Abstract
Sea-level rise is causing coastal inundation events in estuaries, harbours, bays, and tidal rivers to happen more often as predictable daily high and low tides reach higher levels. This can lead to coastal inundation happening under benign weather conditions, as flood thresholds are exceeded due to tides alone without the influence of storm surges or other phenomena. As such, changes in frequency of this 'tide-only' inundation may be a useful metric to quantify the role that sea-level rise plays in modulating the risk of coastal inundation from high still water levels. Here we present a conceptual model for 'tide-only' inundation and propose a practical methodology to formulate tide-only inundation statistics: estimates, historical trends, and future projections. This enables this emerging natural hazard to be fully incorporated into new and existing coastal risk assessment frameworks and considered in coastal management and planning strategies at local and national levels. Further, it leads to a framework that can quantify the role that tides play in coastal flooding as sea levels rise.
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References
Arns A, Wahl T, Haigh ID, Jensen J, Pattiaratchi C (2013) Estimating extreme water level probabilities: A comparison of the direct methods and recommendations for best practise. Coast Eng 81:51–66. https://doi.org/10.1016/j.coastaleng.2013.07.003
Arns A, Dangendorf S, Jensen J, Talke S, Bender J, Pattiaratchi C (2017) Sea-level rise induced amplification of coastal protection design heights. Sci Rep 7:40171. https://doi.org/10.1038/srep40171
Arns A, Wahl T, Wolff C, Vafeidis AT, Haigh ID, Woodworth P, Nehuser S, Jensen J (2020) Non-linear interaction modulates global extreme sea levels, coastal flood exposure, and impacts. Nat Commun 11:1918. https://doi.org/10.1038/s41467-020-15752-5
Australian Hydrographic Service (2012) Australian National Tide Tables 2013 Australian Hydrographic Publication 11. Department of Defence, Commonwealth of Australia, Sydney
Caldwell PC, Merrifield MA, Thompson PR (2015) Sea level measured by tide gauges from global oceans—the joint archive for sea level holdings (NCEI Accession 0019568), version 5.5. NOAA National Centers for Environmental Information, Dataset. https://doi.org/10.7289/V5V40S7W. https://uhslc.soest.hawaii.edu/
Callaghan J, Power SB (2014) Major coastal flooding in southeastern Australia 1860–2012, associated deaths and weather systems. Aust Meteorol Oceanogr J 64:183–213
Church JA, Hunter JR, McInnes KL, White NJ (2006) Sea-level rise around the Australian coastline and the changing frequency of extreme sea-level events. Aust Meteorol Mag 55:253–260
Codiga D (2011) Unified tidal analysis and prediction using the UTide Matlab functions. GSO Technical Report 2011-01. Graduate School of Oceanography, University of Rhode Island, United States of America. https://doi.org/10.13140/RG.2.1.3761.2008
Dahl KA, Fitzpatrick MF, Spanger-Siegfried S (2017) Sea level rise drives increased tidal flooding frequency at tide gauges along the U.S. East and Gulf coasts: projections for 2030 and 2045. PLoS ONE 12:e0170949. https://doi.org/10.1371/journal.pone.0170949
Dangendorf S, Hay C, Calafat FM, Marcos M, Piecuch CP, Berk K, Jensen J (2019) Persistent acceleration in global sea-level rise since the 1960s. Nat Clim Chang 9:705–710. https://doi.org/10.1038/s41558-019-0531-8
Devlin AT, Jay DA, Talke SA, Zaron ED, Pan J, Lin H (2017a) Coupling of sea level and tidal range changes, with implications for future water levels. Sci Rep 7:17021. https://doi.org/10.1038/s41598-017-17056-z
Devlin AT, Jay DA, Zaron ED, Talke SA, Pan J, Lin H (2017b) Tidal variability related to sea level variability in the Pacific Ocean. J Geophys Res Oceans 122:8445–8463. https://doi.org/10.1002/2017JC013165
Fasullo JT, Nerem RS, Hamlington B (2016) Is the detection of accelerated sea level rise imminent? Sci Rep 6:31245. https://doi.org/10.1038/srep31245
Ford M, Merrifield MA, Becker JM (2018) Inundation of a low-lying urban atoll island: Majuro, Marshall Islands. Nat Hazards 91:1273–1297. https://doi.org/10.1007/s11069-018-3183-5
Foreman MGG (1977) Manual for tidal heights analysis and prediction. Pacific Marine Science Report 77–10. Institue of Ocean Sciences, Patricia Bay, Victoria, British Columbia, Canada. http://www.omg.unb.ca/GGE/5013_LABS/heights.pdf. Accessed 24 Apr 2020
Ghanbari M, Arabi M, Obeysekera J (2020) Chronic and acute coastal flood risks to assets and communities in Southeast Florida. J Water Resour Plan Manag 146:4020049. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001245
Habel S, Fletcher CH, Anderson TR, Thompson PR (2020) Sea-level rise induced multi-mechanism flooding and contribution to urban infrastructure failure. Sci Rep 10:3796. https://doi.org/10.1038/s41598-020-60762-4
Hague BS, Murphy BF, Jones DA, Taylor AJ (2019) Developing impact-based thresholds for coastal inundation from tide gauge observations. J South Hemisphere Earth Syst Sci 69:252–272. https://doi.org/10.1071/ES19024
Hague BS, McGregor S, Reef R, Murphy BF, Jones DA (2020) Sea-level rise driving increasingly predictable coastal inundation in Sydney Australia. Earth Future 8(9):e2020EF001607. https://doi.org/10.1029/2020EF001607
Haigh ID (2017) Tides and Water Levels. In: Choo YS, Jukes P, Carlton J (eds) Encyclopedia of Maritime and Offshore Engineering. Wiley, New York
Haigh ID, Eliot M, Pattiaratchi C (2011) Global influences of the 18.61 year nodal cycle and 8.85 year cycle of lunar perigee on high tidal levels. J Geophys Res 116:C06025. https://doi.org/10.1029/2010JC006645
Haigh ID, McPherson LR, Mason MS, Wijeratne EMS, Pattiaratchi CB, Crompton RP, George S (2014a) Estimating present day extreme water level exceedance probabilities around the coastline of Australia: tropical cyclone-induced storm surges. Clim Dyn 42:139–157. https://doi.org/10.1007/s00382-012-1653-0
Haigh ID, Wijeratne EMS, McPherson LR, Pattiaratchi CB, Mason MS, Crompton RP, George S (2014b) Estimating present day extreme water level exceedance probabilities around the coastline of Australia: tides, extra-tropical storm surges and mean sea level. Clim Dyn 42:121–138. https://doi.org/10.1007/s00382-012-1652-1
Haigh ID, Wadey MP, Wahl T, Ozsoy O, Nicholls RJ, Brown JM, Horsburgh K, Gouldby B (2016) Spatial and temporal analysis of extreme sea level and storm surge events around the coastline of the UK. Sci Data 3:160107. https://doi.org/10.1038/sdata.2016.107
Haigh ID, Ozsoy O, Wadey MP, Nicholls RJ, Gallop SL, Wahl T, Brown JM (2017) An improved database of coastal flooding in the United Kingdom from 1915 to 2016. Sci Data 4:170100. https://doi.org/10.1038/sdata.2017.100
Haigh ID, Pickering MD, Green JAM, Arbic BK, Arns A, Dangendorf S, Hill DF, Horsburgh K, Howardm TI, Jay D, Janicke DA, Lee L, Muller SB, Schindelegger M, Talke M, Wilmes SA, Woodworth S (2019) The tides they are A-Changin’: a comprehensive review of past and future nonastronomical changes in tides, their driving mechanisms, and future implications. Rev Geophys 57:e2018RG000636. https://doi.org/10.1029/2018RG000636
Hanslow DJ, Morris BM, Foulsham E, Kinsela MA (2018) A regional scale approach to assessing current and potential future exposure to tidal inundation in different types of Estuaries. Sci Rep 8:7065. https://doi.org/10.1038/s41598-018-25410-y
Harker A, Green JAM, Schindigger M, Wilmes S (2019) The impact of sea-level rise on tidal characteristics around Australia. Ocean Sci 15:147–159. https://doi.org/10.5194/os-15-147-2019
Hino M, Tiver Belanger S, Field CB, Davies AR, Mach KJ (2019) High-tide flooding disrupts local economic activity. Sci Adv 5:eaau2736. https://doi.org/10.1126/sciadv.aau2736
Holgate SJ, Matthews A, Woodworth PL, Rickards LJ, Tamisiea ME, Bradshaw E, Foden PR, Gordon KM, Jevrejeva S, Pugh J (2013) New data systems and products at the permanent service for mean sea level. J Coast Res 29:493–504. https://doi.org/10.2112/JCOASTRES-D-12-00175
Hunter J (2020) Are tidal predictions a good guide to future extremes?—a critique of the Witness King Tides Project. Ocean Sci 16:703–714. https://doi.org/10.5194/os-16-703-2020
Hunter JR, Woodworth PL, Wahl T, Nicholls RJ (2017) Using global tide gauge data to validate and improve the representation of extreme sea levels in flood impact studies. Global Planet Change 156:34–45. https://doi.org/10.1016/j.gloplacha.2017.06.007
Idier D, Rohmer J, Pederos R, Le Roy S, Lambert J, Louiser J, Le Cozzanet G, Le Cornec E (2020) Coastal flood: a composite method for past events characterisation providing insights in past, present and future hazards—joining historical, statistical and modelling approaches. Nat Hazards 101:465–501. https://doi.org/10.1007/s11069-020-03882-4
Intergovernmental Panel on Climate Change (2019) Summary for policymakers. In: Portner H-O, Roberts DC, Masson-Delmotte V, Zhai P, Tignor M, Poloczanska E, Mintenbeck K, Nicolai M, Okem A, Petzold J, Rama B, Weyer N (eds) IPCC special report on the ocean and cryosphere in a changing climate. Cambridge University Press, Cambridge
Jacobs JM, Cattaneo LR, Sweet W, Mansfield T (2018) Recent and future outlooks for nuisance flooding impacts on roadways on the U.S. East Coast Transp Res Rec 2672:1–10. https://doi.org/10.1177/0361198118756366
Jay DA, Kukulka T (2003) Revising the paradigm of tidal analysis—the uses of non-stationary data. Ocean Dyn 53:110–125. https://doi.org/10.1007/s10236-003-0042-y
Karegar MA, Dixon TH, Malservisi R, Kusche J, Engelhart SE (2017) Nuisance flooding and relative sea-level rise: the importance of present-day land motion. Sci Rep 7:11197. https://doi.org/10.1038/s41598-017-11544-y
Kasmalkar IG, Serafin KA, Miao Y, Avery Bick I, Ortolano L, Ouyang D, Suckale J (2020) When floods hit the road: resilience to flood-related traffic disruption in the San Francisco Bay Area and beyond. Sci Adv 6:eaba2423. https://doi.org/10.1126/sciadv.aba2423
Kvale EP (2006) The origin of neap-spring tidal cycles. Mar Geol 235:5–18. https://doi.org/10.1016/j.margeo.2006.10.001
Leonard M, Westra S, Phatak A, Lambert M, van den Hurk B, McInnes K, Risbey J, Schuster S, Jakob D, Stafford-Smith M (2014) A compound event framework for understanding extreme impacts. WIREs Clim Change 5:113–128. https://doi.org/10.1002/wcc.252
Marcos M, Calafat FM, Berihuete A, Dangendorf S (2015) Long-term variations in global sea level extremes. J Geophys Res Oceans 120:8115–8134. https://doi.org/10.1002/2015JC011173
Mawdsley RJ, Haigh ID, Wells NC (2015) Global secular changes in different tidal high water, low water and range levels. Earth Future 3:66–81. https://doi.org/10.1002/2014EF000282
McInnes KL, Church J, Monselesan D, Hunter JR, O’Grady JG, Haigh ID, Zhang X (2015) Information for Australian impact and adaptation planning in response to sea-level rise. Aust Meteorol Oceanogr J 65:127–149
Menendez M, Woodworth PL (2010) Changes in extreme high water levels based on a quasi-global tide-gauge data set. J Geophys Res 115:C10011. https://doi.org/10.1029/2009JC005997
Moftakhari HM, AghaKouckak A, Sanders BF, Feldman DL, Sweet W, Matthew RA, Luke A (2015) Increased nuisance flooding along the coasts of the United States due to sea level rise: past and future. Geophys Res Lett 43:9846–9852. https://doi.org/10.1002/2015GL066072
Moftakhari HR, Salvadori G, AghaKouchak A, Sanders BF, Matthew RA (2017) Compound effects of sea level rise and fluvial flooding. Proc Natl Acad Sci USA 114:9785–9790. https://doi.org/10.1073/pnas.1620325114
Moftakhari HR, AghaKouchak A, Sanders BF, Allaire M, Matthew RA (2018) What is nuisance flooding? Defining and monitoring an emerging challenge. Water Resour Res 54:4218–4227. https://doi.org/10.1029/2018WR022828
Moore FC, Obradovich N (2020) Using remarkability to define coastal flooding thresholds. Nat Commun 11:530. https://doi.org/10.1038/s41467-019-13935-3
Muis S, Haigh ID, Nobre GG, Aerts JCJH, Ward PJ (2018) Influence of El Nino-Southern oscillation on global coastal flooding. Earth’s Future 6:1311–1322. https://doi.org/10.1029/2018EF000909
Nerem RS, Chambers DP, Leuliette EW, Mitchum GT, Giese BS (1999) Variations in global mean sea level associated with the 1997–1998 ENSO event: Implications for measuring long term sea level change. Geophys Res Lett 26:3005–3008
Oppenheimer M, Glovovic BC, van der Wal R, Magna AK, Adb-Elgawad A, Cai R, Cifuentes-Jara M, DeConto RM, Ghosh T, Hay J, Isla F, Marzeion B, Sebesvari Z (2019) Sea level rise and implications for low-lying islands, coasts and communities. In: Portner H-O, Roberts DC, Masson-Delmotte V, Zhai P, Tignor M, Poloczanska E, Mintenbeck V, Alegra A, Nicolai M, Okem A, Petzold J, Rama B, Weyer NM (eds) IPCC special report on the ocean and cryosphere in a changing climate. Cambridge University Press, Cambridge
Palmer K, Watson C, Fischer A (2019) Non-linear interactions between sea-level rise, tides, and geomorphic change in the Tamar Estuary Australia. Estuarine Coast Shelf Sci 225:106246. https://doi.org/10.1016/j.ecss.2019.106247
Parker BB (2007) Tidal analysis and prediction. NOAA special publication NOS CO-OPS 3. National Oceanic and Atmospheric Administration, Silver Spring, Maryland, United States of America. https://tidesandcurrents.noaa.gov/publications/Tidal_Analysis_and_Predictions.pdf. Accessed 24 Apr 2020
Pattiaratchi CB, Wijeratne EMS (2015) Are meteotsunamis an underrated hazard? Philos Trans R Soc A 373:20140377. https://doi.org/10.1098/rsta.2014.0377
Pawlowicz R, Beardsley B, Lentz S (2002) Classical tidal harmonic analysis including error estimates in MATLAB using TTIDE. Comput Geosci 28:929–937. https://doi.org/10.1016/S0098-3004(02)00013-4
Permanent Service for Mean Sea Level (2020). Tide gauge data. http://www.psmsl.org/data/obtaining/. Accessed on 18 Jun 2020.
Piccioni G, Dettmering D, Bosch W, Seitz F (2019) TICON: TIdal CONstants based on GESLA sea-level records from globally located tide gauges. Geosci Data J 6:97–104. https://doi.org/10.1002/gdj3.72
Ponte RM, Chaudhuri AH, Vinogradov SV (2015) Long-period tides in an atmospherically driven, stratified ocean. J Phys Oceanogr 45:1917–1928. https://doi.org/10.1175/JPO-D-15-0006.1
Pugh D, Woodworth P (2014) Sea level science. Cambridge University Press, Cambridge
Ray RD, Erofeeva SY (2014) Long-period tidal variations in the length of day. J Geophys Res Solid Earth 119:1498–1509. https://doi.org/10.1002/2013JB010830
Ray RD, Foster G (2016) Future nuisance flooding at Boston caused by astronomical tides alone. Earth Future 4:578–597. https://doi.org/10.1002/2016EF000423
Ray RD, Merrifield MA (2019) The semiannual and 4.4-year modulations of extreme high tides. J Geophys Res Oceans 124:5907–5922. https://doi.org/10.1029/2019JC015061
Raymond C, Horton RM, Zscheischler J, Martius O, AghaKouchak A, Balch J, Bowen SG, Camargo SJ, Hess J, Kornhuber K, Oppenheimer MR, Wahl AC, White T (2020) Understanding and managing connected extreme events. Nat Clim Change. https://doi.org/10.1038/s41558-020-0790-4
Roman-Rivera MA, Ellis JT (2018) The king tide conundrum. J Coast Res 34:769–771. https://doi.org/10.2112/JCOASTRES-D-18A-00001.1
Ross AC, Najjar RG, Li M, Lee SB, Zhang F, Liu W (2017) Fingerprints of sea level rise on changing tides in the Chesapeake and Delaware Bays. J Geophys Res Oceans 122:8102–8125. https://doi.org/10.1002/2017JC012887
Santamaria-Aguilar S, Vafeidis AT (2018) Are extreme skew surges independent of high water levels in a mixed semidiurnal tidal regime? J Geophys Res Oceans 123:8877–8886. https://doi.org/10.1029/2018JC014282
Serafin KA, Ruggiero P, Stockdon H (2017) The relative contribution of waves, tides, and nontidal residuals to extreme total water levels on U.S. West Coast sandy beaches. Geophys Res Lett 44:1839–1847. https://doi.org/10.1002/2016GL071020
Slangen ABA, Church JA, Agosta C, Fettweis X, Marzeion B, Richter K (2016) Anthropogenic forcing dominates global mean sea-level rise since 1970. Nat Clim Change 6:701–705. https://doi.org/10.1038/NCLIMATE2991
Smith G, Juria N (2019) Diagnosis of historical inundation events in the Marshall Islands to assist early warning systems. Nat Hazards 99:189–216. https://doi.org/10.1007/s11069-019-03735-9
Stephens SA, Bell RG, Haigh ID (2020) Spatial and temporal analysis of extreme storm-tide and skew-surge events around the coastline of New Zealand. Nat Hazards Earth Syst Sci 20:783–796. https://doi.org/10.5194/nhess-20-783-2020
Stephenson AG (2016) Harmonic Analysis of Tides Using TideHarmonics. https://CRAN.R-project.org/package=TideHarmonics. Accessed 24 Apr 2020
Strauss BH, Kopp RE, Sweet WV, Bittermann K (2016) Unnatural coastal floods: sea level rise and the human fingerprint on U.S. floods since 1950. Climate Central Research Report. Climate Central, Princeton, New Jersey, United States of America. https://sealevel.climatecentral.org/uploads/research/Unnatural-Coastal-Floods-2016.pdf. Accessed 24 Apr 2020
Sweet WV, Park J (2014) From the extreme to the mean: acceleration and tipping points of coastal inundation from sea level rise. Earth Future 2:579–600. https://doi.org/10.1002/2014EF000272
Sweet WV, Menendez M, Genz A, Obeysekera J, Park J, Marra JJ (2016) In Tide’s way: Southeast Florida’s September 2015 Sunny-day flood. Bull Am Meteorol Soc 97:S25–S30. https://doi.org/10.1175/BAMS-D-16-0117.1
Sweet WV, Kopp RE, Weaver CP, Obeysekera J, Horton RM, Thieler ER, Zervas C (2017) Global and regional sea level rise scenarios for the United States. NOAA Technical Report NOS CO-OPS 083. National Oceanic and Atmospheric Administration, Silver Spring, Maryland, United States of America. https://tidesandcurrents.noaa.gov/publications/techrpt83_Global_and_Regional_SLR_Scenarios_for_the_US_final.pdf. Accessed 24 Apr 2020
Sweet WV, Dusek G, Obeysekera J, Marra JJ (2018) Patterns and projections of high tide flooding along the U.S. coastline using a common impact threshold. NOAA Technical Report NOS CO-OPS 086. National Oceanic and Atmospheric Administration, Silver Spring, Maryland, United States of America. https://tidesandcurrents.noaa.gov/publications/techrpt86_PaP_of_HTFlooding.pdf. Accessed 24 Apr 2020
Talke SA, Jay DA (2020) Changing tides: the role of natural and anthropogenic factors. Annu Rev Mar Sci 12(1):121–151. https://doi.org/10.1146/annurev-marine-010419-010727
Thompson PR, Widlansky MJ, Merrifield MA, Becker JM, Marra JJ (2019) A statistical model for frequency of coastal flooding in Honolulu, Hawaii, during the 21st century. J Geophys Res Oceans 124:2787–2802. https://doi.org/10.1029/2018JC014741
Wahl T, Haigh ID, Nicholls RJ, Arns A, Dangendorf S, Hinkel J, Slangen ABA (2017) Understanding extreme sea levels for broad-scale coastal impact and adaptation analysis. Nat Commun 8:16075. https://doi.org/10.1038/ncomms16075
Watson PJ (2011) Is there evidence yet of acceleration in mean sea level rise around Mainland Australia? J Coast Res 27:268–377. https://doi.org/10.2112/JCOASTRES-D-10-00141.1
Watson PJ (2020) Updated mean sea-level analysis: Australia. J Coast Res 36(5):915–931. https://doi.org/10.2112/JCOASTRES-D-20-00026.1
Wdowinski S, Bray R, Kirtman BP, Wu Z (2016) Increasing flooding hazard in coastal communities due to rising sea level: case study of Miami Beach, Florida. Ocean Coast Manag 126:1–8. https://doi.org/10.1016/j.ocecoaman.2016.03.002
Williams J, Horsburgh KJ, Williams JA, Proctor RNF (2016) Tide and skew surge independence: new insights for flood risk. Geophys Res Lett 43:6410–6417. https://doi.org/10.1002/2016GL069522
Williams J, Apecechea MI, Saulter A, Horsburgh KJ (2018) Radiational tides: their double-counting in storm surge forecasts and contribution to the highest astronomical tide. Ocean Sci 14:1057–1068. https://doi.org/10.5194/os-14-1057-2018
World Meteorological Organisation (2017) WMO guidelines on the calculation of climate normals. WMO-No.1203. World Meteorological Organization, Geneva. https://library.wmo.int/doc_num.php?explnum_id=4166. Accessed 24 Apr 2020
Woodworth PL, Hunter JR, Marcos M, Caldwell P, Menendez M, Haigh I (2017) Towards a global higher-frequency sea level dataset. Geosci Data J 3:50–59. https://doi.org/10.1002/gdj3.42
Woodworth PL, Melet A, Marcos M, Ray RD, Woppelmann G, Sasaki YN, Cirano M, Hibbert A, Huthnance JM, Monserrat S, Merrifield MA (2019) Forcing factors affecting sea level changes at the coast. Surv Geophys 40:1351–1397. https://doi.org/10.1007/s10712-019-09531-1
Wu W, McInnes K, O’Grady J, Hoeke R, Leonard M, Westra S (2018) Mapping dependence between extreme rainfall and storm surge. J Geophys Res Oceans 123:2461–2474. https://doi.org/10.1002/2017JC013472
Wunsch C, Haidvogel DB, Iskandarani M, Hughes R (1997) Dynamics of long-period tides. Prog Oceanog 40:81–108
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Hague, B.S., Taylor, A.J. Tide-only inundation: a metric to quantify the contribution of tides to coastal inundation under sea-level rise. Nat Hazards 107, 675–695 (2021). https://doi.org/10.1007/s11069-021-04600-4
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DOI: https://doi.org/10.1007/s11069-021-04600-4