Abstract
The estimation of long-term sea level variability is of primary importance for a climate change assessment. Despite the value of the subject, no scientific consensus has yet been reached on the existing acceleration in observed values. The existence of this acceleration is crucial for coastal protection planning purposes. The absence of the acceleration would enhance the debate on the general validity of current future projections. Methodologically, the evaluation of the acceleration is a controversial and still open discussion, reported in a number of review articles, which illustrate the state-of-art in the field of sea level research. In the present paper, the well-proven direct scaling analysis approach is proposed in order to describe the long-term sea level variability at 12 worldwide-selected tide gauge stations. For each of the stations, it has been shown that the long-term sea level variability exhibits a trimodal scaling behaviour, which can be modelled by a power law with three different pairs of shape and scale parameters. Compared to alternative methods in literature, which take into account multiple correlated factors, this simple method allows to reduce the uncertainties on the sea level rise parameters estimation.
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References
Barbosa SM, Silva ME, Fernandes MJ (2008) Time series analysis of sea-level records: characterising long-term variability. In: Donner RV, Barbosa SM (eds) Nonlinear time series analysis in the geosciences. Lecture notes in earth sciences, vol 112. Springer, Berlin. https://doi.org/10.1007/978-3-540-78938-3_8
Boretti A (2012) Is there any support in the long term tide gauge data to the claims that parts of Sydney will be swamped by rising sea levels? Coast Eng 64(Supplement C):161–167. https://doi.org/10.1016/j.coastaleng.2012.01.006
Breaker L, Ruzmaikin A (2013) Estimating rates of acceleration based on the 157-Year record of sea level from San Francisco, California, USA. J Coast Res 29:43–51. https://doi.org/10.2307/23353569
Chen X, Feng Y, Huang NE (2014) Global sea level trend during 1993–2012. Glob Planet Change 112:26–32
Chu PC, Lu S, Chen Y (1997) Temporal and spatial variabilities of the South China Sea surface temperature anomaly. J Geophys Res Oceans 102(C9):20937–20955. https://doi.org/10.1029/97JC00982
Church JA, White NJ (2006) A \(20^{th}\) century acceleration in global sea-level rise. Geophys Res Lett. https://doi.org/10.1029/2005GL024826
Comegna A, Coppola A, Comegna V, Severino G, Sommella A, Vitale C (2010) State-space approach to evaluate spatial variability of field measured soil water status along a line transect in a volcanic-vesuvian soil. Hydrol Earth Syst Sci 14:2455–2463
D’Alessandro F, Tomasicchio GR (2016) Wave-dune interaction and beach resilience in large-scale physical model tests. Coast Eng 116:15–25. https://doi.org/10.1016/j.coastaleng.2016.06.002
D’Alessandro F, Tomasicchio GR, Musci F, Ricca A (2012) Dune erosion physical, analytical and numerical modelling. Coast Eng Proc 1:32
De Bartolo S, Fallico C, Ferrari E (2015) Simple scaling analysis of active channel patterns in fiumara environment. Geomorphology 232(Supplement C):94–102. https://doi.org/10.1016/j.geomorph.2015.01.001
Ding X, Zheng D, Chen Y, Chao J, Li Z (2001) Sea level change in Hong Kong from tide gauge measurements of 1954–1999. J Geodesy 74(10):683–689. https://doi.org/10.1007/s001900000128
Donoghue JF, Parkinson RW (2011a) Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27(3):409–417
Donoghue JF, Parkinson RW (2011b) Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27(5):994–996. https://doi.org/10.2112/JCOASTRES-D-11-00098.1
Douglas BC (1991) Global sea level rise. J Geophys Res Oceans 96(C4):6981–6992. https://doi.org/10.1029/91JC00064
Douglas BC (1992) Global sea level acceleration. J Geophys Res Oceans 97(C8):12699–12706. https://doi.org/10.1029/92JC01133
Douglas BC (1997) Global sea rise: a redetermination. Surv Geophys 18(2):279–292. https://doi.org/10.1023/A:1006544227856
Douglas BC, Kearney MT, Leatherman SP (eds) (2001) Sea level change in the era of recording tide gauge. Chap. 3: Sea level rise: history and consequences, pp 37–64. Academic Press https://doi.org/10.1016/S0074-6142(01)80006-1
Fawcett L, Walshaw D (2016) Sea-surge and wind speed extremes: optimal estimation strategies for planners and engineers. Stoch Environ Res Risk Assess 30(2):463–480. https://doi.org/10.1007/s00477-015-1132-3
Hergarten S (2002) Self-organized criticality in earth systems. Springer, Berlin
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(3):493–504
Houston JR (2017) Shoreline change in response to sea-level rise on Florida’s West Coast. J Coast Res 33:1243–1260. https://doi.org/10.2112/JCOASTRES-D-17-00024.1
Houston JR, Dean RG (2011a) Reply to: Donoghue, J.F. and Parkinson, R.W., Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27(3):409–417
Houston JR, Dean RG (2011b) Reply to: Donoghue, J.F. and Parkinson, R.W., Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27:997–998. https://doi.org/10.2112/11A-00010.1
Houston JR, Dean RG (2011c) Reply to: Rahmstorf, S. and Vermeer, M., 2011. Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27(3):409–417
Houston JR, Dean RG (2011d) Reply to: Rahmstorf, S. and Vermeer, M., 2011. Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27:788–790. https://doi.org/10.2112/JCOASTRES-D-11A-00008.1
Houston JR, Dean RG (2011e) Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27:409–417. https://doi.org/10.2112/JCOASTRES-D-10-00157.1
Hunter JR, Brown M (2013) Discussion of Boretti, A., ’Is there any support in the long term tide gauge data to the claims that parts of Sydney will be swamped by rising sea levels?’ Coast Eng 64:161–167, June 2012. Coast Eng 751–753
IPCC (2014) Climate change 2014: synthesis report. Contribution of working groups “I”, “II” and “III” to the fifth assessment report of the intergovernmental panel on climate change “[Core Writing Team, R.K. Pachauri and L.A. Meyer (eds.)]”. IPCC, Geneva, Switzerland, p 151
Jevrejeva S, Moore JC, Grinsted A, Woodworth PL (2008) Recent global sea level acceleration started over 200 years ago? Geophys Res Lett. https://doi.org/10.1029/2008GL033611
Jongman B, Ward PJJ, Aerts JCJH (2012) Global exposure to river and coastal flooding: long term trends and changes. Glob Environ Change 22(4):823–835. https://doi.org/10.1016/j.gloenvcha.2012.07.004
Keller CF (2009) Global warming: a review of this mostly settled issue. Stoch Environ Res Risk Assess 23(5):643–676. https://doi.org/10.1007/s00477-008-0253-3
Levy JK, Hall J (2005) Advances in flood risk management under uncertainty. Stoch Environ Res Risk Assess 19(6):375–377. https://doi.org/10.1007/s00477-005-0005-6
Lin N, Shullman E (2017) Dealing with hurricane surge flooding in a changing environment: part i. risk assessment considering storm climatology change, sea level rise, and coastal development. Stoch Environ Res Risk Assess 31(9):2379–2400. https://doi.org/10.1007/s00477-016-1377-5
Meakin P (1998) Fractals, scaling and growth far from equilibrium. Cambridge nonlinear science series 5. Cambridge University Press, Cambridge
Milne GA, Gehrels WR, Hughes CW, Tamisiea ME (2009) Identifying the causes of sea-level change. Nat Geosci 2(7):471–478. https://doi.org/10.1038/ngeo544
Moftakhari HR, Salvadori G, AghaKouchak A, Sanders BF, Matthew RA (2017) Compounding effects of sea level rise and fluvial flooding. Proc Natl Acad Sci 114(37):9785–9790
Mörner NA (2010) Some problems in the reconstruction of mean sea level and its changes with time. Quat Int 221(1):3–8. https://doi.org/10.1016/j.quaint.2009.10.044
Jones E, Oliphant E, Peterson P, et al. (2001) SciPy: Open Source Scientific Tools for Python. http://www.scipy.org/
Permanent Service for Mean Sea Level (PSMSL) (2017) Tide gauge data. Retrieved Oct 2017 from http://www.psmsl.org/data/obtaining/
Pugh D (2004) Changing sea levels: effects of tides. Weather and climate. Cambridge University Press, Cambridge
Pugh DT (1996) Tides, surges and mean sea-level (reprinted with corrections). Wiley, Chichester
Python Software Foundation (2017) Python Language Reference, version 2.7. https://www.python.org/
Rahmstorf S, Vermeer M (2011) Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27:409–417
Rahmstorf S, Vermeer M (2011) Discussion of: Houston, J.R. and Dean, R.G., 2011. Sea-level acceleration based on U.S. tide gauges and extensions of previous global-gauge analyses. J Coast Res 27:784–787. https://doi.org/10.2112/JCOASTRES-D-11-00082.1
Severino G (2011) Stochastic analysis of well type flows in randomly heterogeneous porous formations. Water Resour Res. https://doi.org/10.1029/2010WR009840
Severino G, Comegna A, Coppola A, Sommella A, Santini A (2010) Stochastic analysis of a field-scale unsaturated transport experiment. Adv Water Resour 33:1188–1198
Severino G, De Bartolo S, Toraldo G, Srinivasan G, Viswanathan H (2012) Travel time approach to kinetically sorbing solute by diverging radial flows through heterogeneous porous formations. Water Resour Res. https://doi.org/10.1029/2012WR012608
Severino G, Monetti V, Santini A, Toraldo G (2006) Unsaturated transport with linear kinetic sorption under unsteady vertical flows. Transp Porous Media 63:147–174
Severino G, Santini A, Sommella A (2011) Macrodispersion by diverging radial flows in randomly heterogeneous porous media. J Contam Hydrol 123:40–49
Sivakumar B (2011) Global climate change and its impacts on water resources planning and management: assessment and challenges. Stoch Environ Res Risk Assess 25(4):583–600. https://doi.org/10.1007/s00477-010-0423-y
Sornette D (2000) Critical phenomena in natural sciences. Springer, Berlin
Tal E, Atkinson LP, Corlett WB, Blanco JL (2013) Gulf stream’s induced sea level rise and variability along the U.S. Mid Atlantic Coast. J Geophys Res Oceans 118(2):685–697. https://doi.org/10.1002/jgrc.20091
Thorarinsdottir TL, Guttorp P, Drews M, Kaspersen PS, de Bruin K (2017) Sea level adaptation decisions under uncertainty. Water Resour Res. https://doi.org/10.1002/2016WR020354
Tomasicchio GR, Sánchez-Arcilla A, D’Alessandro F, Ilic S, James MR, Sancho F, Fortes CJ, Schüttrumpf H (2011) Large-scale experiments on dune erosion processes. J Hydraul Res 49(sup1):20–30. https://doi.org/10.1080/00221686.2011.604574
Visser H, Dangendorf S, Petersen AC (2015) A review of trend models applied to sea level data with reference to the acceleration-deceleration debate. J Geophys Res Oceans 120(6):3873–3895. https://doi.org/10.1002/2015JC010716
van der Walt S, Colbert SC, Varoquaux G (2011) The numpy array: A structure for efficient numerical computation. Comput Sci Eng 13(2):22–30. https://doi.org/10.1109/MCSE.2011.37
Watson PJ (2011) Is there evidence yet of acceleration in mean sea level rise around mainland Australia? J Coast Res 27:368–377. https://doi.org/10.2112/JCOASTRES-D-10-00141.1
Woodworth PL (1990) A search for accelerations in records of European mean sea level. Int J Climatol 10(2):129–143. https://doi.org/10.1002/joc.3370100203
Woodworth PL, Pugh DT, Meredith MP, Blackman DL (2005) Sea level changes at Port Stanley, Falkland Islands. J Geophys Res Oceans 110(C6):2156–2202. https://doi.org/10.1029/2004JC002648
Woodworth PL, White NJ, Jevrejeva S, Holgate SJ, Church JA, Gehrels WR (2009) Evidence for the accelerations of sea level on multi-decade and century timescales. Int J Climatol 29(6):777–789. https://doi.org/10.1002/joc.1771
Wöppelmann G, Zerbini S, Marcos M (2006) Tide gauges and Geodesy: a secular synergy illustrated by three present-day case studies. Comptes rendus - Géoscience 338(14):980–991
Wu S, Feng A, Gao J, Chen M, Li Y, Wang L (2017) Shortening the recurrence periods of extreme water levels under future sea-level rise. Stoch Environ Res Risk Assess 31(10):2573–2584. https://doi.org/10.1007/s00477-016-1327-2
Zhang Y, Ge E (2013) Temporal scaling behavior of sea-level change in Hong Kong—Multifractal temporally weighted detrended fluctuation analysis. Glob Planet Change 100:362–370
Acknowledgements
This work was funded by the Apulia Region through the Regional Cluster Projects ‘Start’ and ‘Eco-Smart Breakwater’. Moreover, the authors thank Prof. G. Salvadori for the fruitful discussions.
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Tomasicchio, G.R., Lusito, L., D’Alessandro, F. et al. A direct scaling analysis for the sea level rise. Stoch Environ Res Risk Assess 32, 3397–3408 (2018). https://doi.org/10.1007/s00477-018-1568-3
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DOI: https://doi.org/10.1007/s00477-018-1568-3