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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Nature Portfolio
2022-12-01
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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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issn | 2045-2322 |
language | English |
last_indexed | 2024-04-11T05:50:56Z |
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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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