Predicting Climate‐Driven Coastlines With a Simple and Efficient Multiscale Model

J. A. A. Antolinez and F. J. Mendez acknowledge the support of the Spanish “Ministerio de Economia y Competitividad” under Grant BIA2014-59643-R.

[1]  Dylan Anderson,et al.  A Climate Index Optimized for Longshore Sediment Transport Reveals Interannual and Multidecadal Littoral Cell Rotations , 2018, Journal of Geophysical Research: Earth Surface.

[2]  Li H. Erikson,et al.  A model integrating longshore and cross‐shore processes for predicting long‐term shoreline response to climate change , 2017 .

[3]  Nicholas C. Kraus,et al.  Calculation of beach change under interacting cross-shore and longshore processes , 2010 .

[4]  Ad Reniers,et al.  Modeling cross-shore sandbar behavior on the timescale of weeks , 2007 .

[5]  Sean Vitousek,et al.  Can beaches survive climate change? , 2017 .

[6]  Andrew B. Kennedy,et al.  Depth of closure over large regions using airborne bathymetric lidar , 2016 .

[7]  Christopher W. Reed,et al.  The Columbia River Littoral Cell: A Sediment Budget Overview , 1999 .

[8]  Robert G. Dean,et al.  The Modified Bruun Rule Extended for Landward Transport , 2013 .

[9]  Magnus Larson,et al.  Simulating cross-shore material exchange at decadal scale. Theory and model component validation , 2016 .

[10]  P. Ruggiero,et al.  Increasing wave heights and extreme value projections: The wave climate of the U.S. Pacific Northwest , 2010 .

[11]  Christian Winter,et al.  Shore and bar cross‐shore migration, rotation, and breathing processes at an embayed beach , 2017 .

[12]  T. Aagaard,et al.  Sediment supply to beaches: Cross‐shore sand transport on the lower shoreface , 2014 .

[13]  Dylan Anderson,et al.  OBSERVATIONS OF INTERTIDAL BAR WELDING ALONG A HIGH ENERGY, DISSIPATIVE COASTLINE , 2015 .

[14]  R. Dean,et al.  Shoreline variability via empirical orthogonal function analysis: Part II relationship to nearshore conditions , 2007 .

[15]  A. Brad Murray,et al.  High‐angle wave instability and emergent shoreline shapes: 1. Modeling of sand waves, flying spits, and capes , 2006 .

[16]  Marcel J. F. Stive,et al.  Re-evaluation and improvement of three commonly used bulk longshore sediment transport formulas , 2013 .

[17]  Giovanni Coco,et al.  Observations of shoreline-sandbar coupling on an embayed beach , 2013 .

[18]  Hilary F. Stockdon,et al.  The relative contribution of waves, tides, and nontidal residuals to extreme total water levels on U.S. West Coast sandy beaches , 2017 .

[19]  A. Brad Murray,et al.  Instability and finite-amplitude self-organization of large-scale coastline shapes , 2013, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[20]  Déborah Idier,et al.  Formation mechanisms for self‐organized kilometer‐scale shoreline sand waves , 2017 .

[21]  George M. Kaminsky,et al.  Historical evolution of the Columbia River littoral cell , 2010 .

[22]  J. A. Roelvink,et al.  Coastal morphodynamic evolution techniques , 2006 .

[23]  Déborah Idier,et al.  Formation mechanisms for self-organized km-scale shoreline sand waves , 2017 .

[24]  C. Wentworth A Scale of Grade and Class Terms for Clastic Sediments , 1922, The Journal of Geology.

[25]  Elizabeth R. Jessup,et al.  A Technique for Accelerating the Convergence of Restarted GMRES , 2005, SIAM J. Matrix Anal. Appl..

[26]  R. Hallermeier,et al.  A PROFILE ZONATION FOR SEASONAL SAND BEACHES FROM WAVE CLIMATE , 1980 .

[27]  Patrick L. Barnard,et al.  Beach response dynamics of a littoral cell using a 17-year single-point time series of sand thickness , 2012 .

[28]  A. Murray,et al.  Formation of coastline features by large-scale instabilities induced by high-angle waves , 2001, Nature.

[29]  Peter Ruggiero,et al.  Extreme oceanographic forcing and coastal response due to the 2015–2016 El Niño , 2017, Nature Communications.

[30]  Peter Ruggiero,et al.  Coastal protection and conservation on sandy beaches and dunes: context‐dependent tradeoffs in ecosystem service supply , 2017 .

[31]  M. Capobianco,et al.  The coastal tract (Part 1): A conceptual approach to aggregated modelling of low-order coastal change , 2003 .

[32]  Roland Garnier,et al.  Shoreline instability under low‐angle wave incidence , 2011 .

[33]  R. Dean,et al.  Shoreline variability via empirical orthogonal function analysis: Part I temporal and spatial characteristics , 2007 .

[34]  Robert G. Dean,et al.  A simple new shoreline change model , 2004 .

[35]  N. Booij,et al.  A third-generation wave model for coastal regions-1 , 1999 .

[36]  Peter Nielsen,et al.  Depth, bed slope and wave climate dependence of long term average sand transport across the lower shoreface , 2016 .

[37]  Mitchell D. Harley,et al.  New insights into embayed beach rotation: The importance of wave exposure and cross‐shore processes , 2015 .

[38]  Peter Ruggiero,et al.  Estimating Storm-Induced Dune Erosion and Overtopping along U.S. West Coast Beaches , 2014 .

[39]  Brian Voigt,et al.  Seasonal to Interannual Morphodynamics along a High-Energy Dissipative Littoral Cell , 2005 .

[40]  Kristen D. Splinter,et al.  A simple equilibrium model for predicting shoreline change , 2013 .

[41]  Kristen D. Splinter,et al.  How much data is enough? The importance of morphological sampling interval and duration for calibration of empirical shoreline models , 2013 .

[42]  Hilary F. Stockdon,et al.  Empirical parameterization of setup, swash, and runup , 2006 .

[43]  P. Bruun Sea-Level Rise as a Cause of Shore Erosion , 1962 .

[44]  Gerben Ruessink,et al.  Modeling the long-term diffusion and feeding capability of a mega-nourishment , 2017 .

[45]  Jeffrey A. Oskamp,et al.  An Inner-Shelf Wave Forecasting System for the U.S. Pacific Northwest , 2013 .

[46]  Christopher R. Sherwood,et al.  Regional Sediment Budget of the Columbia River Littoral Cell, USA , 2002 .

[47]  Jørgen Fredsøe,et al.  Numerical modeling of shoreline undulations part 2: Varying wave climate and comparison with observations , 2013 .

[48]  Jr. Asbury H. Sallenger Storm Impact Scale for Barrier Islands , 2000 .

[49]  Robert J. Nicholls,et al.  Evaluation of depth of closure using data from Duck, NC, USA , 1998 .

[50]  Joan Oltman-Shay,et al.  A generalized equilibrium model for predicting daily to interannual shoreline response , 2014 .

[51]  Ian L. Turner,et al.  Forecasting seasonal to multi-year shoreline change , 2010 .

[52]  Dirk-Jan R. Walstra,et al.  Input reduction for long-term morphodynamic simulations in wave-dominated coastal settings , 2013 .

[53]  Robert G. Dean,et al.  Equilibrium Beach Profiles: Characteristics and Applications , 1991 .

[54]  Peter Ruggiero,et al.  Sea Level Variations along the U.S. Pacific Northwest Coast: Tectonic and Climate Controls , 2011 .

[55]  Sean Vitousek,et al.  A NONLINEAR, IMPLICIT ONE-LINE MODEL TO PREDICT LONG-TERM SHORELINE CHANGE , 2015 .

[56]  Jack C. Cox,et al.  Overload Bore Propagation Due to an Overtopping Wave , 1986 .

[57]  Marcel J. F. Stive,et al.  Rising seas and retreating coastlines , 2009 .

[58]  Jessica H Podoski Regional Sediment Budgets for the Haleiwa Region, Oahu, Hawaii , 2014 .

[59]  Vincent Marieu,et al.  A reduced-complexity shoreline change model combining longshore and cross-shore processes: The LX-Shore model , 2018, Environ. Model. Softw..

[60]  William A. Birkemeier,et al.  Field Data on Seaward Limit of Profile Change , 1985 .

[61]  Dirk-Jan R. Walstra,et al.  On bar growth and decay during interannual net offshore migration , 2012 .

[62]  Magnus Larson,et al.  Simulating cross-shore material exchange at decadal scale. Model application , 2016 .

[63]  Atilla Bayram,et al.  A new formula for the total longshore sediment transport rate , 2007 .

[64]  P. Komar The mechanics of sand transport on beaches , 1971 .

[65]  George M. Kaminsky,et al.  Predicting Shoreline Change at Decadal Scale in the Pacific Northwest, USA , 2001 .

[66]  Michael A. Kinsela,et al.  CONTROLS ON SHOREFACE RESPONSE TO SEA LEVEL CHANGE , 2015 .

[67]  George M. Kaminsky,et al.  New Insights on Coastal Foredune Growth: The Relative Contributions of Marine and Aeolian Processes , 2018 .

[68]  Robert G. Dean,et al.  Convolution Method for Time-Dependent Beach-Profile Response , 1993 .

[69]  Marissa Yates,et al.  Equilibrium shoreline response: Observations and modeling , 2009 .

[70]  Daniel R. Cayan,et al.  Storminess Variability along the California Coast: 1858-2000. , 2003 .

[71]  George M. Kaminsky,et al.  Modeling the effects of wave climate and sediment supply variability on large-scale shoreline change , 2010 .

[72]  Peter Ruggiero,et al.  The influence of seasonal to interannual nearshore profile variability on extreme water levels: Modeling wave runup on dissipative beaches , 2016 .

[73]  Leo C. van Rijn,et al.  A simple general expression for longshore transport of sand, gravel and shingle , 2014 .

[74]  David G. Aubrey,et al.  Seasonal patterns of onshore/offshore sediment movement , 1979 .

[75]  Huib J. de Vriend,et al.  The Coastal-Tract (Part 2): Applications of Aggregated Modeling of Lower-order Coastal Change , 2003 .

[76]  P. K. Tonnon,et al.  Numerical modelling of erosion rates, life span and maintenance volumes of mega nourishments , 2018 .

[77]  R. Franke Scattered data interpolation: tests of some methods , 1982 .

[78]  Curt D. Storlazzi,et al.  Sediment distribution and transport along a rocky, embayed coast: Monterey Peninsula and Carmel Bay, California , 2000 .

[79]  Jørgen Fredsøe,et al.  Impact of groyne fields on the littoral drift: A hybrid morphological modelling study , 2016 .

[80]  D. Keyes,et al.  Jacobian-free Newton-Krylov methods: a survey of approaches and applications , 2004 .

[81]  A. Murray,et al.  Reducing model complexity for explanation and prediction , 2007 .

[82]  A. Brad Murray,et al.  A unifying framework for shoreline migration: 2. Application to wave‐dominated coasts , 2009 .

[83]  G. Oertel,et al.  Sediment Transport of Estuary Entrance Shoals and the Formation of Swash Platforms , 1972 .

[84]  Peter Ruggiero,et al.  Invasive grasses, climate change, and exposure to storm‐wave overtopping in coastal dune ecosystems , 2013, Global change biology.

[85]  George M. Kaminsky,et al.  National Assessment of Shoreline Change: Historical Shoreline Change Along the Pacific Northwest Coast , 2013 .

[86]  A. Brad Murray,et al.  Modes and emergent time scales of embayed beach dynamics , 2014 .

[87]  Charitha Pattiaratchi,et al.  The seasonal closure of tidal inlets: Wilson Inlet—a case study , 1999 .

[88]  Marissa Yates,et al.  Equilibrium shoreline response of a high wave energy beach , 2011 .

[89]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[90]  A. Brad Murray,et al.  Observed changes in hurricane‐driven waves explain the dynamics of modern cuspate shorelines , 2013 .

[91]  Alejandra C. Ortiz,et al.  Exploring shoreface dynamics and a mechanistic explanation for a morphodynamic depth of closure , 2016 .

[92]  Inigo J. Losada,et al.  GOW2: A global wave hindcast for coastal applications , 2017 .

[93]  Robert Dolan,et al.  Large-scale reversals in shoreline trends along the U.S. mid-Atlantic coast , 1994 .

[94]  Jon French,et al.  Appropriate complexity for the prediction of coastal and estuarine geomorphic behaviour at decadal to centennial scales , 2016 .

[95]  Peter Ruggiero,et al.  Regional scale sandbar variability: Observations from the U.S. Pacific Northwest , 2015 .

[96]  Robert G. Dean,et al.  Coastal Sediment Processes: Toward Engineering Solutions , 1987 .

[97]  Tian-Jian Hsu,et al.  SedFoam: A multi-dimensional Eulerian two-phase model for sediment transport and its application to momentary bed failure , 2017 .

[98]  Robert Dolan,et al.  A new photogrammetric method for determining shoreline erosion , 1978 .

[99]  J. William Kamphuis,et al.  ALONGSHORE SEDIMENT TRANSPORT RATE , 1991 .

[100]  Michael A. Ellis,et al.  Exploring the sensitivities of crenulate bay shorelines to wave climates using a new vector‐based one‐line model , 2015 .

[101]  George M. Kaminsky,et al.  Morphodynamics of prograding beaches: A synthesis of seasonal- to century-scale observations of the Columbia River littoral cell , 2016 .

[102]  Shmuel Rippa,et al.  An algorithm for selecting a good value for the parameter c in radial basis function interpolation , 1999, Adv. Comput. Math..

[103]  David P. Callaghan,et al.  Probabilistic estimation of storm erosion using analytical, semi-empirical, and process based storm erosion models , 2013 .

[104]  Jørgen Fredsøe,et al.  Numerical modeling of shoreline undulations part 1: Constant wave climate , 2013 .

[105]  Giovanni Coco,et al.  Beach response to a sequence of extreme storms , 2014 .

[106]  Jose A. A. Antolínez,et al.  Downscaling Changing Coastlines in a Changing Climate: The Hybrid Approach , 2018 .

[107]  R. Nicholls,et al.  Future Coastal Population Growth and Exposure to Sea-Level Rise and Coastal Flooding - A Global Assessment , 2015, PloS one.

[108]  J. List,et al.  Complexities in barrier island response to sea level rise: Insights from numerical model experiments, North Carolina Outer Banks , 2010 .

[109]  Paula Camus,et al.  A multiscale climate emulator for long-term morphodynamics (MUSCLE-morpho) , 2016 .

[110]  A. Brad Murray,et al.  erratum: Formation of coastline features by large-scale instabilities induced by high-angle waves , 2002, Nature.

[111]  D. Beets,et al.  The Holocene evolution of the barrier and the back-barrier basins of Belgium and the Netherlands as a function of late Weichselian morphology, relative sea-level rise and sediment supply , 2000, Netherlands Journal of Geosciences - Geologie en Mijnbouw.

[112]  Roshanka Ranasinghe,et al.  A reevaluation of coastal embayment rotation: The dominance of cross-shore versus alongshore sediment transport processes, Collaroy-Narrabeen Beach, southeast Australia , 2011 .

[113]  Hans Hanson,et al.  Genesis-A Generalized Shoreline Change Numerical Model , 1989 .

[114]  B. Latteux,et al.  Approaches to long-term modelling of coastal morphology : A review , 1993 .

[115]  P. Camus,et al.  A hybrid efficient method to downscale wave climate to coastal areas , 2011 .

[116]  A. Brad Murray,et al.  High‐angle wave instability and emergent shoreline shapes: 2. Wave climate analysis and comparisons to nature , 2006 .