Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics

Abstract Past experimental work found that rill erosion occurs mainly during rill formation in response to feedback between rill-flow hydraulics and rill-bed roughness, and that this feedback mechanism shapes rill beds into a succession of step-pool units that self-regulates sediment transport capac...

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Main Authors: Savannah Morgan, Ray Huffaker, Rafael Giménez, Miguel A. Campo-Bescos, Rafael Muñoz-Carpena, Gerard Govers
Format: Article
Language:English
Published: Nature Portfolio 2022-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-26114-0
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author Savannah Morgan
Ray Huffaker
Rafael Giménez
Miguel A. Campo-Bescos
Rafael Muñoz-Carpena
Gerard Govers
author_facet Savannah Morgan
Ray Huffaker
Rafael Giménez
Miguel A. Campo-Bescos
Rafael Muñoz-Carpena
Gerard Govers
author_sort Savannah Morgan
collection DOAJ
description Abstract Past experimental work found that rill erosion occurs mainly during rill formation in response to feedback between rill-flow hydraulics and rill-bed roughness, and that this feedback mechanism shapes rill beds into a succession of step-pool units that self-regulates sediment transport capacity of established rills. The search for clear regularities in the spatial distribution of step-pool units has been stymied by experimental rill-bed profiles exhibiting irregular fluctuating patterns of qualitative behavior. We hypothesized that the succession of step-pool units is governed by nonlinear-deterministic dynamics, which would explain observed irregular fluctuations. We tested this hypothesis with nonlinear time series analysis to reverse-engineer (reconstruct) state-space dynamics from fifteen experimental rill-bed profiles analyzed in previous work. Our results support this hypothesis for rill-bed profiles generated both in a controlled lab (flume) setting and in an in-situ hillside setting. The results provide experimental evidence that rill morphology is shaped endogenously by internal nonlinear hydrologic and soil processes rather than stochastically forced; and set a benchmark guiding specification and testing of new theoretical framings of rill-bed roughness in soil-erosion modeling. Finally, we applied echo state neural network machine learning to simulate reconstructed rill-bed dynamics so that morphological development could be forecasted out-of-sample.
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spelling doaj.art-4bba795809a5486f844c471679c5e6b62022-12-22T04:42:05ZengNature PortfolioScientific Reports2045-23222022-12-0112111210.1038/s41598-022-26114-0Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamicsSavannah Morgan0Ray Huffaker1Rafael Giménez2Miguel A. Campo-Bescos3Rafael Muñoz-Carpena4Gerard Govers5Department of Agricultural and Biological Engineering, University of FloridaDepartment of Agricultural and Biological Engineering, University of FloridaIS-FOOD Institute, Public University of NavarreIS-FOOD Institute, Public University of NavarreDepartment of Agricultural and Biological Engineering, University of FloridaDepartment of Earth and Environmental SciencesAbstract Past experimental work found that rill erosion occurs mainly during rill formation in response to feedback between rill-flow hydraulics and rill-bed roughness, and that this feedback mechanism shapes rill beds into a succession of step-pool units that self-regulates sediment transport capacity of established rills. The search for clear regularities in the spatial distribution of step-pool units has been stymied by experimental rill-bed profiles exhibiting irregular fluctuating patterns of qualitative behavior. We hypothesized that the succession of step-pool units is governed by nonlinear-deterministic dynamics, which would explain observed irregular fluctuations. We tested this hypothesis with nonlinear time series analysis to reverse-engineer (reconstruct) state-space dynamics from fifteen experimental rill-bed profiles analyzed in previous work. Our results support this hypothesis for rill-bed profiles generated both in a controlled lab (flume) setting and in an in-situ hillside setting. The results provide experimental evidence that rill morphology is shaped endogenously by internal nonlinear hydrologic and soil processes rather than stochastically forced; and set a benchmark guiding specification and testing of new theoretical framings of rill-bed roughness in soil-erosion modeling. Finally, we applied echo state neural network machine learning to simulate reconstructed rill-bed dynamics so that morphological development could be forecasted out-of-sample.https://doi.org/10.1038/s41598-022-26114-0
spellingShingle Savannah Morgan
Ray Huffaker
Rafael Giménez
Miguel A. Campo-Bescos
Rafael Muñoz-Carpena
Gerard Govers
Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
Scientific Reports
title Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
title_full Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
title_fullStr Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
title_full_unstemmed Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
title_short Experimental evidence that rill-bed morphology is governed by emergent nonlinear spatial dynamics
title_sort experimental evidence that rill bed morphology is governed by emergent nonlinear spatial dynamics
url https://doi.org/10.1038/s41598-022-26114-0
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