurements of travel distances obtained from laboratory and field-based experiments, supplemented with high-speed imaging and audio recordings that highlight the effects of bumpety-bump particle motions. Particle size and shape, in concert with surface roughness, strongly influence particle energetics and deposition.
David Jon Furbish, Sarah G. W. Williams, and Tyler H. Doane
Earth Surf. Dynam., 9, 615–628, https://doi.org/10.5194/esurf-9-615-2021, https://doi.org/10.5194/esurf-9-615-2021, 2021
Short summary
Short summary
The generalized Pareto distribution of particle travel distances on steep hillslopes, as described in two companion papers (Furbish et al., 2021a, 2021b), is a maximum entropy distribution. This simply represents the most probable way that a great number of particles become distributed into distance states, subject to a fixed total energetic cost due to frictional effects of particle–surface collisions. The maximum entropy criterion is equivalent to a formal application of Occam's razor.
Tyler H. Doane, Jon D. Pelletier, and Mary H. Nichols
Earth Surf. Dynam., 9, 317–331, https://doi.org/10.5194/esurf-9-317-2021, https://doi.org/10.5194/esurf-9-317-2021, 2021
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This paper explores how the geometry of rill networks contributes to observed nonlinear relationships between soil loss and hillslope length. This work develops probability functions of geometrical quantities of the networks and then extends the theory to hydraulic variables by relying on well-known relationships. Theory is complemented by numerical modeling on numerical and natural surfaces. Results suggest that the particular arrangement of rill networks contributes to nonlinear relationships.
Shawn M. Chartrand and David Jon Furbish
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2021-16, https://doi.org/10.5194/esurf-2021-16, 2021
Preprint withdrawn
Short summary
Short summary
Sediment particles are transported along the bottom of rivers during floods. Descriptions of the transport process are commonly restricted to the strength of the water flow. In our research we use mathematical theory and data from laboratory experiments to explore whether sediment particles colliding with the river bed can help explain our observations of transport. We learn that particle collisions are likely an important component of the transport process and we offer thoughts for future work.
David Jon Furbish, Rina Schumer, and Amanda Keen-Zebert
Earth Surf. Dynam., 6, 1169–1202, https://doi.org/10.5194/esurf-6-1169-2018, https://doi.org/10.5194/esurf-6-1169-2018, 2018
Short summary
Short summary
We present in this mostly theoretical contribution a systematic treatment of tracer particle mixing in soils. We elaborate the consequences of rarefied (non-continuum) conditions of transport and mixing, and we augment this with numerical analyses that reveal important information not readily apparent in the analytical formulations, including an illustration of the variability in 10Be concentrations and OSL ages of individual particles in soils, with implications for interpreting field data.
Stuart W. D. Grieve, Simon M. Mudd, David T. Milodowski, Fiona J. Clubb, and David J. Furbish
Earth Surf. Dynam., 4, 627–653, https://doi.org/10.5194/esurf-4-627-2016, https://doi.org/10.5194/esurf-4-627-2016, 2016
Short summary
Short summary
High-resolution topographic data are becoming more prevalent, yet many areas of geomorphic interest do not have such data available. We produce topographic data at a range of resolutions to explore the influence of decreasing resolution of data on geomorphic analysis. We test the accuracy of the calculation of curvature, a hillslope sediment transport coefficient, and the identification of channel networks, providing guidelines for future use of these methods on low-resolution topographic data.
Related subject area
Physical: Geomorphology (including all aspects of fluvial, coastal, aeolian, hillslope and glacial geomorphology)
Linear-stability analysis of plane beds under flows with suspended loads
Estimating surface water availability in high mountain rock slopes using a numerical energy balance model
Sediment source and sink identification using Sentinel-2 and a small network of turbidimeters on the Vjosa River
Spatiotemporal bedload transport patterns over two-dimensional bedforms
Ice-buttressing-controlled rock slope failure on a cirque headwall, Lake District, UK
The probabilistic nature of dune collisions in 2D
Shape still matters: rockfall interactions with trees and deadwood in a mountain forest uncover a new facet of rock shape dependency
Earthquake contributions to coastal cliff retreat
Morphologic and morphometric differences between gullies formed in different substrates on Mars: new insights into the gully formation processes
Testing the sensitivity of the CAESAR-Lisflood landscape evolution model to grid cell size
Development of a machine learning model for river bed load
Modeling the spatially distributed nature of subglacial sediment transport and erosion
Confinement width and inflow-to-sediment discharge ratio control the morphology and braiding intensity of submarine channels: insights from physical experiments and reduced-complexity models
The influence of dune lee side shape on time-averaged velocities and turbulence
Synoptic-scale to mesoscale atmospheric circulation connects fluvial and coastal gravel conveyors and directional deposition of coastal landforms in the Dead Sea basin
Initial shape reconstruction of a volcanic island as a tool for quantifying long-term coastal erosion: the case of Corvo Island (Azores)
Geospatial modelling of large-wood supply to rivers: a state-of-the-art model comparison in Swiss mountain river catchments
Mobile evaporite enhances the cycle of physical–chemical erosion in badlands
Revealing the relation between spatial patterns of rainfall return levels and landslide density
Constraints on long-term cliff retreat and intertidal weathering at weak rock coasts using cosmogenic 10Be, nearshore topography and numerical modelling
Impacts of human modifications on material transport in deltas
Evolution of an Alpine proglacial river during 7 decades of deglaciation
Phenomenological model of suspended sediment transport in a small catchment
Alpine hillslope failure in the western US: Insights from the Chaos Canyon landslide, Rocky Mountain National Park USA
Water level fluctuations drive bank instability in a hypertidal estuary
Geotechnical controls on erodibility in fluvial impact erosion
The story of a summit nucleus: hillslope boulders and their effect on erosional patterns and landscape morphology in the Chilean Coastal Cordillera
Pristine levels of suspended sediment in large German river channels during the Anthropocene?
An Arctic delta reduced-complexity model and its reproduction of key geomorphological structures
Marsh induced backwater: the influence of non-fluvial sedimentation on a delta's channel morphology and kinematics
Spatial and temporal variations in rockwall erosion rates around Pigne d’Arolla, Switzerland, derived from cosmogenic 10Be in medial moraines at five adjacent valley glaciers
Development of the morphodynamics on Little Ice Age lateral moraines in 10 glacier forefields of the Eastern Alps since the 1950s
Modeling the inhibition effect of straw checkerboard barriers on wind-blown sand
Exploring the transition between water- and wind-dominated landscapes in Deep Springs, California, as an analog for transitioning landscapes on Mars
Geology and vegetation control landsliding on forest-managed slopes in scarplands
Optimization of passive acoustic bedload monitoring in rivers by signal inversion
On the use of packing models for the prediction of fluvial sediment porosity
Entrainment and deposition of boulders in a gravel bed river
Coupling between downstream variations of channel width and local pool–riffle bed topography
A combined approach of experimental and numerical modeling for 3D hydraulic features of a step-pool unit
Effects of seasonal variations in vegetation and precipitation on catchment erosion rates along a climate and ecological gradient: Insights from numerical modelling
Combining seismic signal dynamic inversion and numerical modeling improves landslide process reconstruction
Building a Bimodal Landscape with Varying Bed Thicknesses in Last Chance Canyon, New Mexico
Response of modern fluvial sediments to regional tectonic activity along the upper Min River, eastern Tibet
Geophysical evidence of massive hyperconcentrated push waves with embedded toma hills caused by the Flims rockslide, Switzerland
Comparison of calibration characteristics of different acoustic impact systems for measuring bedload transport in mountain streams
Automated riverbed material analysis using Deep Learning on underwater images
Episodic sediment supply to alluvial fans: implications for fan incision and morphometry
Failure mode of rainfall-induced landslide of granite residual soil, southeastern Guangxi Province, China
Exploring exogenous controls on short- versus long-term erosion rates globally
Koji Ohata, Hajime Naruse, and Norihiro Izumi
Earth Surf. Dynam., 11, 961–977, https://doi.org/10.5194/esurf-11-961-2023, https://doi.org/10.5194/esurf-11-961-2023, 2023
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We investigated the influence of sediment transport modes on the formation of bedforms using theoretical analysis. The results of the theoretical analysis were verified with published data of plane beds obtained by fieldwork and laboratory experiments. We found that suspended sand particles can promote the formation of plane beds on a fine-grained bed, which suggests that the presence of suspended particles suppresses the development of dunes under submarine sediment-laden gravity currents.
Matan Ben-Asher, Florence Magnin, Sebastian Westermann, Josué Bock, Emmanuel Malet, Johan Berthet, Ludovic Ravanel, and Philip Deline
Earth Surf. Dynam., 11, 899–915, https://doi.org/10.5194/esurf-11-899-2023, https://doi.org/10.5194/esurf-11-899-2023, 2023
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Quantitative knowledge of water availability on high mountain rock slopes is very limited. We use a numerical model and field measurements to estimate the water balance at a steep rock wall site. We show that snowmelt is the main source of water at elevations >3600 m and that snowpack hydrology and sublimation are key factors. The new information presented here can be used to improve the understanding of thermal, hydrogeological, and mechanical processes on steep mountain rock slopes.
Jessica Droujko, Srividya Hariharan Sudha, Gabriel Singer, and Peter Molnar
Earth Surf. Dynam., 11, 881–897, https://doi.org/10.5194/esurf-11-881-2023, https://doi.org/10.5194/esurf-11-881-2023, 2023
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We combined data from satellite images with data measured from a kayak in order to understand the propagation of fine sediment in the Vjosa River. We were able to find some storm-activated and some permanent sources of sediment. We also estimated how much fine sediment is carried into the Adriatic Sea by the Vjosa River: approximately 2.5 Mt per year, which matches previous findings. With our work, we hope to show the potential of open-access satellite images.
Kate C. P. Leary, Leah Tevis, and Mark Schmeeckle
Earth Surf. Dynam., 11, 835–847, https://doi.org/10.5194/esurf-11-835-2023, https://doi.org/10.5194/esurf-11-835-2023, 2023
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Despite the importance of bedforms (e.g., ripples, dunes) to sediment transport, the details of sediment transport on a sub-bedform scale are poorly understood. This paper investigates sediment transport in the downstream and cross-stream directions over bedforms with straight crests. We find that the patterns of bedload transport are highly variable on the sub-bedform scale, which is important for our understanding of the evolution of bedforms with complex crest geometries.
Paul A. Carling, John D. Jansen, Teng Su, Jane Lund Andersen, and Mads Faurschou Knudsen
Earth Surf. Dynam., 11, 817–833, https://doi.org/10.5194/esurf-11-817-2023, https://doi.org/10.5194/esurf-11-817-2023, 2023
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Many steep glaciated rock walls collapsed when the Ice Age ended. How ice supports a steep rock wall until the ice decays is poorly understood. A collapsed rock wall was surveyed in the field and numerically modelled. Cosmogenic exposure dates show it collapsed and became ice-free ca. 18 ka ago. The model showed that the rock wall failed very slowly because ice was buttressing the slope. Dating other collapsed rock walls can improve understanding of how and when the last Ice Age ended.
Paul A. Jarvis, Clement Narteau, Olivier Rozier, and Nathalie M. Vriend
Earth Surf. Dynam., 11, 803–815, https://doi.org/10.5194/esurf-11-803-2023, https://doi.org/10.5194/esurf-11-803-2023, 2023
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Sand dune migration velocity is inversely proportional to dune size. Consequently, smaller, faster dunes can collide with larger, slower downstream dunes. Such collisions can result in either coalescence or ejection, whereby the dunes exchange mass but remain separate. Our numerical simulations show that the outcome depends probabilistically on the dune size ratio, which we describe through an empirical function. Our numerical predictions compare favourably against experimental observations.
Adrian Ringenbach, Peter Bebi, Perry Bartelt, Andreas Rigling, Marc Christen, Yves Bühler, Andreas Stoffel, and Andrin Caviezel
Earth Surf. Dynam., 11, 779–801, https://doi.org/10.5194/esurf-11-779-2023, https://doi.org/10.5194/esurf-11-779-2023, 2023
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Swiss researchers carried out repeated rockfall experiments with rocks up to human sizes in a steep mountain forest. This study focuses mainly on the effects of the rock shape and lying deadwood. In forested areas, cubic-shaped rocks showed a longer mean runout distance than platy-shaped rocks. Deadwood especially reduced the runouts of these cubic rocks. The findings enrich standard practices in modern rockfall hazard zoning assessments and strongly urge the incorporation of rock shape effects.
Colin K. Bloom, Corinne Singeisen, Timothy Stahl, Andrew Howell, and Chris Massey
Earth Surf. Dynam., 11, 757–778, https://doi.org/10.5194/esurf-11-757-2023, https://doi.org/10.5194/esurf-11-757-2023, 2023
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Earthquakes can cause damaging coastal cliff retreat, but we have a limited understanding of how these infrequent events influence multidecadal retreat. This makes hazard planning a challenge. In this study, we use historic aerial images to measure coastal cliff-top retreat at a site in New Zealand. We find that earthquakes account for close to half of multidecadal retreat at this site, and our results have helped us to develop tools for estimating the influence of earthquakes at other sites.
Rishitosh K. Sinha, Dwijesh Ray, Tjalling De Haas, Susan J. Conway, and Axel Noblet
Earth Surf. Dynam., 11, 713–730, https://doi.org/10.5194/esurf-11-713-2023, https://doi.org/10.5194/esurf-11-713-2023, 2023
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Our detailed investigation of Martian gullies formed in different substrates in 29 craters distributed between 30°–75° S latitude suggests that they can be differentiated from one another in terms of (1) morphology and length of alcoves and (2) mean gradient of the gully fans. The comparison between the Melton ratio, alcove length, and fan gradient of Martian and terrestrial gullies suggests that Martian gullies were likely formed by terrestrial debris-flow-like processes in the past.
Christopher J. Skinner and Thomas J. Coulthard
Earth Surf. Dynam., 11, 695–711, https://doi.org/10.5194/esurf-11-695-2023, https://doi.org/10.5194/esurf-11-695-2023, 2023
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Landscape evolution models allow us to simulate the way the Earth's surface is shaped and help us to understand relevant processes, in turn helping us to manage landscapes better. The models typically represent the land surface using a grid of square cells of equal size, averaging heights in those squares. This study shows that the size chosen by the modeller for these grid cells is important, with larger sizes making sediment output events larger but less frequent.
Hossein Hosseiny, Claire C. Masteller, Jedidiah E. Dale, and Colin B. Phillips
Earth Surf. Dynam., 11, 681–693, https://doi.org/10.5194/esurf-11-681-2023, https://doi.org/10.5194/esurf-11-681-2023, 2023
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It is of great importance to engineers and geomorphologists to predict the rate of bed load in rivers. In this contribution, we used a large dataset of measured data and developed an artificial neural network (ANN), a machine learning algorithm, for bed load prediction. The ANN model predicted the bed load flux close to measured values and better than the ones obtained from four standard bed load models with varying degrees of complexity.
Ian Delaney, Leif Anderson, and Frédéric Herman
Earth Surf. Dynam., 11, 663–680, https://doi.org/10.5194/esurf-11-663-2023, https://doi.org/10.5194/esurf-11-663-2023, 2023
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This paper presents a two-dimensional subglacial sediment transport model that evolves a sediment layer in response to subglacial sediment transport conditions. The model captures sediment transport in supply- and transport-limited regimes across a glacier's bed and considers both the creation and transport of sediment. Model outputs show how the spatial distribution of sediment and water below a glacier can impact the glacier's discharge of sediment and erosion of bedrock.
Sam Y. J. Huang, Steven Y. J. Lai, Ajay B. Limaye, Brady Z. Foreman, and Chris Paola
Earth Surf. Dynam., 11, 615–632, https://doi.org/10.5194/esurf-11-615-2023, https://doi.org/10.5194/esurf-11-615-2023, 2023
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We use experiments and a model to study the effects of confinement width and the inflow-to-sediment discharge ratio on the evolution of submarine braided channels. We find that confinement width controls most of the morphological changes. These trends are consistent for submarine braided channels both with and without confinement width effects and similar to fluvial braided rivers. Furthermore, we built a model that can simulate the flow bifurcation and confluence of submarine braided channels.
Alice Lefebvre and Julia Cisneros
Earth Surf. Dynam., 11, 575–591, https://doi.org/10.5194/esurf-11-575-2023, https://doi.org/10.5194/esurf-11-575-2023, 2023
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Underwater dunes are found in various environments with strong hydrodynamics and sandy sediment. Using a numerical model, we investigated how the dune shape influences flow velocity and turbulence. We propose a classification with three types of dunes, depending on their mean lee side angles (low-angle dunes, intermediate-angle dunes and high-angle dunes). We discuss the implications of this classification on the interaction between dune morphology, flow and sediment transport.
Haggai Eyal, Moshe Armon, Yehouda Enzel, and Nadav G. Lensky
Earth Surf. Dynam., 11, 547–574, https://doi.org/10.5194/esurf-11-547-2023, https://doi.org/10.5194/esurf-11-547-2023, 2023
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Extracting paleoenvironmets from sedimentologic and geomorphic records is a main goal in Earth sciences. We study a chain of processes connecting causative Mediterranean cyclones, coeval floods, storm waves generated by mesoscale funneled wind, and coastal gravel transport. This causes northward dispersion of gravel along the modern Dead Sea coast, which has also persisted since the late Pleistocene, resulting in beach berms and fan deltas always being deposited north of channel mouths.
Rémi Bossis, Vincent Regard, and Sébastien Carretier
Earth Surf. Dynam., 11, 529–545, https://doi.org/10.5194/esurf-11-529-2023, https://doi.org/10.5194/esurf-11-529-2023, 2023
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This study presents a method to calculate the volume of rock eroded by the sea on volcanic islands, by reconstructing their pre-erosion shape and size. The method has been applied on Corvo Island (Azores). We show that before the island was eroded, it was roughly 8 km wide and 1 km high. The island has lost more than 6 km3 of rock and 80 % of its surface. We also show that the erosion of sea cliffs is mainly due to the moderate and most frequent waves.
Nicolas Steeb, Virginia Ruiz-Villanueva, Alexandre Badoux, Christian Rickli, Andrea Mini, Markus Stoffel, and Dieter Rickenmann
Earth Surf. Dynam., 11, 487–509, https://doi.org/10.5194/esurf-11-487-2023, https://doi.org/10.5194/esurf-11-487-2023, 2023
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Various models have been used in science and practice to estimate how much large wood (LW) can be supplied to rivers. This contribution reviews the existing models proposed in the last 35 years and compares two of the most recent spatially explicit models by applying them to 40 catchments in Switzerland. Differences in modelling results are discussed, and results are compared to available observations coming from a unique database.
Ci-Jian Yang, Pei-Hao Chen, Erica D. Erlanger, Jens M. Turowski, Sen Xu, Tse-Yang Teng, Jiun-Chuan Lin, and Jr-Chuang Huang
Earth Surf. Dynam., 11, 475–486, https://doi.org/10.5194/esurf-11-475-2023, https://doi.org/10.5194/esurf-11-475-2023, 2023
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Observations of the interaction between extreme physical erosion and chemical weathering dynamics are limited. We presented major elements of stream water in the badland catchment at 3 h intervals during a 3 d typhoon. The excess sodium in the evaporite deposits causes material dispersion through deflocculation, which enhances the suspended sediment flux. Moreover, we observed a shift from predominantly evaporite weathering at peak precipitation to silicate weathering at peak discharge.
Slim Mtibaa and Haruka Tsunetaka
Earth Surf. Dynam., 11, 461–474, https://doi.org/10.5194/esurf-11-461-2023, https://doi.org/10.5194/esurf-11-461-2023, 2023
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We explore the relation between the spatial patterns of rainfall return levels for various timespans (1–72 h) and landslide density during a rainfall event that triggered widespread landslides. We found that landslide density increases with increased rainfall return levels for the various examined timespans. Accordingly, we conclude that whether rainfall intensities reached exceptional return levels for a wide time range is a key determinant of the spatial distribution of landslides.
Jennifer R. Shadrick, Dylan H. Rood, Martin D. Hurst, Matthew D. Piggott, Klaus M. Wilcken, and Alexander J. Seal
Earth Surf. Dynam., 11, 429–450, https://doi.org/10.5194/esurf-11-429-2023, https://doi.org/10.5194/esurf-11-429-2023, 2023
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This study uses a coastal evolution model to interpret cosmogenic beryllium-10 concentrations and topographic data and, in turn, quantify long-term cliff retreat rates for four chalk sites on the south coast of England. By using a process-based model, clear distinctions between intertidal weathering rates have been recognised between chalk and sandstone rock coast sites, advocating the use of process-based models to interpret the long-term behaviour of rock coasts.
Jayaram Hariharan, Kyle Wright, Andrew Moodie, Nelson Tull, and Paola Passalacqua
Earth Surf. Dynam., 11, 405–427, https://doi.org/10.5194/esurf-11-405-2023, https://doi.org/10.5194/esurf-11-405-2023, 2023
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We simulate the transport of material through numerically simulated river deltas under natural and human-modified (embankment construction and channel dredging) scenarios to understand their impacts on material transport. Human modifications reduce the total area visited by passive particles and alter the amount of time spent within the delta relative to natural conditions. This work can help us understand how future construction may impact land building or ecosystem restoration projects.
Livia Piermattei, Tobias Heckmann, Sarah Betz-Nutz, Moritz Altmann, Jakob Rom, Fabian Fleischer, Manuel Stark, Florian Haas, Camillo Ressl, Michael H. Wimmer, Norbert Pfeifer, and Michael Becht
Earth Surf. Dynam., 11, 383–403, https://doi.org/10.5194/esurf-11-383-2023, https://doi.org/10.5194/esurf-11-383-2023, 2023
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Alpine rivers have experienced strong changes over the last century. In the present study, we explore the potential of historical multi-temporal elevation models, combined with recent topographic data, to quantify 66 years (from 1953 to 2019) of river changes in the glacier forefield of an Alpine catchment. Thereby, we quantify the changes in the river form as well as the related sediment erosion and deposition.
Amande Roque-Bernard, Antoine Lucas, Eric Gayer, Pascal Allemand, Céline Dessert, and Eric Lajeunesse
Earth Surf. Dynam., 11, 363–381, https://doi.org/10.5194/esurf-11-363-2023, https://doi.org/10.5194/esurf-11-363-2023, 2023
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Sediment transport in rivers is an important matter in Earth surface dynamics. We offer a new framework of understanding of the suspended sediment transport through observatory chronicles and a simple model that is able to catch the behavior during a flood event as well as time series in a steep river catchment. We validate our approach in both tropical and alpine environments, which also offers additional estimates of the size of the suspended sediment.
Matthew C. Morriss, Benjamin Lehmann, Benjamin Campforts, George Brencher, Brianna Rick, Leif Anderson, Alexander L. Handwerger, Irina Overeem, and Jeffrey Moore
EGUsphere, https://doi.org/10.5194/egusphere-2023-697, https://doi.org/10.5194/egusphere-2023-697, 2023
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In this manuscript, we investigated the June 28th, 2022 collapse of the Chaos Canyon landslide in Rocky Mountain National Park, Colorado, USA. We found the landslide was moving prior to its collapse, took place at peak spring snowmelt, and temperature modeling indicates the potential presence of permafrost, indicating this collapse could be due to permafrost thaw. We hypothesize this landslide could be part of the broader landscape evolution changes to alpine terrain caused by a warming climate.
Andrea Gasparotto, Stephen E. Darby, Julian Leyland, and Paul A. Carling
Earth Surf. Dynam., 11, 343–361, https://doi.org/10.5194/esurf-11-343-2023, https://doi.org/10.5194/esurf-11-343-2023, 2023
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In this study the processes leading to bank failures in the hypertidal Severn Estuary are studied employing numerical models and field observations. Results highlight that the periodic fluctuations in water levels drive an imbalance in the resisting (hydrostatic pressure) versus driving (pore water pressure) forces causing a frequent oscillation of bank stability between stable (at high tide) and unstable states (at low tide) both on semidiurnal bases and in the spring–neap transition.
Jens Martin Turowski, Gunnar Pruß, Anne Voigtländer, Andreas Ludwig, Angela Landgraf, Florian Kober, and Audrey Bonnelye
EGUsphere, https://doi.org/10.5194/egusphere-2023-76, https://doi.org/10.5194/egusphere-2023-76, 2023
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Rivers can cut into rocks and their strength modulates the river's erosion rates. Yet, it is poorly understood which properties of the rock control its response to erosive action. Here, we describe parallel experiments to measure rock erosion rates under fluvial impact erosion and the rock's geotechnical properties such as fracture strength, elasticity and density. Erosion rates vary over a factor of million between different rock types. We use the data to improve current theory.
Emma Lodes, Dirk Scherler, Renee van Dongen, and Hella Wittmann
Earth Surf. Dynam., 11, 305–324, https://doi.org/10.5194/esurf-11-305-2023, https://doi.org/10.5194/esurf-11-305-2023, 2023
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We explored the ways that boulders and bedrock affect the shapes of hills and valleys by testing how quickly they erode compared to soil. We found that bedrock and boulders mostly erode more slowly than soil and predict that fracture patterns affect where they exist. We also found that streams generally follow fault orientations. Together, our data imply that fractures influence landscapes by weakening bedrock, causing it to erode faster and to eventually form a valley where a stream may flow.
Thomas O. Hoffmann, Yannik Baulig, Stefan Vollmer, Jan H. Blöthe, Karl Auerswald, and Peter Fiener
Earth Surf. Dynam., 11, 287–303, https://doi.org/10.5194/esurf-11-287-2023, https://doi.org/10.5194/esurf-11-287-2023, 2023
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We analyzed more than 440 000 measurements from suspended sediment monitoring to show that suspended sediment concentration (SSC) in large rivers in Germany strongly declined by 50 % between 1990 and 2010. We argue that SSC is approaching the natural base level that was reached during the mid-Holocene. There is no simple explanation for this decline, but increased sediment retention in upstream headwaters is presumably the major reason for declining SSC in the large river channels studied.
Ngai-Ham Chan, Moritz Langer, Bennet Juhls, Tabea Rettelbach, Paul Overduin, Kimberly Huppert, and Jean Braun
Earth Surf. Dynam., 11, 259–285, https://doi.org/10.5194/esurf-11-259-2023, https://doi.org/10.5194/esurf-11-259-2023, 2023
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Arctic river deltas influence how nutrients and soil organic carbon, carried by sediments from the Arctic landscape, are retained or released into the Arctic Ocean. Under climate change, the deltas themselves and their ecosystems are becoming more vulnerable. We build upon previous models to reproduce for the first time an important feature ubiquitous to Arctic deltas and simulate its future under climate warming. This can impact the future of Arctic deltas and the carbon release they moderate.
Kelly Sanks, John Shaw, Samuel Zapp, José Silvestre, Ripul Dutt, and Kyle Straub
EGUsphere, https://doi.org/10.5194/egusphere-2023-545, https://doi.org/10.5194/egusphere-2023-545, 2023
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River deltas encompass many depositional environments (like channels and wetlands) that interact to produce coastal environments that change through time. The processes leading to sedimentation in wetlands are often neglected from physical delta models. We show that wetland sedimentation constrains flow to the channels, changes sedimentation rates, and produces channels more akin to field-scale deltas. These results have implications for management of these vulnerable coastal landscapes.
Katharina Wetterauer and Dirk Scherler
EGUsphere, https://doi.org/10.5194/egusphere-2023-630, https://doi.org/10.5194/egusphere-2023-630, 2023
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In glacial landscapes, debris supply rates vary spatially and temporally. Rockwall erosion rates derived from cosmogenic 10Be concentrations in medial moraine debris at five adjacent Swiss glaciers indicate an increase in erosion from the end of the Little Ice Age towards deglaciation, but temporally more stable rates over the last ~100 years. Rockwall erosion rates are higher where rockwalls are steep and north-facing, suggesting a potential slope and temperature control.
Sarah Betz-Nutz, Tobias Heckmann, Florian Haas, and Michael Becht
Earth Surf. Dynam., 11, 203–226, https://doi.org/10.5194/esurf-11-203-2023, https://doi.org/10.5194/esurf-11-203-2023, 2023
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The geomorphic activity of LIA lateral moraines is of high interest due to its implications for the sediment fluxes and hazards within proglacial areas. We derived multitemporal models from historical aerial images and recent drone images to investigate the morphodynamics on moraine slopes over time. We found that the highest erosion rates occur on the steepest moraine slopes, which stay active for decades, and that the slope angle explains morphodynamics better than the time since deglaciation.
Haojie Huang
Earth Surf. Dynam., 11, 167–181, https://doi.org/10.5194/esurf-11-167-2023, https://doi.org/10.5194/esurf-11-167-2023, 2023
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Straw checkerboard barriers (SCBs) have been widely used in anti-desertification projects. However, research on this mechanism and its laying length are still lacking. The significance of our work is to analyze some results, which seem simple but lack a theoretical basis from the perspective of turbulence through this model. This study may provide theoretical support for the minimum laying length of SCBs in anti-desertification projects.
Taylor Dorn and Mackenzie Day
Earth Surf. Dynam., 11, 149–165, https://doi.org/10.5194/esurf-11-149-2023, https://doi.org/10.5194/esurf-11-149-2023, 2023
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Planetary surfaces are shaped by both wind and water, and their resulting surface features are commonly observed by aerial images. Deep Springs playa, CA, provides a comparable wet-to-dry-transitioning landscape as experienced in Mars' past. Our results, made through collected weather data and drone footage, show that some features, when observed solely by aerial imagery, might be interpreted as being formed by wind when in fact other processes were more influential in their formation.
Daniel Draebing, Tobias Gebhard, and Miriam Pheiffer
Earth Surf. Dynam., 11, 71–88, https://doi.org/10.5194/esurf-11-71-2023, https://doi.org/10.5194/esurf-11-71-2023, 2023
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Scarpland formation produced low-inclined slopes susceptible to deep-seated landsliding on geological scales. These landslide-affected slopes are often used for forestry activities today, and interaction between geology and vegetation controls shallow landsliding. Our data show that Feuerletten clays control deep-seated landsliding processes that can be reactivated. When trees are sufficiently dense to provide lateral root cohesion, trees can prevent the occurrence of shallow landslides.
Mohamad Nasr, Adele Johannot, Thomas Geay, Sebastien Zanker, Jules Le Guern, and Alain Recking
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2022-68, https://doi.org/10.5194/esurf-2022-68, 2023
Revised manuscript accepted for ESurf
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Hydrophones are used to monitor sediment transport in the river by listing to the acoustic noise generated by particles impacts on the riverbed. However, this acoustic noise is modified by the river flow and can cause misleading information about sediment transport. This article proposes a model that corrects the measured acoustic signal. Testing the model showed that the corrected signal is better correlated with bedload flux in the river.
Christoph Rettinger, Mina Tabesh, Ulrich Rüde, Stefan Vollmer, and Roy M. Frings
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2022-72, https://doi.org/10.5194/esurf-2022-72, 2023
Revised manuscript accepted for ESurf
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Packing models promise efficient and accurate porosity predictions of fluvial sediment deposits. In this study, three packing models were reviewed, calibrated, and validated. Only two of the models were able to handle the continuous and large grain size distributions typically encountered in rivers. We showed that an extension by a cohesion model is necessary, and developed guidelines for successful predictions in different rivers.
Pascal Allemand, Eric Lajeunesse, Olivier Devauchelle, and Vincent J. Langlois
Earth Surf. Dynam., 11, 21–32, https://doi.org/10.5194/esurf-11-21-2023, https://doi.org/10.5194/esurf-11-21-2023, 2023
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We recorded yearly images of a bar of the Vieux-Habitants river, a river located on Basse-Terre (Guadeloupe). These images, combined with measurements of the river discharge, allow us to monitor the evolution of the population of boulders. We estimate the smallest discharge that can move the boulders and calculate the effective transport time. We show that the likelihood of a given boulder remaining at the same location decreases exponentially, with an effective residence time of 17 h.
Shawn M. Chartrand, A. Mark Jellinek, Marwan A. Hassan, and Carles Ferrer-Boix
Earth Surf. Dynam., 11, 1–20, https://doi.org/10.5194/esurf-11-1-2023, https://doi.org/10.5194/esurf-11-1-2023, 2023
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Rivers with alternating patterns of shallow and deep flows are commonly observed where a river widens and then narrows, respectively. But what if width changes over time? We use a lab experiment to address this question and find it is possible to decrease and then increase river width at a specific location and observe that flows deepen and then shallow consistent with expectations. Our observations can inform river restoration and climate adaptation programs that emphasize river corridors.
Chendi Zhang, Yuncheng Xu, Marwan A. Hassan, Mengzhen Xu, and Pukang He
Earth Surf. Dynam., 10, 1253–1272, https://doi.org/10.5194/esurf-10-1253-2022, https://doi.org/10.5194/esurf-10-1253-2022, 2022
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Step-pool morphology is common in mountain streams. The geomorphic processes of step-pool features closely interact with hydraulic properties, which have limited access due to measurement difficulties. We established a combined approach using both physical experiments and numerical simulations to acquire detailed three-dimensional hydraulics for step-pool morphology, which improves the understanding of the links between hydraulics and morphology for a step-pool feature.
Hemanti Sharma and Todd A. Ehlers
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2022-65, https://doi.org/10.5194/esurf-2022-65, 2022
Revised manuscript accepted for ESurf
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Seasonality in precipitation (P) and vegetation (V) jointly influence catchment erosion (E), although which factor plays the dominant role is unclear. In this study, we performed a sensitivity analysis of E to P-V seasonality through numerical modeling. Our results suggest that P variations strongly influence seasonal variations in E. While the effect of seasonal V variations is secondary but significant. This is more pronounced in moderate and least pronounced in extreme environmental settings.
Yan Yan, Yifei Cui, Xinghui Huang, Jiaojiao Zhou, Wengang Zhang, Shuyao Yin, Jian Guo, and Sheng Hu
Earth Surf. Dynam., 10, 1233–1252, https://doi.org/10.5194/esurf-10-1233-2022, https://doi.org/10.5194/esurf-10-1233-2022, 2022
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Landslides present a significant hazard for humans, but continuous landslide monitoring is not yet possible due to their unpredictability. Our study has demonstrated that combing landslide seismic signal analysis, dynamic inversion, and numerical simulation provides a comprehensive and accurate method for studying the landslide process. The approach outlined in this study could be used to support hazard prevention and control in sensitive areas.
Samuel Anderson, Nicole Gasparini, and Joel Johnson
EGUsphere, https://doi.org/10.5194/egusphere-2022-1285, https://doi.org/10.5194/egusphere-2022-1285, 2022
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We measured rock strength and amount of fracturing in the two different rock types, sandstones and carbonates, in Last Chance Canyon, New Mexico, USA. Where there is more carbonate bedrock, hills and channels steepen in Last Chance Canyon. This is because the carbonate type bedrock tends to be more thickly bedded, is less fractured, and is stronger. The carbonate bedrock produces larger boulders than the sandstone bedrock which can protect the more fractured sandstone bedrock from erosion.
Wei Shi, Hanchao Jiang, Hongyan Xu, Siyuan Ma, Jiawei Fan, Siqi Zhang, Qiaoqiao Guo, and Xiaotong Wei
Earth Surf. Dynam., 10, 1195–1209, https://doi.org/10.5194/esurf-10-1195-2022, https://doi.org/10.5194/esurf-10-1195-2022, 2022
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Alpine valleys reduce the preservation potential of Quaternary sediment in bedrock valley regions, which seriously hinders the study of modern tectonic activity. We report a new method to reveal regional tectonic activity by analyzing fluvial sediments in tectonically active regions. Our analyses identify three segments of different tectonic activities along the upper Min River, eastern Tibet. This method provides a key framework to reveal tectonic activity in other regions of the world.
Sibylle Knapp, Michael Schwenk, and Michael Krautblatter
Earth Surf. Dynam., 10, 1185–1193, https://doi.org/10.5194/esurf-10-1185-2022, https://doi.org/10.5194/esurf-10-1185-2022, 2022
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The Flims area in the Swiss Alps has fascinated the researchers with its complex geological history ever since. Especially the order of events related to the Tamins and Flims rockslides has long been debated. This paper presents novel results based on up to 160 m deep geophysical profiles, which show onlaps of the Bonaduz Formation onto the Tamins deposits (Ils Aults) and thus indicate that the Tamins rockslide occurred first. The consecutive evolution of this landscape is shown in four phases.
Dieter Rickenmann, Lorenz Ammann, Tobias Nicollier, Stefan Boss, Bruno Fritschi, Gilles Antoniazza, Nicolas Steeb, Zheng Chen, Carlos Wyss, and Alexandre Badoux
Earth Surf. Dynam., 10, 1165–1183, https://doi.org/10.5194/esurf-10-1165-2022, https://doi.org/10.5194/esurf-10-1165-2022, 2022
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The Swiss plate geophone system has been installed and tested in more than 20 steep gravel-bed streams. It is an indirect bedload transport measuring system. We compare the performance of this system with three alternative surrogate measuring systems, using calibration measurements with direct bedload samples from three field sites and an outdoor flume facility. Three of the four systems resulted in robust calibration relations between signal impulse counts and transported bedload mass.
Alexander Anatol Ermilov, Gergely Benkő, and Sándor Baranya
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2022-56, https://doi.org/10.5194/esurf-2022-56, 2022
Revised manuscript accepted for ESurf
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A novel, artificial intelligence-based riverbed sediment analysis methodology is introduced, which uses underwater images to identify the characteristic sediment classes. The main novelties of the procedure are the followings: underwater images are used; the method enables continuous mapping of the riverbed along the measurement vessel’s route contrary to conventional techniques; cost-efficient; works without scaling.
Anya S. Leenman and Brett C. Eaton
Earth Surf. Dynam., 10, 1097–1114, https://doi.org/10.5194/esurf-10-1097-2022, https://doi.org/10.5194/esurf-10-1097-2022, 2022
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The supply of sediment (sand and gravel) carried by a stream out of a steep mountain valley is widely thought to control the gradient of the fan-shaped landforms that streams often build where they leave their valley. We tested this idea in a set of
sandboxexperiments with oscillating high and low sediment supply. Even though the average sediment supply never changed, longer oscillations built flatter fans, indicating how wetter climates might affect these mountain landforms.
Shanbai Wu, Ruihua Zhao, Liping Liao, Yunchuan Yang, Yao Wei, and Wenzhi Wei
Earth Surf. Dynam., 10, 1079–1096, https://doi.org/10.5194/esurf-10-1079-2022, https://doi.org/10.5194/esurf-10-1079-2022, 2022
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Granite residual soil landslides are widely distributed in southeastern Guangxi Province, China. To understand the failure mode, the landslide can provide a scientific basis for early warning and prevention. In this study, we conducted artificial flume model tests to investigate the failure mode of granite residual soil landslide. The research provides valuable references for the prevention and early warning of granite residual soil landslide in the southeast of Guangxi.
Shiuan-An Chen, Katerina Michaelides, David A. Richards, and Michael Bliss Singer
Earth Surf. Dynam., 10, 1055–1078, https://doi.org/10.5194/esurf-10-1055-2022, https://doi.org/10.5194/esurf-10-1055-2022, 2022
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Drainage basin erosion rates influence landscape evolution through controlling land surface lowering and sediment flux, but gaps remain in understanding their large-scale patterns and drivers between timescales. We analysed global erosion rates and show that long-term erosion rates are controlled by rainfall, former glacial processes, and basin landform, whilst human activities enhance short-term erosion rates. The results highlight the complex interplay of controls on land surface processes.
Cited articles
Ancey, C.: Stochastic modeling in sediment dynamics: Exner equation for planar bed incipient bed load transport conditions, J. Geophys. Res.-Earth, 115, F00A11, https://doi.org/10.1029/2009JF001260, 2010.
Ancey, C.: Bedload transport: a walk between randomness and determinism. Part 1. The state of the art, J. Hydraul. Res., 58, 1–17, 2020a.
Ancey, C.: Bedload transport: a walk between randomness and determinism. Part 2. Challenges and prospects, J. Hydraul. Res., 58, 18–33, 2020b.
Ancey, C. and Heyman, J.: A microstructural approach to bed load transport: mean behaviour and fluctuations of particle transport rates, J. Fluid Mech., 744, 129–168, 2014.
Ancey, C. and Pascal, I.: Estimating mean bedload transport rates and their uncertainty, J. Geophys. Res.-Earth, 125, e2020JF005534, https://doi.org/10.1029/2020JF005534, 2020.
Ancey, C., Böhm, T., Jodeau, M., and Frey, P.: Statistical description of sediment transport experiments. Phys. Rev. E, 74, 1–14, https://doi.org/10.1103/PhysRevE.74.011302, 2006.
Ancey, C., Davison, A. C., Böhm, T., Jodeau, M., and Frey, P.: Entrainment and motion of coarse particles in a shallow water stream down a steep slope, J. Fluid Mech., 595, 83–114, https://doi.org/10.1017/S0022112007008774, 2008.
Ancey, C., Bohorquez, P., and Heyman, J.: Stochastic interpretation of the advection-diffusion equation and its relevance to bed load transport, J. Geophys. Res.-Earth, 120, 2529–2551, https://doi.org/10.1002/2014JF003421, 2015.
Ashley, T. C., Mahon, R. C., Naqshband, S., Leary, K. C. P., and McElroy, B.: Probability distributions of particle hop distance and travel time over equilibrium mobile bedforms, J. Geophys. Res.-Earth, 125, e2020JF005647, https://doi.org/10.1029/2020JF005647, 2020.
Ballio, F., Pokrajac, D., Radice, A., and Sadabadi, S. A. H.: Lagrangian and Eulerian description of bed load transport, J. Geophys. Res.-Earth, 123, 384–408, 2018.
Ballio, F., Radice, A., Fathel, S. L., and Furbish, D. J.: Experimental censorship of bed load particle motions, and bias correction of the associated frequency distributions, J. Geophys. Res.-Earth, 124, 116–136, 2019.
Benda, L. and Dunne, T.: Stochastic forcing of sediment supply to channel networksfrom landsliding and debris flow, Water Resour. Res., 33, 2849–2863, 1997.
Benjamin, J., Rosser, N. J., and Brain, M. J.: Emergent characteristics of rockfall inventories captured at a regional scale, Earth Surf. Proc. Land., 45, 2773–2787, https://doi.org/10.1002/esp.4929, 2020.
Bi, D., Henkes, S., Daniels, K. E., and Chakraborty, B.: The statistical physics of athermal materials, Annu. Rev. Conden. Ma. P., 6, 63–83, 2015.
Bithell, M., Richards, K. S., and Bithell, E. G.: Simulation of scree-slope dynamics: investigating the distribution of debris avalanche events in an idealized two-dimensional model, Earth Surf. Proc. Land., 39, 1601–1610, https://doi.org/10.1002/esp.3548, 2014.
Bocquet, L., Colin, A., and Ajdari, A.: Kinetic theory of plastic flow in soft glassy materials, Phys. Rev. Lett., 103, 036001, https://doi.org/10.1103/PhysRevLett.103.036001, 2009.
Bohorquez, P. and Ancey, C.: Particle diffusion in non-equilibrum bedload transport simulations, Appl. Math. Model., 40, 7474–7492, 2016.
Brach, R. M.: Mechanical Impact Dynamics, John Wiley, New York, 282 pp., 1991.
Bradley, D. N.: Direct observation of heavy-tailed storage times of bed load tracer particles causing anomalous superdiffusion, Geophys. Res. Lett., 44, 12227–12235, https://doi.org/10.1002/2017GL075045, 2017.
Bradley, D. N., Tucker, G. E., and Benson, D. A.: Fractional dispersion in a sand bed river, J. Geophys. Res.-Earth, 115, F00A09, https://doi.org/10.1029/2009JF001268, 2010.
Brantov, A. V. and Bychenkov, V. Yu.: Nonlocal transport in hot plasma. Part I, Plasma Phys. Rep., 39, 698–744, 2013.
Brilliantov, N. V. and Pöschel, T.: Kinetic Theory of Granular Gases, Oxford University Press, New York, 142 pp., 2004.
Brilliantov, N. V. and Pöschel, T.: Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog, Chaos, 15, 026108, https://doi.org/10.1063/1.1889266, 2005.
Brilliantov, N. V., Formella, A., and Pöschel, T.: Increasing temperature of cooling granular gases, Nat. Commun., 9, 797, https://doi.org/10.1038/s41467-017-02803-7, 2018.
Brito, R. and Ernst, M. H.: Extension of Haff's cooling law in granular flows Europhys. Lett., 43, 497–502, 1998.
Campagnol, J., Radice, A., Nokes, R., Bulankina, V., Lescova, A., and Ballio, F.: Lagrangian analysis of bed-load sediment motion: database contribution, J. Hydraul. Res., 51, 589–596, 2013.
Carson, M. A. and Kirkby, M. J.: Hillslope Form and Process, Cambridge University Press, New York, 476 pp., 1972.
Chandrasekhar, S.: Stochastic problems in physics and astronomy, Rev. Mod. Phys., 15, 1–89, 1943.
Chartrand, S. M. and Furbish, D. J.: The transport of sediment mixtures examined with a birth-death model for grain-size fractions, Earth Surf. Dynam. Discuss. [preprint], https://doi.org/10.5194/esurf-2021-16, in review, 2021.
Culling, W. E. H.: Soil creep and the development of hillside slopes, J. Geol., 71, 127–161, 1963.
Deshpande, N. S., Furbish D. J., Arratia, P. E., and Jerolmack, D. J.: The perpetual fragility of creeping hillslopes, Nat. Commun., in press, 2021.
Deutsch, D.: A new way of explaining explanation, TED Conferences LLC, available at: https://www.ted.com/talks/david _deutsch _a _new _way _to _explain _explanation (last access: 9 June 2021), 2009.
Deutsch, D.: The Beginning of Infinity, Viking Press, New York, 496 pp., 2011.
DiBiase, R. A. and Lamb, M. P.: Vegetation and wildfire controls on sediment yield in bedrock landscapes, Geophys. Res. Lett., 40, 1093–1097, https://doi.org/10.1002/grl.50277, 2013.
DiBiase, R. A., Lamb, M. P., Ganti, V., and Booth, A. M.: Slope, grain size, and roughness controls on dry sediment transport and storage on steep hillslopes, J. Geophys. Res.-Earth, 122, 941–960, https://doi.org/10.1002/2016JF003970, 2017.
Dhont, B. and Ancey, C.: Are bedload transport pulses in gravel-bed rivers created by bar migration or sediment waves?, Geophys. Res. Lett., 45, 5501–5508, 2018.
Doane, T. H.: Theory and application of nonlocal hillslope sediment transport, PhD thesis, Vanderbilt University, Nashville, Tennessee, 2018.
Doane, T. H., Furbish, D. J., Roering, J. J., Schumer, R., and Morgan, D. J.: Nonlocal sediment transport on steep lateral moraines, eastern Sierra Nevada, California, USA, J. Geophys. Res.-Earth, 123, 187–208, https://doi.org/10.1002/2017JF004325, 2018.
Doane, T. H., Roth, D. L., Roering, J. J., and Furbish, D. J.: Compression and decay of hillslope topographic variance in Fourier wavenumber domain, J. Geophys. Res.-Earth, 124, 60–79, https://doi.org/10.1029/2018JF004724, 2019.
Dominguez, H. and Zenit, R.: On the cooling law of a non-dilute granular gas, Rev. Mex. Fí., 53, 83–86, 2007.
Domokos, G., Jerolmack, D. J., Kun, F., and Török, J.: Plato's cube and the natural geometry of fragmentation, P. Natl. Acad. Sci. USA, 117, 18178–18185, https://doi.org/10.1073/pnas.2001037117, 2020.
Dunne, T., Malmon, D. V., and Mudd, S. M.: A rain splash transport equation assimilating field and laboratory measurements, J. Geophys. Res.-Earth, 115, F01001, https://doi.org/10.1029/2009JF001302, 2010.
Einstein, A.: Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen, Ann. Phys., 17, 549–560, 1905.
Einstein, H. A.: Bedload transport as a probability problem, PhD thesis, Mitt. Versuchsanst. Wasserbau Eidg. Tech. Hochsch, Zürich, Switzerland, 1937.
Einstein, H. A.: The bed-load function for sediment transportation in open channel flows, Technical Bulletin 1026, Soil Conservation Service, U.S. Department of Agriculture, Washington, D.C., 1950.
Emanuel, K.: The Relevance of theory for contemporary research in atmospheres, oceans, and climate, AGU Advances, 1, e2019AV000129, https://doi.org/10.1029/2019AV000129, 2020.
Fan, N., Singh, A., Guala, M., Foufoula-Georgiou, E., and Wu, B.: Exploring a semimechanistic Episodic Langevin model for bed load transport: Emergence of normal and anomalous advection and diffusion regimes, Water Resour. Res., 52, 2789–2801, https://doi.org/10.1002/2015WR018023, 2016.
Fathel, S. L.: Experimental analysis of bed load sediment motions using high-speed imagery in support of statistical mechanics theory, PhD thesis, Vanderbilt University, Nashville, Tennessee, 2016.
Fathel, S. L., Furbish, D. J., and Schmeeckle, M. W.: Experimental evidence of statstical ensemble behavior in bed load sediment transport, J. Geophys. Res.-Earth, 120, 2298–2317, https://doi.org/10.1002/2015JF003552, 2015.
Fathel, S. L., Furbish, D. J., and Schmeeckle, M. W.: Parsing anomalous versus normal diffusive behavior of bed load sediment particles, Earth Surf. Proc. Land., 41, 1797–1803, https://doi.org/10.1002/esp.3994, 2016.
Ferguson, R. I. and Hoey, T. B.: Long-term slowdown of river tracer pebbles: generic models and implications for interpreting short-term tracer studies, Water Resour. Res., 38, 17-1–17-11, 2002.
Ferguson, R. I. and Wathen, S. J.: Tracer-pebble movement along a concave river profile: virtual velocity in relation to grain size and shear stress, Water Resour. Res., 34, 2031–2038, 1998.
Ferguson, R. I., Bloomer, D. J., Hoey, T. B., and Werritty, A.: Mobility of river tracer pebbles over different timescales, Water Resour. Res., 38, 3-1–3-8, 2002.
Foufoula-Georgiou, E., Ganti, V., and Dietrich, W.: A nonlocal theory of sediment transport on hillslopes, J. Geophys. Res.-Earth, 115, F00A16, https://doi.org/10.1029/2009JF001280, 2010.
Furbish, D. J. and Fagherazzi, S.: Stability of creeping soil and implications for hillslope evolution, Water Resour. Res., 37, 2607–2618, 2001.
Furbish, D. J., Hamner, K. K., Schmeeckle, M., Borosund, M. N., and Mudd, S. M.: Rain splash of dry sand revealed by high-speed imaging and sticky paper splash targets, J. Geophys. Res.-Earth, 112, F01001, https://doi.org/10.1029/2006JF000498, 2007.
Furbish, D. J. and Haff, P. K.: From divots to swales: Hillslope sediment transport across divers length scales, J. Geophys. Res.-Earth, 115, F03001, https://doi.org/10.1029/2009JF001576, 2010.
Furbish, D. J. and Roering, J. J.: Sediment disentrainment and the concept of local versus nonlocal transport on hillslopes, J. Geophys. Res.-Earth, 118, 937–952, https://doi.org/10.1002/jgrf.20071, 2013.
Furbish, D. J. and Schmeeckle, M. W.: A probabilistic derivation of the exponential-like distribution of bed load particle velocities, Water Resour. Res., 49, 1537–1551, https://doi.org/10.1002/wrcr.20074, 2013.
Furbish, D. J., Childs, E. M., Haff, P. K., and Schmeeckle, M. W.: Rain splash of soil grains as a stochastic advection-dispersion process, with implications for desert plant-soil interactions and land-surface evolution, J. Geophys. Res.-Earth, 114, F00A03, https://doi.org/10.1029/2009JF001265, 2009a.
Furbish, D. J., Haff, P. K., Dietrich, W. E., and Heimsath, A. M.: Statistical description of slope-dependent soil transport and the diffusion-like coefficient, J. Geophys. Res.-Earth, 114, F00A05, https://doi.org/10.1029/2009JF001267, 2009b.
Furbish, D. J., Haff, P. K., Roseberry, J. C., and Schmeeckle, M.W.: A probabilistic description of the bed load sediment flux: 1. Theory, J. Geophys. Res.-Earth, 117, F03031, https://doi.org/10.1029/2012JF002352, 2012a.
Furbish, D. J., Roseberry, J. C., and Schmeeckle, M. W.: A probabilistic description of the bed load sediment flux. 3. The particle velocity distribution and the diffusive flux, J. Geophys. Res.-Earth, 117, F03033, https://doi.org/10.1029/2012JF002355, 2012b.
Furbish, D. J., Ball, A. E., and Schmeeckle, M. W.: A probabilistic description of the bed load sediment flux. 4. Fickian diffusion at low transport rates, J. Geophys. Res.-Earth, 117, F03034, https://doi.org/10.1029/2012JF002356, 2012c.
Furbish, D. J., Schmeeckle, M. W., Schumer, R., and Fathel, S. L.: Probability distributions of bed load particle velocities, accelerations, hop distances, and travel times informed by Jaynes's principle of maximum entropy, J. Geophys. Res.-Earth, 121, 1373–1390, https://doi.org/10.1002/2016JF003833, 2016a.
Furbish, D. J., Fathel, S. L., Schmeeckle, M. W., Jerolmack, D. J., and Schumer, R.: The elements and richness of particle diffusion during sediment transport at small timescales, Earth Surf. Proc. Land., 42, 214–237, https://doi.org/10.1002/esp.4084, 2016b.
Furbish, D. J., Fathel, S. L., and Schmeeckle, M. W.: Particle motions and bedload theory: The entrainment forms of the flux and the Exner equation, in: Gravel-Bed Rivers: Processes and Disasters, edited by: Tsutsumi, D. and Laronne, J. B., Wiley-Blackwell, ISBN 978-1-118-97140-6, 2017.
Furbish, D. J., Roering, J. J., Almond, P., and Doane, T. H.: Soil particle transport and mixing near a hillslope crest: 1. Particle ages and residence times, J. Geophys. Res.-Earth, 123, 1052–1077, https://doi.org/10.1029/2017JF004315, 2018a.
Furbish, D. J., Roering, J. J., Keen-Zebert, A., Almond, P., Doane, T., H, and Schumer, R.: Soil particle transport and mixing near a hillslope crest: 2. Cosmogenic nuclide and optically stimulated luminescence tracers, J. Geophys. Res.-Earth, 123, 1078–1093, https://doi.org/10.1029/2017JF004316, 2018b.
Furbish, D. J., Schumer, R., and Keen-Zebert, A.: The rarefied (non-continuum) conditions of tracer particle transport in soils, with implications for assessing the intensity and depth dependence of mixing from geochronology, Earth Surf. Dynam., 6, 1169–1202, https://doi.org/10.5194/esurf-6-1169-2018, 2018c.
Furbish, D. J., Roering, J. J., Doane, T. H., Roth, D. L., Williams, S. G. W., and Abbott, A. M.: Rarefied particle motions on hillslopes – Part 1: Theory, Earth Surf. Dynam., 9, 539–576, https://doi.org/10.5194/esurf-9-539-2021, 2021a.
Furbish, D. J., Williams, S. G. W., Roth, D. L., Doane, T. H., and Roering, J. J.: Rarefied particle motions on hillslopes – Part 2: Analysis, Earth Surf. Dynam., 9, 577–613, https://doi.org/10.5194/esurf-9-577-2021, 2021b.
Furbish, D. J., Williams, S. G. W., and Doane, T. H.: Rarefied particle motions on hillslopes – Part 3: Entropy, Earth Surf. Dynam., 9, 615–628, https://doi.org/10.5194/esurf-9-615-2021, 2021c.
Gabet, E. J. and Mendoza, M. K.: Particle transport over rough hillslope surfaces by dry ravel: Experiments and simulations with implications for nonlocal sediment flux, J. Geophys. Res.-Earth, 117, F01019, https://doi.org/10.1029/2011JF002229, 2012.
Ganti, V., Meerschaert, M. M., Foufoula-Georgiou, E., Viparelli, E., and Parker, G.: Normal and anomalous diffusion of gravel tracer particles in rivers, J. Geophys. Res.-Earth, 115, F00A12, https://doi.org/10.1029/2008JF001222, 2010.
Gardiner, C. W.: Handbook of Stochastic Methods, Springer, Berlin, 442 pp., 1983.
Gerber, E. and Scheidegger, A. E.: On the dynamics of scree slopes, Rock Mech., 6, 25–38, 1974.
Gibbs, J. W.: Elementary Principles in Statistical Mechanics, Yale University Press, New Haven, Connecticut, 207 pp., 1902.
Gray, H. J., Keen-Zebert, A., Furbish, D. J., Tucker, G. E., and Mahan, S. A.: Depth-dependent soil mixing persists across climate zones, P. Natl. Acad. Sci. USA, 117, 8750–8756, 2020.
Gunkelmann, N., Montaine, M., and Pöschel, T.: Stochastic behavior of the coefficient of normal restitution, Phys. Rev. E, 89, 022205, https://doi.org/10.1103/PhysRevE.89.022205, 2014.
Haff, P. K.: Grain flow as a fluid-mechanical phenomenon, J. Fluid Mech., 134, 401–430, 1983.
Hájek, A.: Interpretations of Probability, The Stanford Encyclopedia of Philosophy, Winter 2012 Edition, edited by: Zalta, E. N., available at: http://plato.stanford.edu/archives/win2012/entries/probability-interpret/ (last access: 9 June 2021), 2012.
Hassan, M. A. and Bradley, D. N.: Geomorphic controls on tracer particle dispersion in gravel bed rivers, in: Gravel-Bed Rivers: Process and Disasters, edited by: Tsutsumi, D. and Laronne, J. B., Wiley, 2017.
Hassan, M. A. and Church, M.: Distance of movement of coarse particles in gravel bed streams, Water Resour. Res., 27, 503–511, 1991.
Hassan, M., Voepel, H., Schumer, R., Parker, G., and Fraccarollo, L.: Displacement characteristics of coarse fluvial bed sediment, J. Geophys. Res.-Earth, 118, 155–165, 2013.
Henann, D. L. and Kamrin, K.: A predictive, size-dependent continuum model for dense granular flows, P. Natl. Acad. Sci., 110, 6730–6735, 2013.
Heyman, J.: A study of the spatio-temporal behaviour of bed load transport rate fluctuations, PhD thesis, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2014.
Heyman, J., Ma, H. B., Mettra, F., and Ancey, C.: Spatial correlations in bed load transport: evidence, importance, and modeling, J. Geophys. Res.-Earth, 119, 1751–1767, 2014.
Heyman, J., Bohorquez, P., and Ancey, C.: Entrainment, motion and deposition of coarse particles transported by water over a sloping mobile bed, J. Geophys. Res.-Earth, 121, 1931–1952, 2016.
Hill, K., DellAngelo, L., and Meerschaert, M. M.: Heavy-tailed travel distance in gravel bed transport: an exploratory enquiry, J. Geophys. Res.-Earth, 115, F00A14, https://doi.org/10.1029/2009JF001276, 2010.
Hosking, J. R. M. and Wallis, J. R.: Parameter and quartile estimation for the generalized Pareto distribution, Technometrics, 29, 339–349, 1987.
Jaynes, E. T.: Information theory and statistical mechanics, Phys. Rev., 106, 620–630, 1957a.
Jaynes, E. T.: Information theory and statistical mechanics. II, Phys. Rev., 108, 171–190, 1957b.
Jaynes, E. T.: The relation of Bayesian and maximum entropy methods, in Maximum-Entropy and Bayesian Methods in Science and Engineering, vol. 1, edited by: Erickson, G. J. and Smith, C. R., 25–29, Kluwer Acad., Dordrecht, the Netherlands, 1988.
Kirkby, M. J.: Hillslope process-respnse models based on the continuity equation, Inst. Br. Geogr. Spec. Publ, 3, 15–30, 1971.
Kirkby, M. J. and Statham, I.: Stone movement and scree formation, J. Geol., 83, 349–362, 1975.
Korup, O.: Bayesian geomorphology, Earth Surf. Proc. Land., 46, 151–172, https://doi.org/10.1002/esp.4995, 2020.
Kumaran, V.: Kinematic model for sheared granular flows in the high Knudsen number limit, Phys. Rev. Lett., 95, 108001, https://doi.org/10.1103/PhysRevLett.95.108001, 2005.
Kumaran, V.: Granular flow of rough particles in the high-Knudsen number limit, J. Fluid Mech., 561, 43–72, 2006.
Lajeunesse, E., Malverti, L., and Charru, F.: Bed load transport in turbulent flow at the grain scale: Experiments and modeling, J. Geophys. Res.-Earth, 115, F04001, https://doi.org/10.1029/2009JF001628, 2010.
Lamb, M. P., Scheingross, J. S., Amidon, W. H., Swanson, E., and Limaye, A.: A model for fire-induced sediment yield by dry ravel in steep landscapes, J. Geophys. Res.-Earth, 116, F03006, https://doi.org/10.1029/2010JF001878, 2011.
Lamb, M. P., Levina, M., DiBiase, R. A., and Fuller, B. M.: Sediment storage by vegetation in steep bedrock landscapes: Theory, experiments, and implications for postfire sediment yield, J. Geophys. Res.-Earth, 118, 1147–1160, https://doi.org/10.1002/jgrf.20058, 2013.
Lee, D. B. and Jerolmack, D.: Determining the scales of collective entrainment in collision-driven bed load, Earth Surf. Dynam., 6, 1089–1099, https://doi.org/10.5194/esurf-6-1089-2018, 2018.
Lewin, K.: Psychology and the process of group living, J. Soc. Psychol., 17, 113–131, 1943.
Liu, M. X., Pelosi, A., and Guala, M.: A statistical description of particle motion and rest regimes in open-channel flows under low bedload transport, J. Geophys. Res.-Earth, 124, 2666–2688, https://doi.org/10.1029/2019JF005140, 2019.
Luckman, B. H.: Processes, Transport, Deposition, and Landforms: Rockfall, in: Treatise on Geomorphology, edited by: Shroder, J. F., San Diego, Academic Press, 7, 174–182, 2013.
Mair, D., Lechmann, A., Delunel, R., Yeşilyurt, S., Tikhomirov, D., Vockenhuber, C., Christl, M., Akçar, N., and Schlunegger, F.: The role of frost cracking in local denudation of steep Alpine rockwalls over millennia (Eiger, Switzerland), Earth Surf. Dynam., 8, 637–659, https://doi.org/10.5194/esurf-8-637-2020, 2020.
Martin, R. L., Jerolmack, D. J., and Schumer, R.: The physical basis for anomalous diffusion in bed load transport, J. Geophys. Res.-Earth, 117, F01018, https://doi.org/10.1029/2011JF002075, 2012.
Martin, R. L., Purohit, P. K., and Jerolmack, D. J.: Sedimentary bed evolution as a mean-reverting random walk: implications for tracer dispersion, Geophys. Res. Lett., 41, 6152–6159, 2014.
McCain, K. W.: “Nothing as practical as a good theory” Does Lewin's Maxim still have salience in the applied social sciences?, Proceedings of the Association for Information Science and Technology, 52, 1–4, https://doi.org/10.1002/pra2.2015.145052010077, 2016.
Metzler, R. and Klafter, J.: The random walk's guide to anomalous diffusion: A fractional dynamics approach, Phys. Rep., 339, 1–77, 2000.
Minton, D. A., Fassett, C. I., Hirabayashi, M., Howl, B. A., and Richardson, J. E.: The equilibrium size-frequency distribution of small craters reveals the effects of distal ejecta on lunar landscape morphology, Icarus, 326, 63–87, 2019.
Nakagawa, H. and Tsujimoto, T.: Sand bed instability due to bed load motion, J. Hydraul. Eng., 106, 2023–2051, 1980.
Nie, X., Ben-Naim, E., and Chen, S.: Dynamics of freely flowing granular gases, Phys. Rev. Lett., 89, 204301, https://doi.org/10.1103/PhysRevLett.89.204301, 2002.
Nikora, V., Habersack, H., Huber, T., and McEwan, I.: On bed particle diffusion in gravel bed flows under weak bed load transport, Water Resour. Res., 38, 1081, https://doi.org/10.1029/2001WR000513, 2002.
Parker, G., Paola, C., and Leclair, S.: Probabilistic Exner sediment continuity equation for mixtures with no active layer, J. Hydraul. Eng., 126, 818–826, 2000.
Pelletier, J. D. and Turcotte, D. L.: Synthetic stratigraphy with a stochastic diffusion model of fluvial sedimentation, J. Sediment. Res., 67, 1060–1067, 1997.
Pelosi, A., Parker, G., and Schumer, R.: Exner based Master equation for transport and dispersion of river pebble tracers: derivation, asymptotic forms, and quantification of nonlocal vertical dispersion, J. Geophys. Res.-Earth, 119, 1818–1832, 2014.
Peterson, J., Dixit, P. D., and Dill, K. A.: A maximum entropy framework for nonexponential distributions, P. Natl. Acad. Sci. USA, 110, 20380–20385, 2013.
Phillips, C. B. and Jerolmack, D. J.: Dynamics and mechanics of bed-load tracer particles, Earth Surf. Dynam., 2, 513–530, https://doi.org/10.5194/esurf-2-513-2014, 2014.
Phillips, C. B., Martin, R. L., and Jerolmack, D. J.: Impulse framework for unsteady flows reveals superdiffusive bed load transport, Geophys. Res. Lett., 40, 1328–1333, 2013.
Pickands, J.: Statistical inference using extreme order statistics, Ann. Stat., 3, 119–131, 1975.
Pierce, J. K. and Hassan, M. A.: Joint stochastic bedload transport and bed elevation model: Variance regulation and power law rests, J. Geophys. Res.-Earth, 125, e2019JF005259, https://doi.org/10.1029/2019JF005259, 2020a.
Pierce, J. K. and Hassan, M. A.: Back to Einstein: burial-induced three range diffusion in fluvial sediment transport, Geophys. Res. Lett., 47, e2020GL087440, https://doi.org/10.1029/2020GL087440, 2020b.
Risken, H.: The Fokker–Planck Equation: Methods of Solution and Applications, Springer, Berlin, 1984.
Risso, D. and Cordero, P.: Dynamics of rarefied granular gases, Phys. Rev. E, 65, 021304, https://doi.org/10.1103/PhysRevE.65.021304, 2002.
Roering, J. J. and Gerber, M.: Fire and the evolution of steep, soil-mantled landscapes, Geology, 33, 349–352, https://doi.org/10.1130/G21260.1, 2005.
Roseberry, J. C., Schmeeckle, M. W., and Furbish, D. J.: A probabilistic description of the bed load sediment flux: 2. Particle activity and motions, J. Geophys. Res.-Earth, 117, F03032, https://doi.org/10.1029/2012JF002353, 2012.
Roth, D. L., Doane, T. H., Roering, J. J., Furbish, D. J., and Zettler-Mann, A.: Particle motion on burned and vegetated hillslopes, P. Natl. Acad. Sci., 117, 25335–25343, https://doi.org/10.1073/pnas.1922495117, 2020.
Salevan, J. C., Clark, A. H., Shattuck, M. D., O'Hern, C. S., and Ouellette, N. T.: Determining the onset of hydrodynamic erosion in turbulent flow, Physical Review Fluids, 2, 114302, https://doi.org/10.1103/PhysRevFluids.2.114302, 2017.
Sawai, K.: Dispersion of bed load particles with bed level change, Bulletin of the Disaster Prevention Research Institute, 37, 19–37, 1987.
Schrödinger, E.: Statistical Thermodynamics, Cambridge University Press, Cambridge, 95 pp., 1946.
Schumer, R., Meerschaert, M. M., and Baeumer, B.: Fractional advection-dispersion equations for modeling transport at the Earth surface, J. Geophys. Res.-Earth, 114, F00A07, https://doi.org/10.1029/2008JF001246, 2009.
Schumer, R., Taloni, A., and D. J. Furbish, D. J.: Theory connecting non-local sediment transport, earth surface roughness, and the Sadler effect, Geophys. Res. Lett., 44, 2281–2289, https://doi.org/10.1002/2016GL072134, 2017.
Seizilles, G., Lajeunesse, E., Devauchelle, O., and Bak, M.: Cross-stream diffusion in bedload transport, Phys. Fluids, 26, 013302, https://doi.org/10.1063/1.4861001, 2014.
Serero, D., Gunkelmann, N., and Pöschel, T.: Hydrodynamics of binary mixtures of granular gases with stochastic coefficient of restitution, J. Fluid Mech., 781, 595–621, 2015.
Sochan, A., Łagodowski, Z. A., Nieznaj, E., Beczek, M., Ryzak, M., Mazur, R., Bobrowski, A., and Bieganowski, A.: Splash of solid particles as a stochastic point process, J. Geophys. Res.-Earth, 124, 2475–2490, 2019.
Statham, I.: A scree slope rockfall model, Earth Surf. Process., 1, 43–62, 1976.
Stewart, W. J.: Probablity, Markov Chains, Queues and Simulation: the Mathematical Basis of Performance Modeling, Princeton University Press, Princeton, 776 pp., 2009.
Stronge, W. J.: Impact Mechanics, Cambridge University Press, Cambridge, 280 pp., 2000.
Strunden, J., Ehlers, T. A., Brehm, D., and Nettesheim, M.: Spatial and temporal variations in rockfall determined from TLS measurements in a deglaciated valley, Switzerland, J. Geophys. Res.-Earth, 120, 1251–1273, https://doi.org/10.1002/2014JF003274, 2015.
Sweeney, K. E., Roering, J. J., and Furbish, D. J.: Linking geomorphic process dominance and the persistence of local elevation, J. Geophys. Res.-Earth, 125, e2020JF005525, https://doi.org/10.1029/2020JF005525, 2020.
Tolman, R. C.: The Principles of Statistical Mechanics, Clarendon Press, Oxford, 661 pp., 1938.
Tsujimoto, T.: Probabilistic model of the process of bed load transport and its application to mobile-bed problems, PhD thesis, Kyoto University, Japan, 1978.
Tucker, G. E. and Bradley, D. N.: Trouble with diffusion: Reassessing hillslope erosion laws with a particle-based model, J. Geophys. Res.-Earth, 115, F00A10, https://doi.org/10.1029/2009JF001264, 2010.
Turcotte, D. L.: Self-organized complexity in geomorphology: Observations and models, Geomorphology, 91, 302–310, https://doi.org/10.1016/j.geomorph.2007.04.016, 2007.
Verdian, J. P., Sklar, L. S., Riebe, C. S., and Moore, J. R.: Sediment size on talus slopes correlates with fracture spacing on bedrock cliffs: Implications for predicting initial sediment size distributions on hillslopes, Earth Surf. Dynam. Discuss. [preprint], https://doi.org/10.5194/esurf-2020-54, in review, 2020.
Voepel, H., Schumer, R., and Hassan, M. A.: Sediment residence time distributions: theory and application from bed elevation measurements, J. Geophys. Res.-Earth, 118, 2557–2567, 2013.
von Smoluchowski, M.: Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen, Ann. Phys., 326, 756–780, 1906.
Wigner, E. P.: The unreasonable effectiveness on mathematics in the natural sciences, Commun. Pure Appl. Math., 13, 1–14, 1960.
Wigner, E. P.: Events, Laws of Nature, and Invariance Principles, in: How Far Are We from the Gauge Forces. The Subnuclear Series, edited by: Zichichi, A., 21, Springer, Boston, MA, 1985.
Williams, S. G. W. and Furbish, D. J.: Particle energy partitioning and transverse diffusion during rarefied travel on an experimental hillslope, Earth Surf. Dynam. Discuss. [preprint], https://doi.org/10.5194/esurf-2020-107, in review, 2021.
Wong, M., Parker, G., DeVries, P., Brown, T. M., and Burges, S. J.: Experiments on dispersion of tracer stones under lower-regime planebed equilibrium bed load transport, Water Resour. Res., 43, W03440, https://doi.org/10.1029/2006WR005172, 2007.
Wu, Z., Furbish, D., and Foufoula‐Georgiou, E.: Generalization of hop distance‐time scaling and particle velocity distributions via a two‐regime formalism of bedload particle motions, Water Resour. Res., 56, e2019WR025116, https://doi.org/10.1029/2019WR025116, 2020.
Yu, P., Schröter, M., and Sperl, M.: Velocity distribution of a homogeneously cooling granular gas, Phys. Rev. Lett., 124, 208007, https://doi.org/10.1103/PhysRevLett.124.208007, 2020.
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Using analyses of particle motions on steep hillslopes in three companion papers (Furbish et al., 2021a, 2021b, 2021c), we offer philosophical perspective on the merits of a statistical mechanics framework for describing sediment particle motions and transport, and the implications of rarefied versus continuum transport conditions. We highlight the mechanistic yet probabilistic nature of the approach, and the importance of tailoring the style of thinking to the process and scale of interest.
Using analyses of particle motions on steep hillslopes in three companion papers (Furbish et...