GSTDTAP  > 地球科学
DOI10.1073/pnas.2010416117
Chaos in a simple model of a delta network
Gerard Salter; Vaughan R. Voller; Chris Paola
2020-10-19
发表期刊Proceedings of the National Academy of Science
出版年2020
英文摘要

The flux partitioning in delta networks controls how deltas build land and generate stratigraphy. Here, we study flux-partitioning dynamics in a delta network using a simple numerical model consisting of two orders of bifurcations. Previous work on single bifurcations has shown periodic behavior arising due to the interplay between channel deepening and downstream deposition. We find that coupling between upstream and downstream bifurcations can lead to chaos; despite its simplicity, our model generates surprisingly complex aperiodic yet bounded dynamics. Our model exhibits sensitive dependence on initial conditions, the hallmark signature of chaos, implying long-term unpredictability of delta networks. However, estimates of the predictability horizon suggest substantial room for improvement in delta-network modeling before fundamental limits on predictability are encountered. We also observe periodic windows, implying that a change in forcing (e.g., due to climate change) could cause a delta to switch from predictable to unpredictable or vice versa. We test our model by using it to generate stratigraphy; converting the temporal Lyapunov exponent to vertical distance using the mean sedimentation rate, we observe qualitatively realistic patterns such as upwards fining and scale-dependent compensation statistics, consistent with ancient and experimental systems. We suggest that chaotic behavior may be common in geomorphic systems and that it implies fundamental bounds on their predictability. We conclude that while delta “weather” (precise configuration) is unpredictable in the long-term, delta “climate” (statistical behavior) is predictable.

领域地球科学
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文献类型期刊论文
条目标识符http://119.78.100.173/C666/handle/2XK7JSWQ/300248
专题地球科学
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Gerard Salter,Vaughan R. Voller,Chris Paola. Chaos in a simple model of a delta network[J]. Proceedings of the National Academy of Science,2020.
APA Gerard Salter,Vaughan R. Voller,&Chris Paola.(2020).Chaos in a simple model of a delta network.Proceedings of the National Academy of Science.
MLA Gerard Salter,et al."Chaos in a simple model of a delta network".Proceedings of the National Academy of Science (2020).
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