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Gravel‐bed rivers that incise into bedrock are common worldwide. These systems have many similarities with other alluvial channels: they transport large amounts of sediment and adjust their forms in response to discharge and sediment supply. At the same time, the occurrence of bedrock incision implies behaviour that falls on a spectrum between fully detachment‐limited 'bedrock channels' and fully transport‐limited 'alluvial channels'. Here, we present a mathematical model of river profile evolution that integrates bedrock erosion, gravel transport and the formation of channels whose hydraulic geometry is consistent with that of near‐threshold alluvial channels. We combine theory for five interrelated processes: bedload sediment transport in equilibrium gravel‐bed channels, channel width adjustment to flow and sediment characteristics, abrasion of bedrock by mobile sediment, plucking of bedrock and progressive loss of gravel‐sized sediment due to grain attrition. This model contributes to a growing class of models that seek to capture the dynamics of both bedrock incision and alluvial sediment transport. We demonstrate the model's ability to reproduce expected fluvial features such as inverse power law scaling between slope and area, and width and depth consistent with near‐threshold channel theory, and we discuss the role of sediment characteristics in influencing the mode of channel behaviour, erosional mechanism, channel steepness and profile concavity. [ABSTRACT FROM AUTHOR]

Recent theoretical models and field observations suggest that fluvial bedload flux can be estimated from seismic energy measured within appropriate frequency bands. We present an application of the Tsai et al. (2012, https://doi.org/10.1029/2011gl050255) bedload seismic model to an ephemeral channel located in the semi‐arid southwestern US and incorporate modifications to better estimate bedload flux in this environment. To test the model, we collected streambank seismic signals and directly measured bedload flux during four flash‐floods. Bedload predictions calculated by inversion from the Tsai model underestimated bedload flux observations by one‐to‐two orders of magnitude at low stages. However, model predictions were better for moderate flow depths (>50 cm), where saltation is expected to dominate bedload transport. We explored three differences between the model assumptions and our field conditions: (a) rolling and sliding particles have different impact frequencies than saltating particles; (b) the velocity and angle of impact of rolling particles onto the riverbed differ; and (c) the fine‐grained alluvial character of this and similar riverbeds leads to inelastic impacts, as opposed to the originally conceptualized elastic impacts onto rigid bedrock. We modified the original model to assume inelastic bed impacts and to incorporate rolling and sliding by adjusting the statistical distributions of bedload impact frequency, velocity, and angle. Our modified "multiple‐transport‐mode bedload seismic model" decreased error relative to observations to less than one order of magnitude across all measured flow conditions. Further investigations in other environmental settings are required to demonstrate the robustness and general applicability of the model. Plain Language Summary: The conveyance of sediments in rivers, especially of coarse‐grained sediment on the riverbed, is a basic geomorphic mechanism influencing short‐term river ecology, management, and engineering as well as long‐term landscape evolution. To better predict bedload transport rates, researchers have used seismic sensors to record ground vibration due to the impacts of bedload particles on the riverbed. We revised a physics‐based model developed by Tsai et al. (2012, https://doi.org/10.1029/2011gl050255) to estimate bedload sediment transport in an ephemeral channel in the semi‐arid southwestern US. To test the model, we collected nearby seismic signals during flash floods and simultaneously monitored water depth and bedload transport at one‐minute intervals. We modified the original model to better represent alluvial rivers by adding a representation of rolling and sliding particles to the hopping particles already considered in the physics of seismic waves generated by bedload transport. Our modified "multi‐mode bedload seismic model" yields a better result compared to the original Tsai et al. (2012, https://doi.org/10.1029/2011gl050255) model in our test river. The modified model is not only applicable for the ephemeral channels on which this study is focused but also is potentially applicable to a wide range of river conditions in different environmental settings. Key Points: The Tsai et al. (2012, https://doi.org/10.1029/2011gl050255) model underestimates bedload flux at low water depth by 1–2 orders of magnitude in an alluvial channelWe modified the original model to incorporate rolling and sliding by adjusting bedload impact frequency, velocity, and angleThe modified model decreases flux error relative to observations to less than one order of magnitude across all measured water depths [ABSTRACT FROM AUTHOR]

Alluvial river in the piedmont area deposits and incises cyclically, in response to both exogenetic and endogenetic forcing across a range of timescales. The paces of these processes unveil the mechanisms governing the evolution of alluvial fan-river system and affect the policy for river management. Numerical simulation suggests that the incision of alluvial river is much faster than the deposition process. However, the field observations are rare. Alluvial rivers entrench up to 300 m into the alluvial fans built pre-Holocene on the northern piedmont of Chinese Tianshan, which provide ideal sites to unveil the pace of alluvial fan-river evolution. Jingou River is one of these rivers, with four levels of terraces identified at the downstream area. These terrace deposits are characterized by a complex of upper very coarse gravels and cobble (VCGC) unit and lower medium and coarse gravels (MCG) unit. In this study, potassium-feldspar (K-feldspar) single grain pIR 110 IR 170 luminescence dating procedure was employed to date the samples taken from sandy lens of both upper VCGC and lower MCG units, for which the depositional ages are supposed to be associated with the fan-building and river incision processes, respectively. The luminescence ages of the lower MCG unit suggests a gradual fan building phase between 16 ± 1.9 ka and 8.1 ± 0.9 ka, while the ages of the upper VCGC unit cluster around ∼5.2 ka rather than a monotonic decrease towards low level terraces. Several scenarios are discussed with respect to the attained age sequences to unravel the pace of deposition and incision of Jingou River, of which the asymmetric aggradation and incision is more preferred and echoes to the finding of previous numerical investigation. [ABSTRACT FROM AUTHOR]