Articles | Volume 12, issue 6
https://doi.org/10.5194/esurf-12-1347-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/esurf-12-1347-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| Highlight paper
| 
05 Dec 2024
Research article | Highlight paper |
| 05 Dec 2024
| 05 Dec 2024
Channel concavity controls planform complexity of branching drainage networks
The Department of Earth and Environmental Sciences, Ben-Gurion University of the Negev, Be'er-Sheva 8410501, Israel
Eitan Shelef
Department of Geology and Environmental Science, University of Pittsburgh, Pittsburgh, PA 15260, USA
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Understanding how volcanic edifices develop drainage basins remains unexplored in landscape evolution. Using digital evolution models of volcanoes with varying ages, we quantify the geometries of their edifices and associated drainage basins through time. We find that these metrics correlate with edifice age and are thus useful indicators of a volcano’s history. We then develop a generalized model for how volcano basins develop and compare our results to basin evolution in other settings.
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Drainage reorganization redistributes drainage area across basins, resulting in channel and valley widths that may be unproportional to the new drainage area. We demonstrate scaling between valley width and drainage area in reorganized drainages that deviates from scaling in non-reorganized drainages. Further, deviation patterns are associated with different reorganization categories. Our findings are consequential for studies that rely on this scaling for valley width estimation.
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Abrupt changes in tectonic uplift rates induce sharp changes in river profile, called knickpoints. When river erosion depends non-linearly on slope, we develop an analytic model for knickpoint velocity and find the condition of knickpoint merging. Then we develop analytic models that represent the two-directional link between tectonic changes and river profile evolution. The derivation provides new understanding on the links between tectonic changes and river profile evolution.
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Earth Surf. Dynam., 9, 687–700, https://doi.org/10.5194/esurf-9-687-2021, https://doi.org/10.5194/esurf-9-687-2021, 2021
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Drainage basins are bounded by water divides (divides) that define their shape and extent. Divides commonly coincide with high ridges, but in places that experienced extensive tectonic deformation, divides sometimes cross elongated valleys. Inspired by field observations and using simulations of landscape evolution, we study how side channels that drain to elongated valleys induce pulses of divide migration, affecting the distribution of water and erosion products across mountain ranges.
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Understanding how volcanic edifices develop drainage basins remains unexplored in landscape evolution. Using digital evolution models of volcanoes with varying ages, we quantify the geometries of their edifices and associated drainage basins through time. We find that these metrics correlate with edifice age and are thus useful indicators of a volcano’s history. We then develop a generalized model for how volcano basins develop and compare our results to basin evolution in other settings.
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Drainage reorganization redistributes drainage area across basins, resulting in channel and valley widths that may be unproportional to the new drainage area. We demonstrate scaling between valley width and drainage area in reorganized drainages that deviates from scaling in non-reorganized drainages. Further, deviation patterns are associated with different reorganization categories. Our findings are consequential for studies that rely on this scaling for valley width estimation.
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Abrupt changes in tectonic uplift rates induce sharp changes in river profile, called knickpoints. When river erosion depends non-linearly on slope, we develop an analytic model for knickpoint velocity and find the condition of knickpoint merging. Then we develop analytic models that represent the two-directional link between tectonic changes and river profile evolution. The derivation provides new understanding on the links between tectonic changes and river profile evolution.
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Drainage basins are bounded by water divides (divides) that define their shape and extent. Divides commonly coincide with high ridges, but in places that experienced extensive tectonic deformation, divides sometimes cross elongated valleys. Inspired by field observations and using simulations of landscape evolution, we study how side channels that drain to elongated valleys induce pulses of divide migration, affecting the distribution of water and erosion products across mountain ranges.
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Luke A. McGuire, Scott W. McCoy, Odin Marc, William Struble, and Katherine R. Barnhart
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Patrick Boyden, Paolo Stocchi, and Alessio Rovere
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Gregory A. Ruetenik, John D. Jansen, Pedro Val, and Lotta Ylä-Mella
Earth Surf. Dynam., 11, 865–880, https://doi.org/10.5194/esurf-11-865-2023, https://doi.org/10.5194/esurf-11-865-2023, 2023
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We compare models of erosion against a global compilation of long-term erosion rates in order to find and interpret best-fit parameters using an iterative search. We find global signals among exponents which control the relationship between erosion rate and slope, as well as other parameters which are common in long-term erosion modelling. Finally, we analyse the global variability in parameters and find a correlation between precipitation and coefficients for optimised models.
Stefan Hergarten and Alexa Pietrek
Earth Surf. Dynam., 11, 741–755, https://doi.org/10.5194/esurf-11-741-2023, https://doi.org/10.5194/esurf-11-741-2023, 2023
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The transition from hillslopes to channelized flow is typically attributed to a threshold catchment size in landform evolution models. Here we propose an alternative concept directly based on topography. Using this concept, channels and hillslopes self-organize, whereby the catchment size of the channel heads varies over some range. Our numerical results suggest that this concept works better than the established idea of a strict threshold catchment size.
Riccardo Reitano, Romano Clementucci, Ethan M. Conrad, Fabio Corbi, Riccardo Lanari, Claudio Faccenna, and Chiara Bazzucchi
Earth Surf. Dynam., 11, 731–740, https://doi.org/10.5194/esurf-11-731-2023, https://doi.org/10.5194/esurf-11-731-2023, 2023
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Tectonics and surface processes work together in shaping orogens through their evolution. Laboratory models are used to overcome some limitations of direct observations since they allow for continuous and detailed analysis of analog orogens. We use a rectangular box filled with an analog material made of granular materials to study how erosional laws apply and how erosion affects the analog landscape as a function of the applied boundary conditions (regional slope and rainfall rate).
Tzu-Yin Kasha Chen, Ying-Chen Wu, Chi-Yao Hung, Hervé Capart, and Vaughan R. Voller
Earth Surf. Dynam., 11, 325–342, https://doi.org/10.5194/esurf-11-325-2023, https://doi.org/10.5194/esurf-11-325-2023, 2023
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Predicting the extent and thickness of debris flow deposits is important for assessing and mitigating hazards. We propose a simplified mass balance model for predicting the morphology of terminated debris flows depositing over complex topography. A key element in this model is that the termination of flow of the deposit is determined by prescribed values of yield stress and friction angle. The model results are consistent with available analytical solutions and field and laboratory observations.
Richard Ott, Sean F. Gallen, and David Helman
Earth Surf. Dynam., 11, 247–257, https://doi.org/10.5194/esurf-11-247-2023, https://doi.org/10.5194/esurf-11-247-2023, 2023
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We compile data on carbonate denudation, the sum of mechanical erosion and chemical weathering, from cosmogenic nuclides and use them in conjunction with weathering data to constrain the partitioning of denudation into erosion and weathering. We show how carbonate erosion and weathering respond to different climatic and tectonic conditions and find that variations in denudation partitioning can be used to explain the vastly different morphology of carbonate landscapes on Earth.
Joanmarie Del Vecchio, Emma R. Lathrop, Julian B. Dann, Christian G. Andresen, Adam D. Collins, Michael M. Fratkin, Simon Zwieback, Rachel C. Glade, and Joel C. Rowland
Earth Surf. Dynam., 11, 227–245, https://doi.org/10.5194/esurf-11-227-2023, https://doi.org/10.5194/esurf-11-227-2023, 2023
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In cold regions of the Earth, thawing permafrost can change the landscape, impact ecosystems, and lead to the release of greenhouse gases. In this study we used many observational tools to better understand how sediment moves on permafrost hillslopes. Some topographic change conforms to our understanding of slope stability and sediment transport as developed in temperate landscapes, but much of what we observed needs further explanation by permafrost-specific geomorphic models.
Carole Petit, Tristan Salles, Vincent Godard, Yann Rolland, and Laurence Audin
Earth Surf. Dynam., 11, 183–201, https://doi.org/10.5194/esurf-11-183-2023, https://doi.org/10.5194/esurf-11-183-2023, 2023
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We present new tools in the landscape evolution model Badlands to simulate 10Be production, erosion and transport. These tools are applied to a source-to-sink system in the SW French Alps, where the model is calibrated. We propose a model that fits river incision rates and 10Be concentrations in sediments, and we show that 10Be in deep marine sediments is a signal with multiple contributions that cannot be easily interpreted in terms of climate forcing.
Cas Renette, Kristoffer Aalstad, Juditha Aga, Robin Benjamin Zweigel, Bernd Etzelmüller, Karianne Staalesen Lilleøren, Ketil Isaksen, and Sebastian Westermann
Earth Surf. Dynam., 11, 33–50, https://doi.org/10.5194/esurf-11-33-2023, https://doi.org/10.5194/esurf-11-33-2023, 2023
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One of the reasons for lower ground temperatures in coarse, blocky terrain is a low or varying soil moisture content, which most permafrost modelling studies did not take into account. We used the CryoGrid community model to successfully simulate this effect and found markedly lower temperatures in well-drained, blocky deposits compared to other set-ups. The inclusion of this drainage effect is another step towards a better model representation of blocky mountain terrain in permafrost regions.
Brian G. Sockness and Karen B. Gran
Earth Surf. Dynam., 10, 581–603, https://doi.org/10.5194/esurf-10-581-2022, https://doi.org/10.5194/esurf-10-581-2022, 2022
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To study channel network development following continental glaciation, we ran small physical experiments where networks slowly expanded into flat surfaces. By changing substrate and rainfall, we altered flow pathways between surface and subsurface. Initially, most channels grew by overland flow. As relief increased, erosion through groundwater sapping occurred, especially in runs with high infiltration and low cohesion, highlighting the importance of groundwater in channel network evolution.
Harrison K. Martin and Douglas A. Edmonds
Earth Surf. Dynam., 10, 555–579, https://doi.org/10.5194/esurf-10-555-2022, https://doi.org/10.5194/esurf-10-555-2022, 2022
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River avulsions (rivers suddenly changing course) redirect water and sediment. These floods can harm people and control how some landscapes evolve. We model how abandoned channels from older avulsions affect where, when, and why future avulsions occur in mountain-front areas. We show that abandoned channels can push and pull avulsions, and the way they heal controls landscapes. Avulsion models should include abandoned channels; we also highlight opportunities for future field workers.
Ariel Henrique do Prado, Renato Paes de Almeida, Cristiano Padalino Galeazzi, Victor Sacek, and Fritz Schlunegger
Earth Surf. Dynam., 10, 457–471, https://doi.org/10.5194/esurf-10-457-2022, https://doi.org/10.5194/esurf-10-457-2022, 2022
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Our work is focused on describing how and why the terrace levels of central Amazonia were formed during the last 100 000 years. We propose to address this question through a landscape evolution numerical model. Our results show that terrace levels at lower elevation were established in response to dry–wet climate changes and the older terrace levels at higher elevations most likely formed in response to a previously higher elevation of the regional base level.
Clément Desormeaux, Vincent Godard, Dimitri Lague, Guillaume Duclaux, Jules Fleury, Lucilla Benedetti, Olivier Bellier, and the ASTER Team
Earth Surf. Dynam., 10, 473–492, https://doi.org/10.5194/esurf-10-473-2022, https://doi.org/10.5194/esurf-10-473-2022, 2022
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Landscape evolution is highly dependent on climatic parameters, and the occurrence of intense precipitation events is considered to be an important driver of river incision. We compare the rate of erosion with the variability of river discharge in a mountainous landscape of SE France where high-magnitude floods regularly occur. Our study highlights the importance of the hypotheses made regarding the threshold that river discharge needs to exceed in order to effectively cut down into the bedrock.
Jean Braun
Earth Surf. Dynam., 10, 301–327, https://doi.org/10.5194/esurf-10-301-2022, https://doi.org/10.5194/esurf-10-301-2022, 2022
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By comparing two models for the transport of sediment, we find that they share a similar steady-state solution that adequately predicts the shape of most depositional systems made of a fan and an alluvial plain. The length of the fan is controlled by the size of the mountain drainage area feeding the sedimentary system and its slope by the incoming sedimentary flux. We show that the models differ in their transient behavior to external forcing and are characterized by different response times.
Léopold de Lavaissière, Stéphane Bonnet, Anne Guyez, and Philippe Davy
Earth Surf. Dynam., 10, 229–246, https://doi.org/10.5194/esurf-10-229-2022, https://doi.org/10.5194/esurf-10-229-2022, 2022
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Rivers are known to record changes in tectonic or climatic variation through long adjustment of their longitudinal profile slope. Here we describe such adjustments in experimental landscapes and show that they may result from the sole effect of intrinsic geomorphic processes. We propose a new model of river evolution that links long profile adjustment to cycles of river widening and narrowing. This result emphasizes the need to better understand control of lateral erosion on river width.
Elco Luijendijk
Earth Surf. Dynam., 10, 1–22, https://doi.org/10.5194/esurf-10-1-2022, https://doi.org/10.5194/esurf-10-1-2022, 2022
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The distance between rivers is a noticeable feature of the Earth's surface. Previous work has indicated that subsurface groundwater flow may be important for drainage density. Here, I present a new model that combines subsurface and surface water flow and erosion, and demonstrates that groundwater exerts an important control on drainage density. Streams that incise rapidly can capture the groundwater discharge of adjacent streams, which may cause these streams to become dry and stop incising.
Nikos Theodoratos and James W. Kirchner
Earth Surf. Dynam., 9, 1545–1561, https://doi.org/10.5194/esurf-9-1545-2021, https://doi.org/10.5194/esurf-9-1545-2021, 2021
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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 this line graphically express the topographic response of landscapes to changes in model parameters.
Yanyan Wang and Sean D. Willett
Earth Surf. Dynam., 9, 1301–1322, https://doi.org/10.5194/esurf-9-1301-2021, https://doi.org/10.5194/esurf-9-1301-2021, 2021
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Although great escarpment mountain ranges are characterized by high relief, modern erosion rates suggest slow rates of landscape change. We question this interpretation by presenting a new method for interpreting concentrations of cosmogenic isotopes. Our analysis shows that erosion has localized onto an escarpment face, driving retreat of the escarpment at high rates. Our quantification of this retreat rate rationalizes the high-relief, dramatic landscape with the rates of geomorphic change.
William T. Struble and Joshua J. Roering
Earth Surf. Dynam., 9, 1279–1300, https://doi.org/10.5194/esurf-9-1279-2021, https://doi.org/10.5194/esurf-9-1279-2021, 2021
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We used a mathematical technique known as a wavelet transform to calculate the curvature of hilltops in western Oregon, which we used to estimate erosion rate. We find that this technique operates over 1000 times faster than other techniques and produces accurate erosion rates. We additionally built artificial hillslopes to test the accuracy of curvature measurement methods. We find that at fast erosion rates, curvature is underestimated, raising questions of measurement accuracy elsewhere.
Philippe Steer
Earth Surf. Dynam., 9, 1239–1250, https://doi.org/10.5194/esurf-9-1239-2021, https://doi.org/10.5194/esurf-9-1239-2021, 2021
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How landscapes respond to tectonic and climatic changes is a major issue in Earth sciences. I have developed a new model that solves for landscape evolution in two dimensions using analytical solutions. Compared to numerical models, this new model is quicker and more accurate. It can compute in a single time step the topography at equilibrium of a landscape or be used to describe its evolution through time, e.g. during changes in tectonic or climatic conditions.
Hemanti Sharma, Todd A. Ehlers, Christoph Glotzbach, Manuel Schmid, and Katja Tielbörger
Earth Surf. Dynam., 9, 1045–1072, https://doi.org/10.5194/esurf-9-1045-2021, https://doi.org/10.5194/esurf-9-1045-2021, 2021
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We study effects of variable climate–vegetation with different uplift rates on erosion–sedimentation using a landscape evolution modeling approach. Results suggest that regardless of uplift rates, transients in precipitation–vegetation lead to transients in erosion rates in the same direction of change. Vegetation-dependent erosion and sedimentation are influenced by Milankovitch timescale changes in climate, but these transients are superimposed upon tectonically driven uplift rates.
Stefan Hergarten
Earth Surf. Dynam., 9, 937–952, https://doi.org/10.5194/esurf-9-937-2021, https://doi.org/10.5194/esurf-9-937-2021, 2021
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This paper presents a new approach to modeling glacial erosion on large scales. The formalism is similar to large-scale models of fluvial erosion, so glacial and fluvial processes can be easily combined. The model is simpler and numerically less demanding than established models based on a more detailed description of the ice flux. The numerical implementation almost achieves the efficiency of purely fluvial models, so that simulations over millions of years can be performed on standard PCs.
Martine Simoes, Timothée Sassolas-Serrayet, Rodolphe Cattin, Romain Le Roux-Mallouf, Matthieu Ferry, and Dowchu Drukpa
Earth Surf. Dynam., 9, 895–921, https://doi.org/10.5194/esurf-9-895-2021, https://doi.org/10.5194/esurf-9-895-2021, 2021
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Elevated low-relief regions and major river knickpoints have for long been noticed and questioned in the emblematic Bhutan Himalaya. We document the morphology of this region using morphometric analyses and field observations, at a variety of spatial scales. Our findings reveal a highly unstable river network, with numerous non-coeval river captures, most probably related to a dynamic response to local tectonic uplift in the mountain hinterland.
Julien Seguinot and Ian Delaney
Earth Surf. Dynam., 9, 923–935, https://doi.org/10.5194/esurf-9-923-2021, https://doi.org/10.5194/esurf-9-923-2021, 2021
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Ancient Alpine glaciers have carved a fascinating landscape of piedmont lakes, glacial valleys, and mountain cirques. Using a previous supercomputer simulation of glacier flow, we show that glacier erosion has constantly evolved and moved to different parts of the Alps. Interestingly, larger glaciers do not always cause more rapid erosion. Instead, glacier erosion is modelled to slow down during glacier advance and peak during phases of retreat, such as the one the Earth is currently undergoing.
Eitan Shelef and Liran Goren
Earth Surf. Dynam., 9, 687–700, https://doi.org/10.5194/esurf-9-687-2021, https://doi.org/10.5194/esurf-9-687-2021, 2021
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Drainage basins are bounded by water divides (divides) that define their shape and extent. Divides commonly coincide with high ridges, but in places that experienced extensive tectonic deformation, divides sometimes cross elongated valleys. Inspired by field observations and using simulations of landscape evolution, we study how side channels that drain to elongated valleys induce pulses of divide migration, affecting the distribution of water and erosion products across mountain ranges.
Vipin Kumar, Imlirenla Jamir, Vikram Gupta, and Rajinder K. Bhasin
Earth Surf. Dynam., 9, 351–377, https://doi.org/10.5194/esurf-9-351-2021, https://doi.org/10.5194/esurf-9-351-2021, 2021
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Despite a history of landslide damming and flash floods in the NW Himalaya, only a few studies have been performed. This study predicts some potential landslide damming sites in the Satluj valley, NW Himalaya, using field observations, laboratory analyses, geomorphic proxies, and numerical simulations. Five landslides, comprising a total landslide volume of 26.3 ± 6.7 M m3, are found to have the potential to block the river in the case of slope failure.
Aaron Micallef, Remus Marchis, Nader Saadatkhah, Potpreecha Pondthai, Mark E. Everett, Anca Avram, Alida Timar-Gabor, Denis Cohen, Rachel Preca Trapani, Bradley A. Weymer, and Phillipe Wernette
Earth Surf. Dynam., 9, 1–18, https://doi.org/10.5194/esurf-9-1-2021, https://doi.org/10.5194/esurf-9-1-2021, 2021
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We study coastal gullies along the Canterbury coast of New Zealand using field observations, sample analyses, drones, satellites, geophysical instruments and modelling. We show that these coastal gullies form when rainfall intensity is higher than 40 mm per day. The coastal gullies are formed by landslides where buried channels or sand lenses are located. This information allows us to predict where coastal gullies may form in the future.
Riccardo Reitano, Claudio Faccenna, Francesca Funiciello, Fabio Corbi, and Sean D. Willett
Earth Surf. Dynam., 8, 973–993, https://doi.org/10.5194/esurf-8-973-2020, https://doi.org/10.5194/esurf-8-973-2020, 2020
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Looking into processes that occur on different timescales that span over thousands or millions of years is difficult to achieve. This is the case when we try to understand the interaction between tectonics and surface processes. Analog modeling is an investigating technique that can overcome this limitation. We study the erosional response of an analog landscape by varying the concentration of components of analog materials that strongly affect the evolution of experimental landscapes.
Stefan Hergarten
Earth Surf. Dynam., 8, 841–854, https://doi.org/10.5194/esurf-8-841-2020, https://doi.org/10.5194/esurf-8-841-2020, 2020
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Many contemporary models of large-scale fluvial erosion focus on the detachment-limited regime where all material entrained by the river is immediately excavated. This limitation facilitates the comparison with real river profiles and strongly reduces the numerical complexity. Here a simple formulation for the opposite case, transport-limited erosion, and a new numerical scheme that achieves almost the same numerical efficiency as detachment-limited models are presented.
Nikos Theodoratos and James W. Kirchner
Earth Surf. Dynam., 8, 505–526, https://doi.org/10.5194/esurf-8-505-2020, https://doi.org/10.5194/esurf-8-505-2020, 2020
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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.
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.
Cited articles
Abed-Elmdoust, A., Miri, M.-A., and Singh, A.: Reorganization of river networks under changing spatiotemporal precipitation patterns: An optimal channel network approach, Water Resour. Res., 52, 8845–8860, https://doi.org/10.1002/2015WR018391, 2016. a, b
Badgley, C., Smiley, T. M., Terry, R., Davis, E. B., DeSantis, L. R., Fox, D. L., Hopkins, S. S., Jezkova, T., Matocq, M. D., Matzke, N., McGuire, J. L., Mulch, A., Riddle, B. R., Roth, V. L., Samuels, J. X., Strömberg, C. A., and Yanites, B. J.: Biodiversity and Topographic Complexity: Modern and Geohistorical Perspectives, Trends Ecol. Evol., 32, 211–226, https://doi.org/10.1016/j.tree.2016.12.010, 2017. a
Banavar, J. R., Colaiori, F., Flammini, A., Maritan, A., and Rinaldo, A.: Scaling, Optimality, and Landscape Evolution, J. Stat. Phys., 104, 1–48, https://doi.org/10.1023/A:1010397325029, 2001. a, b, c
Beeson, H. W., McCoy, S. W., and Keen-Zebert, A.: Geometric disequilibrium of river basins produces long-lived transient landscapes, Earth Planet. Sc. Lett., 475, 34–43, https://doi.org/10.1016/j.epsl.2017.07.010, 2017. a
Beeson, H. W., Willett, S., Pellissier, L., and Wang, Y.: Identifying causal links between tectonic processes and biodiversity in an orogenic wedge setting with a coupled landscape-biodiversity evolution model, in: AGU Fall Meeting 2021, New Orleans, LA, 13–17 December 2021, id. B53C-06, 2021. a
Braun, J., Robert, X., and Simon-Labric, T.: Eroding dynamic topography, Geophys. Res. Lett., 40, 1494–1499, https://doi.org/10.1002/grl.50310, 2013. a
Castelltort, S., Goren, L., Willett, S. D., Champagnac, J.-D., Herman, F., and Braun, J.: River drainage patterns in the New Zealand Alps primarily controlled by plate tectonic strain, Nat. Geosci., 5, 744–748, https://doi.org/10.1038/NGEO1582, 2012. a
Caylor, K. K., Manfreda, S., and Rodriguez-Iturbe, I.: On the coupled geomorphological and ecohydrological organization of river basins, Adv. Water Resour., 28, 69–86, https://doi.org/10.1016/j.advwatres.2004.08.013, 2005. a
Chen, S.-A., Michaelides, K., Grieve, S. W. D., and Singer, M. B.: Aridity is expressed in river topography globally, Nature, 573, 573–577, https://doi.org/10.1038/s41586-019-1558-8, 2019. a, b, c
Colaiori, F., Flammini, A., Maritan, A., and Banavar, J. R.: Analytical and numerical study of optimal channel networks, Phys. Rev. E, 55, 1298–1310, https://doi.org/10.1103/PhysRevE.55.1298, 1997. a, b
Cowie, P., Attal, M., Tucker, G. E., Whittaker, A. C., Naylor, M., Ganas, A., and Roberts, G. P.: Investigating the surface process response to fault interaction and linkage using a numerical modelling approach, Basin Res., 18, 231–266, https://doi.org/10.1111/j.1365-2117.2006.00298.x, 2006. a
De Bartolo, S., Dell'Accio, F., Frandina, G., Moretti, G., Orlandini, S., and Veltri, M.: Relation between grid, channel, and Peano networks in high-resolution digital elevation models, Water Resour. Res., 52, 3527–3546, https://doi.org/10.1002/2015WR018076, 2016. a
Devauchelle, O., Petroff, A. P., Seybold, H. F., and Rothman, D. H.: Ramification of stream networks, P. Natl. Acad. Sci. USA, 109, 20832–20836, https://doi.org/10.1073/pnas.1215218109, 2012. a
DiBiase, R. A., Whipple, K. X., Heimsath, A. M., and Ouimet, W. B.: Landscape form and millennial erosion rates in the San Gabriel Mountains, CA, Earth Planet. Sc. Lett., 289, 134–144, https://doi.org/10.1016/j.epsl.2009.10.036, 2010. a
Dodds, P. S. and Rothman, D. H.: Scaling, universality, and geomorphology, Annu. Rev. Earth Pl. Sc., 28, 571–610, https://doi.org/10.1146/annurev.earth.28.1.571, 2000. a
Duvall, A. R., Harbert, S. A., Upton, P., Tucker, G. E., Flowers, R. M., and Collett, C.: River patterns reveal two stages of landscape evolution at an oblique convergent margin, Marlborough Fault System, New Zealand, Earth Surf. Dynam., 8, 177–194, https://doi.org/10.5194/esurf-8-177-2020, 2020. a
Flint, J. J.: Stream gradient as a function of order, magnitude, and discharge, Water Resour. Res., 10, 969–973, https://doi.org/10.1029/WR010i005p00969, 1974. a
Freund, E. R., Seybold, H., Jasechko, S., and Kirchner, J. W.: Groundwater's Fingerprint in Stream Network Branching Angles, Geophys. Res. Lett., 50, e2023GL103599, https://doi.org/10.1029/2023GL103599, e2023GL103599 2023GL103599, 2023. a, b
Gangodagamage, C., Foufoula-Georgiou, E., and Belmont, P.: River basin organization around the main stem: Scale invariance in tributary branching and the incremental area function, J. Geophys. Res.-Earth, 119, 2174–2193, https://doi.org/10.1002/2014JF003304, 2014. a
Getraer, A. and Maloof, A. C.: Climate-Driven Variability in Runoff Erosion Encoded in Stream Network Geometry, Geophys. Res. Lett., 48, e2020GL091777, https://doi.org/10.1029/2020GL091777, 2021. a, b, c
Goren, L.: Codes and data used in: Channel concavity controls planform complexity of branching drainage networks, Zenodo [code], https://doi.org/10.5281/zenodo.13934906, 2024. a
Goren, L., Castelltort, S., and Klinger, Y.: Modes and rates of horizontal deformation from rotated river basins: Application to the Dead Sea fault system in Lebanon, Geology, 43, 843–846, https://doi.org/10.1130/G36841.1, 2015. a, b
Habousha, K., Goren, L., Nativ, R., and Gruber, C.: Plan-Form Evolution of Drainage Basins in Response to Tectonic Changes: Insights From Experimental and Numerical Landscapes, J. Geophys. Res.-Earth, 128, e2022JF006876, https://doi.org/10.1029/2022JF006876, 2023. a, b, c, d
Hamawi, M., Goren, L., Mushkin, A., and Levi, T.: Rectangular drainage pattern evolution controlled by pipe cave collapse along clastic dikes, the Dead Sea Basin, Israel, Earth Surf. Proc. Land., 47, 936–954, https://doi.org/10.1002/esp.5295, 2022. a
Hergarten, S., Robl, J., and Stüwe, K.: Tectonic geomorphology at small catchment sizes – extensions of the stream-power approach and the χ method, Earth Surf. Dynam., 4, 1–9, https://doi.org/10.5194/esurf-4-1-2016, 2016. a, b
Hooshyar, M., Singh, A., and Wang, D.: Hydrologic controls on junction angle of river networks, Water Resour. Res., 53, 4073–4083, https://doi.org/10.1002/2016WR020267, 2017. a
Horton, R. E.: Erosional development of streams and their drainage basins; hydrophysical approach to quantitative morphology, GSA Bulletin, 56, 275–370, https://doi.org/10.1130/0016-7606(1945)56[275:EDOSAT]2.0.CO;2, 1945. a
Howard, A. D.: Optimal Angles of Stream Junction: Geometric, Stability to Capture, and Minimum Power Criteria, Water Resour. Res., 7, 863–873, https://doi.org/10.1029/WR007i004p00863, 1971. a, b
Howard, A. D.: Theoretical model of optimal drainage networks, Water Resour. Res., 26, 2107–2117, https://doi.org/10.1029/WR026i009p02107, 1990. a, b, c
Howard, A. D.: A detachment-limited model of drainage basin evolution, Water Resour. Res., 30, 2261–2285, https://doi.org/10.1029/94WR00757, 1994. a, b, c, d
Khosh Bin Ghomash, S., Caviedes-Voullieme, D., and Hinz, C.: Effects of erosion-induced changes to topography on runoff dynamics, J. Hydrol., 573, 811–828, https://doi.org/10.1016/j.jhydrol.2019.04.018, 2019. a
Kwang, J. S. and Parker, G.: Extreme Memory of Initial Conditions in Numerical Landscape Evolution Models, Geophys. Res. Lett., 46, 6563–6573, https://doi.org/10.1029/2019GL083305, 2019. a, b, c
Liu, Y., Wang, Y., Willett, S. D., Zimmermann, N. E., and Pellissier, L.: Escarpment evolution drives the diversification of the Madagascar flora, Science, 383, 653–658, https://doi.org/10.1126/science.adi0833, 2024. a
Michaelides, K., Chen, S.-A., Grieve, S., and Singer, M. B.: Reply to: Climate versus tectonics as controls on river profiles, Nature, 612, E15–E17, https://doi.org/10.1038/s41586-022-05419-0, 2022. a
Molnár, P. and Ramírez, J. A.: Energy dissipation theories and optimal channel characteristics of river networks, Water Resour. Res., 34, 1809–1818, https://doi.org/10.1029/98WR00983, 1998. a
Montgomery, D. R. and Dietrich, W. E.: Channel Initiation and the Problem of Landscape Scale, Science, 255, 826–830, https://doi.org/10.1126/science.255.5046.826, 1992. a
Mudd, S. M., Clubb, F. J., Gailleton, B., and Hurst, M. D.: How concave are river channels?, Earth Surf. Dynam., 6, 505–523, https://doi.org/10.5194/esurf-6-505-2018, 2018. a
Mudd, S. M., Roda-Boluda, D. C., Goren, L., and Clubb, F. J.: Beyond the Long Profile, in: Treatise on Geomorphology, second edn., edited by: Shroder, J. J. F., Academic Press, Oxford, https://doi.org/10.1016/B978-0-12-818234-5.00026-2, pp. 22–52, 2022. a, b
Mueller, J. E.: Re-Evaluation of Relationship of Master Streams and Drainage Basins, Geol. Soc. Am. Bull., 83, 3471–3474, https://doi.org/10.1130/0016-7606(1972)83{[}3471:ROTROM]2.0.CO;2, 1972. a
NASA Shuttle Radar Topography Mission (SRTM): Shuttle Radar Topography Mission (SRTM) Global, Distributed by OpenTopography, https://doi.org/10.5069/G9445JDF, 2013. a
Pelletier, J. D. and Turcotte, D. L.: Shapes of river networks and leaves: are they statistically similar?, Philos. T. Roy. Soc. B, 355, 307–311, https://doi.org/10.1098/rstb.2000.0566, 2000. a
Pelletier, J. D., Barron-Gafford, G. A., Gutiérrez-Jurado, H., Hinckley, E.-L. S., Istanbulluoglu, E., McGuire, L. A., Niu, G.-Y., Poulos, M. J., Rasmussen, C., Richardson, P., Swetnam, T. L., and Tucker, G. E.: Which way do you lean? Using slope aspect variations to understand Critical Zone processes and feedbacks, Earth Surf. Proc. Land., 43, 1133–1154, https://doi.org/10.1002/esp.4306, 2018. a, b
Perron, J. T. and Royden, L.: An integral approach to bedrock river profile analysis, Earth Surf. Proc. Land., 38, 570–576, https://doi.org/10.1002/esp.3302, 2013. a
Perron, J. T., Dietrich, W. E., and Kirchner, J. W: Controls on the spacing of first-order valleys, J. Geophys. Res.-Earth, 113, https://doi.org/10.1029/2007JF000977, 2008. a
Ramsey, L. A., Walker, R. T., and Jackson, J.: Geomorphic constraints on the active tectonics of southern Taiwan, Geophys. J. Int., 170, 1357–1372, https://doi.org/10.1111/j.1365-246X.2007.03444.x, 2007. a
Ranjbar, S., Singh, A., and Wang, D.: Controls of the Topological Connectivity on the Structural and Functional Complexity of River Networks, Geophys. Res. Lett., 47, e2020GL087737, https://doi.org/10.1029/2020GL087737, 2020. a, b, c
Rigon, R., Rodriguez-Iturbe, I., Maritan, A., Giacometti, A., Tarboton, D. G., and Rinaldo, A.: On Hack's Law, Water Resour. Res., 32, 3367–3374, https://doi.org/10.1029/96WR02397, 1996. a
Rinaldo, A., Rodriguez-Iturbe, I., Rigon, R., Bras, R. L., Ijjasz-Vasquez, E., and Marani, A.: Minimum energy and fractal structures of drainage networks, Water Resour. Res., 28, 2183–2195, https://doi.org/10.1029/92WR00801, 1992. a, b, c
Rodríguez-Iturbe, I. and Valdés, J. B.: The geomorphologic structure of hydrologic response, Water Resour. Res., 15, 1409–1420, https://doi.org/10.1029/WR015i006p01409, 1979. a
Rodríguez-Iturbe, I., Rinaldo, A., Rigon, R., Bras, R. L., Marani, A., and Ijjász-Vásquez, E.: Energy dissipation, runoff production, and the three-dimensional structure of river basins, Water Resour. Res., 28, 1095–1103, https://doi.org/10.1029/91WR03034, 1992. a, b
Roe, G. H., Montgomery, D. R., and Hallet, B.: Effects of orographic precipitation variations on the concavity of steady-state river profiles, Geology, 30, 143–146, https://doi.org/10.1130/0091-7613(2002)030<0143:EOOPVO>2.0.CO;2, 2002. a
Sassolas-Serrayet, T., Cattin, R., and Ferry, M.: The shape of watersheds, Nat. Commun., 9, 3791, https://doi.org/10.1038/s41467-018-06210-4, 2018. a
Scherler, D. and Schwanghart, W.: Drainage divide networks – Part 1: Identification and ordering in digital elevation models, Earth Surf. Dynam., 8, 245–259, https://doi.org/10.5194/esurf-8-245-2020, 2020a. a, b
Scherler, D. and Schwanghart, W.: Drainage divide networks – Part 2: Response to perturbations, Earth Surf. Dynam., 8, 261–274, https://doi.org/10.5194/esurf-8-261-2020, 2020b. a
Schwanghart, W. and Scherler, D.: Short Communication: TopoToolbox 2 – MATLAB-based software for topographic analysis and modeling in Earth surface sciences, Earth Surf. Dynam., 2, 1–7, https://doi.org/10.5194/esurf-2-1-2014, 2014. a
Scott, D. N. and Wohl, E. E.: Bedrock fracture influences on geomorphic process and form across process domains and scales, Earth Surf. Proc. Land., 44, 27–45, https://doi.org/10.1002/esp.4473, 2019. a
Seybold, H., Berghuijs, W. R., Prancevic, J. P., and Kirchner, J. W.: Global dominance of tectonics over climate in shaping river longitudinal profiles, Nat. Geosci., 14, 503–507, https://doi.org/10.1038/s41561-021-00720-5, 2021. a, b, c
Sharp, R. P. and Malin, M. C.: Channels on Mars, GSA Bulletin, 86, 593–609, https://doi.org/10.1130/0016-7606(1975)86<593:COM>2.0.CO;2, 1975. a
Shelef, E.: Channel Profile and Plan-View Controls on the Aspect Ratio of River Basins, Geophys. Res. Lett., 45, 11712–11721, https://doi.org/10.1029/2018GL080172, 2018. a
Shelef, E. and Goren, L.: The rate and extent of wind-gap migration regulated by tributary confluences and avulsions, Earth Surf. Dynam., 9, 687–700, https://doi.org/10.5194/esurf-9-687-2021, 2021. a
Shen, X., Anagnostou, E. N., Mei, Y., and Hong, Y.: A global distributed basin morphometric dataset, Scientific Data, 4, 160124, https://doi.org/10.1038/sdata.2016.124, 2017. a
Sólyom, P. B. and Tucker, G. E.: The importance of the catchment area–length relationship in governing non-steady state hydrology, optimal junction angles and drainage network pattern, Geomorphology, 88, 84–108, https://doi.org/10.1016/j.geomorph.2006.10.014, 2007. a
Stock, J. D. and Dietrich, W. E.: Erosion of steepland valleys by debris flows, GSA Bulletin, 118, 1125–1148, https://doi.org/10.1130/B25902.1, 2006. a, b, c
Stokes, M. F. and Perron, J. T.: Modeling the Evolution of Aquatic Organisms in Dynamic River Basins, J. Geophys. Res.-Earth, 125, e2020JF005652, https://doi.org/10.1029/2020JF005652, 2020. a, b
Strong, C. M. and Mudd, S. M.: Explaining the climate sensitivity of junction geometry in global river networks, P. Natl. Acad. Sci. USA, 119, e2211942119, https://doi.org/10.1073/pnas.2211942119, 2022. a, b, c
Strong, C. M., Attal, M., Mudd, S. M., and Sinclair, H. D.: Lithological control on the geomorphic evolution of the Shillong Plateau in Northeast India, Geomorphology, 330, 133–150, https://doi.org/10.1016/j.geomorph.2019.01.016, 2019. a
Sun, T., Meakin, P., and Jøssang, T.: Minimum energy dissipation model for river basin geometry, Phys. Rev. E, 49, 4865–4872, https://doi.org/10.1103/PhysRevE.49.4865, 1994a. a
Thomas, J., Joseph, S., Thrivikramji, K. P., and Abe, G.: Morphometric analysis of the drainage system and its hydrological implications in the rain shadow regions, Kerala, India, J. Geogr. Sci., 21, 1077–1088, https://doi.org/10.1007/s11442-011-0901-2, 2011. a
Tucker, G. E. and Whipple, K. X.: Topographic outcomes predicted by stream erosion models: Sensitivity analysis and intermodel comparison, J. Geophys. Res.-Sol. Ea., 107, ETG 1-1–ETG 1-16, https://doi.org/10.1029/2001JB000162, 2002. a, b, c
Ward, D. J.: Dip, layer spacing, and incision rate controls on the formation of strike valleys, cuestas, and cliffbands in heterogeneous stratigraphy, Lithosphere, 11, 697–707, https://doi.org/10.1130/L1056.1, 2019. a
Whipple, K. X. and Tucker, G. E.: Implications of sediment-flux-dependent river incision models for landscape evolution, J. Geophys. Res.-Sol. Ea., 107, https://doi.org/10.1029/2000JB000044, 2002. a
Willemin, J. H.: Hack's law: Sinuosity, convexity, elongation, Water Resour. Research., 36, 3365–3374, https://doi.org/10.1029/2000WR900229<y, 2000. a
Willett, S. D.: Erosion on a line, Tectonophysics, 484, 168–180, https://doi.org/10.1016/j.tecto.2009.09.011, 2010. a
Willett, S. D., McCoy, S. W., Perron, J. T., Goren, L., and Chen, C.-Y.: Dynamic Reorganization of River Basins, Science, 343, 1248765, https://doi.org/10.1126/science.1248765, 2014. a, b, c
Willett, S. D., McCoy, S. W., and Beeson, H. W.: Transience of the North American High Plains landscape and its impact on surface water, Nature, 561, 528–532, https://doi.org/10.1038/s41586-018-0532-1, 2018. a
Willgoose, G., Bras, R. L., and Rodriguez-Iturbe, I.: A physical explanation of an observed link area-slope relationship, Water Resour. Res., 27, 1697–1702, https://doi.org/10.1029/91WR00937, 1991. a
Yi, R. S., Arredondo, Á., Stansifer, E., Seybold, H., and Rothman, D. H.: Shapes of river networks, P. Roy. Soc. A-Math. Phy., 474, 20180081, https://doi.org/10.1098/rspa.2018.0081, 2018. a
Zanardo, S., Zaliapin, I., and Foufoula-Georgiou, E.: Are American rivers Tokunaga self-similar? New results on fluvial network topology and its climatic dependence, J. Geophys. Res.-Earth, 118, 166–183, https://doi.org/10.1029/2012JF002392, 2013. a
Zaprowski, B. J., Pazzaglia, F. J., and Evenson, E. B.: Climatic influences on profile concavity and river incision, J. Geophys. Res.-Earth, 110, F3, https://doi.org/10.1029/2004JF000138, 2005. a, b, c
Editor
This paper presents a new way of quantifying geometries of drainage networks, moving beyond river long profiles to explore the complexity of planform branching river networks. Using the proposed length asymmetry metric, the paper demonstrates that complexity is correlated with landscape aridity, where arid landscapes have less complex networks compared to humid ones, suggesting this metric could be a new way of exploring the impact of climate on Earth's topography.
This paper presents a new way of quantifying geometries of drainage networks, moving beyond...
Short summary
To explore the pattern formed by rivers as they crisscross the land, we developed a way to measure how these patterns vary, from straight to complex, winding paths. We discovered that a river's degree of complexity depends on how the river slope changes downstream. Although this is strange (i.e., why would changes in slope affect twists of a river in map view?), we show that this dependency is almost inevitable and that the complexity could signify how arid the climate is or used to be.
To explore the pattern formed by rivers as they crisscross the land, we developed a way to...
