Stability and bistability in a one‐dimensional model of coastal foredune height

Goldstein, Evan B.; Moore, Laura J.

doi:10.1002/2015jf003783

Cited by 40 publications

(36 citation statements)

References 62 publications

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“…Furthermore, although the beach profile drastically changed from stage 2 to stage 4, it may return to a similar morphology to those in stage 1 or 2 in the future. A small difference in a parameter may lead to another stable morphology as shown by Goldstein and Moore () for a foredune. Beisner et al .…”

Section: Discussionmentioning

confidence: 99%

Regime shifts in the multi‐annual evolution of a sandy beach profile

Kuriyama

Yanagishima

2018

Earth Surf Processes Landf

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Extreme storms occasionally induce extraordinarily large morphological changes, which may have major impacts on coastal resilience, tourism and the environment. Some of the changes are persistent, and they are defined as regime shifts. During a 28‐year period from 1986 to 2014, the foreshore and the inner transition zone of the Hasaki coast of Japan underwent four morphological stages separated by regime shifts in beach profiles. From stage 2 to stages 3 and 4, over a relatively short period between 2006 and 2008, the beach profiles in the foreshore and the inner transition zone drastically changed, mainly because of large offshore waves. From stage 2 to stage 3, the foreshore and the inner transition zone were greatly eroded. Then, from stage 3 to stage 4, although the inner transition zone was further eroded, the foreshore underwent accretion. The severe erosion of the inner transition zone over the 2‐year period formed a steep slope, which was inferred to have led to accretion in the foreshore in stage 4. Stage 4 persisted for approximately 7 years, and the beach profile had not returned to a similar morphology to those of stages 1 or 2 by the end of the study period. © 2018 John Wiley & Sons, Ltd.

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Section: Discussionmentioning

confidence: 99%

Regime shifts in the multi‐annual evolution of a sandy beach profile

Kuriyama

Yanagishima

2018

Earth Surf Processes Landf

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“…Several researchers have sought to isolate the role of a small number of controls and to investigate the possible limits that they impose on the evolution of the foredune and dune field complexes (e.g. Short and Hesp, ; Bauer and Davidson‐Arnott, ; Baas and Nield, ; Durán and Moore, ; Goldstein and Moore, ). Models have also been developed to predict the extent of dune erosion due to wave run‐up during individual storm events (e.g.…”

Section: Conceptual Backgroundmentioning

confidence: 97%

“…An increasing number of computer simulation models have been proposed that incorporate some of these controls, but typically they focus on equilibrium transport systems and the feedback that the evolving morphology exerts on the wind and transport dynamics (e.g. Andreotti, ; Durán and Moore, ; Goldstein and Moore, ).…”

Section: Introductionmentioning

confidence: 99%

Sediment budget controls on foredune height: Comparing simulation model results with field data

Davidson‐Arnott

Hesp

Ollerhead

et al. 2018

Earth Surf Processes Landf

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The form, height and volume of coastal foredunes reflects the long‐term interaction of a suite of nearshore and aeolian processes that control the amount of sand delivered to the foredune from the beach versus the amount removed or carried inland. In this paper, the morphological evolution of more than six decades is used to inform the development of a simple computer model that simulates foredune growth. The suggestion by others that increased steepness of the seaward slope will retard sediment supply from the beach to the foredune due to development of a flow stagnation zone in front of the foredune, hence limiting foredune growth, was examined. Our long‐term data demonstrate that sediment can be transferred from the beach to the foredune, even with a steep foredune stoss slope, primarily because much of the sediment transfer takes place under oblique rather than onshore winds. During such conditions, the apparent aspect ratio of the dune to the oncoming flow is less steep and conditions are not as favourable for the formation of a stagnation zone. The model shows that the rate of growth in foredune height varies as a function of sediment input from the beach and erosion due to storm events, as expected, but it also demonstrates that the rate of growth in foredune height per unit volume increase will decrease over time, which gives the perception of an equilibrium height having been reached asymptotically. As the foredune grows in size, an increasing volume of sediment is needed to yield a unit increase in height, therefore the apparent growth rate appears to slow. Copyright © 2018 John Wiley & Sons, Ltd.

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“…In the case of R > T c , environmental conditions may be conducive to bistable dynamics in the alongshore directionsimilar to the cross-shore models of Durán Vinent and Moore (2015) and Goldstein and Moore (2016) -with alternating stretches of dunes near the maximum height and lower intervening areas. In addition to storms, other factors such as a high water table, low sediment supply, grain size variability, development of shell lag and climatic conditions may also result in the suppression of the coalescing of coastal foredunes Russell, 2006, 2009;Wolner et al, 2013;Hoonhout and de Vries, 2016;Ruz and Hesp, 2014;Ruz et al, 2017a).…”

Section: Discussionmentioning

confidence: 99%

Lateral vegetation growth rates exert control on coastal foredune hummockiness and coalescing time

2017

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Abstract. Coastal foredunes form along sandy, low-sloped coastlines and range in shape from continuous dune ridges to hummocky features, which are characterized by alongshore-variable dune crest elevations. Initially scattered dune-building plants and species that grow slowly in the lateral direction have been implicated as a cause of foredune "hummockiness". Our goal in this work is to explore how the initial configuration of vegetation and vegetation growth characteristics control the development of hummocky coastal dunes including the maximum hummockiness of a given dune field. We find that given sufficient time and absent external forcing, hummocky foredunes coalesce to form continuous dune ridges. Model results yield a predictive rule for the timescale of coalescing and the height of the coalesced dune that depends on initial plant dispersal and two parameters that control the lateral and vertical growth of vegetation, respectively. Our findings agree with previous observational and conceptual work -whether or not hummockiness will be maintained depends on the timescale of coalescing relative to the recurrence interval of high-water events that reset dune building in low areas between hummocks. Additionally, our model reproduces the observed tendency for foredunes to be hummocky along the southeast coast of the US where lateral vegetation growth rates are slower and thus coalescing times are likely longer.

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Stability and bistability in a one‐dimensional model of coastal foredune height

Cited by 40 publications

References 62 publications

Regime shifts in the multi‐annual evolution of a sandy beach profile

Regime shifts in the multi‐annual evolution of a sandy beach profile

Sediment budget controls on foredune height: Comparing simulation model results with field data

Lateral vegetation growth rates exert control on coastal foredune hummockiness and coalescing time

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