26 results on '"Brett C. Eaton"'
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2. Modulating the lateral migration of a gravel bed channel using the coarse tail of the bed material distribution
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Brett C. Eaton, Lucy G. MacKenzie, and Caitlin Tatham
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Geography, Planning and Development ,Earth and Planetary Sciences (miscellaneous) ,Earth-Surface Processes - Published
- 2022
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3. Evaluation of a geomorphic instream flow tool for conducting hydraulic‐habitat modelling
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Jordan S. Rosenfeld, Stefan Gronsdahl, Brett C. Eaton, Dan McParland, and R. Dan Moore
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0106 biological sciences ,Hydrology ,010504 meteorology & atmospheric sciences ,Habitat ,Flow (mathematics) ,010604 marine biology & hydrobiology ,Environmental Chemistry ,Environmental science ,Fluvial ,01 natural sciences ,0105 earth and related environmental sciences ,General Environmental Science ,Water Science and Technology - Published
- 2021
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4. Channel stability in steep gravel–cobble streams is controlled by the coarse tail of the bed material distribution
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Brett C. Eaton, William H. Booker, and Lucy G. MacKenzie
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Cobble ,Geography, Planning and Development ,Particle-size distribution ,Earth and Planetary Sciences (miscellaneous) ,Material distribution ,Soil science ,STREAMS ,Physical modelling ,Stability (probability) ,Geology ,Earth-Surface Processes ,Communication channel - Published
- 2020
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5. Bioenergetic Habitat Suitability Curves for Instream Flow Modeling: Introducing User‐Friendly Software and its Potential Applications
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Eva C. Enders, Ian G. Jowett, Eric O. Goodwin, Jason R. Neuswanger, Brett C. Eaton, Sean M. Naman, John W. Hayes, and Jordan S. Rosenfeld
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0106 biological sciences ,Habitat suitability ,Database ,010604 marine biology & hydrobiology ,Environmental science ,Aquatic Science ,Flow modeling ,computer.software_genre ,010603 evolutionary biology ,01 natural sciences ,User friendly software ,computer ,Nature and Landscape Conservation - Published
- 2020
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6. Exploitation of Velocity Gradients by Sympatric Stream Salmonids: Basic Insights and Implications for Instream Flow Management
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Eva Jordison, Sean M. Naman, Melanie Kuzyk, Jordan S. Rosenfeld, and Brett C. Eaton
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Ecology ,Sympatric speciation ,Flow management ,Environmental science ,Management, Monitoring, Policy and Law ,Aquatic Science ,Ecology, Evolution, Behavior and Systematics - Published
- 2020
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7. A decadal‐scale numerical model for wandering, cobble‐bedded rivers subject to disturbance
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Marwan A. Hassan, Kathryn Grace De Rego, J. Wesley Lauer, and Brett C. Eaton
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geography ,Disturbance (geology) ,geography.geographical_feature_category ,Oceanography ,Scale (ratio) ,Floodplain ,Cobble ,Geography, Planning and Development ,Earth and Planetary Sciences (miscellaneous) ,Fluvial ,Numerical modeling ,Geology ,Earth-Surface Processes - Published
- 2020
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8. Process feedbacks that control transport capacity at formative flows in laterally-constrained gravel-bed rivers: a laboratory study
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David Lawson Adams and Brett C Eaton
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- 2021
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9. Secondary Geomorphic Processes and their Influence on Alluvial Fan Morphology, Channel Behaviour and Flood Hazards
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Lauren Vincent, Brett C Eaton, Anya S Leenman, and Matthias Jakob
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- 2021
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10. Comparing correlative and bioenergetics‐based habitat suitability models for drift‐feeding fishes
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Sean M. Naman, Jason R. Neuswanger, Jordan S. Rosenfeld, Eva C. Enders, and Brett C. Eaton
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0106 biological sciences ,Correlative ,River ecosystem ,biology ,Ecology ,010604 marine biology & hydrobiology ,Foraging ,Context (language use) ,Aquatic Science ,biology.organism_classification ,010603 evolutionary biology ,01 natural sciences ,Predation ,Trout ,Habitat ,Environmental science ,Oncorhynchus ,14. Life underwater - Abstract
Quantitative habitat suitability models (HSMs) are frequently used to inform the conservation and management of lotic organisms, often in the context of instream flow management. Correlative statistical models relating hydraulic variables to habitat preferences (habitat suitability curves based on use:availability ratios) are the most common form of HSM, but face significant criticism on the grounds that habitat preference may not reflect the fitness consequences of habitat use. Consequently, there has been a drive to develop mechanistic approaches that link habitat to direct correlates of fitness. Bioenergetic foraging models relating hydraulic conditions to energy balance are particularly well‐developed for drift‐feeding fishes (e.g. salmonids) and show promise as a more mechanistic approach to modelling suitability. However, these models are rarely validated empirically or quantitatively compared with correlative HSMs. We addressed these gaps by comparing the ability of a bioenergetics‐based HSM and two correlative HSMs (a traditional suitability index and a resource selection function) to predict density and growth of stream salmonids (juvenile steelhead, Oncorhynchus mykiss, and coastal cutthroat trout, Oncorhynchus clarki). Suitability estimates differed between the approaches, with both correlative models predicting higher suitability relative to the bioenergetic model at shallow depths and low to intermediate velocities, but lower suitability as depth increased. The bioenergetic model explained over 90% of variation in trout growth, compared to c. 50% for the correlative model. The bioenergetic model was also better at predicting fish density; however, the improvement was less striking and a high proportion of variation remained unexplained by either method. Differences in suitability estimates between approaches probably reflect biotic interactions (e.g. territorial displacement or predation risk) that decouple realised habitat use from energetics‐based estimates of habitat quality. Results highlight fundamental differences between correlative HSMs, based on observed habitat use, and mechanistic HSMs, based on the physiology and behaviour of the focal taxa. They also suggest that mechanistic bioenergetics‐based models provide more rigorous estimates of habitat suitability for drift‐feeding stream fishes. The bioenergetics approach is readily accessible to instream flow practitioners because model predictions are expressed in terms of traditional habitat suitability curves.
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- 2019
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11. Mechanisms for avulsion on alluvial fans: Insights from high‐frequency topographic data
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Anya Leenman and Brett C. Eaton
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geography ,geography.geographical_feature_category ,010504 meteorology & atmospheric sciences ,Geography, Planning and Development ,Alluvial fan ,Sediment ,010502 geochemistry & geophysics ,01 natural sciences ,Deposition (geology) ,Avulsion ,Earth and Planetary Sciences (miscellaneous) ,Geomorphology ,Geology ,Channel (geography) ,0105 earth and related environmental sciences ,Earth-Surface Processes - Abstract
Avulsion is a key process in building alluvial fans, but it is also a formidable natural hazard. Based on laboratory experiments monitored with novel high-frequency photogrammetry, we present a new model for avulsion on widely graded gravel fans. Previous experimental studies of alluvial fans have suggested that avulsion occurs in a periodic autogenic cycle, that is thought to be mediated by the gradient of the fan and fan-channel. However, these studies measured gradients at low spatial or temporal resolutions, which capture temporally or spatially averaged topographic evolution. Here, we present high-resolution (1 mm), high-frequency (1-minute) topographic data and orthophotos from an alluvial fan experiment. Avulsions in the experiment were rapid and, in contrast to some previous experimental studies, avulsion occurrence was aperiodic. Moreover, we found little evidence of the back-filling observed at coarser temporal and spatial resolutions. Our observations suggest that avulsion is disproportionately affected by sediment accumulation in the channel, particularly around larger, less mobile grains. Such in-channel deposition can cause channel shifting that interrupts the autogenic avulsion cycle, so that avulsions are aperiodic and their timing is more difficult to predict.
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- 2021
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12. The importance of inter-flood periods on alluvial fan morphology, hazards and reworking
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Anya Leenman, Lauren Vincent, and Brett C. Eaton
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Hydrology ,geography ,geography.geographical_feature_category ,Hydrology (agriculture) ,Flood myth ,Alluvial fan ,Debris ,Geology - Abstract
On steep alluvial fans, debris floods happen rarely but are often catastrophic. Debris floods and their associated hazards are well documented, but the time between flood events has generally been ...
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- 2021
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13. Large grains matter: contrasting bed stability and morphodynamics during two nearly identical experiments
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Lucy G. MacKenzie and Brett C. Eaton
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010504 meteorology & atmospheric sciences ,0208 environmental biotechnology ,Geography, Planning and Development ,Mineralogy ,02 engineering and technology ,STREAMS ,01 natural sciences ,Stability (probability) ,020801 environmental engineering ,Particle-size distribution ,Earth and Planetary Sciences (miscellaneous) ,Shear stress ,Particle ,Alluvium ,Beach morphodynamics ,Geology ,0105 earth and related environmental sciences ,Earth-Surface Processes ,Dimensionless quantity - Abstract
While the stabilizing function of large grains in step-pool streams has long been recognized, the role they play in gravel-bed streams is less clear. Most researchers have ignored the role of large grains in gravel-bed streams, and have assumed that the median bed surface size controls the erodibility of alluvial boundaries. The experiments presented herein challenge this convention. Two experiments were conducted that demonstrate the significant morphodynamic implications of a slight change to the coarse tail of the bed material. The two distributions had the same range of particle sizes, and nearly identical bulk d50 values (1.6 mm); however the d90 of experiment GSD1 was slightly finer (3.7 mm) than that for experiment GSD2 (3.9 mm). Transport rates during GSD1 were nearly four times greater than during GSD2 (even though the dimensionless shear stress was slightly lower), and the channel developed a sinuous pattern with well-developed riffles, pools and bars. During GSD2 the initial rectangular channel remained virtually unchanged for the duration of the experiment. The relative stability of GSD2 seems to be associated with a slightly larger proportion of stable (large) grains on the bed surface: at the beginning of GSD1, 3.5% of the bed was immobile, while almost twice as much of it (6.1%) was immobile at the beginning of GSD2. The results demonstrate that the largest grains (not the median size) exert first-order control on channel stability. Copyright © 2017 John Wiley & Sons, Ltd.
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- 2017
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14. Predicting gravel bed river response to environmental change: the strengths and limitations of a regime-based approach
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Robert G. Millar and Brett C. Eaton
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Hydrology ,010504 meteorology & atmospheric sciences ,Environmental change ,Land use ,0208 environmental biotechnology ,Geography, Planning and Development ,Sediment ,02 engineering and technology ,01 natural sciences ,020801 environmental engineering ,Channel pattern ,Earth and Planetary Sciences (miscellaneous) ,Environmental science ,Sediment transport ,0105 earth and related environmental sciences ,Earth-Surface Processes - Published
- 2016
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15. UAS-based remote sensing of fluvial change following an extreme flood event
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Brett C. Eaton, Chris H. Hugenholtz, and Aaron Tamminga
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Hydrology ,Flood myth ,Geography, Planning and Development ,Fluvial ,Sediment ,Channel pattern ,Earth and Planetary Sciences (miscellaneous) ,Spatial ecology ,River morphology ,Digital elevation model ,Geomorphology ,Geology ,Bank erosion ,Earth-Surface Processes ,Remote sensing - Abstract
The effects of large floods on river morphology are variable and poorly understood. In this study, we apply multi-temporal datasets collected with small unmanned aircraft systems (UASs) to analyze three-dimensional morphodynamic changes associated with an extreme flood event that occurred from 19 to 23 June 2013 on the Elbow River, Alberta. We documented reach-scale spatial patterns of erosion and deposition using high-resolution (4–5 cm/pixel) orthoimagery and digital elevation models (DEMs) produced from photogrammetry. Significant bank erosion and channel widening occurred, with an average elevation change of −0.24 m. The channel pattern was reorganized and overall elevation variation increased as the channel adjusted to full mobilization of most of the bed surface sediments. To test the extent to which geomorphic changes can be predicted from initial conditions, we compared shear stresses from a two-dimensional hydrodynamic model of peak discharge to critical shear stresses for bed surface sediment sizes. We found no relation between modeled normalized shear stresses and patterns of scour and fill, confirming the complex nature of sediment mobilization and flux in high-magnitude events. However, comparing modeled peak flows through the pre- and post-flood topography showed that the flood resulted in an adjustment that contributes to overall stability, with lower percentages of bed area below thresholds for full mobility in the post-flood geomorphic configuration. Overall, this work highlights the potential of UAS-based remote sensing for measuring three-dimensional changes in fluvial settings and provides a detailed analysis of potential relationships between flood forces and geomorphic change. Copyright © 2015 John Wiley & Sons, Ltd.
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- 2015
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16. At-A-Station Hydraulic Geometry Simulator
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Daniel John Mcparland, Brett C. Eaton, and Jordan S. Rosenfeld
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Hydrology ,geography ,geography.geographical_feature_category ,Land use ,Flow (psychology) ,Magnitude (mathematics) ,Geometry ,Habitat ,Range (statistics) ,Environmental Chemistry ,Environmental science ,Stage (hydrology) ,Simulation ,General Environmental Science ,Water Science and Technology ,Communication channel ,Riparian zone - Abstract
Presented in this paper is a hydraulic model that combines a rational regime theory with an at-a-station hydraulic geometry simulator (ASHGS) to predict reach-averaged hydraulic conditions for flows up to but not exceeding the bankfull stage. The hydraulic conditions determined by ASHGS can be paired with an empirical joint frequency distribution equation and applicable habitat suitability indices to generate weighted usable area (WUA) as a function of flow. ASHGS was tested against a 2-dimensional hydrodynamic model (River2D) of a mid-size channel in the Interior Region of British Columbia. By linking ASHGS to a regime model, it becomes possible to evaluate the direction and magnitude of habitat changes associated with a wide range of environmental changes. Our regime model considers flow regime, sediment supply, and riparian vegetation: these governing variables can be used to simulate responses to forest fire, flow regulation and changes in climate and land use. Practitioners can examine ‘what-if’ scenarios that otherwise would be too expensive and time consuming to fully explore. The model boundaries of commonly used data-intensive hydraulic habitat models (e.g. PHABSIM) are not easily adjusted and such models are not designed to estimate future morphological and hydraulic habitat conditions in rivers the undergo significant channel restructuring. The proposed model has the potential to become an accepted flow assessment tool amongst practitioners due to modest data requirements, user-friendliness, and large spatial applicability; it can be used to conduct preliminary assessments of channel altering projects and determine if in-depth habitat assessments are justified.
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- 2014
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17. Hyperspatial Remote Sensing of Channel Reach Morphology and Hydraulic Fish Habitat Using an Unmanned Aerial Vehicle (UAV): A First Assessment in the Context of River Research and Management
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Michel Lapointe, Brett C. Eaton, Aaron Tamminga, and Chris H. Hugenholtz
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Hydrology ,Quadcopter ,010504 meteorology & atmospheric sciences ,0207 environmental engineering ,Context (language use) ,02 engineering and technology ,Vegetation ,01 natural sciences ,Photogrammetry ,River morphology ,Environmental Chemistry ,Environmental science ,Bathymetry ,020701 environmental engineering ,Digital elevation model ,0105 earth and related environmental sciences ,General Environmental Science ,Water Science and Technology ,Communication channel ,Remote sensing - Abstract
In this paper, we assess the capabilities of an unmanned/uninhabited aerial vehicle (UAV) to characterize the channel morphology and hydraulic habitat of a 1-km reach of the Elbow River, Alberta, Canada, with the goal of identifying the advantages and challenges of this technology for river research and management. Using a small quadcopter UAV to acquire overlapping images and softcopy photogrammetry, we constructed a 5-cm resolution orthomosaic image and digital elevation model (DEM). The orthomosaic was used to map the distribution of geomorphic and aquatic habitat features, including bathymetry, grain sizes, undercut banks, forested channel margins, and large wood. The DEM was used to initialize and run River2D, a two-dimensional hydrodynamic model, and resulting depth and velocity distributions were combined with the mapped physical habitat features to produce refined estimates of available habitat in terms of weighted usable area. Based on 297 checkpoints, the vertical root-mean-squared error of the DEM was 8.8 cm in exposed areas and 11.9 cm in submerged areas following correction of the DEM for overprediction of elevations as a result of the refractive effects of water. Overall, we find several advantages of UAV-based imagery including low cost, high efficiency, operational flexibility, high vertical accuracy, and centimetre-scale resolution. We also identify some challenges, including vegetation obstructions of the ground surface, turbidity, which can limit bathymetry extraction, and an immature regulatory landscape, which may slow the adoption of this technology for operational measurements. However, by enabling dynamic linkages between geomorphic processes and aquatic habitat to be established, we believe that the advantages of UAVs make them ideally suited to river research and management. Copyright © 2014 John Wiley & Sons, Ltd.
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- 2014
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18. NSERC's HydroNet: A National Research Network to Promote Sustainable Hydropower and Healthy Aquatic Ecosystems
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Rick Cunjak, Robert G. Randall, Michel Lapointe, Normand Bergeron, Brent Sellars, Paul Higgins, André Saint-Hilaire, Pierre Legendre, Faye Hicks, David Z. Zhu, Gary Swanson, Jeff W. Dawson, George A. Rose, Steven J. Cooke, Karen E. Smokorowski, Roger Wysocki, Daniel Boisclair, Brett C. Eaton, Michael Power, Joseph Rasmussen, Chris Katopodis, Keith D. Clarke, and Nicholas Winfield
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Research program ,Government ,business.industry ,Process (engineering) ,Hydraulic engineering ,Aquatic ecosystem ,Environmental resource management ,Productive capacity ,Aquatic Science ,Water resources ,Environmental science ,business ,Hydropower ,Nature and Landscape Conservation - Abstract
NSERC's HydroNet is a collaborative national five-year research program initiated in 2010 involving academic, government, and industry partners. The overarching goal of HydroNet is to improve the understanding of the effects of hydropower operations on aquatic ecosystems, and to provide scientifically defensible and transparent tools to improve the decision-making process associated with hydropower operations. Multiple projects are imbedded under three themes: 1) Ecosystemic analysis of productive capacity offish habitats (PCFH) in rivers, 2) Mesoscale modelling of the productive capacity offish habitats in lakes and reservoirs, and 3) Predicting the entrainment risk of fish in hydropower reservoirs relative to power generation operations by combining behavioral ecology and hydraulic engineering. The knowledge generated by HydroNet is essential to balance the competing demands for limited water resources and to ensure that hydropower is sustainable, maintains healthy aquatic ecosystems and a vibr...
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- 2011
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19. A rational sediment transport scaling relation based on dimensionless stream power
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Brett C. Eaton and Michael Church
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Entrainment (hydrodynamics) ,Geography, Planning and Development ,Mechanics ,Stream competency ,Earth and Planetary Sciences (miscellaneous) ,Mean flow ,Geotechnical engineering ,Sediment transport ,Scaling ,Stream power ,Geology ,Earth-Surface Processes ,Dimensionless quantity ,Communication channel - Abstract
The concept of stream channel grade – according to which a stream channel reach will adjust its gradient, S, in order to transport the imposed sediment load having magnitude Qb and characteristic grain size Db, with the available discharge Q (Mackin, 1948, Geological Society of America Bulletin59: 463–512; Lane, 1955, American Society of Civil Engineers, Proceedings81: 1–17) is one of the most influential ideas in fluvial geomorphology. Herein, we derive a scaling relation that describes how externally imposed changes in either Qb or Q can be accommodated by changes in the channel configuration, described by the energy gradient, mean flow depth, characteristic grain size and a parameter describing the effect of bed surface structures on grain entrainment. One version of this scaling relation is based on the dimensionless bed material transport parameter (W*) presented by Parker and Klingeman (1982, Water Resources Research18: 1409–1423). An equivalent version is based on a new dimensionless transport parameter (E*) using dimensionless unit stream power. This version is nearly identical to the relation based on W*, except that it is independent of flow resistance. Both versions of the scaling relation are directly comparable to Lane's original relation. In order to generate this stream power-based scaling relation, we derived an empirical transport function relation relating E* to dimensionless stream power using data from a wide range of stable, bed load-dominated channels: the form of that transport function is based on the understanding that, while grain entrainment is related to the forces acting on the bed (described by dimensionless shear stress), sediment transport rate is related to the transfer of momentum from the fluid to the bed material (described by dimensionless stream power). Copyright © 2010 John Wiley & Sons, Ltd.
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- 2010
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20. Linking geomorphic change due to floods to spatial hydraulic habitat dynamics
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Brett C. Eaton and Aaron Tamminga
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0106 biological sciences ,Hydrology ,010504 meteorology & atmospheric sciences ,Ecology ,Habitat ,010604 marine biology & hydrobiology ,Environmental science ,Aquatic Science ,01 natural sciences ,Ecology, Evolution, Behavior and Systematics ,0105 earth and related environmental sciences ,Earth-Surface Processes - Published
- 2018
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21. Forest fire, bank strength and channel instability: the ‘unusual’ response of Fishtrap Creek, British Columbia
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R. D. Moore, T. R. Giles, and Brett C. Eaton
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Hydrology ,geography ,geography.geographical_feature_category ,Geography, Planning and Development ,Earth and Planetary Sciences (miscellaneous) ,Stream flow ,Channel (geography) ,Geology ,Bank erosion ,Earth-Surface Processes - Published
- 2010
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22. Assessing the effect of vegetation-related bank strength on channel morphology and stability in gravel-bed streams using numerical models
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Brett C. Eaton and T. R. Giles
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geography ,geography.geographical_feature_category ,Floodplain ,Geography, Planning and Development ,STREAMS ,Earth and Planetary Sciences (miscellaneous) ,Cohesion (geology) ,Riparian forest ,Alluvium ,Geomorphology ,Dynamic equilibrium ,Geology ,Earth-Surface Processes ,Communication channel ,Dimensionless quantity - Abstract
Bank strength due to vegetation dominates the geometry of small stream channels, but has virtually no effect on the geometry of larger ones. The dependence of bank strength on channel scale affects the form of downstream hydraulic geometry relations and the meandering-braiding threshold. It is also associated with a lateral migration threshold discharge, below which channels do not migrate appreciably across their floodplains. A rational regime model is used to explore these scale effects: it parameterizes vegetation-related bank strength using a dimensionless effective cohesion, Cr*. The scale effects are explored primarily using an alluvial state space defined by the dimensionless formative discharge, Q*, and channel slope, S, which is analogous to the Q–S diagrams originally used to explore meandering-braiding thresholds. The analyses show that the effect of vegetation on both downstream hydraulic geometry and the meandering-braiding threshold is strongest for the smallest streams in a watershed, but that the effect disappears for Q* > 106. The analysis of the migration threshold suggests that the critical discharge ranges from about 5 m3/s to 50 m3/s, depending on the characteristic rooting depth for the vegetation. The analysis also suggests that, where fires frequently affect riparian forests, channels may alternate between laterally stable gravel plane-bed channels and laterally active riffle-pool channels. These channels likely do not exhibit the classic dynamic equilibrium associated with alluvial streams, but instead exhibit a cyclical morphologic evolution, oscillating between laterally stable and laterally unstable end-members with a frequency determined by the forest fire recurrence interval. Copyright © 2008 John Wiley & Sons, Ltd.
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- 2009
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23. Bank stability analysis for regime models of vegetated gravel bed rivers
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Brett C. Eaton
- Subjects
Hydrology ,geography ,geography.geographical_feature_category ,Floodplain ,Geography, Planning and Development ,Stability assessment ,Channel types ,Friction angle ,Earth and Planetary Sciences (miscellaneous) ,Cohesion (geology) ,Slab ,Geology ,Channel (geography) ,Earth-Surface Processes ,Riparian zone - Abstract
A new bank stability analysis procedure is developed for use in rational regime models predicting reach average channel dimensions. The performance of a regime model using this new bank stability formulation is compared against that for a model using the modified friction angle approach proposed by Millar and Quick (1993). The bank stability assessment is based on a conceptual model that more closely represents conditions found in gravel bed rivers with vegetated floodplains: the primary effect of vegetation is its contribution to a stable upper bank, the position of which is determined by erosion of unvegetated bed material at the toe of the bank. The vertical height of the upper bank is estimated using a simple slab failure model and assigning an effective cohesion to the vegetation-reinforced soil. The geometry of the lower slope and the width of the channel are determined iteratively using the regime approach described by Eaton et al. (2004). A comparison of the predicted stream channel widths for stable gravel bed channels classified according to riparian vegetation type (Hey and Thorne, 1986) showed that this new formulation increases model accuracy, especially for the more densely vegetated channel types. Since the strength parameters used in the model can be estimated from the observed bank geometry, the potential for applying and testing rational regime models in the field has been significantly improved. Copyright © 2006 John Wiley & Sons, Ltd.
- Published
- 2006
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24. A conceptual model for meander initiation in bedload-dominated streams
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Brett C. Eaton, Michael Church, and Tim Davies
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Mass flux ,Hydrology ,Scale (ratio) ,Geography, Planning and Development ,Secondary circulation ,Geometry ,Sinuosity ,Stability (probability) ,Attractor ,Earth and Planetary Sciences (miscellaneous) ,Meander ,Sediment transport ,Geology ,Earth-Surface Processes - Abstract
A simple analytic model is presented relating local sediment transport capacity to variance in the transverse shear stress distribution in a stream channel. The model is used to develop a physically based conceptual model for the initiation of meandering in straight, bedload-dominated streams as a result of a feedback mechanism. The feedback maximizes the cross-sectional shear stress variance and – in order to achieve stability – ultimately minimizes the energy slope at repeated locations along the channel, subject to steady-state mass flux and the stability of the channel boundary. These locations develop into pools in a fully developed meandering channel; they represent attractor states wherein sediment continuity is satisfied using the least possible energy expenditure per unit length of channel. However, since the cross-sectional geometry of a pool (and the adjacent bar) is asymmetric, these attractor states are only conditionally stable, requiring strong, curvature-induced secondary circulation to maintain their asymmetry. Between two successive pools, a stream occupies a metastable, higher energy state (corresponding to a riffle) that requires greater energy expenditure per unit length of channel to transport the same volume of sediment. The model we present links processes at the scale of a channel width to adjustments of the channel sinuosity and slope at the scale of a channel reach. We argue that the reach-scale extremal hypotheses employed by rational regime models are mathematical formalisms that permit a one-dimensional theory to describe the three-dimensional dynamics producing stream morphology. Our model is consistent with the results from stream table experiments, with respect to both the rate of development of meandering and the characteristics of the equilibrium channel morphology. Copyright © 2006 John Wiley & Sons, Ltd.
- Published
- 2006
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25. Rational regime model of alluvial channel morphology and response
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Brett C. Eaton, Robert G. Millar, and Michael Church
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Plane (geometry) ,Geography, Planning and Development ,Geometry ,Physics::Geophysics ,symbols.namesake ,Channel pattern ,Earth and Planetary Sciences (miscellaneous) ,Shear stress ,River morphology ,Froude number ,symbols ,Alluvium ,Geomorphology ,Scaling ,Earth-Surface Processes ,Dimensionless quantity ,Mathematics - Abstract
A theoretical model is developed for predicting equilibrium alluvial channel form. The concept of greatest relative stability, achieved by maximizing resistance to flow in the fluvial system, is presented as the basis for an optimization condition for alluvial systems. Discharge, sediment supply (quantity and calibre) and valley gradient are accepted as independent governing variates. The model is used to define a dimensionless alluvial state space characterized by aspect ratio (W/d), relative roughness (D/d), and dimensionless shear stress (τ*) or, equivalently, channel slope (S). Each alluvial state exhibits unique values of Froude number and sediment concentration. The range of alluvial states for constant values of relative bank strength (parameterized by an apparent friction angle, φ′) forms a single plane in the state space (W/d, D/d, τ* or S). The scaling relations produced by the model are consistent with laboratory channels exhibiting a range of bank strengths, and with the behaviour of natural channels. Copyright © 2004 John Wiley & Sons, Ltd.
- Published
- 2004
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26. Scaling and regionalization of flood flows in British Columbia, Canada
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Brett C. Eaton, Michael Church, and Darren Ham
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Return period ,Hydrology ,geography ,geography.geographical_feature_category ,Flood myth ,Discharge ,Snowmelt ,Flood forecasting ,100-year flood ,Drainage basin ,Environmental science ,Surface runoff ,Water Science and Technology - Abstract
A regionalization of flood data in British Columbia reveals a common scaling with drainage area over the range 0·5×102
- Published
- 2002
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