Research article 04 Jun 2020
Research article | 04 Jun 2020
Dimensional analysis of a landscape evolution model with incision threshold
Nikos Theodoratos and James W. Kirchner
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Nikos Theodoratos and James W. Kirchner
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2020-45, https://doi.org/10.5194/esurf-2020-45, 2020
Revised manuscript under review for ESurf
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We examine stream-power incision and linear diffusion landscape evolution models, with and without incision thresholds. We present a steady-state relationship between curvature and the steepness index, which plots as a straight line. We view this line as a counterpart to the slope–area relationship for the case of landscapes with hillslope diffusion. We show that simple shifts and rotations of such lines express graphically the topographic response of landscapes to changes in model parameters.
Nikos Theodoratos, Hansjörg Seybold, and James W. Kirchner
Earth Surf. Dynam., 6, 779–808, https://doi.org/10.5194/esurf-6-779-2018, https://doi.org/10.5194/esurf-6-779-2018, 2018
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We perform dimensional analysis on a frequently used landscape evolution model (LEM). Defining characteristic scales in a novel way, we significantly simplify the LEM and develop an efficient numerical modeling approach. Our characteristic scales are physically meaningful; they quantify competitions between landscape-forming processes and are related to salient properties of landscape topography. Dimensional analyses of other LEMs may benefit from our approach in defining characteristic scales.
Scott T. Allen and James W. Kirchner
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2020-683, https://doi.org/10.5194/hess-2020-683, 2021
Preprint under review for HESS
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Extracting water from plant stems can introduce analytical errors in isotope analyses. We demonstrate that sensitivities to suspected errors can be evaluated and that conclusions drawn from extracted plant water isotope ratios are neither generally valid nor generally invalid. Ultimately, imperfect measurements of plant and soil water isotope ratios can continue to support useful inferences if study designs are appropriately matched to their likely biases and uncertainties.
Jana von Freyberg, Julia L. A. Knapp, Andrea Rücker, Bjørn Studer, and James W. Kirchner
Hydrol. Earth Syst. Sci., 24, 5821–5834, https://doi.org/10.5194/hess-24-5821-2020, https://doi.org/10.5194/hess-24-5821-2020, 2020
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Automated water samplers are often used to collect precipitation and streamwater samples for subsequent isotope analysis, but the isotopic signal of these samples may be altered due to evaporative fractionation occurring during the storage inside the autosamplers in the field. In this article we present and evaluate a cost-efficient modification to the Teledyne ISCO automated water sampler that prevents isotopic enrichment through evaporative fractionation of the water samples.
Joost Buitink, Lieke A. Melsen, James W. Kirchner, and Adriaan J. Teuling
Geosci. Model Dev., 13, 6093–6110, https://doi.org/10.5194/gmd-13-6093-2020, https://doi.org/10.5194/gmd-13-6093-2020, 2020
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This paper presents a new distributed hydrological model: the distributed simple dynamical systems (dS2) model. The model is built with a focus on computational efficiency and is therefore able to simulate basins at high spatial and temporal resolution at a low computational cost. Despite the simplicity of the model concept, it is able to correctly simulate discharge in both small and mesoscale basins.
James W. Kirchner and Julia L. A. Knapp
Hydrol. Earth Syst. Sci., 24, 5539–5558, https://doi.org/10.5194/hess-24-5539-2020, https://doi.org/10.5194/hess-24-5539-2020, 2020
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Ensemble hydrograph separation is a powerful new tool for measuring the age distribution of streamwater. However, the calculations are complex and may be difficult for researchers to implement on their own. Here we present scripts that perform these calculations in either MATLAB or R so that researchers do not need to write their own codes. We explain how these scripts work and how to use them. We demonstrate several potential applications using a synthetic catchment data set.
Marius G. Floriancic, Wouter R. Berghuijs, Tobias Jonas, James W. Kirchner, and Peter Molnar
Hydrol. Earth Syst. Sci., 24, 5423–5438, https://doi.org/10.5194/hess-24-5423-2020, https://doi.org/10.5194/hess-24-5423-2020, 2020
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Low river flows affect societies and ecosystems. Here we study how precipitation and potential evapotranspiration shape low flows across a network of 380 Swiss catchments. Low flows in these rivers typically result from below-average precipitation and above-average potential evapotranspiration. Extreme low flows result from long periods of the combined effects of both drivers.
James W. Kirchner, Sarah E. Godsey, Madeline Solomon, Randall Osterhuber, Joseph R. McConnell, and Daniele Penna
Hydrol. Earth Syst. Sci., 24, 5095–5123, https://doi.org/10.5194/hess-24-5095-2020, https://doi.org/10.5194/hess-24-5095-2020, 2020
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Streams and groundwaters often show daily cycles in response to snowmelt and evapotranspiration. These typically have a roughly 6 h time lag, which is often interpreted as a travel-time lag. Here we show that it is instead primarily a phase lag that arises because aquifers integrate their inputs over time. We further show how these cycles shift seasonally, mirroring the springtime retreat of snow cover to higher elevations and the seasonal advance and retreat of photosynthetic activity.
Elham Rouholahnejad Freund, Massimiliano Zappa, and James W. Kirchner
Hydrol. Earth Syst. Sci., 24, 5015–5025, https://doi.org/10.5194/hess-24-5015-2020, https://doi.org/10.5194/hess-24-5015-2020, 2020
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Evapotranspiration (ET) is the largest flux from the land to the atmosphere and thus contributes to Earth's energy and water balance. Due to its impact on atmospheric dynamics, ET is a key driver of droughts and heatwaves. In this paper, we demonstrate how averaging over land surface heterogeneity contributes to substantial overestimates of ET fluxes. We also demonstrate how one can correct for the effects of small-scale heterogeneity without explicitly representing it in land surface models.
Nikos Theodoratos and James W. Kirchner
Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2020-45, https://doi.org/10.5194/esurf-2020-45, 2020
Revised manuscript under review for ESurf
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We examine stream-power incision and linear diffusion landscape evolution models, with and without incision thresholds. We present a steady-state relationship between curvature and the steepness index, which plots as a straight line. We view this line as a counterpart to the slope–area relationship for the case of landscapes with hillslope diffusion. We show that simple shifts and rotations of such lines express graphically the topographic response of landscapes to changes in model parameters.
Julia L. A. Knapp, Jana von Freyberg, Bjørn Studer, Leonie Kiewiet, and James W. Kirchner
Hydrol. Earth Syst. Sci., 24, 2561–2576, https://doi.org/10.5194/hess-24-2561-2020, https://doi.org/10.5194/hess-24-2561-2020, 2020
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Changes of stream water chemistry in response to discharge changes provide important insights into the storage and release of water from the catchment. Here we investigate the variability in concentration–discharge relationships among different solutes and hydrologic events and relate it to catchment conditions and dominant water sources.
Elham Rouholahnejad Freund, Ying Fan, and James W. Kirchner
Hydrol. Earth Syst. Sci., 24, 1927–1938, https://doi.org/10.5194/hess-24-1927-2020, https://doi.org/10.5194/hess-24-1927-2020, 2020
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Evapotranspiration (ET) rates and properties that regulate them are spatially heterogeneous. Averaging over spatial heterogeneity in precipitation (P) and potential evapotranspiration (PET) as the main drivers of ET may lead to biased estimates of energy and water fluxes from the land to the atmosphere. We show that this bias is largest in mountainous terrains, in regions with temperate climates and dry summers, and in landscapes where spatial variations in P and PET are inversely correlated.
Francesc Gallart, Jana von Freyberg, María Valiente, James W. Kirchner, Pilar Llorens, and Jérôme Latron
Hydrol. Earth Syst. Sci., 24, 1101–1107, https://doi.org/10.5194/hess-24-1101-2020, https://doi.org/10.5194/hess-24-1101-2020, 2020
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How catchments store and release rain or melting water is still not well known. Now, it is broadly accepted that most of the water in streams is older than several months, and a relevant part may be many years old. But the age of water depends on the stream regime, being usually younger during high flows. This paper tries to provide tools for better analysing how the age of waters varies with flow in a catchment and for comparing the behaviour of catchments diverging in climate, size and regime.
James W. Kirchner and Scott T. Allen
Hydrol. Earth Syst. Sci., 24, 17–39, https://doi.org/10.5194/hess-24-17-2020, https://doi.org/10.5194/hess-24-17-2020, 2020
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Perhaps the oldest question in hydrology is
Where does water go when it rains?. Here we present a new way to measure how the terrestrial water cycle partitions precipitation into its two ultimate fates:
green waterthat is evaporated or transpired back to the atmosphere and
blue waterthat is discharged to stream channels. Our analysis may help in gauging the vulnerability of both water resources and terrestrial ecosystems to changes in rainfall patterns.
H. J. Ilja van Meerveld, James W. Kirchner, Marc J. P. Vis, Rick S. Assendelft, and Jan Seibert
Hydrol. Earth Syst. Sci., 23, 4825–4834, https://doi.org/10.5194/hess-23-4825-2019, https://doi.org/10.5194/hess-23-4825-2019, 2019
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Flowing stream networks extend and retract seasonally and in response to precipitation. This affects the distances and thus the time that it takes a water molecule to reach the flowing stream and the stream outlet. When the network is fully extended, the travel times are short, but when the network retracts, the travel times become longer and more uniform. These dynamics should be included when modeling solute or pollutant transport.
Julia L. A. Knapp, Colin Neal, Alessandro Schlumpf, Margaret Neal, and James W. Kirchner
Hydrol. Earth Syst. Sci., 23, 4367–4388, https://doi.org/10.5194/hess-23-4367-2019, https://doi.org/10.5194/hess-23-4367-2019, 2019
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We describe, present, and make publicly available two extensive data sets of stable water isotopes in streamwater and precipitation at Plynlimon, Wales, consisting of measurements at 7-hourly intervals for 17 months and at weekly intervals for 4.25 years. We use these data to calculate new water fractions and transit time distributions for different discharge rates and seasons, thus quantifying the contribution of recent precipitation to streamflow under different conditions.
Scott T. Allen, Scott Jasechko, Wouter R. Berghuijs, Jeffrey M. Welker, Gregory R. Goldsmith, and James W. Kirchner
Hydrol. Earth Syst. Sci., 23, 3423–3436, https://doi.org/10.5194/hess-23-3423-2019, https://doi.org/10.5194/hess-23-3423-2019, 2019
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We developed global maps that concisely quantify the seasonality of stable isotope ratios in precipitation, using data from 653 meteorological stations across all seven continents. We make these gridded global maps publicly available to support diverse stable isotope applications.
Andrea Rücker, Stefan Boss, James W. Kirchner, and Jana von Freyberg
Hydrol. Earth Syst. Sci., 23, 2983–3005, https://doi.org/10.5194/hess-23-2983-2019, https://doi.org/10.5194/hess-23-2983-2019, 2019
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To better understand how rain-on-snow (ROS) events affect snowpack outflow volumes and streamflow generation, we measured snowpack outflow volumes and isotopic composition during 10 ROS events with automated snowmelt lysimeters at three locations in a pre-Alpine catchment. We quantified the spatio-temporal variability of snowpack outflow and its relative contribution to streamflow, and identified rainfall characteristics and initial snow depth as major controls on snow hydrological processes.
Scott T. Allen, James W. Kirchner, Sabine Braun, Rolf T. W. Siegwolf, and Gregory R. Goldsmith
Hydrol. Earth Syst. Sci., 23, 1199–1210, https://doi.org/10.5194/hess-23-1199-2019, https://doi.org/10.5194/hess-23-1199-2019, 2019
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We used stable isotopes of xylem water to study differences in the seasonal origin of water in more than 900 individual trees from three dominant species in 182 Swiss forested sites. We discovered that midsummer transpiration was mostly supplied by winter precipitation across diverse humid climates. Our findings provide new insights into tree vulnerability to droughts, transport of water (and thus solutes) in soils, and the climatic information conveyed by plant-tissue isotopes.
James W. Kirchner
Hydrol. Earth Syst. Sci., 23, 303–349, https://doi.org/10.5194/hess-23-303-2019, https://doi.org/10.5194/hess-23-303-2019, 2019
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How long does it take for raindrops to become streamflow? Here I propose a new approach to this old problem. I show how we can use time series of isotope data to measure the average fraction of same-day rainfall appearing in streamflow, even if this fraction varies greatly from rainstorm to rainstorm. I show that we can quantify how this fraction changes from small rainstorms to big ones, and from high flows to low flows, and how it changes with the lag time between rainfall and streamflow.
Jana von Freyberg, Bjørn Studer, Michael Rinderer, and James W. Kirchner
Hydrol. Earth Syst. Sci., 22, 5847–5865, https://doi.org/10.5194/hess-22-5847-2018, https://doi.org/10.5194/hess-22-5847-2018, 2018
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We show event- and pre-event-water volumes as fractions of precipitation, rather than discharge, to provide an alternative and more insightful approach to study catchment hydrological processes. For this, we analyze 24 storm events using high-frequency measurements of stable water isotopes in stream water and precipitation at a pre-Alpine catchment. Antecedent wetness and storm characteristics are dominant controls on event-water discharge and pre-event-water mobilization from storage.
Daniele Penna, Luisa Hopp, Francesca Scandellari, Scott T. Allen, Paolo Benettin, Matthias Beyer, Josie Geris, Julian Klaus, John D. Marshall, Luitgard Schwendenmann, Till H. M. Volkmann, Jana von Freyberg, Anam Amin, Natalie Ceperley, Michael Engel, Jay Frentress, Yamuna Giambastiani, Jeff J. McDonnell, Giulia Zuecco, Pilar Llorens, Rolf T. W. Siegwolf, Todd E. Dawson, and James W. Kirchner
Biogeosciences, 15, 6399–6415, https://doi.org/10.5194/bg-15-6399-2018, https://doi.org/10.5194/bg-15-6399-2018, 2018
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Understanding how water flows through ecosystems is needed to provide society and policymakers with the scientific background to manage water resources sustainably. Stable isotopes of hydrogen and oxygen in water are a powerful tool for tracking water fluxes, although the heterogeneity of natural systems and practical methodological issues still limit their full application. Here, we examine the challenges in this research field and highlight new perspectives based on interdisciplinary research.
Nikos Theodoratos, Hansjörg Seybold, and James W. Kirchner
Earth Surf. Dynam., 6, 779–808, https://doi.org/10.5194/esurf-6-779-2018, https://doi.org/10.5194/esurf-6-779-2018, 2018
Short summary
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We perform dimensional analysis on a frequently used landscape evolution model (LEM). Defining characteristic scales in a novel way, we significantly simplify the LEM and develop an efficient numerical modeling approach. Our characteristic scales are physically meaningful; they quantify competitions between landscape-forming processes and are related to salient properties of landscape topography. Dimensional analyses of other LEMs may benefit from our approach in defining characteristic scales.
Jana von Freyberg, Scott T. Allen, Stefan Seeger, Markus Weiler, and James W. Kirchner
Hydrol. Earth Syst. Sci., 22, 3841–3861, https://doi.org/10.5194/hess-22-3841-2018, https://doi.org/10.5194/hess-22-3841-2018, 2018
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We explored how the fraction of streamflow younger than ca. 3 months (Fyw) varies with landscape characteristics and climatic forcing, using an extensive isotope data set from 22 Swiss catchments. Overall, Fyw tends to be larger when catchments are wet and discharge is correspondingly higher, indicating an increase in the proportional contribution of faster flow paths at higher flows. We quantify this
discharge sensitivityof Fyw and relate it to the dominant streamflow-generating mechanisms.
Paolo Benettin, Till H. M. Volkmann, Jana von Freyberg, Jay Frentress, Daniele Penna, Todd E. Dawson, and James W. Kirchner
Hydrol. Earth Syst. Sci., 22, 2881–2890, https://doi.org/10.5194/hess-22-2881-2018, https://doi.org/10.5194/hess-22-2881-2018, 2018
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Evaporation causes the isotopic composition of soil water to become different from that of the original precipitation source. If multiple samples originating from the same source are available, they can be used to reconstruct the original source composition. However, soil water is influenced by seasonal variability in both precipitation sources and evaporation patterns. We show that this variability, if not accounted for, can lead to biased estimates of the precipitation source water.
Albrecht von Boetticher, Jens M. Turowski, Brian W. McArdell, Dieter Rickenmann, Marcel Hürlimann, Christian Scheidl, and James W. Kirchner
Geosci. Model Dev., 10, 3963–3978, https://doi.org/10.5194/gmd-10-3963-2017, https://doi.org/10.5194/gmd-10-3963-2017, 2017
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The open-source fluid dynamic solver presented in v. Boetticher et al. (2016) combines a Coulomb viscosplastic rheological model with a Herschel–Bulkley model based on material properties for 3-D debris flow simulations. Here, we validate the solver and illustrate the model sensitivity to water content, channel curvature, content of fine material and channel bed roughness. We simulate both laboratory-scale and large-scale debris-flow experiments, using only one of the two calibration parameters.
Jana von Freyberg, Bjørn Studer, and James W. Kirchner
Hydrol. Earth Syst. Sci., 21, 1721–1739, https://doi.org/10.5194/hess-21-1721-2017, https://doi.org/10.5194/hess-21-1721-2017, 2017
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We present a newly developed instrument package that enables the online analysis of stable water isotopes and major ion chemistry at 30 min intervals in the field. The resulting data streams provide an unprecedented view of hydrochemical dynamics on the catchment scale. Based on a detailed analysis of the variable behavior of isotopic and chemical tracers in stream water and precipitation over a 4-week period, we developed a conceptual hypothesis for runoff generation in the studied catchment.
Elham Rouholahnejad Freund and James W. Kirchner
Hydrol. Earth Syst. Sci., 21, 217–233, https://doi.org/10.5194/hess-21-217-2017, https://doi.org/10.5194/hess-21-217-2017, 2017
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Our analysis shows that averaging over sub-grid heterogeneity in precipitation and potential evapotranspiration (ET), as typical earth system models do, overestimates the average of the spatially variable ET. We also show when aridity index increases with altitude, lateral redistribution would transfer water from more humid uplands to more arid lowlands, resulting in a net increase in ET. Therefore, the Earth system models that neglect lateral transfer underestimate ET in those regions.
Alexander R. Beer, James W. Kirchner, and Jens M. Turowski
Earth Surf. Dynam., 4, 885–894, https://doi.org/10.5194/esurf-4-885-2016, https://doi.org/10.5194/esurf-4-885-2016, 2016
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Spatial bedrock erosion data from stream channels are important for engineering issues and landscape evolution model assessment. However, acquiring such data is challenging and only few data sets exist. Detecting changes in repeated photographs of painted bedrock surfaces easily allows for semi-quantitative conclusions on the spatial distribution of sediment transport and its effects: abrasion on surfaces facing the streamflow and shielding of surfaces by abundant sediment.
Albrecht von Boetticher, Jens M. Turowski, Brian W. McArdell, Dieter Rickenmann, and James W. Kirchner
Geosci. Model Dev., 9, 2909–2923, https://doi.org/10.5194/gmd-9-2909-2016, https://doi.org/10.5194/gmd-9-2909-2016, 2016
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Debris flows are characterized by unsteady flows of water with different content of clay, silt, sand, gravel, and large particles, resulting in a dense moving mixture mass. Here we present a three-dimensional fluid dynamic solver that simulates the flow as a mixture of a pressure-dependent rheology model of the gravel mixed with a Herschel–Bulkley rheology of the fine material suspension. We link rheological parameters to the material composition. The user must specify two free model parameters.
J. W. Kirchner
Hydrol. Earth Syst. Sci., 20, 279–297, https://doi.org/10.5194/hess-20-279-2016, https://doi.org/10.5194/hess-20-279-2016, 2016
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Catchment mean transit times have been widely inferred from seasonal cycles of environmental tracers in precipitation and streamflow. Here I show that these cycles yield strongly biased estimates of mean transit times in spatially heterogeneous catchments (and, by implication, in real-world catchments). However, I also show that these cycles can be used to reliably estimate the fraction of "young" water in streamflow, meaning water that fell as precipitation less than roughly 2–3 months ago.
J. W. Kirchner
Hydrol. Earth Syst. Sci., 20, 299–328, https://doi.org/10.5194/hess-20-299-2016, https://doi.org/10.5194/hess-20-299-2016, 2016
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Here I show that seasonal tracer cycles yield strongly biased estimates of mean transit times in nonstationary catchments (and, by implication, in real-world catchments). However, they can be used to reliably estimate the fraction of "young" water in streamflow, meaning water that fell as precipitation less than roughly 2–3 months ago. This young water fraction varies systematically between high and low flows and may help in characterizing controls on stream chemistry.
F. Kobierska, T. Jonas, J. W. Kirchner, and S. M. Bernasconi
Hydrol. Earth Syst. Sci., 19, 3681–3693, https://doi.org/10.5194/hess-19-3681-2015, https://doi.org/10.5194/hess-19-3681-2015, 2015
A. von Boetticher, J. M. Turowski, B. W. McArdell, D. Rickenmann, M. Hürlimann, C. Scheidl, and J. W. Kirchner
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmdd-8-6379-2015, https://doi.org/10.5194/gmdd-8-6379-2015, 2015
Preprint withdrawn
F. U. M. Heimann, D. Rickenmann, J. M. Turowski, and J. W. Kirchner
Earth Surf. Dynam., 3, 15–34, https://doi.org/10.5194/esurf-3-15-2015, https://doi.org/10.5194/esurf-3-15-2015, 2015
F. U. M. Heimann, D. Rickenmann, M. Böckli, A. Badoux, J. M. Turowski, and J. W. Kirchner
Earth Surf. Dynam., 3, 35–54, https://doi.org/10.5194/esurf-3-35-2015, https://doi.org/10.5194/esurf-3-35-2015, 2015
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Earth Surf. Dynam. Discuss., https://doi.org/10.5194/esurf-2020-75, https://doi.org/10.5194/esurf-2020-75, 2020
Revised manuscript under review for ESurf
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Despite a history of landslide damming and flash floods in the NW Himalaya, few studies have been performed. This study provides an insight into potential landslide damming sites in the Satluj valley, NW Himalaya using field observations, laboratory analysis, empirical data based geomorphic proxies, and numerical simulation. Five landslides comprising a total landslide volume of 26.3 ± 6.7 M m3 are found to have the potential to block the river.
Richard Barnes, Kerry L. Callaghan, and Andrew D. Wickert
Earth Surf. Dynam., 8, 431–445, https://doi.org/10.5194/esurf-8-431-2020, https://doi.org/10.5194/esurf-8-431-2020, 2020
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Maps of elevation are used to help predict the flow of water so we can better understand landslides, floods, and global climate change. However, modeling the flow of water is difficult when elevation maps include swamps, lakes, and other depressions. This paper explains a new method that overcomes these difficulties, allowing models to run faster and more accurately.
Stefan Hergarten
Earth Surf. Dynam., 8, 367–377, https://doi.org/10.5194/esurf-8-367-2020, https://doi.org/10.5194/esurf-8-367-2020, 2020
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Models of fluvial erosion have a long history in landform evolution modeling. Interactions between rivers and processes acting at hillslopes (e.g., landslides) are receiving growing interest in this context. While present-day computer capacities allow for applying such coupled models, there is still a scaling problem when considering rivers to be linear elements on a topography. Based on a reinterpretation of old empirical results, this study presents a new approach to overcome this problem.
Sara Savi, Stefanie Tofelde, Andrew D. Wickert, Aaron Bufe, Taylor F. Schildgen, and Manfred R. Strecker
Earth Surf. Dynam., 8, 303–322, https://doi.org/10.5194/esurf-8-303-2020, https://doi.org/10.5194/esurf-8-303-2020, 2020
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Fluvial deposits record changes in water and sediment supply. As such, they are often used to reconstruct the tectonic or climatic history of a basin. In this study we used an experimental setting to analyze how fluvial deposits register changes in water or sediment supply at a confluence zone. We provide a new conceptual framework that may help understanding the construction of these deposits under different forcings conditions, information crucial to correctly inferring the history of a basin.
Dirk Scherler and Wolfgang Schwanghart
Earth Surf. Dynam., 8, 245–259, https://doi.org/10.5194/esurf-8-245-2020, https://doi.org/10.5194/esurf-8-245-2020, 2020
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Drainage divides are believed to provide clues about divide migration and the instability of landscapes. Here, we present a novel approach to extract drainage divides from digital elevation models and to order them in a drainage divide network. We present our approach by studying natural and artificial landscapes generated with a landscape evolution model and disturbed to induce divide migration.
Dirk Scherler and Wolfgang Schwanghart
Earth Surf. Dynam., 8, 261–274, https://doi.org/10.5194/esurf-8-261-2020, https://doi.org/10.5194/esurf-8-261-2020, 2020
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Drainage divides are believed to provide clues about divide migration and the instability of landscapes. Here, we present a novel approach to extract drainage divides from digital elevation models and to order them in a drainage divide network. We present our approach by studying natural and artificial landscapes generated with a landscape evolution model and disturbed to induce divide migration.
Vincent Godard, Jean-Claude Hippolyte, Edward Cushing, Nicolas Espurt, Jules Fleury, Olivier Bellier, Vincent Ollivier, and the ASTER Team
Earth Surf. Dynam., 8, 221–243, https://doi.org/10.5194/esurf-8-221-2020, https://doi.org/10.5194/esurf-8-221-2020, 2020
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Slow-slipping faults are often difficult to identify in landscapes. Here we analyzed high-resolution topographic data from the Valensole area at the front of the southwestern French Alps. We measured various properties of hillslopes such as their relief and the shape of hilltops. We observed systematic spatial variations of hillslope morphology indicative of relative changes in erosion rates. These variations are potentially related to slow tectonic deformation across the studied area.
Helen W. Beeson and Scott W. McCoy
Earth Surf. Dynam., 8, 123–159, https://doi.org/10.5194/esurf-8-123-2020, https://doi.org/10.5194/esurf-8-123-2020, 2020
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We used a computer model to show that, when a landscape is tilted, rivers respond in a distinct way such that river profiles take on unique forms that record tilt timing and magnitude. Using this suite of river forms, we estimated tilt timing and magnitude in the Sierra Nevada, USA, and results were consistent with independent measures. Our work broadens the scope of tectonic histories that can be extracted from landscape form to include tilting, which has been documented in diverse locations.
Georg Trost, Jörg Robl, Stefan Hergarten, and Franz Neubauer
Earth Surf. Dynam., 8, 69–85, https://doi.org/10.5194/esurf-8-69-2020, https://doi.org/10.5194/esurf-8-69-2020, 2020
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The evolution of the drainage system in the Eastern Alps is inherently linked to different tectonic stages. This leads to a situation in which major orogen-parallel alpine rivers, such as the Salzach and the Enns, are characterized by elongated east–west-oriented catchments. We investigate the stability of present-day drainage divides and the stability of reconstructed paleo-drainage systems. Our results indicate a progressive stability of the network towards the present-day situation.
Philippe Steer, Thomas Croissant, Edwin Baynes, and Dimitri Lague
Earth Surf. Dynam., 7, 681–706, https://doi.org/10.5194/esurf-7-681-2019, https://doi.org/10.5194/esurf-7-681-2019, 2019
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We use a statistical earthquake generator to investigate the influence of fault activity on river profile development and on the formation of co-seismic knickpoints. We find that the magnitude distribution of knickpoints resulting from a purely seismic fault is homogeneous. Shallow aseismic slip favours knickpoints generated by large-magnitude earthquakes nucleating at depth. Accounting for fault burial by alluvial cover can modulate the topographic expression of earthquakes and fault activity.
Guillaume Cordonnier, Benoît Bovy, and Jean Braun
Earth Surf. Dynam., 7, 549–562, https://doi.org/10.5194/esurf-7-549-2019, https://doi.org/10.5194/esurf-7-549-2019, 2019
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We propose a new algorithm to solve the problem of flow routing across local depressions in the topography, one of the main computational bottlenecks in landscape evolution models. Our solution is more efficient than the state-of-the-art algorithms, with an optimal linear asymptotic complexity. The algorithm has been designed specifically to be used within landscape evolution models, and also suits more generally the efficient treatment of large digital elevation models.
Meng Zhao, Gerard Salter, Vaughan R. Voller, and Shuwang Li
Earth Surf. Dynam., 7, 505–513, https://doi.org/10.5194/esurf-7-505-2019, https://doi.org/10.5194/esurf-7-505-2019, 2019
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Typically, we think of a shoreline growing with a smooth line separating the land and the water. If the growth is unstable, however, the land–water front will exhibit a roughness that grows with time. Here we ask whether the growth of deltaic shorelines cab be unstable. Through mathematical analysis we show that growth is unstable when the shoreline is building onto an adverse slope. The length scale of the unstable signal in such a case, however, might be obscured by other geomorphic processes.
Kristyna Falatkova, Miroslav Šobr, Anton Neureiter, Wolfgang Schöner, Bohumír Janský, Hermann Häusler, Zbyněk Engel, and Vojtěch Beneš
Earth Surf. Dynam., 7, 301–320, https://doi.org/10.5194/esurf-7-301-2019, https://doi.org/10.5194/esurf-7-301-2019, 2019
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In the last 50 years the Adygine glacier has been subject to relatively fast recession comparable to other glaciers in Tien Shan. As a consequence, a three-level cascade of glacial lakes formed, two of which were categorised as having medium outburst susceptibility. By 2050, the glacier is expected to have shrunk to 56–73 % of its 2012 extent. Further development of the site will result in formation of new lakes and probably also increase of outburst susceptibility due to permafrost degradation.
Andrin Caviezel, Sophia E. Demmel, Adrian Ringenbach, Yves Bühler, Guang Lu, Marc Christen, Claire E. Dinneen, Lucie A. Eberhard, Daniel von Rickenbach, and Perry Bartelt
Earth Surf. Dynam., 7, 199–210, https://doi.org/10.5194/esurf-7-199-2019, https://doi.org/10.5194/esurf-7-199-2019, 2019
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In rockfall hazard assessment, knowledge about the precise flight path of assumed boulders is vital for its accuracy. We present the full reconstruction of artificially induced rockfall events. The extracted information such as exact velocities, jump heights and lengths provide detailed insights into how rotating rocks interact with the ground. The information serves as future calibration of rockfall modelling tools with the goal of even more realistic modelling predictions.
John J. Armitage
Earth Surf. Dynam., 7, 67–75, https://doi.org/10.5194/esurf-7-67-2019, https://doi.org/10.5194/esurf-7-67-2019, 2019
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Landscape evolution models (LEMs) aim to capture an aggregation of the processes of erosion and deposition and predict evolving topography. A key aspect of any LEM is how water is chosen to be routed down the surface, which can impact the model results and, importantly, the numerical accuracy. I find that by treating flow as lines within the model domain and by distributing water down all slopes, the results are independent of resolution, pointing to a new method to model landscape evolution.
Ivar R. Lokhorst, Lisanne Braat, Jasper R. F. W. Leuven, Anne W. Baar, Mijke van Oorschot, Sanja Selaković, and Maarten G. Kleinhans
Earth Surf. Dynam., 6, 883–901, https://doi.org/10.5194/esurf-6-883-2018, https://doi.org/10.5194/esurf-6-883-2018, 2018
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In estuaries, mud sedimentation enhances salt marsh accretion. Here we explore system-scale effects of plants and mud on planform shape and size of estuaries. We coupled Delft3D for hydromorphodynamics with our vegetation model and ran controls for comparison. Effects are greatest at the fluvial–tidal transition, where for the first time in a model, a bedload convergence zone formed. Regardless of local vegetation effects, mud and vegetation cause gradual filling of estuaries over time.
Nikos Theodoratos, Hansjörg Seybold, and James W. Kirchner
Earth Surf. Dynam., 6, 779–808, https://doi.org/10.5194/esurf-6-779-2018, https://doi.org/10.5194/esurf-6-779-2018, 2018
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We perform dimensional analysis on a frequently used landscape evolution model (LEM). Defining characteristic scales in a novel way, we significantly simplify the LEM and develop an efficient numerical modeling approach. Our characteristic scales are physically meaningful; they quantify competitions between landscape-forming processes and are related to salient properties of landscape topography. Dimensional analyses of other LEMs may benefit from our approach in defining characteristic scales.
Gregory E. Tucker, Scott W. McCoy, and Daniel E. J. Hobley
Earth Surf. Dynam., 6, 563–582, https://doi.org/10.5194/esurf-6-563-2018, https://doi.org/10.5194/esurf-6-563-2018, 2018
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This article presents a new technique for computer simulation of slope forms. The method provides a way to study how events that disturb soil or turn rock into soil add up over time to produce landforms. The model represents a cross section of a hypothetical landform as a lattice of cells, each of which may represent air, soil, or rock. Despite its simplicity, the model does a good job of simulating a range of common of natural slope forms.
Liviu Giosan, Thet Naing, Myo Min Tun, Peter D. Clift, Florin Filip, Stefan Constantinescu, Nitesh Khonde, Jerzy Blusztajn, Jan-Pieter Buylaert, Thomas Stevens, and Swe Thwin
Earth Surf. Dynam., 6, 451–466, https://doi.org/10.5194/esurf-6-451-2018, https://doi.org/10.5194/esurf-6-451-2018, 2018
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Here we provide the first results on the evolution of the Ayeyarwady delta, the last unstudied megadelta of Asia. In addition to its intrinsic value as a founding study on the Holocene development of this region, we advance new ideas on the climate control of monsoonal deltas as well as describe for the first time a feedback mechanism between tectonics and tidal hydrodynamics that can explain the peculiarities of the Ayeyarwady delta.
John J. Armitage, Alexander C. Whittaker, Mustapha Zakari, and Benjamin Campforts
Earth Surf. Dynam., 6, 77–99, https://doi.org/10.5194/esurf-6-77-2018, https://doi.org/10.5194/esurf-6-77-2018, 2018
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We explore how two landscape evolution models respond to a change in climate. The two models are developed from a divergent assumption on the efficiency of sediment transport. Despite the different resulting mathematics, both numerical models display a similar functional response to a change in precipitation. However, if we model sediment transport rather than assume it is instantaneously removed, the model responds more rapidly, with a response time similar to that observed in nature.
Abigail L. Langston and Gregory E. Tucker
Earth Surf. Dynam., 6, 1–27, https://doi.org/10.5194/esurf-6-1-2018, https://doi.org/10.5194/esurf-6-1-2018, 2018
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While vertical incision in bedrock rivers is widely implemented in landscape evolution models, lateral erosion is largely ignored. This makes current models unfit to explain the formation of wide bedrock valleys and strath terraces. In this study we present a fundamental advance in the representation of lateral erosion of bedrock rivers in a landscape evolution model. The model results show a scaling relationship between valley width and drainage area similar to that found in natural systems.
Jeffrey S. Kwang and Gary Parker
Earth Surf. Dynam., 5, 807–820, https://doi.org/10.5194/esurf-5-807-2017, https://doi.org/10.5194/esurf-5-807-2017, 2017
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A prevalent bedrock incision relation used in landscape evolution is the stream power incision model (SPIM), which relates incision rate to drainage area to the m power and slope to the n power. We show the most commonly used ratio, m ∕ n = 0.5, leads to scale invariance: a landscape that has a horizontal domain of 1 km × 1 km has exactly the same relief pattern as one with a 100 km × 100 km domain. This conclusion indicates that SPIM must yield unrealistic results over a wide range of conditions.
Marc P. Hijma, Zhixiong Shen, Torbjörn E. Törnqvist, and Barbara Mauz
Earth Surf. Dynam., 5, 689–710, https://doi.org/10.5194/esurf-5-689-2017, https://doi.org/10.5194/esurf-5-689-2017, 2017
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We show that in the last 3 kyr the evolution of the Chenier Plain, >200 km west of the Mississippi Delta, was influenced by changes in the position of the main river mouth, local sediment sources and sea-level rise. This information can be used to constrain future generations of numerical models to obtain more robust predictions of the effects of improved sediment management and accelerated rates of relative sea-level rise on the evolution of mud-dominated coastal environments worldwide.
Vasiliki Mouslopoulou, John Begg, Alexander Fülling, Daniel Moraetis, Panagiotis Partsinevelos, and Onno Oncken
Earth Surf. Dynam., 5, 511–527, https://doi.org/10.5194/esurf-5-511-2017, https://doi.org/10.5194/esurf-5-511-2017, 2017
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A double coastal alluvial fan system on Crete is used as a proxy for landscape evolution. Each juxtaposed fan records individual phases of alluvial and marine incision, providing unprecedented resolution in the formation and evolution of its landscape. The fan sequence developed during MIS 3 due to sea-level fluctuations but it was preserved due to tectonic uplift during the subsequent 20 000 years. Thus, eustasy and tectonics were important in fan evolution, but over distinct time intervals.
Maarten Lupker, Jérôme Lavé, Christian France-Lanord, Marcus Christl, Didier Bourlès, Julien Carcaillet, Colin Maden, Rainer Wieler, Mustafizur Rahman, Devojit Bezbaruah, and Liu Xiaohan
Earth Surf. Dynam., 5, 429–449, https://doi.org/10.5194/esurf-5-429-2017, https://doi.org/10.5194/esurf-5-429-2017, 2017
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We use geochemical approaches (10Be) on river sediments to quantify the erosion rates across the Tsangpo-Brahmaputra (TB) catchment in the eastern Himalayas. Our approach confirms the high erosion rates in the eastern Himalayan syntaxis region and we suggest that the abrasion of landslide material in the syntaxis is a key process in explaining how erosion signals are transferred to the sediment load.
Robert R. Wells, Henrique G. Momm, and Carlos Castillo
Earth Surf. Dynam., 5, 347–367, https://doi.org/10.5194/esurf-5-347-2017, https://doi.org/10.5194/esurf-5-347-2017, 2017
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As technology presents a gateway to finer-resolution survey information, caution must be exercised in the evaluation of alignment error and subsequent morphological determinations. Three survey technologies were evaluated: ground-based photogrammetry, unmanned aerial vehicle photogrammetry, and ground-based lidar. Initial project planning necessitates the effective use of ground control to facilitate alignment and proper morphological conclusions.
Joris T. Eggenhuisen, Matthieu J. B. Cartigny, and Jan de Leeuw
Earth Surf. Dynam., 5, 269–281, https://doi.org/10.5194/esurf-5-269-2017, https://doi.org/10.5194/esurf-5-269-2017, 2017
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Suspension of particles in turbulent flows is one of the most widely occurring physical phenomena in nature, yet no theory predicts the sediment transport capacity of the wind, avalanches, pyroclastic flows, rivers, and estuarine or marine currents. We derive such a theory from universal turbulence characteristics and fluid and particle properties alone. It compares favourably with measurements and previous empiric formulations, making it the first process-based theory for particle suspension.
Margaux Mouchené, Peter van der Beek, Sébastien Carretier, and Frédéric Mouthereau
Earth Surf. Dynam., 5, 125–143, https://doi.org/10.5194/esurf-5-125-2017, https://doi.org/10.5194/esurf-5-125-2017, 2017
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The Lannemezan megafan (northern Pyrenean foreland) was abandoned during the Quaternary and subsequently incised. We use numerical models to explore possible scenarios for the evolution of this megafan. We show that autogenic processes are sufficient to explain its evolution. Climate may have played a second-order role; in contrast base-level change, tectonic activity and flexural isostatic rebound do not appear to have influenced its evolution.
Benjamin Campforts, Wolfgang Schwanghart, and Gerard Govers
Earth Surf. Dynam., 5, 47–66, https://doi.org/10.5194/esurf-5-47-2017, https://doi.org/10.5194/esurf-5-47-2017, 2017
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Despite a growing interest in landscape evolution models, accuracy assessment of the numerical methods they are based on has received little attention. We test a higher-order flux-limiting finite-volume method to simulate river incision and tectonic displacement. We show that this scheme significantly influences the evolution of simulated landscapes and the spatial and temporal variability of erosion rates. Moreover, it allows for the simulation of lateral tectonic displacement on a fixed grid.
Tom J. Coulthard and Christopher J. Skinner
Earth Surf. Dynam., 4, 757–771, https://doi.org/10.5194/esurf-4-757-2016, https://doi.org/10.5194/esurf-4-757-2016, 2016
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Landscape evolution models are driven by climate or precipitation data. We show that higher-resolution data lead to greater basin sediment yields (> 100 % increase) despite minimal changes in hydrological outputs. Spatially, simulations over 1000 years show finer-resolution data lead to a systematic bias of more erosion in headwater streams with more deposition in valley floors. This could have important implications for the long-term predictions of past and present landscape evolution models.
Joel P. L. Johnson
Earth Surf. Dynam., 4, 685–703, https://doi.org/10.5194/esurf-4-685-2016, https://doi.org/10.5194/esurf-4-685-2016, 2016
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Accurately predicting gravel transport rates in mountain rivers is difficult because of feedbacks with channel morphology. River bed surfaces evolve during floods, influencing transport rates. I propose that the threshold of gravel motion is a state variable for channel reach evolution. I develop a new model to predict how transport thresholds evolve as a function of transport rate, and then use laboratory flume experiments to calibrate and validate the model.
Jon D. Pelletier, Mary H. Nichols, and Mark A. Nearing
Earth Surf. Dynam., 4, 471–488, https://doi.org/10.5194/esurf-4-471-2016, https://doi.org/10.5194/esurf-4-471-2016, 2016
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This paper documents that a shift from grassland to shrubland within the past few thousand years has caused erosion rates to increase more than 10-fold and drainage density to increase approximately 3-fold in areas of otherwise similar climate and geology at a study site in Arizona. We provide a mathematical model that predicts the observed drainage density under both grassland and shrubland conditions. In the model application we are able to tightly constrain every parameter.
Guilhem Aubert, Vincent J. Langlois, and Pascal Allemand
Earth Surf. Dynam., 4, 327–342, https://doi.org/10.5194/esurf-4-327-2016, https://doi.org/10.5194/esurf-4-327-2016, 2016
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We performed the first direct numerical simulations of the process by which the pebbles transported by a river repeatedly impact its bedrock and consequently contribute to its erosion. Our results are consistent with existing experimental measurements and allow us to predict the incision rate of a river as a function of its water discharge, the amount of sediment available, and the roughness of the bedrock, which is essential to study the long-term evolution of mountain ranges.
Sébastien Carretier, Pierre Martinod, Martin Reich, and Yves Godderis
Earth Surf. Dynam., 4, 237–251, https://doi.org/10.5194/esurf-4-237-2016, https://doi.org/10.5194/esurf-4-237-2016, 2016
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We introduce moving clasts (grains, minerals, cobbles) in a landscape evolution model.
This coupling has many potential applications, such as sediment provenance or the tracing of weathered material. It fills a gap between long-term landscape dynamics, which are difficult to tackle, and sediment clast populations studied in the field.
C. F. Brædstrup, D. L. Egholm, S. V. Ugelvig, and V. K. Pedersen
Earth Surf. Dynam., 4, 159–174, https://doi.org/10.5194/esurf-4-159-2016, https://doi.org/10.5194/esurf-4-159-2016, 2016
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When studying long-term glacial landscape evolution one must make simplifying assumptions about the nature of glacial flow. In this study we show that for two different numerical models such simplifications are mostly unimportant in the setting of glacial landscape evolution. Following this we find that glacial erosion is most intense in the early stages of glaciation and its effects are reduced with time due to flow patterns in the ice removing areas of highest resistance to flow.
J.-L. Grimaud, C. Paola, and V. Voller
Earth Surf. Dynam., 4, 11–23, https://doi.org/10.5194/esurf-4-11-2016, https://doi.org/10.5194/esurf-4-11-2016, 2016
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Knickpoints represent localized steps along a river profile (e.g. waterfalls or rapids) that are commonly interpreted as the geomorphic response of river systems to external changes. We used a simple experiment to show that knickpoints may not only respond to external base-level change but are also able to self-organize. We highlight the effect of alluvial cover in delaying knickpoint formation and show that river bed strength controls both retreat velocity and geometry of knickpoints.
J. L. Andersen, D. L. Egholm, M. F. Knudsen, J. D. Jansen, and S. B. Nielsen
Earth Surf. Dynam., 3, 447–462, https://doi.org/10.5194/esurf-3-447-2015, https://doi.org/10.5194/esurf-3-447-2015, 2015
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An increasing number of studies demonstrates links between the intensity of periglacial processes and bedrock erosion in steep mountain landscapes. Here, we quantify the dependence of periglacial processes on temperature and sediment thickness. This allows us to model frost processes across the full range of settings encountered in mountain landscapes. We find that sediment mantle thickness strongly modulates the relation between climate and periglacial weathering and sediment transport.
D. L. Egholm, J. L. Andersen, M. F. Knudsen, J. D. Jansen, and S. B. Nielsen
Earth Surf. Dynam., 3, 463–482, https://doi.org/10.5194/esurf-3-463-2015, https://doi.org/10.5194/esurf-3-463-2015, 2015
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We incorporate relations between climate, sediment thickness and periglacial processes quantified in the accompanying paper into a landscape evolution model. This allows us to time-integrate the periglacial contribution to mountain topography on million-year time scales. It is a robust result of our simulations that periglacial processes lead to topographic smoothing. Owing to the climate dependency, this smoothing leads to formation of low-relief surfaces at altitudes controlled by temperature.
A. R. Beer and J. M. Turowski
Earth Surf. Dynam., 3, 291–309, https://doi.org/10.5194/esurf-3-291-2015, https://doi.org/10.5194/esurf-3-291-2015, 2015
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We applied a spatiotemporally highly resolved dataset of discharge, sediment transport and bedrock erosion data to assess the validity of landscape evolution models at the process scale (resolution of square meters and minutes). The tools effect is found to be the dominant driver of erosion and an easy model is able to predict measured erosion. For larger scales common discharge-dependend modeling with a discharge threshold is adequate to regive the overal trend of the erosion signal.
R. M. Headley and T. A. Ehlers
Earth Surf. Dynam., 3, 153–170, https://doi.org/10.5194/esurf-3-153-2015, https://doi.org/10.5194/esurf-3-153-2015, 2015
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Within a landscape evolution model operating over geologic timescales, this work evaluates how different assumptions and levels of complexity for modeling glacier flow impact the pattern and amount of glacial erosion. Compared to those in colder climates, modeled glaciers in warmer and wetter climates are more sensitive to the choice of glacier flow model. Differences between landscapes evolved with different glacier flow models are intensified over multiple cycles.
L. Zhang, G. Parker, C. P. Stark, T. Inoue, E. Viparelli, X. Fu, and N. Izumi
Earth Surf. Dynam., 3, 113–138, https://doi.org/10.5194/esurf-3-113-2015, https://doi.org/10.5194/esurf-3-113-2015, 2015
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The saltation-abrasion model captures bedrock incision due stones striking bedrock. We present the Macro-Roughness-based Saltation-Abrasion-Alluviation (MRSAA) model, which tracks spatiotemporal variation of both bedload and alluvial thickness. It captures migrating waves of incision upstream and alluviation downstream. We apply it to incision problems not captured by saltation-abrasion, including the response to alluviation and stripping, and a simplified graben with uplift and subsidence.
M. Liang, V. R. Voller, and C. Paola
Earth Surf. Dynam., 3, 67–86, https://doi.org/10.5194/esurf-3-67-2015, https://doi.org/10.5194/esurf-3-67-2015, 2015
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In this work we present DeltaRCM, a reduced-complexity model for river delta formation. It is a rule-based cellular morphodynamic model, in contrast to reductionist models based on detailed computational fluid dynamics. DeltaRCM is able to resolve channel dynamics and to produce stratigraphy. We also explain the meaning of complexity reduction, especially the essential processes to be included in modeling deltas.
M. Liang, N. Geleynse, D. A. Edmonds, and P. Passalacqua
Earth Surf. Dynam., 3, 87–104, https://doi.org/10.5194/esurf-3-87-2015, https://doi.org/10.5194/esurf-3-87-2015, 2015
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In this work we assess the flow-routing component (FlowRCM) of our delta formation model, DeltaRCM. We found that with the level of complexity reduction, FlowRCM is able to produce channel network-scale hydrodynamic details, which provide further insights into the connection between delta flow structures and the morphodynamic outcome.
U. Lombardo
Earth Surf. Dynam., 2, 493–511, https://doi.org/10.5194/esurf-2-493-2014, https://doi.org/10.5194/esurf-2-493-2014, 2014
A. Pelosi and G. Parker
Earth Surf. Dynam., 2, 243–253, https://doi.org/10.5194/esurf-2-243-2014, https://doi.org/10.5194/esurf-2-243-2014, 2014
M. Scherler, S. Schneider, M. Hoelzle, and C. Hauck
Earth Surf. Dynam., 2, 141–154, https://doi.org/10.5194/esurf-2-141-2014, https://doi.org/10.5194/esurf-2-141-2014, 2014
Z. Zhou, L. Stefanon, M. Olabarrieta, A. D'Alpaos, L. Carniello, and G. Coco
Earth Surf. Dynam., 2, 105–116, https://doi.org/10.5194/esurf-2-105-2014, https://doi.org/10.5194/esurf-2-105-2014, 2014
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Short summary
We non-dimensionalized a commonly used model of landscape evolution that includes an incision threshold. Whereas the original model included four parameters, we obtained a dimensionless form with a single parameter, which quantifies the relative importance of the incision threshold. Working with this form saves computational time and simplifies theoretical analyses.
We non-dimensionalized a commonly used model of landscape evolution that includes an incision...